{"id":17671,"date":"2023-04-24T21:43:21","date_gmt":"2023-04-24T16:13:21","guid":{"rendered":"http:\/\/www.sachdevajk.in\/2023\/04\/24\/one-way-anova\/"},"modified":"2023-04-27T07:18:02","modified_gmt":"2023-04-27T01:48:02","slug":"one-way-anova","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=17671","title":{"rendered":"One Way ANOVA"},"content":{"rendered":"<p>Title: Comparison of bike brands.<\/p>\n<p>Author: Pooja Yadav<\/p>\n<p>Introduction: TVS, Honda, Yamaha, and Bajaj are all well-known and respected brands in the world of motorcycles and scooters.<br \/>\nTVS is an Indian multinational motorcycle company that was founded in 1978. They are known for producing high-quality motorcycles and scooters that are affordable and reliable. Some of their popular models include the Apache, Jupiter, and NTORQ.<br \/>\nHonda is a Japanese company that has been producing motorcycles since 1955. They are known for their high-quality bikes that are designed for performance and comfort. Some of their popular models include the CBR, Africa Twin, and Gold Wing.<br \/>\nYamaha is another Japanese company that has been producing motorcycles since 1955. They are known for their innovative designs and advanced technology. Some of their popular models include the R1, MT-07, and FZ-09.<br \/>\nBajaj is an Indian company that was founded in 1945. They produce a wide range of two-wheelers, including motorcycles and scooters, and are known for their affordable pricing and fuel efficiency. Some of their popular models include the Pulsar, Platina, and CT100.<\/p>\n<p>Objective: To compare the likeability of bike brands<br \/>\n1.\tTVS<br \/>\n2.\tHonda<br \/>\n3.\tYamaha<br \/>\n4.\tBajaj<br \/>\nTest Hypothesis: H0 all are same, H1 at least one of them is different.<\/p>\n<p>Data Collection: Four bike brands were selected for this Project: One Way ANOVA. Students of the class were requested to grade the brands out of 10 and then One Way ANOVA was calculated.<\/p>\n<p>Data analysis:<br \/>\nAnova: Single Factor\t\t\t\t<\/p>\n<p>SUMMARY<br \/>\nGroups\tCount\tSum\tAverage\tVariance<br \/>\nTVS\t40\t273\t6.825\t6.660897<br \/>\nHonda\t40\t295\t7.375\t5.112179<br \/>\nYamaha \t40\t303\t7.575\t5.378846<br \/>\nBajaj \t40\t301\t7.525\t5.845513<\/p>\n<p>ANOVA<br \/>\nSource of Variation\tSS\tdf\tMS\tF\tP-value\tF crit<br \/>\nBetween Groups\t14.2\t3\t4.733333\t0.82328\t0.482871\t2.662569<br \/>\nWithin Groups\t896.9\t156\t5.749359\t\t\t<\/p>\n<p>Total\t911.1\t159\t \t \t \t <\/p>\n<p>The ANOVA table shows that the \u201cBetween Groups\u201d factor has a sum of squares (SS) of 14.2, a degree of freedom (df) of 3, and a mean square (MS) of 4.733333.<br \/>\nThe \u201cWithin Groups\u201d factor has an SS of 896.9 and a df of 156, resulting in an MS of 5.749359.<br \/>\nThe F-ratio calculated by dividing the MS for the \u201cBetween Groups\u201d factor by the MS for the \u201cWithin Groups\u201d factor is 0.82328, which corresponds to a P-value of 0.482871.<br \/>\nThe P-value associated with the F-ratio is 0.482871, which is greater than the conventional threshold of 0.05. This indicates that there is no significant difference between the means of the groups.<br \/>\nThe critical F-value for this analysis, based on a significance level of 0.05 and the degrees of freedom for the \u201cBetween Groups\u201d and \u201cWithin Groups\u201d factors, is 2.662569. The obtained F-ratio is smaller than the critical F-value, indicating that there is no significant difference between the means of the groups.<br \/>\nH0 accepted.<\/p>\n<p>Conclusion: All are the same.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title: Comparison of bike brands. Author: Pooja Yadav Introduction: TVS, Honda, Yamaha, and Bajaj are all well-known and respected brands in the world of motorcycles and scooters. TVS is an Indian multinational motorcycle company that was founded in 1978. They are known for producing high-quality motorcycles and scooters that are affordable and reliable. Some of&hellip; <a class=\"more-link\" href=\"http:\/\/www.sachdevajk.in\/?p=17671\">Continue reading <span class=\"screen-reader-text\">One Way ANOVA<\/span><\/a><\/p>\n","protected":false},"author":112168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-17671","post","type-post","status-publish","format-standard","hentry","category-uncategorized","entry"],"_links":{"self":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/17671","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/users\/112168"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17671"}],"version-history":[{"count":1,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/17671\/revisions"}],"predecessor-version":[{"id":17682,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/17671\/revisions\/17682"}],"wp:attachment":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17671"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17671"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17671"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}