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The Mathematical Theory of Communication by Claude Shannon
The Mathematical Theory of Communication by Claude Shannon












Parallel split coefficients are shown to be unnecessary for tests of common types.

The Mathematical Theory of Communication by Claude Shannon The Mathematical Theory of Communication by Claude Shannon

Comparison is made to the Guttman and Loevinger approaches. , derived from α, is shown to be an index of inter-item homogeneity. Tests divisible into distinct subtests should be so divided before using the formula. α is found to be an appropriate index of equivalence and, except for very short tests, of the first-factor concentration in the test. α is therefore an estimate of the correlation between two random samples of items from a universe of items like those in the test.

The Mathematical Theory of Communication by Claude Shannon

Abstract: A general formula (α) of which a special case is the Kuder-Richardson coefficient of equivalence is shown to be the mean of all split-half coefficients resulting from different splittings of a test.














The Mathematical Theory of Communication by Claude Shannon