They pointed out that, ft is an unbiased for ft and is more efficient than the. This thesis is a collection of research articles on improvements in ranked set sampling rss. 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. 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. A new modi cation of ranked set sampling rss is investigated to estimate the mean of the study population.
Variance estimation in ranked set sampling using a. Estimating the population mean by using stratified double. The procedure of ranked set sampling is applied on t h esob a inm r k d mpl g c f z m, again apply the ranked set sampling procedure on. Journal of the american statistical association 87418. Regression estimator using double ranked set sampling hani m. Double sampling two phase sampling the ratio and regression methods of estimation require the knowledge of population mean of an auxiliary variable x to.
Research open access goodnessoffit testing for the. Further improving the performance of logistic regression. It is shown that this new modi cation is more e cient than of rss, mrss, and simple random sampling. Ratio estimation of the population mean in extreme ranked set and double robust extreme ranked set sampling. Furthermore, the double ranked set sampling has proven to be even more. The double ranked set sampling drss procedure can be described as follows. This modi ed approach is a double stage approach and a kind of combination between rss and median rss mrss. Median double ranked set sampling method journal of. Identify m3 units from the target population and divide these units randomly into m sets each of size m2. In this paper, percentile double ranked set sampling pdrss method is suggested for estimating the population mean. Shewhart ewma control chart based on double median ranked set sampling dmrss, for efficient monitoring of changes in process mean level. This cited by count includes citations to the following articles in scholar.
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. The sample means under qdrss for even and odd n are given below. 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. 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. 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.
Entropy is a measure of uncertainty and dispersion a ssociated with a random variable. An improved quality control chart to monitor the mean. Tawalbeh department of mathematics and statistics, college of science, sultan qaboos university, p. Robust extreme double ranked set sampling request pdf. 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. Quality control chart for the mean using double ranked set sampling. Ranked set sampling rss is an approach to data collection and analysis that continues to stimulate substantial methodological research.
Regression estimator using double ranked set sampling. Introduction the shewhart control chart for location is one of the most widely. Kernel estimators of probability density functions by rankedset sampling. The main objective of this paper is to evaluate the efficacy of double ranked set sampling method in teaching mathematics to the students. It was originally proposed in connection with estimating herbage yield in a paper by g a mcintyre ref 1.
For populations with patchy distributions that are expensive to sample, the ranked set sampling approach can lead to increased precision, decreased sampling. 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. Improved control charts for double ranked set sampling schemes are presented in 1 and 4. Also, using double sampling schemes substantially increase the relative efficiency of ratio estimators relative to their counterpart schemes of one stage samples. It is shown that this extension of rss is more efficient in estimating the.
Ewma control chart for coefficient of variation using log. Covariates creates some positive dependence among response of ranked units. Improvements in ranked set sampling athesissubmittedinpartialful. 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. Box 36, al khod 123, muscat, sultanate of oman,department of statistics, yarmouk university, irbid, jordan 21163, email.
Using ranked set sampling to select three locations. Quartile double ranked set sampling for estimating the population. The ones marked may be different from the article in the profile. The newly suggested sampling method mdrss is compare to the simple random sampling srs, rss, double ranked set sampling drss. Quality control chart for the mean using double ranked set.
It is also shown, using the concept of degree of distinguishability between. 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. Pdf quality control chart for the mean using double ranked. Moreover, dmrss is superior to other double sampling schemes for ratio estimation. Ranked set sampling for replicated sampling designs.
The double sampling method is designed to determine biomass by sampling in quadrats. On distribution function estimation using double ranked. Ranked set sampling is an alternative to simple random sampling that can sometimes offer large improvements in precision. Request pdf quartile double ranked set sampling for estimating the. On the mean estimation using stratified double median ranked. 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. 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. Several goodnessoffit tests based on entropy are available in literatur e and the entropy been widely used in many applications.
