btaf430

Author

Tingting Zhan

Published

May 14, 2026

1 btaf430

TipExamples require
library(survival)
library(mgcv)

We use the data example Ki67 from package groupedHyperframe (v0.4.0, GPL-2) in this non-spatial application. The object Ki67q is a hyper data frame with

Listing 1.1: Data: a hyper data frame Ki67q
Ki67q
Hyperframe:
    patientID tissueID Tstage  PFS adj_rad adj_chemo histology  Her2   HR  node
1     PT00037 (factor)      2 100+   FALSE     FALSE         3  TRUE TRUE  TRUE
2     PT00039 (factor)      1   22   FALSE     FALSE         3 FALSE TRUE FALSE
3     PT00040 (factor)      1  99+   FALSE        NA         3 FALSE TRUE FALSE
4     PT00042 (factor)      1  99+   FALSE      TRUE         3 FALSE TRUE  TRUE
5     PT00054 (factor)      1  112    TRUE      TRUE         3 FALSE TRUE  TRUE
6     PT00059 (factor)      4   12    TRUE     FALSE         2  TRUE TRUE  TRUE
7     PT00062 (factor)      2  64+   FALSE     FALSE         3 FALSE TRUE  TRUE
8     PT00068 (factor)      2  56+   FALSE     FALSE         2  TRUE TRUE  TRUE
9     PT00082 (factor)      2  79+   FALSE     FALSE         3  TRUE TRUE FALSE
10    PT00084 (factor)      2   26   FALSE      TRUE         2  TRUE TRUE FALSE
11    PT00085 (factor)      1   73   FALSE     FALSE         2 FALSE TRUE FALSE
12    PT00086 (factor)      2  97+   FALSE     FALSE         3 FALSE TRUE  TRUE
13    PT00087 (factor)      3   19    TRUE      TRUE         3 FALSE TRUE  TRUE
14    PT00088 (factor)      2  95+   FALSE      TRUE         1 FALSE TRUE  TRUE
15    PT00089 (factor)      1  92+   FALSE     FALSE         1 FALSE TRUE FALSE
16    PT00090 (factor)      2 101+   FALSE     FALSE         2 FALSE TRUE  TRUE
17    PT00093 (factor)      1   24   FALSE     FALSE         3 FALSE TRUE FALSE
18    PT00097 (factor)      2  84+   FALSE     FALSE         2  TRUE TRUE  TRUE
19    PT00100 (factor)      1  89+   FALSE     FALSE         2 FALSE TRUE FALSE
20    PT00186 (factor)      2   10    TRUE     FALSE         1 FALSE TRUE  TRUE
21    PT00188 (factor)      2   60    TRUE      TRUE         2 FALSE TRUE FALSE
22    PT00194 (factor)      2 201+   FALSE      TRUE         1 FALSE TRUE  TRUE
23    PT00202 (factor)      1  39+   FALSE     FALSE         2 FALSE TRUE  TRUE
24    PT00210 (factor)      4 196+    TRUE     FALSE         2 FALSE TRUE  TRUE
25    PT00211 (factor)      2  165   FALSE     FALSE         1 FALSE TRUE FALSE
26    PT00212 (factor)      2   45    TRUE     FALSE         2 FALSE TRUE FALSE
27    PT00213 (factor)      2 125+   FALSE     FALSE         1 FALSE TRUE FALSE
28    PT00214 (factor)      1  16+   FALSE     FALSE         1 FALSE TRUE FALSE
29    PT00215 (factor)      1 208+   FALSE      TRUE         1 FALSE TRUE FALSE
30    PT00216 (factor)      2  70+   FALSE     FALSE         2 FALSE TRUE  TRUE
31    PT00218 (factor)      1   28   FALSE     FALSE         2 FALSE TRUE FALSE
32    PT00220 (factor)      2   10    TRUE      TRUE         2 FALSE TRUE  TRUE
33    PT00221 (factor)      1 160+    TRUE     FALSE         1 FALSE TRUE FALSE
34    PT00222 (factor)      1   18   FALSE      TRUE         1 FALSE TRUE  TRUE
35    PT00226 (factor)      1 195+    TRUE     FALSE         2 FALSE TRUE FALSE
36    PT00228 (factor)      4  47+   FALSE     FALSE         2 FALSE TRUE FALSE
37    PT00230 (factor)      1 180+    TRUE     FALSE         2 FALSE TRUE FALSE
38    PT00232 (factor)      1  61+    TRUE     FALSE         2 FALSE TRUE FALSE
39    PT00234 (factor)      1   48    TRUE      TRUE         3 FALSE TRUE  TRUE
40    PT00240 (factor)      2  95+   FALSE     FALSE         1 FALSE TRUE FALSE
41    PT00241 (factor)      2  105   FALSE     FALSE         2 FALSE TRUE FALSE
42    PT00242 (factor)      2   23   FALSE     FALSE         3 FALSE TRUE FALSE
43    PT00243 (factor)      1 155+   FALSE     FALSE         1 FALSE TRUE FALSE
44    PT00244 (factor)      2  37+   FALSE     FALSE         3 FALSE TRUE  TRUE
45    PT00251 (factor)      1 180+   FALSE     FALSE         1 FALSE TRUE FALSE
46    PT00258 (factor)      2  18+   FALSE     FALSE         1 FALSE TRUE FALSE
47    PT00260 (factor)      1 204+    TRUE     FALSE         1 FALSE TRUE FALSE
48    PT00262 (factor)      2   63    TRUE      TRUE         1 FALSE TRUE  TRUE
49    PT00263 (factor)      2  15+   FALSE      TRUE         2 FALSE TRUE  TRUE
50    PT00270 (factor)      1 188+    TRUE     FALSE         2 FALSE TRUE FALSE
51    PT00275 (factor)      1 210+    TRUE      TRUE         1 FALSE TRUE  TRUE
52    PT00281 (factor)      1 105+   FALSE     FALSE         2 FALSE TRUE  TRUE
53    PT00283 (factor)      2   37   FALSE      TRUE         2 FALSE TRUE  TRUE
54    PT00293 (factor)      1 147+    TRUE     FALSE         2 FALSE TRUE FALSE
55    PT00298 (factor)      1 205+   FALSE      TRUE         2 FALSE TRUE  TRUE
56    PT00302 (factor)      2 198+   FALSE      TRUE         1 FALSE TRUE  TRUE
57    PT00303 (factor)      1  83+   FALSE     FALSE         2 FALSE TRUE FALSE
58    PT00304 (factor)      1 152+   FALSE      TRUE         1 FALSE TRUE FALSE
59    PT00308 (factor)      1 165+    TRUE      TRUE         2 FALSE TRUE  TRUE
60    PT00315 (factor)      2 193+   FALSE      TRUE         1    NA TRUE  TRUE
61    PT00317 (factor)      2 189+   FALSE     FALSE         1 FALSE TRUE FALSE
62    PT00319 (factor)      1 196+   FALSE      TRUE         2 FALSE TRUE  TRUE
63    PT00322 (factor)      1  71+   FALSE     FALSE         2 FALSE TRUE FALSE
64    PT00323 (factor)      2  48+   FALSE     FALSE         3 FALSE TRUE FALSE
65    PT00324 (factor)      1 138+   FALSE      TRUE         2 FALSE TRUE  TRUE
66    PT00332 (factor)      1   10    TRUE     FALSE         2  TRUE TRUE FALSE
67    PT00333 (factor)      2 135+   FALSE      TRUE         1 FALSE TRUE FALSE
68    PT00335 (factor)      2 157+   FALSE      TRUE         3 FALSE TRUE FALSE
69    PT00338 (factor)      1 193+   FALSE     FALSE         2 FALSE TRUE FALSE
70    PT00344 (factor)      3 149+    TRUE      TRUE         2 FALSE TRUE  TRUE
71    PT00348 (factor)      1 141+    TRUE     FALSE         2    NA TRUE FALSE
72    PT00349 (factor)      2   55    TRUE      TRUE         2 FALSE TRUE FALSE
73    PT00351 (factor)      1 177+    TRUE     FALSE         2 FALSE TRUE FALSE
74    PT00352 (factor)      1 189+    TRUE     FALSE         2 FALSE TRUE FALSE
75    PT00355 (factor)      1  55+   FALSE     FALSE         2 FALSE TRUE  TRUE
76    PT00357 (factor)      1 165+   FALSE     FALSE         1 FALSE TRUE  TRUE
77    PT00368 (factor)      1 203+   FALSE     FALSE         3  TRUE TRUE FALSE
78    PT00380 (factor)      1  80+    TRUE     FALSE         3 FALSE TRUE FALSE
79    PT00384 (factor)      2 189+   FALSE     FALSE         2 FALSE TRUE  TRUE
80    PT00385 (factor)      2 144+   FALSE      TRUE         2 FALSE TRUE  TRUE
81    PT00386 (factor)      2 135+    TRUE     FALSE         2 FALSE TRUE FALSE
82    PT00388 (factor)      1  90+    TRUE     FALSE         1 FALSE TRUE FALSE
83    PT00393 (factor)      2  94+    TRUE     FALSE         2 FALSE TRUE FALSE
84    PT00395 (factor)      3 146+   FALSE      TRUE         3 FALSE TRUE FALSE
85    PT00396 (factor)      2  163    TRUE     FALSE         1 FALSE TRUE  TRUE
86    PT00397 (factor)      3   49   FALSE     FALSE         2 FALSE TRUE FALSE
87    PT00401 (factor)      2  97+      NA        NA         2 FALSE TRUE  TRUE
88    PT00413 (factor)      2  90+   FALSE     FALSE         3 FALSE TRUE FALSE
89    PT00422 (factor)      1  25+   FALSE     FALSE         2 FALSE TRUE FALSE
90    PT00423 (factor)      4  67+    TRUE      TRUE         2    NA TRUE FALSE
91    PT00424 (factor)      1   63   FALSE      TRUE         3 FALSE TRUE FALSE
92    PT00425 (factor)      1  23+   FALSE     FALSE         1 FALSE TRUE FALSE
93    PT00426 (factor)      1 128+   FALSE     FALSE         1 FALSE TRUE FALSE
94    PT00427 (factor)      1  52+   FALSE     FALSE         2  TRUE TRUE FALSE
95    PT00428 (factor)      1   15    TRUE      TRUE         2 FALSE TRUE FALSE
96    PT00433 (factor)      2   79   FALSE     FALSE         1 FALSE TRUE  TRUE
97    PT00434 (factor)      1  75+   FALSE     FALSE         1 FALSE TRUE  TRUE
98    PT00438 (factor)      1 185+    TRUE      TRUE         2 FALSE TRUE  TRUE
99    PT00439 (factor)      2 145+   FALSE     FALSE         1 FALSE TRUE  TRUE
100   PT00441 (factor)      1 185+   FALSE      TRUE         3  TRUE TRUE FALSE
101   PT00442 (factor)      2  175    TRUE     FALSE         1 FALSE TRUE FALSE
102   PT00443 (factor)      2 107+   FALSE     FALSE         2 FALSE TRUE FALSE
103   PT00448 (factor)      1 161+   FALSE     FALSE         3 FALSE TRUE  TRUE
104   PT00449 (factor)      1 183+    TRUE     FALSE         2 FALSE TRUE FALSE
105   PT00450 (factor)      1 127+    TRUE     FALSE         2 FALSE TRUE FALSE
106   PT00451 (factor)      2 127+   FALSE     FALSE         2 FALSE TRUE FALSE
107   PT00455 (factor)      1 174+    TRUE     FALSE         3 FALSE TRUE  TRUE
108   PT00456 (factor)      1  108    TRUE     FALSE         1 FALSE TRUE FALSE
109   PT00462 (factor)      2   44   FALSE     FALSE         2 FALSE TRUE FALSE
110   PT00468 (factor)      2  85+   FALSE     FALSE         3 FALSE TRUE FALSE
111   PT00469 (factor)      1 115+   FALSE     FALSE         2 FALSE TRUE FALSE
112   PT00472 (factor)      1 122+   FALSE     FALSE         1 FALSE TRUE    NA
113   PT00478 (factor)      2  85+   FALSE     FALSE         2 FALSE TRUE FALSE
114   PT00486 (factor)      1 163+    TRUE     FALSE         2 FALSE TRUE  TRUE
115   PT00488 (factor)      1   71    TRUE      TRUE         1    NA TRUE  TRUE
116   PT00493 (factor)      1  93+   FALSE     FALSE         1 FALSE TRUE FALSE
117   PT00497 (factor)      2 115+    TRUE     FALSE         2 FALSE TRUE FALSE
118   PT00500 (factor)      2   17    TRUE      TRUE         2 FALSE TRUE  TRUE
119   PT00502 (factor)      1 165+    TRUE     FALSE         2 FALSE TRUE FALSE
120   PT00504 (factor)      1 132+    TRUE      TRUE         3 FALSE TRUE  TRUE
121   PT00505 (factor)      2 184+   FALSE     FALSE         3  TRUE TRUE FALSE
122   PT00506 (factor)      2   41   FALSE     FALSE         3  TRUE TRUE FALSE
123   PT00507 (factor)      2   29    TRUE     FALSE         2 FALSE TRUE  TRUE
124   PT00511 (factor)      2   24    TRUE      TRUE         2 FALSE TRUE  TRUE
125   PT00512 (factor)      2 108+    TRUE      TRUE         2 FALSE TRUE FALSE
126   PT00514 (factor)      1  55+    TRUE     FALSE         3 FALSE TRUE FALSE
127   PT00515 (factor)      1 154+    TRUE     FALSE         2 FALSE TRUE FALSE
128   PT00516 (factor)      2 170+   FALSE     FALSE         2 FALSE TRUE FALSE
129   PT00517 (factor)      1  78+   FALSE     FALSE         2 FALSE TRUE FALSE
130   PT00518 (factor)      1 101+    TRUE     FALSE         1 FALSE TRUE FALSE
131   PT00519 (factor)      1 178+    TRUE      TRUE         1 FALSE TRUE FALSE
132   PT00522 (factor)      1 145+   FALSE      TRUE         1 FALSE TRUE FALSE
133   PT00525 (factor)      2 182+    TRUE     FALSE         1 FALSE TRUE FALSE
134   PT00526 (factor)      2   81   FALSE     FALSE         3 FALSE TRUE FALSE
135   PT00527 (factor)      2 197+   FALSE     FALSE         1 FALSE TRUE  TRUE
136   PT00529 (factor)      1 182+   FALSE      TRUE         1 FALSE TRUE  TRUE
137   PT00530 (factor)      1 136+    TRUE     FALSE         1 FALSE TRUE FALSE
138   PT00541 (factor)      1  88+   FALSE      TRUE         1    NA TRUE  TRUE
139   PT00546 (factor)      1  68+    TRUE      TRUE         2 FALSE TRUE  TRUE
140   PT00547 (factor)      1    7   FALSE     FALSE         2 FALSE TRUE FALSE
141   PT00550 (factor)      2 118+    TRUE     FALSE         3  TRUE TRUE FALSE
142   PT00551 (factor)      2 140+    TRUE      TRUE         2 FALSE TRUE  TRUE
143   PT00554 (factor)      1  58+   FALSE      TRUE         2 FALSE TRUE FALSE
144   PT00555 (factor)      1  94+    TRUE     FALSE         2 FALSE TRUE FALSE
145   PT00557 (factor)      1 169+   FALSE     FALSE         3 FALSE TRUE FALSE
146   PT00561 (factor)      1  84+   FALSE     FALSE         1    NA TRUE FALSE
147   PT00562 (factor)      1 125+   FALSE      TRUE         1 FALSE TRUE  TRUE
148   PT00566 (factor)      1 167+    TRUE     FALSE         2 FALSE TRUE FALSE
149   PT00567 (factor)      2  73+   FALSE     FALSE         2 FALSE TRUE FALSE
150   PT00576 (factor)      2  97+    TRUE      TRUE         2 FALSE TRUE  TRUE
151   PT00577 (factor)      1 164+    TRUE     FALSE         3 FALSE TRUE FALSE
152   PT00585 (factor)      1 117+    TRUE      TRUE         3  TRUE TRUE  TRUE
153   PT00586 (factor)      1 116+   FALSE     FALSE         1 FALSE TRUE FALSE
154   PT00588 (factor)      1  71+   FALSE     FALSE         1 FALSE TRUE FALSE
155   PT00589 (factor)      2 129+    TRUE     FALSE         1 FALSE TRUE  TRUE
156   PT00594 (factor)      1 150+    TRUE     FALSE         1 FALSE TRUE FALSE
157   PT00595 (factor)      1  43+   FALSE      TRUE         2 FALSE TRUE  TRUE
158   PT00596 (factor)      1 130+    TRUE     FALSE         1 FALSE TRUE FALSE
159   PT00597 (factor)      2 150+   FALSE      TRUE         1 FALSE TRUE FALSE
160   PT00600 (factor)      1 152+    TRUE     FALSE         2 FALSE TRUE FALSE
161   PT00601 (factor)      3 140+   FALSE      TRUE         2 FALSE TRUE  TRUE
162   PT00603 (factor)      2  142    TRUE      TRUE         2 FALSE TRUE  TRUE
163   PT00606 (factor)      1 152+   FALSE     FALSE         1 FALSE TRUE FALSE
