Tutorial 8 - Structural learning

In this tutorial we will build a model from data, adding both nodes and links, and then learning the parameters.

The following concepts will be covered:

  • Creating a Data Connection
  • Adding nodes from data
  • Re-ordering discrete variable states
  • Adding links from data (structural learning)
  • Learning parameters from data

Bayes Server must be installed, before starting this tutorial. An evaluation version can be downloaded from the Downloads page

Companion video (No Audio)

Setting up a data connection

For convenience, we will use Microsoft Excel as the data source, however another database can be substituted.

Although Microsoft Excel is a convenient way of storing data, in practice we recommend using a database as the data source.

Adding a data connection

Note: You can skip this step, and instead use the pre-installed Tutorial data connection (Walkthrough Data in earlier versions).

  • Select the data (including the header) in the data section and copy it to the clipboard (Ctrl+C).
  • Open Microsoft Excel and paste the data into a new Microsoft Excel spreadsheet (Ctrl+V).
  • Save the new spreadsheet.
  • In Bayes Server, click the Data Connections button on the Data tab, Data Sources group. This will launch the Data connection manager.
  • Click the New button on the toolbar. This will launch the Data connection editor.
  • In the list of data providers, select the appropriate Excel Driver for the version of Microsoft Excel you are using.
  • Next to the File Name text box, click the Ellipsis (...) button, and select the Microsoft Excel spreadsheet created in an earlier step.
  • Click the Test Connection button, to ensure the new data connection is working.
  • Click OK to add the new Data Connection.

Adding nodes from data

It is possible to add nodes manually, however in this tutorial we will add nodes automatically from data.

  • Launch Bayes Server, and click New on the File tab to create a new empty network.

  • In Bayes Server, click the Add Nodes button on the Data tab, Network group. This will launch the Data tables window.

  • In the Data Connection drop down, select the new Data Connection created in an earlier step, or the Tutorial data connection if you skipped that step. This should enable the Data drop down.

  • In the Data drop down, select the worksheet that contains the data. (If the data is on the first worksheet, select Sheet1$). If you are using the pre-installed Tutorial data connection, select Tutorial 8 - Structural.

  • Click the OK button. This will launch the Add nodes from data wizard.

  • Ensure that the Case database column is not checked. This is an identifier column, which we do not want to include as a node/variable.

    The window should look like this:

    Structural learning - add nodes from data

  • Click Next, accepting the default options, until you reach the Run page.

  • Click Run to run the detection algorithm.

  • Click the Finish button in the Add nodes from data wizard. This will add the nodes to the empty network.

  • Re-position the new nodes as per the network shown below. This can be done by dragging each node, or setting x and y positions in the Properties window.

  • Select the node named Hair Length and then click the States button on the Network tab, Editing group. This will launch the States editor window.

  • Use the up and down arrows to change the order of the states to Short, Medium, Long. Then click the OK button.

  • Repeat this step for the node named Build, re-ordering the states to Slim, Average, Large.

The network should look like this:

Structural learning - pre links

At this point we could manually add links between the nodes we added to the network in the previous step, however the purpose of this tutorial is to demonstrate learning the links from data, known as structural learning.

  • In Bayes Server, click the Structural learning button on the Data tab, Network group. This will launch the Data tables window.

  • In the Data Connection drop down, select the new Data Connection created in an earlier step, or the Tutorial data connection if you skipped that step. This should enable the Data drop down.

  • In the Data drop down, select the worksheet that contains the data. (If the data is on the first worksheet, select Sheet1$). If you are using the pre-installed Tutorial data connection, select Tutorial 8 - Structural.

  • Click the OK button. This will launch the Data map window.

  • In the Data map window, ensure that all variables have been mapped to columns of the same name.

    The window should look like this:

    Structural learning - data map

  • Click the OK button. This will launch the Structural learning wizard.

  • Click Next in the wizard, accepting all the default settings, until you reach the Run page. Click the Run button to start learning.

  • When learning has completed, click the Finish button on the wizard. This will launch the Candidate networks window. Click OK to update the existing network.

    Links have now been added to the new network which should look like this:

    Structural learning - links added

Learning the distributions

We could now enter the distribution parameters for the nodes manually using the Distribution editor, however in this tutorial we will learn the parameter values from data.

Parameter learning

  • Click the Parameter Learning button, on the Data tab. This will launch the Data tables window.

  • In the Data Connection drop down, select the new Data Connection created in an earlier step, or the Tutorial data connection if you skipped that step. This should enable the Data drop down.

  • In the Data drop down, select the worksheet that contains the data. (If the data is on the first worksheet, select Sheet1$). If you are using the pre-installed Tutorial data connection, select Tutorial 8 - Structural.

  • Click the OK button. This will launch the Data map window.

  • In the Data map window, ensure that all variables have been mapped to columns of the same name.

    The window should look like this:

    Structural learning - data map

  • Click the OK button. This will launch the Parameter learning wizard.

  • Click Next in the wizard, accepting all the default settings, until you reach the Run page. Click the Run button to start learning.

  • When learning has completed, click the Finish button on the wizard. This will launch the Candidate Networks window.

  • Click the OK button in the Candidate Networks window.

  • The network distributions have now been learned.

Summary

The network has now been fully specified from data. To see the network in action, click the All button on the network viewer toolbar, or use the keyboard shortcut F6.

