• Title/Summary/Keyword: Randomized response model

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On a Modification of Warner's Randomized Response Model (Warner의 확률화 응답모형의 한 변형에 관하여)

  • Kim, Hyeok-Ju
    • Journal of Korean Society for Quality Management
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    • v.16 no.1
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    • pp.49-58
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    • 1988
  • When a question in a sample survey is sensitive or highly personal, respondents may prefer not to give truthful answers. To eliminate the resulting evasive answer bias Warner suggested a randomized response model. In this paper, a modification of Warner's method is presented and compared with Warner's method. The relation between this modified method and an unrelated question method is also discussed.

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A new two-state randomized response model (새로운 2단계 확률화응답모형)

  • 김종호;류제복;이기성
    • The Korean Journal of Applied Statistics
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    • v.5 no.2
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    • pp.157-167
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    • 1992
  • This paper presents a new two-stage randomized response model to protect greater privacy of respondents for the sensitive characters. The conditions when the proposed model will be more efficient than Warner model, Liu-Chow's multiple trial model and Mangat-Singh model have been obtained for the case when the respondents are truthful in their answer, and the efficiency of the proposed model is also compared with Warner model, Liu-Chow's multiple trial model and Mangat-Singh model.

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A Stratified Mixed Multiplicative Quantitative Randomize Response Model (층화 혼합 승법 양적속성 확률화응답모형)

  • Lee, Gi-Sung;Hong, Ki-Hak;Son, Chang-Kyoon
    • Journal of the Korean Data Analysis Society
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    • v.20 no.6
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    • pp.2895-2905
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    • 2018
  • We present a mixed multiplicative quantitative randomized response model which added a unrelated quantitative attribute and forced answer to the multiplicative model suggested by Bar-Lev et al. (2004). We also try to set up theoretical grounds for estimating sensitive quantitative attribute according to circumstances whether or not the information for unrelated quantitative attribute is known. We also extend it into the stratified mixed multiplicative quantitative randomized response model for stratified population along with two allocation methods, proportional and optimum allocation. We can see that the various quantitative randomized response models such as Eichhorn-Hayre's model (1983), Bar-Lev et al.'s model (2004), Gjestvang-Singh's model (2007) and Lee's model (2016a), are one of the special occasions of the suggested model. Finally, We compare the efficiency of our suggested model with Bar-Lev et al.'s (2004) and see that the bigger the value of $C_z$, the more the efficiency of the suggested model is obtained.

A multiplicative unrelated quantitative randomized response model (승법 무관양적속성 확률화응답모형)

  • Lee, Gi-Sung
    • The Korean Journal of Applied Statistics
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    • v.29 no.5
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    • pp.897-906
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    • 2016
  • We augment an unrelated quantitative attribute to Bar-Lev et al.'s model (2004) which is composed of sensitive quantitative variable and scrambled one to present a multiplicative unrelated quantitative randomized response model(MUQ RRM). We also establish theoretical grounds to estimate the sensitive quantitative attribute according to circumstances irrespective of known or unknown unrelated quantitative attribute. Finally, we explore the relationship among the suggested model, Eichhorn-Hayre model, Bar-Lev et al.'s model and Gjestvang-Singh's model, and compare the efficiency of our model with Bar-Lev et al.'s model.

Markov Chain Monte Carol estimation in Two Successive Occasion Sampling with Radomized Response Model

  • Lee, Kay-O
    • Communications for Statistical Applications and Methods
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    • v.7 no.1
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    • pp.211-224
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    • 2000
  • The Bayes estimation of the proportion in successive occasions sampling with randomized response model is discussed by means of Acceptance Rejection sampling. Bayesian estimation of transition probabilities in two successive occasions is suggested via Markov Chain Monte Carlo algorithm and its applicability is represented in a numerical example.

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The Calibration for Stratified Randomized Response Estimators

  • Son, Chang-Kyoon;Hong, Ki-Hak;Lee, Gi-Sung;Kim, Jong-Min
    • Communications for Statistical Applications and Methods
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    • v.15 no.4
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    • pp.597-603
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    • 2008
  • In this paper, we propose the calibration procedure for the valiance reduction of the stratified Warner's randomized response estimators, which suggested by Hong et al. (1994) and Kim and Warde (2004), using auxiliary information at the population level. It is shown that the proposed calibration estimators are more efficient than the ordinary Warner's estimators.

An Additive Stratified Quantitative Attribute Randomized Response Model (층화 가법 양적속성 확률화응답모형)

  • Lee, Gi-Sung;Ahn, Seung-Chul;Hong, Ki-Hak;Son, Chang-Kyoon
    • The Korean Journal of Applied Statistics
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    • v.27 no.2
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    • pp.239-247
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    • 2014
  • For a sensitive survey in which the population is composed by several strata with quantitative attributes, we present an additive stratified quantitative attribute randomized response model which applied stratified random sampling instead of simple random sampling to the models of Himmelfarb-Edgell's additive quantitative attribute model and Gjestvang-Singh's. We also establish theoretical grounds to estimate the stratum mean of sensitive quantitative attributes as well as the over all mean. We deal with the proportional and optimal allocation problems in each suggested model and compare the relative efficiency of the suggested two models; subsequently, Himmelfarb-Edgell's model is more efficient than Gjestvang-Singh's model under the condition of stratified random sampling.

A Mixed Model for Oredered Response Categories

  • Choi, Jae-Sung
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.2
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    • pp.339-345
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    • 2004
  • This paper deals with a mixed logit model for ordered polytomous data. There are two types of factors affecting the response varable in this paper. One is a fixed factor with finite quantitative levels and the other is a random factor coming from an experimental structure such as a randomized complete block design. It is discussed how to set up the model for analyzing ordered polytomous data and illustrated how to estimate the paramers in the given model.

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The Three-Stage Cluster Randomized Response Model for Obtaining Sensitive Information

  • Lee, Gi Sung;Hong, Ki Hak;Son, Chang Kyoon;Jung, Young Mee
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.247-256
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    • 2003
  • In this study, we systemize the theoretical validity for applying RRM to three-stage cluster sampling method and derive the estimate and it's variance of sensitive parameter. We derive the minimum variance form under the optimal values of the subsample sizes when the costs are fixed. Under the some given precision, we obtain the optimal values of the subsample sizes and derive the minimum cost form by using them. We apply the three-stage cluster RRM to field survey and suggest some necessary points for practical use.

A Combined Randomized Response Technique Using Stratified Two-Phase Sampling (층화이중추출을 이용한 결합 확률화응답기법)

  • 홍기학
    • The Korean Journal of Applied Statistics
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    • v.17 no.2
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    • pp.303-310
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    • 2004
  • We suggest a method to procure information from the sensitive population which combine a direct survey method, BB and an indirect survey one, RRT, and a combined estimator that uses the stratified double sampling to estimate the sensitive parameter. We compare the efficiency of our estimator with that of Mangat and Singh model.