The MIANALYZE Procedure
Example 77.8 Reading Mixed Model Results with Classification Covariates
(View the complete code for this example.)
This example creates data sets that contains parameter estimates and corresponding covariance matrices with classification variables computed by a mixed regression model analysis for a set of imputed data sets. These estimates are then combined to generate valid statistical inferences about the model parameters.
The following statements use PROC MIXED to generate the parameter estimates and covariance matrix for each imputed data set:
ods select none; proc mixed data=outfish2; class Species; model Length= Species Width/ solution; by _Imputation_; ods output SolutionF=mxparms; run; ods select all;
Because of the ODS SELECT statements, no output is displayed. The following statements display (in Output 77.8.1) the output mixed model coefficients from PROC MIXED for the first two imputed data sets:
proc print data=mxparms (obs=8); var _Imputation_ Effect Species Estimate StdErr; title 'MIXED Model Coefficients (First Two Imputations)'; run;
Output 77.8.1: PROC MIXED Model Coefficients
The following statements use the MIANALYZE procedure with an input PARMS= data set:
proc mianalyze parms(classvar=full)=mxparms; class Species; modeleffects Intercept Species Width; run;
The "Variance Information" table in Output 77.8.2 displays the between-imputation, within-imputation, and total variances for combining complete-data inferences.
Output 77.8.2: Variance Information
| Variance Information (25 Imputations) | ||||||||
|---|---|---|---|---|---|---|---|---|
| Parameter | Species | Variance | DF | Relative Increase in Variance | Fraction Missing Information | Relative Efficiency | ||
| Between | Within | Total | ||||||
| Intercept | 0.065665 | 0.668667 | 0.736959 | 2794.9 | 0.102131 | 0.093316 | 0.996281 | |
| Species | Parkki | 0.077291 | 0.525640 | 0.606023 | 1364.1 | 0.152924 | 0.133909 | 0.994672 |
| Species | Perch | 0 | . | . | . | . | . | . |
| Width | 0.002276 | 0.025876 | 0.028243 | 3416 | 0.091488 | 0.084356 | 0.996637 | |
The "Parameter Estimates" table in Output 77.8.3 displays the combined parameter estimates with associated standard errors.
Output 77.8.3: Parameter Estimates
| Parameter Estimates (25 Imputations) | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Parameter | Species | Estimate | Std Error | 95% Confidence Limits | DF | Minimum | Maximum | Theta0 | t for H0: Parameter=Theta0 | Pr > |t| | |
| Intercept | 4.519259 | 0.858463 | 2.83597 | 6.202545 | 2794.9 | 4.013624 | 5.162463 | 0 | 5.26 | <.0001 | |
| Species | Parkki | 1.277902 | 0.778475 | -0.24924 | 2.805039 | 1364.1 | 0.647898 | 1.710559 | 0 | 1.64 | 0.1009 |
| Species | Perch | 0 | . | . | . | . | 0 | 0 | 0 | . | . |
| Width | 5.284285 | 0.168056 | 4.95478 | 5.613786 | 3416 | 5.206516 | 5.369231 | 0 | 31.44 | <.0001 | |
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