{"id":231164,"date":"2025-10-22T09:04:06","date_gmt":"2025-10-22T03:34:06","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=231164"},"modified":"2025-10-22T09:45:31","modified_gmt":"2025-10-22T04:15:31","slug":"analysis-of-variance-for-ssc-cgl","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/","title":{"rendered":"Analysis of Variance (ANOVA) for SSC CGL Tier 2, Paper 2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#What_is_Analysis_of_Variance_ANOVA\" >What is Analysis of Variance (ANOVA)?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#Basic_Idea_Behind_ANOVA\" >Basic Idea Behind ANOVA<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#Key_Terms_used_in_ANOVA\" >Key Terms used in ANOVA<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#Types_of_ANOVA\" >Types of ANOVA<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#1_One-Way_ANOVA_Single_Factor_Classification\" >1. One-Way ANOVA (Single Factor Classification)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#2_Two-Way_ANOVA_Two_Factor_Classification\" >2. Two-Way ANOVA (Two Factor Classification)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#Key_Takeaways\" >Key Takeaways<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>In the SSC CGL Tier 2 Statistics Paper <a href=\"https:\/\/www.oliveboard.in\/ssc-jso\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO<\/a>, <em>Analysis of Variance (ANOVA)<\/em> is an important topic under Statistical Inference. It helps in comparing the means of multiple groups to see if there is any significant difference among them. This article explains the concept of ANOVA, its assumptions, types (One-way and Two-way classification), formulas, and examples in an easy-to-understand manner.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-analysis-of-variance-anova\"><span class=\"ez-toc-section\" id=\"What_is_Analysis_of_Variance_ANOVA\"><\/span><strong>What is Analysis of Variance (ANOVA)?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Analysis of Variance (ANOVA) is a statistical technique used to test whether the means of three or more groups are significantly different. While t-tests compare means of two groups, ANOVA extends this concept to more than two groups. It works by analyzing the variation between groups and within groups.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=Contms&amp;utm_medium=Organic&amp;utm_source=Blog&amp;utm_campaign=Contms\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free New Interface SSC CGL Tier 2 Mock test<\/a><\/div>\n<\/div>\n\n\n\n<p>Also check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-quantitative-aptitude-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-basic-idea-behind-anova\"><span class=\"ez-toc-section\" id=\"Basic_Idea_Behind_ANOVA\"><\/span><strong>Basic Idea Behind ANOVA<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>ANOVA compares:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Between-group variation (difference in means of different groups)<\/li>\n\n\n\n<li>Within-group variation (difference within each group)<\/li>\n<\/ul>\n\n\n\n<p>If the between-group variation is much larger than the within-group variation, it means at least one group mean is significantly different.<\/p>\n\n\n\n<p>Check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-reasoning-and-general-intelligence-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Reasoning Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-terms-used-in-anova\"><span class=\"ez-toc-section\" id=\"Key_Terms_used_in_ANOVA\"><\/span><strong>Key Terms used in ANOVA<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-2-previous-year-paper\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CGL Tier 2 Previous Year Paper, Download Free PDF<\/a><\/div>\n<\/div>\n\n\n\n<p>Below are the terms used in ANOVA:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Term<\/strong><\/strong><\/td><td><strong><strong>Meaning<\/strong><\/strong><\/td><\/tr><tr><td><strong>Factor<\/strong><\/td><td>The variable that divides the data into groups (e.g., teaching method)<\/td><\/tr><tr><td><strong>Level<\/strong><\/td><td>The different categories or groups under a factor (e.g., Method A, B, C)<\/td><\/tr><tr><td><strong>Treatment<\/strong><\/td><td>Each combination of factor and level<\/td><\/tr><tr><td><strong>Sum of Squares (SS)<\/strong><\/td><td>Measure of variation (explained or unexplained)<\/td><\/tr><tr><td><strong>Mean Square (MS)<\/strong><\/td><td>Average variation (SS divided by degrees of freedom)<\/td><\/tr><tr><td><strong>F-statistic<\/strong><\/td><td>Ratio of between-group to within-group variance<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-computer-awareness-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Computer Awareness Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-types-of-anova\"><span class=\"ez-toc-section\" id=\"Types_of_ANOVA\"><\/span><strong>Types of ANOVA<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>There are two main types of ANOVA for SSC CGL JSO exam:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>One-way ANOVA (Single factor classification)<\/strong><\/li>\n\n\n\n<li><strong>Two-way ANOVA (Two factor classification)<\/strong><\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-1-one-way-anova-single-factor-classification\"><span class=\"ez-toc-section\" id=\"1_One-Way_ANOVA_Single_Factor_Classification\"><\/span><strong>1. One-Way ANOVA (Single Factor Classification)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-definition\"><strong>Definition<\/strong><\/h3>\n\n\n\n<p>One-way ANOVA is used when there is <strong>only one independent variable (factor)<\/strong> and we want to test if the means of three or more groups are equal. For example: A teacher wants to test whether three different teaching methods (A, B, C) lead to different average marks among students.