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HISTOGRAM Statement

Example 4.5: Computing Kernel Density Estimates

See CAPKERN1 in the SAS/QC Sample Library

This example illustrates the use of kernel density estimates to visualize a nonnormal data distribution.

The effective channel length (in microns) is measured for 1225 field effect transistors. The channel lengths are saved as values of the variable LENGTH in a SAS data set named CHANNEL, which is listed in Output 4.5.1.

Output 4.5.1: Listing of the Data Set CHANNEL
 
Obs lot length
1 Lot 1 0.90979
2 Lot 1 1.01131
3 Lot 1 0.95001
4 Lot 1 1.12591
5 Lot 1 1.11707
6 Lot 1 0.86177
7 Lot 1 0.96033
8 Lot 1 1.16649
9 Lot 1 1.35797
10 Lot 1 1.09681
11 Lot 1 0.97602
12 Lot 1 1.26500
13 Lot 1 1.13444
14 Lot 1 0.91729
15 Lot 1 1.15434
16 Lot 1 1.25959
17 Lot 1 1.13754
18 Lot 1 0.87769
19 Lot 1 1.03130
20 Lot 1 0.99712
21 Lot 1 0.98050
22 Lot 1 0.93593
23 Lot 1 1.08512
24 Lot 1 0.92129
25 Lot 1 1.10469
26 Lot 1 0.95327
27 Lot 1 1.05129
28 Lot 1 1.05454
29 Lot 1 1.10640
30 Lot 1 1.14658
31 Lot 1 1.10567
32 Lot 1 0.98077
33 Lot 1 0.78236
34 Lot 1 1.09195
35 Lot 1 0.93934
36 Lot 1 1.05026
37 Lot 1 0.88937
38 Lot 1 1.15862
39 Lot 1 0.88343
40 Lot 1 1.18761
41 Lot 1 1.01395
42 Lot 1 1.07662
43 Lot 1 1.19283
44 Lot 1 0.93812
45 Lot 1 0.91787
46 Lot 1 1.27319
47 Lot 1 0.89531
48 Lot 1 0.88314
49 Lot 1 1.38409
50 Lot 1 1.01772
51 Lot 1 1.20846
52 Lot 1 0.99255
53 Lot 1 1.18584
54 Lot 1 1.04670
55 Lot 1 0.94903
56 Lot 1 0.91649
57 Lot 1 1.06414
58 Lot 1 1.02590
59 Lot 1 0.76347
60 Lot 1 1.04137
61 Lot 1 0.83941
62 Lot 1 0.92541
63 Lot 1 0.96196
64 Lot 1 1.22955
65 Lot 1 1.06435
66 Lot 1 1.20224
67 Lot 1 0.94027
68 Lot 1 0.73949
69 Lot 1 0.79885
70 Lot 1 1.00476
71 Lot 1 1.00044
72 Lot 1 0.97440
73 Lot 1 0.94463
74 Lot 1 1.04559
75 Lot 1 1.08990
76 Lot 1 1.07435
77 Lot 1 0.79486
78 Lot 1 1.05719
79 Lot 1 0.95656
80 Lot 1 0.99786
81 Lot 1 1.07365
82 Lot 1 0.98242
83 Lot 1 1.26055
84 Lot 1 0.99496
85 Lot 1 1.11533
86 Lot 1 0.99465
87 Lot 1 1.04984
88 Lot 1 1.12190
89 Lot 1 0.85401
90 Lot 1 0.96154
91 Lot 1 1.00634
92 Lot 1 1.21030
93 Lot 1 0.94576
94 Lot 1 0.86175
95 Lot 1 0.86349
96 Lot 1 1.19323
97 Lot 1 1.24397
98 Lot 1 0.75017
99 Lot 1 1.02780
100 Lot 1 0.83542
101 Lot 1 0.92975
102 Lot 1 0.65491
103 Lot 1 0.83883
104 Lot 1 0.91684
105 Lot 1 0.85805
106 Lot 1 1.06769
107 Lot 1 1.05093
108 Lot 1 0.95468
109 Lot 1 1.04914
110 Lot 1 1.09557
111 Lot 1 0.92769
112 Lot 1 1.02851
113 Lot 1 0.93610
114 Lot 1 0.96827
115 Lot 1 0.95367
116 Lot 1 0.98604
117 Lot 1 0.97126
118 Lot 1 0.80981
119 Lot 1 1.09652
120 Lot 1 0.94540
121 Lot 1 1.07633
122 Lot 1 0.74692
123 Lot 1 0.97256
124 Lot 1 0.94370
125 Lot 1 0.95241
126 Lot 1 0.85323
127 Lot 1 1.01972
128 Lot 1 1.07146
129 Lot 1 1.11171
130 Lot 1 1.02304
131 Lot 1 1.16495
132 Lot 1 1.05230
133 Lot 1 0.88050
134 Lot 1 1.28575
135 Lot 1 0.98845
136 Lot 1 0.82599
137 Lot 1 1.05933
138 Lot 1 1.05153
139 Lot 1 1.03027
140 Lot 1 1.14623
141 Lot 1 1.14471
142 Lot 1 0.90808
