A Logistic Function for Hiring University Professors

Abstract

The main objective of this study was the derivation of a probability model for hiring university professors. This was done by considering the logistic curve as the primary function and by letting P¯ as the number of actual research output of the professor with k as his expected research output in the university. This will give yield us P¯/k as the probability that a professor will do and publish research for a given number Yi of research produced and published. Factors for research productions and publications are integrated using the independent variables x1, x2,. . . , xn. Then the identified predictors are then become the basis for the probability model, the derived statistics logistic function from the odds-ratio of doing to not-doing research. More precisely, the resulting model is P(Yi) = 1/ 1 + e (−β0+β1x1+β2x2+...+βnxn) where the arbitrary constants β0, β1, ..., βn can be obtained by means of the usual multiple regression analysis.