(Data file: AMS survey) The example discussed in Section 12.3 concerns 2008–2009 PhDs in the mathematical sciences. Also included in the data file is an additional variable count11 that gives the...

(Data file: AMS survey)

The example discussed in Section 12.3 concerns 2008–2009 PhDs in the mathematical sciences. Also included in the data file is an additional variable count11 that gives the number of mathematical sciences PhDs in 2011–2012. Analyze these data to parallel the analysis in the text and summarize your results.

View these data as a four-dimensional table, with the dimensions type, sex, citizen, and year, where year is either 2008–2009 or 2011–2012. Fit models to this four-factor problem, and summarize results.