Ward's Minimum Variance Cluster Analysis Eigenvalues of the Covariance Matrix Eigenvalue Difference Proportion Cumulative 1 112.304 96.9793 0.753470 0.75347 2 15.325 5.8964 0.102819 0.85629 3 9.429 5.1636 0.063259 0.91955 4 4.265 0.9607 0.028616 0.94816 5 3.304 1.8314 0.022170 0.97033 6 1.473 0.1978 0.009883 0.98022 7 1.275 0.4650 0.008556 0.98877 8 0.810 0.4380 0.005436 0.99421 9 0.372 0.0565 0.002498 0.99671 10 0.316 0.2163 0.002118 0.99883 11 0.099 0.0401 0.000667 0.99949 12 0.059 0.0432 0.000398 0.99989 13 0.016 . 0.000108 1.00000 Root-Mean-Square Total-Sample Standard Deviation = 3.386053 Root-Mean-Square Distance Between Observations = 17.26555 Ward's Minimum Variance Cluster Analysis Number Frequency of of New Semipartial Clusters -Clusters Joined-- Cluster R-Squared R-Squared Tie 349 OB283 OB341 2 0.000003 0.999997 348 OB209 OB244 2 0.000004 0.999993 347 OB249 OB255 2 0.000006 0.999987 346 OB50 OB290 2 0.000006 0.999981 37 CL63 CL90 11 0.001463 0.932795 36 CL52 CL88 29 0.001576 0.931219 35 CL60 CL72 39 0.001582 0.929636 34 CL62 OB303 5 0.001586 0.928050 33 CL58 CL102 27 0.001654 0.926397 32 CL132 CL54 5 0.001674 0.924723 31 CL48 CL44 15 0.001934 0.922789 30 CL64 CL81 22 0.002040 0.920750 29 CL115 OB132 4 0.002124 0.918626 28 OB21 OB105 2 0.002133 0.916493 27 CL37 CL43 18 0.002503 0.913991 26 CL49 CL42 50 0.002944 0.911047 25 CL41 CL36 37 0.003055 0.907991 24 CL32 CL51 11 0.003103 0.904888 23 CL47 CL38 23 0.003314 0.901575 22 CL31 CL56 18 0.003447 0.898127 21 CL59 OB192 27 0.003504 0.894624 20 CL24 CL34 16 0.003826 0.890798 19 CL40 CL136 5 0.004258 0.886541 18 CL27 OB53 19 0.004396 0.882144 17 CL33 CL35 66 0.004814 0.877331 16 CL21 CL55 47 0.005127 0.872204 15 CL46 CL19 16 0.006717 0.865486 14 CL28 CL20 18 0.007246 0.858240 13 CL30 CL29 26 0.007860 0.850379 12 CL18 CL39 23 0.008437 0.841942 11 CL26 CL53 68 0.008496 0.833447 10 CL45 CL15 24 0.008555 0.824891 9 CL25 CL16 84 0.009749 0.815142 8 CL23 CL13 49 0.009836 0.805306 7 CL8 CL22 67 0.014713 0.790593 6 CL17 CL11 134 0.032362 0.758231 5 CL9 CL14 102 0.037383 0.720848 4 CL7 CL12 90 0.049615 0.671232 3 CL6 CL10 158 0.063334 0.607898 2 CL4 CL5 192 0.114961 0.492937 1 CL2 CL3 350 0.492937 0.000000 ------------------------------ CLUSTER=1 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 24 9.3313116 3.0448742 4.4721360 17.4928557 RBEDS 24 6.4853417 3.6923435 0 13.4164079 OUTV 24 3.2864962 4.3989504 0 11.0973646 ADM 24 6.3774069 1.6800489 0 8.7881359 SIR 24 0.4147892 1.6447329 0 7.8754993 HIP95 24 0.6544476 1.4702966 0 5.0000000 KNEE95 24 0.0833333 0.2823299 0 1.0000000 TH 24 0.1666667 0.3806935 0 1.0000000 TRAUMA 24 0 0 0 0 REHAB 24 0.8333333 0.3806935 0 1.0000000 HIP96 24 0.5681160 1.6452020 0 5.8309519 KNEE96 24 0.1005922 0.3462312 0 1.4142136 FEMUR96 24 0.8286643 2.2411136 0 7.8740079 SALES12 24 1.2563423 1.9836630 0 6.4952656 SALESY 24 1.2114177 1.9171009 0 6.4520490 --------------------------------------------------------------------- ------------------------------ CLUSTER=2 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 68 8.6548928 2.4716679 3.8729833 14.8323970 RBEDS 68 0.1847544 0.7598004 0 4.1231056 OUTV 68 9.7564292 1.4158897 6.5539334 12.9603361 ADM 68 7.6368569 0.7829298 4.8903491 9.3284789 SIR 68 7.0904744 1.0043452 3.8712010 9.0532186 HIP95 68 1.7568720 1.0934763 0 4.2426407 KNEE95 68 0.8567511 1.0795693 0 3.8729833 TH 68 0.1323529 0.3413936 0 1.0000000 TRAUMA 68 0.0441176 0.2068833 0 1.0000000 REHAB 68 0.0588235 0.2370435 0 1.0000000 HIP96 68 1.7225779 1.4415235 0 4.5825757 KNEE96 68 0.4282592 0.8060258 0 3.1622777 FEMUR96 68 2.0169164 1.6588940 0 7.0000000 SALES12 68 0.4266457 0.9727180 0 4.3307333 SALESY 68 0.3897366 0.9005933 0 4.1271344 --------------------------------------------------------------------- ------------------------------ CLUSTER=3 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 66 10.3784307 1.8893206 6.0000000 14.1421356 RBEDS 66 0.1355193 0.7724873 0 4.4721360 OUTV 66 9.4711213 0.7846171 6.6808547 10.8780661 ADM 66 8.0104918 0.5178002 5.7493930 8.9889453 SIR 66 7.7799658 0.5484175 5.8777358 8.8276148 HIP95 66 4.7082048 1.2150677 2.0000000 7.4161985 KNEE95 66 3.3104339 1.2006908 0 6.7823300 TH 66 0.0454545 0.2098951 0 1.0000000 TRAUMA 66 0.0606061 0.2404347 0 1.0000000 REHAB 66 0.0303030 0.1727334 0 1.0000000 HIP96 66 4.9526590 1.1967721 2.2360680 7.4833148 KNEE96 66 3.3866880 1.2527062 0 5.4772256 FEMUR96 66 5.5761450 1.3858408 2.0000000 9.5393920 SALES12 66 1.7046578 1.6639543 0 4.4998097 SALESY 66 1.4969838 1.4807880 0 4.2195077 --------------------------------------------------------------------- ------------------------------ CLUSTER=4 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 84 13.9876982 2.5028205 8.6602540 21.4009346 RBEDS 84 0.1748671 0.9211792 0 5.7445626 OUTV 84 10.1449187 0.6319276 8.1321188 11.9380690 ADM 84 8.6318176 1.0248775 0 9.6002857 SIR 84 8.3459138 1.0262645 0 9.2980765 HIP95 84 7.8699407 1.3770006 4.3588989 10.7238053 KNEE95 84 6.3163725 1.7413774 2.2360680 10.0498756 TH 84 0.0119048 0.1091089 0 1.0000000 TRAUMA 84 0.0833333 0.2780454 0 1.0000000 REHAB 84 0.0357143 0.1866915 0 1.0000000 HIP96 84 7.8180925 1.3430058 3.6055513 10.8166538 KNEE96 84 6.3194965 1.7123681 2.6457513 10.0000000 FEMUR96 84 8.5521957 1.8177030 2.4494897 13.1909060 SALES12 84 2.5756047 1.8180481 0 5.9814142 SALESY 84 2.3296489 1.6671088 0 5.3981627 --------------------------------------------------------------------- ------------------------------ CLUSTER=5 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 67 18.8639127 3.6374261 12.2474487 28.9136646 RBEDS 67 1.3271566 2.4026182 0 7.7459667 OUTV 67 10.2084243 2.6954751 0 13.2963066 ADM 67 9.4017597 0.4390974 8.5055254 10.3635040 SIR 67 9.0893693 0.3725483 8.0297585 10.0790362 HIP95 67 10.6524351 2.0271527 7.2111026 