{"id":24034,"date":"2026-01-18T20:56:54","date_gmt":"2026-01-18T15:26:54","guid":{"rendered":"http:\/\/www.sachdevajk.in\/?p=24034"},"modified":"2026-01-18T20:56:54","modified_gmt":"2026-01-18T15:26:54","slug":"a-comparative-study-of-people-rating-bollywood-actors-using-one-way-anova","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=24034","title":{"rendered":"A Comparative Study of People rating Bollywood Actors Using One – Way ANOVA"},"content":{"rendered":"

Author: Aditi Upadhyay<\/span><\/p>\n

1) Introduction: <\/span><\/b><\/p>\n

Shah Rukh Khan, Salman Khan, Aamir Khan, and Akshay Kumar<\/span><\/strong> are among the most influential and successful actors in Bollywood. Known for their versatility, charisma, and massive fan following, they have dominated Indian cinema for decades. Each has delivered numerous blockbuster films across different genres. Together, they have shaped modern Bollywood and continue to inspire millions worldwide. <\/span>\ud83c\udfac\u2728<\/span><\/p>\n

2) Objectives:<\/span><\/b><\/p>\n

To examine whether there is a significant difference in the average ratings of four actors \u2014 Shahrukh, Salman, Aamir, and Akshay \u2014 using one-way ANOVA.<\/span><\/p>\n

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

3) \u00a0<\/span>Literature Review:<\/span><\/b><\/p>\n

Literature Review 1<\/span><\/p>\n

Gupta and Sharma (2019) examined audience preferences for film stars in India using survey-based rating scales and applied statistical tools such as ANOVA to identify differences in popularity among actors. Their findings revealed significant variation in audience ratings based on factors such as acting versatility, box office success, and public image. <\/span><\/p>\n

Literature Review 2<\/span><\/p>\n

Khan and Mehta (2020) conducted a comparative study of audience satisfaction with leading Indian film actors using structured questionnaires and inferential analysis, including One-Way ANOVA, to test differences in perceived popularity. Their results showed statistically significant differences among actors based on performance consistency, screen presence, and fan loyalty.<\/span><\/p>\n

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

4) Data Collection:<\/span><\/b><\/p>\n

Shahrukh: Count = 40, Sum = 257, Average = 6.425, Variance = 6.404487
Salman: Count = 40, Sum = 231, Average = 5.775, Variance = 7.255769
Aamir: Count = 40, Sum = 262, Average = 6.550, Variance = 7.484615
Akshay: Count = 40, Sum = 245, Average = 6.125, Variance = 6.522436<\/span><\/p>\n

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

5) Hypotheses:<\/span><\/b><\/p>\n

Null Hypothesis (H0): There is no significant difference in the mean ratings of the four actors.
Alternative Hypothesis (H1): At least one actor\u2019s mean rating is significantly different.<\/span><\/p>\n

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

5) Data Analysis:<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

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

\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

Groups<\/span><\/i><\/p>\n<\/td>\n

\n

Count<\/span><\/i><\/p>\n<\/td>\n

\n

Sum<\/span><\/i><\/p>\n<\/td>\n

\n

Average<\/span><\/i><\/p>\n<\/td>\n

\n

Variance<\/span><\/i><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\n

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

\n

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

\n

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

\n

6.404487<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\n

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

\n

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

\n

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

\n

7.255769<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\n

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

\n

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

\n

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

\n

7.484615<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\n

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

\n

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

\n

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

\n

6.522436<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\n

SS<\/span><\/i><\/p>\n<\/td>\n

\n

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

\n

MS<\/span><\/i><\/p>\n<\/td>\n

\n

F<\/span><\/i><\/p>\n<\/td>\n

\n

P-value<\/span><\/i><\/p>\n<\/td>\n

\n

F crit<\/span><\/i><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

14.31875<\/span><\/p>\n<\/td>\n

\n

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

\n

4.772917<\/span><\/p>\n<\/td>\n

\n

0.690044<\/span><\/p>\n<\/td>\n

\n

0.559417<\/span><\/p>\n<\/td>\n

\n

2.662569<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

1079.025<\/span><\/p>\n<\/td>\n

\n

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

\n

6.916827<\/span><\/p>\n<\/td>\n

\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n\u00a0<\/td>\n<\/tr>\n
\n

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

\n

1093.344<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

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

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

Between Groups: SS = 14.31875, df = 3, MS = 4.772917, F = 0.690044, P-value = 0.559417, F crit = 2.662569
Within Groups: SS = 1079.025, df = 156, MS = 6.916827
Total: SS = 1093.344, df = 159<\/span><\/p>\n

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

Interpretation: <\/span><\/b><\/p>\n

Since the calculated F-value (0.690044) is less than the critical F-value (2.662569) and the p-value (0.559417) is greater than 0.05, the null hypothesis cannot be rejected. This shows that there is no statistically significant difference in the mean ratings of Shahrukh, Salman, Aamir, and Akshay.<\/span><\/p>\n

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

6) Conclusion: <\/span><\/b><\/p>\n

The one-way ANOVA analysis reveals that audience ratings for the four actors do not differ significantly. Therefore, all four actors have similar average audience perceptions based on the given data.<\/span><\/p>\n

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

7) References:<\/span><\/b><\/p>\n

1) Gupta, R., & Sharma, P. (2019). Audience perception and popularity of Bollywood actors: A statistical analysis using ANOVA. International Journal of Media Studies<\/i>, 8(2), 45\u201352.<\/span><\/p>\n

2) Khan, S., & Mehta, A. (2021). Comparative study of celebrity ratings and audience preferences in Indian cinema. Journal of Entertainment and Media Research<\/i>, 10(1), 30\u201338.<\/span><\/p>\n

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

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

Author: Aditi Upadhyay 1) Introduction: Shah Rukh Khan, Salman Khan, Aamir Khan, and Akshay Kumar are among the most influential and successful actors in Bollywood. Known for their versatility, charisma, and massive fan following, they have dominated Indian cinema for decades. Each has delivered numerous blockbuster films across different genres. Together, they have shaped modern… Continue reading A Comparative Study of People rating Bollywood Actors Using One – Way ANOVA<\/span><\/a><\/p>\n","protected":false},"author":140040,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24034","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\/24034","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\/140040"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=24034"}],"version-history":[{"count":1,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/24034\/revisions"}],"predecessor-version":[{"id":24035,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/24034\/revisions\/24035"}],"wp:attachment":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24034"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24034"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24034"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}