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I've fitted an ordinal logistic regression model in R using MASS::polr and I am looking to compute confidence intervals for the fitted coefficients.

Here is the (cropped) model output:

polr(formula = response ~ group, data = df, 
    Hess = TRUE, method = "logistic")

Coefficients: Value Std. Error t value group1 -0.5279 0.7007 -0.7533 group2 -1.0144 0.7163 -1.4163

My 2 questions:

  1. What distribution should I use? My natural assumption was the t-distribution but I've seen instances online of people using the normal.

  2. If the t-distribution, how many degrees of freedom should I use? My hunch was the residual degrees of freedom of the model (n - p) but I've seen instances of people using 1 as well.

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