Ravindra Singh

Some alternative strategies to Moors’ model in randomized response sampling

Abstract In this paper, it is shown that the optimality condition advocated by Moors (1971, J. Amer. Statist. Assoc. 66, 627–629) for Greenberg et al. (1969, J. Amer. Statist. Assoc. 64, 520–539) randomized response (RR) model is not desirable in the sense that it jeopardizes the privacy of response for a group of respondents which is against the main objective of RR survey technique. Two modifications of Moors’ model are proposed which do not suffer from the above serious drawback. An empirical investigation has also been carried out to examine the relative efficiency aspect of one of the two proposed strategies.

An Improved Unrelated Question Randomized Response Strategy

We consider the problem of estimating π the proportion of human population belonging to the sensitive category. A new randomized response procedure using known πr (the proportion of population possessing a non-stigmatized attribute) bas been proposed. The proposed strategy provides unbiased and more efficient estimator of π than the one based on Greenberg et al.s (1969) usual unrelated question randomized response model with known πr

An improved two stage randomized response strategy

Mangat and Singh (1990) have suggested a two stage randomized response technique to estimate the proportion of population possessing a sensitive attribute. The procedure was shown to be more efficient than the procedure due to Warner (1965). Recently, Tracy and Osahan (1993) have suggested a modification to the Mangat and Singh (1990) procedure which results in a more efficient strategy in practice. In this paper we propose a modification to the Tracy and Osahan (1993) procedure. The modified procedure is a generalization of Tracy and Osahan (1993) and is always more efficient than their strategy. An empirical study has also been undertaken to find the extent of relative efficiency.

Generalized franklin's model for randomized response sampling

In this paper we introduce two estimators of a population proportion when randomized response sampling with a normal randomizing distribution is used* The estimators have been obtained by using the method of moments. Both of the proposed estimators are shown to be more efficient than the corresponding estimators of Eranklin (1989 b).

Multi-character survery using randomized response technique

In the present paper, we have consisdered the situation of multi–character survey where the study variables, beside being poorly correlated with the selection probabilities are also sensitive in nature. Randomized Response technique (RRT) proposed by Chaudhuri and Adhikary (1990) is used to elicit the information on the sensitive character. The empirical study carried out shows the relative efficiency of the transformation suggested by Basnel and Singh (1985) over the transformations suggested by Rao (1966) and Amahia et al.(1989) under a super population model.

Optimum stratification in sampling with varying probabilities

SummaryThe paper considers the problem of optimum stratification on an auxiliary variablex when the units from the different strate are selected with probability proportional to the value of the auxiliary variable. Under a super-population set-up assuming the form, of the regression of the estimation variabley on the auxiliary variablex as also the form of the variance functionV(y/x), minimal equations giving optimum strata boundaries have been obtained for the Neyman allocation method. As the minimal equations cannot be solved easily, methods to find approximate solutions have been given. A numerical illustration has also been given to study the effect of optimum stratification.

Optimum stratification for equal allocation

SummaryThe problem of optimum stratification on the auxiliary variablex for equal allocation has been considered. A cum

An alternative estimator for multiple characteristics in rhg sampling scheme

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