A Non-Parametric Test of Correlation Using Rank Orders Within Subgroups  

Oleh:

Torgerson, Warren S.

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 21 no. 2 (Jun. 1956), page 145-152.
Topik: Test. of Significance; Non-Parametric Test; Rank Orders; subgroups
Fulltext: Vol 21 no.2 June 1956 p.145-152.pdf (335.09KB)

Isi artikel

Kendall's rank order test for association between two variables is generalized to the case where the total sample is made up of several subgroups and the data on one or both variables consist of the rank order within each subgroup. The test involves no assumptions concerning scales of measurement, shapes of distributions, or relative level of excellence or amount of variability of the different subgroups. Two empirical examples indicate that the normal approximation to the exact test of significance can be considered adequate for most practical situations. Special consideration is given to the case of tied ranks. If ties occur in but one variable within any given subgroup, only a slight modification in procedure is needed. Extensive ties in both variables within subgroups lead to difficulties in determining the appropriate correction for continuity.

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