Data

Case Build Gender Hair Length Height Weight
0 Slim Male Short 174 45.1
1 Average Male Long 162 65.6
2 Large Female Medium 154 63.4
3 Large Male Short 177 106
4 Average Male Short 182 72.3
5 Large Male Short 175 116
6 Large Male Short 162 86.3
7 Average Female Long 156 49
8 Large Male Long 169 93.6
9 Large Female Long 165 84.1
10 Average Female Long 167 52.8
11 Large Male Short 181 120
12 Large Male Short 178 114
13 Large Male Short 165 92.2
14 Large Male Short 187 116
15 Slim Male Short 175 43.2
16 Large Female Long 166 84
17 Large Female Medium 154 67
18 Large Male Medium 179 117
19 Large Female Long 157 69.8
20 Average Female Long 150 36.5
21 Large Male Medium 178 110
22 Large Male Medium 181 104
23 Average Male Medium 173 72.8
24 Large Female Medium 173 88.4
25 Average Male Short 169 67.6
26 Slim Female Long 163 27.3
27 Average Male Short 182 79.7
28 Slim Male Short 180 48.3
29 Large Female Long 173 93.8
30 Large Female Long 167 82.5
31 Large Male Short 178 113
32 Large Male Medium 172 102
33 Large Male Long 171 100
34 Large Female Medium 177 102
35 Average Male Short 176 78.5
36 Large Female Short 168 89.8
37 Average Male Short 184 72.2
38 Average Male Short 161 61.4
39 Large Male Short 180 108
40 Average Female Medium 162 57.3
41 Slim Male Medium 192 52.8
42 Average Male Short 170 60.3
43 Slim Female Long 172 34.8
44 Large Male Short 173 113
45 Average Female Long 164 56.3
46 Average Female Medium 162 53.6
47 Large Female Long 156 76.8
48 Slim Female Short 174 32
49 Slim Female Medium 157 25.5
50 Large Male Short 165 93.1
51 Large Male Short 172 110
52 Large Male Medium 169 96
53 Large Male Short 181 119
54 Average Male Short 167 61.7
55 Large Male Short 188 120
56 Average Male Short 169 61
57 Large Female Medium 167 93.2
58 Large Male Short 180 113
59 Slim Male Short 167 42.4
60 Average Female Medium 162 45.9
61 Large Male Short 170 100
62 Slim Male Medium 171 47.8
63 Large Male Short 175 94.8
64 Slim Female Medium 170 34.1
65 Average Female Medium 147 34.2
66 Large Male Medium 172 104
67 Large Female Long 145 57.1
68 Average Female Long 153 45.1
69 Slim Female Short 170 34.4
70 Slim Male Short 184 47.7
71 Large Female Medium 166 90.7
72 Large Female Long 161 72.4
73 Large Female Long 172 89.8
74 Average Female Medium 173 63.1
75 Large Female Long 165 96.8
76 Slim Female Medium 163 28.5
77 Large Female Long 176 95.9
78 Large Female Long 162 76.7
79 Large Female Short 156 72.8
80 Slim Female Medium 157 28.1
81 Large Female Long 163 83.3
82 Slim Male Short 176 41.5
83 Average Male Short 184 64.9
84 Average Male Short 196 87.4
85 Large Male Short 178 114
86 Large Male Short 177 104
87 Average Male Short 175 73.1
88 Average Male Short 178 70.8
89 Large Female Medium 172 97.6
90 Large Male Short 165 98.5
91 Average Male Medium 186 72.9
92 Large Female Long 161 83.4
93 Large Female Short 171 86.3
94 Large Male Short 176 110
95 Large Female Long 168 83.7
96 Average Female Short 171 60.9
97 Large Female Long 172 89.5
98 Large Female Long 170 82.7
99 Large Female Long 170 83.1
100 Large Female Long 163 92.2
101 Average Female Short 165 45.8
102 Slim Female Long 162 32.1
103 Slim Male Short 170 46.6
104 Large Male Medium 179 114
105 Large Female Long 173 97
106 Average Female Medium 151 35
107 Large Female Long 149 66.2
108 Slim Female Medium 148 26
109 Large Female Long 155 69.6
110 Large Male Short 177 109
111 Large Female Long 153 65.6
112 Large Male Short 179 113
113 Large Male Medium 176 109
114 Average Male Short 178 74.3
115 Slim Female Long 181 34.9
116 Large Male Medium 173 105
117 Large Female Medium 171 89.6
118 Large Female Long 161 74
119 Average Female Medium 149 43.1
120 Average Male Short 171 63
121 Average Female Long 164 50.3
122 Average Female Long 160 51.6
123 Average Female Long 164 54.2
124 Large Female Long 168 79.3
125 Average Female Medium 165 52.2
126 Large Female Long 151 61.8
127 Slim Male Short 172 39.9
128 Large Female Long 157 70.7
129 Slim Female Long 157 25.7
130 Large Female Short 166 82.7
131 Slim Male Short 178 47.8
132 Average Male Short 179 75.2
133 Average Male Short 180 77.1
134 Large Female Long 146 49.4
135 Large Female Long 167 79.1
136 Slim Male Short 172 46.8
137 Slim Male Short 174 42.1
138 Slim Female Long 177 35
139 Large Female Medium 175 105
140 Average Male Short 173 69.9
141 Average Male Short 175 68
142 Average Male Medium 173 67.7
143 Large Male Short 170 90.3
144 Large Male Medium 181 115
