Analysis of a 2x2 Contingency Table

[sebai]

I want to create a crosstabulation table between Region and season:

	Spring	Summer	p-value
Region 1	.. %	..%	P1
Region 2	.. %	.. %	P2
Region 3	..%	.. %	P3

I want to:

Check if the % of people in region 1 is different between spring and summer (p-value or OR)

Check if the % of people in region 2 is different between spring and summer (p-value or OR)

Check if the % of people in region 3 is different between spring and summer (p-value or OR)

What test should I use to get the 3 p-values needed?

[PaigeMiller]

As far as I remember, a simple comparison of proportions as you describe (which is not really a 2x2 contingency table at all) is not programmed into any SAS PROC. However, it is simple enough to program in data step.

As is usual, @Rick_SAS has written up the explanation at https://blogs.sas.com/content/iml/2017/07/05/test-equality-two-proportions-sas.html

[Reeza]

It's not a 2X2 table, since it's literally a 1 (row=REGION) X 2 (column=SEASON) comparison. 

One way would be to use a BY statement in the PROC FREQ. 

Here's an example that gets the binomial test, which tests that the proportions should be 50% in each group. Note that you'll need the N's here, NOT the percentages. You need both the N and percentages or the raw data.

proc sort data=sashelp.class out=class; by age sex; run;

ods output binomialTest=pvalues;
proc freq data=class;
by age;
table sex / out=summary_table chisq binomial;
run;

PS. The reusults are not in a nice neat table, but all the information is in the two output tables:

1. Summary_Table -> has the counts and percentages
2. Values -> has the p-values for each test