143 Lot 1 1.16539
144 Lot 1 1.17006
145 Lot 1 0.70138
146 Lot 1 0.83727
147 Lot 1 1.33099
148 Lot 1 0.94857
149 Lot 1 1.34411
150 Lot 1 1.13825
151 Lot 1 1.07542
152 Lot 1 1.28387
153 Lot 1 1.14463
154 Lot 1 0.84028
155 Lot 1 1.09187
156 Lot 1 1.12012
157 Lot 1 0.98783
158 Lot 1 1.07907
159 Lot 1 0.94953
160 Lot 1 1.12399
161 Lot 1 0.70385
162 Lot 1 1.06714
163 Lot 1 1.05661
164 Lot 1 1.24158
165 Lot 1 1.17275
166 Lot 1 0.96379
167 Lot 1 0.99720
168 Lot 1 0.84684
169 Lot 1 1.24975
170 Lot 1 0.83577
171 Lot 1 1.00485
172 Lot 1 1.01232
173 Lot 1 1.07816
174 Lot 1 1.07826
175 Lot 1 0.75204
176 Lot 1 1.05583
177 Lot 1 1.08896
178 Lot 1 0.85838
179 Lot 1 1.08348
180 Lot 1 1.11194
181 Lot 1 1.19375
182 Lot 1 1.25231
183 Lot 1 0.93810
184 Lot 1 0.97478
185 Lot 1 0.81463
186 Lot 1 0.91242
187 Lot 1 0.98654
188 Lot 1 0.94012
189 Lot 1 0.93675
190 Lot 1 1.11673
191 Lot 1 1.09752
192 Lot 1 0.82201
193 Lot 1 1.17243
194 Lot 1 0.88768
195 Lot 1 0.75079
196 Lot 1 0.83893
197 Lot 1 1.10437
198 Lot 1 0.92946
199 Lot 1 1.11194
200 Lot 1 1.07171
201 Lot 1 1.20350
202 Lot 1 1.21571
203 Lot 1 0.89598
204 Lot 1 1.01179
205 Lot 1 1.17060
206 Lot 1 0.96737
207 Lot 1 1.02209
208 Lot 1 0.76893
209 Lot 1 1.06975
210 Lot 1 0.87381
211 Lot 1 0.95976
212 Lot 1 1.20618
213 Lot 1 1.03706
214 Lot 1 0.89437
215 Lot 1 0.95321
216 Lot 1 0.85936
217 Lot 1 0.84061
218 Lot 1 1.02768
219 Lot 1 1.26136
220 Lot 1 0.70513
221 Lot 1 0.75057
222 Lot 1 1.33935
223 Lot 1 1.13731
224 Lot 1 1.09122
225 Lot 1 0.84739
226 Lot 1 0.68137
227 Lot 1 0.78606
228 Lot 1 1.06280
229 Lot 1 1.11787
230 Lot 1 1.10281
231 Lot 1 0.97802
232 Lot 1 1.11284
233 Lot 1 0.98248
234 Lot 1 0.85640
235 Lot 1 1.14536
236 Lot 1 0.88695
237 Lot 1 1.21080
238 Lot 1 0.79486
239 Lot 1 1.30911
240 Lot 1 0.83619
241 Lot 1 1.05010
242 Lot 1 0.89361
243 Lot 1 1.00572
244 Lot 1 0.81181
245 Lot 1 1.09876
246 Lot 1 1.03840
247 Lot 1 1.07478
248 Lot 1 1.02371
249 Lot 1 0.91112
250 Lot 1 0.99670
251 Lot 1 0.98025
252 Lot 1 0.95423
253 Lot 1 0.82454
254 Lot 1 1.11052
255 Lot 1 1.07009
256 Lot 1 1.07147
257 Lot 1 0.88639
258 Lot 1 1.14676
259 Lot 1 1.04031
260 Lot 1 1.18713
261 Lot 1 1.06815
262 Lot 1 1.02658
263 Lot 1 1.03643
264 Lot 1 0.80820
265 Lot 1 0.92839
266 Lot 1 1.06273
267 Lot 1 0.92186
268 Lot 1 1.28990
269 Lot 1 1.04487
270 Lot 1 0.99306
271 Lot 1 0.86009
272 Lot 1 0.84260
273 Lot 1 1.21870
274 Lot 1 1.09425
275 Lot 1 1.13851
276 Lot 1 0.76016
277 Lot 1 0.85859
278 Lot 1 0.96271
279 Lot 1 1.07202
280 Lot 1 1.21126
281 Lot 1 0.92513
282 Lot 1 1.06928
283 Lot 1 1.12546
284 Lot 1 0.95251
285 Lot 1 0.92197
286 Lot 1 1.01062
287 Lot 1 1.00520
288 Lot 1 1.16058
289 Lot 1 1.23882
290 Lot 1 0.82078
291 Lot 1 1.02657
292 Lot 1 1.30588
293 Lot 1 0.78992
294 Lot 1 1.13878
295 Lot 1 1.14559
296 Lot 1 0.97329
297 Lot 1 0.82309
298 Lot 1 1.10049
299 Lot 1 1.05913
300 Lot 1 0.99631
301 Lot 1 0.58167
302 Lot 1 0.78721
303 Lot 1 1.07577
304 Lot 1 1.05847
305 Lot 1 1.06271
306 Lot 1 1.14389
307 Lot 1 1.09169
308 Lot 1 1.01135
309 Lot 1 0.87350