145 Large Female Medium 158 70.4
146 Slim Female Long 166 23.2
147 Large Male Medium 171 99.2
148 Large Female Medium 165 86.6
149 Average Female Long 166 49.2
150 Large Male Short 163 83.6
151 Large Female Medium 167 83.9
152 Slim Male Short 177 41.2
153 Large Female Long 163 76.5
154 Large Female Medium 166 82
155 Average Male Short 181 80.1
156 Large Female Long 156 78.3
157 Large Female Medium 161 71.5
158 Average Female Medium 165 49
159 Average Female Long 153 44.5
160 Slim Female Medium 156 30.4
161 Slim Female Long 164 28.1
162 Large Female Long 160 68.8
163 Large Male Short 182 114
164 Large Female Medium 164 80.8
165 Average Male Short 170 54.9
166 Average Male Short 176 74
167 Large Male Short 179 113
168 Average Female Medium 158 48.7
169 Average Female Long 167 45.5
170 Average Male Short 172 66.8
171 Average Male Short 172 68.5
172 Average Male Short 173 70.6
173 Large Female Long 173 94.1
174 Large Female Short 163 73.9
175 Average Male Short 186 71.1
176 Average Male Short 174 66.5
177 Large Male Short 183 119
178 Slim Female Medium 168 34.1
179 Slim Female Medium 154 29.8
180 Slim Male Short 173 47
181 Large Male Short 184 112
182 Average Female Long 172 62.4
183 Average Female Short 152 45.8
184 Average Male Medium 183 82.5
185 Large Female Medium 162 83
186 Average Female Short 173 59
187 Slim Male Short 181 44
188 Large Male Short 166 99.4
189 Large Female Medium 162 81.4
190 Large Female Long 165 79.3
191 Large Female Long 155 71.7
192 Average Male Short 182 76.6
193 Large Female Medium 175 95.3
194 Average Female Medium 163 52.4
195 Large Female Medium 155 77.3
196 Average Male Short 180 70.1
197 Average Male Short 169 61.9
198 Slim Female Medium 164 29.3
199 Large Female Medium 167 81.2
200 Average Female Long 156 44.4
201 Slim Female Long 159 25.5
202 Slim Female Medium 166 27.1
203 Large Female Long 163 80.9
204 Large Male Short 177 105
205 Average Male Short 172 65
206 Large Female Long 171 92
207 Large Female Long 170 81
208 Large Male Short 174 105
209 Average Male Long 182 69.9
210 Large Female Long 165 83.5
211 Average Male Long 179 69
212 Large Male Short 191 122
213 Large Female Long 160 74.1
214 Large Male Long 172 108
215 Large Female Long 164 84.7
216 Large Male Short 173 109
217 Slim Male Short 187 48.4
218 Large Female Medium 156 74.8
219 Slim Female Short 160 30.5
220 Large Male Short 177 104
221 Large Male Short 179 113
222 Large Female Short 166 89.8
223 Large Male Medium 185 125
224 Slim Male Medium 188 43.9
225 Average Female Short 156 40.8
226 Average Male Medium 177 71
227 Large Female Medium 158 68.7
228 Average Male Short 168 64.9
229 Average Female Long 161 51.6
230 Large Female Medium 157 69.1
231 Average Male Short 169 69.6
232 Large Male Short 166 88
233 Average Male Short 196 87.1
234 Slim Female Long 156 28.8
235 Average Male Medium 172 66.4
236 Average Female Short 160 46.7
237 Slim Female Long 157 35.3
238 Large Female Medium 169 87.5
239 Large Female Long 165 73.8
240 Slim Male Medium 178 48.3
241 Slim Male Short 177 50.7
242 Slim Male Short 176 45.5
243 Average Male Short 169 66.3
244 Slim Female Long 138 17.3
245 Large Male Short 168 92.6
246 Average Male Medium 180 69.8
247 Large Male Long 189 111
248 Slim Female Long 156 24.3
249 Slim Male Short 173 39.3
250 Large Female Medium 152 73
251 Slim Male Medium 183 41.9
252 Large Female Long 159 77.9
253 Large Female Medium 162 74.6
254 Large Male Short 180 119
255 Average Male Short 181 68.6
256 Average Male Short 174 69.7
257 Large Female Medium 166 88.6
258 Slim Female Medium 155 21.3
259 Slim Male Short 178 48.5
260 Large Female Long 166 86.2
261 Large Male Short 172 101
262 Slim Female Long 161 26.3
263 Slim Male Short 189 52.9
264 Large Female Medium 169 82.5
265 Large Female Long 165 77.9
266 Large Female Medium 164 73.8
267 Large Male Short 182 123
268 Average Female Medium 165 53.2
269 Average Male Short 170 71.2
270 Average Female Long 160 49.6
271 Average Female Medium 160 49.3
272 Large Female Long 157 78.6
273 Large Female Long 167 96.8
274 Large Male Short 168 94.9
275 Large Male Short 182 113
276 Large Male Short 185 114
277 Large Male Medium 177 99.8
278 Average Male Short 169 57.4
279 Large Male Short 168 95
280 Slim Male Short 191 51.6
281 Large Female Medium 163 79.3
282 Large Male Short 174 108
283 Large Female Long 175 99.3
284 Average Female Medium 169 57
285 Large Female Medium 160 80.2
286 Large Female Long 154 79.4
287 Slim Female Medium 162 30.4
