@PaigeMiller , You are right in that I have not clearly stated the null hypothesis. So lets assume my null hypothesis is there is no relationship between X any Y with 95% confidence. I get the following results:
Observed
Y
0
1
Total
X
0
1,360,524
1,073,073
2,433,597
1
194
7
201
Total
1,360,718
1,073,080
2,433,798
Expected
Y
0
1
X
0
1,360,606
1,072,991
2,433,597
1
112
89
201
1,360,718
1,073,080
2,433,798
Chi-Square = 134.47 (P < .0001)
Odds Ratio = 0.0457 (0.0215 - 0.0972)
I interpret this to mean I can reject the null hypothesis, meaning there is a relationship between X an Y. Further the odds ratio suggest a negative correlation between X an Y (this is a surprising result). If a subject is in program X then an outcome of Y (Y=1) is less likely.
Here are some more measures:
Statistic
Value
ASE
Gamma
-0.9125
0.0322
Kendall's Tau-b
-0.0074
0.0004
Stuart's Tau-c
-0.0001
0.0000
Somers' D C|R
-0.4061
0.0129
Somers' D R|C
-0.0001
0.0000
Pearson Correlation
-0.0074
0.0004
Spearman Correlation
-0.0074
0.0004
Lambda Asymmetric C|R
0.0000
0.0000
Lambda Asymmetric R|C
0.0000
0.0000
Lambda Symmetric
0.0000
0.0000
Uncertainty Coefficient C|R
0.0001
0.0000
Uncertainty Coefficient R|C
0.0422
0.0038
Uncertainty Coefficient Symmetric
0.0001
0.0000
... View more