This paper considers methods of estimation of choice probability using Maximum Difference (MaxDiff) technique, also known as Best-Worst Scaling (BWS). The paper shows that on the aggregate level the choice probabilities can be obtained using analytical closed-form solution and other approaches...

There exists a seemingly evident but not explicitly noted property of a polynomial function: a mean value of its roots equals the mean value of the locations of its critical points – those could be the extrema and inflexion points. This note states a theorem on it, and describes some...

In contrast to the common belief that the logit model has no analytical presentation, it is possible to find such a solution in the case of categorical predictors. This paper shows that a binary logistic regression by categorical explanatory variables can be constructed in a closed-form...