288 Large Male Medium 174 98.7
289 Slim Female Medium 164 33.2
290 Average Male Short 174 66.9
291 Large Male Medium 184 119
292 Large Male Short 162 93.5
293 Large Male Short 175 104
294 Large Female Long 153 65.2
295 Average Female Long 162 49.5
296 Average Female Medium 160 45.2
297 Average Male Short 177 69.5
298 Average Male Short 184 74.6
299 Slim Female Medium 161 32.1
300 Large Female Short 158 76.9
301 Average Male Short 186 79.1
302 Average Female Medium 149 44.6
303 Large Male Short 173 109
304 Average Female Medium 165 56.7
305 Large Male Short 184 113
306 Slim Male Short 174 46.7
307 Average Female Long 167 54.6
308 Average Female Long 162 55.6
309 Large Male Short 188 133
310 Large Female Long 155 73.5
311 Average Male Short 183 72.9
312 Large Male Short 186 110
313 Large Male Short 177 109
314 Large Female Long 148 63.6
315 Slim Female Short 152 28.8
316 Slim Female Long 161 25.1
317 Average Female Medium 160 50.2
318 Average Female Long 167 49.6
319 Slim Male Short 169 47.4
320 Slim Female Long 166 27
321 Slim Male Short 172 42.5
322 Large Female Medium 166 83.7
323 Slim Female Long 166 30.7
324 Average Female Long 162 48.4
325 Large Female Medium 156 74.1
326 Average Male Short 174 66.9
327 Slim Male Short 170 46.7
328 Large Female Long 164 87
329 Large Female Long 172 91.8
330 Large Female Medium 163 79.3
331 Large Male Short 167 86.5
332 Average Female Long 170 63.6
333 Average Male Short 179 65.5
334 Large Female Long 168 88.5
335 Large Female Long 175 102
336 Large Male Short 185 120
337 Large Female Medium 159 78.8
338 Large Male Short 165 92.8
339 Large Female Long 151 62.6
340 Slim Male Short 188 46.8
341 Large Female Long 152 60
342 Large Female Long 161 81.8
343 Large Female Long 163 76.9
344 Slim Female Long 153 25.2
345 Average Female Short 163 47.4
346 Slim Female Long 159 30.7
347 Large Male Short 183 116
348 Average Female Long 163 52.3
349 Average Female Long 154 46.3
350 Average Female Long 167 55.1
351 Slim Male Short 173 40.9
352 Large Female Medium 164 80.9
353 Large Male Short 181 121
354 Average Male Medium 177 64.4
355 Large Male Short 165 101
356 Large Female Medium 169 88.8
357 Large Male Short 177 101
358 Slim Female Long 158 29.7
359 Large Male Short 181 118
360 Large Female Short 147 61
361 Large Male Short 171 104
362 Average Female Medium 161 47.1
363 Large Female Medium 163 78.6
364 Average Male Short 177 65
365 Average Female Medium 154 36.2
366 Average Female Long 177 60
367 Large Female Medium 170 94.9
368 Slim Female Long 158 29.1
369 Average Male Short 174 67.3
370 Large Male Medium 173 108
371 Large Male Short 173 100
372 Average Male Short 174 66.2
373 Slim Female Long 158 30.4
374 Large Female Long 173 95.3
375 Slim Male Medium 178 41.8
376 Large Male Short 180 112
377 Slim Male Short 164 40.8
378 Average Male Long 170 67.4
379 Large Female Long 158 79.3
380 Large Male Medium 171 106
381 Large Male Short 178 113
382 Average Male Medium 179 74.7
383 Large Female Long 159 75.8
384 Average Male Short 178 70.9
385 Slim Female Medium 163 32.4
386 Large Male Short 170 99.2
387 Large Male Short 173 106
388 Average Male Short 172 68
389 Large Female Long 152 59.3
390 Large Female Medium 151 59.9
391 Average Female Medium 174 66
392 Large Male Short 186 115
393 Average Male Short 180 68.1
394 Large Female Long 165 88.3
395 Average Female Long 158 42.2
396 Large Male Long 173 103
397 Large Female Long 161 77.9
398 Large Female Long 158 65.7
399 Large Female Long 166 87.6
400 Average Male Short 169 64.1
401 Large Female Long 160 71.8
402 Slim Female Short 161 29.4
403 Large Male Short 166 98.6
404 Large Male Short 177 114
405 Slim Female Medium 167 36.2
406 Large Female Long 169 84.2
407 Average Female Long 168 54.9
408 Average Female Medium 163 53.7
409 Slim Male Short 169 42.5
410 Large Male Short 172 102
411 Large Female Medium 165 81.1
412 Large Male Short 179 117
413 Large Female Long 159 75.3
414 Slim Male Short 183 47.9
415 Slim Female Medium 157 26
416 Large Male Short 171 101
417 Average Female Long 156 48.9
418 Large Male Medium 174 106
419 Slim Female Long 165 25.8
420 Average Female Medium 152 42.9
421 Slim Female Medium 170 29.4
422 Large Female Long 159 74.1
423 Large Female Short 151 68.6
424 Large Female Short 176 97.1
425 Average Female Medium 142 35.8
426 Large Male Short 169 103
427 Large Female Medium 169 88.6
428 Slim Female Long 162 26.9
429 Large Female Medium 150 71.4
430 Large Male Medium 180 115
