WOMBAT – A program for Mixed Model Analyses by Restricted Maximum Likelihood

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wombat:famodel [2018/08/30]
kmeyer
wombat:famodel [2018/08/30] (current)
kmeyer
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 with ${\bf D}$ the the diagonal matrix of specific variances. with ${\bf D}$ the the diagonal matrix of specific variances.
  
-WOMBAT allows for the first part, i.e. has an option which allows ​<​latex> ​Var({\bf r}) </​latex> ​to be estimated as <​latex>​{ \bf F F}'</​latex> ​with reduced rank <​latex>​m</​latex>​. In addition, WOMBAT incorporates an option for diagonal covariance matrices. \\ Hence a factor-analytic model is readily fitted by simply fitting the corresponding random effect __twice__: ​+WOMBAT allows for the first part, i.e. has an option which allows ​$Var({\bf r})to be estimated as ${ \bf F F}'with reduced rank $m$. In addition, WOMBAT incorporates an option for diagonal covariance matrices. \\ Hence a factor-analytic model is readily fitted by simply fitting the corresponding random effect __twice__: ​
    * In the first instance with reduced rank covariance matrix, representing the **common** factors \\ (''​animal''​ in the example), and     * In the first instance with reduced rank covariance matrix, representing the **common** factors \\ (''​animal''​ in the example), and 
    * in the second instance with diagonal covariance matrix, representing the **specific** effects \\ (''​bnimal''​ in the example).    * in the second instance with diagonal covariance matrix, representing the **specific** effects \\ (''​bnimal''​ in the example).
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