TY - JOUR

T1 - A Test for Zero Point Triserial Correlation Coefficient and its Relationship with Tests for Homogeneity of Means with Ordered Alternatives

AU - Schechtman, Kenneth

PY - 1981/1/1

Y1 - 1981/1/1

N2 - 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).

AB - 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).

KW - correlation

KW - correlation coefficient

KW - dependent correlation coefficients

KW - exact tests

KW - ordered alternatives

KW - serial

UR - http://www.scopus.com/inward/record.url?scp=84947884295&partnerID=8YFLogxK

U2 - 10.1080/03610928108828101

DO - 10.1080/03610928108828101

M3 - Article

AN - SCOPUS:84947884295

SN - 0361-0926

VL - 10

SP - 1167

EP - 1182

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 12

ER -