The Analysis of Contingency TablesMuch of the data collected in medicine and the social sciences is categorical, for example, sex, marital status, blood group, whether a smoker or not and so on, rather than interval-scaled. Frequently the researcher collecting such data is interested in the relationships or associations between pairs, or between a set of such categorical variables; |
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adequate fit Agresti arise calculated chapter chi-square distribution chi-square statistic chi-square test classification confidence interval consequently considered contingency table coronary heart disease correspondence analysis D₁ data in Table data shown degrees of freedom Dementia 78 Depressi 74 diagnosis differences drug expected frequencies expected values explanatory variables Fijk Fisher's exact test Fisher's test given in Table gives Goodman hypothesis of independence independence model investigation involving linear linear-logistic models log-linear models logistic model maximum likelihood McNemar's test measures of association method model specified multidimensional tables mutual independence nausea neurotics Nijk number of observations observed frequencies observed values obtained ordered categories P₁ parameter estimates patients Placebo population probability procedure proportions response variable row and column sample shown in Table significant social class standard error suicidal feelings tables with ordered three-way table tuberculosis tumours value of X2 variables forming variance zero