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The name of this formula stems from the fact that is the twentieth formula discussed in Kuder and Richardson's seminal paper on test reliability. [1] It is a special case of Cronbach's α, computed for dichotomous scores. [2] [3] It is often claimed that a high KR-20 coefficient (e.g., > 0.90) indicates a homogeneous test. However, like ...
The Spearman–Brown prediction formula, also known as the Spearman–Brown prophecy formula, is a formula relating psychometric reliability to test length and used by psychometricians to predict the reliability of a test after changing the test length. [1] The method was published independently by Spearman (1910) and Brown (1910). [2] [3]
This halves reliability estimate is then stepped up to the full test length using the Spearman–Brown prediction formula. There are several ways of splitting a test to estimate reliability. For example, a 40-item vocabulary test could be split into two subtests, the first one made up of items 1 through 20 and the second made up of items 21 ...
jMetrik's item analysis includes proportion, point biserial, and biserial statistics for all response options. It calculates various reliability coefficients include Cronbach's alpha, Guttman's lambda and the Feldt-Gilmer Coefficient. The DIF analysis uses nonparametric item characteristic curves and the Mantel-Haenszel procedure, reporting ...
Cohen's kappa coefficient (κ, lowercase Greek kappa) is a statistic that is used to measure inter-rater reliability (and also intra-rater reliability) for qualitative (categorical) items. [1] It is generally thought to be a more robust measure than simple percent agreement calculation, as κ takes into account the possibility of the agreement ...
A study estimates that approximately 97% of studies use as a reliability coefficient. [3] However, simulation studies comparing the accuracy of several reliability coefficients have led to the common result that is an inaccurate reliability coefficient. [42] [43] [6] [44] [45]
The formulas given in the previous section allow one to calculate the point estimates of α and β — that is, the coefficients of the regression line for the given set of data. However, those formulas do not tell us how precise the estimates are, i.e., how much the estimators α ^ {\displaystyle {\widehat {\alpha }}} and β ^ {\displaystyle ...
The Stuart–Maxwell test is different generalization of the McNemar test, used for testing marginal homogeneity in a square table with more than two rows/columns. [12] [13] [14] The Bhapkar's test (1966) is a more powerful alternative to the Stuart–Maxwell test, [15] [16] but it tends to be liberal. Competitive alternatives to the extant ...