### 抄録

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.

元の言語 | 英語 |
---|---|

ページ（範囲） | 3173-3183 |

ページ数 | 11 |

ジャーナル | Communications in Statistics - Theory and Methods |

巻 | 13 |

発行部数 | 25 |

DOI | |

出版物ステータス | 出版済み - 1 1 1984 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistics and Probability

### これを引用

*Communications in Statistics - Theory and Methods*,

*13*(25), 3173-3183. https://doi.org/10.1080/03610928408828885

**A Test of Simultaneous Homogeneity Against Ordered Alternatives in Multifactorial Design.** / Sarath Kulatunga, D. D.; Sasabuchi, Syoichi.

研究成果: ジャーナルへの寄稿 › 記事

*Communications in Statistics - Theory and Methods*, 巻. 13, 番号 25, pp. 3173-3183. https://doi.org/10.1080/03610928408828885

}

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 -