16.1245155 KNEE95 67 9.6836659 1.9430655 5.7445626 13.8202750 TH 67 0.2388060 0.4295717 0 1.0000000 TRAUMA 67 0.2537313 0.4384298 0 1.0000000 REHAB 67 0.2537313 0.4384298 0 1.0000000 HIP96 67 10.7618901 2.1076174 6.8556546 16.0934769 KNEE96 67 9.4926849 1.8114055 6.0827625 12.5299641 FEMUR96 67 10.7841847 2.1602159 7.0710678 17.5499288 SALES12 67 3.8435410 1.7735974 0 6.5610307 SALESY 67 3.4488894 1.7163457 0 6.2989492 --------------------------------------------------------------------- ------------------------------ CLUSTER=6 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 18 23.9666983 5.0512242 17.3205081 36.9864840 RBEDS 18 0.8635113 1.6904275 0 4.4721360 OUTV 18 11.7035123 1.4137148 7.7262127 13.4118937 ADM 18 9.4845905 0.6211897 8.1761103 10.8647325 SIR 18 8.8701760 0.9523599 6.0282785 10.1808541 HIP95 18 5.9920978 2.0680446 1.0000000 9.2736185 KNEE95 18 3.9397179 2.1776298 0 8.3666003 TH 18 0.8333333 0.3834825 0 1.0000000 TRAUMA 18 0.2222222 0.4277926 0 1.0000000 REHAB 18 0.2222222 0.4277926 0 1.0000000 HIP96 18 5.1607995 2.4325087 0 9.5393920 KNEE96 18 3.4116094 2.4070555 0 7.5498344 FEMUR96 18 7.0432237 4.2500796 0 18.3847763 SALES12 18 1.3270647 1.8407601 0 5.1416636 SALESY 18 1.0977398 1.8185292 0 5.0875963 --------------------------------------------------------------------- ------------------------------ CLUSTER=7 ----------------------------- Variable N Mean Std Dev Minimum Maximum --------------------------------------------------------------------- BEDS 23 20.5378304 3.5836942 10.0000000 27.2029410 RBEDS 23 0.8294012 1.9090473 0 6.3245553 OUTV 23 10.6221854 0.8267354 8.4178147 12.0072070 ADM 23 9.5800427 0.5304216 7.9837811 10.2615465 SIR 23 9.3153350 0.4632145 8.4400961 10.0814245 HIP95 23 15.8221538 2.8617169 12.3288280 22.4722051 KNEE95 23 16.5184199 3.0767565 11.9163753 23.4307490 TH 23 0.3043478 0.4704720 0 1.0000000 TRAUMA 23 0.2173913 0.4217412 0 1.0000000 REHAB 23 0.1739130 0.3875534 0 1.0000000 HIP96 23 15.6796906 3.1865339 11.4455231 23.8956063 KNEE96 23 16.1568706 2.3642915 12.0830460 21.7715411 FEMUR96 23 13.1042437 2.1363980 8.5440037 17.5214155 SALES12 23 3.9240666 1.9142596 0 6.2005092 SALESY 23 3.4070187 1.8245507 0 5.6664267 --------------------------------------------------------------------- OBS CLUSTER MBEDS MRBEDS MOUTV MADM MSIR MHIP95 MKNEE95 1 1 9.3313 6.48534 3.2865 6.37741 0.41479 0.6544 0.0833 2 2 8.6549 0.18475 9.7564 7.63686 7.09047 1.7569 0.8568 3 3 10.3784 0.13552 9.4711 8.01049 7.77997 4.7082 3.3104 4 4 13.9877 0.17487 10.1449 8.63182 8.34591 7.8699 6.3164 5 5 18.8639 1.32716 10.2084 9.40176 9.08937 10.6524 9.6837 6 6 23.9667 0.86351 11.7035 9.48459 8.87018 5.9921 3.9397 7 7 20.5378 0.82940 10.6222 9.58004 9.31534 15.8222 16.5184 OBS MTH MTRAUMA MREHAB MHIP96 MKNEE96 MFEMUR96 MSALES12 MSALESY 1 0.16667 0.00000 0.83333 0.5681 0.1006 0.8287 1.25634 1.21142 2 0.13235 0.04412 0.05882 1.7226 0.4283 2.0169 