# The MIANALYZE Procedure

### Example 64.6 Reading GLM Results from PARMS= and XPXI= Data Sets

This example creates data sets that contains parameter estimates and corresponding matrices computed by a general linear 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 GLM to generate the parameter estimates and matrix for each imputed data set:

proc glm data=outmi;
model Oxygen= RunTime RunPulse/inverse;
by _Imputation_;
ods output ParameterEstimates=glmparms
InvXPX=glmxpxi;
quit;


The following statements display (in Output 64.6.1) the output parameter estimates and standard errors from PROC GLM for the first two imputed data sets:

proc print data=glmparms (obs=6);
var _Imputation_ Parameter Estimate StdErr;
title 'GLM Model Coefficients (First Two Imputations)';
run;


Output 64.6.1: PROC GLM Model Coefficients

 GLM Model Coefficients (First Two Imputations)

Obs _Imputation_ Parameter Estimate StdErr
1 1 Intercept 86.5440339 10.00726811
2 1 RunTime -2.8223108 0.32824165
3 1 RunPulse -0.0587292 0.05854109
4 2 Intercept 83.0207303 8.88996885
5 2 RunTime -3.0002288 0.33847204
6 2 RunPulse -0.0249103 0.05137859

The following statements display (in Output 64.6.2) matrices from PROC GLM for the first two imputed data sets:

proc print data=glmxpxi (obs=8);
var _Imputation_ Parameter Intercept RunTime RunPulse;
title 'GLM X''X Inverse Matrices (First Two Imputations)';
run;


Output 64.6.2: PROC GLM Matrices

 GLM X'X Inverse Matrices (First Two Imputations)

Obs _Imputation_ Parameter Intercept RunTime RunPulse
1 1 Intercept 12.696250656 -0.067849956 -0.069826009
2 1 RunTime -0.067849956 0.0136594055 -0.000436938
3 1 RunPulse -0.069826009 -0.000436938 0.0004344762
4 1 Oxygen 86.544033929 -2.822310769 -0.058729234
5 2 Intercept 10.784620785 -0.091107072 -0.057201387
6 2 RunTime -0.091107072 0.0156332765 -0.000426902
7 2 RunPulse -0.057201387 -0.000426902 0.0003602208
8 2 Oxygen 83.020730343 -3.000228818 -0.024910305

The standard errors for the estimates in the output Glmparms data set are needed to create the covariance matrix from the matrix. The following statements use the MIANALYZE procedure with input PARMS= and XPXI= data sets to produce the same results as displayed in Output 64.3.2 and Output 64.3.3 in Example 64.3:

proc mianalyze parms=glmparms xpxi=glmxpxi edf=28;
modeleffects Intercept RunTime RunPulse;
run;