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-assumptions-of-one-way-anova\"><strong>Assumptions of One-Way ANOVA<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Samples are independent.<\/li>\n\n\n\n<li>Each group follows a normal distribution.<\/li>\n\n\n\n<li>All groups have equal variances (homogeneity of variance).<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"655\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.25-AM-1024x655.webp\" alt=\"\" class=\"wp-image-231229\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.25-AM-1024x655.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.25-AM-768x491.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.25-AM-150x96.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.25-AM.webp 1314w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"475\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.35-AM-1024x475.webp\" alt=\"\" class=\"wp-image-231230\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.35-AM-1024x475.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.35-AM-768x356.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.35-AM-1536x712.webp 1536w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.35-AM-150x70.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.35-AM.webp 1812w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"138\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.52-AM-1024x138.webp\" alt=\"\" class=\"wp-image-231231\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.52-AM-1024x138.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.52-AM-768x103.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.52-AM-150x20.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.42.52-AM.webp 1458w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-2-two-way-anova-two-factor-classification\"><span class=\"ez-toc-section\" id=\"2_Two-Way_ANOVA_Two_Factor_Classification\"><\/span><strong>2. Two-Way ANOVA (Two Factor Classification)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-definition-0\"><strong>Definition<\/strong><\/h3>\n\n\n\n<p>Two-way ANOVA is used when there are <strong>two independent factors<\/strong> affecting one dependent variable, and each factor has two or more levels.<\/p>\n\n\n\n<p>For example:<br>A researcher studies the effect of <strong>teaching method (A, B)<\/strong> and <strong>gender (Male, Female)<\/strong> on student marks.<\/p>\n\n\n\n<p>Here:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Factor 1: Teaching Method<\/li>\n\n\n\n<li>Factor 2: Gender<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-purpose\"><strong>Purpose<\/strong><\/h3>\n\n\n\n<p>Two-way ANOVA helps in studying:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The <strong>individual effect<\/strong> of each factor.<\/li>\n\n\n\n<li>The <strong>combined (interaction) effect<\/strong> of both factors.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"138\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.12-AM-1024x138.webp\" alt=\"\" class=\"wp-image-231232\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.12-AM-1024x138.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.12-AM-768x103.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.12-AM-150x20.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.12-AM.webp 1458w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"484\" height=\"372\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.47.01-AM.png\" alt=\"\" class=\"wp-image-231233\" style=\"width:257px;height:auto\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.47.01-AM.png 484w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.47.01-AM-150x115.png 150w\" sizes=\"auto, (max-width: 484px) 100vw, 484px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-assumptions-of-two-way-anova\"><strong>Assumptions of Two-Way ANOVA<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Samples are independent and normally distributed.<\/li>\n\n\n\n<li>Variance across all groups is equal.<\/li>\n\n\n\n<li>Observations are random.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-anova-table-for-two-way-classification\"><strong>ANOVA Table for Two-Way Classification<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"405\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.21-AM-1024x405.webp\" alt=\"\" class=\"wp-image-231235\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.21-AM-1024x405.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.21-AM-768x304.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.21-AM-1536x607.webp 1536w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.21-AM-150x59.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.43.21-AM.webp 1746w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-decision-rule\"><strong>Decision Rule<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"283\" data-id=\"231236\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.48.39-AM-1024x283.webp\" alt=\"\" class=\"wp-image-231236\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.48.39-AM-1024x283.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.48.39-AM-768x212.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.48.39-AM-150x41.