1PAGE 1 KM AlpDemog.KMsmry from AlpDemog.KM*Run 15-Feb-94 This file is AlpDemog.KMsmry. This is a summary; the complete runs are in AlpDemog.KM4run and KM5run. BMDPKM - K MEANS CLUSTERING OF CASES COPYRIGHT 1977, 1979, 1981, 1982, 1983, 1985, 1987, 1988, 1990 BY BMDP STATISTICAL SOFTWARE, INC. VERSION: 1990 (IBM/CMS) DATE: FEBRUARY 15, 1994 AT 17:16:11 PROGRAM INSTRUCTIONS / PROBLEM TITLE IS ' AlpDemog Dat '. / INPUT VARIABLES ARE 7. FORMAT IS FREE. / VARIABLE NAMES ARE ID,Age,FamSiz,Educ,Marital,Occ,Inc. USE = 1,2,3,4,5,6,7. LABEL = ID. / CLUSTER NUMBer = 5. STANDard = WCOV. (Results for NUMBer = 4 are also summarized.) / PRINT CASEs= 4. NO DIST. NO MEMBer. / PLOT XVAR = Age. YVAR = Educ. / COMMENT 'For IDS 480, Spring 1994 '. / END PROBLEM TITLE IS AlpDemog Dat NUMBER OF VARIABLES TO READ . . . . . . . . . . 7 . . . VARIABLES TO BE USED 2 Age 3 FamSiz 4 Educ 5 Marital 6 Occ 7 Inc PAGE 2 KM AlpDemog Dat NUMBER(S) OF CLUSTER(S) TO REPORT . 5 DISTANCES ARE STANDARDIZED BY . . . . . . . . . WCOV MAXIMUM NUMBER OF MISSING VALUES PER CASE . . . 0 PAGE 3 KM AlpDemog.KMsmry from AlpDemog.KMrun 15-Feb-94 DATA POINTS C A S E 2 3 4 5 6 7 NO. LABEL Age FamSiz Educ Marital Occ Inc ----- ----- -------- -------- -------- -------- -------- -------- 1 001 40.00 4.00 12.00 1.00 23.00 190.00 2 002 57.00 2.00 12.00 1.00 23.00 220.00 3 003 35.00 1.00 16.00 0.00 23.00 220.00 4 004 54.00 3.00 14.00 1.00 23.00 220.00 NUMBER OF CASES READ. . . . . . . . . . . . . . 252 REALLOCATION IS COMPLETE AFTER 10 ITERATIONS FOR 5 CLUSTERS 1PAGE 8 KM AlpDemog.KMsmry from AlpDemog.KMrun 15-Feb-94 REPORT ON CASES WITH POSITIVE WEIGHT ------------------------------------ .....+.....+.....+.....+.....+.....+.....+.....+.....+.....+... 24 + 5 + - - - - - - - - 22 + + - - - - - - - - 20 + + - - - - - - - - 18 + 5 * 11 2** 11 1 11* 1* 1 33 1 1 2 * + - - - - - - E - - d 16 + 1 * * * 3* 1 1 1 5 *** 3331 * 1 1 31 1 3 *2 + u - - c - - - - - - 14 + ***** **** ***** *131 1 515 11 5 11 1 * * + - - - - - - - - 12 + **** 52**2 * 35* *22 * 25* 3 3553 1 2 1* * 4 + - - - - - - - - 10 + ** 2 4 5 12 2 2 * 2 + - - - - - - - - 8. + 3 2 3 + - - - - - - - - 6. + 2 3 2 + .....+.....+.....+.....+.....+.....+.....+.....+.....+.....+... 25 35 45 55 65 20 30 40 50 60 Age 1PAGE 9 KM AlpDemog.KMsmry from AlpDemog.KMrun 15-Feb-94 CLUSTER MEANS -------------- SIZE Age FamSiz Educ Marital Occ Inc 1 91. 34.0216 3.9780 14.6373 0.6154 17.8128 215.3843 2 42. 35.2141 2.4286 12.4286 0.4524 10.8571 95.4760 3 49. 35.0202 3.5306 13.5918 0.6327 9.3265 163.0610 4 30. 26.7666 2.2000 13.5333 0.3333 12.0333 42.4999 5 40. 31.5749 4.2750 14.2500 0.6750 12.6750 119.7499 GRAND MEAN 33.1618 3.4682 13.8730 0.5675 13.4999 149.4634 CLUSTER STANDARD DEVIATIONS ---------------------------- Age FamSiz Educ Marital Occ Inc 1 13.6324 1.6864 2.2682 0.4892 7.9553 10.8840 2 14.5360 1.3278 2.7421 0.5038 9.7445 13.0575 3 13.5500 1.8155 2.6764 0.4871 9.5620 14.4632 4 12.6891 1.2972 2.2087 0.4795 9.4193 17.7991 5 9.2123 1.8396 2.5695 0.4743 9.7149 7.2457 Age FamSiz Educ Marital Occ Inc MEAN SQUARES BETWEEN 435.393 35.876 38.448 0.770 732.794226366.312 WITHIN 170.774 2.701 6.130 0.238 81.908 157.602 D.F.