Three-dimensional tables

Toleman, Mark (1982) Three-dimensional tables. In: 1982 Workshop on Biometrical Techniques, 21-23 April 1982, Brisbane, Australia.

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Abstract

So far we have only considered log-linear models for two-dimensional tables. Contingency tables of more than two-dimensions are very common. In this chapter we shall focus on three-dimensional tables and consider log-linear models for such tables. We shall also discuss the concept of collapsibility. In the past many investigators have opted to collapse over variables and examine the two-way tables so generated. Duncalfe (1980) explains that this may be a dangerous procedure and refers to Simpson's paradox. Tables of more than three-dimensions are discussed briefly. This is followed by an example of the analysis of a three-dimensional table.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions.
Depositing User: Mrs Rae Jones
Faculty / Department / School: Historic - Faculty of Business - Department of Information Systems
Date Deposited: 30 Sep 2010 03:03
Last Modified: 02 Jul 2013 23:19
Uncontrolled Keywords: three dimensional tables; log-linear models
Fields of Research (FOR2008): 01 Mathematical Sciences > 0104 Statistics > 010402 Biostatistics
URI: http://eprints.usq.edu.au/id/eprint/5350

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