The form of the Johnson-Neyman region of significance is shown to be determined by the statistic for testing the null hypothesis that the population within-group regressions are parallel. Results are obtained for both simultaneous and nonsimultaneous regions of significance.
Get full access to this article
View all access options for this article.
References
1.
Aitkin, M. A.Fixed-width confidence intervals in linear regression with applications to the Johnson-Neyman technique. British Journal of Mathematical and Statistical Psychology, 1973, 26, 261-269.
2.
Borich, G. D., Godbout, R. C., and Wunderlich, K. W.The analysis of Aptitude-Treatment Interactions: Computer programs and calculations . Austin, Texas: Oasis Press, 1976.
3.
Johnson, P. O. and Fay, L. C.The Johnson-Neyman technique, its theory and application . Psychometrika, 1950, 15, 349-367.
4.
Johnson, P. O. and Neyman, J.Tests of certain linear hypotheses and their application to some educational problems. Statistical Research Memoirs , 1936, 1, 57-93.
5.
Kerlinger, F. N. and Pedhazur, E. J.Multiple regression in behavioral research. New York: Holt, Rinehart, and Winston, 1973.
6.
Middlemiss, R. R., Marks, J. L., and Smart, J. R.Analytic geometry. New York: McGraw-Hill , 1968.
7.
Miller, R. G.Simultaneous statistical inference . New York: McGraw-Hill, 1966.
8.
Potthoff, R. F.On the Johnson-Neyman technique and some extensions thereof. Psychometrika, 1964, 29, 241-256.
9.
Rogosa, D. R.Some results for the Johnson-Neyman Technique. Unpublished doctoral dissertation, Stanford University, 1977.
10.
Walker, H. M. and Lev, J.Statistical inference. New York : Holt, Rinehart, and Winston , 1953 .
