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 -