0.42665 0.38974 3 0.04545 0.06061 0.03030 4.9527 3.3867 5.5761 1.70466 1.49698 4 0.01190 0.08333 0.03571 7.8181 6.3195 8.5522 2.57560 2.32965 5 0.23881 0.25373 0.25373 10.7619 9.4927 10.7842 3.84354 3.44889 6 0.83333 0.22222 0.22222 5.1608 3.4116 7.0432 1.32706 1.09774 7 0.30435 0.21739 0.17391 15.6797 16.1569 13.1042 3.92407 3.40702 ----------------------------- CLUSTER=1 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 24 Sum Wgts 24 Mean 1.256342 Sum 30.15221 Std Dev 1.983663 Variance 3.934919 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 16 66.7 66.7 3.78419 1 4.2 87.5 1.94591 1 4.2 70.8 4.158883 1 4.2 91.7 2.197225 1 4.2 75.0 4.718499 1 4.2 95.8 3.091042 1 4.2 79.2 6.495266 1 4.2 100.0 3.7612 1 4.2 83.3 ----------------------------- CLUSTER=2 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 68 Sum Wgts 68 Mean 0.426646 Sum 29.01191 Std Dev 0.972718 Variance 0.94618 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 53 77.9 77.9 2.197225 1 1.5 92.6 0.693147 4 5.9 83.8 2.484907 1 1.5 94.1 1.098612 1 1.5 85.3 2.772589 1 1.5 95.6 1.386294 2 2.9 88.2 3.135494 1 1.5 97.1 1.609438 1 1.5 89.7 3.89182 1 1.5 98.5 1.94591 1 1.5 91.2 4.330733 1 1.5 100.0 ----------------------------- CLUSTER=3 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 66 Sum Wgts 66 Mean 1.704658 Sum 112.5074 Std Dev 1.663954 Variance 2.768744 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 27 40.9 40.9 3.367296 2 3.0 77.3 0.693147 1 1.5 42.4 3.401197 1 1.5 78.8 1.098612 3 4.5 47.0 3.465736 1 1.5 80.3 1.386294 2 3.0 50.0 3.496508 1 1.5 81.8 1.609438 2 3.0 53.0 3.555348 1 1.5 83.3 1.791759 2 3.0 56.1 3.688879 1 1.5 84.8 1.94591 2 3.0 59.1 3.73767 1 1.5 86.4 2.302585 1 1.5 60.6 3.912023 1 1.5 87.9 2.639057 2 3.0 63.6 3.988984 2 3.0 90.9 2.70805 1 1.5 65.2 4.158883 1 1.5 92.4 2.833213 1 1.5 66.7 4.219508 1 1.5 93.9 3.091042 2 3.0 69.7 4.430817 1 1.5 95.5 3.135494 1 1.5 71.2 4.442651 1 1.5 97.0 3.178054 1 1.5 72.7 4.454347 1 1.5 98.5 3.258097 1 1.5 74.2 4.49981 1 1.5 100.0 ----------------------------- CLUSTER=4 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 84 Sum Wgts 84 Mean 2.575605 Sum 216.3508 Std Dev 1.818048 Variance 3.305299 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 20 23.8 23.8 3.850148 1 1.2 69.0 0.693147 1 1.2 25.0 3.89182 1 1.2 70.2 1.098612 2 2.4 27.4 3.931826 1 1.2 71.4 1.386294 2 2.4 29.8 3.988984 2 2.4 73.8 1.609438 2 2.4 32.1 4.007333 1 1.2 75.0 1.94591 4 4.8 36.9 4.025352 2 2.4 77.4 2.079442 1 1.2 38.1 4.110874 1 1.2 78.6 2.197225 1 1.2 39.3 4.127134 1 1.2 79.8 2.302585 3 3.6 42.9 4.219508 2 2.4 82.1 2.397895 1 1.2 44.0 4.418841 1 1.2 83.3 2.484907 3 3.6 47.6 4.442651 1 1.2 84.5 2.564949 1 1.2 48.8 4.465908 1 1.2 85.7 2.70805 1 1.2 50.0 4.51086 1 1.2 86.9 2.772589 1 1.2 51.2 4.672829 1 1.2 88.1 2.995732 2 2.4 53.6 4.691348 1 1.2 89.3 3.091042 1 1.2 54.8 4.727388 1 1.2 90.5 3.135494 1 1.2 56.0 4.919981 1 1.2 91.7 