@heading number right $$ AC5EUCL.OUTPUT2M (Sclove) p.$$ ------------------------------------------------------------------------------------------------------------------------ @end PAGE 1 BMDPKM BMDPKM - K MEANS CLUSTERING OF CASES Copyright (C) Regents of University of California. BMDP Statistical Software, Inc. 1440 Sepulveda Boulevard Phone (213) 479-7799 Los Angeles, California 90025 Telex 4972934 Program Version: 1987 (VM/CMS) Manual Edition: 1983, 1985 reprint. State NEWS in the PRINT paragraph for a summary of new features. APRIL 14, 1991 AT 10:25:10 PROGRAM INSTRUCTIONS /PROBLEM TITLE IS ' AC5PTS DAT'. /INPUT VARIABLES ARE 3. FORMAT IS FREE. /VARIABLE NAMES ARE X1, X2, ID. USE = 1 to 3. LABEL = ID. /CLUSTER NUMBER = 2. /PRINT CASE = 4. MEMBER. /PLOT XVAR = X1. YVAR = X2. /COMMENT 'CMS DSN = AC5PTS DAT .' /COMMENT 'Example from Afifi and Clark, Ch. 16 .' /COMMENT 'COMPUTER-AIDED MULTIVARIATE ANALYSIS '. /END PROBLEM TITLE IS AC5PTS DAT NUMBER OF VARIABLES TO READ IN. . . . . . . . . 3 NUMBER OF VARIABLES ADDED BY TRANSFORMATIONS. . 0 TOTAL NUMBER OF VARIABLES . . . . . . . . . . . 3 NUMBER OF CASES TO READ IN. . . . . . . . . . . TO END CASE LABELING VARIABLES . . . . . . . . . . . .ID MISSING VALUES CHECKED BEFORE OR AFTER TRANS. . NEITHER BLANKS ARE. . . . . . . . . . . . . . . . . . . MISSING NUMBER OF WORDS OF DYNAMIC STORAGE. . . . . . . 519320 VARIABLES TO BE USED 1 X1 2 X2 INPUT FORMAT IS FREE MAXIMUM LENGTH DATA RECORD IS 80 CHARACTERS. @eject PAGE 2 BMDPKM AC5PTS DAT NUMBER(S) OF CLUSTER(S) TO REPORT . . . . . . . 2 DISTANCES ARE STANDARDIZED BY . . . . . . . . . NONE MAXIMUM NUMBER OF MISSING VALUES PER CASE . . . 1 MAXIMUM NUMBER OF ITERATIONS. . . . . . . . . . 30 NUMBER OF CASES PRINTED . . . . . . . . . . . . 4 MAXIMUM NUMBER OF CASES THAT CAN BE PROCESSED 51861 @eject PAGE 3 BMDPKM AC5PTS DAT DATA POINTS C A S E 1 2 NO. LABEL X1 X2 ----- -------- ---------- ---------- 1 CASE 1 1 2 CASE 1 2 3 CASE 3 6 4 CASE 5 7 *** DATA ERROR *** NON NUMERIC CHARACTER(S) FOUND READING CASE NO. 6 /* $$ *** DATA ERROR *** CASE NO. 6 WILL BE DELETED. WHILE READING VARIABLE 2, 2 RECORD(S) WOULD BE READ. AS DEFINED BY CASE ONE, THERE MUST BE 1 RECORD(S) PER CASE. NUMBER OF CASES READ. . . . . . . . . . . . . . 6 CASES WITH USE SET TO NEGATIVE VALUE . . . . 1 REMAINING NUMBER OF CASES . . . . . . . . 5 @eject PAGE 4 BMDPKM AC5PTS DAT REALLOCATION IS COMPLETE AFTER 1 ITERATIONS FOR 2 CLUSTERS CLUSTER 1 OF 2 CONTAINS 2 CASES ==================================== 1 1 DISTANCE +.........+.........+.........+.........+.........+.........+.........+.........+.........+.........+ FROM CENTER TO CASES IN THIS CLUSTER 4.000 8.000 2 2 2 DISTANCE +.........+.........+.........+.........+.........+.........+.........+.........+.........+.........