164   PT00608 (factor)      1 136+   FALSE     FALSE         2 FALSE TRUE FALSE
165   PT00610 (factor)      1 154+    TRUE     FALSE         3 FALSE TRUE FALSE
166   PT00613 (factor)      1   25    TRUE     FALSE         2 FALSE TRUE FALSE
167   PT00614 (factor)      1 150+    TRUE     FALSE         1 FALSE TRUE FALSE
168   PT00616 (factor)      2 139+   FALSE      TRUE         1 FALSE TRUE  TRUE
169   PT00621 (factor)      1  95+    TRUE     FALSE         2 FALSE TRUE FALSE
170   PT00626 (factor)      1  30+   FALSE     FALSE         1 FALSE TRUE FALSE
171   PT00627 (factor)      1 152+    TRUE      TRUE         1 FALSE TRUE  TRUE
172   PT00629 (factor)      1 148+   FALSE     FALSE         1 FALSE TRUE  TRUE
173   PT00633 (factor)      1 147+    TRUE      TRUE         3 FALSE TRUE  TRUE
174   PT00637 (factor)      1 135+   FALSE     FALSE         2  TRUE TRUE FALSE
175   PT00638 (factor)      1 152+    TRUE     FALSE         1 FALSE TRUE FALSE
176   PT00639 (factor)      3  136    TRUE      TRUE         1 FALSE TRUE  TRUE
177   PT00642 (factor)      1 132+    TRUE     FALSE         1 FALSE TRUE FALSE
178   PT00644 (factor)      1 143+    TRUE     FALSE         1 FALSE TRUE FALSE
179   PT00646 (factor)      3 171+    TRUE      TRUE         3 FALSE TRUE  TRUE
180   PT00648 (factor)      1 159+    TRUE     FALSE         1 FALSE TRUE FALSE
181   PT00653 (factor)      4   30   FALSE     FALSE         3 FALSE TRUE FALSE
182   PT00654 (factor)      1   42    TRUE      TRUE         1 FALSE TRUE  TRUE
183   PT00657 (factor)      2   36   FALSE      TRUE         3 FALSE TRUE  TRUE
184   PT00658 (factor)      1 106+   FALSE     FALSE         1  TRUE TRUE FALSE
185   PT00659 (factor)      1 149+    TRUE     FALSE         2 FALSE TRUE FALSE
186   PT00661 (factor)      1 161+    TRUE      TRUE         3  TRUE TRUE FALSE
187   PT00665 (factor)      4  38+    TRUE      TRUE         2 FALSE TRUE  TRUE
188   PT00666 (factor)      1 166+    TRUE     FALSE         1 FALSE TRUE FALSE
189   PT00669 (factor)      2  70+    TRUE     FALSE         3 FALSE TRUE  TRUE
190   PT00673 (factor)      1 101+   FALSE     FALSE         3 FALSE TRUE FALSE
191   PT00675 (factor)      1 151+    TRUE     FALSE         1 FALSE TRUE FALSE
192   PT00683 (factor)      2 133+    TRUE      TRUE         2 FALSE TRUE  TRUE
193   PT00684 (factor)      1 135+    TRUE     FALSE         1 FALSE TRUE FALSE
194   PT00690 (factor)      1 102+   FALSE     FALSE         2 FALSE TRUE FALSE
195   PT00694 (factor)      1 118+    TRUE     FALSE         1  TRUE TRUE FALSE
196   PT00700 (factor)      2 146+   FALSE     FALSE         3 FALSE TRUE FALSE
197   PT00703 (factor)      1 152+    TRUE     FALSE         2 FALSE TRUE FALSE
198   PT00704 (factor)      1  93+   FALSE      TRUE         2 FALSE TRUE  TRUE
199   PT00705 (factor)      1 129+   FALSE     FALSE         1 FALSE TRUE FALSE
200   PT00706 (factor)      1 152+   FALSE     FALSE         3 FALSE TRUE FALSE
201   PT00707 (factor)      1  98+   FALSE     FALSE         2 FALSE TRUE  TRUE
202   PT00708 (factor)      1  44+   FALSE     FALSE         3 FALSE TRUE FALSE
203   PT00710 (factor)      1  96+   FALSE     FALSE         1 FALSE TRUE FALSE
204   PT00711 (factor)      1 116+   FALSE     FALSE         1 FALSE TRUE FALSE
205   PT00712 (factor)      1 147+    TRUE     FALSE         1 FALSE TRUE FALSE
206   PT00714 (factor)      1  71+   FALSE     FALSE         3  TRUE TRUE FALSE
207   PT00716 (factor)      3  23+   FALSE      TRUE         1 FALSE TRUE  TRUE
208   PT00718 (factor)      1 154+    TRUE     FALSE         2 FALSE TRUE FALSE
209   PT00719 (factor)      1  86+   FALSE     FALSE         1 FALSE TRUE FALSE
210   PT00721 (factor)      1   18   FALSE     FALSE         2 FALSE TRUE FALSE
211   PT00724 (factor)      2  141    TRUE      TRUE         2 FALSE TRUE FALSE
212   PT00730 (factor)      1 158+   FALSE     FALSE         2 FALSE TRUE FALSE
213   PT00732 (factor)      1 149+    TRUE     FALSE         2 FALSE TRUE FALSE
214   PT00733 (factor)      1  65+    TRUE     FALSE         2 FALSE TRUE FALSE
215   PT00735 (factor)      1  92+    TRUE     FALSE         2 FALSE TRUE FALSE
216   PT00736 (factor)      2 117+   FALSE     FALSE         2 FALSE TRUE  TRUE
217   PT00747 (factor)      2  18+   FALSE      TRUE         1 FALSE TRUE  TRUE
218   PT00753 (factor)      1   71    TRUE     FALSE         3 FALSE TRUE FALSE
219   PT00756 (factor)      2 150+   FALSE      TRUE         1  TRUE TRUE  TRUE
220   PT00760 (factor)      1  47+   FALSE      TRUE         2 FALSE TRUE  TRUE
221   PT00762 (factor)      1 139+   FALSE     FALSE         2 FALSE TRUE  TRUE
222   PT00764 (factor)      2  39+   FALSE     FALSE         2 FALSE TRUE  TRUE
223   PT00768 (factor)      1  33+   FALSE     FALSE         2 FALSE TRUE FALSE
224   PT00769 (factor)      1 150+   FALSE     FALSE         1 FALSE TRUE  TRUE
225   PT00773 (factor)      4  72+    TRUE      TRUE         2  TRUE TRUE  TRUE
226   PT00776 (factor)      1 103+   FALSE     FALSE         2 FALSE TRUE FALSE
227   PT00777 (factor)      1 130+   FALSE     FALSE         1 FALSE TRUE FALSE
228   PT00778 (factor)      1  27+   FALSE     FALSE         2 FALSE TRUE FALSE
229   PT00783 (factor)      1 121+   FALSE     FALSE         1 FALSE TRUE FALSE
230   PT00785 (factor)      1 148+   FALSE     FALSE         1 FALSE TRUE  TRUE
231   PT00788 (factor)      1 141+    TRUE      TRUE         3 FALSE TRUE FALSE
232   PT00789 (factor)      1 128+   FALSE     FALSE         1 FALSE TRUE FALSE
233   PT00791 (factor)      1   88    TRUE     FALSE         2  TRUE TRUE FALSE
234   PT00793 (factor)      1 101+   FALSE     FALSE         1 FALSE TRUE FALSE
235   PT00795 (factor)      1 130+   FALSE      TRUE         1 FALSE TRUE  TRUE
236   PT00796 (factor)      2 108+   FALSE     FALSE         3 FALSE TRUE FALSE
237   PT00801 (factor)      1 145+    TRUE     FALSE         1 FALSE TRUE FALSE
238   PT00804 (factor)      2 139+   FALSE     FALSE         3  TRUE TRUE FALSE
239   PT00806 (factor)      1 153+   FALSE     FALSE         2 FALSE TRUE FALSE
240   PT00807 (factor)      1  27+   FALSE      TRUE         3 FALSE TRUE  TRUE
241   PT00810 (factor)      1 139+   FALSE      TRUE         1 FALSE TRUE FALSE
242   PT00811 (factor)      1 135+    TRUE     FALSE         2 FALSE TRUE  TRUE
243   PT00827 (factor)      1  36+    TRUE     FALSE         1  TRUE TRUE  TRUE
244   PT00838 (factor)      2   19    TRUE      TRUE         2 FALSE TRUE  TRUE
245   PT00840 (factor)      2  33+   FALSE     FALSE         2 FALSE TRUE  TRUE
246   PT00841 (factor)      2   22   FALSE     FALSE         3 FALSE TRUE FALSE
247   PT00843 (factor)      2  86+   FALSE     FALSE         1 FALSE TRUE FALSE
248   PT00846 (factor)      1  172    TRUE     FALSE         1  TRUE TRUE FALSE
249   PT00847 (factor)      1 129+   FALSE     FALSE         1 FALSE TRUE FALSE
250   PT00852 (factor)      1  121   FALSE     FALSE         3 FALSE TRUE  TRUE
251   PT00854 (factor)      1  31+   FALSE     FALSE         2 FALSE TRUE  TRUE
252   PT00855 (factor)      2  37+   FALSE      TRUE         1 FALSE TRUE  TRUE
253   PT00859 (factor)      1  12+    TRUE     FALSE         1 FALSE TRUE FALSE
254   PT00860 (factor)      1 228+   FALSE      TRUE         2 FALSE TRUE FALSE
255   PT00866 (factor)      3   13   FALSE      TRUE         2 FALSE TRUE  TRUE
256   PT00867 (factor)      1 122+   FALSE     FALSE         3 FALSE TRUE FALSE
257   PT00872 (factor)      3   24   FALSE      TRUE         2 FALSE TRUE FALSE
258   PT00873 (factor)      2 172+    TRUE     FALSE         3 FALSE TRUE FALSE
259   PT00878 (factor)      3  104   FALSE     FALSE         2 FALSE TRUE FALSE
260   PT00883 (factor)      1  86+   FALSE     FALSE         1 FALSE TRUE  TRUE
261   PT00892 (factor)      1 117+   FALSE     FALSE         2 FALSE TRUE  TRUE
262   PT00896 (factor)      1  47+   FALSE     FALSE         1 FALSE TRUE  TRUE
263   PT00899 (factor)      2 100+    TRUE     FALSE         2    NA TRUE  TRUE
264   PT00901 (factor)      2   36   FALSE     FALSE         3 FALSE TRUE FALSE
265   PT00903 (factor)      4  33+   FALSE     FALSE         1 FALSE TRUE  TRUE
266   PT00905 (factor)      3   30   FALSE     FALSE         2  TRUE TRUE FALSE
267   PT00906 (factor)      1   43   FALSE     FALSE         3 FALSE TRUE FALSE
268   PT00907 (factor)      2  23+   FALSE      TRUE         1 FALSE TRUE  TRUE
269   PT00908 (factor)      2   83   FALSE     FALSE         3 FALSE TRUE  TRUE
270   PT00910 (factor)      2   15   FALSE      TRUE         1  TRUE TRUE  TRUE
271   PT00912 (factor)      2  32+   FALSE      TRUE         2  TRUE TRUE  TRUE
272   PT00921 (factor)      1 114+   FALSE     FALSE         1 FALSE TRUE FALSE
273   PT00922 (factor)      4   49   FALSE      TRUE         2  TRUE TRUE  TRUE
274   PT00932 (factor)      1   13   FALSE     FALSE         2 FALSE TRUE FALSE
275   PT00933 (factor)      2 129+   FALSE      TRUE         2 FALSE TRUE  TRUE
276   PT00934 (factor)      1 144+    TRUE     FALSE         1 FALSE TRUE FALSE
277   PT00935 (factor)      2  80+   FALSE     FALSE         2 FALSE TRUE FALSE
278   PT00937 (factor)      1 179+    TRUE      TRUE         1 FALSE TRUE  TRUE
279   PT00939 (factor)      1 183+    TRUE     FALSE         1 FALSE TRUE FALSE
280   PT00944 (factor)      1 171+    TRUE     FALSE         2 FALSE TRUE FALSE
281   PT00949 (factor)      2   21    TRUE      TRUE         3  TRUE TRUE  TRUE
282   PT00950 (factor)      1 132+   FALSE     FALSE         1 FALSE TRUE FALSE
283   PT00952 (factor)      2 109+    TRUE      TRUE         2  TRUE TRUE  TRUE
284   PT00953 (factor)      2   11   FALSE      TRUE         2 FALSE TRUE  TRUE
285   PT00956 (factor)      1 172+   FALSE      TRUE         2 FALSE TRUE FALSE
286   PT00963 (factor)      1 172+    TRUE      TRUE         2 FALSE TRUE FALSE
287   PT00964 (factor)      1 110+   FALSE     FALSE         2 FALSE TRUE FALSE
288   PT00965 (factor)      1  93+   FALSE     FALSE         2 FALSE TRUE FALSE
289   PT00970 (factor)      1   33    TRUE     FALSE         2 FALSE TRUE FALSE
290   PT00974 (factor)      1 124+   FALSE     FALSE         3 FALSE TRUE FALSE
291   PT00975 (factor)      2 124+   FALSE     FALSE         2  TRUE TRUE FALSE
292   PT00976 (factor)      2  22+    TRUE     FALSE         3 FALSE TRUE  TRUE
293   PT00983 (factor)      2  68+   FALSE      TRUE         3 FALSE TRUE  TRUE
294   PT00990 (factor)      1 175+   FALSE     FALSE         1 FALSE TRUE FALSE
295   PT00998 (factor)      1  82+   FALSE     FALSE         3 FALSE TRUE FALSE
296   PT01000 (factor)      1 132+   FALSE      TRUE         1  TRUE TRUE FALSE
297   PT01002 (factor)      1 160+   FALSE     FALSE         3 FALSE TRUE FALSE
298   PT01006 (factor)      1 206+   FALSE     FALSE        NA  TRUE TRUE FALSE
299   PT01015 (factor)      2   18   FALSE      TRUE         3  TRUE TRUE FALSE
300   PT01018 (factor)      3   11    TRUE     FALSE         2 FALSE TRUE FALSE
301   PT01023 (factor)      2   10    TRUE      TRUE         3  TRUE TRUE  TRUE
302   PT01031 (factor)      1 145+    TRUE     FALSE         1 FALSE TRUE FALSE
303   PT01032 (factor)      1  97+   FALSE     FALSE         1 FALSE TRUE FALSE
304   PT01037 (factor)      1  71+    TRUE     FALSE         1 FALSE TRUE  TRUE
305   PT01038 (factor)      1 146+   FALSE     FALSE         1 FALSE TRUE FALSE
306   PT01042 (factor)      2 122+    TRUE     FALSE         2  TRUE TRUE  TRUE
307   PT01045 (factor)      2  55+   FALSE     FALSE         2 FALSE TRUE FALSE
308   PT01046 (factor)      1  56+   FALSE     FALSE         1 FALSE TRUE FALSE
309   PT01051 (factor)      1 118+    TRUE      TRUE         2 FALSE TRUE  TRUE
310   PT01052 (factor)      1 158+    TRUE     FALSE         2 FALSE TRUE FALSE
311   PT01062 (factor)      1   56   FALSE      TRUE         2    NA TRUE  TRUE
312   PT01064 (factor)      1 101+   FALSE      TRUE         3 FALSE TRUE FALSE
313   PT01067 (factor)      3  21+   FALSE      TRUE         3 FALSE TRUE FALSE
314   PT01072 (factor)      2    5   FALSE     FALSE         3 FALSE TRUE  TRUE
315   PT01073 (factor)      1  98+   FALSE     FALSE         1 FALSE TRUE FALSE
316   PT01074 (factor)      1 189+    TRUE     FALSE         3  TRUE TRUE  TRUE
317   PT01077 (factor)      1 175+    TRUE     FALSE         1 FALSE TRUE FALSE
318   PT01079 (factor)      1 122+    TRUE     FALSE         1 FALSE TRUE FALSE
319   PT01081 (factor)      1  136   FALSE     FALSE         1 FALSE TRUE  TRUE
320   PT01082 (factor)      4  23+   FALSE      TRUE         3 FALSE TRUE  TRUE
321   PT01090 (factor)      3 195+    TRUE     FALSE         3 FALSE TRUE FALSE
322   PT01095 (factor)      2  95+   FALSE      TRUE         2 FALSE TRUE  TRUE
323   PT01099 (factor)      2   39    TRUE     FALSE         2 FALSE TRUE FALSE
324   PT01102 (factor)      2 238+   FALSE      TRUE         2  TRUE TRUE FALSE
325   PT01104 (factor)      1 177+   FALSE     FALSE         2 FALSE TRUE FALSE
326   PT01108 (factor)      1  96+    TRUE      TRUE         2 FALSE TRUE FALSE
327   PT01112 (factor)      1    9   FALSE      TRUE         3 FALSE TRUE  TRUE
328   PT01122 (factor)      1   83   FALSE     FALSE         3 FALSE TRUE FALSE
329   PT01123 (factor)      1  82+   FALSE     FALSE         3 FALSE TRUE FALSE
330   PT01127 (factor)      4   45   FALSE      TRUE         2 FALSE TRUE FALSE
331   PT01128 (factor)      1  29+   FALSE     FALSE         1 FALSE TRUE FALSE
