The SAS System 15:51 Monday, May 21, 2001 1 Cumulative Cumulative COUNTY Frequency Percent Frequency Percent ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ Alameda CA 756 11.1 756 11.1 Contra Costa CA 756 11.1 1512 22.2 Los Angeles CA 756 11.1 2268 33.3 Orange CA 756 11.1 3024 44.4 Riverside CA 756 11.1 3780 55.6 Sacramento CA 756 11.1 4536 66.7 San Bernardino CA 756 11.1 5292 77.8 San Diego CA 756 11.1 6048 88.9 Santa Clara CA 756 11.1 6804 100.0 The SAS System 15:51 Monday, May 21, 2001 2 TABLE OF YEAR BY MONTH YEAR MONTH Frequency‚ Percent ‚ Row Pct ‚ Col Pct ‚ 1‚ 2‚ 3‚ 4‚ 5‚ 6‚ Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 91 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 92 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 93 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 94 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 95 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 96 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 97 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 98 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 99 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total 567 567 567 567 567 567 6804 8.33 8.33 8.33 8.33 8.33 8.33 100.00 (Continued) The SAS System 15:51 Monday, May 21, 2001 3 TABLE OF YEAR BY MONTH YEAR MONTH Frequency‚ Percent ‚ Row Pct ‚ Col Pct ‚ 7‚ 8‚ 9‚ 10‚ 11‚ 12‚ Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 91 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 92 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 93 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 94 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 95 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 96 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 97 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 98 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 99 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 63 ‚ 756 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 0.93 ‚ 11.11 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ 8.33 ‚ ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ 11.11 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total 567 567 567 567 567 567 6804 8.33 8.33 8.33 8.33 8.33 8.33 100.00 The SAS System 15:51 Monday, May 21, 2001 4 General Linear Models Procedure Class Level Information Class Levels Values COUNTY 9 Alameda CA Contra Costa CA Los Angeles CA Orange CA Riverside CA Sacramento CA San Bernardino C San Diego CA Santa Clara CA Number of observations in data set = 972 The SAS System 15:51 Monday, May 21, 2001 5 General Linear Models Procedure Dependent Variable: X1 Sum of Mean Source DF Squares Square F Value Pr > F Model 8 6.532210E+12 8.165263E+11 35025.23 0.0001 Error 963 2.244996E+10 2.331252E+07 Corrected Total 971 6.554660E+12 R-Square C.V. Root MSE X1 Mean 0.996575 5.608326 4828.3040 86091.708 Source DF Type I SS Mean Square F Value Pr > F COUNTY 8 6.532210E+12 8.165263E+11 35025.23 0.0001 Source DF Type III SS Mean Square F Value Pr > F COUNTY 8 6.532210E+12 8.165263E+11 35025.23 0.0001 The SAS System 15:51 Monday, May 21, 2001 6 General Linear Models Procedure Waller-Duncan K-ratio T test for variable: X1 NOTE: This test minimizes the Bayes risk under additive loss and certain other