Grizzle, 1972, Analysis of Contingency Tables
Having Ordered Response Categories, Journal of the American Statistical Association, 67: 55-63.
Using a 2 x 5 contingency table
allowed for four degrees of freedom, which set the alpha critical at 9.
The results support Hypotheses 1 and 3, and this conclusion is consistent with those derived from the contingency tables
and the univariate analysis.
Since this was the only site in the sample to be classified as climatic exposure 3 (highly exposed), removing it from the analysis reduced climatic exposure from three levels to two, substantially reducing the size of the contingency table
and making the modelling more robust.
TABLE 1 Contingency Table
Examining Relationship Between Lead Levels and Age of Building Age of Building (n) < 1 ppb (a) 1 to <2 0 ppb > 20 ppb Lead Lead Lead < 5 Years (3) 3 0 0 5 to < 25 Years (18) 15 3 0 25 to < 45 Years (17) 11 6 0 > 45 Years (18) 9 7 2 Totals (56) 38 16 2 Note.
Analysis of contingency tables
by correspondence models subject to order constraints.
The first approach is to use contingency tables
to test whether assumptions of the open population models are violated.
Estabrook, New Hampshire, USA), which performs randomized contingency tables
and gives probabilities for deviations from expected values (29).
Initial exploratory analyses involved three-dimensional contingency tables
to assess the relationship between the occurrence of pollock and year, bottom depth, geographic region, and distance from land.
For a broader introduction to categorical data analysis and an understanding of the relationship between contingency tables
and generalized linear models, the book of Agresti (2) is suggested.
introduces statistical techniques used for understanding business and the social sciences, including basic probability tools, ways to summarize data using charts and graphs and summary statistics, Bayes' theorem, sampling, estimation, confidence intervals, hypothesis testing for one and two samples, contingency tables
, goodness-of-fit, analysis of variance, and population variances.
of Florida) provides and introduction to the most important methods of performing categorical data analysis, covering contingency tables
, generalized linear models, logistic regression, building and applying logistic regression models, multicategory logit models, loglinear models for contingency tables
, models for matched pairs, modeling co-related or clustered responses, random effects in generalized linear mixed models and an historical tour of categorical data analysis.