Test Skewness and Kurtosis as Functions of Item Parameters  

Oleh:

Ray, William S. ; Hundleby, John D. ; Goldstein, Donald A.

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 27 no. 1 (Mar. 1962), page 39-47.
Topik: Skewness; Kurtosis; Item Parameters
Fulltext: 2701_1007.pdf (315.44KB)

Isi artikel

Indexes of skewness and kurtosis for a test-score distribution are expressed in terms of item parameters. Both are shown to depend, in part, on item means, variances, and covariances. The index of skewness depends also on trivariances. A trivariance is a product moment involving first powers of deviation scores for three items. The index of kurtosis depends on quadrivariances, as well as trivariances. A quadrivariance is a product moment involving first powers of deviation scores for four items. Empirical data are presented for responses of groups of subjects to 25 triads and 25 tetrads of items from five tests.

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