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Modeling and Multivariate Methods - SAS

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444 Correlations <strong>and</strong> <strong>Multivariate</strong> Techniques Chapter 17<br />

Launch the <strong>Multivariate</strong> Platform<br />

Default<br />

REML<br />

ML<br />

Robust<br />

Row-wise<br />

Pairwise<br />

The Default option uses either the Row-wise, Pairwise, or REML methods:<br />

• Row-wise is used for data tables with no missing values.<br />

• Pairwise is used for data tables that have more than 10 columns or more than 5000 rows, <strong>and</strong> that have<br />

no missing values.<br />

• REML is used otherwise.<br />

REML (restricted maximum likelihood) estimates are less biased than the ML (maximum likelihood)<br />

estimation method. The REML method maximizes marginal likelihoods based upon error contrasts. The<br />

REML method is often used for estimating variances <strong>and</strong> covariances.The REML method in the<br />

<strong>Multivariate</strong> platform is the same as the REML estimation of mixed models for repeated measures data with<br />

an unstructured covariance matrix. See the documentation for <strong>SAS</strong> PROC MIXED about REML<br />

estimation of mixed models. REML uses all of your data, even if missing cells are present, <strong>and</strong> is most useful<br />

for smaller datasets. Because of the bias-correction factor, this method is slow if your dataset is large <strong>and</strong><br />

there are many missing data values. If there are no missing cells in the data, then the REML estimate is<br />

equivalent to the sample covariance matrix.<br />

The maximum likelihood estimation method (ML) is useful for large data tables with missing cells. The ML<br />

estimates are similar to the REML estimates, but the ML estimates are generated faster. Observations with<br />

missing values are not excluded. For small data tables, REML is preferred over ML because REML’s variance<br />

<strong>and</strong> covariance estimates are less biased.<br />

Robust estimation is useful for data tables that might have outliers. For statistical details, see “Robust” on<br />

page 454.<br />

Rowwise estimation does not use observations containing missing cells. This method is useful in the<br />

following situations:<br />

• checking compatibility with JMP versions earlier than JMP 8. Rowwise estimation was the only<br />

estimation method available before JMP 8.<br />

• excluding any observations that have missing data.<br />

Pairwise estimation performs correlations for all rows for each pair of columns with nonmissing values.

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