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.48.39-AM.webp 1346w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-example\"><strong>Example<\/strong><\/h3>\n\n\n\n<p>A company wants to see if <strong>machine type (A, B)<\/strong> and <strong>operator experience (Skilled, Unskilled)<\/strong> affect production rate.<br>Two-way ANOVA shows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>FA=5.8&gt;Ftable=3.9F_A = 5.8 &gt; F_{table} = 3.9FA\u200b=5.8&gt;Ftable\u200b=3.9 \u2192 Machine type has significant effect.<\/li>\n\n\n\n<li>FB=2.5&lt;3.9F_B = 2.5 &lt; 3.9FB\u200b=2.5&lt;3.9 \u2192 Experience has no significant effect.<\/li>\n\n\n\n<li>FAB=1.8&lt;3.9F_{AB} = 1.8 &lt; 3.9FAB\u200b=1.8&lt;3.9 \u2192 No interaction effect.<\/li>\n<\/ul>\n\n\n\n<p>Hence, <strong>only machine type<\/strong> affects production significantly.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-takeaways\"><span class=\"ez-toc-section\" id=\"Key_Takeaways\"><\/span><strong>Key Takeaways<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ANOVA is used to <strong>compare means<\/strong> of more than two groups.<\/li>\n\n\n\n<li><strong>One-way ANOVA<\/strong> \u2192 One factor; <strong>Two-way ANOVA<\/strong> \u2192 Two factors.<\/li>\n\n\n\n<li><strong>F-test<\/strong> is used to measure variation among group means.<\/li>\n\n\n\n<li>Assumptions: normality, independence, equal variances.<\/li>\n\n\n\n<li>Practice ANOVA questions from past SSC CGL JSO papers for better conceptual clarity.<\/li>\n<\/ul>\n\n\n\n<p>Check other SSC JSO related blogs:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Blogs<\/strong><\/strong><\/td><td><strong>Blogs<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ssc-jso-mock-test\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Mock Test<\/a><\/td><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-books\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Books<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-cutoff\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Cut Off<\/a><\/td><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-promotion\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Promotion<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span><strong>FAQs<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1761103932441\"><strong class=\"schema-faq-question\"><strong>Q1. What is the main purpose of ANOVA?<\/strong><\/strong> <p class=\"schema-faq-answer\">To test if there are significant differences between the means of three or more groups.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103938547\"><strong class=\"schema-faq-question\"><strong>Q2. What is the difference between One-way and Two-way ANOVA?<\/strong><\/strong> <p class=\"schema-faq-answer\">One-way ANOVA studies one factor; Two-way ANOVA studies two factors and their interaction effect.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103945468\"><strong class=\"schema-faq-question\"><strong>Q3. What is the F-statistic in ANOVA?<\/strong><\/strong> <p class=\"schema-faq-answer\">It is the ratio of variance between groups to variance within groups.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103950063\"><strong class=\"schema-faq-question\"><strong>Q4. What are the key assumptions of ANOVA?<\/strong><\/strong> <p class=\"schema-faq-answer\">Normal distribution, independence of samples, and equal variances across groups.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103954646\"><strong class=\"schema-faq-question\"><strong>Q5. Can ANOVA be used for two groups?<\/strong><\/strong> <p class=\"schema-faq-answer\">Technically yes, but a t-test is preferred for comparing two groups.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-1-pyps\/\">SSC CGL 2025 Tier 1 Question Papers, Shift-Wise PYPs, Download PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-air-70-strategy\/\">SSC CGL AIR 70 Strategy: Mock Analysis &amp; Prep Tips<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/how-did-air-1-use-oliveboard-to-crack-ssc-cgl\/\">How did AIR 1 use Oliveboard to crack SSC CGL 2026? Mock Data Analysis<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/number-puzzles-for-ssc\/\">Number Puzzle Questions for SSC Exams, Attempt Now<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/geometry\/\">Geometry Question Types, Formulas, Concepts, Short Tricks<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/active-passive-voice-for-ssc-exams\/\">Active and Passive Voice Questions for SSC Exams 2026, Attempt Now<\/a><\/li>\n<\/ul>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>In the SSC CGL Tier 2 Statistics Paper SSC JSO, Analysis of Variance (ANOVA) is an important topic under Statistical<\/p>\n","protected":false},"author":65,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,5217,10231,63],"tags":[],"class_list":["post-231164","post","type-post","status-publish","format-standard","hentry","category-articles","category-ssc-prep","category-ssc-railways","category-ssc-exams","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Analysis of Variance (ANOVA) for SSC CGL Tier 2, Paper 2<\/title>\n<meta name=\"description\" content=\"Understand ANOVA for SSC CGL JSO Paper 2 with concepts, formulas, assumptions, and examples of One-Way and Two-Way Classification for easy preparation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/analysis-of-variance-for-ssc-cgl\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Analysis of Variance (ANOVA) for SSC CGL Tier 2, Paper 2\" \/>\n<meta property=\"og:description\" content=\"In the SSC CGL Tier 2 Statistics Paper SSC JSO, Analysis of Variance (ANOVA) is an important topic under Statistical Inference. 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