Efficient use of a two-stage randomized response procedure

Abdelfatah, Sally; Mazloum, Reda; Singh, Sarjinder

doi:10.1214/12-bjps189

Cited by 15 publications

(3 citation statements)

References 5 publications

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“…The Odumade and Singh () model quickly became popular among randomized response techniques, and it has numerous citations on Google Scholar, a few of which are as follows: Singh and Sedory (, ); Abdelfatah et al (); Arnab, Singh, and North (); C.‐S. Lee et al (, ); Su, Sedory, and Singh (); Bacanli and Tuncel (); Chen and Singh (); C.‐S.…”

Section: Odumade and Singh Way Of Utilizing Two Decksmentioning

confidence: 99%

Unrelated question model with two decks of cards

Sedory

Singh

Olanipekun

et al. 2020

Statistica Neerlandica

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Section: Odumade and Singh Way Of Utilizing Two Decksmentioning

confidence: 99%

Unrelated question model with two decks of cards

Sedory

Singh

Olanipekun

et al. 2020

Statistica Neerlandica

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“…The unrelated question RR model has one question that asks about a very sensitive trait and a second question that asks about an innocuous (or non-sensitive) trait. Many researcher's have modified Warner [16] by developing new and more efficient randomized response techniques which includes; see, for example, Bourke and Dalenius [5], Liu and Chow [10], Mangat and Singh [12], Mangat [11], Christofides [6], Kim and Warde [9], Kim and Elam [8], Odumade and Singh [13], Abdelfatah et al [4], Abdelfatah and Mazloum [1], Abdelfatah and Mazloum [2], andAbdelfatah and Mazloum [3].…”

Section: Introductionmentioning

confidence: 99%

Adaptive cluster sampling randomized response model with electronically application

Mansour¹,

Elrazik²

2020

J. Nonlinear Sci. Appl.

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It is difficult to estimate sensitive matters (e.g., addiction, drunken driving, and abortion) in population distributed over a large geographical area by conventional designs of sampling because of the social, political and security conditions that usually lead to their concentration in certain areas. An adaptive sampling scheme extending the initial sample by appropriate 'network' formations dependent on well-defined 'neighborhoods' brings about dramatic improvements exploiting the clustering tendencies of people by different places. On another hand to reduce non-response and response bias was needed to make people comfortable and to encourage truthful answers. So also we introduce a new technique to apply a randomized response by tablets, computers, mobile phones and etc. The relative efficiency and protection of the respondents of the proposed randomization device have been investigated. We illustrate our methods using real data from a survey study on the spread of the addiction phenomenon among high school students.

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“…If T = P = P 0 , the variance of the estimator

{\overset{true^}{π}}_{os}

in Equation becomes

V {({\overset{true^}{π}}_{os})}_{P = T = P_{0}} = \frac{π ((), 1 - π)}{n} + \frac{P_{0} ((), 1 - P_{0})}{2 n {(2 P_{0} - 1)}^{2}} = V {({\overset{true^}{π}}_{w})}_{q = 2},

which is the same variance obtained if each respondent was requested to use the well‐known pioneer Warner () device twice. Recent work on randomized response sampling and related literature can be had from Lee, Sedory and Singh (, ), Chaudhuri (), Chaudhuri and Christofides (), Singh and Sedory (, ), Abdelfatah, Mazloum, and Singh (), Peeters et al . (), Odumade and Singh (), Gjestvang and Singh (, 2009), Kuk (), and Mangat and Singh (), so no further review of the literature is cited.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Cramer–Rao lower bounds of variances for at least equal protection of respondents

Lee

Mondragon

et al. 2015

Statistica Neerlandica

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In this paper, a new randomized response model is proposed, which is shown to have a Cramer–Rao lower bound of variance that is lower than the Cramer–Rao lower bound of variance suggested by Singh and Sedory at equal protection or greater protection of respondents. A new measure of protection of respondents in the setup of the efficient use of two decks of cards, because of Odumade and Singh, is also suggested. The developed Cramer–Rao lower bounds of variances are compared under different situations through exact numerical illustrations. Survey data to estimate the proportion of students who have sometimes driven a vehicle after drinking alcohol and feeling over the legal limit are collected by using the proposed randomization device and then analyzed. The proposed randomized response technique is also compared with a black box technique within the same survey. A method to determine minimum sample size in randomized response sampling based on a small pilot survey is also given.

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Efficient use of a two-stage randomized response procedure

Cited by 15 publications

References 5 publications

Unrelated question model with two decks of cards

Unrelated question model with two decks of cards

Adaptive cluster sampling randomized response model with electronically application

Comparison of Cramer–Rao lower bounds of variances for at least equal protection of respondents

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