Stat 5302, Spring 2011

R. D. Cook                                                                                         

Assignment 9

 

Due in Lab Thursday, April 21

 

Reading:  Chapter 12, 13

 

Problems to be handed in: 12.6.2, 12.6.5, 13.3, 13.4.1 (Additional problems in Ch. 13 will be on the next assignment)

 

12.6.10    Consider the regression of y on Rank and Year only.  Assume that the mean function for the regression of y on Year is linear within each rank,

            E(y | Rank =r, Year) = h0r + h1rYear

Using indicator variables that you define, write versions of this model that satisfy the following descriptions.

            (a) The slopes h1k are constant, but the intercepts h0k may change with Rank.

            (b) The intercepts h0k are constant, but the slopes may change with Rank.

            (c) Both the slopes and intercepts may change with Rank.

 

12.6.11 Construct the one-way analysis of variance for the regression of y on Rank, along with a graphical display that represents the analysis.  Write a one or two sentence description of your conclusions.