The Relationship Between Two Parameterizations Of Linear Patterned Mean And Covariance Models

TY - JOUR

T1 - The Relationship Between Two Parameterizations Of Linear Patterned Mean And Covariance Models

AU - Szatrowski, Ted H.

N1 - Funding Information: This research was supported by National Science Foundation Grant

PY - 1985/1/1

Y1 - 1985/1/1

N2 - Andrade and Helms (1984) study problems involving estimation and testing of linearly patterned mean and covariance matrices. They parameterize their models under the null hypothesis by using linear constraints on the alternative hypothesis parameterization. In this paper, we show that the nested models that Andrade and Helms consider can be transformed into the nested models considered by Anderson (1969, 1970, 1973) and Szatrowski (1979, 1980, 1981, 1983, 1985).

AB - Andrade and Helms (1984) study problems involving estimation and testing of linearly patterned mean and covariance matrices. They parameterize their models under the null hypothesis by using linear constraints on the alternative hypothesis parameterization. In this paper, we show that the nested models that Andrade and Helms consider can be transformed into the nested models considered by Anderson (1969, 1970, 1973) and Szatrowski (1979, 1980, 1981, 1983, 1985).

KW - canonical forms

KW - linear transformations

KW - means

KW - patterned

KW - patterned covariance matrices

UR - http://www.scopus.com/inward/record.url?scp=84948236304&partnerID=8YFLogxK

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U2 - https://doi.org/10.1080/03610928508829006

DO - https://doi.org/10.1080/03610928508829006

M3 - Article

VL - 14

SP - 1709

EP - 1712

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

SN - 0361-0926

IS - 7

ER -