Abstract
A test of simultaneous homogeneity of main effects of several factors against an alternative hypothesis with simple order restrictions in main effects of more than one factor in a multifactorial design is considered. This can be regarded as an extension of Shoracks (1967) work where the alternative hypothesis involves simple order restriction in main effects of one factor. We derive the likelihood ratio test statistic, E-2, and its null hypothesis distribution which involves the convolutions of probabilities P(l, k) used in the statistical inference under order restriction. The powers of the E-2 test and the usual F test are compared by simulation.
| Original language | English |
|---|---|
| Pages (from-to) | 3173-3183 |
| Number of pages | 11 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 13 |
| Issue number | 25 |
| DOIs | |
| Publication status | Published - Jan 1 1984 |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
Cite this
A Test of Simultaneous Homogeneity Against Ordered Alternatives in Multifactorial Design. / Sarath Kulatunga, D. D.; Sasabuchi, Syoichi.
In: Communications in Statistics - Theory and Methods, Vol. 13, No. 25, 01.01.1984, p. 3173-3183.Research output: Contribution to journal › Article
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TY - JOUR
T1 - A Test of Simultaneous Homogeneity Against Ordered Alternatives in Multifactorial Design
AU - Sarath Kulatunga, D. D.
AU - Sasabuchi, Syoichi
PY - 1984/1/1
Y1 - 1984/1/1
N2 - A test of simultaneous homogeneity of main effects of several factors against an alternative hypothesis with simple order restrictions in main effects of more than one factor in a multifactorial design is considered. This can be regarded as an extension of Shoracks (1967) work where the alternative hypothesis involves simple order restriction in main effects of one factor. We derive the likelihood ratio test statistic, E-2, and its null hypothesis distribution which involves the convolutions of probabilities P(l, k) used in the statistical inference under order restriction. The powers of the E-2 test and the usual F test are compared by simulation.
AB - A test of simultaneous homogeneity of main effects of several factors against an alternative hypothesis with simple order restrictions in main effects of more than one factor in a multifactorial design is considered. This can be regarded as an extension of Shoracks (1967) work where the alternative hypothesis involves simple order restriction in main effects of one factor. We derive the likelihood ratio test statistic, E-2, and its null hypothesis distribution which involves the convolutions of probabilities P(l, k) used in the statistical inference under order restriction. The powers of the E-2 test and the usual F test are compared by simulation.
UR - http://www.scopus.com/inward/record.url?scp=84936145190&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84936145190&partnerID=8YFLogxK
U2 - 10.1080/03610928408828885
DO - 10.1080/03610928408828885
M3 - Article
AN - SCOPUS:84936145190
VL - 13
SP - 3173
EP - 3183
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
SN - 0361-0926
IS - 25
ER -