310 Lot 1 0.97397
311 Lot 1 1.08476
312 Lot 1 1.03201
313 Lot 1 1.07765
314 Lot 1 0.91985
315 Lot 1 1.26156
316 Lot 1 0.74085
317 Lot 1 0.97648
318 Lot 1 0.93587
319 Lot 1 0.83761
320 Lot 1 1.07228
321 Lot 1 1.03766
322 Lot 1 0.93282
323 Lot 1 0.89511
324 Lot 1 0.83302
325 Lot 1 0.90759
326 Lot 1 1.14941
327 Lot 1 1.00402
328 Lot 1 0.85776
329 Lot 1 0.87176
330 Lot 1 0.75069
331 Lot 1 1.19017
332 Lot 1 1.13348
333 Lot 1 1.13666
334 Lot 1 0.77605
335 Lot 1 1.02861
336 Lot 1 0.94962
337 Lot 1 0.77490
338 Lot 1 0.89101
339 Lot 1 0.90023
340 Lot 1 0.95937
341 Lot 1 0.95409
342 Lot 1 1.08104
343 Lot 1 1.02915
344 Lot 1 0.97582
345 Lot 1 0.99706
346 Lot 1 0.86439
347 Lot 1 1.16442
348 Lot 1 1.05256
349 Lot 1 0.96856
350 Lot 1 0.91336
351 Lot 1 1.06171
352 Lot 1 1.11631
353 Lot 1 0.97325
354 Lot 1 1.03320
355 Lot 1 0.88019
356 Lot 1 1.02235
357 Lot 1 0.98498
358 Lot 1 0.95237
359 Lot 1 0.86023
360 Lot 1 1.13776
361 Lot 1 1.14509
362 Lot 1 1.26388
363 Lot 1 0.83942
364 Lot 1 0.81729
365 Lot 1 0.91473
366 Lot 1 1.02040
367 Lot 1 0.96172
368 Lot 1 0.94632
369 Lot 1 1.16828
370 Lot 1 1.02819
371 Lot 1 0.88889
372 Lot 1 1.07404
373 Lot 1 1.05563
374 Lot 1 1.08772
375 Lot 1 0.95101
376 Lot 1 0.98731
377 Lot 1 1.37613
378 Lot 1 1.10483
379 Lot 1 0.87914
380 Lot 1 1.05345
381 Lot 1 1.17747
382 Lot 1 0.92557
383 Lot 1 1.14113
384 Lot 1 0.85962
385 Lot 1 1.24439
386 Lot 1 0.96871
387 Lot 1 1.03666
388 Lot 1 1.12320
389 Lot 1 1.09931
390 Lot 1 1.13728
391 Lot 1 1.22156
392 Lot 1 0.88668
393 Lot 1 0.93462
394 Lot 1 1.30317
395 Lot 1 0.92770
396 Lot 1 0.99883
397 Lot 1 1.06286
398 Lot 1 0.92223
399 Lot 1 1.25947
400 Lot 1 0.75494
401 Lot 1 1.23728
402 Lot 1 1.16820
403 Lot 1 1.09464
404 Lot 1 1.06317
405 Lot 1 0.78486
406 Lot 1 0.94798
407 Lot 1 0.96959
408 Lot 1 0.90050
409 Lot 1 0.98024
410 Lot 1 0.87796
411 Lot 1 0.87050
412 Lot 1 1.00332
413 Lot 1 0.83485
414 Lot 1 1.10919
415 Lot 1 1.15233
416 Lot 1 1.19583
417 Lot 1 1.21448
418 Lot 1 1.00274
419 Lot 1 0.95384
420 Lot 1 0.81624
421 Lot 1 1.15935
422 Lot 1 0.80069
423 Lot 1 0.99298
424 Lot 1 0.89302
425 Lot 1 1.16733
426 Lot 2 1.47311
427 Lot 2 1.47378
428 Lot 2 1.37084
429 Lot 2 1.45776
430 Lot 2 1.37604
431 Lot 2 1.44098
432 Lot 2 1.48916
433 Lot 2 1.41008
434 Lot 2 1.58153
435 Lot 2 1.50578
436 Lot 2 1.34393
437 Lot 2 1.30833
438 Lot 2 1.40812
439 Lot 2 1.53495
440 Lot 2 1.64652
441 Lot 2 1.27827
442 Lot 2 1.65530
443 Lot 2 1.62507
444 Lot 2 1.57813
445 Lot 2 1.41918
446 Lot 2 1.60624
447 Lot 2 1.61938
448 Lot 2 1.71623
449 Lot 2 1.48242
450 Lot 2 1.44491
451 Lot 2 1.45570
452 Lot 2 1.55329
453 Lot 2 1.43074
454 Lot 2 1.48977
455 Lot 2 1.54205
456 Lot 2 1.54611
457 Lot 2 1.45623
458 Lot 2 1.36377
459 Lot 2 1.54879
460 Lot 2 1.38848
461 Lot 2 1.65625
462 Lot 2 1.65400
463 Lot 2 1.50411
464 Lot 2 1.61424
465 Lot 2 1.64734
466 Lot 2 1.41052
467 Lot 2 1.45566
468 Lot 2 1.54403
469 Lot 2 1.35005
470 Lot 2 1.60132
471 Lot 2 1.43309
472 Lot 2 1.35735
473 Lot 2 1.31913
474 Lot 2 1.45451
475 Lot 2 1.28999
476 Lot 2 1.54343
477 Lot 2 1.38419