assumptions. Kratio= 100 df= 963 MSE= 23312519 F= 35025.23 Critical Value of T= 1.73379 Minimum Significant Difference= 1139.2 Means with the same letter are not significantly different. Waller Grouping Mean N COUNTY A 306007.4 108 Los Angeles CA B 108393.2 108 Orange CA C 99247.6 108 San Diego CA D 60432.8 108 Santa Clara CA E 47808.7 108 Alameda CA F 43395.8 108 San Bernardino C F F 42286.2 108 Sacramento CA G 39915.7 108 Riverside CA H 27338.0 108 Contra Costa CA The SAS System 15:51 Monday, May 21, 2001 7 General Linear Models Procedure T tests (LSD) for variable: X1 NOTE: This test controls the type I comparisonwise error rate not the experimentwise error rate. Alpha= 0.05 df= 963 MSE= 23312519 Critical Value of T= 1.96 Least Significant Difference= 1289.4 Means with the same letter are not significantly different. T Grouping Mean N COUNTY A 306007.4 108 Los Angeles CA B 108393.2 108 Orange CA C 99247.6 108 San Diego CA D 60432.8 108 Santa Clara CA E 47808.7 108 Alameda CA F 43395.8 108 San Bernardino C F F 42286.2 108 Sacramento CA G 39915.7 108 Riverside CA H 27338.0 108 Contra Costa CA The SAS System 15:51 Monday, May 21, 2001 8 General Linear Models Procedure Class Level Information Class Levels Values COUNTY 9 Alameda CA Contra Costa CA Los Angeles CA Orange CA Riverside CA Sacramento CA San Bernardino C San Diego CA Santa Clara CA Number of observations in data set = 972 The SAS System 15:51 Monday, May 21, 2001 9 General Linear Models Procedure Dependent Variable: X3 Sum of Mean Source DF Squares Square F Value Pr > F Model 8 508462987398 63557873425 1364.36 0.0001 Error 963 44860900091 46584528 Corrected Total 971 553323887488 R-Square C.V. Root MSE X3 Mean 0.918925 34.48443 6825.2859 19792.369 Source DF Type I SS Mean Square F Value Pr > F COUNTY 8 508462987398 63557873425 1364.36 0.0001 Source DF Type III SS Mean Square F Value Pr > F COUNTY 8 508462987398 63557873425 1364.36 0.0001 The SAS System 15:51 Monday, May 21, 2001 10 General Linear Models Procedure Waller-Duncan K-ratio T test for variable: X3 NOTE: This test minimizes the Bayes risk under additive loss and certain other assumptions. Kratio= 100 df= 963 MSE= 46584528 F= 1364.356 Critical Value of T= 1.73441 Minimum Significant Difference= 1610.9 Means with the same letter are not significantly different. Waller Grouping Mean N COUNTY A 80451.4 108 Los Angeles CA B 25986.3 108 San Diego CA B B 25600.4 108 Orange CA C 12202.2 108 Riverside CA C D C 10602.7 108 Sacramento CA D D 10544.7 108 Santa Clara CA E 5253.4 108 Alameda CA E E 4838.1 108 San Bernardino C F 2652.1 108 Contra Costa CA The SAS System 15:51 Monday, May 21, 2001 11 General Linear Models Procedure T tests (LSD) for variable: X3 NOTE: This test controls the type I comparisonwise error rate not the experimentwise error rate. Alpha= 0.05 df= 963 MSE= 46584528 Critical Value of T= 1.96 Least Significant Difference= 1822.7 Means with the same letter are not significantly different. T Grouping Mean N COUNTY A 80451.4 108 Los Angeles CA B 25986.3 108 San Diego CA B B 25600.4 108 Orange CA C 12202.2 108 Riverside CA C C 10602.7 108 Sacramento CA C C 10544.7 108 Santa Clara CA D 5253.4 108 Alameda CA D D 4838.1 108 San Bernardino C E 2652.1 108 Contra Costa CA The SAS System 15:51 Monday, May 21, 2001 12 Model: MODEL1 