332   PT01129 (factor)      1 148+    TRUE     FALSE         3 FALSE TRUE  TRUE
333   PT01131 (factor)      4   34   FALSE      TRUE         3 FALSE TRUE FALSE
334   PT01134 (factor)      4   44   FALSE     FALSE         3    NA TRUE  TRUE
335   PT01136 (factor)      1 137+    TRUE     FALSE         2 FALSE TRUE  TRUE
336   PT01138 (factor)      2   12    TRUE     FALSE         2 FALSE TRUE  TRUE
337   PT01140 (factor)      3 151+   FALSE      TRUE         1 FALSE TRUE  TRUE
338   PT01141 (factor)      2  34+    TRUE     FALSE         2    NA TRUE  TRUE
339   PT01146 (factor)      1 206+   FALSE     FALSE         1 FALSE TRUE FALSE
340   PT01148 (factor)      1   36    TRUE     FALSE         2 FALSE TRUE FALSE
341   PT01150 (factor)      4 105+    TRUE     FALSE         1 FALSE TRUE  TRUE
342   PT01152 (factor)      1  71+   FALSE     FALSE         2 FALSE TRUE FALSE
343   PT01153 (factor)      1  49+    TRUE     FALSE         1 FALSE TRUE FALSE
344   PT01157 (factor)      1 205+    TRUE     FALSE         1 FALSE TRUE FALSE
345   PT01162 (factor)      1  55+   FALSE     FALSE         2 FALSE TRUE  TRUE
346   PT01164 (factor)      2    7   FALSE     FALSE         3 FALSE TRUE  TRUE
347   PT01165 (factor)      1  38+   FALSE     FALSE        NA FALSE TRUE FALSE
348   PT01168 (factor)      1 235+    TRUE     FALSE         1 FALSE TRUE FALSE
349   PT01169 (factor)      3  12+   FALSE      TRUE         3  TRUE TRUE  TRUE
350   PT01175 (factor)      1 191+    TRUE     FALSE         2 FALSE TRUE  TRUE
351   PT01176 (factor)      3 187+   FALSE      TRUE         2 FALSE TRUE FALSE
352   PT01182 (factor)      2  38+    TRUE     FALSE         1 FALSE TRUE FALSE
353   PT01183 (factor)      1   47   FALSE     FALSE         2 FALSE TRUE FALSE
354   PT01187 (factor)      1 194+    TRUE     FALSE         1 FALSE TRUE FALSE
355   PT01188 (factor)      2   3+   FALSE     FALSE         1 FALSE TRUE FALSE
356   PT01189 (factor)      1 145+    TRUE     FALSE         1 FALSE TRUE FALSE
357   PT01190 (factor)      1  95+   FALSE     FALSE         3 FALSE TRUE FALSE
358   PT01195 (factor)      1  29+   FALSE     FALSE         2 FALSE TRUE FALSE
359   PT01198 (factor)      1 154+    TRUE     FALSE         1 FALSE TRUE FALSE
360   PT01200 (factor)      4    4    TRUE      TRUE         3 FALSE TRUE  TRUE
361   PT01201 (factor)      3  25+   FALSE     FALSE         3 FALSE TRUE  TRUE
362   PT01203 (factor)      1   37   FALSE     FALSE         1 FALSE TRUE FALSE
363   PT01204 (factor)      1 198+   FALSE     FALSE         2 FALSE TRUE FALSE
364   PT01209 (factor)      2  45+    TRUE     FALSE         2 FALSE TRUE FALSE
365   PT01213 (factor)      1 214+    TRUE      TRUE         2  TRUE TRUE FALSE
366   PT01214 (factor)      1 179+    TRUE     FALSE         2 FALSE TRUE FALSE
367   PT01216 (factor)      1 118+    TRUE     FALSE         1 FALSE TRUE FALSE
368   PT01218 (factor)      2   18   FALSE     FALSE         2 FALSE TRUE  TRUE
369   PT01220 (factor)      1 165+   FALSE     FALSE         1 FALSE TRUE FALSE
370   PT01221 (factor)      2  131    TRUE     FALSE         2 FALSE TRUE  TRUE
371   PT01225 (factor)      1 133+   FALSE     FALSE         2 FALSE TRUE FALSE
372   PT01229 (factor)      2 158+    TRUE     FALSE         1 FALSE TRUE FALSE
373   PT01230 (factor)      1   13   FALSE     FALSE         3 FALSE TRUE FALSE
374   PT01233 (factor)      4   11   FALSE     FALSE         3    NA TRUE  TRUE
375   PT01236 (factor)      1 157+   FALSE     FALSE         1 FALSE TRUE  TRUE
376   PT01237 (factor)      1 120+    TRUE     FALSE         1 FALSE TRUE FALSE
377   PT01239 (factor)      2 135+   FALSE      TRUE         1 FALSE TRUE  TRUE
378   PT01241 (factor)      2 108+   FALSE     FALSE         1    NA TRUE FALSE
379   PT01242 (factor)      2  83+    TRUE      TRUE         2 FALSE TRUE  TRUE
380   PT01243 (factor)      4  67+   FALSE     FALSE         1    NA TRUE  TRUE
381   PT01246 (factor)      1 110+    TRUE     FALSE        NA FALSE TRUE FALSE
382   PT01250 (factor)      3  75+   FALSE     FALSE         3  TRUE TRUE FALSE
383   PT01252 (factor)      1 145+   FALSE     FALSE         2 FALSE TRUE  TRUE
384   PT01253 (factor)      2   35    TRUE      TRUE         3    NA TRUE  TRUE
385   PT01254 (factor)      1 236+   FALSE     FALSE         1 FALSE TRUE FALSE
386   PT01257 (factor)      1 146+   FALSE     FALSE         1    NA TRUE FALSE
387   PT01258 (factor)      1 111+    TRUE     FALSE         1 FALSE TRUE FALSE
388   PT01262 (factor)      3   34   FALSE     FALSE         2 FALSE TRUE  TRUE
389   PT01263 (factor)      1 135+   FALSE     FALSE         3 FALSE TRUE FALSE
390   PT01264 (factor)      3  70+   FALSE     FALSE         3 FALSE TRUE  TRUE
391   PT01265 (factor)      1 115+   FALSE     FALSE         1 FALSE TRUE FALSE
392   PT01270 (factor)      2  59+      NA        NA         1 FALSE TRUE FALSE
393   PT01272 (factor)      1 225+      NA        NA         1 FALSE TRUE FALSE
394   PT01273 (factor)      1  60+   FALSE     FALSE         2 FALSE TRUE FALSE
395   PT01277 (factor)      1  12+   FALSE     FALSE         1 FALSE TRUE FALSE
396   PT01278 (factor)      1  95+    TRUE     FALSE         1 FALSE TRUE FALSE
397   PT01279 (factor)      2 114+   FALSE     FALSE         1 FALSE TRUE FALSE
398   PT01280 (factor)      1   29    TRUE     FALSE         1 FALSE TRUE FALSE
399   PT01281 (factor)      1 129+      NA        NA         1 FALSE TRUE FALSE
400   PT01282 (factor)      1  51+    TRUE      TRUE         3  TRUE TRUE FALSE
401   PT01283 (factor)      1 153+   FALSE     FALSE         1 FALSE TRUE FALSE
402   PT01284 (factor)      1 174+    TRUE      TRUE         2 FALSE TRUE  TRUE
403   PT01286 (factor)      1  58+    TRUE      TRUE         3  TRUE TRUE  TRUE
404   PT01287 (factor)      1  97+   FALSE     FALSE         2 FALSE TRUE FALSE
405   PT01288 (factor)      1 231+      NA        NA         1 FALSE TRUE FALSE
406   PT01289 (factor)      3   45   FALSE     FALSE         2    NA TRUE  TRUE
407   PT01295 (factor)      2  15+   FALSE     FALSE         2 FALSE TRUE  TRUE
408   PT01296 (factor)      1 130+      NA        NA         1 FALSE TRUE FALSE
409   PT01297 (factor)      2   73   FALSE     FALSE         3 FALSE TRUE FALSE
410   PT01298 (factor)      1 189+    TRUE     FALSE         3 FALSE TRUE FALSE
411   PT01301 (factor)      1  57+   FALSE     FALSE         3 FALSE TRUE FALSE
412   PT01302 (factor)      1 231+   FALSE      TRUE         1 FALSE TRUE  TRUE
413   PT01309 (factor)      1 221+    TRUE     FALSE         2 FALSE TRUE FALSE
414   PT01311 (factor)      1  30+    TRUE     FALSE         3 FALSE TRUE FALSE
415   PT01315 (factor)      1 230+    TRUE     FALSE         1 FALSE TRUE FALSE
416   PT01316 (factor)      1  86+   FALSE     FALSE         1 FALSE TRUE FALSE
417   PT01317 (factor)      1 105+    TRUE     FALSE         2 FALSE TRUE FALSE
418   PT01321 (factor)      1 171+    TRUE     FALSE         2 FALSE TRUE FALSE
419   PT01322 (factor)      2   15    TRUE     FALSE         2  TRUE TRUE  TRUE
420   PT01327 (factor)      1 230+   FALSE     FALSE         1 FALSE TRUE FALSE
421   PT01328 (factor)      2 230+    TRUE     FALSE         2 FALSE TRUE  TRUE
422   PT01331 (factor)      2  56+   FALSE     FALSE         1 FALSE TRUE  TRUE
423   PT01334 (factor)      1 205+   FALSE     FALSE         1    NA TRUE FALSE
424   PT01336 (factor)      1 160+   FALSE     FALSE         1 FALSE TRUE FALSE
425   PT01337 (factor)      2   83      NA        NA         2 FALSE TRUE FALSE
426   PT01338 (factor)      1 233+      NA        NA         3  TRUE TRUE FALSE
427   PT01339 (factor)      1 203+   FALSE     FALSE         3 FALSE TRUE FALSE
428   PT01344 (factor)      1  28+    TRUE     FALSE         2 FALSE TRUE FALSE
429   PT01345 (factor)      1 231+      NA        NA         3 FALSE TRUE FALSE
430   PT01346 (factor)      1 181+      NA        NA         1    NA TRUE  TRUE
431   PT01353 (factor)      1   67    TRUE     FALSE         2 FALSE TRUE FALSE
432   PT01355 (factor)      1  72+   FALSE     FALSE         1 FALSE TRUE FALSE
433   PT01357 (factor)      2  13+   FALSE     FALSE         2 FALSE TRUE  TRUE
434   PT01358 (factor)      2   22    TRUE      TRUE         3 FALSE TRUE  TRUE
435   PT01363 (factor)      2  54+    TRUE      TRUE         3 FALSE TRUE  TRUE
436   PT01364 (factor)      1 148+   FALSE     FALSE         2 FALSE TRUE FALSE
437   PT01367 (factor)      1  94+   FALSE      TRUE         2 FALSE TRUE  TRUE
438   PT01369 (factor)      1  131   FALSE     FALSE         3  TRUE TRUE  TRUE
439   PT01371 (factor)      1 233+    TRUE     FALSE         1 FALSE TRUE FALSE
440   PT01373 (factor)      2 137+    TRUE     FALSE         2 FALSE TRUE FALSE
441   PT01384 (factor)      1  224   FALSE     FALSE         1 FALSE TRUE FALSE
442   PT01387 (factor)      1  74+   FALSE     FALSE         1 FALSE TRUE FALSE
443   PT01391 (factor)      4  73+    TRUE     FALSE         2 FALSE TRUE FALSE
444   PT01398 (factor)      2  23+      NA        NA         3 FALSE TRUE  TRUE
445   PT01400 (factor)      1 202+    TRUE     FALSE         2    NA TRUE FALSE
446   PT01409 (factor)      2   35    TRUE     FALSE         2 FALSE TRUE  TRUE
447   PT01413 (factor)      1 211+   FALSE     FALSE         2 FALSE TRUE FALSE
448   PT01414 (factor)      1 131+    TRUE      TRUE         3 FALSE TRUE FALSE
449   PT01420 (factor)      2 103+   FALSE      TRUE         2 FALSE TRUE  TRUE
450   PT01421 (factor)      1  53+    TRUE     FALSE         1    NA TRUE FALSE
451   PT01423 (factor)      2  145   FALSE     FALSE         1 FALSE TRUE FALSE
452   PT01425 (factor)      4  32+    TRUE      TRUE         3 FALSE TRUE  TRUE
453   PT01426 (factor)      2  58+   FALSE     FALSE         3 FALSE TRUE FALSE
454   PT01430 (factor)      1 141+   FALSE     FALSE         2 FALSE TRUE FALSE
455   PT01431 (factor)      1  94+   FALSE     FALSE         2 FALSE TRUE FALSE
456   PT01433 (factor)      1 228+    TRUE     FALSE         1 FALSE TRUE FALSE
457   PT01434 (factor)      1 140+    TRUE     FALSE         2    NA TRUE FALSE
458   PT01444 (factor)      1  95+   FALSE     FALSE         3 FALSE TRUE FALSE
459   PT01445 (factor)      2  129   FALSE     FALSE         2 FALSE TRUE  TRUE
460   PT01447 (factor)      1 210+    TRUE     FALSE         1 FALSE TRUE FALSE
461   PT01449 (factor)      1 147+   FALSE     FALSE         3 FALSE TRUE  TRUE
462   PT01455 (factor)      1 205+    TRUE     FALSE         1 FALSE TRUE FALSE
463   PT01456 (factor)      1 211+    TRUE     FALSE         1  TRUE TRUE FALSE
464   PT01460 (factor)      1  70+   FALSE     FALSE         1  TRUE TRUE FALSE
465   PT01462 (factor)      4  73+    TRUE      TRUE         1 FALSE TRUE  TRUE
466   PT01463 (factor)      1 122+   FALSE     FALSE         1 FALSE TRUE FALSE
467   PT01465 (factor)      2 194+    TRUE     FALSE         3 FALSE TRUE FALSE
468   PT01466 (factor)      1 227+   FALSE     FALSE         1 FALSE TRUE FALSE
469   PT01468 (factor)      1 226+    TRUE     FALSE         2 FALSE TRUE FALSE
470   PT01471 (factor)      2  145    TRUE      TRUE         3 FALSE TRUE  TRUE
471   PT01473 (factor)      2 144+      NA        NA         1    NA TRUE  TRUE
472   PT01474 (factor)      1 109+   FALSE     FALSE         1 FALSE TRUE FALSE
473   PT01475 (factor)      1 141+   FALSE     FALSE         2 FALSE TRUE  TRUE
474   PT01476 (factor)      1 213+    TRUE     FALSE         2 FALSE TRUE FALSE
475   PT01477 (factor)      1  68+   FALSE     FALSE         3    NA TRUE  TRUE
476   PT01478 (factor)      1 154+   FALSE     FALSE         2 FALSE TRUE FALSE
477   PT01481 (factor)      1 184+   FALSE     FALSE         1 FALSE TRUE FALSE
478   PT01483 (factor)      1 218+    TRUE     FALSE         2 FALSE TRUE FALSE
479   PT01489 (factor)      1 226+    TRUE      TRUE         2 FALSE TRUE  TRUE
480   PT01490 (factor)      2 121+   FALSE     FALSE         3 FALSE TRUE  TRUE
481   PT01491 (factor)      1 139+   FALSE     FALSE         2 FALSE TRUE FALSE
482   PT01492 (factor)      1 140+   FALSE     FALSE         2 FALSE TRUE FALSE
483   PT01494 (factor)      1 147+   FALSE     FALSE         1 FALSE TRUE FALSE
484   PT01496 (factor)      1 215+   FALSE     FALSE         1    NA TRUE  TRUE
485   PT01498 (factor)      3   27    TRUE      TRUE         2 FALSE TRUE  TRUE
486   PT01499 (factor)      1 118+    TRUE     FALSE         3 FALSE TRUE FALSE
487   PT01503 (factor)      2  25+    TRUE     FALSE         2 FALSE TRUE  TRUE
488   PT01505 (factor)      4   27   FALSE      TRUE         1 FALSE TRUE  TRUE
489   PT01506 (factor)      2 213+   FALSE     FALSE         2 FALSE TRUE FALSE
490   PT01507 (factor)      2 226+   FALSE      TRUE         3 FALSE TRUE  TRUE
491   PT01513 (factor)      1  116    TRUE      TRUE         3 FALSE TRUE  TRUE
492   PT01514 (factor)      2 137+   FALSE     FALSE         1 FALSE TRUE FALSE
493   PT01516 (factor)      2  62+   FALSE     FALSE         1  TRUE TRUE FALSE
494   PT01517 (factor)      1   30   FALSE     FALSE         1 FALSE TRUE FALSE
495   PT01519 (factor)      1   27   FALSE      TRUE         2 FALSE TRUE FALSE
496   PT01520 (factor)      1  39+    TRUE     FALSE         1  TRUE TRUE FALSE
497   PT01521 (factor)      2    8   FALSE      TRUE         2 FALSE TRUE  TRUE
498   PT01523 (factor)      1  67+   FALSE     FALSE         2 FALSE TRUE  TRUE
499   PT01524 (factor)      2 163+   FALSE     FALSE         1 FALSE TRUE FALSE
500   PT01525 (factor)      1 187+      NA        NA         2  TRUE TRUE FALSE