431 Large Male Medium 184 115
432 Average Male Medium 165 63.5
433 Average Female Medium 170 59.4
434 Average Male Medium 176 67.3
435 Average Female Short 163 54.1
436 Average Male Short 183 76.8
437 Average Male Short 176 68.4
438 Large Female Long 160 76.3
439 Average Female Medium 153 44.7
440 Large Male Medium 165 102
441 Average Female Short 162 49.3
442 Average Female Long 166 54.7
443 Large Female Medium 164 82.2
444 Average Male Short 180 67.1
445 Average Male Medium 175 63.9
446 Large Male Short 174 109
447 Large Female Medium 171 96.4
448 Large Female Long 151 70.2
449 Large Female Long 156 67.2
450 Large Female Medium 151 59.6
451 Average Female Long 157 44.5
452 Average Male Medium 176 62.1
453 Large Female Long 155 74.2
454 Large Female Short 149 62
455 Large Male Short 175 108
456 Slim Male Short 188 46.8
457 Large Male Medium 181 108
458 Average Male Short 163 62.7
459 Slim Male Short 179 49.6
460 Large Female Long 165 83.7
461 Slim Male Short 190 55.4
462 Slim Female Medium 156 30.6
463 Large Female Long 160 84.3
464 Average Female Long 164 54
465 Large Male Short 172 100
466 Average Male Short 190 80
467 Large Female Long 166 81.4
468 Average Male Short 172 60.9
469 Large Female Medium 167 86.5
470 Average Female Medium 169 58.7
471 Average Female Long 162 50.2
472 Average Female Long 174 61.3
473 Large Male Long 169 98.1
474 Average Male Short 185 65.2
475 Large Female Long 170 91.8
476 Average Female Medium 164 49.4
477 Large Female Short 173 91.2
478 Large Male Short 163 90.2
479 Average Female Medium 161 53.2
480 Large Female Long 167 77
481 Large Female Medium 169 76.5
482 Average Male Short 189 76.8
483 Average Female Long 163 55.8
484 Large Female Medium 155 76.7
485 Large Female Medium 157 77.9
486 Average Male Short 179 75.9
487 Slim Female Medium 159 28.5
488 Average Female Long 162 50.5
489 Average Male Short 180 74.4
490 Large Female Medium 157 69.2
491 Slim Male Medium 171 38.8
492 Average Female Long 157 44.9
493 Average Male Medium 175 66
494 Large Female Medium 162 80.8
495 Average Male Short 175 66.9
496 Average Female Long 156 41.4
497 Large Female Short 175 102
498 Average Female Medium 153 42.4
499 Average Male Short 177 72.6
500 Slim Male Short 176 43.3
501 Large Female Short 177 102
502 Slim Male Short 166 42.2
503 Large Female Short 166 90.1
504 Average Male Short 176 76.4
505 Average Female Medium 160 46.8
506 Average Male Short 188 81.6
507 Large Female Long 169 81.8
508 Large Female Medium 160 72.6
509 Slim Female Medium 166 28.9
510 Large Male Medium 176 110
511 Slim Female Short 167 34.1
512 Large Female Medium 172 86.9
513 Average Male Short 181 76
514 Average Female Long 154 36.1
515 Large Female Medium 173 87.2
516 Large Female Long 162 79.9
517 Slim Female Long 162 29.7
518 Average Female Medium 167 55.8
519 Average Female Long 160 49.7
520 Large Female Long 165 77.9
521 Slim Male Medium 175 46.5
522 Large Female Medium 165 84.5
523 Slim Female Medium 159 28.5
524 Slim Female Medium 179 38.4
525 Slim Male Short 181 42.7
526 Large Male Medium 173 113
527 Large Female Long 165 87.8
528 Average Female Long 146 36.2
529 Average Male Short 179 73.9
530 Average Male Short 186 73
531 Average Male Long 172 63.5
532 Average Male Short 178 73
533 Large Female Long 158 76.7
534 Large Male Short 184 111
535 Slim Male Short 187 50.4
536 Large Female Long 180 112
537 Large Male Short 173 110
538 Slim Female Long 163 33.4
539 Large Female Long 166 87.7
540 Large Male Short 180 115
541 Large Male Short 193 129
542 Slim Female Medium 161 29
543 Average Female Long 159 48.9
544 Large Female Long 161 73.9
545 Average Female Medium 159 58
546 Average Female Medium 164 49.8
547 Average Male Short 183 63.4
548 Average Male Short 170 61.8
549 Slim Male Short 165 42.6
550 Average Male Short 173 58.9
551 Large Female Medium 152 70.3
552 Large Male Medium 177 112
553 Average Male Short 178 64.2
554 Large Female Short 158 76.3
555 Large Male Long 177 114
556 Slim Female Long 149 24.3
557 Large Female Medium 163 82.3
558 Average Male Short 172 67.7
559 Slim Male Long 179 47.8
560 Slim Male Short 181 47.5
561 Large Male Short 190 124
562 Large Female Medium 168 87.2
563 Average Female Long 165 49.9
564 Large Male Short 175 111
565 Large Male Short 166 86.9
566 Average Male Short 171 68.6
567 Large Male Short 178 115
568 Slim Female Long 158 24.3
569 Large Male Short 176 95.6
570 Large Female Long 176 99.3
571 Large Male Long 180 115