478 Lot 2 1.43404
479 Lot 2 1.43295
480 Lot 2 1.46571
481 Lot 2 1.56659
482 Lot 2 1.49731
483 Lot 2 1.38164
484 Lot 2 1.79790
485 Lot 2 1.49774
486 Lot 2 1.26602
487 Lot 2 1.46852
488 Lot 2 1.33706
489 Lot 2 1.61825
490 Lot 2 1.47046
491 Lot 2 1.32831
492 Lot 2 1.52918
493 Lot 2 1.23784
494 Lot 2 1.73236
495 Lot 2 1.37473
496 Lot 2 1.53700
497 Lot 2 1.29003
498 Lot 2 1.48763
499 Lot 2 1.30551
500 Lot 2 1.60653
501 Lot 2 1.48433
502 Lot 2 1.36471
503 Lot 2 1.63190
504 Lot 2 1.59147
505 Lot 2 1.54531
506 Lot 2 1.50954
507 Lot 2 1.62686
508 Lot 2 1.50484
509 Lot 2 1.48394
510 Lot 2 1.44807
511 Lot 2 1.42326
512 Lot 2 1.58195
513 Lot 2 1.56949
514 Lot 2 1.64320
515 Lot 2 1.59578
516 Lot 2 1.37527
517 Lot 2 1.52312
518 Lot 2 1.49760
519 Lot 2 1.46567
520 Lot 2 1.49738
521 Lot 2 1.56914
522 Lot 2 1.43669
523 Lot 2 1.32954
524 Lot 2 1.54257
525 Lot 2 1.48797
526 Lot 2 1.45981
527 Lot 2 1.58808
528 Lot 2 1.49669
529 Lot 2 1.66566
530 Lot 2 1.54797
531 Lot 2 1.68836
532 Lot 2 1.60706
533 Lot 2 1.34787
534 Lot 2 1.90138
535 Lot 2 1.67119
536 Lot 2 1.65648
537 Lot 2 1.24417
538 Lot 2 1.48168
539 Lot 2 1.43169
540 Lot 2 1.54324
541 Lot 2 1.42634
542 Lot 2 1.45135
543 Lot 2 1.50635
544 Lot 2 1.55570
545 Lot 2 1.58583
546 Lot 2 1.52167
547 Lot 2 1.49809
548 Lot 2 1.54848
549 Lot 2 1.49417
550 Lot 2 1.33012
551 Lot 2 1.57136
552 Lot 2 1.48511
553 Lot 2 1.39433
554 Lot 2 1.61783
555 Lot 2 1.45626
556 Lot 2 1.57379
557 Lot 2 1.52895
558 Lot 2 1.53779
559 Lot 2 1.78524
560 Lot 2 1.43078
561 Lot 2 1.64584
562 Lot 2 1.44497
563 Lot 2 1.33850
564 Lot 2 1.43922
565 Lot 2 1.38815
566 Lot 2 1.54659
567 Lot 2 1.63583
568 Lot 2 1.67751
569 Lot 2 1.35324
570 Lot 2 1.58295
571 Lot 2 1.81766
572 Lot 2 1.30772
573 Lot 2 1.31634
574 Lot 2 1.47960
575 Lot 2 1.44478
576 Lot 2 1.69606
577 Lot 2 1.45339
578 Lot 2 1.52202
579 Lot 2 1.35534
580 Lot 2 1.56046
581 Lot 2 1.61808
582 Lot 2 1.72785
583 Lot 2 1.53807
584 Lot 2 1.84108
585 Lot 2 1.34975
586 Lot 2 1.37743
587 Lot 2 1.73260
588 Lot 2 1.59806
589 Lot 2 1.46346
590 Lot 2 1.82014
591 Lot 2 1.48668
592 Lot 2 1.63524
593 Lot 2 1.68510
594 Lot 2 1.32401
595 Lot 2 1.35924
596 Lot 2 1.34219
597 Lot 2 1.33713
598 Lot 2 1.50268
599 Lot 2 1.70776
600 Lot 2 1.37963
601 Lot 2 1.40600
602 Lot 2 1.54938
603 Lot 2 1.37180
604 Lot 2 1.41624
605 Lot 2 1.52192
606 Lot 2 1.31297
607 Lot 2 1.17108
608 Lot 2 1.64865
609 Lot 2 1.45247
610 Lot 2 1.66487
611 Lot 2 1.53230
612 Lot 2 1.55120
613 Lot 2 1.38835
614 Lot 2 1.51061
615 Lot 2 1.42387
616 Lot 2 1.41539
617 Lot 2 1.59116
618 Lot 2 1.38320
619 Lot 2 1.59402
620 Lot 2 1.59106
621 Lot 2 1.58796
622 Lot 2 1.74233
623 Lot 2 1.57344
624 Lot 2 1.70301
625 Lot 2 1.43151
626 Lot 2 1.35495
627 Lot 2 1.35561
628 Lot 2 1.28954
629 Lot 2 1.53931
630 Lot 2 1.53672
631 Lot 2 1.19019
632 Lot 2 1.41069
633 Lot 2 1.35311
634 Lot 2 1.65804
635 Lot 2 1.41535
636 Lot 2 1.27464
637 Lot 2 1.25408
638 Lot 2 1.56758
639 Lot 2 1.42142
640 Lot 2 1.55744
641 Lot 2 1.61292
642 Lot 2 1.41969
643 Lot 2 1.66090
644 Lot 2 1.55590