501   PT01529 (factor)      1 115+   FALSE     FALSE         3  TRUE TRUE FALSE
502   PT01530 (factor)      1  160    TRUE     FALSE         2 FALSE TRUE FALSE
503   PT01531 (factor)      1 109+   FALSE     FALSE         2 FALSE TRUE FALSE
504   PT01532 (factor)      4 102+   FALSE     FALSE         3  TRUE TRUE  TRUE
505   PT01545 (factor)      2 126+   FALSE      TRUE         2 FALSE TRUE FALSE
506   PT01547 (factor)      1 131+   FALSE     FALSE         1    NA TRUE FALSE
507   PT01554 (factor)      1 227+   FALSE     FALSE         2 FALSE TRUE FALSE
508   PT01555 (factor)      1  70+   FALSE      TRUE         2 FALSE TRUE  TRUE
509   PT01559 (factor)      2 217+    TRUE      TRUE         2 FALSE TRUE FALSE
510   PT01561 (factor)      2   12    TRUE      TRUE         3 FALSE TRUE FALSE
511   PT01563 (factor)      1  98+   FALSE     FALSE         2 FALSE TRUE  TRUE
512   PT01569 (factor)      2 142+   FALSE     FALSE         2  TRUE TRUE FALSE
513   PT01570 (factor)      2 163+   FALSE      TRUE         2 FALSE TRUE  TRUE
514   PT01571 (factor)      1 155+    TRUE     FALSE         3 FALSE TRUE  TRUE
515   PT01572 (factor)      1 106+   FALSE     FALSE         1 FALSE TRUE FALSE
516   PT01573 (factor)      2 168+   FALSE      TRUE         2 FALSE TRUE  TRUE
517   PT01578 (factor)      1 167+   FALSE     FALSE         2 FALSE TRUE FALSE
518   PT01582 (factor)      1 167+    TRUE     FALSE         3 FALSE TRUE FALSE
519   PT01583 (factor)      1 123+   FALSE     FALSE         2 FALSE TRUE FALSE
520   PT01587 (factor)      2  97+    TRUE     FALSE         2 FALSE TRUE FALSE
521   PT01590 (factor)      1 168+    TRUE     FALSE         2 FALSE TRUE FALSE
522   PT01592 (factor)      1 129+   FALSE      TRUE         2 FALSE TRUE  TRUE
523   PT01593 (factor)      2  20+   FALSE     FALSE         3 FALSE TRUE FALSE
524   PT01595 (factor)      1  35+   FALSE     FALSE         3 FALSE TRUE FALSE
525   PT01596 (factor)      1 168+    TRUE     FALSE         3 FALSE TRUE FALSE
526   PT01597 (factor)      1 172+   FALSE      TRUE         2 FALSE TRUE  TRUE
527   PT01598 (factor)      1 133+    TRUE     FALSE         2 FALSE TRUE FALSE
528   PT01600 (factor)      2  98+   FALSE     FALSE         1 FALSE TRUE FALSE
529   PT01701 (factor)      2 142+   FALSE     FALSE         2 FALSE TRUE  TRUE
530   PT01702 (factor)      1   2+   FALSE     FALSE         1  TRUE TRUE FALSE
531   PT01717 (factor)      2 212+    TRUE     FALSE         2    NA TRUE  TRUE
532   PT01719 (factor)      4   32   FALSE      TRUE         2 FALSE TRUE  TRUE
533   PT01724 (factor)      2  23+   FALSE     FALSE         3 FALSE TRUE  TRUE
534   PT01726 (factor)      2  22+   FALSE     FALSE         2 FALSE TRUE FALSE
535   PT01727 (factor)      2 155+   FALSE     FALSE         2 FALSE TRUE FALSE
536   PT01732 (factor)      1  87+    TRUE     FALSE         1 FALSE TRUE FALSE
537   PT01733 (factor)      1   19    TRUE      TRUE         3 FALSE TRUE  TRUE
538   PT01734 (factor)      1   56   FALSE     FALSE         3 FALSE TRUE FALSE
539   PT01736 (factor)      2 155+   FALSE     FALSE         1 FALSE TRUE FALSE
540   PT01738 (factor)      1 149+   FALSE     FALSE         1 FALSE TRUE FALSE
541   PT01740 (factor)      1   15    TRUE     FALSE         1 FALSE TRUE  TRUE
542   PT01744 (factor)      2  94+   FALSE     FALSE         1 FALSE TRUE FALSE
543   PT01749 (factor)      1 133+   FALSE     FALSE         3 FALSE TRUE FALSE
544   PT02323 (factor)      1  75+   FALSE     FALSE         1 FALSE TRUE FALSE
545   PT02329 (factor)      3  40+   FALSE      TRUE         2 FALSE TRUE  TRUE
546   PT02339 (factor)      1 172+   FALSE     FALSE         2 FALSE TRUE  TRUE
547   PT02340 (factor)      1 172+   FALSE     FALSE         3  TRUE TRUE  TRUE
548   PT02355 (factor)      1   48    TRUE     FALSE         2 FALSE TRUE FALSE
549   PT02365 (factor)      1 221+   FALSE     FALSE         1 FALSE TRUE FALSE
550   PT02380 (factor)      1   10   FALSE     FALSE         3 FALSE TRUE FALSE
551   PT02382 (factor)      1 134+   FALSE     FALSE         1 FALSE TRUE FALSE
552   PT02384 (factor)      1 135+    TRUE     FALSE         2    NA TRUE FALSE
553   PT02385 (factor)      1  26+    TRUE     FALSE         1 FALSE TRUE FALSE
554   PT02387 (factor)      1   63    TRUE     FALSE         1 FALSE TRUE FALSE
555   PT02400 (factor)      2   98    TRUE     FALSE         2 FALSE TRUE  TRUE
556   PT02401 (factor)      1 192+    TRUE     FALSE         1 FALSE TRUE FALSE
557   PT02402 (factor)      2 123+    TRUE     FALSE         3  TRUE TRUE FALSE
558   PT02403 (factor)      4  27+   FALSE     FALSE         3 FALSE TRUE  TRUE
559   PT02404 (factor)      1 125+   FALSE     FALSE         2 FALSE TRUE FALSE
560   PT02405 (factor)      1   26   FALSE     FALSE         2  TRUE TRUE FALSE
561   PT02408 (factor)      1  17+    TRUE      TRUE         3 FALSE TRUE  TRUE
562   PT02416 (factor)      3  25+   FALSE     FALSE         3 FALSE TRUE  TRUE
563   PT02421 (factor)      1 129+   FALSE      TRUE         1 FALSE TRUE  TRUE
564   PT02422 (factor)      1  90+   FALSE     FALSE         2  TRUE TRUE FALSE
565   PT02431 (factor)      1 129+    TRUE     FALSE         1 FALSE TRUE FALSE
566   PT02432 (factor)      1 173+    TRUE     FALSE         1 FALSE TRUE FALSE
567   PT02435 (factor)      1  36+   FALSE     FALSE         1 FALSE TRUE  TRUE
568   PT02438 (factor)      2 179+   FALSE     FALSE         1 FALSE TRUE  TRUE
569   PT02444 (factor)      1 116+   FALSE      TRUE         3 FALSE TRUE FALSE
570   PT02445 (factor)      2  18+    TRUE     FALSE         3 FALSE TRUE FALSE
571   PT02446 (factor)      1 187+    TRUE      TRUE         3  TRUE TRUE FALSE
572   PT02447 (factor)      2 174+   FALSE      TRUE         2 FALSE TRUE FALSE
573   PT02450 (factor)      1  58+    TRUE     FALSE         2  TRUE TRUE FALSE
574   PT02453 (factor)      1 195+    TRUE     FALSE         2 FALSE TRUE FALSE
575   PT02457 (factor)      1 180+    TRUE      TRUE         2 FALSE TRUE  TRUE
576   PT02461 (factor)      1 157+   FALSE     FALSE         1 FALSE TRUE FALSE
577   PT02464 (factor)      1 175+   FALSE     FALSE         3 FALSE TRUE  TRUE
578   PT02467 (factor)      2 170+    TRUE      TRUE         2 FALSE TRUE  TRUE
579   PT02475 (factor)      2 129+   FALSE     FALSE         2 FALSE TRUE  TRUE
580   PT02478 (factor)      1 127+    TRUE      TRUE         2 FALSE TRUE FALSE
581   PT02484 (factor)      1  87+    TRUE     FALSE         1 FALSE TRUE FALSE
582   PT02489 (factor)      1 165+    TRUE     FALSE         2 FALSE TRUE FALSE
583   PT02490 (factor)      1  92+   FALSE     FALSE         1 FALSE TRUE FALSE
584   PT02492 (factor)      4 102+   FALSE      TRUE         2 FALSE TRUE FALSE
585   PT02494 (factor)      2 109+   FALSE      TRUE         1 FALSE TRUE FALSE
586   PT02673 (factor)      1 189+      NA        NA         2 FALSE TRUE FALSE
587   PT02676 (factor)      1 101+      NA        NA         2 FALSE TRUE  TRUE
588   PT02678 (factor)      1 197+      NA        NA         2 FALSE TRUE  TRUE
589   PT02683 (factor)      1  59+      NA        NA         2 FALSE TRUE FALSE
590   PT02684 (factor)      1  15+      NA        NA         2 FALSE TRUE FALSE
591   PT02776 (factor)      2   39   FALSE      TRUE         2 FALSE TRUE  TRUE
592   PT02779 (factor)      1 163+   FALSE      TRUE         2 FALSE TRUE FALSE
593   PT02781 (factor)      1 170+    TRUE      TRUE         2 FALSE TRUE  TRUE
594   PT02783 (factor)      1 117+    TRUE      TRUE         2 FALSE TRUE FALSE
595   PT02786 (factor)      2 137+   FALSE      TRUE         3 FALSE TRUE  TRUE
596   PT02788 (factor)      1 112+   FALSE     FALSE         1 FALSE TRUE FALSE
597   PT02789 (factor)      1  42+   FALSE     FALSE         1 FALSE TRUE FALSE
598   PT02791 (factor)      2 181+   FALSE     FALSE         2 FALSE TRUE FALSE
599   PT02792 (factor)      1 143+   FALSE     FALSE         1 FALSE TRUE FALSE
600   PT02793 (factor)      1 154+    TRUE     FALSE         2 FALSE TRUE FALSE
601   PT02800 (factor)      1  22+   FALSE     FALSE         1 FALSE TRUE FALSE
602   PT02801 (factor)      2 163+    TRUE      TRUE         1 FALSE TRUE  TRUE
603   PT02802 (factor)      1 142+    TRUE     FALSE         3 FALSE TRUE FALSE
604   PT02804 (factor)      1 152+    TRUE     FALSE         1 FALSE TRUE FALSE
605   PT02805 (factor)      1 156+   FALSE     FALSE         3 FALSE TRUE FALSE
606   PT02807 (factor)      1 161+   FALSE      TRUE         2 FALSE TRUE FALSE
607   PT02810 (factor)      3  75+   FALSE      TRUE         2 FALSE TRUE  TRUE
608   PT02812 (factor)      1 104+   FALSE     FALSE         2 FALSE TRUE FALSE
609   PT02813 (factor)      1 121+   FALSE     FALSE         1 FALSE TRUE FALSE
610   PT02814 (factor)      1 163+    TRUE     FALSE         1 FALSE TRUE FALSE
611   PT02816 (factor)      2  46+   FALSE     FALSE         1 FALSE TRUE  TRUE
612   PT02818 (factor)      2  86+   FALSE     FALSE         3  TRUE TRUE  TRUE
613   PT02822 (factor)      2 106+    TRUE     FALSE         2 FALSE TRUE FALSE
614   PT02823 (factor)      4 109+   FALSE     FALSE         1 FALSE TRUE  TRUE
615   PT02825 (factor)      1 161+   FALSE     FALSE         2 FALSE TRUE FALSE
616   PT02826 (factor)      2 157+   FALSE     FALSE         1 FALSE TRUE FALSE
617   PT02828 (factor)      1 159+    TRUE     FALSE         1 FALSE TRUE FALSE
618   PT02829 (factor)      1  67+   FALSE     FALSE         1 FALSE TRUE FALSE
619   PT02830 (factor)      1 140+    TRUE     FALSE         1 FALSE TRUE FALSE
620   PT02849 (factor)      1  64+   FALSE     FALSE         1 FALSE TRUE FALSE
621   PT02850 (factor)      2  59+    TRUE     FALSE         3 FALSE TRUE  TRUE
622   PT02852 (factor)      2  40+    TRUE      TRUE         3 FALSE TRUE  TRUE
                                         race age   logKi67  logKi67q
1                                       White  66 (anylist) (numeric)
2                                       Black  42 (anylist) (numeric)
3                                       White  60 (anylist) (numeric)
4                                       White  53 (anylist) (numeric)
5                                       White  52 (anylist) (numeric)
6                                       Black  51 (anylist) (numeric)
7                                       Asian  50 (anylist) (numeric)
8                                       White  37 (anylist) (numeric)
9                                       White  68 (anylist) (numeric)
10                                      Black  55 (anylist) (numeric)
11                                      White  72 (anylist) (numeric)
12                                      White  43 (anylist) (numeric)
13                                      White  36 (anylist) (numeric)
14                                      White  37 (anylist) (numeric)
15                                      White  69 (anylist) (numeric)
16                                      White  63 (anylist) (numeric)
17                                      White  58 (anylist) (numeric)
18                                      White  60 (anylist) (numeric)
19                                      White  50 (anylist) (numeric)
20                                      White  70 (anylist) (numeric)
21                                      White  43 (anylist) (numeric)
22                                      White  48 (anylist) (numeric)
23                                    Unknown  68 (anylist) (numeric)
24                                      Asian  73 (anylist) (numeric)
25                                      White  51 (anylist) (numeric)
26                                      Black  51 (anylist) (numeric)
27                                      White  73 (anylist) (numeric)
28                                      White  80 (anylist) (numeric)
29                                      White  56 (anylist) (numeric)
30                                      White  77 (anylist) (numeric)
31                                      White  36 (anylist) (numeric)
32                                      White  48 (anylist) (numeric)
33                                      White  73 (anylist) (numeric)
34                                      White  56 (anylist) (numeric)
35                                      Black  60 (anylist) (numeric)
36                                      Black  76 (anylist) (numeric)
37                                      White  72 (anylist) (numeric)
38                                      White  63 (anylist) (numeric)
39                                      White  48 (anylist) (numeric)
40                                    Unknown  59 (anylist) (numeric)
41                                      White  58 (anylist) (numeric)
42                                      Black  71 (anylist) (numeric)
43                                      White  68 (anylist) (numeric)
44                                      White  36 (anylist) (numeric)
45                                      Black  42 (anylist) (numeric)
46                                      White  80 (anylist) (numeric)
47                                      White  60 (anylist) (numeric)
48                                      White  67 (anylist) (numeric)
49                                      Black  53 (anylist) (numeric)
50                                      White  78 (anylist) (numeric)
51                                      White  46 (anylist) (numeric)
