Para iwor 2017 SAHA´S RANDOMIZED RESPONSE TECHNIQUE UNDER RANKED SET SAMPLING (original) (raw)
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SAHA´S RANDOMIZED RESPONSE TECHNIQUE UNDER RANKED SET SAMPLING
We will study the use of Ranked Set Sampling (RSS) as alternative to SRSWR design when Saha´s RR is implemented. Estimators of the mean are derived under 3 alternative ranking criteria. The expected variances are obtained and used for comparing their accuracy. The RSS alternatives are superior in terms of having a smaller sampling error than the SRSWR design.. RESUMEN Estudiaremos el uso de RSS como una alternativa al diseño SRSWR cuando es usado el método de respuestas aleatorizadas de Saha. Estimadores de la media son derivados bajo 3 criterios 3 alternativos de rankeo. Las varianzas esperadas son obtenidas y se utilizan para copara su exactitud. Las alternativas RSS son superiores en términos de poseer menores error de muestreo que el diseño SRSWR.
THE RANDOMIZED RESPONSE PROCEDURE OF HUANG : A RANKED SET SAMPLING LOOK
ABSTRACT. In this paper we extend the scrambled response method of Huang et al (2010) to the case in which Ranked Set Sample is used. The superiority of this method is derived in terms of the diminution in the variance . The auxiliary variable is used for ranking. KEYWORDS: Warner randomized response, scrambling, ranked set sampling gain in accuracy MSC: 62D05 RESUMEN
In this paper we extend the scrambled response method of Huang et al (2010) to the case in which Ranked Set Sample is used. The superiority of this method is derived in terms of the diminution in the variance. The auxiliary variable is used for ranking. KEYWORDS: Warner randomized response, scrambling, ranked set sampling gain in accuracy MSC: 62D05 RESUMEN En este trabajo extendemos el métodos del enmascaramiento de Huang et al (2010) al caso en que se utiliza el muestreo por rangos ordenados. La superioridad de este método es derivada en términos de la disminución de la varianza. La variable auxiliar es usada para ordenar.
REVIEW OF RANKED SET SAMPLING: MODIFICATIONS AND APPLICATIONS
The problem of estimating the population mean is considered by . A new sampling method is suggested, namely; ranked set sampling (RSS) as efficient method compared to the well known simple random sampling (SRS) method. In the last years many authors suggested different modifications of the RSS and used it in wide applications. In this paper, a literature review of the RSS method is presented as well as some its modifications and applications are provided.
RANKED SET SAMPLING AND OPTIONAL SCRAMBLING RANDOMIZED RESPONSE MODELING
Ranked Set Sampling (RSS) strategies when an Optional in Scrambling Randomized Response Modeling procedure is used, are derived. In this paper are obtained Ranked Set Sampling models for estimating unbiasedly the mean, the variance of the sensitive variable as well as of its sensitivity level W. The scrambled response modeling of Mehta et al (2012) or Huang (2010) are used. MSC: 62D05 RESUMEN Estrategias Ranked Set Sampling (RSS) cuando es usado el llamado procedimiento " Optional in Scrambling Randomized Response Modeling " , son derivadas. En este paper se obtienen modelos RSS para estimar insesgadamente la media, la varianza de la variable sensitiva, así como del nivel de sensibilidad W. El modelo de enmascaramiento de Mehta et al (2012) o Huang (2010) son usados.
This paper analyses the use of ranked set sampling procedures for obtaining the sub-sample from the set of nonrespondents. The first visit may serve for ranking accurately the sub-sampled non-respondents. The usual ranked set sample (rss) design and two variations of it : extreme-rss and median-rss are used for developing estimators of the population mean. Their expected variances and biases are obtained. A Monte Carlo experiment is developed for evaluating the behavior of the estimators. The use of rss appears as the best alternative.
On regression analysis using modified bivariate ranked set sampling design (BVRSS
Research on several forms of ranked set samples had been done by many researchers recently for estimating the population mean and other parameters. The results have ascertained that the ranked set samples are proven to be more efficient than the simple random samples in many situations. In this paper, modified bivariate ranked set sample (MBVRSS) was introduced to estimate a simple linear regression model when the regressors were assumed to be random. A primary data was collected on age and height in meter of 200 people from Ijebu-North Local Government Area of Ogun State. It is then shown that MBVRSS gives unbiased and highly efficient estimators of the regression model parameters, than those obtained by using bivariate simple random sampling (BVSRS), RSS or BVRSS using the same number of sample size.
Randomized estimation a proportion using Ranked Set Sampling and Warner`s procedure
Ranked set sampling is considered as a design for selecting a simple from a finite population. Generally it performs better than simple random sampling. Chen et al (2006) proposed a procedure for ranking categorical variables. This paper is concerned with the study of a sensitive variable. The randomized responses procedure due to Warner (1965) is used for eliminating answer biases. The variance of the proposed estimator is derived and it is larger than the proposal of Chen et al (2006). A study of the quality of the environment is developed. Direct responses and randomized responses estimators are compared. Ranking procedures used information provided by measurements of the contaminants in the air and the water.