I know this is probably very simple but I’m struggling to get my head around this. I want to determine the impact of female teachers (as a count of female teachers) on gender equality ( a score but not a test score) compared to male teachers – the hypothesis is that more female teachers will increase gender equality. I am aware there are problems with endogeneity etc but I just want to focus on the data analysis part for the moment.
(This is not the actual data I'm using, I've changed it.The data I'm using is panel data at the country level so total female teachers in the country and gender equality score for the country over time - again I am aware of endogeneity issues etc)
When I do a single regression with panel data the impact of female teachers on equality is insignificant as is the impact of male teachers and total teachers when I run them as a simple single regressions. However, when I run a multiple regression with female and male teachers both become significant with opposite signs for their coefficient. When I include female teachers, male teachers and total number of teachers only female teachers is significant. I mostly understand why this is but I’m just not sure which result is the most reliable – the single, male and female or male, female and total since they are all quite different.
Any help is greatly appreciated, thank you for your time