Dependent Variable: X1 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 1.3516582E12 1.3516582E12 251.991 0.0001 Error 970 5.2030018E12 5363919373 C Total 971 6.55466E12 Root MSE 73238.78326 R-square 0.2062 Dep Mean 86091.70782 Adj R-sq 0.2054 C.V. 85.07066 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 80188 2378.3947786 33.715 0.0001 GRADECRD 1 244031 15372.785984 15.874 0.0001 The SAS System 15:51 Monday, May 21, 2001 13 Model: MODEL1 Dependent Variable: X3 Analysis of Variance Sum of Mean Source DF Squares Square F Value Prob>F Model 1 109958763904 109958763904 240.569 0.0001 Error 970 443365123585 457077446.99 C Total 971 553323887488 Root MSE 21379.36966 R-square 0.1987 Dep Mean 19792.36934 Adj R-sq 0.1979 C.V. 108.01824 Parameter Estimates Parameter Standard T for H0: Variable DF Estimate Error Parameter=0 Prob > |T| INTERCEP 1 18108 694.28489802 26.082 0.0001 GRADECRD 1 69603 4487.5195848 15.510 0.0001 The SAS System 15:51 Monday, May 21, 2001 14 General Linear Models Procedure Class Level Information Class Levels Values YEAR 9 91 92 93 94 95 96 97 98 99 MONTH 12 1 2 3 4 5 6 7 8 9 10 11 12 Number of observations in data set = 972 The SAS System 15:51 Monday, May 21, 2001 15 General Linear Models Procedure Dependent Variable: X1 Sum of Mean Source DF Squares Square F Value Pr > F Model 108 1.434049E+12 1.327823E+10 2.24 0.0001 Error 863 5.120611E+12 5.933500E+09 Corrected Total 971 6.554660E+12 R-Square C.V. Root MSE X1 Mean 0.218783 89.47344 77029.217 86091.708 Source DF Type I SS Mean Square F Value Pr > F GRADECRD 1 1.351658E+12 1.351658E+12 227.80 0.0001 YEAR*MONTH 107 8.239111E+10 7.700104E+08 0.13 1.0000 Source DF Type III SS Mean Square F Value Pr > F GRADECRD 1 1.422332E+12 1.422332E+12 239.71 0.0001 YEAR*MONTH 107 8.239111E+10 7.700104E+08 0.13 1.0000 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 65049.6661 B 2.53 0.0117 25745.28712 GRADECRD 262248.0048 15.48 0.0001 16938.19968 YEAR*MONTH 91 1 17252.5561 B 0.47 0.6353 36360.66020 91 2 17613.0005 B 0.48 0.6282 36360.66020 91 3 18204.5561 B 0.50 0.6167 36360.66020 91 4 18382.8894 B 0.51 0.6133 36360.66020 91 5 19571.6672 B 0.54 0.5905 36360.66020 91 6 20038.4450 B 0.55 0.5817 36360.66020 91 7 19580.8894 B 0.54 0.5904 36360.66020 91 8 19761.1116 B 0.54 0.5869 36360.66020 91 9 19826.3339 B 0.55 0.5857 36360.66020 91 10 19048.4450 B 0.52 0.6005 36360.66020 91 11 19936.2228 B 0.55 0.5836 36360.66020 91 12 20346.5561 B 0.56 0.5759 36360.66020 92 1 15898.4450 B 0.44 0.6620 36360.66020 92 2 16071.2228 B 0.44 0.6586 36360.66020 92 3 16638.3339 B 0.46 0.6474 36360.66020 92 4 17565.2228 B 0.48 0.6292 36360.66020 92 5 18198.3339 B 0.50 0.6169 36360.66020 92 6 18471.6672 B 0.51 0.6116 36360.66020 92 7 18790.2228 B 0.52 0.6054 36360.66020 92 8 18888.3339 B 0.52 0.6036 36360.66020 92 9 19162.4450 B 0.53 0.5983 36360.66020 92 10 18322.8894 B 0.50 0.6144 36360.66020 92 11 18388.1116 B 0.51 0.6132 36360.66020 92 12 18850.6672 B 0.52 0.6043 36360.66020 93 1 15366.8894 B 0.42 0.6727 36360.66020 93 2 15704.4450 B 0.43 0.6659 36360.66020 93 3 16250.0005 B 0.45 0.6551 36360.66020 The SAS System 15:51 Monday, May 21, 2001 16 General Linear Models Procedure Dependent Variable: X1 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate YEAR*MONTH 93 4 16846.0005 B 0.46 0.6433 36360.66020 93 5 