645 Lot 2 1.65976
646 Lot 2 1.71899
647 Lot 2 1.32058
648 Lot 2 1.47373
649 Lot 2 1.29542
650 Lot 2 1.36759
651 Lot 2 1.72261
652 Lot 2 1.30517
653 Lot 2 1.44459
654 Lot 2 1.61234
655 Lot 2 1.65767
656 Lot 2 1.44459
657 Lot 2 1.42745
658 Lot 2 1.47802
659 Lot 2 1.75430
660 Lot 2 1.52337
661 Lot 2 1.61418
662 Lot 2 1.38014
663 Lot 2 1.58235
664 Lot 2 1.41702
665 Lot 2 1.28674
666 Lot 2 1.46387
667 Lot 2 1.46477
668 Lot 2 1.54026
669 Lot 2 1.52889
670 Lot 2 1.50646
671 Lot 2 1.53052
672 Lot 2 1.70727
673 Lot 2 1.49950
674 Lot 2 1.39294
675 Lot 2 1.36742
676 Lot 2 1.31805
677 Lot 2 1.54019
678 Lot 2 1.31095
679 Lot 2 1.43970
680 Lot 2 1.50818
681 Lot 2 1.42585
682 Lot 2 1.38156
683 Lot 2 1.54966
684 Lot 2 1.46781
685 Lot 2 1.62361
686 Lot 2 1.50676
687 Lot 2 1.54552
688 Lot 2 1.45274
689 Lot 2 1.45830
690 Lot 2 1.47613
691 Lot 2 1.49769
692 Lot 2 1.38806
693 Lot 2 1.40342
694 Lot 2 1.14409
695 Lot 2 1.41095
696 Lot 2 1.59593
697 Lot 2 1.22509
698 Lot 2 1.51492
699 Lot 2 1.56627
700 Lot 2 1.46945
701 Lot 2 1.56167
702 Lot 2 1.43441
703 Lot 2 1.78195
704 Lot 2 1.47754
705 Lot 2 1.24751
706 Lot 2 1.45636
707 Lot 2 1.53501
708 Lot 2 1.47189
709 Lot 2 1.20527
710 Lot 2 1.41246
711 Lot 2 1.54389
712 Lot 2 1.66847
713 Lot 2 1.79702
714 Lot 2 1.49514
715 Lot 2 1.67578
716 Lot 2 1.46302
717 Lot 2 1.66952
718 Lot 2 1.34817
719 Lot 2 1.57949
720 Lot 2 1.60327
721 Lot 2 1.48056
722 Lot 2 1.52580
723 Lot 2 1.57490
724 Lot 2 1.24903
725 Lot 2 1.56475
726 Lot 2 1.32832
727 Lot 2 1.39252
728 Lot 2 1.47083
729 Lot 2 1.34095
730 Lot 2 1.40270
731 Lot 2 1.41603
732 Lot 2 1.54966
733 Lot 2 1.24927
734 Lot 2 1.62829
735 Lot 2 1.36251
736 Lot 2 1.33094
737 Lot 2 1.55609
738 Lot 2 1.33021
739 Lot 2 1.48687
740 Lot 2 1.39493
741 Lot 2 1.52113
742 Lot 2 1.52397
743 Lot 2 1.00937
744 Lot 2 1.29215
745 Lot 2 1.42786
746 Lot 2 1.41809
747 Lot 2 1.61111
748 Lot 2 1.52887
749 Lot 2 1.32184
750 Lot 2 1.61972
751 Lot 2 1.23627
752 Lot 2 1.39387
753 Lot 2 1.61852
754 Lot 2 1.53792
755 Lot 2 1.46759
756 Lot 2 1.52640
757 Lot 2 1.56763
758 Lot 2 1.52088
759 Lot 2 1.45015
760 Lot 2 1.24149
761 Lot 2 1.50208
762 Lot 2 1.47015
763 Lot 2 1.45432
764 Lot 2 1.77834
765 Lot 2 1.63856
766 Lot 2 1.42169
767 Lot 2 1.32376
768 Lot 2 1.63391
769 Lot 2 1.39325
770 Lot 2 1.72380
771 Lot 2 1.54790
772 Lot 2 1.45768
773 Lot 2 1.32716
774 Lot 2 1.37573
775 Lot 2 1.39244
776 Lot 2 1.52063
777 Lot 2 1.51445
778 Lot 2 1.59107
779 Lot 2 1.48473
780 Lot 2 1.20472
781 Lot 2 1.16401
782 Lot 2 1.41484
783 Lot 2 1.55454
784 Lot 2 1.34961
785 Lot 2 1.66510
786 Lot 2 1.40634
787 Lot 2 1.46409
788 Lot 2 1.25743
789 Lot 2 1.43833
790 Lot 2 1.42760
791 Lot 2 1.71957
792 Lot 2 1.61184
793 Lot 2 1.63072
794 Lot 2 1.54718
795 Lot 2 1.45513
796 Lot 2 1.63686
797 Lot 2 1.38180
798 Lot 2 1.57006
799 Lot 2 1.37843
800 Lot 2 1.67382
801 Lot 2 1.43103
802 Lot 2 1.30835
803 Lot 2 1.64154
804 Lot 2 1.44140
805 Lot 2 1.33580
806 Lot 2 1.09593
807 Lot 2 1.24077
808 Lot 2 1.45304
809 Lot 2 1.61270
810 Lot 2 1.55860
811 Lot 2 1.36415