52                                      White  85 (anylist) (numeric)
53                                      White  48 (anylist) (numeric)
54                                      White  55 (anylist) (numeric)
55                                      Black  45 (anylist) (numeric)
56                                      Black  47 (anylist) (numeric)
57                                      Black  80 (anylist) (numeric)
58                                      White  49 (anylist) (numeric)
59                                      White  55 (anylist) (numeric)
60                                      White  48 (anylist) (numeric)
61                                      White  46 (anylist) (numeric)
62                                      White  45 (anylist) (numeric)
63                                      White  63 (anylist) (numeric)
64                                      White  82 (anylist) (numeric)
65                                      White  64 (anylist) (numeric)
66                                      White  51 (anylist) (numeric)
67                                      White  63 (anylist) (numeric)
68                                      White  44 (anylist) (numeric)
69                                      White  39 (anylist) (numeric)
70                                      White  35 (anylist) (numeric)
71                                      White  63 (anylist) (numeric)
72                                      White  42 (anylist) (numeric)
73                                      White  67 (anylist) (numeric)
74                                      White  66 (anylist) (numeric)
75                                      White  78 (anylist) (numeric)
76                                      White  50 (anylist) (numeric)
77                                      White  64 (anylist) (numeric)
78                                      White  70 (anylist) (numeric)
79                                      White  65 (anylist) (numeric)
80                                      White  51 (anylist) (numeric)
81                                      White  69 (anylist) (numeric)
82                                      White  73 (anylist) (numeric)
83                                      White  58 (anylist) (numeric)
84                                      White  62 (anylist) (numeric)
85                                      White  67 (anylist) (numeric)
86                                      White  32 (anylist) (numeric)
87                                      White  61 (anylist) (numeric)
88                                      White  71 (anylist) (numeric)
89                                      White  68 (anylist) (numeric)
90                                      White  70 (anylist) (numeric)
91                                      White  37 (anylist) (numeric)
92                                      White  79 (anylist) (numeric)
93                                      White  65 (anylist) (numeric)
94                                      White  65 (anylist) (numeric)
95                                      White  45 (anylist) (numeric)
96                                      White  65 (anylist) (numeric)
97                                      White  66 (anylist) (numeric)
98                                      White  55 (anylist) (numeric)
99                                      White  70 (anylist) (numeric)
100                                     White  67 (anylist) (numeric)
101                                     White  50 (anylist) (numeric)
102                                     White  73 (anylist) (numeric)
103                                     Black  69 (anylist) (numeric)
104                                     White  70 (anylist) (numeric)
105                                     White  62 (anylist) (numeric)
106                                     White  62 (anylist) (numeric)
107                                     Asian  58 (anylist) (numeric)
108                                     White  71 (anylist) (numeric)
109                                     White  71 (anylist) (numeric)
110                                     White  61 (anylist) (numeric)
111                                     White  69 (anylist) (numeric)
112                                     White  55 (anylist) (numeric)
113                                     White  66 (anylist) (numeric)
114                                     White  59 (anylist) (numeric)
115                                     White  40 (anylist) (numeric)
116                                     Asian  37 (anylist) (numeric)
117                                     Asian  59 (anylist) (numeric)
118                                     White  43 (anylist) (numeric)
119                                     Black  78 (anylist) (numeric)
120                                     White  78 (anylist) (numeric)
121                                     Black  70 (anylist) (numeric)
122                                     White  67 (anylist) (numeric)
123                                     White  70 (anylist) (numeric)
124                                     White  71 (anylist) (numeric)
125                                     White  56 (anylist) (numeric)
126                                     White  72 (anylist) (numeric)
127                                     White  81 (anylist) (numeric)
128                                     White  62 (anylist) (numeric)
129                                     White  85 (anylist) (numeric)
130                                     White  62 (anylist) (numeric)
131                                     White  42 (anylist) (numeric)
132                                     White  60 (anylist) (numeric)
133                                     White  74 (anylist) (numeric)
134                                   Unknown  55 (anylist) (numeric)
135                                     White  56 (anylist) (numeric)
136                                     White  56 (anylist) (numeric)
137                                     White  66 (anylist) (numeric)
138                                     White  45 (anylist) (numeric)
139                                     White  34 (anylist) (numeric)
140                                     Black  59 (anylist) (numeric)
141                                     White  56 (anylist) (numeric)
142                                     White  44 (anylist) (numeric)
143                                     Asian  53 (anylist) (numeric)
144                                     White  62 (anylist) (numeric)
145                                     White  45 (anylist) (numeric)
146                                     White  35 (anylist) (numeric)
147                                     White  63 (anylist) (numeric)
148                                     White  68 (anylist) (numeric)
149                                     White  41 (anylist) (numeric)
150                                     White  40 (anylist) (numeric)
151                                     White  79 (anylist) (numeric)
152                                     White  50 (anylist) (numeric)
153                                     White  72 (anylist) (numeric)
154                                     White  70 (anylist) (numeric)
155                                     White  69 (anylist) (numeric)
156                                     White  69 (anylist) (numeric)
157                                     White  64 (anylist) (numeric)
158                                     White  75 (anylist) (numeric)
159                                     White  46 (anylist) (numeric)
160                                     White  60 (anylist) (numeric)
161                                     Black  58 (anylist) (numeric)
162                                     Asian  47 (anylist) (numeric)
163                                     White  47 (anylist) (numeric)
164                                     White  47 (anylist) (numeric)
165                                     White  56 (anylist) (numeric)
166                                     White  45 (anylist) (numeric)
167                                     White  47 (anylist) (numeric)
168                                     White  48 (anylist) (numeric)
169                                     White  79 (anylist) (numeric)
170                                     White  76 (anylist) (numeric)
171                                     White  54 (anylist) (numeric)
172                                     White  52 (anylist) (numeric)
173                                     White  42 (anylist) (numeric)
174                                     White  55 (anylist) (numeric)
175                                     Black  49 (anylist) (numeric)
176                                     White  51 (anylist) (numeric)
177                                     White  75 (anylist) (numeric)
178                                     White  49 (anylist) (numeric)
179                                     White  53 (anylist) (numeric)
180                                     White  46 (anylist) (numeric)
181                                     White  67 (anylist) (numeric)
182                                     White  55 (anylist) (numeric)
183                                     White  62 (anylist) (numeric)
184                                     White  64 (anylist) (numeric)
185                                     White  75 (anylist) (numeric)
186                                     White  54 (anylist) (numeric)
187                                     White  58 (anylist) (numeric)
188                                     White  78 (anylist) (numeric)
189                                     White  42 (anylist) (numeric)
190                                     White  56 (anylist) (numeric)
191                                     White  51 (anylist) (numeric)
192                                     White  65 (anylist) (numeric)
193                                     White  52 (anylist) (numeric)
194                                     White  68 (anylist) (numeric)
195                                     White  57 (anylist) (numeric)
196                                     White  39 (anylist) (numeric)
197                                     White  50 (anylist) (numeric)
198                                     White  50 (anylist) (numeric)
199                                     White  65 (anylist) (numeric)
200                                     White  45 (anylist) (numeric)
201                                     White  62 (anylist) (numeric)
202                                     White  82 (anylist) (numeric)
203                                     White  64 (anylist) (numeric)
204                                     White  60 (anylist) (numeric)
205                                     White  65 (anylist) (numeric)
206                                     White  49 (anylist) (numeric)
207                                     White  50 (anylist) (numeric)
208                                     White  57 (anylist) (numeric)
209                                     White  77 (anylist) (numeric)
210                                     White  41 (anylist) (numeric)
211                                     White  51 (anylist) (numeric)
212                                     White  52 (anylist) (numeric)
213                                     White  61 (anylist) (numeric)
214                                   Unknown  83 (anylist) (numeric)
215                                     White  60 (anylist) (numeric)
216                                     Black  71 (anylist) (numeric)
217                                     White  67 (anylist) (numeric)
218                                     Black  57 (anylist) (numeric)
219                                     White  45 (anylist) (numeric)
220                                     White  72 (anylist) (numeric)
221                                     White  47 (anylist) (numeric)
222                                     White  58 (anylist) (numeric)
223                                   Unknown  80 (anylist) (numeric)
224                                     Asian  55 (anylist) (numeric)
225                                     White  53 (anylist) (numeric)
226                                     Black  90 (anylist) (numeric)
227                                     Asian  41 (anylist) (numeric)
228                                     White  89 (anylist) (numeric)
229                                     White  56 (anylist) (numeric)
230                                   Unknown  48 (anylist) (numeric)
231                                     White  46 (anylist) (numeric)
232                                     White  48 (anylist) (numeric)
233                                     White  57 (anylist) (numeric)
234                                     White  72 (anylist) (numeric)
235                                     White  53 (anylist) (numeric)
236                                     White  47 (anylist) (numeric)
237                                     White  69 (anylist) (numeric)
238                                     White  65 (anylist) (numeric)
239                                     White  72 (anylist) (numeric)
240                                     Black  49 (anylist) (numeric)
241                                     White  46 (anylist) (numeric)
242                                   Unknown  56 (anylist) (numeric)
243                                     White  75 (anylist) (numeric)
244                                     White  56 (anylist) (numeric)