3.218876 1 1.2 57.1 4.934474 1 1.2 92.9 3.367296 2 2.4 59.5 4.955827 1 1.2 94.0 3.401197 2 2.4 61.9 5.17615 1 1.2 95.2 3.496508 1 1.2 63.1 5.455321 1 1.2 96.4 3.663562 1 1.2 64.3 5.484797 1 1.2 97.6 3.73767 2 2.4 66.7 5.940171 1 1.2 98.8 3.828641 1 1.2 67.9 5.981414 1 1.2 100.0 ----------------------------- CLUSTER=5 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 67 Sum Wgts 67 Mean 3.843541 Sum 257.5172 Std Dev 1.773597 Variance 3.145648 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 7 10.4 10.4 4.574711 1 1.5 61.2 0.693147 2 3.0 13.4 4.634729 1 1.5 62.7 1.386294 2 3.0 16.4 4.70953 1 1.5 64.2 2.639057 1 1.5 17.9 4.744932 1 1.5 65.7 2.772589 1 1.5 19.4 4.812184 1 1.5 67.2 2.890372 1 1.5 20.9 4.836282 1 1.5 68.7 3.135494 1 1.5 22.4 4.882802 1 1.5 70.1 3.178054 1 1.5 23.9 4.912655 1 1.5 71.6 3.218876 1 1.5 25.4 4.955827 1 1.5 73.1 3.583519 1 1.5 26.9 4.990433 1 1.5 74.6 3.610918 3 4.5 31.3 4.997212 1 1.5 76.1 3.713572 2 3.0 34.3 5.087596 1 1.5 77.6 3.73767 1 1.5 35.8 5.123964 1 1.5 79.1 3.78419 1 1.5 37.3 5.153292 1 1.5 80.6 3.806662 1 1.5 38.8 5.159055 1 1.5 82.1 3.828641 2 3.0 41.8 5.181784 1 1.5 83.6 4.077537 1 1.5 43.3 5.283204 1 1.5 85.1 4.094345 1 1.5 44.8 5.327876 1 1.5 86.6 4.127134 1 1.5 46.3 5.351858 1 1.5 88.1 4.234107 1 1.5 47.8 5.541264 1 1.5 89.6 4.304065 1 1.5 49.3 5.63479 1 1.5 91.0 4.317488 1 1.5 50.7 5.855072 1 1.5 92.5 4.330733 1 1.5 52.2 5.978886 1 1.5 94.0 4.369448 1 1.5 53.7 5.998937 1 1.5 95.5 4.454347 1 1.5 55.2 6.135565 1 1.5 97.0 4.51086 1 1.5 56.7 6.363028 1 1.5 98.5 4.521789 1 1.5 58.2 6.561031 1 1.5 100.0 4.564348 1 1.5 59.7 ----------------------------- CLUSTER=6 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 18 Sum Wgts 18 Mean 1.327065 Sum 23.88716 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 9 50.0 50.0 3.465736 1 5.6 83.3 0.693147 2 11.1 61.1 4.51086 1 5.6 88.9 1.098612 1 5.6 66.7 4.59512 1 5.6 94.4 1.386294 1 5.6 72.2 5.141664 1 5.6 100.0 2.302585 1 5.6 77.8 ----------------------------- CLUSTER=7 ------------------------------ Univariate Procedure Variable=SALES12 Moments N 23 Sum Wgts 23 Mean 3.924067 Sum 90.25353 Std Dev 1.91426 Variance 3.66439 Frequency Table Percents Percents Value Count Cell Cum Value Count Cell Cum 0 2 8.7 8.7 4.369448 1 4.3 52.2 1.098612 1 4.3 13.0 4.919981 1 4.3 56.5 1.386294 1 4.3 17.4 5.062595 2 8.7 65.2 1.94591 1 4.3 21.7 5.075174 1 4.3 69.6 2.079442 1 4.3 26.1 5.231109 1 4.3 73.9 3.295837 1 4.3 30.4 5.278115 1 4.3 78.3 3.828641 1 4.3 34.8 5.572154 1 4.3 82.6 3.951244 1 4.3 39.1 5.717028 2 8.7 91.3 4.158883 1 4.3 43.5 6.054439 1 4.3 95.7 4.248495 1 4.3 47.8 6.200509 1 4.3 100.0 Plot of R2CHANGE*NCLUS. Legend: A = 1 obs, B = 2 obs, etc. R2CHANGE | 0.12 + | | A | | | | 0.10 + | | | | | | 0.08 + | | | | | | A 0.06 + | | | | A | | 0.04 + | A | | A | | | 0.02 + | | A | | AAAAAAA | AAAA | AAAAAAAAAAAA 0.00 + ---+---------+---------+---------+-- 0 10 20 30 NCLUS