### Abstract

A mixture of the MANOVA and GMANOVA models is presented. The expected value of the response matrix in this model is the sum of two matrix components. The first component represents the GMANOVA portion and the second component represents the MANOVA portion. Maximum likelihood estimators are derived for the parameters in this model, and goodness-of-fit tests are constructed for fuller models via the likelihood ratio criterion. Finally, likelihood ratio tests for general linear hypotheses are developed and a numerical example is presented.

Original language | English (US) |
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Pages (from-to) | 3075-3089 |

Number of pages | 15 |

Journal | Communications in Statistics - Theory and Methods |

Volume | 14 |

Issue number | 12 |

DOIs | |

State | Published - Jan 1 1985 |

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### All Science Journal Classification (ASJC) codes

- Statistics and Probability

### Cite this

*Communications in Statistics - Theory and Methods*,

*14*(12), 3075-3089. https://doi.org/10.1080/03610928508829096

}

*Communications in Statistics - Theory and Methods*, vol. 14, no. 12, pp. 3075-3089. https://doi.org/10.1080/03610928508829096

**A mixture of the MANOVA and GMANOVA models.** / Chinchilli, Vernon; Elswick, Ronald K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A mixture of the MANOVA and GMANOVA models

AU - Chinchilli, Vernon

AU - Elswick, Ronald K.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - A mixture of the MANOVA and GMANOVA models is presented. The expected value of the response matrix in this model is the sum of two matrix components. The first component represents the GMANOVA portion and the second component represents the MANOVA portion. Maximum likelihood estimators are derived for the parameters in this model, and goodness-of-fit tests are constructed for fuller models via the likelihood ratio criterion. Finally, likelihood ratio tests for general linear hypotheses are developed and a numerical example is presented.

AB - A mixture of the MANOVA and GMANOVA models is presented. The expected value of the response matrix in this model is the sum of two matrix components. The first component represents the GMANOVA portion and the second component represents the MANOVA portion. Maximum likelihood estimators are derived for the parameters in this model, and goodness-of-fit tests are constructed for fuller models via the likelihood ratio criterion. Finally, likelihood ratio tests for general linear hypotheses are developed and a numerical example is presented.

UR - http://www.scopus.com/inward/record.url?scp=0001143697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001143697&partnerID=8YFLogxK

U2 - 10.1080/03610928508829096

DO - 10.1080/03610928508829096

M3 - Article

AN - SCOPUS:0001143697

VL - 14

SP - 3075

EP - 3089

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

SN - 0361-0926

IS - 12

ER -