-S 4, 247 4, 247 4, 247 4, 247 4, 247 4, 247 F-RATIO 2.550 13.281 6.272 3.235 8.947 1436.317 P-VALUE 0.040 0.000 0.000 0.013 0.000 0.000 CLUSTER PROFILES - VARIABLES ARE ORDERED BY F-RATIO SIZE -------------------------------------------------------- * * * * * Inc 1- -2 -3 4- 5- FamSiz ----1--- ---2--- ----3----- ---4--- ----5----- Occ -----1---- -----2----- -----3----- -----4---- -----5----- Educ -----1----- ------2------ ------3------ -----4----- ------5------ Marital --------1-------- --------2--------- -------3-------- --------4------- --------5-------- Age ---------1--------- ----------2---------- ----------3-----------------4--------- ------5------ * * * * * Repetition of same profile graph, with verticals drawn in: * * * * * | | | | | Inc | 1- -2| |3 4- | 5| FamSiz --|-1--- ---2-|- ----|----- ---4--| --|-5----- Occ --|--1---- -----2|---- -----3-|--- -----|---- -----|----- Educ ---|-1----- ------2--|--- ------|------ -----|----- -----|5------ Marital -------|1-------- --------2-|------- ------|3-------- --------4--|---- ------|-5-------- Age -------|1--------- --------|-2---------- --------|-3-----------------4---|----- ------5|----- | | | | | * * * * * EACH COLUMN DESCRIBES A CLUSTER . THE CLUSTER NUMBER IS PRINTED AT THE MEAN OF EACH VARIABLE DASHES INDICATE ONE STANDARD DEVIATION ABOVE AND BELOW Example: For Age in Cluster 4, z = (Cluster Mean - Overall Mean)/s.e.mean = (26.7666-33.1618)/sqrt(170.774/30) = -6.3952/(13.07/5.47) = -2.68, or about 3, so there are 3 dashes between the 4 and the center line. 1PAGE 10 KM AlpDemog.KMsmry from AlpDemog.KMrun 15-Feb-94 POOLED WITHIN CLUSTER COVARIANCES --------------------------------- Age FamSiz Educ Marital Occ Inc 2 3 4 5 6 7 Age 2 1.708E+2 FamSiz 3 -4.025E+0 2.701E+0 Educ 4 4.892E+0 -0.623E+0 6.130E+0 Marital 5 3.894E+0 -0.518E-1 0.133E+0 0.238E+0 Occ 6 2.832E+1 -2.732E+0 1.006E+1 0.536E+0 8.191E+1 Inc 7 5.750E+0 -2.245E+0 -3.167E+0 0.106E+0 -1.573E+1 1.576E+2 POOLED WITHIN CLUSTER CORRELATIONS ---------------------------------- Age FamSiz Educ Marital Occ Inc 2 3 4 5 6 7 Age 2 1.0000 FamSiz 3 -0.1874 1.0000 Educ 4 0.1512 -0.1530 1.0000 Marital 5 0.6109 -0.0646 0.1097 1.0000 Occ 6 0.2394 -0.1837 0.4487 0.1215 1.0000 Inc 7 0.0351 -0.1088 -0.1019 0.0174 -0.1384 1.0000 1PAGE 7 KM AlpDemog Dat k = 4 clusters CLUSTER MEANS -------------- SIZE Age FamSiz Educ Marital Occ Inc 1 98. 33.9487 3.8979 14.6122 0.6224 16.6833 213.5711 2 63. 33.5394 2.8254 12.7619 0.5238 11.9365 102.2220 3 61. 34.6555 4.0656 14.0000 0.6393 10.7213 147.8686 4 30. 