A Test for Zero Point Triserial Correlation Coefficient and its Relationship with Tests for Homogeneity of Means with Ordered Alternatives

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Abstract

The point triserial correlation coefficient is defined and, under appropriate order restrictions, an exact test that this correlation coefficient equals zero is developed. The power function of that test is derived and partially tabulated. The general problem of testing for homogeneity of means under ordered alternatives is discussed. The available procedures for performing such tests are considered, are seen to provide alternative approaches to the test developed herein, and are compared with that test. An exact test for the equality of dependent point triserial correlation coefficients is described through application of a procedure suggested by Wolfe (1976).

Original languageEnglish
Pages (from-to)1167-1182
Number of pages16
JournalCommunications in Statistics - Theory and Methods
Volume10
Issue number12
DOIs
StatePublished - Jan 1 1981

Keywords

  • correlation
  • correlation coefficient
  • dependent correlation coefficients
  • exact tests
  • ordered alternatives
  • serial

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