Interpreting logistic regression coefficients for a categorical variable

Question

I got these results from a logistic regression in R. The data are the proportion of women elected in Uk elections, according to their party.

As you can see, I used exp() to get rid off of the log function, so these are the odds, not the log odds.
How can I interpret these, since I don't see how I can say that for every 1 unit increase in party, there is an increase in the odds. Are these odd ratios comparing with each other, I mean comparing with the odd ratios for all other parties?

gung - Reinstate Monica · Answer

This isn't really a 'discrete' variable, it's a categorical variable.  Only the intercept is the odds of a woman (in the reference level party) being elected.  The other coefficients are odds ratios.  You multiply those odds ratios times the odds in the intercept to get the odds of a woman in the, say, green party being elected (in that case the odds is .3125, or about 24%).
It may help you to read:

Interpretation of simple predictions to odds ratios in logistic regression
Interpretation of betas when there are multiple categorical variables

Interpreting logistic regression coefficients for a categorical variable

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