# [R] GLM FITTED VALUES TABLE

allan clark allan at stats.uct.ac.za
Fri Nov 28 14:01:56 CET 2003

```   Hi all

I have the following generalized linear problem.

In a study of allergic responses, patients arriving at a clinic in
Groote Schuur hospital were tested for sensitivity to a number of
substances. Three of these were moulds: Cladosporium (C), Alternaria
(F) and Aspergillius (T). Their level of sensitivity was measured on
the Rast Scale as: 0: not allergic   1: mildly allergic   2 or more:
allergic

The data is supplied below. The analysis is fairly straight forward
and I understand how R solves the problem. I've supplied a copy of the
code in order to perform the analysis.

My question is: HOW DOES ONE CONVERT THE OUTPUT (FITTED VALUES)
SUPPLIED BY R AND DISPLAY THEM IN A CONTINGENCY TABLE?

attach(allergy)
allergy.fit.main.2int<-glm(y~ .^2,family=poisson, data=allergy)
fitted(allergy.fit.main.2int)

The fitted values are:
1          2          3          4          5
6          7          8
666.198041  25.858478  14.943481  60.568127   5.350317   5.081557
28.233832   3.791205
9         10         11         12         13
14         15         16
10.974962  32.170233   7.068334   1.761433  14.077680   7.039304
2.883016   7.752087
17         18         19         20         21
22         23         24
5.892362   7.355551  35.631726  14.073188  14.295086   7.354193
6.610380  11.035427
25         26         27
9.014081  12.316433  62.669487

The data for those interested is as follows:

> allergy
t    f    c   y
1  none none none 671
2  none none  one  23
3  none none  two  13
4  none  one none  60
5  none  one  one   8
6  none  one  two   3
7  none  two none  24
8  none  two  one   4
9  none  two  two  15
10  one none none  31
11  one none  one   9
12  one none  two   1
13  one  one none  14
14  one  one  one   6
15  one  one  two   4
16  one  two none   9
17  one  two  one   5
18  one  two  two   7
19  two none none  32
20  two none  one  15
21  two none  two  17
22  two  one none   8
23  two  one  one   5
24  two  one  two  12
25  two  two none  12
26  two  two  one  13
27  two  two  two  59

Regards
Allan

```