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Randomized Response, Statistical Disclosure Control and Misclassificatio: a Review
Author(s) -
Hout Ardo,
Heijden Peter G.M.
Publication year - 2002
Publication title -
international statistical review
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.051
H-Index - 54
eISSN - 1751-5823
pISSN - 0306-7734
DOI - 10.1111/j.1751-5823.2002.tb00363.x
Subject(s) - categorical variable , randomized response , moment (physics) , estimator , statistics , sensitivity (control systems) , odds , econometrics , mathematics , maximum likelihood , boundary (topology) , space (punctuation) , parameter space , computer science , logistic regression , mathematical analysis , engineering , physics , classical mechanics , electronic engineering , operating system
Summary This paper discusses analysis of categorical data which have been misclassified and where misclassification probabilities are known. Fields where this kind of misclassification occurs are randomized response, statistical disclosure control, and classification with known sensitivity and specificity. Estimates of true frequencies are given, and adjustments to the odds ratio are discussed. Moment estimates and maximum Likelihood estimates are compared and it is proved that they are the same in the interior of the parameter space. Since moment estimators are regularly outside the parameter space, special attention is paid to the possibility of boundary solutions. An example is given.