How to get the P-values from GLM results?

I believe you're looking for summary.  So

my.glm<-glm(Response ~ TrtA*TrtB)
summary(my.glm)

will give you p values for each parameter value.  Similarly anova(my.glm)
will give you p values for the likelihood ratio chi-square statistic for
each factor using sequential tests.  You can also use Anova from the car
library for tests corresponding to a type II sums of squares analysis.

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