The ones marked may be different from the article in the profile. To understand what makes the ranked set sample rss different from a simple random sample srs of the same size, we consider the simple case of a single cycle m 7. The double ranked set sampling drss procedure can be described as follows. The sderss is compared with the simple random sampling srs, stratified ranked set sampling srss and stratified simple set sampling ssrs. The critical values of the new tests are obtained using monte carlo simulations. Regression estimator using double ranked set sampling. The pdrss method is compared with the simple random sampling srs, ranked set sampling rss, median ranked set sampling mrss and the extreme ranked set sampling erss methods. Box 36, al khod 123, muscat, sultanate of oman,department of statistics, yarmouk university, irbid, jordan 21163, email. Rankedset sampling rss is an alternative probability sampling technique to srs. Ranked set sampling with sizebiased probability of selection. An improved quality control chart to monitor the mean. Sampling solutions s167 solutions to optional problems s16.
Epa qag5s i december 2002 foreword this document, guidance for choosing a sampling design for environmental data collection epa qag5s, will provide assistance in developing an effective qa project plan as. Kernel estimators of probability density functions by rankedset sampling. Double sampling two phase sampling the ratio and regression methods of estimation require the knowledge of population mean of an auxiliary variable x to. It can be applied to a wide variety of vegetation types, particularly grasslands and shrublands, but becomes more complicated in vegetation with a diverse array of. Ratio estimation of the population mean in extreme ranked set. On distribution function estimation using double ranked.
Pdf quality control chart for the mean using double ranked. Tawalbeh department of mathematics and statistics, college of science, sultan qaboos university, p. Quality control chart for the mean using double ranked set sampling. Nonparametric twosample procedures for ranked set samples data. It has spawned a number of related methodologies that are active research arenas as well, and it is finally beginning to find its way into significant applications beyond its initial agriculturalbased birth in the seminal paper by mcintyre 1952. This cited by count includes citations to the following articles in scholar. For dichotomous or ordinal dependent variables, logistic regression models as one of the generalized linear models have been intensively applied in several fields. It is shown that this extension of rss is more efficient in estimating the.
Ranked set sampling rss is an approach to data collection and analysis that continues to stimulate substantial methodological research. Stratified percentile ranked set sampling sprss method is suggested for estimating the. Quality control chart for the mean using double ranked set. Pdf robust extreme double ranked set sampling mir hamed. These covariates partitions the population into several strata.
Ranked set sampling is an alternative to simple random sampling that can sometimes offer large improvements in precision. The newly suggested sampling method mdrss is compare to the simple random sampling srs, rss, double ranked set sampling drss, median ranked set sampling mrss. On the mean estimation using stratified double median ranked. It is shown that, the derss estimators are approximately unbiased of the population mean. Moreover, dmrss is superior to other double sampling schemes for ratio estimation. Entropy is a measure of uncertainty and dispersion a ssociated with a random variable. Improvement in estimating the population mean in double. It was originally proposed in connection with estimating herbage yield in a paper by g a mcintyre ref 1. To collect a balanced ranked set sample using set size k, one first draws a sample of size k2 and then divides it into k samples of size k and ranks. In this paper, percentile double ranked set sampling pdrss method is suggested for estimating the population mean.
This modi ed approach is a double stage approach and a kind of combination between rss and median rss mrss. Identify m3 units from the target population and divide these units randomly into m sets each of size m2. Ranked set sampling for replicated sampling designs. On distribution function estimation using double ranked set. The newly suggested sampling method mdrss is compare to the simple random sampling srs, rss, double ranked set sampling drss. Quartile double ranked set sampling for estimating the population. Then i want to use a ranked set sampling from each of these groups to form n rss blocks with n items in each rss block.
The results indicate that when the process starts to get out of control, the chart based on ranked set sampling reduces the run. On distribution function estimation using double ranked set 444 section 2. It is shown that this extension of rss is more efficient in estimating the population mean than both rss and simple random sampling srs. This rss method has proved to be more efficient than the usual simple random sampling srs for. I am trying to program a ranked set sampling using r. In this paper, an attempt is made to develop quality control charts for monitoring the process mean based on double ranked set sampling drss rather than the traditional simple random sampling srs. Percentile double ranked set sampling science publications. Sep 15, 2012 goodnessoffit test for the inverse gaussian distribution is studied based on new entropy estimation using simple random sampling srs, ranked set sampling rss and double ranked set sampling drss methods. Pdf robust extreme double ranked set sampling mir hamed hashemi majd academia. Select the smallest ranked unit from the first set, th e second smallest ranked unit f rom the second set and so on, until the largest ranked unit is selected from the last set.
Stratified double median ranked set sampling referring to section 2. Ranked set sampling technique was first introduced by mcintyre 1952. To explain the method, the following example with two strata is. The performance of the proposed mean estimator is compared to its competitors in simple random sampling, double ranked set sampling, extreme paired double ranked set sampling and paired double. The most basic sampling technique to use, when collecting data from a population for a sample survey, is that of simple random sampling srs.
As a variation of ranked set sampling rss, double ranked set sampling technique drss is introduced and investigated. It is shown that this new modi cation is more e cient than of rss, mrss, and simple random sampling. In this paper, ranked set sampling rss, median ranked set sampling mrss and double median ranked set sampling dmrss methods are used for estimating the population mean based on a modified. In this article, we suggested new sampling method called median double ranked set sampling mdrss. Request pdf quartile double ranked set sampling for estimating the. Research open access goodnessoffit testing for the. In this case, the ranked set sample observations are also the respective order statistics.