245                                     Black  67 (anylist) (numeric)
246                                     White  29 (anylist) (numeric)
247                                     White  81 (anylist) (numeric)
248                                     White  55 (anylist) (numeric)
249                                     White  78 (anylist) (numeric)
250                                     White  65 (anylist) (numeric)
251                                   Unknown  41 (anylist) (numeric)
252                                     White  54 (anylist) (numeric)
253                                     White  60 (anylist) (numeric)
254                                     White  46 (anylist) (numeric)
255                                   Unknown  67 (anylist) (numeric)
256                                     White  58 (anylist) (numeric)
257                                   Unknown  58 (anylist) (numeric)
258                                     Black  53 (anylist) (numeric)
259                                     White  69 (anylist) (numeric)
260                                   Unknown  73 (anylist) (numeric)
261                                     White  65 (anylist) (numeric)
262                                     Black  75 (anylist) (numeric)
263                                     White  82 (anylist) (numeric)
264                                     Black  70 (anylist) (numeric)
265                                     White  70 (anylist) (numeric)
266                                     White  35 (anylist) (numeric)
267                                     White  90 (anylist) (numeric)
268                                     White  78 (anylist) (numeric)
269                                     White  32 (anylist) (numeric)
270                                   Unknown  61 (anylist) (numeric)
271                                     Black  46 (anylist) (numeric)
272                                     White  72 (anylist) (numeric)
273                                     White  64 (anylist) (numeric)
274                                     White  51 (anylist) (numeric)
275                                     White  69 (anylist) (numeric)
276                                     White  68 (anylist) (numeric)
277                                     White  68 (anylist) (numeric)
278                                     White  50 (anylist) (numeric)
279                                     White  54 (anylist) (numeric)
280                                     White  56 (anylist) (numeric)
281                                     White  48 (anylist) (numeric)
282                                     White  78 (anylist) (numeric)
283                                     White  36 (anylist) (numeric)
284                                     White  37 (anylist) (numeric)
285                                     White  42 (anylist) (numeric)
286                                     White  43 (anylist) (numeric)
287                                     White  77 (anylist) (numeric)
288                                     Black  73 (anylist) (numeric)
289                                     White  54 (anylist) (numeric)
290                                     White  69 (anylist) (numeric)
291                                     White  67 (anylist) (numeric)
292                                     White  73 (anylist) (numeric)
293                                     White  67 (anylist) (numeric)
294                                     White  69 (anylist) (numeric)
295                                     White  82 (anylist) (numeric)
296                                     White  43 (anylist) (numeric)
297                                     White  68 (anylist) (numeric)
298                                     White  73 (anylist) (numeric)
299                                     White  40 (anylist) (numeric)
300                                     Black  62 (anylist) (numeric)
301                                     White  72 (anylist) (numeric)
302                                     White  63 (anylist) (numeric)
303                                     White  67 (anylist) (numeric)
304                                     White  48 (anylist) (numeric)
305                                     White  56 (anylist) (numeric)
306                                     White  36 (anylist) (numeric)
307                                     White  64 (anylist) (numeric)
308                                     White  70 (anylist) (numeric)
309                                     White  72 (anylist) (numeric)
310                                     White  63 (anylist) (numeric)
311                                     White  42 (anylist) (numeric)
312                                     White  32 (anylist) (numeric)
313                                     White  70 (anylist) (numeric)
314                                     White  71 (anylist) (numeric)
315                                     White  86 (anylist) (numeric)
316                                     White  57 (anylist) (numeric)
317                                     White  66 (anylist) (numeric)
318                                     White  51 (anylist) (numeric)
319                                     White  48 (anylist) (numeric)
320                                     White  49 (anylist) (numeric)
321                                     White  85 (anylist) (numeric)
322                                     White  52 (anylist) (numeric)
323                                     White  72 (anylist) (numeric)
324                                     Black  48 (anylist) (numeric)
325                                     White  68 (anylist) (numeric)
326                                     White  38 (anylist) (numeric)
327                                     White  41 (anylist) (numeric)
328                                     White  70 (anylist) (numeric)
329                                   Unknown  68 (anylist) (numeric)
330                                     White  58 (anylist) (numeric)
331                                     White  84 (anylist) (numeric)
332                                     White  35 (anylist) (numeric)
333                                     White  54 (anylist) (numeric)
334                                     White  62 (anylist) (numeric)
335                                     White  64 (anylist) (numeric)
336                                     Black  55 (anylist) (numeric)
337                                     White  76 (anylist) (numeric)
338                                     White  55 (anylist) (numeric)
339                                     White  69 (anylist) (numeric)
340                                     White  45 (anylist) (numeric)
341                                     White  79 (anylist) (numeric)
342                                     White  58 (anylist) (numeric)
343                                     White  59 (anylist) (numeric)
344                                     White  45 (anylist) (numeric)
345                                     White  85 (anylist) (numeric)
346                                     Black  35 (anylist) (numeric)
347                                     White  47 (anylist) (numeric)
348                                     White  73 (anylist) (numeric)
349                                     White  51 (anylist) (numeric)
350                                     White  49 (anylist) (numeric)
351                                     White  38 (anylist) (numeric)
352                                     Black  62 (anylist) (numeric)
353                                     White  76 (anylist) (numeric)
354                                     White  72 (anylist) (numeric)
355                                     White  61 (anylist) (numeric)
356                                     White  71 (anylist) (numeric)
357                                     White  74 (anylist) (numeric)
358                                     White  83 (anylist) (numeric)
359                                     White  60 (anylist) (numeric)
360                                     Black  58 (anylist) (numeric)
361                                     White  42 (anylist) (numeric)
362                                     White  70 (anylist) (numeric)
363                                     White  75 (anylist) (numeric)
364                                     White  46 (anylist) (numeric)
365                                     White  46 (anylist) (numeric)
366                                     White  74 (anylist) (numeric)
367                                     White  55 (anylist) (numeric)
368                                     White  62 (anylist) (numeric)
369                                     White  49 (anylist) (numeric)
370                                     White  74 (anylist) (numeric)
371                                     White  67 (anylist) (numeric)
372                                     White  55 (anylist) (numeric)
373                                     White  39 (anylist) (numeric)
374                                     White  67 (anylist) (numeric)
375                                     White  41 (anylist) (numeric)
376                                     White  78 (anylist) (numeric)
377                                     Black  61 (anylist) (numeric)
378                                     White  84 (anylist) (numeric)
379                                     Black  46 (anylist) (numeric)
380                                     Black  65 (anylist) (numeric)
381                                     White  69 (anylist) (numeric)
382                                     White  59 (anylist) (numeric)
383                                     White  65 (anylist) (numeric)
384                                     White  39 (anylist) (numeric)
385                                     White  53 (anylist) (numeric)
386                                   Unknown  73 (anylist) (numeric)
387                                     White  59 (anylist) (numeric)
388                                     White  53 (anylist) (numeric)
389                                     White  61 (anylist) (numeric)
390                                     White  77 (anylist) (numeric)
391                                     White  84 (anylist) (numeric)
392                                     Black  59 (anylist) (numeric)
393                                     White  67 (anylist) (numeric)
394                                     White  82 (anylist) (numeric)
395                                     White  72 (anylist) (numeric)
396                                     White  74 (anylist) (numeric)
397                                     White  45 (anylist) (numeric)
398                                     White  73 (anylist) (numeric)
399                                     White  77 (anylist) (numeric)
400                                     White  33 (anylist) (numeric)
401                                     White  72 (anylist) (numeric)
402                                     White  45 (anylist) (numeric)
403                                     White  61 (anylist) (numeric)
404                                     White  67 (anylist) (numeric)
405                                     White  71 (anylist) (numeric)
406                                     White  44 (anylist) (numeric)
407                                     White  75 (anylist) (numeric)
408                                     White  80 (anylist) (numeric)
409                                     White  60 (anylist) (numeric)
410                                     White  80 (anylist) (numeric)
411                                     White  66 (anylist) (numeric)
412                                     White  58 (anylist) (numeric)
413                                     White  45 (anylist) (numeric)
414                                     White  69 (anylist) (numeric)
415                                     White  50 (anylist) (numeric)
416                                     White  60 (anylist) (numeric)
417                                     White  65 (anylist) (numeric)
418                                     White  61 (anylist) (numeric)
419                                     Black  34 (anylist) (numeric)
420                                     White  64 (anylist) (numeric)
421                                     White  65 (anylist) (numeric)
422                                     White  87 (anylist) (numeric)
423                                     White  53 (anylist) (numeric)
424                                     White  55 (anylist) (numeric)
425                                     White  65 (anylist) (numeric)
426                                     White  50 (anylist) (numeric)
427                                     White  67 (anylist) (numeric)
428                                     White  50 (anylist) (numeric)
429                                     White  60 (anylist) (numeric)
430                                     White  68 (anylist) (numeric)
431                                     White  65 (anylist) (numeric)
432                                     White  80 (anylist) (numeric)
433                                     White  42 (anylist) (numeric)
434 Native Hawaiian or Other Pacific Islander  44 (anylist) (numeric)
435                                     White  37 (anylist) (numeric)
436                                     White  67 (anylist) (numeric)
