Some Consequences of a Singular (Co)Variance Matrix in the Linear Model

Volume and variance in the linear statistical model

Araújo, I.C.
de Oliveira, M.P.

December 2002

AbstractWe develop a simple expression for the variance of each individual element in the least squa...

Statistical Evaluation of Life History Variation Using an Inverse Matrix Model

Tisch, Nancy
Twombly, Saran
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

May 2000

42 pages, 1 article*Statistical Evaluation of Life History Variation Using an Inverse Matrix Model* ...

A Factorial Analysis of Variance Model and Its Application in Genetics

Robson, Douglas S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

March 1956

14 pages, 1 article*A Factorial Analysis of Variance Model and Its Application in Genetics* (Robson,...

Generalized Covariance Matrices for Variance Components Models

Searle, S. R.
Henderson, H. V.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

December 1977

41 pages, 1 article*Generalized Covariance Matrices for Variance Components Models* (Searle, S. R.; ...

Extending Some Results and Proofs for the Singular Linear Model

Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

November 1993

13 pages, 1 article*Extending Some Results and Proofs for the Singular Linear Model* (Searle, S. R.)...

Estimating Variance Components in Covariance Models

Mount, T. D.
Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1972

29 pages, 1 article*Estimating Variance Components in Covariance Models* (Mount, T. D.; Searle, S. R...

Estimability, Estimates, and Variances for Linear Models

Allen, David M.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

October 1974

9 pages, 1 article*Estimability, Estimates, and Variances for Linear Models* (Allen, David M.) 9 pag...

On a Matrix Identity Useful in Variance Component Estimation

Casella, George
Searle, Shayle R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

April 1985

6 pages, 1 article*On a Matrix Identity Useful in Variance Component Estimation* (Casella, George; S...

A Matrix Reformulation of Henderson's Methods of Estimating Variance Components

Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

July 1966

20 pages, 1 article*A Matrix Reformulation of Henderson's Methods of Estimating Variance Components*...

Expected Marginal Means in the Linear Model

Searle, S. R.
Milliken, G. A.
Speed, F. M.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

April 1979

9 pages, 1 article*Expected Marginal Means in the Linear Model* (Searle, S. R.; Milliken, G. A.; Spe...

A NOTE ON EFFECT OF OFF-DIAGONAL ENTRIES IN A VARIANCE-COVARIANCE MATRIX ON EIGEN ANALYSIS.

Bushra Shamshad.

April 2019

A positive definite symmetric variance covariance matrix with non-zero diagonal entries- plays an im...

Uncertainty of the design and covariance matrices in linear statistical model

Kubáček, Lubomír
Marek, Jaroslav

January 2009

summary:The aim of the paper is to determine an influence of uncertainties in design and covariance ...

On Means Estimated from Fixed and Mixed Linear Models

Searle, Shayle R.
Pukelsheim, Friedrich
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

February 1985

10 pages, 1 article*On Means Estimated from Fixed and Mixed Linear Models* (Searle, Shayle R.; Pukel...

Extending some results and proofs for the singular linear model

Searle, S.R.

October 1994

AbstractThis note gives some new forms and shortened proofs for results on the linear model with sin...

Variance-Covariance perturbation analysis of a Linear Model

Jin, Fengxiang
Merminod, Bertrand
Dupraz, Hubert
Gilliéron, Pierre-Yves

December 2004

In this paper the perturbation influence properties of the stochastic model (variance-covariance) in...

Volume and variance in the linear statistical model

Araújo, I.C.
de Oliveira, M.P.

December 2002

AbstractWe develop a simple expression for the variance of each individual element in the least squa...

Statistical Evaluation of Life History Variation Using an Inverse Matrix Model

Tisch, Nancy
Twombly, Saran
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

May 2000

42 pages, 1 article*Statistical Evaluation of Life History Variation Using an Inverse Matrix Model* ...

