{"id":25294,"date":"2026-03-28T23:14:56","date_gmt":"2026-03-28T17:44:56","guid":{"rendered":"http:\/\/www.sachdevajk.in\/?p=25294"},"modified":"2026-03-28T23:14:56","modified_gmt":"2026-03-28T17:44:56","slug":"one-way-anova-rating-analysis-of-4-popular-sports","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=25294","title":{"rendered":"One-Way ANOVA, Rating Analysis of 4 Popular SPORTS"},"content":{"rendered":"

Title – One-Way ANOVA, Rating Analysis of 4 Popular SPORTS<\/span><\/b><\/p>\n

Author \u2013 YUVRAJ KOLI (21)<\/span><\/b><\/p>\n

Introduction<\/span><\/b><\/p>\n

Sports are activities that keep us physically active and mentally strong while also providing enjoyment and competition. Popular games like cricket, table tennis, carrom, and chess are played by people of all ages. While cricket and table tennis improve physical fitness and coordination, carrom and chess help develop focus, strategy, and decision-making skills. Together, these sports promote teamwork, discipline, and overall development.<\/span><\/p>\n

\u00a0<\/p>\n

Objective <\/span><\/b>\u2013<\/span><\/b> To compare 4 Sports by way of One-Way ANOVA.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Literature Review<\/span><\/b><\/p>\n

In the context of sports and preferences, individuals rate different sports based on their physical involvement, enjoyment, and cognitive engagement. Research by Paul M. Pedersen<\/span> (2013) highlights that popular sports like Cricket<\/span> attract higher engagement due to their social and entertainment value, while indoor games such as Table Tennis<\/span> are appreciated for improving reflexes and coordination.<\/p>\n

Further, strategic board games like Chess<\/span> and Carrom<\/span> have been studied for their cognitive benefits. Herbert A. Simon<\/span> (1972) emphasized that chess enhances problem-solving ability, memory, and decision-making skills, while similar indoor games contribute to concentration and mental discipline.<\/p>\n

\u00a0<\/span><\/p>\n

Data collection<\/span><\/b><\/p>\n

Students of our Batch were requested to grade the following Sports: Cricket, Table tennis, Carrom, Chess on a scale of 1-10. The Google Form was circulated in class, and a one-way ANOVA was calculated.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Data analysis<\/span><\/b><\/p>\n

H0: Cricket = Table tennis = \u00a0<\/span>Carrom = Chess <\/span><\/p>\n

H1: Any one of them is different<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Mean Square Between (MS): 1.445, Mean Square Within (MS): 4.265, P-value: 0.797, (df): (3, 100) (Between Groups, Within Groups), (F crit): 2.6955<\/span><\/p>\n

\u00a0<\/p>\n\n\n\n\n\n\n
\n

Source of Variation<\/span><\/b><\/p>\n<\/td>\n

\n

Sum of Squares (SS)<\/span><\/b><\/p>\n<\/td>\n

\n

df<\/span><\/b><\/p>\n<\/td>\n

\n

Mean Square (MS)<\/span><\/b><\/p>\n<\/td>\n

\n

F-Statistic<\/span><\/b><\/p>\n<\/td>\n

\n

F-Critical (\u03b1 = 0.05)<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

\n

Between Groups<\/span><\/b><\/p>\n<\/td>\n

\n

4.3365<\/span><\/p>\n<\/td>\n

\n

3<\/span><\/p>\n<\/td>\n

\n

1.445<\/span><\/p>\n<\/td>\n

\n

0.3388<\/span><\/p>\n<\/td>\n

\n

2.6955<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Within Groups (Error)<\/span><\/b><\/p>\n<\/td>\n

\n

426.5769<\/span><\/p>\n<\/td>\n

\n

100<\/span><\/p>\n<\/td>\n

\n

4.265<\/span><\/p>\n<\/td>\n

\n

—<\/span><\/p>\n<\/td>\n

\n

—<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

Total<\/span><\/b><\/p>\n<\/td>\n

\n

430.9134<\/span><\/p>\n<\/td>\n

\n

103<\/span><\/p>\n<\/td>\n

\n

—<\/span><\/p>\n<\/td>\n

\n

—<\/span><\/p>\n<\/td>\n

\n

—<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Conclusion<\/span><\/b><\/p>\n

The p-value= 0.797 is greater than the significance level of 0.05<\/b>, which means all Sports are the same.<\/span><\/p>\n

\u00a0<\/p>\n

Reference<\/span><\/b><\/p>\n

Ronald A. Fisher (1925). Statistical Methods for Research Workers. Oliver and Boyd.<\/span>\u00a0\u00a0\u00a0 <\/span><\/span><\/p>\n

pp. 189\u2013192 (Concept and application of ANOVA)<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Paul M. Pedersen (2013). Routledge Handbook of Sport Communication. Routledge.<\/span><\/p>\n

pp. 45\u201360 (Sports engagement and audience behavior)<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Title – One-Way ANOVA, Rating Analysis of 4 Popular SPORTS Author \u2013 YUVRAJ KOLI (21) Introduction Sports are activities that keep us physically active and mentally strong while also providing enjoyment and competition. Popular games like cricket, table tennis, carrom, and chess are played by people of all ages. While cricket and table tennis improve… Continue reading One-Way ANOVA, Rating Analysis of 4 Popular SPORTS<\/span><\/a><\/p>\n","protected":false},"author":140139,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25294","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\/25294","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\/140139"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25294"}],"version-history":[{"count":1,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25294\/revisions"}],"predecessor-version":[{"id":25295,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25294\/revisions\/25295"}],"wp:attachment":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25294"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25294"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25294"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}