437                                     White  61 (anylist) (numeric)
438                                     White  67 (anylist) (numeric)
439                                     White  65 (anylist) (numeric)
440                                     White  70 (anylist) (numeric)
441                                     White  64 (anylist) (numeric)
442                                     White  64 (anylist) (numeric)
443                                     White  72 (anylist) (numeric)
444                                     White  63 (anylist) (numeric)
445                                     White  70 (anylist) (numeric)
446                                     White  75 (anylist) (numeric)
447                                     White  62 (anylist) (numeric)
448                                     White  52 (anylist) (numeric)
449                                     White  56 (anylist) (numeric)
450                                     White  79 (anylist) (numeric)
451                                     White  52 (anylist) (numeric)
452                                     Black  80 (anylist) (numeric)
453                                     Black  80 (anylist) (numeric)
454                                     White  71 (anylist) (numeric)
455                                     White  74 (anylist) (numeric)
456                                     White  56 (anylist) (numeric)
457                                     Asian  71 (anylist) (numeric)
458                                     White  54 (anylist) (numeric)
459                                     White  60 (anylist) (numeric)
460                                     White  62 (anylist) (numeric)
461                                     White  50 (anylist) (numeric)
462                                     White  59 (anylist) (numeric)
463                                     White  55 (anylist) (numeric)
464                                     White  61 (anylist) (numeric)
465                                     White  54 (anylist) (numeric)
466                                     White  88 (anylist) (numeric)
467                                     White  63 (anylist) (numeric)
468                                     White  44 (anylist) (numeric)
469                                     White  44 (anylist) (numeric)
470                                     White  43 (anylist) (numeric)
471                                     White  72 (anylist) (numeric)
472                                     White  71 (anylist) (numeric)
473                                     White  67 (anylist) (numeric)
474                                     White  80 (anylist) (numeric)
475                                     White  59 (anylist) (numeric)
476                                     White  64 (anylist) (numeric)
477                                     White  60 (anylist) (numeric)
478                                     White  46 (anylist) (numeric)
479                                     Black  51 (anylist) (numeric)
480                                   Unknown  83 (anylist) (numeric)
481                                     White  42 (anylist) (numeric)
482                                     White  49 (anylist) (numeric)
483                                     White  51 (anylist) (numeric)
484                                     White  66 (anylist) (numeric)
485                                     White  54 (anylist) (numeric)
486                                     White  83 (anylist) (numeric)
487                                     White  61 (anylist) (numeric)
488                                     Black  43 (anylist) (numeric)
489                                     White  49 (anylist) (numeric)
490                                     Black  38 (anylist) (numeric)
491                                     White  50 (anylist) (numeric)
492                                     White  50 (anylist) (numeric)
493                                     White  75 (anylist) (numeric)
494                                     White  73 (anylist) (numeric)
495          American Indian or Alaska Native  49 (anylist) (numeric)
496                                     White  80 (anylist) (numeric)
497                                     White  77 (anylist) (numeric)
498                                     White  82 (anylist) (numeric)
499                                     White  59 (anylist) (numeric)
500                                     White  63 (anylist) (numeric)
501                                     White  45 (anylist) (numeric)
502                                     Black  65 (anylist) (numeric)
503                                     White  85 (anylist) (numeric)
504                                     Black  74 (anylist) (numeric)
505                                     White  66 (anylist) (numeric)
506                                   Unknown  74 (anylist) (numeric)
507                                     White  50 (anylist) (numeric)
508                                     Black  43 (anylist) (numeric)
509                                     White  55 (anylist) (numeric)
510                                     Black  45 (anylist) (numeric)
511                                     White  68 (anylist) (numeric)
512                                     White  46 (anylist) (numeric)
513                                     White  61 (anylist) (numeric)
514                                     White  80 (anylist) (numeric)
515                                     White  67 (anylist) (numeric)
516                                     White  42 (anylist) (numeric)
517                                     White  59 (anylist) (numeric)
518                                     White  71 (anylist) (numeric)
519                                     White  76 (anylist) (numeric)
520                                     White  71 (anylist) (numeric)
521                                     Black  60 (anylist) (numeric)
522                                     White  39 (anylist) (numeric)
523                                     White  80 (anylist) (numeric)
524                                   Unknown  38 (anylist) (numeric)
525                                     White  50 (anylist) (numeric)
526                                     White  48 (anylist) (numeric)
527                                     White  63 (anylist) (numeric)
528                                     White  76 (anylist) (numeric)
529                                     White  67 (anylist) (numeric)
530                                     White  71 (anylist) (numeric)
531                                     White  67 (anylist) (numeric)
532                                     White  32 (anylist) (numeric)
533                                     White  56 (anylist) (numeric)
534                                     White  72 (anylist) (numeric)
535                                     White  44 (anylist) (numeric)
536                                     White  60 (anylist) (numeric)
537                                     White  60 (anylist) (numeric)
538                                     White  54 (anylist) (numeric)
539                                     White  44 (anylist) (numeric)
540                                     White  57 (anylist) (numeric)
541                                     White  43 (anylist) (numeric)
542                                     White  53 (anylist) (numeric)
543                                     White  74 (anylist) (numeric)
544                                     White  61 (anylist) (numeric)
545                                     White  52 (anylist) (numeric)
546                                     White  63 (anylist) (numeric)
547                                     White  63 (anylist) (numeric)
548                                   Unknown  77 (anylist) (numeric)
549                                     White  73 (anylist) (numeric)
550                                     White  87 (anylist) (numeric)
551                                     White  48 (anylist) (numeric)
552                                     White  73 (anylist) (numeric)
553                                     White  86 (anylist) (numeric)
554                                     White  35 (anylist) (numeric)
555                                     White  60 (anylist) (numeric)
556                                     White  67 (anylist) (numeric)
557                                     White  73 (anylist) (numeric)
558                                     Black  61 (anylist) (numeric)
559                                     White  63 (anylist) (numeric)
560                                     White  61 (anylist) (numeric)
561                                     Black  57 (anylist) (numeric)
562                                     White  55 (anylist) (numeric)
563                                   Unknown  68 (anylist) (numeric)
564                                     White  42 (anylist) (numeric)
565                                     White  61 (anylist) (numeric)
566                                     White  58 (anylist) (numeric)
567                                     White  73 (anylist) (numeric)
568                                     White  52 (anylist) (numeric)
569                                     White  52 (anylist) (numeric)
570                                     White  73 (anylist) (numeric)
571                                     White  44 (anylist) (numeric)
572                                     White  50 (anylist) (numeric)
573                                     White  57 (anylist) (numeric)
574                                     White  47 (anylist) (numeric)
575                                     White  51 (anylist) (numeric)
576                                     White  62 (anylist) (numeric)
577                                     White  71 (anylist) (numeric)
578                                     White  49 (anylist) (numeric)
579                                     Black  45 (anylist) (numeric)
580                                     White  34 (anylist) (numeric)
581                                     White  71 (anylist) (numeric)
582                                     White  52 (anylist) (numeric)
583                                     Black  75 (anylist) (numeric)
584                                     White  45 (anylist) (numeric)
585                                     White  44 (anylist) (numeric)
586                                     White  64 (anylist) (numeric)
587                                     White  66 (anylist) (numeric)
588                                     White  60 (anylist) (numeric)
589                                     White  66 (anylist) (numeric)
590                                     White  81 (anylist) (numeric)
591                                     White  67 (anylist) (numeric)
592                                     Black  53 (anylist) (numeric)
593                                     White  51 (anylist) (numeric)
594                                     White  44 (anylist) (numeric)
595                                     White  61 (anylist) (numeric)
596                                     White  82 (anylist) (numeric)
597                                     White  83 (anylist) (numeric)
598                                     White  76 (anylist) (numeric)
599                                     White  39 (anylist) (numeric)
600                                     White  48 (anylist) (numeric)
601                                     White  86 (anylist) (numeric)
602                                     Black  42 (anylist) (numeric)
603                                     White  51 (anylist) (numeric)
604                                     White  39 (anylist) (numeric)
605                                     White  57 (anylist) (numeric)
606                                     White  45 (anylist) (numeric)
607                                     White  50 (anylist) (numeric)
608                                     White  66 (anylist) (numeric)
609                                     White  46 (anylist) (numeric)
610                                     White  56 (anylist) (numeric)
611                                     White  53 (anylist) (numeric)
612                                     White  35 (anylist) (numeric)
613                                     White  44 (anylist) (numeric)
614                                     White  82 (anylist) (numeric)
615                                     White  48 (anylist) (numeric)
616                                     White  55 (anylist) (numeric)
617                                     White  52 (anylist) (numeric)
618                                     White  82 (anylist) (numeric)
619                                     White  62 (anylist) (numeric)
620                                     White  81 (anylist) (numeric)
621                                     White  66 (anylist) (numeric)
622                                     White  51 (anylist) (numeric)
  • a numeric-hypercolumn of the aggregated sample quantiles logKi67q per patientID. These quantiles are calculated at a pre-specified grid of probabilities \(\{p_k, k=1,\cdots,K \} \in [0,1]\). Note that the aggregation must be performed at the level of biologically independent clusters, e.g., ~patientID, to produce independent quantile predictors.
  • Metadata, including the outcome of interest, e.g., progression free survival PFS, Her2, HR, etc.

