Page 1 Ramus Bootstrap Seq # ID Rate R_sqr D_Rsq T-> 8.00 8.50 9.00 9.50 1 1 1.180 94.2 1.2 47.80 48.80 49.00 49.70 2 2 1.280 97.9 .6 46.40 47.30 47.70 48.40 3 3 1.520 98.6 .3 46.30 46.80 47.80 48.50 4 4 1.420 92.4 7.4 45.10 45.30 46.10 47.20 5 5 1.100 95.3 3.9 47.60 48.50 48.90 49.30 6 6 .740 91.5 3.1 52.50 53.20 53.30 53.70 7 7 2.240 90.5 9.2 51.20 53.00 54.30 54.50 8 8 1.800 74.2 22.2 49.80 50.00 50.30 52.70 9 9 4.080 98.8 .4 48.10 50.80 52.30 54.40 10 10 2.040 90.6 4.3 45.00 47.00 47.30 48.30 11 11 .460 99.0 .8 51.20 51.40 51.60 51.90 12 12 4.960 94.5 2.5 48.50 49.20 53.00 55.50 13 13 1.920 98.0 1.9 52.10 52.80 53.70 55.00 14 14 1.040 98.8 .6 48.20 48.90 49.30 49.80 15 15 1.480 99.6 .4 49.60 50.40 51.20 51.80 16 16 1.760 98.8 1.0 50.70 51.70 52.70 53.30 17 17 1.520 96.9 3.0 47.20 47.70 48.40 49.50 18 18 1.300 87.1 12.4 53.30 54.60 55.10 55.30 19 19 1.440 90.9 8.8 46.20 47.50 48.10 48.40 20 20 4.040 92.2 .7 46.30 47.60 51.30 51.80 Page 2 Ramus Bootstrap Descriptive statistics on input data Number of cases: 20 Variable Valid N Mean S.D. Minimum Maximum X( 8.00) 20 48.6550 2.5160 45.0000 53.3000 X( 8.50) 20 49.6250 2.5396 45.3000 54.6000 X( 9.00) 20 50.5700 2.6303 46.1000 55.1000 X( 9.50) 20 51.4500 2.7321 47.2000 55.5000 Page 3 Ramus Bootstrap Cases with lowest R-square Seq # ID Rate R_sqr D_Rsq MS residual 8 8 1.800 74.2 22.2 .71 18 18 1.300 87.1 12.4 .16 Page 4 Ramus Bootstrap Cases with highest R-square Seq # ID Rate R_sqr D_Rsq MS residual 11 11 .460 99.0 .8 .00 15 15 1.480 99.6 .4 .01 Page 5 Ramus Bootstrap Cases with lowest MS Residual Seq # ID Rate R_sqr D_Rsq MS residual 11 11 .460 99.0 .8 .00 15 15 1.480 99.6 .4 .01 Page 6 Ramus Bootstrap Cases with highest MS Residual Seq # ID Rate R_sqr D_Rsq MS residual 20 20 4.040 92.2 .7 .86 12 12 4.960 94.5 2.5 .89 Page 7 Ramus Bootstrap Cases with lowest rate Seq # ID Rate R_sqr D_Rsq MS residual 11 11 .460 99.0 .8 .00 6 6 .740 91.5 3.1 .03 Page 8 Ramus Bootstrap Cases with highest rate Seq # ID Rate R_sqr D_Rsq MS residual 9 9 4.080 98.8 .4 .13 12 12 4.960 94.5 2.5 .89 Page 9 Ramus Bootstrap Observed correlations: Rate 8.00 8.50 9.00 8.00 -.188 8.50 -.074 .969 9.00 .279 .873 .921 9.50 .425 .807 .854 .967 Page 10 Ramus Bootstrap Descriptive Statistics Rate R-square MS residual Gamma Mean 1.866 93.989 .193 .826 S.D. 1.165 5.957 .285 .143 Minimum .460 74.181 .002 .474 P5 .460 74.181 .002 .474 Q1 1.180 90.882 .021 .737 Median 1.480 94.532 .046 .842 Q3 1.920 98.563 .157 .947 P95 4.080 98.997 .864 1.000 Maximum 4.960 99.564 .889 1.000 Page 11 Ramus Bootstrap PSYCHOMETRIC PROPERTIES Foulkes-Davis Tracking Index Gamma: .8263 Standard Error(Gamma): .0320 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: 8.451 Scaling Factor: 2.253 True Rate Variance: 1.203 Variance Ksi[T(zero)]: 6.109 Reliability of Rate: .886 S. E. Measurement of Rate: .393 Average Error Variance: .193 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 6.354 6.112 6.472 7.433 Var(X) 6.330 6.450 6.918 7.464 Var(Fit) 6.165 5.861 6.203 7.190 Reliability Estimates Rel(X) .970 .969 .971 .975 Rel(Fit) 1.031 1.043 1.043 1.034 Change and Initial Status B(Rate,Ksi) -.085 .010 .102 .170 R(Rate,Ksi) -.196 .022 .237 .422 Page 12 Ramus Bootstrap Disattenuated between-wave correlations: 8.00 8.50 9.00 8.50 .979 9.00 .886 .928 9.50 .816 .867 .976 Page 13 Ramus Bootstrap Disattenuated correlations: Rate 8.00 8.50 9.00 8.00 -.171 8.50 -.067 .981 9.00 .274 .883 .926 9.50 .412 .808 .862 .976 Page 14 Ramus Bootstrap PSYCHOMETRIC PROPERTIES Average Bootstrap (NB = 4000; CC = .90) Foulkes-Davis Tracking Index Mean Rate: 1.8646 Median Rate: 1.4943 Gamma: .7851 Standard Error(Gamma): .0323 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: 8.453 Scaling Factor: 2.571 True Rate Variance: 1.132 Variance Ksi[T(zero)]: 5.624 Reliability of Rate: .859 S. E. Measurement of Rate: .387 Average Error Variance: .193 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 6.022 5.793 6.130 7.033 Var(X) 