Confidence Intervals for Process Capability Indices for Autocorrelated Data

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Capability Indices for Autocorrelated Data</title> <meta name="description" content="Confidence Intervals for Process Capability Indices for Autocorrelated Data"> <meta name="keywords" content="autocorrelation, AR(1) model, Bissell鈥檚 approximation, confidence intervals, statistical process control, specification limits, stationary Gaussian processes"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" 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</div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Confidence Intervals for Process Capability Indices for Autocorrelated Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jane%20A.%20Luke">Jane A. Luke </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Persistent pressure passed on to manufacturers from escalating consumer expectations and the ever growing global competitiveness have produced a rapidly increasing interest in the development of various manufacturing strategy models. Academic and industrial circles are taking keen interest in the field of manufacturing strategy. Many manufacturing strategies are currently centered on the traditional concepts of focused manufacturing capabilities such as quality, cost, dependability and innovation. Process capability indices was conducted assuming that the process under study is in statistical control and independent observations are generated over time. However, in practice, it is very common to come across processes which, due to their inherent natures, generate autocorrelated observations. The degree of autocorrelation affects the behavior of patterns on control charts. Even, small levels of autocorrelation between successive observations can have considerable effects on the statistical properties of conventional control charts. When observations are autocorrelated the classical control charts exhibit nonrandom patterns and lack of control. Many authors have considered the effect of autocorrelation on the performance of statistical process control charts. In this paper, the effect of autocorrelation on confidence intervals for different PCIs was included. Stationary Gaussian processes is explained. Effect of autocorrelation on PCIs is described in detail. Confidence intervals for Cp and Cpk are constructed for PCIs when data are both independent and autocorrelated. Confidence intervals for Cp and Cpk are computed. Approximate lower confidence limits for various Cpk are computed assuming AR(1) model for the data. Simulation studies and industrial examples are considered to demonstrate the results. <iframe src="https://publications.waset.org/abstracts/15612.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=autocorrelation" title="autocorrelation">autocorrelation</a>, <a href="https://publications.waset.org/abstracts/search?q=AR%281%29%20model" title=" AR(1) model"> AR(1) model</a>, <a href="https://publications.waset.org/abstracts/search?q=Bissell%E2%80%99s%20approximation" title=" Bissell鈥檚 approximation"> Bissell鈥檚 approximation</a>, <a href="https://publications.waset.org/abstracts/search?q=confidence%20intervals" title=" confidence intervals"> confidence intervals</a>, <a href="https://publications.waset.org/abstracts/search?q=statistical%20process%20control" title=" statistical process control"> statistical process control</a>, <a href="https://publications.waset.org/abstracts/search?q=specification%20limits" title=" specification limits"> specification limits</a>, <a href="https://publications.waset.org/abstracts/search?q=stationary%20Gaussian%20processes" title=" stationary Gaussian processes"> stationary Gaussian processes</a> </p> <a href="https://publications.waset.org/abstracts/15612/confidence-intervals-for-process-capability-indices-for-autocorrelated-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15612.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">388</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a 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Confidence Intervals for Process Capability Indices for Autocorrelated Data