Contradictory Ranking: Group Means vs Nominal Logistic Regression
We have four categories, each with 1000 (continuous) responses. The order for the average response A < B < C << D. The order obtained by nominal logistic regression: A < C < B << D. (The difference between means B and C is 1.64%). I understand that nominal logistic regression is based on likelihood ratios for different rankings, but it is still puzzling to me that the same dataset yields a differ...