The BGLIMM Procedure

ODS Tables Related to Posterior Statistics

PROC BGLIMM calculates some essential posterior statistics and outputs them to a number of ODS tables. Some of the ODS tables are produced by default, and you can request others by specifying an option in the PROC BGLIMM statement. For more information about the calculations, see the section Summary Statistics in ChapterĀ 8, Introduction to Bayesian Analysis Procedures.

Summary and Interval Statistics

The "Posterior Summaries and Intervals" table (ODS table name PostSumInt) contains basic summary and interval statistics for each parameter. The table lists the number of posterior samples, the posterior mean and standard deviation estimates, and the highest posterior density (HPD) interval estimates. This table is displayed by default.

Summary Statistics

The "Posterior Summaries" table (ODS table name PostSummaries) contains basic statistics for each parameter. The table lists the number of posterior samples, the posterior mean and standard deviation estimates, and the percentile estimates. This table is not displayed by default. You can request it by specifying the STATISTICS=SUM option in the PROC BGLIMM statement.

Correlation Matrix

The "Posterior Correlation Matrix" table (ODS table name Corr) contains the posterior correlation of model parameters. This table is not displayed by default. You can display it by specifying the STATISTICS=CORR option in the PROC BGLIMM statement.

Covariance Matrix

The "Posterior Covariance Matrix" table (ODS table name Cov) contains the posterior covariance of model parameters. This table is not displayed by default. You can display it by specifying the STATISTICS=COV option in the PROC BGLIMM statement.

Deviance Information Criterion

The "Deviance Information Criterion" table (ODS table name DIC) contains the deviance information criterion (DIC) of the model. This table is not displayed by default. You can display it by specifying the DIC option in the PROC BGLIMM statement. For more information about the calculations, see the section Deviance Information Criterion (DIC) in ChapterĀ 8, Introduction to Bayesian Analysis Procedures.

Interval Statistics

The "Posterior Intervals" table (ODS table name PostIntervals) contains the equal-tail and highest posterior density (HPD) interval estimates for each parameter. The default alpha value is 0.05, and you can change it to other levels by using the STATISTICS= option in the PROC BGLIMM statement. This table is not displayed by default. You can display it by specifying the STATISTICS=INT option.

Estimated G Matrix

The "Estimated G Matrix" table (ODS table name G) contains the estimated bold upper G matrix. This table is not displayed by default. You can display it by specifying the G option in a RANDOM statement.

Estimated G Correlation Matrix

The "Estimated G Correlation Matrix" table (ODS table name GCorr) contains the correlation matrix that corresponds to the estimated bold upper G matrix. This table is not displayed by default. You can display it by specifying the GCORR option in a RANDOM statement.

Estimated R Matrix

The "Estimated R Matrix" table (ODS table name R) contains the bold upper R matrix for the REPEATED statement. This table is not displayed by default. You can request it by specifying the R option in a REPEATED statement.

Estimated R Correlation Matrix

The "Estimated R Correlation Matrix" table (ODS table name RCorr) contains the correlation matrix that corresponds to the estimated bold upper R matrix. This table is not displayed by default. You can display it by specifying the RCORR option in the REPEATED statement.

Results from ESTIMATE Statements

The "Results from ESTIMATE statements" table (ODS table name Estimates) contains basic summary and interval statistics for each linear combination of the parameters. The table lists the posterior mean and standard deviation estimates, as well as the highest posterior density (HPD) interval estimates. This table is displayed by default when you specify an ESTIMATE statement.

Least Squares Means

The "Least Squares Means" table (ODS table name LSMeans) contains basic summary and interval statistics for least squares means. The table lists the posterior mean and standard deviation estimates, as well as the highest posterior density (HPD) interval estimates. This table is displayed by default when you specify an LSMEANS statement.

Differences of Least Squares Means

The "effect Diffs" table (ODS table name Diffs), where effect is the effect that you specify in the LSMEANS statement, contains basic summary and interval statistics for differences of LS-means. The table lists the posterior mean and standard deviation estimates, as well as the highest posterior density (HPD) interval estimates. The table is displayed when you specify the DIFF option in the LSMEANS statement.

Last updated: December 09, 2022