572 Average Male Short 182 70.4
573 Average Female Long 167 56.7
574 Slim Male Short 179 47.4
575 Average Female Short 182 69.5
576 Average Female Long 160 51.7
577 Average Male Short 171 60.6
578 Large Male Long 182 114
579 Average Male Short 178 65.5
580 Average Male Short 191 78
581 Large Female Short 156 74.8
582 Large Male Short 171 95.3
583 Slim Male Short 185 50.6
584 Large Female Medium 156 73.3
585 Large Female Long 156 76.8
586 Large Female Medium 170 94.7
587 Large Female Medium 169 90.4
588 Large Female Long 170 83.2
589 Large Male Short 175 118
590 Large Female Long 167 85.1
591 Large Female Medium 165 74.4
592 Average Male Short 179 67.5
593 Average Male Medium 175 65.7
594 Average Male Short 173 68.3
595 Slim Female Medium 185 36.9
596 Large Male Short 176 101
597 Average Female Medium 161 47.7
598 Slim Female Long 161 30.8
599 Large Male Medium 176 109
600 Average Male Short 170 69.7
601 Large Male Short 180 117
602 Large Female Long 175 92.8
603 Large Male Short 164 86.1
604 Large Female Long 161 77.9
605 Large Male Short 175 104
606 Average Female Long 169 52.3
607 Average Female Short 166 52.5
608 Slim Male Short 175 43.9
609 Average Male Short 178 68.5
610 Average Male Short 179 69.1
611 Large Female Medium 151 66.3
612 Large Female Medium 161 81
613 Slim Female Long 170 33.7
614 Large Female Short 170 94.1
615 Slim Male Short 177 46.2
616 Average Male Short 171 66
617 Large Female Medium 171 84.9
618 Large Female Long 170 92.8
619 Large Male Short 190 119
620 Large Female Medium 165 83.3
621 Large Female Long 154 71.6
622 Large Male Short 179 112
623 Slim Female Long 165 28.7
624 Large Male Short 166 99.5
625 Large Female Long 166 78.2
626 Slim Female Long 166 34.3
627 Average Male Short 175 67.8
628 Average Male Short 178 68.7
629 Large Female Long 147 62.2
630 Large Male Short 178 115
631 Large Male Short 183 114
632 Large Male Medium 178 118
633 Large Male Short 176 108
634 Average Male Short 171 68.3
635 Large Female Long 156 70.3
636 Average Male Short 173 66.7
637 Large Female Medium 156 71.6
638 Large Male Medium 179 106
639 Large Female Medium 178 94.7
640 Large Female Medium 157 79.9
641 Average Male Short 187 74.1
642 Large Female Long 162 69.8
643 Large Male Medium 173 109
644 Large Female Medium 158 75.5
645 Large Male Short 180 117
646 Large Male Short 172 96.5
647 Slim Male Short 178 44.7
648 Large Male Short 182 117
649 Large Male Short 179 112
650 Large Male Short 175 111
651 Average Male Medium 196 85.5
652 Large Male Medium 180 115
653 Average Female Long 157 43.3
654 Average Male Short 178 75.8
655 Large Female Long 162 76.3
656 Average Male Medium 178 67.9
657 Slim Male Short 162 37.2
658 Slim Female Medium 161 28.1
659 Slim Male Short 173 45.9
660 Large Female Medium 159 85.7
661 Large Male Short 171 96.8
662 Average Male Short 177 71.9
663 Slim Female Long 163 35.5
664 Slim Male Medium 175 42.6
665 Large Female Medium 151 69.1
666 Average Female Medium 159 49.4
667 Slim Male Short 174 38.6
668 Slim Female Long 166 27.7
669 Average Female Long 154 42.5
670 Slim Male Short 180 48.5
671 Average Female Long 161 47.5
672 Large Female Short 169 95
673 Large Female Medium 159 73.6
674 Average Male Short 168 58.2
675 Large Female Medium 163 84.1
676 Average Female Medium 167 54.5
677 Average Male Short 183 81.1
678 Large Male Short 181 107
679 Slim Female Long 160 24.1
680 Average Male Short 176 67.2
681 Large Female Medium 163 74.6
682 Average Female Medium 168 60.2
683 Slim Female Long 164 30.7
684 Average Female Short 150 46.7
685 Large Male Short 161 96.8
686 Large Female Long 169 87.9
687 Large Female Long 172 94.8
688 Large Female Medium 175 91.5
689 Large Female Long 162 67.7
690 Average Male Short 173 61.9
691 Large Male Short 175 110
692 Large Female Long 167 85.9
693 Large Male Short 179 115
694 Slim Male Short 168 41.1
695 Average Female Long 165 54.4
696 Large Female Long 153 68.2
697 Average Female Short 161 49
698 Slim Male Short 178 47.6
699 Average Female Medium 159 57.7
700 Large Male Short 179 113
701 Large Male Short 165 87.9
702 Average Female Long 160 58.7
703 Average Female Long 169 57.9
704 Large Female Medium 168 94.3
705 Average Male Short 184 77.5
706 Average Female Long 169 51.7
707 Large Male Short 166 88.7
708 Large Female Long 166 85.3
709 Large Female Medium 158 73.9
710 Large Female Short 166 77.3
711 Average Female Medium 162 48.1
712 Slim Male Short 178 42
713 Average Male Short 178 70.3
