The randomized response log linear model as a composite link model
van den Hout, Ardo, Gilchrist, Robert and van der Heijden, Peter G.M. (2010) The randomized response log linear model as a composite link model. Statistical Modelling, 10, (1), 57-67. (doi:10.1177/1471082X0801000104).
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Description/Abstract
In randomized response (RR) designs, misclassification is used to protect the privacy of respondents when sensitive questions are asked. A generalized linear model with a composite link function is presented to formulate log linear models that take the RR design into account. The approach is extended to model the situation where some respondents do not follow the instructions of the RR design. For example, if there are three binary RR variables with regard to practicing fraud, the 2 × 2 × 2 cross-classification of the true answers is latent due to the misclassification. Using composite link functions, log linear models can be specified for the latent table to investigate possible association between the variables. Fast iteratively re-weighted least squares algorithms are presented.
| Item Type: | Article |
|---|---|
| ISSNs: | 1471-082X (print) 1477-0342 (electronic) |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute |
| Item ID: | 344664 |
| Date Deposited: | 26 Oct 2012 11:24 |
| Last Modified: | 26 Oct 2012 11:24 |
| Contributors: | van den Hout, Ardo (Author) Gilchrist, Robert (Author) van der Heijden, Peter G.M. (Author) |
| Date: | April 2010 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/344664 |
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