This rss method has proved to be more efficient than the usual simple random sampling srs for. Methods for obtaining ranked set samples are described and the structural differences between ranked set samples and simple random samples are discussed. Stratified double median ranked set sampling referring to section 2. 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. To explain the method, the following example with two strata is. 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.
In this article, we suggested new sampling method called median double ranked set sampling mdrss. An improved combined shewhart ewma chart based on double. Jun 15, 2000 as a variation of ranked set sampling rss, double ranked set sampling technique drss is introduced and investigated. Ratio estimation of the population mean in extreme ranked set. An improved quality control chart to monitor the mean based. It is shown that this extension of rss is more efficient in estimating the population mean than both rss and simple random sampling srs. 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. 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. As a variation of ranked set sampling rss, doubleranked set sampling technique drss is introduced and investigated. This paper is intended to provide the reader with an introduction to ranked set sampling, a statistical technique for data collection that generally leads to more efficient estimators than competitors based on simple random samples. The proposed control chart is illustrated with a real data set.
On distribution function estimation using double ranked set. Percentile double ranked set sampling semantic scholar. The results indicate that when the process starts to get out of control, the chart based on ranked set sampling reduces the run. The most basic sampling technique to use, when collecting data from a population for a sample survey, is that of simple random sampling srs. Cauchy, double exponential and normal distributions are applied to investigate the performance of sign control chart based on studied sampling schemes. 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. 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. As a wellknown method for selecting representative samples of populations, ranked set sampling rss has been considered increasingly in recent years.
Pdf robust extreme double ranked set sampling mir hamed. Ranked set sampling technique was first introduced by mcintyre 1952. This modi ed approach is a doublestage approach and a kind of combination between rss and median rss mrss. The critical values of the new tests are obtained using monte carlo simulations. On the mean estimation using stratified double median. The procedure consists of drawing m random samples, each of size m, from the population. For dichotomous or ordinal dependent variables, logistic regression models as one of the generalized linear models have been intensively applied in several fields. Double ranked set sampling request pdf researchgate. Pdf robust extreme double ranked set sampling mir hamed hashemi majd academia. In this case, the ranked set sample observations are also the respective order statistics. 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. Investigating the use of stratified percentile ranked set sampling. Sampling solutions s167 solutions to optional problems s16.
Nonparametric twosample procedures for ranked set samples data. 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. Guidance on choosing a sampling design for environmental. Ranked set sampling rss is one traditional method that is mostly used for accomplishing observational economy. 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. When the underlying distribution is symmetric, it turns out that pdrss produce unbiased estimators.
The sderss is compared with the simple random sampling srs, stratified ranked set sampling srss and stratified simple set sampling ssrs. On distribution function estimation using double ranked set 444 section 2. As a variation of ranked set sampling rss, doubleranked set sampling. These covariates partitions the population into several strata. Improved control charts for doubleranked set sampling schemes are presented in 1 and 4. There are 2n2 items and i want to randomly divide them into two equal sized groups with n2 items in each group. Improvement in estimating the population mean in double. As a variation of ranked set sampling rss, double ranked set sampling technique drss is introduced and investigated. 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. Ranked set sampling with sizebiased probability of selection. Pdf median double ranked set sampling method researchgate.
It is shown that, the derss estimators are approximately unbiased of the population mean. Shewhart ewma control chart based on double median ranked set sampling dmrss, for efficient monitoring of changes in process. Stratified percentile ranked set sampling sprss method is suggested for estimating the. Investigating the efficiency of teaching mathematics to. Guidance on choosing a sampling design for environmental data collection.
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. In this paper, modified ratio estimators of the population mean are suggested using double extreme ranked set sampling derss method. Stratified double extreme ranked set sampling sderss method is introduced and considered for estimating the population mean. I am trying to program a ranked set sampling using r. When the underlying distribution is symmetric, it turns out that pdrss produce unbiased. 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. Percentile double ranked set sampling science publications. Depending on the objectives of the study, the double sampling method can be used to describe any biomass property. Rankedset sampling rss is an alternative probability sampling technique to srs. 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. 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.
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