Determine Robust Procedure for Testing Variance Equality Using Type l Error Rate and Power

Determine Robust Procedure for Testing Variance Equality Using Type l Error Rate and Power | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Determine Robust Procedure for Testing Variance Equality Using Type l Error Rate and Power Adebayo. O. Patrick, Ahmed. I This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4358203/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 3 You are reading this latest preprint version Abstract A comparison was made between seven different procedures used to determine variance homogeneity. The seven tests that were chosen for this comparison are Bartlett's test, Levene's test (mean), Levene's test (median), Levene's test (trimmed mean), the O'Brien test, the Cochran test, and Fligner's test. Data were simulated to compare the procedures using different distributions (Normal, Beta, and Uniform), sample sizes (5, 10, 50, and 100), equal samples (n_1 = n_2=...=n_k), and five (5) levels (i.e., k = 5). The power of the test and type l error rate were used to compare the selected procedures at a significant level of 0.05. The findings of the comparison showed that the Fligner technique is superior to all other procedures when the dataset is normally distributed. On the other hand, the Bartlett procedure is superior regardless of sample size when the dataset is not normally distributed. Homogeneity Type l Error Rate Power of the test Robust Normal Non – normal Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editor assigned by journal 13 May, 2024 Submission checks completed at journal 13 May, 2024 First submitted to journal 02 May, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4358203","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":301731658,"identity":"ee3f1d09-5fa9-4d1f-aac9-93a9cb8f7603","order_by":0,"name":"Adebayo. O. 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The seven tests that were chosen for this comparison are Bartlett's test, Levene's test (mean), Levene's test (median), Levene's test (trimmed mean), the O'Brien test, the Cochran test, and Fligner's test. Data were simulated to compare the procedures using different distributions (Normal, Beta, and Uniform), sample sizes (5, 10, 50, and 100), equal samples (n_1\u0026thinsp;=\u0026thinsp;n_2=...=n_k), and five (5) levels (i.e., k\u0026thinsp;=\u0026thinsp;5). The power of the test and type l error rate were used to compare the selected procedures at a significant level of 0.05. The findings of the comparison showed that the Fligner technique is superior to all other procedures when the dataset is normally distributed. 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