Joint monitoring of mean and variance under double ranked set sampling using likelihood ratio test statistic
TL;DR: In this article, an attempt is made to develop a new control chart that integrates the exponentially weighted moving average (AWA) with the quality control chart, which is used as a process monitoring tool.
Abstract: Quality control charts are widely used as a process monitoring tool. In this article, an attempt is made to develop a new control chart that integrates the exponentially weighted moving average pro...
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TL;DR: In this paper, a control chart is used to monitor longitudinal measurements of a quality characteristic and detect undesirable causes of variability, such as measurement error may exist and deteriorate the quality characteristic.
Abstract: A control chart is used to monitor longitudinal measurements of a quality characteristic and detects undesirable causes of variability. In practice, measurement error may exist and deteriorate the ...
5 citations
TL;DR: In this article , a detailed review paper for simultaneous monitoring is conducted in 2013 which many reaserchers were attracted to publish papers in this field, and a meticulous content analysis (on the basis of 59 reviewed papers in the field of joint monitoring from 2013 to 2021) is exploited to classify the papers that includes joint control charts for statistical process monitoring (SPM), to identify the potential topics and present some suggestions for further studies in simultaneous monitoring.
Abstract: Process monitoring is regarded as a continuous phenomenon requiring careful consideration to acquire an enhanced output quality. Dispersion and location are significant parameters in the entire process, and timely detection of the changes that occur in a stable process is needed. Today, quality practitioners recommend using a single charting setup offering better capability of detecting joint changes in the parameters of a process. As provided in the literature, a detailed review paper for simultaneous monitoring is conducted in 2013 which many reaserchers were attracted to publish papers in this field. In this paper, a meticulous content analysis (on the basis of 59 reviewed papers in the field of joint monitoring from 2013 to 2021) is exploited to classify the papers that includes joint control charts for statistical process monitoring (SPM), to identify the potential topics and present some suggestions for further studies in simultaneous monitoring.
4 citations
TL;DR: A literature review on using Ranked Set Sampling (RSS) schemes in designing control charts can be found in this article , where the authors classified and analyzed the research gaps and provided recommendations and directions for future studies.
Abstract: Statistical process monitoring (SPM) and designing control charts include measuring quality characteristics by considering the time and cost constraints. Ranked set sampling (RSS) is a very efficient and an inexpensive approach in obtaining a more representative sample when the actual measurement of the sampling units is too expensive or destructive, where it is easier to rank the observations. Since 1997, when the first paper on designing control charts based on the RSS scheme was presented, a significant number of papers have been published in this area. This paper provides a literature review on using the RSS schemes in designing control charts. Relevant papers are classified and analyzed to identify the research gaps and provide recommendations and directions for future studies.
1 citations
TL;DR: In this paper, the authors proposed a maximum exponentially weighted moving average (MEWA) algorithm for the normal process mean and dispersion monitoring, which can be used to simultaneously monitor the process dispersion and mean.
Abstract: Simultaneously monitoring of process mean and dispersion for the normal process has gained considerable attention. In this manuscript, we have proposed a maximum exponentially weighted moving avera...
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Journal Article•
TL;DR: The recognition that an EWMA control scheme can be represented as a Markov chain allows its properties to be evaluated more easily and completely than has previously been done.
1,624 citations
TL;DR: The application of the ranked sample method to pasture measurement is discussed and the means of such a sample is slightly less than (n + 1)/2 times more efficient than the mean of n items taken at random.
Abstract: A new method of sampling is described Take the largest in the first of n sets, each of n random items, the second largest in the second set, and so on to the smallest in the nth set The sample of n items selected in this way is an unbiased sample of the population For typical unimodal distributions the mean of such a sample is slightly less than (n + 1)/2 times more efficient than the mean of n items taken at random The application of the ranked sample method to pasture measurement is discussed
1,158 citations
Book•
05 Jun 2009
TL;DR: This volume presents in detail the fundamental theories of linear regression analysis and diagnosis, as well as the relevant statistical computing techniques so that readers are able to actually model the data using the methods and techniques described in the book.
Abstract: This volume presents in detail the fundamental theories of linear regression analysis and diagnosis, as well as the relevant statistical computing techniques so that readers are able to actually model the data using the methods and techniques described in the book. It covers the fundamental theories in linear regression analysis and is extremely useful for future research in this area. The examples of regression analysis using the Statistical Application System (SAS) are also included. This book is suitable for graduate students who are either majoring in statistics/biostatistics or using linear regression analysis substantially in their subject fields. Introduction Simple Linear Regression Multiple Linear Regression Detection of Outliers and Influential Observations in Multiple Linear Regression Model Selection Model Diagnostics Extensions of Least Squares Generalized Linear Models Bayesian Linear Regression
609 citations
TL;DR: A new EWMA chart is proposed which effectively combines the usual two EWMA charts into one chart and has the property that it is effective in detecting both increases and decreases in mean and/or variability.
Abstract: Two EWMA charts are usually required to monitor both process mean and variability. In this paper, we propose a new EWMA chart which effectively combines the usual two EWMA charts into one chart. In...
214 citations
TL;DR: Exponentially weighted moving average (EWMA) quality-monitoring schemes, referred to as omnibus EWMA's as discussed by the authors, are based on the exponentiation of the absolute value of the standardized sample mean of the observations.
Abstract: Exponentially weighted moving average (EWMA) quality-monitoring schemes capahlc of detecting changes in both location and spread, referred to as omnibus EWMA's. are proposed. Omnibus EWMA's are based on the exponentiation of the absolute value of the standardized sample mean of the observations. The process target mean and standard deviation are used for standardizing. Design procedures and considerations, including a fast initial response feature, are discussed. Average run lengths for exponents of .5 and 2 and various values of the weighting constant are presented. The proposed schemes are compared with each other and with a number of selected, well-known omnibus schemes and a proposed omnibus cumulative sum scheme. Schemes with different sample sizes are used, and off-target models include both static and dynamic alternatives. Comparisons are based on average number of observations to detection and expected loss due to poor quality. One of the omnibus EWMA schemes is shown to be best with regard to exp...
190 citations