Advanced SearchSearch Tips
An Additive Quantitative Randomized Response Model by Cluster Sampling
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
An Additive Quantitative Randomized Response Model by Cluster Sampling
Lee, Gi-Sung;
  PDF(new window)
For a sensitive survey in which the population is comprised of several clusters with a quantitative attribute, we present an additive quantitative randomized response model by cluster sampling that adapts a two-stage cluster sampling instead of a simple random sample based on Himmelfarb-Edgell`s additive quantitative attribute model and Gjestvang-Singh`s one. We also derive optimum values for the number of 1st stage clusters and the optimum values of observation units in a 2nd stage cluster under the condition of minimizing the variance given constant cost. We can see that Himmelfarb-Edgell`s model is more efficient than Gjestvang-Singh`s model under the condition of cluster sampling.
Additive randomized response model;quantitative attribute;cluster sampling;efficiency;
 Cited by
Ahn, S. C. and Lee, G. S. (2002). The best choice of subsample size for the two-stage cluster unrelated question technique, Journal of The Korean Data Analysis Society, 4(4B), 397-407.

Eichhorn, B. H. and Hayre, L. S. (1983). Scrambled randomized response methods for obtaining sensitive quantitative data, Journal of Statistical Planning and Inference, 7, 307-316. crossref(new window)

Gjestvang, C. R. and Singh, S. (2009). An improved randomized response model: Estimation of mean, Journal of Applied Statistics, 36, 1361-1367. crossref(new window)

Himmelfarb, S. and Edgell, S. E. (1980). Additive constant model: A randomized response technique for eliminating evasiveness to quantitative response questions, Psychological Bulletin, 87, 525-530. crossref(new window)

Lee, G. S. (2006). A study on the randomized response technique by PPS sampling, The Korean Journal of Applied Statistics, 19, 69-80. crossref(new window)

Lee, G. S. and Hong, K. H. (2003). Unrelated question model with quantitative attribute by three-stage cluster sampling, Journal of The Korean Data Analysis Society, 5(1B), 85-99.

Lee, G. S., Ryu, J. B., Hong, K. H. and Son, C. K. (2007). A study on two-stage cluster Mangat-Singh model, Journal of The Korean Data Analysis Society, 9(4B), 1801-1810.

Warner, S. L. (1965). Randomized response; A survey technique for eliminating Evasive Answer Bias, Journal of the American Statistical Association, 60, 63-69. crossref(new window)