{"id":25380,"date":"2026-04-04T12:47:27","date_gmt":"2026-04-04T07:17:27","guid":{"rendered":"http:\/\/www.sachdevajk.in\/?p=25380"},"modified":"2026-04-04T12:47:27","modified_gmt":"2026-04-04T07:17:27","slug":"a-comparative-statistical-analysis-of-smartphone-brands","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=25380","title":{"rendered":"A Comparative Statistical Analysis of Smartphone Brands"},"content":{"rendered":"<p class=\"MsoNormal\"><b>A Comparative Statistical Analysis of Smartphone Brands<\/b><\/p>\n<p class=\"MsoNormal\"><b>Author: Ankit Nagarale(32)<\/b><\/p>\n<p class=\"MsoNormal\"><b>Introduction<\/b><\/p>\n<p class=\"MsoNormal\">The smartphone industry is highly competitive, with multiple brands striving to capture consumer attention through performance, design, and marketing strategies. Analyzing user ratings of smartphone brands helps in understanding their perceived quality, consistency, and popularity. Beyond technical specifications, factors such as brand value, customer engagement, and reliability play a crucial role in shaping consumer perception. This study examines the performance ratings of selected smartphone brands as evaluated by users.<\/p>\n<p class=\"MsoNormal\"><b>Objective<\/b><\/p>\n<p class=\"MsoNormal\">To analyze the ratings of smartphone brands using <b>one-way ANOVA<\/b> in order to determine whether significant differences exist among them.<\/p>\n<p class=\"MsoNormal\"><b>Literature Review<\/b><\/p>\n<p class=\"MsoNormal\"><b>Efficiency and Performance Metrics<\/b><br \/>Previous studies highlight that consumer satisfaction depends not only on product specifications but also on brand reputation, after-sales service, and perceived value. Even popular brands may receive varying ratings due to subjective preferences.<\/p>\n<p class=\"MsoNormal\"><b>Comparative Methodology and Statistical Modeling<\/b><br \/>Statistical tools like ANOVA are widely used to compare performance across multiple groups. Instead of relying solely on sales or popularity, ANOVA helps determine whether observed differences in ratings are statistically significant.<\/p>\n<p class=\"MsoNormal\"><b>Data Collection<\/b><\/p>\n<p class=\"MsoNormal\">The data for this study was collected using primary research methods via a structured survey distributed through Google Forms. A total of <b>128 responses<\/b> were recorded. Participants were asked to rate the smartphone brands\u2014<b>Samsung, Oppo, Realme, and Vivo<\/b>\u2014on a scale of 1 to 10 based on their overall performance, popularity, and consistency. A <b>One-Way ANOVA<\/b> was then applied to the compiled data.<\/p>\n<p class=\"MsoNormal\"><b>Data Analysis<\/b><\/p>\n<p class=\"MsoNormal\"><b>ANOVA: Single Factor<\/b><\/p>\n<p class=\"MsoNormal\"><b>Summary Table<\/b><\/p>\n<table class=\"MsoNormalTable\" border=\"0\" cellspacing=\"3\" cellpadding=\"0\">\n<thead>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>Groups<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>Count<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>Sum<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>Average<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>Variance<\/b><\/p>\n<\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Samsung<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">32<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">197<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">6.16<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">9.56<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Oppo<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">32<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">184<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">5.75<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">7.29<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Realme<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">32<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">152<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">4.75<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">8.06<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Vivo<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">32<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">176<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">5.50<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">9.42<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"MsoNormal\"><b>ANOVA Table<\/b><\/p>\n<table class=\"MsoNormalTable\" border=\"0\" cellspacing=\"3\" cellpadding=\"0\">\n<thead>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>Source of Variation<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>SS<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>df<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>MS<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>F<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>P-value<\/b><\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\"><b>F crit<\/b><\/p>\n<\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Between Groups<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">33.59<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">3<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">11.20<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">1.30<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">0.276<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">2.68<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Within Groups<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">1064.22<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">124<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">8.58<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">Total<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">1097.80<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\n<p class=\"MsoNormal\">127<\/p>\n<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<td style=\"padding: .75pt .75pt .75pt .75pt\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"MsoNormal\"><b>Hypothesis<\/b><\/p>\n<ul style=\"margin-top: 0cm\" type=\"disc\">\n<li class=\"MsoNormal\"><b>H0<\/b>: Samsung = Oppo = Realme = Vivo<\/li>\n<li class=\"MsoNormal\"><b>H1<\/b>: At least one brand is different.<\/li>\n<\/ul>\n<p class=\"MsoNormal\"><b>Conclusion<\/b><\/p>\n<p class=\"MsoNormal\">As calculated, <b>F (1.30) is less than F crit (2.68)<\/b> and the <b>p-value (0.276) is greater than 0.05<\/b>. Therefore, we <b>accept the null hypothesis (H0)<\/b>. This means that there is <b>no statistically significant difference<\/b> among the ratings of Samsung, Oppo, Realme, and Vivo.<\/p>\n<p class=\"MsoNormal\">In other words, while Samsung shows the highest average rating (6.16) and Realme the lowest (4.75), these differences are not statistically significant. Consumers perceive the four brands as broadly similar in terms of overall performance, popularity, and consistency.<\/p>\n<p class=\"MsoNormal\"><b>References<\/b><\/p>\n<ul style=\"margin-top: 0cm\" type=\"disc\">\n<li class=\"MsoNormal\">Kumar, P., &amp; Nagorao, C. G. (2022). A statistical study of performance analysis using ANOVA techniques. <i>Journal of Modern Mathematics and Statistics, 17<\/i>(1), 1\u20138.<\/li>\n<li class=\"MsoNormal\">Singh, S. (2011). Measuring performance efficiency using statistical tools. <i>American Journal of Operations Research, 1<\/i>(03), 180\u2013184.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>A Comparative Statistical Analysis of Smartphone Brands Author: Ankit Nagarale(32) Introduction The smartphone industry is highly competitive, with multiple brands striving to capture consumer attention through performance, design, and marketing strategies. Analyzing user ratings of smartphone brands helps in understanding their perceived quality, consistency, and popularity. Beyond technical specifications, factors such as brand value, customer&hellip; <a class=\"more-link\" href=\"http:\/\/www.sachdevajk.in\/?p=25380\">Continue reading <span class=\"screen-reader-text\">A Comparative Statistical Analysis of Smartphone Brands<\/span><\/a><\/p>\n","protected":false},"author":140100,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25380","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\/25380","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\/140100"}],"replies":[{"embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25380"}],"version-history":[{"count":1,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25380\/revisions"}],"predecessor-version":[{"id":25381,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=\/wp\/v2\/posts\/25380\/revisions\/25381"}],"wp:attachment":[{"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25380"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25380"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.sachdevajk.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25380"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}