Results: Program 2.sas

The FREQ Procedure

The Freq Procedure

Table 1 of grp * rsp

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Col Pct
Table 1 of grp by rsp
Controlling for f1=a f2=x
grp rsp
0 1 Total
1
5
41.67
62.50
62.50
3
25.00
37.50
75.00
8
66.67
 
 
2
3
25.00
75.00
37.50
1
8.33
25.00
25.00
4
33.33
 
 
Total
8
66.67
4
33.33
12
100.00

Statistics for Table 1 of grp by rsp
Controlling for f1=a f2=x

Relative Risk Estimates

Odds Ratio and Relative Risks
Statistic Value 90% Confidence Limits
Odds Ratio 0.5556 0.0587 5.2567
Relative Risk (Column 1) 0.8333 0.4331 1.6035
Relative Risk (Column 2) 1.5000 0.2998 7.5059

Sample Size = 12

Table 2 of grp * rsp

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Col Pct
Table 2 of grp by rsp
Controlling for f1=a f2=y
grp rsp
0 1 Total
1
3
25.00
75.00
37.50
1
8.33
25.00
25.00
4
33.33
 
 
2
5
41.67
62.50
62.50
3
25.00
37.50
75.00
8
66.67
 
 
Total
8
66.67
4
33.33
12
100.00

Statistics for Table 2 of grp by rsp
Controlling for f1=a f2=y

Relative Risk Estimates

Odds Ratio and Relative Risks
Statistic Value 90% Confidence Limits
Odds Ratio 1.8000 0.1902 17.0318
Relative Risk (Column 1) 1.2000 0.6236 2.3090
Relative Risk (Column 2) 0.6667 0.1332 3.3359

Sample Size = 12

Table 3 of grp * rsp

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Col Pct
Table 3 of grp by rsp
Controlling for f1=a f2=z
grp rsp
0 1 Total
1
4
21.05
66.67
50.00
2
10.53
33.33
18.18
6
31.58
 
 
2
4
21.05
30.77
50.00
9
47.37
69.23
81.82
13
68.42
 
 
Total
8
42.11
11
57.89
19
100.00

Statistics for Table 3 of grp by rsp
Controlling for f1=a f2=z

Relative Risk Estimates

Odds Ratio and Relative Risks
Statistic Value 90% Confidence Limits
Odds Ratio 4.5000 0.7947 25.4803
Relative Risk (Column 1) 2.1667 0.9420 4.9833
Relative Risk (Column 2) 0.4815 0.1776 1.3051

Sample Size = 19

Table 4 of grp * rsp

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Col Pct
Table 4 of grp by rsp
Controlling for f1=b f2=x
grp rsp
0 1 Total
1
7
35.00
77.78
70.00
2
10.00
22.22
20.00
9
45.00
 
 
2
3
15.00
27.27
30.00
8
40.00
72.73
80.00
11
55.00
 
 
Total
10
50.00
10
50.00
20
100.00

Statistics for Table 4 of grp by rsp
Controlling for f1=b f2=x

Relative Risk Estimates

Odds Ratio and Relative Risks
Statistic Value 90% Confidence Limits
Odds Ratio 9.3333 1.6612 52.4396
Relative Risk (Column 1) 2.8519 1.2053 6.7479
Relative Risk (Column 2) 0.3056 0.1048 0.8906

Sample Size = 20

Table 5 of grp * rsp

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Col Pct
Table 5 of grp by rsp
Controlling for f1=b f2=y
grp rsp
0 1 Total
1
1
5.00
11.11
12.50
8
40.00
88.89
66.67
9
45.00
 
 
2
7
35.00
63.64
87.50
4
20.00
36.36
33.33
11
55.00
 
 
Total
8
40.00
12
60.00
20
100.00

Statistics for Table 5 of grp by rsp
Controlling for f1=b f2=y

Relative Risk Estimates

Odds Ratio and Relative Risks
Statistic Value 90% Confidence Limits
Odds Ratio 0.0714 0.0094 0.5420
Relative Risk (Column 1) 0.1746 0.0354 0.8609
Relative Risk (Column 2) 2.4444 1.2333 4.8449

Sample Size = 20

Table 6 of grp * rsp

Cross-Tabular Freq Table

Frequency
Percent
Row Pct
Col Pct
Table 6 of grp by rsp
Controlling for f1=b f2=z
grp rsp
0 1 Total
1
5
29.41
83.33
55.56
1
5.88
16.67
12.50
6
35.29
 
 
2
4
23.53
36.36
44.44
7
41.18
63.64
87.50
11
64.71
 
 
Total
9
52.94
8
47.06
17
100.00

Statistics for Table 6 of grp by rsp
Controlling for f1=b f2=z

Relative Risk Estimates

Odds Ratio and Relative Risks
Statistic Value 90% Confidence Limits
Odds Ratio 8.7500 1.0976 69.7556
Relative Risk (Column 1) 2.2917 1.1138 4.7153
Relative Risk (Column 2) 0.2619 0.0557 1.2310

Sample Size = 17

Summary for grp * rsp

The FREQ Procedure

Summary Statistics for grp by rsp
Controlling for f1 and f2

Cochran-Mantel-Haenszel Statistics

Cochran-Mantel-Haenszel Statistics (Based on Table Scores)
Statistic Alternative Hypothesis DF Value Prob
1 Nonzero Correlation 1 1.7238 0.1892
2 Row Mean Scores Differ 1 1.7238 0.1892
3 General Association 1 1.7238 0.1892

Common Relative Risk Estimates

Common Odds Ratio and Relative Risks
Statistic Method Value 90% Confidence Limits
Odds Ratio Mantel-Haenszel 1.6494 0.8539 3.1860
  Logit 2.0571 0.9189 4.6051
Relative Risk (Column 1) Mantel-Haenszel 1.2949 0.9373 1.7889
  Logit 1.4212 1.0321 1.9569
Relative Risk (Column 2) Mantel-Haenszel 0.7417 0.4908 1.1210
  Logit 0.9224 0.5950 1.4298

Breslow-Day Test

Breslow-Day Test for
Homogeneity of Odds Ratios
Chi-Square 15.0899
DF 5
Pr > ChiSq 0.0100

Total Sample Size = 100

Odds Ratio Plot

Plot of Odds Ratios with 90% Wald Confidence Limits

Relative Risk Plot

Plot of Relative Risks with 90% Wald Confidence Limits