Analyzing Hybrid Randomized Response Data with a Binomial Selection Procedure

The operating characteristics (OCs) of an indifference-zone ranking and selection procedure are derived for randomized response binomial data. The OCs include tables and figures to facilitate tradeoffs between sample size and a stated probability of a correct selection, i.e., correctly identifying the binomial population (out of k ≥ 2) characterized by the largest probability of success. Measures of efficiency are provided to assist the analyst in selection of an appropriate randomized response design for the collection of the data. A hybrid randomized response model, which includes the Warner model and the Greenberg et al. model, is introduced to facilitate comparisons among a wider range of statistical designs than previously available. An example comparing failure rates of contraceptive methods is used to illustrate the use of these new results.     

Skewness-Kurtosis Bounds for EGB1, EGB2, and Special Cases

An examination of the theoretical moments of a probability density function provides useful information about the flexibility of alternative distributions. Johnson and Kotz (1970), among others, consider skewness-kurtosis plots to illustratve the ability of various probability density functions to model diverse distributional characteristics. This article investigates the skewness-kurtosis plots of the exponential generalized beta of the first and second kind and some important special cases which have been used in various applications in economics, statistics, and finance.