714 Average Male Short 184 80.8
715 Slim Male Medium 168 44
716 Average Male Short 174 71
717 Large Female Medium 160 75.1
718 Large Male Medium 167 108
719 Large Male Long 176 104
720 Large Male Short 176 100
721 Large Male Short 170 98.8
722 Average Male Short 182 74.6
723 Large Female Long 166 78.4
724 Large Female Long 150 55
725 Slim Female Long 154 33.4
726 Average Male Medium 160 62.7
727 Large Male Short 177 108
728 Large Male Short 192 133
729 Slim Male Medium 173 43.5
730 Large Male Short 170 104
731 Average Male Short 190 75.6
732 Large Male Medium 172 100
733 Large Male Short 180 108
734 Large Female Long 162 73.5
735 Average Female Long 157 43
736 Average Female Medium 161 52.3
737 Large Female Long 172 98.9
738 Average Male Short 170 72.5
739 Average Female Medium 167 53.9
740 Large Female Long 154 68.4
741 Large Female Medium 163 81
742 Large Male Short 180 116
743 Average Male Short 189 80
744 Large Female Medium 175 97.2
745 Large Female Long 162 81.9
746 Large Male Short 167 99.4
747 Large Female Medium 164 84.2
748 Large Male Short 174 115
749 Slim Male Short 174 44.5
750 Average Male Medium 175 75.2
751 Slim Female Long 167 31.7
752 Average Male Short 181 68.1
753 Large Female Long 167 80.6
754 Large Female Medium 160 75.2
755 Slim Female Long 166 26.6
756 Large Male Short 170 104
757 Large Male Short 184 121
758 Large Male Short 163 96.6
759 Large Male Short 166 90.8
760 Average Male Short 169 59.2
761 Large Male Short 168 97.8
762 Large Male Short 184 115
763 Average Male Short 169 63.8
764 Average Male Medium 182 82.7
765 Large Female Medium 152 65
766 Average Male Long 193 81
767 Slim Male Short 177 42.9
768 Average Female Short 161 51.4
769 Large Male Short 171 102
770 Large Male Short 172 98.8
771 Average Male Short 178 69.8
772 Average Female Long 176 59.6
773 Average Male Short 178 67.1
774 Large Male Short 178 107
775 Slim Female Long 164 29.3
776 Large Female Long 173 94.6
777 Slim Male Medium 180 48.4
778 Large Female Long 164 79.1
779 Large Female Long 158 72.3
780 Average Male Short 174 72.2
781 Average Male Medium 176 69
782 Average Male Medium 186 78.5
783 Average Female Long 162 55.1
784 Large Female Long 166 83.1
785 Large Female Medium 150 58.3
786 Slim Male Medium 174 43.8
787 Average Female Long 156 47.9
788 Large Male Short 168 99.5
789 Large Female Medium 171 90.5
790 Large Female Long 156 80.1
791 Large Female Long 163 91
792 Large Male Short 172 100
793 Average Male Short 171 62.3
794 Large Female Long 156 63.2
795 Average Female Long 161 53.3
796 Large Male Short 180 110
797 Large Male Short 175 101
798 Large Male Short 193 135
799 Large Male Short 177 109
800 Large Female Long 159 70
801 Average Male Short 175 70.6
802 Large Female Long 164 84.3
803 Large Male Medium 177 113
804 Large Male Medium 182 123
805 Large Female Medium 167 85.9
806 Large Female Medium 155 65.6
807 Large Female Long 152 72.7
808 Large Female Medium 170 91.9
809 Slim Male Short 168 43
810 Average Male Short 183 76.4
811 Large Female Long 160 87.7
812 Large Male Long 157 91.7
813 Average Female Long 177 59.9
814 Average Male Medium 194 76.9
815 Average Male Short 166 57.8
816 Large Male Short 178 114
817 Average Female Long 164 58.1
818 Slim Male Short 182 52.2
819 Slim Male Short 172 46.3
820 Large Female Long 151 70.8
821 Large Female Long 169 79.4
822 Large Female Medium 153 63.6
823 Large Male Short 178 119
824 Average Male Short 174 67.5
825 Slim Female Long 162 25.9
826 Average Male Medium 184 76.3
827 Large Female Medium 148 64.7
828 Average Female Long 149 35.7
829 Average Female Long 177 65.5
830 Average Female Long 167 54.1
831 Average Male Short 180 72.2
832 Average Male Short 177 71.3
833 Average Female Medium 159 47.3
834 Large Male Short 183 116
835 Large Male Medium 176 106
836 Large Female Long 157 75.4
837 Average Female Short 154 41.3
838 Slim Female Long 165 29.5
839 Average Female Medium 157 47.7
840 Large Female Long 171 96.3
841 Large Female Long 155 69.9
842 Slim Male Short 170 42.1
843 Average Male Short 184 75.2
844 Large Female Long 156 80
845 Average Male Short 178 70.4
846 Large Male Short 179 119
847 Large Female Long 160 88
848 Average Female Long 152 44.3
849 Average Male Short 181 70.1
850 Slim Female Short 153 25.1
851 Large Male Short 161 81.7
852 Large Male Short 171 102
853 Slim Female Long 169 39.3
854 Average Male Short 181 71.2
855 Large Male Short 191 126
856 Slim Male Short 174 44
857 Average Male Short 168 56.4