18084.2228 B 0.50 0.6191 36360.66020 93 6 18448.5561 B 0.51 0.6120 36360.66020 93 7 17942.6672 B 0.49 0.6218 36360.66020 93 8 18044.8894 B 0.50 0.6198 36360.66020 93 9 18288.7783 B 0.50 0.6151 36360.66020 93 10 17241.4450 B 0.47 0.6355 36360.66020 93 11 17308.1116 B 0.48 0.6342 36360.66020 93 12 17911.3339 B 0.49 0.6224 36360.66020 94 1 15834.1116 B 0.44 0.6633 36360.66020 94 2 16406.1116 B 0.45 0.6520 36360.66020 94 3 17226.8894 B 0.47 0.6358 36360.66020 94 4 17138.0005 B 0.47 0.6375 36360.66020 94 5 17981.1116 B 0.49 0.6211 36360.66020 94 6 18465.2228 B 0.51 0.6117 36360.66020 94 7 18170.0005 B 0.50 0.6174 36360.66020 94 8 18254.3339 B 0.50 0.6158 36360.66020 94 9 18430.3339 B 0.51 0.6124 36360.66020 94 10 17569.7783 B 0.48 0.6291 36360.66020 94 11 17909.0005 B 0.49 0.6225 36360.66020 94 12 18770.3339 B 0.52 0.6058 36360.66020 95 1 17550.8894 B 0.48 0.6294 36360.66020 95 2 18295.4450 B 0.50 0.6150 36360.66020 95 3 19067.0005 B 0.52 0.6001 36360.66020 95 4 19680.6672 B 0.54 0.5885 36360.66020 95 5 20579.2228 B 0.57 0.5716 36360.66020 95 6 21307.6672 B 0.59 0.5580 36360.66020 95 7 20761.7783 B 0.57 0.5682 36360.66020 95 8 21262.6672 B 0.58 0.5589 36360.66020 95 9 21711.6672 B 0.60 0.5506 36360.66020 95 10 20406.1116 B 0.56 0.5748 36360.66020 95 11 21341.2228 B 0.59 0.5574 36360.66020 95 12 22344.7783 B 0.61 0.5390 36360.66020 96 1 19241.7783 B 0.53 0.5968 36360.66020 96 2 20179.5561 B 0.55 0.5790 36360.66020 96 3 20469.1116 B 0.56 0.5736 36360.66020 96 4 21263.3339 B 0.58 0.5588 36360.66020 96 5 22454.2228 B 0.62 0.5370 36360.66020 96 6 22118.8894 B 0.61 0.5431 36360.66020 96 7 22399.6672 B 0.62 0.5380 36360.66020 96 8 22674.6672 B 0.62 0.5331 36360.66020 96 9 22597.1116 B 0.62 0.5345 36360.66020 96 10 22625.5561 B 0.62 0.5339 36360.66020 96 11 23224.6672 B 0.64 0.5232 36360.66020 96 12 24429.5561 B 0.67 0.5018 36360.66020 97 1 20940.4450 B 0.58 0.5648 36360.66020 97 2 21712.0005 B 0.60 0.5506 36360.66020 97 3 22442.5561 B 0.62 0.5373 36360.66020 97 4 23389.1116 B 0.64 0.5202 36360.66020 97 5 24450.0005 B 0.67 0.5015 36360.66020 97 6 24902.1116 B 0.68 0.4936 36360.66020 97 7 23821.4450 B 0.66 0.5126 36360.66020 97 8 24137.6672 B 0.66 0.5070 36360.66020 The SAS System 15:51 Monday, May 21, 2001 17 General Linear Models Procedure Dependent Variable: X1 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate YEAR*MONTH 97 9 24448.8894 B 0.67 0.5015 36360.66020 97 10 22644.0005 B 0.62 0.5336 36360.66020 97 11 22997.8894 B 0.63 0.5272 36360.66020 97 12 23713.3339 B 0.65 0.5145 36360.66020 98 1 6572.9107 B 0.18 0.8564 36323.33819 98 2 -6712.8889 B -0.18 0.8534 36311.92095 98 3 -6224.1111 B -0.17 0.8639 36311.92095 98 4 -5818.6667 B -0.16 0.8727 36311.92095 98 5 -4785.6667 B -0.13 0.8952 36311.92095 98 6 -4265.1111 B -0.12 0.9065 36311.92095 98 7 -3634.2222 B -0.10 0.9203 36311.92095 98 8 -3179.2222 B -0.09 0.9303 36311.92095 98 9 -2733.8889 B -0.08 0.9400 36311.92095 98 10 -4322.5556 B -0.12 0.9053 36311.92095 98 11 -3702.3333 B -0.10 0.9188 36311.92095 98 12 -2887.5556 B -0.08 0.9366 36311.92095 99 1 -4916.5556 B -0.14 0.8923 36311.92095 99 2 -3867.1111 B -0.11 0.9152 36311.92095 99 3 -3202.4444 B -0.09 0.9297 36311.92095 99 4 -2782.5556 B -0.08 0.9389 36311.92095 99 5 -1969.4444 B -0.05 0.9568 36311.92095 99 6 -1619.5556 B -0.04 0.9644 36311.92095 99 7 -1253.3333 B -0.03 0.9725 36311.92095 99 8 -985.3333 B -0.03 0.9784 36311.92095 99 9 -552.0000 B -0.02 0.9879 36311.92095 99 10 -1026.4444 B -0.03 0.9775 36311.92095 99 11 -807.8889 B -0.02 0.9823 36311.92095 99 12 0.0000 B . . . NOTE: The X'X matrix has been found to be singular and a generalized inverse was used to solve the normal equations. Estimates followed by the letter 'B' are biased, and are not unique estimators of the parameters. The SAS System 15:51 Monday, May 21, 2001 18 General Linear Models Procedure Class Level Information Class Levels Values YEAR 9 91 92 93 94 95 96 97 98 99 MONTH 12 1 2 3 4 5 6 7 8 9 10 11 12 Number of observations in data set = 972 The SAS System 15:51 Monday, May 21, 2001 19 General Linear Models Procedure Dependent Variable: X3 Sum of Mean Source DF Squares Square F Value Pr > F Model 108 130670984797 1209916526 2.47 0.0001 Error 863 422652902692 489748439 Corrected Total 971 553323887488 R-Square C.V. Root MSE X3 Mean 0.236156 111.8121 22130.261 19792.369 Source DF Type I SS Mean Square F Value Pr > F GRADECRD 1 109958763904 109958763904 224.52 0.0001 YEAR*MONTH 107 20712220893 193572158 0.40 1.0000 Source DF Type III SS Mean Square F Value Pr > F GRADECRD 1 118783419777 118783419777 242.54 0.0001 YEAR*MONTH 107 20712220893 193572158 0.40 1.0000 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 5447.87544 B 0.74 0.4616 7396.54304 GRADECRD 75786.12107 15.57 0.0001 4866.29348 YEAR*MONTH 91 1 15997.34679 B 1.53 0.1260 10446.30758 91 2 18390.01345 B 1.76 0.0787 10446.30758 91 3 19233.23567 B 1.84 0.0659 10446.30758 91 4 20661.79123 B 1.98 0.0483 10446.30758 91 5 21765.23567 B 2.08 0.0375 10446.30758 91 6 21537.45790 B 2.06 0.0395 10446.30758 91 7 22180.45790 B 2.12 0.0340 10446.30758 91 8 21674.90234 B 2.07 0.0383 10446.30758 91 9 21381.79123 B 2.05 0.0410 10446.30758 91 10 14255.12456 B 1.36 0.1727 10446.30758 91 11 11928.23567 B 1.14 0.2538 10446.30758 91 12 8835.23567 B 0.85 0.3979 10446.30758 92 1 9597.34679 B 0.92 0.3585 10446.30758 92 2 12218.56901 B 1.17 0.2425 10446.30758 92 3 13290.01345 B 1.27 0.2036 10446.30758 92 4 12948.34679 B 1.24 0.2155 10446.30758 92 5 13177.45790 B 1.26 0.2075 10446.30758 92 6 12933.12456 B 1.24 0.2160 10446.30758 92 7 13157.01345 B 1.26 0.2082 10446.30758 92 8 13488.34679 B 1.29 0.1970 10446.30758 92 9 13259.68012 B 1.27 0.2047 10446.30758 92 10 12530.90234 B 1.20 0.2306 10446.30758 92 11 9577.90234 B 0.92 0.3595 10446.30758 92 12 6870.56901 B 0.66 0.5109 10446.30758 93 1 9068.01345 B 0.87 0.3856 10446.30758 93 2 11337.68012 B 1.09 0.2781 10446.30758 93 3 12516.56901 B 1.20 0.2312 10446.30758 The SAS System 15:51 Monday, May 21, 2001 20 General Linear Models Procedure Dependent Variable: X3 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate YEAR*MONTH 93 4 12313.01345 B 1.18 0.2388 10446.30758 93 5 14020.01345 B 1.34 0.1799 10446.30758 93 6 14035.79123 B 1.34 0.1794 10446.30758 93 7 19674.12456 B 1.88 0.0600 10446.30758 93 8 19771.56901 B 1.89 0.0587 10446.30758 93 9 19804.23567 B 1.90 0.0583 10446.30758 93 10 17130.68012 B 1.64 0.1014 10446.30758 93 11 13978.45790 B 1.34 0.1812 10446.30758 93 12 11115.45790 B 1.06 0.2876 10446.30758 94 1 10306.34679 B 0.99 0.3241 10446.30758 94 2 12557.79123 B 1.20 0.2296 10446.30758 94 3 13769.45790 B 1.32 0.1878 10446.30758 94 4 