The Independent newspaper tabulated the gender of all candidates running for election in the 1992 British general election (Table 2) (from Hand et al [2]).
Table 2: The gender of candidates in the 1992 British general election
(a) Plot the proportion of female candidates against the Party, and comment.
(b) Plot the proportion of female candidates against the Region, and comment.
(c) Clearly state a nal model that adequately models the gender of candidates. Use the AIC and the deviance to help you decide on a model.
(d) Is there evidence that the interaction term is necessary?
(e) Is there evidence of under- or over-dispersion?
(f) Which link function appears best, and why?
(g) Compute the odds ratio of having a female Labour candidate to a female Conservative raw data
| Region |
Party |
Females |
Males |
| SouthEast |
Cons |
8 |
101 |
| SouthWest |
Cons |
3 |
45 |
| GreaterLondon |
Cons |
8 |
76 |
| EastAnglia |
Cons |
1 |
19 |
| EastMidlands |
Cons |
3 |
39 |
| Wales |
Cons |
2 |
36 |
| Scotland |
Cons |
9 |
63 |
| WestMidlands |
Cons |
8 |
50 |
| YorksHumbers |
Cons |
3 |
51 |
| NorthWest |
Cons |
8 |
65 |
| North |
Cons |
4 |
32 |
| SouthEast |
Labour |
25 |
84 |
| SouthWest |
Labour |
12 |
36 |
| GreaterLondon |
Labour |
27 |
57 |
| EastAnglia |
Labour |
4 |
16 |
| EastMidlands |
Labour |
7 |
35 |
| Wales |
Labour |
4 |
34 |
| Scotland |
Labour |
5 |
67 |
| WestMidlands |
Labour |
15 |
43 |
| YorksHumbers |
Labour |
9 |
45 |
| NorthWest |
Labour |
16 |
57 |
| North |
Labour |
2 |
34 |
| SouthEast |
LibDem |
28 |
81 |
| SouthWest |
LibDem |
13 |
35 |
| GreaterLondon |
LibDem |
19 |
63 |
| EastAnglia |
LibDem |
4 |
16 |
| EastMidlands |
LibDem |
6 |
36 |
| Wales |
LibDem |
8 |
30 |
| Scotland |
LibDem |
21 |
51 |
| WestMidlands |
LibDem |
9 |
49 |
| YorksHumbers |
LibDem |
12 |
42 |
| NorthWest |
LibDem |
12 |
61 |
| North |
LibDem |
4 |
32 |
| SouthEast |
Green |
15 |
42 |
| SouthWest |
Green |
6 |
21 |
| GreaterLondon |
Green |
13 |
37 |
| EastAnglia |
Green |
4 |
6 |
| EastMidlands |
Green |
3 |
8 |
| Wales |
Green |
0 |
7 |
| Scotland |
Green |
6 |
14 |
| WestMidlands |
Green |
4 |
11 |
| YorksHumbers |
Green |
3 |
22 |
| NorthWest |
Green |
5 |
17 |
| North |
Green |
1 |
7 |
| SouthEast |
Other |
27 |
86 |
| SouthWest |
Other |
11 |
61 |
| GreaterLondon |
Other |
21 |
93 |
| EastAnglia |
Other |
8 |
23 |
| EastMidlands |
Other |
7 |
19 |
| Wales |
Other |
10 |
44 |
| Scotland |
Other |
17 |
87 |
| WestMidlands |
Other |
5 |
30 |
| YorksHumbers |
Other |
6 |
22 |
| NorthWest |
Other |
20 |
75 |
| North |
Other |
3 |
6 |