On concurrence of several linear regressions and applications to problems of enzyme kinetics
Titel:
On concurrence of several linear regressions and applications to problems of enzyme kinetics
Auteur:
Chen, Hubert J. Yuan, S. P.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 11 (1982) nr. 4 pagina's 395-409
Jaar:
1982
Inhoud:
In comparing several regressions E(yij) =αi + βixij i = 1, 2, ..., k, j = 1,2, ..., ni, researchers are generally interested in the following five problems: whether they have (1) equal slope, (2) equal intercept, (3) coincidence, (4) common intersection on X-axis, and (5) common intersection on (X,Y) - plane. Problems (1) - (3) can be put into the framework of the general linear hypothesis and the F-test can be used. However, problems (4) and (5) cannot be put into the general linear hypothesis because they are ratios of parameters. Hence, in this paper we consider the generalized likelihood ratio test for hypothesis testing. An application to an enzyme kinetics problem in Aniline Metabolism is demonstrated
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