TY - JOUR
T1 - Using johnson's transformation with approximate test statistics for the simple regression slope homogeneity
AU - Luh, Wei Ming
AU - Guo, Jiin Huarng
N1 - Funding Information:
This research was supported by a National Sciences Council grant, Taiwan. Republic of China, to the first autho,: We would like to express our gratitude to the referees for their helpful comments.
PY - 2002/1/1
Y1 - 2002/1/1
N2 - The authors used Johnson's transformation with approximate test statistics to test the homogeneity of simple linear regression slopes when both xij and xij may have nonnormal distributions and there is Type I heteroscedasticity, Type II heteroscedasticity, or complete heteroscedasticity. The test statistic t was first transformed by Johnson's method for each group to correct the nonnormality and to correct the heteroscedasticity; also an approximate test, such as the Welch test or the DeShon-Alexander test, was applied to test the homogeneity of the regression slopes. Computer simulations showed that the proposed technique can control Type I error rate under various circumstances. Finally, the authors provide an example to demonstrate the calculation.
AB - The authors used Johnson's transformation with approximate test statistics to test the homogeneity of simple linear regression slopes when both xij and xij may have nonnormal distributions and there is Type I heteroscedasticity, Type II heteroscedasticity, or complete heteroscedasticity. The test statistic t was first transformed by Johnson's method for each group to correct the nonnormality and to correct the heteroscedasticity; also an approximate test, such as the Welch test or the DeShon-Alexander test, was applied to test the homogeneity of the regression slopes. Computer simulations showed that the proposed technique can control Type I error rate under various circumstances. Finally, the authors provide an example to demonstrate the calculation.
UR - https://www.scopus.com/pages/publications/0035982314
UR - https://www.scopus.com/pages/publications/0035982314#tab=citedBy
U2 - 10.1080/00220970209602057
DO - 10.1080/00220970209602057
M3 - Article
AN - SCOPUS:0035982314
SN - 0022-0973
VL - 71
SP - 69
EP - 81
JO - Journal of Experimental Education
JF - Journal of Experimental Education
IS - 1
ER -