Showing papers on "Population proportion published in 2017"

Eliciting judgements about uncertain population means and variances

Abstract: We propose an elicitation method for quantifying an expert's opinion about an uncertain population mean and variance. The method involves eliciting judgements directly about the population mean or median, and eliciting judgements about the population proportion with a particular characteristic, as a means of inferring the expert's beliefs about the variance. The method can be used for a range of two-parameter parametric families of distributions, assuming a finite mean and variance. An illustration is given involving an expert's beliefs about the distribution of times taken to translate pages of text. The method can be implemented in R using the package SHELF.

Confidence Intervals for a Population Proportion Using Group Testing in the Presence of Misclassification

Abstract: In this study, we consider the construction of the confidence interval for the population proportion while using group testing with misclassification. We propose two confidence intervals based on Cornish-Fisher expansion and a modified Wilson's interval based on a newly developed estimator. We investigate the performance of these intervals extensively and also apply the methods to real data sets. Our newly derived methods have competitive performance compared with existing methods.

Bayesian estimation of measles vaccination coverage under ranked set sampling

Abstract: The present article is concerned with the problem of estimating an unknown population proportion p, say, of a certain population...

An efficient new randomized response model

Abstract: This paper addresses the problem of estimating the population proportion π of a sensitive group. We have suggested a randomized response (RR) model that is more efficient than the one envisaged by Gjestvang and Singh ([2006), A new randomized response model, Journal of Royal Statistcal Socity, B, (3), 523–530].

Estimating sensitive population proportion using a combination of binomial and hypergeometric randomized responses by direct and inverse mechanism

Abstract: For various reasons individuals in a sample survey may prefer not to confide to the interviewer the correct answers to...

New Bayesian Estimators for Randomized Response Technique

Abstract: This paper proposed new Bayesian estimators of the population proportion of a sensitive attribute when life data were collected through the administration of questionnaires on abortion on 300 matured women in some selected hospitals in the metropolis. Assuming both the Kumaraswamy (KUMA) and the generalised (GLS) beta distributions as alternative beta priors, efficiency of the proposed Bayesian estimators was established for a wide interval of the values of the population proportion (. We observed that for small, medium as well as large sample sizes, the developed Bayesian estimators were better in capturing responses from respondents than the conventional simple beta estimator proposed by Hussain and Shabbir (2009a) as approaches one.

Sampling and Estimation in Hidden Population Using Social Network

Abstract: Characteristics of hidden populations (e.g. population of injection drug users) cannot be studied using standard sampling and estimation procedures. This article considers methods for estimating the population proportion of hidden population using social network. We compare the sampling and estimation technique of respondent-driven sampling with the simplified sampling procedure based on Markov-chain model and discusses the equivalence of these procedures. These procedures fail to provide formulae for estimating the variances of their estimators due to the complexities of their methods. We describe a simplified sampling procedure for collecting data on both the population and its social network, and provide a simple formula to estimate the population proportion efficiently. We further derive a formula to compute an estimate of the variance of the proposed estimator using the delta method. Simulation study is provided to illustrate the new sampling and estimation method.

On the comparison of Warner's and unrelated question randomized response plans for estimating sensitive finite population proportions

Abstract: We consider the problem of estimation of a finite population proportion (P) related to a sensitive attribute under Warner's (1965) randomized response plan and the unrelated question plan due to Horvitz et al. (1967) and prove that for a given probability sampling design, given any linear unbiased estimator (LUE) of P based on Warner's (1965) plan with any given value of the plan parameter, there exists an LUE of P based on the unrelated question plan with a uniformly smaller variance for suitable choices of the plan parameters. Assuming that only the attribute is sensitive but its complement is innocuous, the same is also shown to be true when the plan parameters for the two plans are so chosen so that both offer the same specified level of privacy.

Study on the Balance of Economy and Population in China during 2000-2015

Abstract: From the perspective of long-term equilibrium, the proportion of a region’s economy and population in the country should roughly be equal. In this paper, the quotient of GDP proportion and population proportion is defined as R, whose value and characteristics of volatility accurately reflects the feature of distribution and equilibrium between economy and population. By using GIS visualization technology, this paper finds that the economic and demographic distribution in Chins is still far from matching currently, with a trend of polarization between east and west. However, from 2000 to 2015, the matching degree of economy and population at the national level is actually on the rise. This paper then divides apart the economic factor and demographic factor that cause the R value to change, and comes to a conclusion that the status between the economy and the population in most provinces is affected by economic factor to a greater extent, and the role of population factor is relatively minor.

On the comparison of Horvitz–Thompson and Murthy's sampling strategies for estimating finite population proportions in direct and randomized response surveys

Abstract: We consider the problem of unbiased estimation of a finite population proportion and compare the relative efficiency of the unequal probability sampling strategies due to Horvitz and Thompson (1952) and Murthy (1957) under a super-population model. It is shown that the model expected variance is smaller for the Murthy's (1957) strategy both when these two sampling strategies are based on data obtained from (i) a direct survey, and (ii) a randomized response (RR) survey employing some RR technique following a general RR model.