+ FROM CENTER TO CASES IN OTHER CLUSTERS 4.000 8.000 C A S E WEIGHT DISTANCE I VARIABLE MINIMUM CENTER MAXIMUM ST.DEV. ------------------------- I ------------------------------------------------- CASE 1.00 1.8028 I 1 X1 5.0000 6.5000 8.0000 2.1213 CASE 1.00 1.8028 I 2 X2 5.0000 6.0000 7.0000 1.4142 ---------------------------- AVERAGE DISTANCE 1.8028 CLUSTER 2 OF 2 CONTAINS 3 CASES ==================================== 2 2 2 DISTANCE +.........+.........+.........+.........+.........+.........+.........+.........+.........+.........+ FROM CENTER TO CASES IN THIS CLUSTER 3.500 7.000 1 1 DISTANCE +.........+.........+.........+.........+.........+.........+.........+.........+.........+.........+ FROM CENTER TO CASES IN OTHER CLUSTERS 3.500 7.000 C A S E WEIGHT DISTANCE I VARIABLE MINIMUM CENTER MAXIMUM ST.DEV. ------------------------- I ------------------------------------------------- CASE 1.00 1.2018 I 1 X1 1.0000 1.6667 3.0000 1.1547 CASE 1.00 3.2830 I 2 X2 1.0000 3.0000 6.0000 2.6458 CASE 1.00 2.1082 I ---------------------------- AVERAGE DISTANCE 2.1977 @eject PAGE 5 BMDPKM AC5PTS DAT REPORT ON CASES WITH POSITIVE WEIGHT ------------------------------------ ..+......+......+......+......+......+......+......+......+......+......+......+......+......+......+.. - 1 - - - - - - - - - 6.4 + + - - - - - 2 - - - - - 5.6 + + - - - - - - - 1 - - - 4.8 + + X - - 2 - - - - - - - - 4.0 + + - - - - - - - - - - 3.2 + + - - - - - - - - - - 2.4 + + - - - - - 2 - - - - - 1.6 + + - - - - - - - 2 - ..+......+......+......+......+......+......+......+......+......+......+......+......+......+......+.. 1.5 2.5 3.5 4.5 5.5 6.5 7.5 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 X1 @eject PAGE 6 BMDPKM AC5PTS DAT CLUSTER MEANS -------------- SIZE X1 X2 1 2 6.5000 6.0000 2 3 1.6667 3.0000 GRAND MEAN 3.6000 4.2000 @eject PAGE 7 BMDPKM AC5PTS DAT CLUSTER STANDARD DEVIATIONS ---------------------------- X1 X2 1 2.1213 1.4142 2 1.1547 2.6458 X1 X2 MEAN SQUARES BETWEEN 28.033 10.800 WITHIN 2.389 5.333 D.F.-S 1, 3 1, 3 F-RATIO 11.735 2.025 P-VALUE 0.038 0.278 @eject PAGE 8 BMDPKM AC5PTS DAT CLUSTER PROFILES - VARIABLES ARE ORDERED BY F-RATIO SIZE -------------------------------------------------------- * * X1 -----------1------------ ------2------- X2 ------------1----------------------------------2----------------------- * * EACH COLUMN DESCRIBES A CLUSTER . THE CLUSTER NUMBER IS PRINTED AT THE MEAN OF EACH VARIABLE DASHES INDICATE ONE STANDARD DEVIATION ABOVE AND BELOW @eject PAGE 9 BMDPKM AC5PTS DAT POOLED WITHIN CLUSTER COVARIANCES --------------------------------- X1 X2 1 2 X1 1 2.39 X2 2 1.00 5.33 @eject PAGE 10 BMDPKM AC5PTS DAT POOLED WITHIN CLUSTER CORRELATIONS ---------------------------------- X1 X2 1 2 X1 1 1.0000 X2 2 0.2802 1.0000 CPU TIME USED 0.216 SECONDS @eject PAGE 11 BMDPKM BMDPKM - K MEANS CLUSTERING OF CASES APRIL 14, 1991 AT 10:25:11 NO MORE CONTROL LANGUAGE. PROGRAM TERMINATED