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Bombdeath Data data bombdeath; input age $ dose $ LD NLD agemid dosemid; N=LD+NLD; rate=LD/N; datalines; 0_9 absent 0 5015 5 0 0_9 0_9 7 10752 5 5

A study on U.S. Army soldiers investigated the preference for black olives as a function of the soldiers’ origin. N = 644 male subjects were randomly selected from the Rural and Urban locations from each of three U.S. regions: Midwest (MW), Northeast (NE), and Southwest (SW), for a total of six groups. Each individual rated a preference for olives on a six-category original scale: A=extremely, B=dislike very much or moderately, C=dislike a little or neutral, D=like slightly, E=like moderately, F=like very much or extremely like. The data are in the below
A. Fit a statistical model for preference as a function of location, region, and an interaction. Make sure that you check model assumptions (e.g. proportional odds).
B. Simplify your model, if possible, by eliminating effects or combining categories of the predictors.
C. Using your final model, write a short summary for the client that describes the differences in preferences by location and region. As part of this summary make some very specific statements about what your model says about how the odds or probability of liking olives, versus not liking them (i.e., categories A through C, versus D through F.) depends on location and/or region.


data olive;
input type $ region $ preference $ count;
datalines;
Rural MW A 30
Rural MW B 22
Rural MW C 21
Rural MW D 17
Rural MW E 8
Rural MW F 12
Rural NE A 23
Rural NE B 18
Rural NE C 20
Rural NE D 18
Rural NE E 10
Rural NE F 15
Rural SW A 11
Rural SW B 9
Rural SW C 26
Rural SW D 19
Rural SW E 17
Rural SW F 24
Urban MW A 20
Urban MW B 15
Urban MW C 12
Urban MW D 17
Urban MW E 16
Urban MW F 28
Urban NE A 18
Urban NE B 17
Urban NE C 18
Urban NE D 18
Urban NE E 6
Urban NE F 25
Urban SW A 12
Urban SW B 9
Urban SW C 23
Urban SW D 21
Urban SW E 19
Urban SW F 30
;
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Bombdeath Data data bombdeath; input age $ dose $ LD NLD agemid dosemid; N=LD+NLD; rate=LD/N; datalines; 0_9 absent 0 5015 5 0 0_9 0_9 7 10752 5 5 0_9 10_49 3 2989 5 30 0_9 50_99 1 694 5 75 0_9 100_199 4 418 5 150 0_9 200+ 11 387 5 300 10_19 absent 5 5973 15 0 10_19 0_9 4 11811 15 5 10_19 10_49 6 2620 15 30 10_19 50_99 1 771 15 75 10_19 100_199 3 792 15 150 10_19 200+ 6 820 15 300 20_34 absent 2 5669 27 0 20_34 0_9 8 10828 27 5 20_34 10_49 3 2798 27 30 20_34 50_99 1 797 27 75 20_34 100_199 3 596 27 150 20_34 200+ 7 624 27 300 35_49 absent 3 6158 42 0 35_49 0_9 19 12645 42 5 35_49 10_49 4 3566 42 30 35_49 50_99 2 972 42 75 35_49 100_199 1 694 42 150 35_49 200+ 10 608 42 300 50+ absent 3 3695 60 0 50+ 0_9 7 9053 60 5 50+ 10_49 3 2415 60 30 50+ 50_99 2 655 60 75 50+ 100_199 2 393 60 150 50+ 200+ 6 289 60 300 ;
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