Some Models for the Analysis of Association in Multiway Cross-Classifications Having Ordered Categories

Clogg, Clifford C.

doi:10.1080/01621459.1982.10477891

Cited by 149 publications

(115 citation statements)

References 27 publications

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“…Clogg [9] and Beh and Davy [6,7] considered this contingency table for their analyses. The three variables can be seen to be of an ordinal nature, and so the log-linear analysis of sub-section 7.1 can be applied.…”

Section: Example 2 -A Completely Ordered Three-way Tablementioning

confidence: 99%

A Non-Iterative Alternative to Ordinal Log-Linear Models

Beh

Davy

2004

J. of Appl. Math & Decision Sc.

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Abstract. Log-linear modeling is a popular statistical tool for analysing a contingency table. This presentation focuses on an alternative approach to modeling ordinal categorical data. The technique, based on orthogonal polynomials, provides a much simpler method of model fitting than the conventional approach of maximum likelihood estimation, as it does not require iterative calculations nor the fitting and re-fitting to search for the best model. Another advantage is that quadratic and higher order effects can readily be included, in contrast to conventional log-linear models which incorporate linear terms only.The focus of the discussion is the application of the new parameter estimation technique to multi-way contingency tables with at least one ordered variable. This will also be done by considering singly and doubly ordered two-way contingency tables. It will be shown by example that the resulting parameter estimates are numerically similar to corresponding maximum likelihood estimates for ordinal log-linear models.

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Section: Example 2 -A Completely Ordered Three-way Tablementioning

confidence: 99%

A Non-Iterative Alternative to Ordinal Log-Linear Models

Beh

Davy

2004

J. of Appl. Math & Decision Sc.

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“…10 This resulted in a 193 × 193 table of occupational titles, which was the input of the RC-II Goodman's association model (Goodman 1979;Clogg 1982;Hauser, 1984) through which the scale scores were estimated.…”

Section: Building the Icamsmentioning

confidence: 99%

A new international measure of social stratification

Meraviglia

Ganzeboom

Luca

2016

Contemporary Social Science

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In this paper we present a new international measure of social stratification, the ICAMS (International Cambridge Scale). Our aim is to bring new evidence to the hypothesis that the construct that underlies measures of social stratification as different as prestige scales, socioeconomic indexes, social distance and social status scales is actually unidimensional. We evaluate the new scale according to both criterion-related and construct validity. Our analysis shows that the ICAMS is a valid indicator of social stratification, being almost as valid as International Socio-Economic Index (ISEI) in what we termed the generic, the homogamy and the social mobility models, and being better than ISEI in the cultural consumption model. The second key result is that all continuous measures we consider (ICAMS, ISEI and Standard International Occupational Prestige Scale) are indicators of the same latent dimension, which is unidimensional. This latter result is compatible with more than one explanation, hence calling for further research.

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“…Association models have been generalized by Clogg (1982), but like association models for a single table, the representation of association is indirect. Summary measures can be obtained for each of the tables, and using confidence intervals, it can be verified whether the association differs.…”

Section: Introductionmentioning

confidence: 99%

Visualizing, Summarizing, and Comparing Odds Ratio Structures

Rooij

Anderson

2007

Methodology

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The odds ratio is one of the main measures of association in 2 × 2 tables. For larger tables, summary measures of association have been proposed as well as modeling strategies, where the odds ratios can be deduced from the parameters of a model. We propose a computationally simple scaling methodology, which gives a summary measure of association and a visualization of the odds ratio structure. Different variants of the methodology are discussed and compared, both theoretically and empirically. The methodology is also generalized to multiple tables, where not only the structure of each table is important, but also comparisons among tables.

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Some Models for the Analysis of Association in Multiway Cross-Classifications Having Ordered Categories

Cited by 149 publications

References 27 publications

A Non-Iterative Alternative to Ordinal Log-Linear Models

A Non-Iterative Alternative to Ordinal Log-Linear Models

A new international measure of social stratification

Visualizing, Summarizing, and Comparing Odds Ratio Structures

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