6.005 6.120 6.553 7.068 Var(Fit) 5.849 5.558 5.878 6.809 Reliability Estimates Rel(X) .967 .965 .968 .972 Rel(Fit) 1.028 1.041 1.042 1.032 Change and Initial Status B(Rate,Ksi) -.084 .014 .106 .169 R(Rate,Ksi) -.187 .025 .231 .407 Page 15 Ramus Bootstrap PSYCHOMETRIC PROPERTIES 5% Trim Average Bootstrap(NB = 4000; CC = .90) Foulkes-Davis Tracking Index Mean Rate: 1.8596 Median Rate: 1.4877 Gamma: .7873 Standard Error(Gamma): .0323 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: 8.451 Scaling Factor: 2.376 True Rate Variance: 1.129 Variance Ksi[T(zero)]: 5.606 Reliability of Rate: .871 S. E. Measurement of Rate: .388 Average Error Variance: .191 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 6.004 5.769 6.108 7.024 Var(X) 5.989 6.090 6.528 7.063 Var(Fit) 5.832 5.535 5.858 6.800 Reliability Estimates Rel(X) .968 .967 .969 .973 Rel(Fit) 1.029 1.042 1.043 1.033 Change and Initial Status B(Rate,Ksi) -.083 .012 .102 .168 R(Rate,Ksi) -.191 .025 .235 .415 Page 16 Ramus Bootstrap PSYCHOMETRIC PROPERTIES Bootstrap Standard Error (NB = 4000; CC = .90) Foulkes-Davis Tracking Index Mean Rate: .2519 Median Rate: .1405 Gamma: .0647 Standard Error(Gamma): .0086 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: 1.029 Scaling Factor: 1.558 True Rate Variance: .500 Variance Ksi[T(zero)]: 1.380 Reliability of Rate: .086 S. E. Measurement of Rate: .064 Average Error Variance: .062 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 1.472 1.362 1.299 1.376 Var(X) 1.368 1.518 1.404 1.324 Var(Fit) 1.392 1.290 1.231 1.306 Reliability Estimates Rel(X) .016 .016 .014 .011 Rel(Fit) .012 .005 .005 .008 Change and Initial Status B(Rate,Ksi) .078 .079 .089 .091 R(Rate,Ksi) .168 .173 .179 .180 Page 17 Ramus Bootstrap PSYCHOMETRIC PROPERTIES 84-16 %-ile Robust SE (NB = 4000; CC = .90) Foulkes-Davis Tracking Index Mean Rate: .2545 Median Rate: .0500 Gamma: .0632 Standard Error(Gamma): .0085 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: .375 Scaling Factor: .718 True Rate Variance: .508 Variance Ksi[T(zero)]: 1.340 Reliability of Rate: .045 S. E. Measurement of Rate: .065 Average Error Variance: .063 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 1.439 1.320 1.288 1.356 Var(X) 1.347 1.480 1.381 1.331 Var(Fit) 1.361 1.250 1.218 1.286 Reliability Estimates Rel(X) .013 .014 .013 .010 Rel(Fit) .010 .005 .004 .007 Change and Initial Status B(Rate,Ksi) .073 .068 .081 .087 R(Rate,Ksi) .155 .161 .165 .158 Page 18 Ramus Bootstrap PSYCHOMETRIC PROPERTIES Lower CI (NB = 4000; CC = .90) Foulkes-Davis Tracking Index Mean Rate: 1.4740 Median Rate: 1.3000 Gamma: .6684 Standard Error(Gamma): .0184 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: 7.745 Scaling Factor: 1.473 True Rate Variance: .336 Variance Ksi[T(zero)]: 3.428 Reliability of Rate: .725 S. E. Measurement of Rate: .282 Average Error Variance: .099 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 3.664 3.654 4.100 4.809 Var(X) 3.795 3.734 4.364 4.925 Var(Fit) 3.620 3.529 3.955 4.702 Reliability Estimates Rel(X) .939 .937 .942 .952 Rel(Fit) 1.007 1.032 1.034 1.017 Change and Initial Status B(Rate,Ksi) -.215 -.103 -.018 .024 R(Rate,Ksi) -.439 -.250 -.065 .101 Page 19 Ramus Bootstrap PSYCHOMETRIC PROPERTIES Upper CI (NB = 4000; CC = .90) Foulkes-Davis Tracking Index Mean Rate: 2.2980 Median Rate: 1.8000 Gamma: .8789 Standard Error(Gamma): .0469 Blomqvist Maximum Likelihood Estimates Average Error Variance from 0% trimmed mean. Centering Point [T(zero)]: 9.171 Scaling Factor: 4.537 True Rate Variance: 1.971 Variance Ksi[T(zero)]: 8.014 Reliability of Rate: .928 S. E. Measurement of Rate: .489 Average Error Variance: .299 T -> 8.00 8.50 9.00 9.50 Variance Estimates Var(Ksi) 8.591 8.156 8.417 9.349 Var(X) 8.371 8.792 9.001 9.276 Var(Fit) 8.270 7.794 8.047 9.007 Reliability Estimates Rel(X) .985 .985 .986 .987 Rel(Fit) 1.042 1.048 1.048 1.043 Change and Initial Status B(Rate,Ksi) .034 .145 .266 .322 R(Rate,Ksi) .098 .310 .504 .663