812 Lot 2 1.52350
813 Lot 2 1.43309
814 Lot 2 1.63299
815 Lot 2 1.28368
816 Lot 2 1.49338
817 Lot 2 1.31346
818 Lot 2 1.30865
819 Lot 2 1.65851
820 Lot 2 1.70701
821 Lot 2 1.48047
822 Lot 2 1.51725
823 Lot 2 1.65449
824 Lot 2 1.59358
825 Lot 2 1.55675
826 Lot 2 1.41275
827 Lot 2 1.45033
828 Lot 2 1.28325
829 Lot 2 1.30644
830 Lot 2 1.57454
831 Lot 2 1.55369
832 Lot 2 1.42407
833 Lot 2 1.37259
834 Lot 2 1.53697
835 Lot 2 1.45393
836 Lot 2 1.48936
837 Lot 2 1.52773
838 Lot 2 1.60130
839 Lot 2 1.35470
840 Lot 2 1.66643
841 Lot 2 1.47163
842 Lot 2 1.42790
843 Lot 2 1.58815
844 Lot 2 1.56431
845 Lot 2 1.40448
846 Lot 2 1.55292
847 Lot 2 1.34133
848 Lot 2 1.45676
849 Lot 2 1.36231
850 Lot 2 1.56449
851 Lot 2 1.46608
852 Lot 2 1.62492
853 Lot 2 1.31140
854 Lot 2 1.56976
855 Lot 2 1.46419
856 Lot 2 1.44885
857 Lot 2 1.39514
858 Lot 2 1.46187
859 Lot 2 1.37966
860 Lot 2 1.55513
861 Lot 2 1.17741
862 Lot 2 1.61359
863 Lot 2 1.47488
864 Lot 2 1.45336
865 Lot 2 1.45136
866 Lot 2 1.37233
867 Lot 2 1.45759
868 Lot 2 1.61259
869 Lot 2 1.55266
870 Lot 2 1.43994
871 Lot 2 1.22339
872 Lot 2 1.79732
873 Lot 2 1.61525
874 Lot 2 1.48528
875 Lot 2 1.49657
876 Lot 2 1.44674
877 Lot 2 1.45677
878 Lot 2 1.44845
879 Lot 2 1.59821
880 Lot 2 1.60446
881 Lot 2 1.46961
882 Lot 2 1.55370
883 Lot 2 1.70478
884 Lot 2 1.44140
885 Lot 2 1.46037
886 Lot 2 1.36754
887 Lot 2 1.30677
888 Lot 2 1.52161
889 Lot 2 1.60725
890 Lot 2 1.43852
891 Lot 2 1.66089
892 Lot 2 1.63517
893 Lot 2 1.47391
894 Lot 2 1.40687
895 Lot 2 1.39367
896 Lot 2 1.51964
897 Lot 2 1.47369
898 Lot 2 1.41530
899 Lot 2 1.50512
900 Lot 2 1.78236
901 Lot 2 1.27624
902 Lot 2 1.17777
903 Lot 2 1.68548
904 Lot 2 1.48111
905 Lot 2 1.81923
906 Lot 2 1.61345
907 Lot 2 1.63498
908 Lot 2 1.29088
909 Lot 2 1.58176
910 Lot 2 1.32086
911 Lot 2 1.44865
912 Lot 2 1.63069
913 Lot 2 1.65280
914 Lot 2 1.39127
915 Lot 2 1.44854
916 Lot 2 1.27377
917 Lot 2 1.18443
918 Lot 2 1.24800
919 Lot 2 1.45834
920 Lot 2 1.61849
921 Lot 2 1.30137
922 Lot 2 1.54326
923 Lot 2 1.67289
924 Lot 2 1.43097
925 Lot 2 1.39117
926 Lot 3 2.04266
927 Lot 3 2.07960
928 Lot 3 2.16395
929 Lot 3 1.79549
930 Lot 3 2.15640
931 Lot 3 1.86307
932 Lot 3 1.95628
933 Lot 3 2.07610
934 Lot 3 2.07416
935 Lot 3 2.28429
936 Lot 3 2.00682
937 Lot 3 2.24903
938 Lot 3 1.92413
939 Lot 3 1.88491
940 Lot 3 2.16160
941 Lot 3 1.96278
942 Lot 3 1.91233
943 Lot 3 2.08217
944 Lot 3 2.22482
945 Lot 3 2.03489
946 Lot 3 1.97437
947 Lot 3 2.07715
948 Lot 3 2.27395
949 Lot 3 1.94277
950 Lot 3 1.97253
951 Lot 3 1.88442
952 Lot 3 2.01456
953 Lot 3 1.74219
954 Lot 3 2.05303
955 Lot 3 1.85021
956 Lot 3 1.72481
957 Lot 3 2.16791
958 Lot 3 2.08421
959 Lot 3 2.14498
960 Lot 3 2.02017
961 Lot 3 2.00161
962 Lot 3 2.04126
963 Lot 3 2.12188
964 Lot 3 1.85126
965 Lot 3 2.00424
966 Lot 3 2.05069
967 Lot 3 2.03057
968 Lot 3 2.01860
969 Lot 3 1.87873
970 Lot 3 1.82393
971 Lot 3 2.15672
972 Lot 3 1.91205
973 Lot 3 2.02670
974 Lot 3 1.99349
975 Lot 3 1.97362
976 Lot 3 2.03783
977 Lot 3 1.72683
978 Lot 3 2.17071