Readers are encouraged to learn more about the hyper data frame (hyperframe) from package spatstat.geom (Baddeley et al. 2015; Baddeley and Turner 2005).

Linear quantile index (QI) (Equation 1.1) is a predictor in a functional generalized linear model (James 2002) for outcomes from the exponential family of distributions, or a linear functional Cox model (Gellar et al. 2015) for survival outcomes,

\[ \text{QI}_{i}=\int_{0}^{1} \beta(p)Q_i(p)dp \tag{1.1}\]

where \(Q_i(p)\) is the (aggregated) sample quantiles logKi67q for the \(i\)-th subject, and \(\beta(p)\) is the unknown coefficient function to be estimated. Listing 1.2 fits a generalized additive model (gam(), Wood 2017, v1.9.4, GPL (>= 2)) with integrated linear spline-based smoothness estimation (s(), Wood 2003, v1.9.4, GPL (>= 2)). This is a scalar-on-function model (Reiss et al. 2017) that predicts a scalar outcome (e.g., progression free survival time PFS[,1L]) using the aggregated quantiles as a functional predictor.

Listing 1.2: Linear functional Cox model for survival outcome (Gellar et al. 2015) (Listing 1.1)
m0

Family: Cox PH 
Link function: identity 

Formula:
PFS[, 1L] ~ s(logKi67q.x, by = logKi67q.L * logKi67q.y, bs = "cr")

Estimated degrees of freedom:
2  total = 2 

REML score: 714.9095     

Nonlinear quantile index (nlQI) (Equation 1.2) is a predictor in the functional generalized additive model (McLean et al. 2014) for outcomes from the exponential family of distributions, or an additive functional Cox model (Cui et al. 2021) for survival outcomes.

\[ \text{nlQI}_{i}= \int_{0}^{1} F\big(p, Q_i(p)\big)dp \tag{1.2}\]

where \(F(\cdot,\cdot)\) is an unknown bivariate twice differentiable function. Listing 1.3 fits a generalized additive model (gam(), Wood 2017, v1.9.4, GPL (>= 2)) with tensor product interaction estimation (ti(), Wood 2006, v1.9.4, GPL (>= 2)).

Listing 1.3: Additive functional Cox model for survival outcome (Cui et al. 2021) (Listing 1.1)
m1

Family: Cox PH 
Link function: identity 

Formula:
PFS[, 1L] ~ ti(logKi67q.x, logKi67q.y, by = logKi67q.L, bs = "cr", 
    mc = c(FALSE, TRUE))

Estimated degrees of freedom:
5.32  total = 5.32 

REML score: 708.0423     

The function widget_gam() creates an interactive htmlwidget (Vaidyanathan et al. 2023, v1.6.4, MIT + file LICENSE) visualization of the estimated integrand surfaces for the linear (Equation 1.1) or nonlinear quantile index (Equation 1.2) using package plotly (Sievert 2020, v4.12.0, MIT + file LICENSE). The integrand surfaces, defined on \(p\in[0,1]\) and \(q\in\text{range}\big\{Q_i(p), i=1,\cdots,n\big\}\), are

\[ \hat{S}(p,q) = \begin{cases} \hat{\beta}(p)\cdot q\\ \hat{F}(p,q) \end{cases} \tag{1.3}\]

Also in this interactive visualization are

  • the contour lines on the integrand surfaces (Equation 1.3), as well as their projections along the \(s\)-axis, i.e., onto the \((p,q)\)-plane (a.k.a., the “floor”);
  • the estimated linear integrand paths \(\hat{\beta}(p)Q_i(p)\) or the nonlinear integrand paths \(\hat{F}(p, Q_i(p))\) on the integrand surfaces (Equation 1.3);
  • the sample quantiles \(Q_i(p)\), i.e., the projections of the estimated linear or nonlinear integrand path along the \(s\)-axis, i.e., onto the \((p,q)\)-plane (a.k.a., the “floor”);
  • the projections of the estimated linear or nonlinear integrand path along the \(q\)-axis, i.e., onto the \((p,s)\)-plane (a.k.a., the “backwall”), so that the area under each projected path is equal to the estimated linear (Equation 1.1) or nonlinear quantile index (Equation 1.2).

Figure 1.1 is a collage (via package htmltools, Cheng et al. 2025, v0.5.9, GPL (>= 2)) of the interactive htmlwidget visualizations of the linear and nonlinear integrand surfaces, contours, integrand paths and their projections to the “floor” and “backwall”. Listing 1.4 uses n=21L to reduce the htmlwidget objects size.

Listing 1.4: Figure: visualize linear and nonlinear quantile index (Listing 1.2, Listing 1.3)
Code
scene = list(
  xaxis = list(title = 'Probability (p)', tickformat = '.0%', color = 'dodgerblue'), 
  yaxis = list(title = 'Quantile (q)', color = 'deeppink'),
  zaxis = list(title = 'Integrand (s)', color = 'darkolivegreen')
)
htmltools::tagList(
  m0 |> 
    hyper.gam::widget_gam(formula = ~ logKi67q, n = 21L) |> 
    plotly::layout(scene = scene), 
  m1 |> 
    hyper.gam::widget_gam(formula = ~ logKi67q) |> 
    plotly::layout(scene = scene)
) |> 
  htmltools::browsable()
Figure 1.1: Linear (top) and nonlinear (bottom) integrand surfaces, contours, integrand paths and their projections to the “floor” and “backwall”