A Factorial Analysis of Variance Model and Its Application in Genetics

Robson, Douglas S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

March 1956

14 pages, 1 article*A Factorial Analysis of Variance Model and Its Application in Genetics* (Robson,...

Generalized Covariance Matrices for Variance Components Models

Searle, S. R.
Henderson, H. V.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

December 1977

41 pages, 1 article*Generalized Covariance Matrices for Variance Components Models* (Searle, S. R.; ...

Extending Some Results and Proofs for the Singular Linear Model

Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

November 1993

13 pages, 1 article*Extending Some Results and Proofs for the Singular Linear Model* (Searle, S. R.)...

Estimating Variance Components in Covariance Models

Mount, T. D.
Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

January 1972

29 pages, 1 article*Estimating Variance Components in Covariance Models* (Mount, T. D.; Searle, S. R...

Estimability, Estimates, and Variances for Linear Models

Allen, David M.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

October 1974

9 pages, 1 article*Estimability, Estimates, and Variances for Linear Models* (Allen, David M.) 9 pag...

On a Matrix Identity Useful in Variance Component Estimation

Casella, George
Searle, Shayle R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

April 1985

6 pages, 1 article*On a Matrix Identity Useful in Variance Component Estimation* (Casella, George; S...

A Matrix Reformulation of Henderson's Methods of Estimating Variance Components

Searle, S. R.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

July 1966

20 pages, 1 article*A Matrix Reformulation of Henderson's Methods of Estimating Variance Components*...

Expected Marginal Means in the Linear Model

Searle, S. R.
Milliken, G. A.
Speed, F. M.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

April 1979

9 pages, 1 article*Expected Marginal Means in the Linear Model* (Searle, S. R.; Milliken, G. A.; Spe...

A NOTE ON EFFECT OF OFF-DIAGONAL ENTRIES IN A VARIANCE-COVARIANCE MATRIX ON EIGEN ANALYSIS.

Bushra Shamshad.

April 2019

A positive definite symmetric variance covariance matrix with non-zero diagonal entries- plays an im...

Uncertainty of the design and covariance matrices in linear statistical model

Kubáček, Lubomír
Marek, Jaroslav

January 2009

summary:The aim of the paper is to determine an influence of uncertainties in design and covariance ...

On Means Estimated from Fixed and Mixed Linear Models

Searle, Shayle R.
Pukelsheim, Friedrich
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

February 1985

10 pages, 1 article*On Means Estimated from Fixed and Mixed Linear Models* (Searle, Shayle R.; Pukel...

Extending some results and proofs for the singular linear model

Searle, S.R.

October 1994

AbstractThis note gives some new forms and shortened proofs for results on the linear model with sin...

Variance-Covariance perturbation analysis of a Linear Model

Jin, Fengxiang
Merminod, Bertrand
Dupraz, Hubert
Gilliéron, Pierre-Yves

December 2004

In this paper the perturbation influence properties of the stochastic model (variance-covariance) in...

Volume and variance in the linear statistical model

Araújo, I.C.
de Oliveira, M.P.

December 2002

AbstractWe develop a simple expression for the variance of each individual element in the least squa...

Statistical Evaluation of Life History Variation Using an Inverse Matrix Model

Tisch, Nancy
Twombly, Saran
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

May 2000

42 pages, 1 article*Statistical Evaluation of Life History Variation Using an Inverse Matrix Model* ...

A Factorial Analysis of Variance Model and Its Application in Genetics

Robson, Douglas S.
Cornell University. Biometrics Unit.
Cornell University. Dept. of Biometrics.
Cornell University. Dept. of Biological Statistics and Computational Biology.

March 1956

14 pages, 1 article*A Factorial Analysis of Variance Model and Its Application in Genetics* (Robson,...

Some Consequences of a Singular (Co)Variance Matrix in the Linear Model

Abstract

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Some Consequences of a Singular (Co)Variance Matrix in the Linear Model

Abstract

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