Small Sample Frequency Distribution of Stepped-Up Reliability Coefficients Based on Split-Halves

Author(s):

Kristof, Walter

Publication Year:

1962

Report Number:

RB-62-19

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

18

Subject/Key Words:

Office of Naval Research, Maximum Likelihood Statistics, Sample Size, Split-Half Test Reliability, Statistical Bias, Test Reliability

Abstract

Maximum-likelihood estimates of stepped-up reliability coefficients are developed and their sampling distributions derived. These estimates turn out to be biased. So new unbiased estimates are developed with even smaller sampling variances and recommended for general use whenever some statistical assumptions about the test halves hold. Finally, some statistical tests based on the sampling distributions are described.

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• http://dx.doi.org/10.1002/j.2333-8504.1962.tb00297.x