26.7666 2.2000 13.5333 0.3333 12.0333 42.4999 GRAND MEAN 33.1618 3.4682 13.8730 0.5675 13.4999 149.4634 CLUSTER STANDARD DEVIATIONS ---------------------------- Age FamSiz Educ Marital Occ Inc 1 13.4566 1.6652 2.2687 0.4873 8.6876 12.3730 2 13.1331 1.4204 2.5254 0.5034 9.6568 14.9401 3 12.6239 2.0564 2.8752 0.4842 9.8355 18.1535 4 12.6891 1.2972 2.2087 0.4795 9.4193 17.7991 Age FamSiz Educ Marital Occ Inc MEAN SQUARES BETWEEN 477.728 38.043 45.253 0.792 560.868295581.312 WITHIN 171.329 2.809 6.178 0.240 86.613 232.456 D.F.-S 3, 248 3, 248 3, 248 3, 248 3, 248 3, 248 F-RATIO 2.788 13.544 7.325 3.301 6.476 1271.559 P-VALUE 0.041 0.000 0.000 0.021 0.000 0.000 CLUSTER PROFILES - VARIABLES ARE ORDERED BY F-RATIO SIZE -------------------------------------------------------- * * * * Inc 1 -2- -3 -4 FamSiz -----1----- -----2---- -------3------ -----4---- Educ -------1------ -------2-------- --------3-------- -------4------ Occ -------1-------- --------2-------- --------3--------- -------4-------- Marital -----------1----------- -----------2----------- ----------3----------- -----------4---------- Age ------------1------------- ------------2------------ -----------3----------------------4----------- * * * * EACH COLUMN DESCRIBES A CLUSTER . THE CLUSTER NUMBER IS PRINTED AT THE MEAN OF EACH VARIABLE DASHES INDICATE ONE STANDARD DEVIATION ABOVE AND BELOW 1PAGE 8 KM AlpDemog Dat k = 4 clusters POOLED WITHIN CLUSTER COVARIANCES --------------------------------- Age FamSiz Educ Marital Occ Inc 2 3 4 5 6 7 Age 2 1.713E+2 FamSiz 3 -4.685E+0 2.809E+0 Educ 4 4.241E+0 -0.503E+0 6.178E+0 Marital 5 3.811E+0 -0.346E-1 0.146E+0 0.240E+0 Occ 6 2.750E+1 -1.996E+0 1.077E+1 0.556E+0 8.661E+1 Inc 7 5.545E+0 -2.465E+0 -6.032E+0 0.884E-1 5.064E+0 2.325E+2 POOLED WITHIN CLUSTER CORRELATIONS ---------------------------------- Age FamSiz Educ Marital Occ Inc 2 3 4 5 6 7 Age 2 1.0000 FamSiz 3 -0.2135 1.0000 Educ 4 0.1304 -0.1207 1.0000 Marital 5 0.5945 -0.0421 0.1198 1.0000 Occ 6 0.2258 -0.1280 0.4655 0.1220 1.0000 Inc 7 0.0278 -0.0965 -0.1592 0.0118 0.0357 1.0000 1PAGE 12 KM AlpDemog Dat CROSS TABULATION OF CLUSTERS VERSUS VARIABLE FamSiz ----------------------------------------------------- VARIABLE CLUSTER CLUSTER CLUSTER CLUSTER VALUES 1 2 3 4 *1 5 12 5 13 *2 15 18 9 6 *3 22 11 13 4 *4 26 15 14 6 *5 14 3 9 1 *6 9 2 4 0 *7 4 1 4 0 *8 2 0 0 0 *9 1 0 4 0 CROSS TABULATION OF CLUSTERS VERSUS VARIABLE Educ ----------------------------------------------------- VARIABLE CLUSTER CLUSTER CLUSTER CLUSTER VALUES 1 2 3 4 *6 0 2 1 0 *8 0 1 2 0 *10 6 10 2 4 *12 16 21 17 7 *14 36 19 20 14 *16 22 5 12 2 *18 18 4 7 3 *24 0 0 1 0 CROSS TABULATION OF CLUSTERS VERSUS VARIABLE Marital ----------------------------------------------------- VARIABLE CLUSTER CLUSTER CLUSTER CLUSTER VALUES 1 2 3 4 *0 37 29 23 20 *1 61 33 39 10 CROSS TABULATION OF CLUSTERS VERSUS VARIABLE Occ ----------------------------------------------------- VARIABLE CLUSTER CLUSTER CLUSTER CLUSTER VALUES 1 2 3 4 *0 17 10 8 7 *1 23 29 33 13 *10 58 23 21 10