Table of Treatment_Group by response	
Treatment_Group	response	
Frequency
Percent
Row Pct
Col Pct	0	1	Total	
Augmentation	9
18.00
34.62
39.13	17
34.00
65.38
62.96	26
52.00

Control	14
28.00
58.33
60.87	10
20.00
41.67
37.04	24
48.00

Total	23
46.00	27
54.00	50
100.00	

Statistics for Table of Treatment_Group by response	

Statistic	DF	Value	Prob	
Chi-Square	1	2.8263	0.0927	
Likelihood Ratio Chi-Square	1	2.8514	0.0913	
Continuity Adj. Chi-Square	1	1.9521	0.1624	
Mantel-Haenszel Chi-Square	1	2.7698	0.0961	
Phi Coefficient		-0.2378		
Contingency Coefficient		0.2313		
Cramer's V		-0.2378		

Fisher's Exact Test	
Cell (1,1) Frequency (F)	9	
Left-sided Pr <= F	0.0809	
Right-sided Pr >= F	0.9758	
		
Table Probability (P)	0.0567	
Two-sided Pr <= P	0.1551	

Sample Size = 50	

Model Information	
Data Set	WORK.AUGMENT	
Response Variable	response	
Number of Response Levels	2	
Model	binary logit	
Optimization Technique	Fisher's scoring	

Number of Observations Read	50	
Number of Observations Used	50	

Response Profile	
Ordered
Value	response	Total
Frequency	
1	1	27	
2	0	23	

Probability modeled is response=1.	

Class Level Information	
Class	Value	Design Variables	
Treatment_Group	Augmentation	1	0	
	Control	0	1	

Model Convergence Status	
Convergence criterion (GCONV=1E-8) satisfied.	

Model Fit Statistics	
Criterion	Intercept Only	Intercept and Covariates	
AIC	70.994	70.143	
SC	72.906	73.967	
-2 Log L	68.994	66.143	

Testing Global Null Hypothesis: BETA=0	
Test	Chi-Square	DF	Pr > ChiSq	
Likelihood Ratio	2.8514	1	0.0913	
Score	2.8263	1	0.0927	
Wald	2.7701	1	0.0960	

Type 3 Analysis of Effects	
Effect	DF	Wald
Chi-Square	Pr > ChiSq	
Treatment_Group	1	2.7701	0.0960	

Analysis of Maximum Likelihood Estimates	
Parameter		DF	Estimate	Standard
Error	Wald
Chi-Square	Pr > ChiSq	
Intercept		1	-0.3365	0.4140	0.6604	0.4164	
Treatment_Group	Augmentation	1	0.9724	0.5843	2.7701	0.0960	
Treatment_Group	Control	0	0	.	.	.	

Odds Ratio Estimates	
Effect	Point Estimate	95% Wald
Confidence Limits	
Treatment_Group Augmentation vs Control	2.644	0.841	8.311	

Association of Predicted Probabilities and Observed Responses	
Percent Concordant	38.3	Somers' D	0.238	
Percent Discordant	14.5	Gamma	0.451	
Percent Tied	47.2	Tau-a	0.121	
Pairs	621	c	0.619	

Odds Ratio Estimates and Wald Confidence Intervals	
Odds Ratio	Estimate	95% Confidence Limits	
Treatment_Group Augmentation vs Control	2.644	0.841	8.311	

Model Information	
Data Set	WORK.AUGMENT	
Response Variable	response	
Number of Response Levels	2	
Model	binary logit	
Optimization Technique	Fisher's scoring	

Number of Observations Read	50	
Number of Observations Used	50	

Response Profile	
Ordered
Value	response	Total
Frequency	
1	1	27	
2	0	23	

Probability modeled is response=1.	

Class Level Information	
Class	Value	Design Variables	
Treatment_Group	Control	1	0	
	Augmentation	0	1	

Model Convergence Status	
Convergence criterion (GCONV=1E-8) satisfied.	

Model Fit Statistics	
Criterion	Intercept Only	Intercept and Covariates	
AIC	70.994	70.143	
SC	72.906	73.967	
-2 Log L	68.994	66.143	

Testing Global Null Hypothesis: BETA=0	
Test	Chi-Square	DF	Pr > ChiSq	
Likelihood Ratio	2.8514	1	0.0913	
Score	2.8263	1	0.0927	
Wald	2.7701	1	0.0960	

Type 3 Analysis of Effects	
Effect	DF	Wald
Chi-Square	Pr > ChiSq	
Treatment_Group	1	2.7701	0.0960	

Analysis of Maximum Likelihood Estimates	
Parameter		DF	Estimate	Standard
Error	Wald
Chi-Square	Pr > ChiSq	
Intercept		1	0.6359	0.4122	2.3799	0.1229	
Treatment_Group	Control	1	-0.9724	0.5843	2.7701	0.0960	
Treatment_Group	Augmentation	0	0	.	.	.	