858 Slim Male Short 165 40.3
859 Slim Female Long 161 24.8
860 Large Male Medium 174 101
861 Large Male Short 179 98.6
862 Average Male Short 173 73.1
863 Average Female Short 159 53.9
864 Average Female Long 156 42.2
865 Slim Male Short 182 49.7
866 Large Female Medium 161 89.4
867 Slim Male Short 179 45
868 Average Female Long 159 42.2
869 Large Male Short 183 117
870 Average Male Short 163 63.4
871 Slim Female Medium 165 29.1
872 Slim Female Medium 148 21.8
873 Average Female Long 154 44.9
874 Slim Male Short 181 48.8
875 Large Female Medium 169 82.9
876 Large Male Long 180 117
877 Large Female Medium 167 82.1
878 Average Male Medium 177 74.9
879 Average Female Long 164 48.1
880 Average Female Medium 159 49.3
881 Large Male Short 184 130
882 Large Female Long 161 77.3
883 Large Female Short 159 70.9
884 Large Female Long 163 82.8
885 Large Female Long 159 68.8
886 Large Female Long 151 53.6
887 Large Female Medium 164 77.5
888 Average Male Short 179 72.9
889 Large Male Short 174 107
890 Slim Male Short 180 42.2
891 Slim Male Short 179 47
892 Large Female Long 165 83.3
893 Average Female Medium 162 51.3
894 Large Female Long 157 66.3
895 Average Male Short 178 70.5
896 Average Male Medium 168 61.7
897 Average Female Long 163 52.6
898 Average Female Medium 152 45.6
899 Average Female Long 180 70.8
900 Average Male Medium 168 66.5
901 Slim Male Short 185 52.9
902 Average Female Long 153 37
903 Average Female Long 170 50.4
904 Slim Female Medium 159 27
905 Large Male Short 181 119
906 Slim Male Medium 175 45.9
907 Slim Female Long 159 25.4
908 Average Female Long 167 56.4
909 Average Male Medium 181 74.2
910 Large Female Medium 173 94.2
911 Large Female Long 157 70.9
912 Average Female Long 169 56.1
913 Average Female Long 160 50.8
914 Large Male Short 177 113
915 Large Female Long 169 89
916 Slim Female Long 161 27.2
917 Average Female Medium 159 44.6
918 Large Male Short 187 131
919 Average Male Short 182 74.7
920 Average Female Medium 160 53
921 Average Female Short 166 56.7
922 Average Female Long 162 48.1
923 Large Female Long 154 72
924 Large Male Short 177 108
925 Average Female Short 160 52.1
926 Large Female Medium 154 69.5
927 Slim Female Long 163 29.2
928 Slim Female Medium 168 32.1
929 Large Male Medium 181 117
930 Large Male Short 173 106
931 Large Male Short 169 92.3
932 Average Male Short 182 67
933 Large Female Long 162 80.5
934 Average Male Short 176 68.1
935 Average Male Short 167 59.4
936 Large Female Medium 165 81.7
937 Slim Female Medium 159 31
938 Slim Male Short 168 41
939 Average Male Medium 174 72.6
940 Large Female Medium 152 69.2
941 Large Male Short 194 133
942 Large Female Long 166 82.1
943 Average Male Short 170 61.5
944 Large Male Short 183 111
945 Large Female Medium 151 69.4
946 Average Male Short 164 56.4
947 Large Male Short 176 102
948 Large Male Medium 155 75.1
949 Large Female Medium 157 74.2
950 Slim Female Medium 161 30.1
951 Average Male Short 170 70
952 Large Female Medium 170 84.2
953 Large Female Medium 166 90.7
954 Large Female Medium 160 78.8
955 Large Male Medium 175 111
956 Slim Female Long 169 30.2
957 Average Female Medium 159 44.9
958 Slim Female Medium 161 27.4
959 Large Female Short 164 78.4
960 Average Female Long 159 50.2
961 Average Female Long 168 55.9
962 Average Male Short 190 81.4
963 Slim Female Long 167 31.8
964 Large Female Short 172 99.6
965 Large Male Short 174 106
966 Average Male Short 158 54.4
967 Large Female Long 155 64.8
968 Average Male Short 179 73.6
969 Slim Female Long 177 35.3
970 Large Female Long 163 78.6
971 Slim Male Short 178 46.4
972 Large Male Short 177 108
973 Average Female Long 169 57
974 Slim Male Short 165 44.3
975 Large Male Short 189 125
976 Average Female Long 158 46.9
977 Average Male Short 167 59.6
978 Large Female Long 153 68.4
979 Large Male Short 179 109
980 Large Female Long 150 58.1
981 Slim Male Short 179 46.4
982 Slim Female Long 151 27.5
983 Slim Female Long 156 26
984 Slim Female Long 164 27.8
985 Large Female Long 157 68
986 Average Male Medium 180 79.5
987 Average Male Medium 182 74.7
988 Large Female Long 159 70.8
989 Large Male Short 174 123
990 Large Female Long 169 86.9
991 Slim Female Long 149 25
992 Average Female Long 165 53.7
993 Large Male Short 166 94.3
994 Large Female Long 151 63.9
995 Large Female Long 167 91.8
996 Average Male Short 174 70.4
997 Large Male Short 183 118
998 Slim Male Short 181 38.6
999 Average Male Short 180 78.4