Theory of Mental Tests
This classic volume outlines, for both students and professionals, the mathematical theories and equations that are necessary for evaluating a test and for quantifying its characteristics. The author utilizes formulas that evaluate both the reliability and the validity of tests. He also provides the means for evaluating the reliability and validity of total test scores and individual item analysis. The work remains one of the only books on classical test theory to discuss applications, "true score" theory, the effect of test length on reliability and validity, and the effects of univariate and multivariate selection on validity.
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BASIC EQUATIONS DERIVED FROM A DEFINITION OF RANDOM ERROR
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assumed assumption cent Chapter 11 complete information computing diagram consider corrected for attenuation correlation definition of parallel derived designate difference distribution Dividing equal equation 19 equation 20 error of estimate error of measurement error scores error variance explicit selection variable Figure given by equation gives graph gross score halves incidental selection variables increase index of reliability indicated intercorrelations kurtosis Lmvc matrix means and standard method noted number of items observed score observed variance obtain parallel forms parallel tests persons predicting problem random errors regression relationship reliabil reliability coefficient rxy2 Spearman-Brown formula square root standard deviation standard error standard score subscripts Substituting equations Taking the square test length test reliability test score tion true and error true score true variance unit test validity coefficient variable subject variance-covariance matrix variances and covariances write zero