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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*A |
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Prm4 |
time*B |
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Criteria For Assessing Goodness Of Fit |
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Criterion |
DF |
Value |
Value/DF |
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Deviance |
56 |
207.1667 |
3.6994 |
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Scaled Deviance |
56 |
207.1667 |
3.6994 |
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Pearson Chi-Square |
56 |
191.9517 |
3.4277 |
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Scaled Pearson X2 |
56 |
191.9517 |
3.4277 |
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Log Likelihood |
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712.5948 |
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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*A |
1 |
-0.8419 |
0.1643 |
-1.1639 |
-0.5198 |
26.25 |
<.0001 |
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time*B |
1 |
-0.7013 |
0.1566 |
-1.0082 |
-0.3944 |
20.06 |
<.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 |
0.7966 |
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Row2 |
0.7966 |
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 |
-0.0138 |
0.1573 |
-0.3222 |
0.2946 |
-0.09 |
0.9300 |
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time*A |
-0.5406 |
0.2186 |
-0.9690 |
-0.1122 |
-2.47 |
0.0134 |
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time*B |
-0.4791 |
0.2279 |
-0.9257 |
-0.0325 |
-2.10 |
0.0355 |
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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 |
0.1035 |
2.1704 |
2.5763 |
22.92 |
<.0001 |
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time |
-0.0138 |
0.1111 |
-0.2315 |
0.2039 |
-0.12 |
0.9010 |
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time*A |
-0.5406 |
0.1818 |
-0.8969 |
-0.1843 |
-2.97 |
0.0029 |
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time*B |
-0.4791 |
0.1779 |
-0.8278 |
-0.1303 |
-2.69 |
0.0071 |
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Scale |
1.8578 |
. |
. |
. |
. |
. |
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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 |
0.01 |
0.9300 |
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time*A |
1 |
6.12 |
0.0134 |
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time*B |
1 |
4.42 |
0.0355 |
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Contrast Results for GEE Analysis |
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Contrast |
DF |
Chi-Square |
Pr > ChiSq |
Type |
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Drug x Time Interaction |
2 |
6.99 |
0.0303 |
Wald |