الفهرس 
AbstractOnly 14 pages are availabe for public view
 |  | from | 117 |  |  |
| | | from | 117 | | |
Abstract
. Estimation and hypothesis testing for categorical data
Suppose that we have r populations each divided into c
categories. Let be the probability that an observation drawn at
random from the population belongs to the j-th category. A
sample of size n i is drawn from each population. Let be the
observed frequency in the category of the i-th sample,The frequencies x.. can be represented formally in a contingency table. An appropriate probability model ~, for the observed frequencies xi.is given by:
that the same contingency table (two dimensional) could arise under
three different models. For further information about types of models
in general contingency tables, see Imrey and Koch (1972, pp. 6-10).
Hypothesis testing concerning contingency tables is normally carried out in two steps: 1) providing point estimates for the unknown parameters involved in the underlying probability model, 2) producing a test statistic for the given null hypothesis. The discussion of this section maintains this logical order.