979 Lot 3 1.94813
980 Lot 3 1.82908
981 Lot 3 1.80623
982 Lot 3 1.98269
983 Lot 3 2.04678
984 Lot 3 2.09196
985 Lot 3 2.07484
986 Lot 3 1.94882
987 Lot 3 1.81773
988 Lot 3 1.98002
989 Lot 3 2.07046
990 Lot 3 1.93806
991 Lot 3 1.91534
992 Lot 3 1.82352
993 Lot 3 2.21132
994 Lot 3 2.02926
995 Lot 3 1.91346
996 Lot 3 1.87191
997 Lot 3 1.86816
998 Lot 3 2.10903
999 Lot 3 2.26794
1000 Lot 3 2.09454
1001 Lot 3 2.04791
1002 Lot 3 2.29149
1003 Lot 3 2.10219
1004 Lot 3 2.08209
1005 Lot 3 1.92614
1006 Lot 3 1.80999
1007 Lot 3 2.02712
1008 Lot 3 2.17076
1009 Lot 3 1.74012
1010 Lot 3 1.79254
1011 Lot 3 2.14412
1012 Lot 3 1.84990
1013 Lot 3 2.34948
1014 Lot 3 1.83349
1015 Lot 3 2.08549
1016 Lot 3 2.13565
1017 Lot 3 2.29370
1018 Lot 3 2.06554
1019 Lot 3 2.22324
1020 Lot 3 1.98854
1021 Lot 3 2.20574
1022 Lot 3 2.19813
1023 Lot 3 1.85383
1024 Lot 3 2.00600
1025 Lot 3 1.84439
1026 Lot 3 1.86879
1027 Lot 3 1.82902
1028 Lot 3 1.87557
1029 Lot 3 1.82747
1030 Lot 3 2.00520
1031 Lot 3 1.74956
1032 Lot 3 1.93267
1033 Lot 3 1.88265
1034 Lot 3 2.09015
1035 Lot 3 2.05661
1036 Lot 3 2.01283
1037 Lot 3 2.17999
1038 Lot 3 2.08991
1039 Lot 3 1.85977
1040 Lot 3 2.09413
1041 Lot 3 1.81553
1042 Lot 3 2.00106
1043 Lot 3 2.13495
1044 Lot 3 1.79832
1045 Lot 3 2.12211
1046 Lot 3 2.10057
1047 Lot 3 2.03579
1048 Lot 3 2.05735
1049 Lot 3 2.11621
1050 Lot 3 1.81230
1051 Lot 3 1.93250
1052 Lot 3 2.27886
1053 Lot 3 2.21472
1054 Lot 3 1.92129
1055 Lot 3 2.43461
1056 Lot 3 1.83919
1057 Lot 3 2.05633
1058 Lot 3 1.94348
1059 Lot 3 2.03158
1060 Lot 3 2.02605
1061 Lot 3 1.98769
1062 Lot 3 2.04835
1063 Lot 3 1.89022
1064 Lot 3 2.07261
1065 Lot 3 1.90845
1066 Lot 3 1.92419
1067 Lot 3 1.91193
1068 Lot 3 2.14609
1069 Lot 3 2.00147
1070 Lot 3 2.04194
1071 Lot 3 2.17043
1072 Lot 3 2.30613
1073 Lot 3 1.90129
1074 Lot 3 1.90972
1075 Lot 3 2.14349
1076 Lot 3 2.09952
1077 Lot 3 2.01137
1078 Lot 3 1.93490
1079 Lot 3 2.13189
1080 Lot 3 2.09105
1081 Lot 3 2.02507
1082 Lot 3 2.05630
1083 Lot 3 2.17262
1084 Lot 3 2.04542
1085 Lot 3 2.20673
1086 Lot 3 2.16543
1087 Lot 3 1.98721
1088 Lot 3 1.91953
1089 Lot 3 2.09476
1090 Lot 3 1.91292
1091 Lot 3 1.73330
1092 Lot 3 1.99272
1093 Lot 3 2.15314
1094 Lot 3 1.93338
1095 Lot 3 1.95603
1096 Lot 3 2.00773
1097 Lot 3 2.27006
1098 Lot 3 1.94997
1099 Lot 3 1.81357
1100 Lot 3 1.93330
1101 Lot 3 1.81967
1102 Lot 3 2.04415
1103 Lot 3 2.33827
1104 Lot 3 2.21068
1105 Lot 3 1.99011
1106 Lot 3 1.90984
1107 Lot 3 2.00705
1108 Lot 3 2.17589
1109 Lot 3 2.19985
1110 Lot 3 2.17166
1111 Lot 3 1.89119
1112 Lot 3 2.09630
1113 Lot 3 1.60722
1114 Lot 3 2.04216
1115 Lot 3 2.23812
1116 Lot 3 1.84898
1117 Lot 3 2.11749
1118 Lot 3 2.22721
1119 Lot 3 2.01137
1120 Lot 3 2.19244
1121 Lot 3 1.86209
1122 Lot 3 2.09919
1123 Lot 3 1.98120
1124 Lot 3 1.90303
1125 Lot 3 2.15117
1126 Lot 3 2.14839
1127 Lot 3 1.86236
1128 Lot 3 2.11459
1129 Lot 3 1.90807
1130 Lot 3 2.04670
1131 Lot 3 2.29291
1132 Lot 3 1.95729
1133 Lot 3 2.00755
1134 Lot 3 2.09608
1135 Lot 3 1.96898
1136 Lot 3 1.94999
1137 Lot 3 1.76128
