Hi all,
I am attempting to perform a multinomial logistic regression to predict a 3-level ordinal DV (Y = {0,1,2}) with a 3-level nominal IV (Y = {2,3,4}, but non-ordered). I would like to produce the following output:
Odds of "Yes vs. No" in being in category 2 in DV, when in category 2 in IV
Odds of "Yes vs. No" in being in category 2 in DV, when in category 3 in IV
Odds of "Yes vs. No" in being in category 2 in DV, when in category 4 in IV
Ditto for above, but for category 1 in DV
Ditto for above, but for category 0 in DV
Using PROC Surveylogistic, I have the following two blocks of code:
Block 1:
proc surveylogistic data=A weight weight; class X (ref = '4') / param = ref; model Y(descending) = X; estimate 'Odds of Y = 1 OR 2 due to X = 2' intercept 1 X 2 / CL EXP Category = '1'; estimate 'Odds of Y = 2 due to X = 2' intercept 1 X 2 / CL EXP Category = '2';
estimate 'Odds of Y = 1 OR 2 due to X = 3' intercept 1 X 3 / CL EXP Category = '1';
estimate 'Odds of Y = 2 due to X = 3' intercept 1 X 3 / CL EXP Category = '2';
estimate 'Odds of Y = 1 OR 2 due to X = 4' intercept 1 X 4 / CL EXP Category = '1';
estimate 'Odds of Y = 2 due to X = 4' intercept 1 X 4 / CL EXP Category = '2';
run;
Block 2:
proc surveylogistic data=A weight weight; class X (ref = '4') / param = ref; model Y= X; estimate 'Odds of Y = 0 due to X = 2' intercept 1 X 2 / CL EXP Category = '0'; estimate 'Odds of Y = 0 due to X = 3' intercept 1 X 2 / CL EXP Category = '0';
estimate 'Odds of Y = 0 due to X = 4' intercept 1 X 3 / CL EXP Category = '0';
run;
To my understanding, the above two procs give me the following:
1. Odds of "Yes vs. No" in being in category 2 in DV, when in category {2,3,4} in IV <- Block 1
2. Odds of "Yes vs. No" in being in AT LEAST category 2 in DV (category 1 OR 2), when in category {2,3,4} in IV <- Block 1
3. Odds of "Yes vs. No" in being in category 0 in DV, when in category {2,3,4} in IV <- Block 2
Question: How can I use Estimate statements to extract "Odds of 'Yes vs. No' in being in category 1 in DV when in category {2,3,4} in IV?" I am confused about how to obtain Odds Ratios for the middle category, given my understanding on how ordinal logistic regression custom hypothesis testing works using PROC Surveylogistic Estimate statements.
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