{"id":25340,"date":"2026-03-29T01:03:42","date_gmt":"2026-03-28T19:33:42","guid":{"rendered":"https:\/\/www.sachdevajk.in\/?p=25340"},"modified":"2026-03-29T01:03:42","modified_gmt":"2026-03-28T19:33:42","slug":"a-study-on-movie-ratings-using-anova","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=25340","title":{"rendered":"A Study on Movie Ratings using ANOVA"},"content":{"rendered":"

Title:<\/span><\/b><\/h1>\n

A Study on Movie Ratings using ANOVA<\/span><\/p>\n

Author:<\/span><\/b><\/h2>\n

Rehan Siddiqui (53)<\/span><\/p>\n

Introduction:<\/span><\/b><\/h2>\n

Movies are a major source of entertainment, and audience ratings help in understanding their popularity and acceptance. These ratings vary depending on factors such as storyline, direction, and viewer preferences. Statistical tools like ANOVA help in analyzing whether these differences are significant. This study applies ANOVA to examine variations in movie ratings.<\/span><\/p>\n

Objective:<\/span><\/b><\/h2>\n

To examine whether there is a significant difference in movie ratings using ANOVA.<\/span><\/p>\n

Literature Review:<\/span><\/b><\/h2>\n

1.<\/span><\/b> According to Ronald A. Fisher (1925), ANOVA is a statistical technique used to compare the means of multiple groups and determine whether the differences between them are statistically significant.<\/span><\/p>\n

2.<\/span><\/b> Studies on audience behavior suggest that movie ratings are influenced by factors such as storyline, direction, and individual preferences, and statistical tools help in analyzing these differences.<\/span><\/p>\n

Data Collection:<\/span><\/b><\/h2>\n

The data was collected through a survey where respondents rated four movies: Interstellar, F1, The Martian, and Batman v Superman on a scale of 1 to 10.<\/span><\/p>\n

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

Summary Table:<\/span><\/b><\/h3>\n\n\n\n\n\n\n\n
\n

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

\n

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

\n

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

\n

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

\n

Variance<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

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

\n

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

\n

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

\n

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

\n

F1<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

The Martian<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\n

Batman v Superman<\/span><\/p>\n<\/td>\n

\n

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

\n

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

\n

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

\n

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

\u00a0<\/span><\/b><\/h3>\n

ANOVA Table:<\/span><\/b><\/h3>\n\n\n\n\n\n\n
\n

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

\n

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

\n

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

\n

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

\n

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

\n

p-value<\/span><\/b><\/p>\n<\/td>\n

\n

F-crit<\/span><\/b><\/p>\n<\/td>\n<\/tr>\n

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

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

\n

0.82<\/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

\n

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

\n

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

\n

107<\/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><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span>F (calculated) = 2.11<\/b> <\/span><\/p>\n

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span>F (table) = 2.70<\/b> <\/span><\/p>\n

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

Since the calculated F value is less than the table value, the null hypothesis is accepted. This indicates that there is no significant difference in movie ratings. Therefore, audience ratings for all the selected movies are statistically similar.<\/span><\/p>\n

References:<\/span><\/b><\/h2>\n

Fisher, Ronald A. (1925). Statistical Methods for Research Workers<\/i>. <\/span><\/p>\n

Survey Data<\/span><\/p>\n

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

Title: A Study on Movie Ratings using ANOVA Author: Rehan Siddiqui (53) Introduction: Movies are a major source of entertainment, and audience ratings help in understanding their popularity and acceptance. These ratings vary depending on factors such as storyline, direction, and viewer preferences. Statistical tools like ANOVA help in analyzing whether these differences are significant.… Continue reading A Study on Movie Ratings using ANOVA<\/span><\/a><\/p>\n","protected":false},"author":140123,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25340","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\/25340","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\/140123"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25340"}],"version-history":[{"count":1,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25340\/revisions"}],"predecessor-version":[{"id":25341,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25340\/revisions\/25341"}],"wp:attachment":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25340"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}