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