Two statisticians have been arguing about the best way to us…

Two statisticians have been arguing about the best way to use this data set.   Statistician A: Just use speed, lights, time, and blinker. Statistician B: Yes use all those, but include speed^2 and an interaction between lights and time.   Compare the two models (call it ModelA and ModelB) and perform a likelihood ratio test for H0: ModelA = ModelB The Chi-squared statistic would be The p-value would be Which means which leads us to conclude

A client wishes to do a sample size calculation for a logist…

A client wishes to do a sample size calculation for a logistic model that will predict getting a promotion based on four rankings X1, X2, X3, and X4 (all of which are measured from 0 to 100).     X1:             X2: X3:              X4: The client has drawn the four probability plots below to explain their opinion on the effect of getting a promotion based on each variable.   Match the plot to the appropriate equation.