This modi ed approach is a doublestage approach and a kind of combination between rss and median rss mrss. Guidance on choosing a sampling design for environmental. Goodnessoffit test for the inverse gaussian distribution is studied based on new entropy estimation using simple random sampling srs, ranked set sampling rss and double ranked set sampling drss methods. It is also shown, using the concept of degree of distinguishability between. The notion of ranked set sampling for estimating the mean of a population and its advantage over the use of a simple random sampling for the sampling is established in the literature. Variance estimation in ranked set sampling using a. Covariates creates some positive dependence among response of ranked units.
Improved quality control charts for monitoring the process mean, using double ranked set sampling methods ai alomari, a haq journal of applied statistics 39 4, 745763, 2012. An improved quality control chart to monitor the mean based. Ranked set sampling rss is one traditional method that is mostly used for accomplishing observational economy. Methods for obtaining ranked set samples are described and the structural differences between ranked set samples and simple random samples are discussed.
Journal of the american statistical association 87418. The procedure consists of drawing m random samples, each of size m, from the population. As a variation of ranked set sampling rss, doubleranked set sampling technique drss is introduced and investigated. For populations with patchy distributions that are expensive to sample, the ranked set sampling approach can lead to increased precision, decreased sampling. Several goodnessoffit tests based on entropy are available in literatur e and the entropy been widely used in many applications. They pointed out that, ft is an unbiased for ft and is more efficient than the. Estimating the population mean by using stratified double. Introduction the shewhart control chart for location is one of the most widely. Goodnessoffit testing for the inverse gaussian distribution based on new entropy estimation using ranked set sampling and double ranked set sampling, environmental systems research, 2012, pp.
Ratio estimation of the population mean in extreme ranked set and double robust extreme ranked set sampling. Cauchy, double exponential and normal distributions are applied to investigate the performance of sign control chart based on studied sampling schemes. Investigating the efficiency of teaching mathematics to. Ewma control chart for coefficient of variation using log. Double ranked set sampling request pdf researchgate. As a wellknown method for selecting representative samples of populations, ranked set sampling rss has been considered increasingly in recent years. This thesis is a collection of research articles on improvements in ranked set sampling rss. Furthermore, the double ranked set sampling has proven to be even more. In this paper, modified ratio estimators of the population mean are suggested using double extreme ranked set sampling derss method. Further improving the performance of logistic regression.
Ranked set sampling rss, proposed by mcintyre 1952, 2005, is a sampling strategy which uses ranking information to give more efficient statistical inference than simple random sampling srs. On the mean estimation using stratified double median. Probability sampling is any sampling scheme in which the probability of choosing each individual is the same or at least known, so it can be readjusted mathematically. We proposed a more powerful performance of logistic regression model analysis when a modified extreme ranked set sampling modified erss is used and further improved the performance when a modified double extreme. As a variation of ranked set sampling rss, doubleranked set sampling. Median double ranked set sampling method journal of. Using ranked set sampling to select three locations. The numerical performances of the proposed scheme were evaluated in terms of the average run length arl, standard deviation of run length, the average ratio arl and average extra quadratic loss. Double sampling two phase sampling the ratio and regression methods of estimation require the knowledge of population mean of an auxiliary variable x to estimate the population mean of study variable. Also, using double sampling schemes substantially increase the relative efficiency of ratio estimators relative to their counterpart schemes of one stage samples.
Robust extreme double ranked set sampling request pdf. The newly suggested estimators are compared with their counterparts suggested by singh and tailor 2003 using simple random sampling srs, and with extreme ranked set sampling erss methods. Improvements in ranked set sampling athesissubmittedinpartialful. An improved combined shewhart ewma chart based on double.
The main objective of this paper is to evaluate the efficacy of double ranked set sampling method in teaching mathematics to the students. When the underlying distribution is symmetric, it turns out that pdrss produce unbiased estimators. Shewhart ewma control chart based on double median ranked set sampling dmrss, for efficient monitoring of changes in process. Jun 15, 2000 as a variation of ranked set sampling rss, double ranked set sampling technique drss is introduced and investigated. This class of sampling designs is characterized by the initial selection and ranking of k3 instead of k2 sample units to draw a sample of size k after two ranking cycles. The proposed control chart is illustrated with a real data set. A new modi cation of ranked set sampling rss is investigated to estimate the mean of the study population. The double sampling method is designed to determine biomass by sampling in quadrats.
Shewhart ewma control chart based on double median ranked set sampling dmrss, for efficient monitoring of changes in process mean level. In order to have a more efficient estimate of the population mean, a new sampling scheme called as robust extreme double ranked set sampling redrss is introduced and investigated in this paper. Improved control charts for double ranked set sampling schemes are presented in 1 and 4. The coefficient of variation is a variability measure used in manufacturing industries when the process mean fluctuates with time and process standard deviation is a linear function of process mean. Pdf median double ranked set sampling method researchgate. Stratified double extreme ranked set sampling sderss method is introduced and considered for estimating the population mean.
Investigating the use of stratified percentile ranked set sampling. There are 2n2 items and i want to randomly divide them into two equal sized groups with n2 items in each group. When the underlying distribution is symmetric, it turns out that pdrss produce unbiased. Depending on the objectives of the study, the double sampling method can be used to describe any biomass property. In this paper, we proposed an exponential weighted moving coefficient of variation control chart by using three parametric lognormal transformations under ranked set sampling with different sample. In this paper, an attempt is made to develop quality control charts for monitoring the process mean based on double ranked set sampling drss rather than the traditional simple random sampling sr. The sample means under qdrss for even and odd n are given below. The method, known as ranked set sampling rss, does this by using initial, rough but cheap information to obtain a representative sample before the real, more expensive sampling is done. Guidance on choosing a sampling design for environmental data collection. This technique of sampling is proper to use when the observer faces difficulty in measuring a large number of sampling units, but visual ranking for a few of them is not difficult.
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