Ratio F test for testing simultaneous hypotheses in models with blocked compound symmetric covariance structure

This article deals with testing simultaneous hypotheses about the mean structure and the covariance structure in models with blocked compound symmetric (BCS) covariance structure. Considered models are used for double multivariate data, which means that m -variate vector of observation is measured r...

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Vydáno v:	Statistical papers (Berlin, Germany) Ročník 62; číslo 5; s. 2109 - 2118
Hlavní autoři:	Zmyślony, Roman, Kozioł, Arkadiusz
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2021 Springer Nature B.V
Témata:	Covariance matrix Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Hypotheses Insurance Management Mathematical analysis Mathematics and Statistics Mean Multivariate analysis Normality Operations Research/Decision Theory Probability Theory and Stochastic Processes Research Article Statistical tests Statistics Statistics for Business Structure of mean vector Structure of covariance matrices Positive and negative part of estimator Best unbiased estimator Block compound symmetric covariance structure Double multivariate data Testing hypotheses
ISSN:	0932-5026, 1613-9798
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Abstract	This article deals with testing simultaneous hypotheses about the mean structure and the covariance structure in models with blocked compound symmetric (BCS) covariance structure. Considered models are used for double multivariate data, which means that m -variate vector of observation is measured repeatedly over u levels of some factor on each of n individual. Additionally, the assumption of multivariate normality for this type of data is made. We use framework of ratio of positive and negative parts of best unbiased estimators to obtain simultaneous F test. The test statistic is constructed as a ratio of test statistics for testing single hypotheses about the mean vector and the covariance matrix. In simulation study power of obtained test is compared with powers of three other F tests—two for testing single hypotheses and one for testing simultaneous hypotheses, whose test statistic is convex combination of test statistics of these two single F tests. The problem of simultaneous testing of the mean vector and covariance matrix was also consider in paper (Hyodo and Nishiyama, Commun Stat Theory Methods, https://doi.org/10.1080/03610926.2019.1639751 , 2019).
AbstractList	This article deals with testing simultaneous hypotheses about the mean structure and the covariance structure in models with blocked compound symmetric (BCS) covariance structure. Considered models are used for double multivariate data, which means that m -variate vector of observation is measured repeatedly over u levels of some factor on each of n individual. Additionally, the assumption of multivariate normality for this type of data is made. We use framework of ratio of positive and negative parts of best unbiased estimators to obtain simultaneous F test. The test statistic is constructed as a ratio of test statistics for testing single hypotheses about the mean vector and the covariance matrix. In simulation study power of obtained test is compared with powers of three other F tests—two for testing single hypotheses and one for testing simultaneous hypotheses, whose test statistic is convex combination of test statistics of these two single F tests. The problem of simultaneous testing of the mean vector and covariance matrix was also consider in paper (Hyodo and Nishiyama, Commun Stat Theory Methods, 10.1080/03610926.2019.1639751 , 2019). This article deals with testing simultaneous hypotheses about the mean structure and the covariance structure in models with blocked compound symmetric (BCS) covariance structure. Considered models are used for double multivariate data, which means that m -variate vector of observation is measured repeatedly over u levels of some factor on each of n individual. Additionally, the assumption of multivariate normality for this type of data is made. We use framework of ratio of positive and negative parts of best unbiased estimators to obtain simultaneous F test. The test statistic is constructed as a ratio of test statistics for testing single hypotheses about the mean vector and the covariance matrix. In simulation study power of obtained test is compared with powers of three other F tests—two for testing single hypotheses and one for testing simultaneous hypotheses, whose test statistic is convex combination of test statistics of these two single F tests. The problem of simultaneous testing of the mean vector and covariance matrix was also consider in paper (Hyodo and Nishiyama, Commun Stat Theory Methods, https://doi.org/10.1080/03610926.2019.1639751 , 2019). This article deals with testing simultaneous hypotheses about the mean structure and the covariance structure in models with blocked compound symmetric (BCS) covariance structure. Considered models are used for double multivariate data, which means that m-variate vector of observation is measured repeatedly over u levels of some factor on each of n individual. Additionally, the assumption of multivariate normality for this type of data is made. We use framework of ratio of positive and negative parts of best unbiased estimators to obtain simultaneous F test. The test statistic is constructed as a ratio of test statistics for testing single hypotheses about the mean vector and the covariance matrix. In simulation study power of obtained test is compared with powers of three other F tests—two for testing single hypotheses and one for testing simultaneous hypotheses, whose test statistic is convex combination of test statistics of these two single F tests. The problem of simultaneous testing of the mean vector and covariance matrix was also consider in paper (Hyodo and Nishiyama, Commun Stat Theory Methods, https://doi.org/10.1080/03610926.2019.1639751, 2019).
