Simple Poisson regression with a binary x

Theoretical examples

Example 1
We examine the association between gender (x) and the number of online healthcare visits per year (y) by means of a simple Poisson regression analysis. Gender has the values 0=Man and 1=Woman, whereas the number of online healthcare visits ranges between 0 and 25. The IRR we get is 1.72. This would mean that women have a higher rate of online healthcare visits per year in comparison to men.
Example 2
In this study, the association between employment status (x) and the number of coffee cups consumed per day (y) is examined. Employment status is coded as 0=Unemployed and 1=Employed. The number of coffee cups consumed per day ranges between 0 and 15. We get an IRR of 0.67. In other words, employed individuals have a lower rate of coffee cups consumed per days as compared to unemployed individuals. 

Practical example

Dataset
StataData1.dta
Variable namechildren
Variable labelNumber of children (Age 40, Year 2010)
Value labelsN/A
Variable namesex
Variable labelSex
Value labels0=Man
1=Woman

sum children sex if pop_poisson==1

poisson children sex if pop_poisson==1, irr

When we look at the results for sex, we see that the incidence rate ratio (IRR) is 1.32. Thus, one unit increase in sex is associated with a higher rate of children. This means that women have a rate of children that is 1.32 times higher compared to that of men.

The association between sex and children is statistically significant, as reflected in the p-value (0.000) and the 95% confidence intervals (1.28-1.37).

Summary
Women have a statistically significantly higher rate of children, compared to men (IRR=1.32; 95% CI=1.28-1.37).