## An Empirical Investigation of the Accuracy of a Step-up Method for Estimating Test Score Conditional Variances |

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ACT Assessment Program American College Testing ANOVA Appendix classical test theory combined to yield computed conditional standard deviations conditional standard error CSEE estimates CSEP dissattenuated correlations Empirical Investigation English items error of measurement Estimating Test Score estimation CSEE examinees Exz and XI F-CSEM Feldt Figure 1a Figure 3a four half-length tests four parallel half-length full-length CSEP(X1 X2 full-length test conditional full-length test estimates full-length test score H{EX2 I XI half-length test conditional half-length test estimates length tests Mathematics items measurement CSEM Method for Estimating MIDPT Natural Sciences items parallel full-length tests parallel half-length tests prediction CSEMP quadratic polynomial smoothing Score Conditional Variances score scale Social Studies items squared conditional standard STANFORD UNIVERSITY step-up formulas stepped-up half-length CSEP*[X(Y4)|X*(Y3 stepped-up half-length test test conditional standard test conditional variances test mean squares Test Score Conditional test score statistics test Y1 three score points Woodruff XI and X2 yield the full-length Yl and Y2