Examining the Relationship between Chi-Square Test Statistics and Skewness of Weibull Distribution: Simulation Study

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between Chi-Square Test Statistics and Skewness of Weibull Distribution: Simulation Study</title> <meta name="description" content="Examining the Relationship between Chi-Square Test Statistics and Skewness of Weibull Distribution: Simulation Study"> <meta name="keywords" content="goodness-of-fit test, chi-square test, simulation, continuous right skewed distributions"> <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 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87422</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Examining the Relationship between Chi-Square Test Statistics and Skewness of Weibull Distribution: Simulation Study</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rafida%20M.%20Elobaid">Rafida M. Elobaid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Most of the literature on goodness-of-fit test try to provide a theoretical basis for studying empirical distribution functions. Such goodness-of-fit tests are Kolmogorove-Simirnov and Crumer-Von Mises Type tests. However, it is likely that most of literature has not focused in details on the relationship of the values of the test statistics and skewness or kurtosis. The aim of this study is to investigate the behavior of the values of the 蠂2 test statistic with the variation of the skewness of right skewed distribution. A simulation study is conducted to generate random numbers from Weibull distribution. For a fixed sample sizes, different levels of skewness are considered, and the corresponding values of the 蠂2 test statistic are calculated. Using different sample sizes, the results show an inverse relationship between the value of 蠂2 test and the level of skewness for Wiebull distribution, i.e the value of 蠂2 test statistic decreases as the value of skewness increases. The research results also show that with large values of skewness we are more confident that the data follows the assumed distribution. Nonparametric Kendall 蟿 test is used to confirm these results. <iframe src="https://publications.waset.org/abstracts/43635.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=goodness-of-fit%20test" title="goodness-of-fit test">goodness-of-fit test</a>, <a href="https://publications.waset.org/abstracts/search?q=chi-square%20test" title=" chi-square test"> chi-square test</a>, <a href="https://publications.waset.org/abstracts/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=continuous%20right%20skewed%20distributions" title=" continuous right skewed distributions"> continuous right skewed distributions</a> </p> <a href="https://publications.waset.org/abstracts/43635/examining-the-relationship-between-chi-square-test-statistics-and-skewness-of-weibull-distribution-simulation-study" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43635.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">420</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 href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> 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Examining the Relationship between Chi-Square Test Statistics and Skewness of Weibull Distribution: Simulation Study