1138 Lot 3 2.01990
1139 Lot 3 1.96063
1140 Lot 3 1.75357
1141 Lot 3 1.97765
1142 Lot 3 2.00927
1143 Lot 3 1.93078
1144 Lot 3 1.94478
1145 Lot 3 2.08202
1146 Lot 3 2.01952
1147 Lot 3 2.00505
1148 Lot 3 2.09173
1149 Lot 3 1.95537
1150 Lot 3 2.03200
1151 Lot 3 2.05684
1152 Lot 3 1.72144
1153 Lot 3 2.10320
1154 Lot 3 1.96737
1155 Lot 3 2.06146
1156 Lot 3 1.81416
1157 Lot 3 2.21583
1158 Lot 3 2.01167
1159 Lot 3 2.29375
1160 Lot 3 2.20723
1161 Lot 3 1.99232
1162 Lot 3 2.04028
1163 Lot 3 2.41460
1164 Lot 3 2.16190
1165 Lot 3 2.00234
1166 Lot 3 2.01448
1167 Lot 3 1.82413
1168 Lot 3 1.89349
1169 Lot 3 1.88715
1170 Lot 3 1.70038
1171 Lot 3 2.09219
1172 Lot 3 1.84821
1173 Lot 3 1.84076
1174 Lot 3 1.96689
1175 Lot 3 2.11278
1176 Lot 3 1.66253
1177 Lot 3 2.03011
1178 Lot 3 1.87907
1179 Lot 3 2.13133
1180 Lot 3 2.08584
1181 Lot 3 2.10619
1182 Lot 3 2.06970
1183 Lot 3 1.98759
1184 Lot 3 2.05885
1185 Lot 3 2.29365
1186 Lot 3 1.73999
1187 Lot 3 2.02307
1188 Lot 3 2.13992
1189 Lot 3 2.09643
1190 Lot 3 1.92930
1191 Lot 3 1.96045
1192 Lot 3 2.28519
1193 Lot 3 1.95831
1194 Lot 3 1.97006
1195 Lot 3 1.97058
1196 Lot 3 1.82884
1197 Lot 3 2.01931
1198 Lot 3 2.13335
1199 Lot 3 1.96838
1200 Lot 3 1.99496
1201 Lot 3 1.79985
1202 Lot 3 2.34848
1203 Lot 3 2.23196
1204 Lot 3 1.95762
1205 Lot 3 2.15828
1206 Lot 3 2.07509
1207 Lot 3 2.05993
1208 Lot 3 2.02818
1209 Lot 3 2.17559
1210 Lot 3 1.82686
1211 Lot 3 2.13377
1212 Lot 3 2.04830
1213 Lot 3 1.90278
1214 Lot 3 2.06882
1215 Lot 3 2.14537
1216 Lot 3 1.95554
1217 Lot 3 2.14669
1218 Lot 3 1.89255
1219 Lot 3 2.15088
1220 Lot 3 2.04184
1221 Lot 3 1.95165
1222 Lot 3 1.92780
1223 Lot 3 2.21661
1224 Lot 3 1.74088
1225 Lot 3 1.91107

When you use kernel density estimates to explore a data distribution, you should try several choices for the bandwidth parameter c since this determines the smoothness and closeness of the fit. You can specify a list of C= values with the KERNEL option to request multiple density estimates, as shown in the following statements:

   title "FET Channel Length Analysis";
   legend1 frame cframe=ligr cborder=black position=center;
   proc capability data=channel noprint;
      histogram length / kernel(c = 0.25 0.50 0.75 1.00
                                l = 1 20 2 34
                                color=yellow)
                         cfill  = blue
                         cframe = ligr
                         legend = legend1;
   run;

The L= option specifies distinct line types for the curves (the L= values are paired with the C= values in the order listed). The display, shown in Output 4.5.2, demonstrates the effect of c. In general, larger values of c yield smoother density estimates, and smaller values yield estimates that more closely fit the data distribution.

Output 4.5.2: Multiple Kernel Density Estimates
caphex5b.gif (9425 bytes)

Output 4.5.2 reveals strong trimodality in the data, which are explored further in "Creating a One-Way Comparative Histogram".

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