For nominal response variables, the Fit Model platform fits a linear model to a multi-level logistic response function using maximum likelihood. Likelihood-ratio statistics and Lack of Fit tests are computed for the whole model. Likelihood-ratio tests and Wald tests can be computed for each effect in the model. When the response is binary, odds ratios (with confidence intervals) are available.
For ordinal response variables, the Fit Model platform fits the cumulative response probabilities to the logistic distribution function of a linear model using maximum likelihood. Likelihood-ratio test statistics are provided for the whole model and lack of fit.
For simple main effects, you can use the Fit Y by X platform to see a cumulative logistic probability plot for each effect. See the Basic Analysis book.