Odds Ratio Estimates	
Effect	Point Estimate	95% Wald
Confidence Limits	
Treatment_Group Control vs Augmentation	0.378	0.120	1.189	

Association of Predicted Probabilities and Observed Responses	
Percent Concordant	38.3	Somers' D	0.238	
Percent Discordant	14.5	Gamma	0.451	
Percent Tied	47.2	Tau-a	0.121	
Pairs	621	c	0.619	

Odds Ratio Estimates and Wald Confidence Intervals	
Odds Ratio	Estimate	95% Confidence Limits	
Treatment_Group Control vs Augmentation	0.378	0.120	1.189	

Model Information	
Data Set	WORK.AUGMENT	
Distribution	Multinomial	
Link Function	Cumulative Logit	
Dependent Variable	Sev_t6	

Number of Observations Read	50	
Number of Observations Used	38	
Missing Values	12	

Class Level Information	
Class	Levels	Values	
Treatment_Group	2	Augmentation Control	

Response Profile	
Ordered
Value	Sev_t6	Total
Frequency	
1	1	10	
2	2	16	
3	3	5	
4	4	7	

PROC GENMOD is modeling the probabilities of levels of Sev_t6 having LOWER Ordered Values in the response profile table. One way to change this to model the probabilities of HIGHER Ordered Values is to specify the DESCENDING option in the PROC statement.	

Parameter Information	
Parameter	Effect	Treatment_Group	
Prm1	Treatment_Group	Augmentation	
Prm2	Treatment_Group	Control	

Criteria For Assessing Goodness Of Fit	
Criterion	DF	Value	Value/DF	
Log Likelihood		-48.0354		
Full Log Likelihood		-48.0354		
AIC (smaller is better)		104.0708		
AICC (smaller is better)		105.2829		
BIC (smaller is better)		110.6211		

Algorithm converged.	

Analysis Of Maximum Likelihood Parameter Estimates	
Parameter		DF	Estimate	Standard Error	Wald 95% Confidence Limits	Wald Chi-Square	Pr > ChiSq	
Intercept1		1	-1.5602	0.5281	-2.5952	-0.5252	8.73	0.0031	
Intercept2		1	0.3615	0.4413	-0.5033	1.2264	0.67	0.4126	
Intercept3		1	1.1166	0.4818	0.1723	2.0609	5.37	0.0205	
Treatment_Group	Augmentation	1	0.9192	0.6187	-0.2934	2.1319	2.21	0.1373	
Treatment_Group	Control	0	0.0000	0.0000	0.0000	0.0000	.	.	
Scale		0	1.0000	0.0000	1.0000	1.0000			

Note:	The scale parameter was held fixed.	

Treatment_Group Least Squares Means	
Sev_t6	Treatment_Group	Estimate	Standard Error	z Value	Pr > |z|	Alpha	Lower	Upper	Mean	Standard Error of Mean	
1	Augmentation	-0.6409	0.4480	-1.43	0.1525	0.05	-1.5189	0.2371	0.3450	0.1012	
1	Control	-1.5602	0.5281	-2.95	0.0031	0.05	-2.5952	-0.5252	0.1736	0.07576	
2	Augmentation	1.2808	0.5035	2.54	0.0110	0.05	0.2940	2.2676	0.7826	0.08566	
2	Control	0.3615	0.4413	0.82	0.4126	0.05	-0.5033	1.2264	0.5894	0.1068	
3	Augmentation	2.0358	0.5746	3.54	0.0004	0.05	0.9096	3.1621	0.8845	0.05870	
3	Control	1.1166	0.4818	2.32	0.0205	0.05	0.1723	2.0609	0.7534	0.08952	

Treatment_Group Least Squares Means	
Sev_t6	Treatment_Group	Lower Mean	Upper Mean	Exponentiated	Exponentiated Lower	Exponentiated Upper	
1	Augmentation	0.1796	0.5590	0.5268	0.2189	1.2676	
1	Control	0.06945	0.3716	0.2101	0.07463	0.5914	
2	Augmentation	0.5730	0.9062	3.5995	1.3418	9.6558	
2	Control	0.3768	0.7732	1.4355	0.6045	3.4089	
3	Augmentation	0.7129	0.9594	7.6587	2.4834	23.6193	
3	Control	0.5430	0.8870	3.0544	1.1881	7.8528	

Differences of Treatment_Group Least Squares Means	
Treatment_Group	_Treatment_Group	Estimate	Standard Error	z Value	Pr > |z|	Alpha	Lower	Upper	Exponentiated	
Augmentation	Control	0.9192	0.6187	1.49	0.1373	0.05	-0.2934	2.1319	2.5074	

Differences of Treatment_Group Least Squares Means	
Treatment_Group	_Treatment_Group	Exponentiated Lower	Exponentiated Upper	
Augmentation	Control	0.7458	8.4305	

Table of Treatment_Group by Sev_t6	
Treatment_Group	Sev_t6	
Frequency
Percent
Row Pct
Col Pct	1	2	3	4	Total	
Augmentation	6
15.79
31.58
60.00	10
26.32
52.63
62.50	0
0.00
0.00
0.00	3
7.89
15.79
42.86	19
50.00

Control	4
10.53
21.05
40.00	6
15.79
31.58
37.50	5
13.16
26.32
100.00	4
10.53
21.05
57.14	19
50.00

Total	10
26.32	16
42.11	5
13.16	7
18.42	38
100.00	
Frequency Missing = 12