How to test if the odds of success are significantly different from zero

pydbl

New Member
#1
Hi all,

Suppose I have a model below (in R):

glmer(Y~X + (1|subject), family="binomial", data=dat)

Where Y is the binary outcome variable and X is the sole predictor variable with 6 levels.

The results of the regression test is below. The intercept is the log odds of success for the reference level (level 1 of X), and the slopes indicate the log odds ratio of the other levels to the reference level.

Estimate Std. Error z value Pr(>|z|)
(Intercept) 2.1745 0.3517 6.183 6.3e-10 ***
X2 -0.5559 0.3276 -1.697 0.0897 .
X3 0.2309 0.3634 0.635 0.5252
X4 -4.8587 0.4155 -11.693 < 2e-16 ***
X5 -2.8946 0.3200 -9.045 < 2e-16 ***
X6 -3.6111 0.3387 -10.663 < 2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

This is all fine. However, what kinds of statistical tests can I use if I would also like to check whether each level (including the reference level)'s odds of success are significantly higher than 0? Thank you!
 

hlsmith

Less is more. Stay pure. Stay poor.
#2
Clarification, you don't want odds ratios you want to know if a singe level has an odds for the outcome greater than value "0". You may or may not have alluded to this but these betas are built by using X1 as the reference.

I like this question, unfortunately I am not well versed in R, so I will be interested in other's feedback.
 

pydbl

New Member
#3
Clarification, you don't want odds ratios you want to know if a singe level has an odds for the outcome greater than value "0". You may or may not have alluded to this but these betas are built by using X1 as the reference.

I like this question, unfortunately I am not well versed in R, so I will be interested in other's feedback.

I am not necessarily looking for an R function/package that allows me to do that. I am more interested in what statistical test, generally speaking, allows me to do that. Also, if you know any other statistical program that can do what I want to do, that's fine too. I also have SAS, STATA, MATLAB, and SPSS on my computer :).

And also, you are right, I want to know if the odds are significantly greater than 0.