A property of the CHAID partitioning method for dichotomous randomized response data and categorical predictors
Perri, Pier Francesco and van der Heijden, Peter G.M. (2012) A property of the CHAID partitioning method for dichotomous randomized response data and categorical predictors. Journal of Classification, 29, (1), 76-90. (doi:10.1007/s00357-011-9094-8).
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Description/Abstract
In this paper, we present empirical and theoretical results on classification trees for randomized response data. We considered a dichotomous sensitive response variable with the true status intentionally misclassified by the respondents using rules prescribed by a randomized response method. We assumed that classification trees are grown using the Pearson chi-square test as a splitting criterion, and that the randomized response data are analyzed using classification trees as if they were not perturbed. We proved that classification trees analyzing observed randomized response data and estimated true data have a one-to-one correspondence in terms of ranking the splitting
variables. This is illustrated using two real data sets.
| Item Type: | Article |
|---|---|
| ISSNs: | 0176-4268 (print) 1432-1343 (electronic) |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculty of Social and Human Sciences > Southampton Statistical Sciences Research Institute |
| Item ID: | 344655 |
| Date Deposited: | 09 Nov 2012 16:13 |
| Last Modified: | 09 Nov 2012 16:13 |
| Contributors: | Perri, Pier Francesco (Author) van der Heijden, Peter G.M. (Author) |
| Date: | April 2012 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/344655 |
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