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| Titel: |
Two Stage Randomized Response Schemes for Estimating a Multinomial |
| Auteur: |
Hochberg, Yosef |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 4 (1975) nr. 11 pagina's 1021-1032 |
| Jaar: |
1975 |
| Inhoud: |
Warner's (1965) original randomized response technique for dichotomous data was extended by Abul-Ela, et al. (1967) to the case of a multinomial with t ≥ 3 groups, r of which are stigmatizing. A competing approach for estimating a multinomial via the randomized response technique is discussed by Warner (1971). Yet a third approach, for the multinomial is considered by Greenberg, et al. (1969) and is based on using an alternate independent question. Here, we outline some alternative schemes for estimating the t group proportions when r < t - 1, using only one sample. Their realizations for any sampled individual constitute two-stage schemes. The second stage is conditional on the random individual's response in the first stage. In Section 1 we briefly summarize the three existing methods. Section 2 describes the new procedures and the resulting estimators. In Section 3 we identify the new schemes as special cases of Warner's (1971) general linear randomized response model thereby obtaining alternative estimators based on modified generalized least squares method due to Zellner (1962). |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 8 van 8 gevonden artikelen
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