13739.56901 B 1.32 0.1888 10446.30758 94 5 14401.34679 B 1.38 0.1684 10446.30758 94 6 14228.34679 B 1.36 0.1735 10446.30758 94 7 13698.90234 B 1.31 0.1901 10446.30758 94 8 13309.68012 B 1.27 0.2030 10446.30758 94 9 12895.01345 B 1.23 0.2174 10446.30758 94 10 11127.23567 B 1.07 0.2871 10446.30758 94 11 7019.01345 B 0.67 0.5018 10446.30758 94 12 4391.56901 B 0.42 0.6743 10446.30758 95 1 9117.45790 B 0.87 0.3830 10446.30758 95 2 11726.56901 B 1.12 0.2619 10446.30758 95 3 13330.34679 B 1.28 0.2023 10446.30758 95 4 14347.68012 B 1.37 0.1700 10446.30758 95 5 15036.45790 B 1.44 0.1504 10446.30758 95 6 15100.79123 B 1.45 0.1487 10446.30758 95 7 15104.68012 B 1.45 0.1486 10446.30758 95 8 14728.79123 B 1.41 0.1589 10446.30758 95 9 14984.23567 B 1.43 0.1518 10446.30758 95 10 13168.45790 B 1.26 0.2078 10446.30758 95 11 10176.34679 B 0.97 0.3303 10446.30758 95 12 7730.56901 B 0.74 0.4595 10446.30758 96 1 11443.79123 B 1.10 0.2736 10446.30758 96 2 14360.12456 B 1.37 0.1696 10446.30758 96 3 15339.01345 B 1.47 0.1424 10446.30758 96 4 16935.90234 B 1.62 0.1053 10446.30758 96 5 17472.23567 B 1.67 0.0948 10446.30758 96 6 16536.23567 B 1.58 0.1138 10446.30758 96 7 17379.56901 B 1.66 0.0965 10446.30758 96 8 17201.90234 B 1.65 0.1000 10446.30758 96 9 16733.56901 B 1.60 0.1096 10446.30758 96 10 16327.56901 B 1.56 0.1184 10446.30758 96 11 12457.01345 B 1.19 0.2334 10446.30758 96 12 10445.90234 B 1.00 0.3176 10446.30758 97 1 13147.34679 B 1.26 0.2085 10446.30758 97 2 15232.79123 B 1.46 0.1451 10446.30758 97 3 16157.34679 B 1.55 0.1223 10446.30758 97 4 17075.23567 B 1.63 0.1025 10446.30758 97 5 17733.90234 B 1.70 0.0899 10446.30758 97 6 17649.79123 B 1.69 0.0915 10446.30758 97 7 17043.79123 B 1.63 0.1031 10446.30758 97 8 16927.56901 B 1.62 0.1055 10446.30758 The SAS System 15:51 Monday, May 21, 2001 21 General Linear Models Procedure Dependent Variable: X3 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate YEAR*MONTH 97 9 17039.01345 B 1.63 0.1032 10446.30758 97 10 14114.90234 B 1.35 0.1770 10446.30758 97 11 10498.23567 B 1.00 0.3152 10446.30758 97 12 6978.45790 B 0.67 0.5043 10446.30758 98 1 7104.07819 B 0.68 0.4962 10435.58508 98 2 6060.77778 B 0.58 0.5614 10432.30494 98 3 6898.44444 B 0.66 0.5086 10432.30494 98 4 7846.77778 B 0.75 0.4522 10432.30494 98 5 8210.66667 B 0.79 0.4315 10432.30494 98 6 8024.77778 B 0.77 0.4420 10432.30494 98 7 8724.55556 B 0.84 0.4032 10432.30494 98 8 8551.88889 B 0.82 0.4126 10432.30494 98 9 8897.33333 B 0.85 0.3940 10432.30494 98 10 5938.66667 B 0.57 0.5693 10432.30494 98 11 2698.11111 B 0.26 0.7960 10432.30494 98 12 -5.55556 B -0.00 0.9996 10432.30494 99 1 4759.66667 B 0.46 0.6483 10432.30494 99 2 7052.00000 B 0.68 0.4992 10432.30494 99 3 7898.55556 B 0.76 0.4492 10432.30494 99 4 8344.11111 B 0.80 0.4240 10432.30494 99 5 8579.77778 B 0.82 0.4111 10432.30494 99 6 8408.00000 B 0.81 0.4205 10432.30494 99 7 8163.22222 B 0.78 0.4341 10432.30494 99 8 7806.33333 B 0.75 0.4545 10432.30494 99 9 7783.00000 B 0.75 0.4558 10432.30494 99 10 6347.22222 B 0.61 0.5431 10432.30494 99 11 3207.55556 B 0.31 0.7586 10432.30494 99 12 0.00000 B . . . NOTE: The X'X matrix has been found to be singular and a generalized inverse was used to solve the normal equations. Estimates followed by the letter 'B' are biased, and are not unique estimators of the parameters.