Author	Kozioł, Arkadiusz Zmyślony, Roman
Author_xml	– sequence: 1 givenname: Roman orcidid: 0000-0001-8029-0578 surname: Zmyślony fullname: Zmyślony, Roman email: rzmyslony@op.pl, r.zmyslony@wmie.uz.zgora.pl organization: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra – sequence: 2 givenname: Arkadiusz orcidid: 0000-0002-5347-4109 surname: Kozioł fullname: Kozioł, Arkadiusz organization: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
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Cites_doi	10.13001/1081-3810.3743 10.13001/1081-3810.3748 10.1080/03610926.2019.1639751 10.1080/02331889708802533 10.1016/j.jmva.2015.11.001 10.1080/03610918.2019.1634205 10.1080/03610921003672212 10.1016/j.laa.2018.02.019
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References	Kozioł, Roy, Zmyślony, Leiva, Fonseca (CR4) 2018; 547C Roy, Leiva (CR7) 2011; 40 Roy, Zmyślony, Fonseca, Leiva (CR8) 2016; 144 Hyodo, Nishiyama (CR2) 2019 Johnson, Wichern (CR3) 2007 Michalski, Zmyślony (CR5) 1996; 27 Seely (CR9) 1977; 39 Zmyślony (CR10) 1980; 6 Zmyślony, Kozioł (CR11) 2019 Michalski, Zmyślony (CR6) 1999; 17 Zmyślony, Žežula, Kozioł (CR12) 2018; 33 Fonseca, Zmyślony, Kozioł (CR1) 2018; 33 JF Seely (1182_CR9) 1977; 39 A Roy (1182_CR8) 2016; 144 R Zmyślony (1182_CR11) 2019 A Michalski (1182_CR5) 1996; 27 R Zmyślony (1182_CR12) 2018; 33 M Hyodo (1182_CR2) 2019 A Kozioł (1182_CR4) 2018; 547C A Michalski (1182_CR6) 1999; 17 R Zmyślony (1182_CR10) 1980; 6 RA Johnson (1182_CR3) 2007 M Fonseca (1182_CR1) 2018; 33 A Roy (1182_CR7) 2011; 40
References_xml	– volume: 33 start-page: 53 year: 2018 end-page: 62 ident: CR1 article-title: Testing hypotheses of covariance structure in multivariate data publication-title: Electron. J. Linear Algebra doi: 10.13001/1081-3810.3743 – volume: 6 start-page: 355 year: 1980 end-page: 357 ident: CR10 article-title: Completeness for a family of normal distributions publication-title: Math Stat – volume: 33 start-page: 41 year: 2018 end-page: 52 ident: CR12 article-title: Application of Jordan algebra for testing hypotheses about structure of mean vector in model with block compound symmetric covariance structure publication-title: Electron J Linear Algebra doi: 10.13001/1081-3810.3748 – year: 2019 ident: CR2 article-title: Simultaneous testing of the mean vector and covariance matrix among k populations for high-dimensional data publication-title: Commun Stat Theory Methods doi: 10.1080/03610926.2019.1639751 – volume: 17 start-page: 103 year: 1999 end-page: 110 ident: CR6 article-title: Testing hypotheses for linear functions of parameters in mixed linear models publication-title: Tatra Mt Mat Publ – volume: 27 start-page: 297 year: 1996 end-page: 310 ident: CR5 article-title: Testing hypotheses for variance components in mixed linear models publication-title: Statistics doi: 10.1080/02331889708802533 – volume: 144 start-page: 81 year: 2016 end-page: 90 ident: CR8 article-title: Optimal estimation for doubly multivariate data in blocked compound symmetric covariance structure publication-title: J Multivar Anal doi: 10.1016/j.jmva.2015.11.001 – volume: 39 start-page: 170 year: 1977 end-page: 185 ident: CR9 article-title: Minimal sufficient statistics and completeness for multivariate normal families. Sankhya (Statistics) publication-title: Indian J Stat Ser A – year: 2019 ident: CR11 article-title: Simultaneous hypotheses testing in models with blocked compound symmetric covariance structure publication-title: Commun Stat Simul Comput doi: 10.1080/03610918.2019.1634205 – year: 2007 ident: CR3 publication-title: Applied multivariate statistical analysis – volume: 40 start-page: 1945 year: 2011 end-page: 1963 ident: CR7 article-title: Estimating and testing a structured covariance matrix for three-level multivariate data publication-title: Commun Stat Theory Methods doi: 10.1080/03610921003672212 – volume: 547C start-page: 217 year: 2018 end-page: 239 ident: CR4 article-title: Free-coordinate estimation for doubly multivariate data publication-title: Linear Algebra Appl doi: 10.1016/j.laa.2018.02.019 – year: 2019 ident: 1182_CR2 publication-title: Commun Stat Theory Methods doi: 10.1080/03610926.2019.1639751 – volume: 39 start-page: 170 year: 1977 ident: 1182_CR9 publication-title: Indian J Stat Ser A – volume: 33 start-page: 41 year: 2018 ident: 1182_CR12 publication-title: Electron J Linear Algebra doi: 10.13001/1081-3810.3748 – volume-title: Applied multivariate statistical analysis year: 2007 ident: 1182_CR3 – volume: 144 start-page: 81 year: 2016 ident: 1182_CR8 publication-title: J Multivar Anal doi: 10.1016/j.jmva.2015.11.001 – volume: 17 start-page: 103 year: 1999 ident: 1182_CR6 publication-title: Tatra Mt Mat Publ – volume: 33 start-page: 53 year: 2018 ident: 1182_CR1 publication-title: Electron. J. Linear Algebra doi: 10.13001/1081-3810.3743 – volume: 40 start-page: 1945 year: 2011 ident: 1182_CR7 publication-title: Commun Stat Theory Methods doi: 10.1080/03610921003672212 – year: 2019 ident: 1182_CR11 publication-title: Commun Stat Simul Comput doi: 10.1080/03610918.2019.1634205 – volume: 547C start-page: 217 year: 2018 ident: 1182_CR4 publication-title: Linear Algebra Appl doi: 10.1016/j.laa.2018.02.019 – volume: 27 start-page: 297 year: 1996 ident: 1182_CR5 publication-title: Statistics doi: 10.1080/02331889708802533 – volume: 6 start-page: 355 year: 1980 ident: 1182_CR10 publication-title: Math Stat
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SubjectTerms	Covariance matrix Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Hypotheses Insurance Management Mathematical analysis Mathematics and Statistics Mean Multivariate analysis Normality Operations Research/Decision Theory Probability Theory and Stochastic Processes Research Article Statistical tests Statistics Statistics for Business
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Title	Ratio F test for testing simultaneous hypotheses in models with blocked compound symmetric covariance structure
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