The MIANALYZE Procedure |
This example creates data sets containing 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:
proc mixed data=outfish; class Species; model Length3= Species Height Width/ solution covb; by _Imputation_; ods output SolutionF=mxparms CovB=mxcovb; run;
The following statements display (in Output 55.8.1) the output mixed model coefficients from PROC MIXED for the first two imputed data sets:
proc print data=mxparms (obs=10); var _Imputation_ Effect Species Estimate StdErr; title 'MIXED Model Coefficients (First Two Imputations)'; run;
MIXED Model Coefficients (First Two Imputations) |
Obs | _Imputation_ | Effect | Species | Estimate | StdErr |
---|---|---|---|---|---|
1 | 1 | Intercept | 6.8207 | 1.0248 | |
2 | 1 | Species | Gp1 | -0.00467 | 0.8550 |
3 | 1 | Species | Gp2 | 0 | . |
4 | 1 | Height | 0.9085 | 0.1964 | |
5 | 1 | Width | 3.2744 | 0.5643 | |
6 | 2 | Intercept | 6.9259 | 0.9823 | |
7 | 2 | Species | Gp1 | -0.3542 | 0.8605 |
8 | 2 | Species | Gp2 | 0 | . |
9 | 2 | Height | 0.9630 | 0.1910 | |
10 | 2 | Width | 3.1548 | 0.5370 |
The following statements use the MIANALYZE procedure with an input PARMS= data set:
proc mianalyze parms(classvar=full)=mxparms; class Species; modeleffects Intercept Species Height Width; run;
The "Variance Information" table in Output 55.8.2 displays the between-imputation, within-imputation, and total variances for combining complete-data inferences.
Variance Information | ||||||||
---|---|---|---|---|---|---|---|---|
Parameter | Species | Variance | DF | Relative Increase in Variance |
Fraction Missing Information |
Relative Efficiency |
||
Between | Within | Total | ||||||
Intercept | 0.013439 | 1.008137 | 1.024263 | 16136 | 0.015996 | 0.015866 | 0.996837 | |
Species | Gp1 | 0.131130 | 0.719737 | 0.877093 | 124.28 | 0.218629 | 0.192300 | 0.962964 |
Species | Gp2 | 0 | . | . | . | . | . | . |
Height | 0.005162 | 0.037108 | 0.043302 | 195.48 | 0.166925 | 0.151682 | 0.970557 | |
Width | 0.025787 | 0.302173 | 0.333117 | 463.55 | 0.102406 | 0.096781 | 0.981011 |
The "Parameter Estimates" table in Output 55.8.3 displays the combined parameter estimates with associated standard errors.
Parameter Estimates | |||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Parameter | Species | Estimate | Std Error | 95% Confidence Limits | DF | Minimum | Maximum | Theta0 | t for H0: Parameter=Theta0 |
Pr > |t| | |
Intercept | 6.825324 | 1.012059 | 4.84158 | 8.809072 | 16136 | 6.692058 | 6.956116 | 0 | 6.74 | <.0001 | |
Species | Gp1 | -0.174302 | 0.936532 | -2.02792 | 1.679317 | 124.28 | -0.726082 | 0.129023 | 0 | -0.19 | 0.8527 |
Species | Gp2 | 0 | . | . | . | . | 0 | 0 | 0 | . | . |
Height | 0.927390 | 0.208091 | 0.51700 | 1.337782 | 195.48 | 0.860775 | 1.034011 | 0 | 4.46 | <.0001 | |
Width | 3.242346 | 0.577163 | 2.10817 | 4.376527 | 463.55 | 3.011865 | 3.400082 | 0 | 5.62 | <.0001 |
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