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Marginal Log-linear Regression Model for Leprosy Bacilli |
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Clinical Trial of Antibiotics for Leprosy |
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The GENMOD Procedure |
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Model Information |
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Data Set |
WORK.LEPROSY |
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Distribution |
Poisson |
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Link Function |
Log |
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Dependent Variable |
y |
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Observations Used |
60 |
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Class Level Information |
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Class |
Levels |
Values |
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id |
30 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 |
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Parameter Information |
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Parameter |
Effect |
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Prm1 |
Intercept |
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Prm2 |
time |
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Prm3 |
time*Antibiotic |
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Criteria For Assessing Goodness Of Fit |
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Criterion |
DF |
Value |
Value/DF |
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Deviance |
57 |
207.7285 |
3.6444 |
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Scaled Deviance |
57 |
207.7285 |
3.6444 |
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Pearson Chi-Square |
57 |
193.8648 |
3.4011 |
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Scaled Pearson X2 |
57 |
193.8648 |
3.4011 |
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Log Likelihood |
|
712.3139 |
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Algorithm converged. |
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Analysis Of Initial Parameter Estimates |
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Parameter |
DF |
Estimate |
Standard Error |
Wald 95% Confidence Limits |
Chi-Square |
Pr > ChiSq |
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Intercept |
1 |
2.3734 |
0.0557 |
2.2641 |
2.4826 |
1813.76 |
<.0001 |
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time |
1 |
0.1362 |
0.1060 |
-0.0715 |
0.3440 |
1.65 |
0.1987 |
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time*Antibiotic |
1 |
-0.7691 |
0.1300 |
-1.0239 |
-0.5143 |
35.00 |
<.0001 |
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Scale |
0 |
1.0000 |
0.0000 |
1.0000 |
1.0000 |
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GEE Model Information |
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Correlation Structure |
Unstructured |
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Subject Effect |
id (30 levels) |
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Number of Clusters |
30 |
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Correlation Matrix Dimension |
2 |
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Maximum Cluster Size |
2 |
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Minimum Cluster Size |
2 |
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Algorithm converged. |
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Working Correlation Matrix |
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Col1 |
Col2 |
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Row1 |
1.0000 |
0.7803 |
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Row2 |
0.7803 |
1.0000 |
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Analysis Of GEE Parameter Estimates |
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Empirical Standard Error Estimates |
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Parameter |
Estimate |
Standard Error |
95% Confidence Limits |
Z |
Pr > |Z| |
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Intercept |
2.3734 |
0.0801 |
2.2163 |
2.5304 |
29.62 |
<.0001 |
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time |
-0.0108 |
0.1572 |
-0.3189 |
0.2974 |
-0.07 |
0.9455 |
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time*Antibiotic |
-0.5141 |
0.1966 |
-0.8994 |
-0.1289 |
-2.62 |
0.0089 |
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Analysis Of GEE Parameter Estimates |
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Model-Based Standard Error Estimates |
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Parameter |
Estimate |
Standard Error |
95% Confidence Limits |
Z |
Pr > |Z| |
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Intercept |
2.3734 |
0.1028 |
2.1718 |
2.5749 |
23.08 |
<.0001 |
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time |
-0.0108 |
0.1142 |
-0.2345 |
0.2130 |
-0.09 |
0.9249 |
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time*Antibiotic |
-0.5141 |
0.1536 |
-0.8152 |
-0.2131 |
-3.35 |
0.0008 |
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Scale |
1.8454 |
. |
. |
. |
. |
. |
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Wald Statistics For Type 3 GEE Analysis |
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Source |
DF |
Chi-Square |
Pr > ChiSq |
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time |
1 |
0.00 |
0.9455 |
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time*Antibiotic |
1 |
6.84 |
0.0089 |