{"id":25376,"date":"2026-03-29T23:29:36","date_gmt":"2026-03-29T17:59:36","guid":{"rendered":"https:\/\/www.sachdevajk.in\/?p=25376"},"modified":"2026-03-29T23:29:36","modified_gmt":"2026-03-29T17:59:36","slug":"a-comparative-statistical-analysis-of-singers","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=25376","title":{"rendered":"A Comparative Statistical Analysis of Singers"},"content":{"rendered":"
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A Comparative Statistical Analysis of Singers<\/span><\/p>\n<\/div>\n

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Author:<\/span>\u00a0Bhagy<\/span>a<\/span>shree Santosh Mohite\u00a0<\/span>(<\/span>0225029<\/span>)<\/span><\/span><\/p>\n<\/div>\n

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Introduction:<\/span><\/p>\n<\/div>\n

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The music industry consists of various singers whose performances are widely appreciated and evaluated by audiences.\u00a0<\/span>Analyzing<\/span>\u00a0the ratings of singers helps in understanding their consistency, vocal ability, and popularity among listeners. Apart from musical talent, factors such as brand value, fan engagement, and consistency play a significant role in shaping a singer\u2019s overall\u00a0<\/span>perception<\/span>. This study examines the perceived performance of selected singers as rated by listeners and followers.<\/span><\/span><\/p>\n<\/div>\n

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Objective:<\/span><\/p>\n<\/div>\n

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To\u00a0<\/span>analyze<\/span>\u00a0the ratings of singers using one-way ANOVA\u00a0<\/span>in order to<\/span>\u00a0<\/span>determine<\/span>\u00a0whether significant differences exist among them.<\/span><\/span><\/p>\n<\/div>\n

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Literature review:<\/span><\/p>\n<\/div>\n

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Efficiency and Performance Metrics<\/span><\/p>\n<\/div>\n

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Previous<\/span>\u00a0studies\u00a0<\/span>indicate<\/span>\u00a0that the success of singers depends not only on their vocal performance but also on audience\u00a0<\/span>perception<\/span>, branding, and consistency. Even highly popular singers may receive varying ratings due to subjective preferences of listeners.<\/span><\/span><\/p>\n<\/div>\n

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Comparative Methodology and Statistical\u00a0<\/span>Modeling<\/span><\/span><\/p>\n

Recent research highlights the importance of statistical tools like ANOVA in comparing performance across multiple subjects. Instead of relying only on popularity metrics, ANOVA helps\u00a0<\/span>determine<\/span>\u00a0whether observed differences in ratings are statistically significant.<\/span><\/span><\/p>\n<\/div>\n

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Data collection:<\/span><\/p>\n<\/div>\n

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The data for this study was collected using primary research methods via a structured survey distributed through Google Forms. A total of 30 responses were recorded. Participants were asked to rate the singers\u2014Lata Mangeshkar, Asha Bhosle, Kishore Kumar, and Mohammad Rafi\u2014on a scale of 1 to 10 based on their overall performance, popularity, and consistency, and a One-Way ANOVA was calculated on the compiled data.<\/span><\/p>\n

Data Analysis:<\/span><\/p>\n<\/div>\n

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Anova: Single Factor<\/span><\/p>\n<\/div>\n

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SUMMARY<\/span><\/p>\n<\/div>\n

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\u00a0<\/div>\n\n\n\n\n\n\n\n
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Groups<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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Count<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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Sum<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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Average<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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Variance<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Lata Mangeshkar<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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30<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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272<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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9.07<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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1.86<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Asha Bhosle<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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30<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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257<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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8.57<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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2.11<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Kishore Kumar<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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30<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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262<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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8.73<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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1.86<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Mohammad Rafi<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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30<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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246<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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8.20<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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4.99<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

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

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ANOVA<\/span><\/p>\n<\/div>\n

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\u00a0<\/div>\n\n\n\n\n\n\n
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Source of Variation<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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SS<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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df<\/span><\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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MS<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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F<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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P-value<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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F crit<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Between Groups<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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11.6917<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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3<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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3.8972<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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1.4402<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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0.2347<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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2.68<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Within Groups<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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313.90<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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116<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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2.7060<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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

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

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\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n

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Total<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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325.59<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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119<\/span>\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n

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

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

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

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\u00a0<\/span><\/p>\n<\/div>\n<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n

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\u00a0<\/p>\n

Hypothesis:<\/span><\/p>\n

H0: Lata Mangeshkar = Asha Bhosle = Kishore Kumar = Mohammad Rafi<\/span>\u00a0<\/span>
<\/span>H1: Any one of them is different.<\/span><\/p>\n<\/div>\n

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

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Conclusion:<\/span><\/p>\n<\/div>\n

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As calculated, F (1.4402) is less than F crit (2.68). Accept H1, meaning any one of them is different.<\/span><\/p>\n<\/div>\n

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Reference:<\/span><\/p>\n<\/div>\n

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\u00b7 Kumar, P., &\u00a0<\/span>Nagorao<\/span>, C. G. (2022). A statistical study of performance analysis using ANOVA techniques. Journal of Modern Mathematics and Statistics, 17(1), 1\u20138.<\/span><\/span><\/p>\n

\u00b7 Singh, S. (2011). Measuring performance efficiency using statistical tools. American Journal of Operations Research, 1(03), 180\u2013184.<\/span><\/p>\n<\/div>\n

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\u00a0<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

A Comparative Statistical Analysis of Singers Author:\u00a0Bhagyashree Santosh Mohite\u00a0(0225029) Introduction: The music industry consists of various singers whose performances are widely appreciated and evaluated by audiences.\u00a0Analyzing\u00a0the ratings of singers helps in understanding their consistency, vocal ability, and popularity among listeners. Apart from musical talent, factors such as brand value, fan engagement, and consistency play a… Continue reading A Comparative Statistical Analysis of Singers<\/span><\/a><\/p>\n","protected":false},"author":140140,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25376","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\/25376","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\/140140"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25376"}],"version-history":[{"count":1,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25376\/revisions"}],"predecessor-version":[{"id":25377,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25376\/revisions\/25377"}],"wp:attachment":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25376"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25376"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}