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...

Estimation of a variable’s dependence against another one is considered in a new approach based on a Coefficient of Structural Association (CSA). This method profiles the distribution of one variable along the segments formed by another one, and yields a gauge similar to the coefficient of...

The Bradley-Terry model (BT) is commonly used for evaluation of choice preferences by paired comparison data in various areas of applied psychology, advertising, and marketing research. The estimation of BT parameters of preference is usually achieved in an iterative procedure based on the...