topic Re: V matrix and Z matrix in mixed model in Statistical Procedures https://communities.sas.com/t5/Statistical-Procedures/V-matrix-and-Z-matrix-in-mixed-model/m-p/731222#M35461 See Chapter 1 of Littel et al, "SAS for Mixed Models" (or pretty much any other mixed model book). Also see the Appendix 1: "Linear Mixed Model Theory"<BR /><BR />In the model <BR />Y = X*beta + Z*u + epsilon<BR />Z is the design matrix for the random effects. G is the covariance matrix for the random effects: u ~ MVN(0,G). R is the covariance matrix for the error distribution, which is assumed to be epsilon ~ MVN(0,R). The marginal distribution of Y is Y ~ MVN(X*beta, V), where V = Z`*G*Z + R = Var[Y]. Sun, 04 Apr 2021 11:30:48 GMT Rick_SAS 2021-04-04T11:30:48Z V matrix and Z matrix in mixed model https://communities.sas.com/t5/Statistical-Procedures/V-matrix-and-Z-matrix-in-mixed-model/m-p/731173#M35456 <P>Hello all,</P><P>I am looking for a source, an article or a book with examples that give me interpretation of&nbsp;<STRONG>V</STRONG> matrix and <STRONG>Z</STRONG> matrix in&nbsp;<STRONG>V=ZGZ'+R&nbsp;</STRONG>in mixed model with repeated measure, fixed and random effects. Any help will be appreciated.&nbsp;</P> Sat, 03 Apr 2021 21:08:15 GMT https://communities.sas.com/t5/Statistical-Procedures/V-matrix-and-Z-matrix-in-mixed-model/m-p/731173#M35456 fatemeh 2021-04-03T21:08:15Z Re: V matrix and Z matrix in mixed model https://communities.sas.com/t5/Statistical-Procedures/V-matrix-and-Z-matrix-in-mixed-model/m-p/731222#M35461 See Chapter 1 of Littel et al, "SAS for Mixed Models" (or pretty much any other mixed model book). Also see the Appendix 1: "Linear Mixed Model Theory"<BR /><BR />In the model <BR />Y = X*beta + Z*u + epsilon<BR />Z is the design matrix for the random effects. G is the covariance matrix for the random effects: u ~ MVN(0,G). R is the covariance matrix for the error distribution, which is assumed to be epsilon ~ MVN(0,R). The marginal distribution of Y is Y ~ MVN(X*beta, V), where V = Z`*G*Z + R = Var[Y]. Sun, 04 Apr 2021 11:30:48 GMT https://communities.sas.com/t5/Statistical-Procedures/V-matrix-and-Z-matrix-in-mixed-model/m-p/731222#M35461 Rick_SAS 2021-04-04T11:30:48Z