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I'm looking for a quick reference on how to do some residual analysis for logistic regression in R. Oddly enough, this has not been easy to find.

The data set I am working with is the Add.dat which can be found here: https://www.uvm.edu/~dhowell/fundamentals9/DataFiles/

Once imported I had to convert the binary variables to factors:

cols <- c(3, 4, 9, 10)
Add[,cols] <- lapply(Add[, cols], factor)

The model I'm using is very simple:

glm(formula = Repeat ~ ADDSC, family = binomial, data = Add)

I have several questions that should be relatively straight forward for the experienced:

  1. How do I find the leverage of the predictor variable?
  2. How do I find Cook's distance (namely, the cooks.distance function does seem to work for glm according to the help file, but I would just like validation of that)?
  3. How do I find the dfBeta values for the slope?
  4. Similarly, is there a way to get the delta chi-square/delta deviance for the observations?

Also, what is a good way of graphing the pearson residuals?

In short, I am basically looking to replicate the output of adding the influence command in SAS for logistic regression.

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  • $\begingroup$ You can take ideas from: stats.stackexchange.com/questions/398817/…, stats.stackexchange.com/questions/406860/…, stats.stackexchange.com/questions/436481/… look into the R DHARMa package. $\endgroup$ Nov 27, 2019 at 13:39
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    $\begingroup$ Thanks for this resource. I'm working through it now. It's very cool and surprisingly intuitive. I am going to use this, but, that said, this doesn't (so far as I can tell) answer my questions. The reason I need direct answers is because I'm specifically trying to replicate what SAS is doing in helping a professor of mine, and I obviously don't want to get it wrong. I will, however, also work through dharma and show it to her as well. $\endgroup$
    – Michael
    Nov 28, 2019 at 1:09
  • $\begingroup$ I don't know about sas, so some other must answer that. I added the sas tag so people interested in that can see it. $\endgroup$ Nov 28, 2019 at 1:19
  • $\begingroup$ I was debating that myself. Probably the best idea. Thank you. $\endgroup$
    – Michael
    Nov 28, 2019 at 3:53

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