The SAS System

The FREQ Procedure

Frequency
Expected
Deviation
Cell Chi-Square
Percent
Row Pct
Col Pct
Table of CHD by serum
CHD serum
0-199 200-199 220-259 260+ Total
chd
12
22.083
-10.08
4.6037
0.90
13.04
3.76
8
17.583
-9.583
5.223
0.60
8.70
3.15
31
32.536
-1.536
0.0725
2.33
33.70
6.60
41
19.798
21.202
22.704
3.09
44.57
14.34
92
 
 
 
6.92
 
 
nochd
307
296.92
10.083
0.3424
23.10
24.82
96.24
246
236.42
9.5831
0.3885
18.51
19.89
96.85
439
437.46
1.5357
0.0054
33.03
35.49
93.40
245
266.2
-21.2
1.6886
18.43
19.81
85.66
1237
 
 
 
93.08
 
 
Total
319
24.00
254
19.11
470
35.36
286
21.52
1329
100.00

Statistics for Table of CHD by serum

Statistic DF Value Prob
Chi-Square 3 35.0285 <.0001
Likelihood Ratio Chi-Square 3 31.9212 <.0001
Mantel-Haenszel Chi-Square 1 26.1475 <.0001
Phi Coefficient   0.1623  
Contingency Coefficient   0.1603  
Cramer's V   0.1623  
Statistic Value ASE
Gamma -0.4266 0.0764
Kendall's Tau-b -0.1327 0.0250
Stuart's Tau-c -0.0816 0.0167
Somers' D C|R -0.3167 0.0578
Somers' D R|C -0.0556 0.0114
Pearson Correlation -0.1403 0.0268
Spearman Correlation -0.1448 0.0273
Lambda Asymmetric C|R 0.0116 0.0098
Lambda Asymmetric R|C 0.0000 0.0000
Lambda Symmetric 0.0105 0.0089
Uncertainty Coefficient C|R 0.0089 0.0032
Uncertainty Coefficient R|C 0.0477 0.0168
Uncertainty Coefficient Symmetric 0.0149 0.0054

Sample Size = 1329

Summary Statistics for CHD by serum

Cochran-Mantel-Haenszel Statistics (Based on Table Scores)
Statistic Alternative Hypothesis DF Value Prob
1 Nonzero Correlation 1 26.1475 <.0001
2 Row Mean Scores Differ 1 26.1475 <.0001
3 General Association 3 35.0021 <.0001

Total Sample Size = 1329