{"id":16215,"date":"2023-08-28T14:04:59","date_gmt":"2023-08-28T14:04:59","guid":{"rendered":"https:\/\/officetuts.net\/excel\/?p=16215"},"modified":"2024-02-19T14:52:05","modified_gmt":"2024-02-19T14:52:05","slug":"moods-median-test-in-excel","status":"publish","type":"post","link":"https:\/\/officetuts.net\/excel\/formulas\/moods-median-test-in-excel\/","title":{"rendered":"Mood&#8217;s Median Test in Excel\u00a0"},"content":{"rendered":"\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-91c4a1a8-5268-45ff-bbdd-ba952959981a\" href=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/Moods-Median-Test-in-Excel.xlsx\">Moods-Median-Test-in-Excel<\/a><a href=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/Moods-Median-Test-in-Excel.xlsx\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-91c4a1a8-5268-45ff-bbdd-ba952959981a\">Download File<\/a><\/div>\n\n\n\n<p>Although Excel has many built-in formulas that fall under many categories: statistical, mathematical, logical, and many more, there are some things that cannot be automatically calculated, but we have to do things manually.<\/p>\n\n\n\n<p>Such is the case with <strong>Mood\u2019s Median Test<\/strong>. This test is a <strong>non-parametric statistical test<\/strong> that is used to compare the medians of two or more independent samples. It is used mainly when the data that we have <strong>does not meet the assumptions of parametric tests<\/strong>, such as the t-test or ANOVA.<\/p>\n\n\n\n<p>In the example below, we will show how this test can be performed in Excel.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Mood\u2019s Median Test in Excel<\/h2>\n\n\n\n<p>For our example, we will use two separate data sets, that will be located in <strong>columns A and B<\/strong>. They will show the <strong>grades of students from class A and class B<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"194\" height=\"341\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-1.png\" alt=\"\" class=\"wp-image-16216\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-1.png 194w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-1-171x300.png 171w\" sizes=\"(max-width: 194px) 100vw, 194px\" \/><\/figure>\n\n\n\n<p>Now we will take several steps for Mood\u2019s Median test.<\/p>\n\n\n\n<ol>\n<li><strong>Calculate MEDIAN<\/strong><\/li>\n<\/ol>\n\n\n\n<p>The first thing that we need to do is to <strong>calculate the medians for both classes<\/strong>. We will insert the data in <strong>columns C and D<\/strong>. In <strong>cell C2<\/strong>, our formula will be:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=MEDIAN(A3:A12)<\/code><\/pre>\n\n\n\n<p>And we will calculate the <strong>median for column B numbers in cell D2<\/strong>. This is what we will end up with:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"470\" height=\"438\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-2.png\" alt=\"\" class=\"wp-image-16217\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-2.png 470w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-2-300x280.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><\/figure>\n\n\n\n<ol start=\"2\">\n<li><strong>Calculate Deviation<\/strong><\/li>\n<\/ol>\n\n\n\n<p>For the second step, we calculate the absolute <strong>difference between the two medians<\/strong> by using the following formula (located in <strong>cell E2<\/strong>):<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=ABS(C2-D2)<\/code><\/pre>\n\n\n\n<p>And will get <strong>number 5<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"438\" height=\"393\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-3.png\" alt=\"\" class=\"wp-image-16218\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-3.png 438w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-3-300x269.png 300w\" sizes=\"(max-width: 438px) 100vw, 438px\" \/><\/figure>\n\n\n\n<ol start=\"3\">\n<li><strong>Rank the data<\/strong><\/li>\n<\/ol>\n\n\n\n<p>We need to rank our data, and the best way to do so is by using <strong>RANK.EQ formula<\/strong>. We will list all of our data in <strong>column F<\/strong>, and then will insert the formula:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=RANK.EQ(F2,$F$2:$F$21)<\/code><\/pre>\n\n\n\n<p>In <strong>cell G2<\/strong>, and will drag this formula till the end of the list:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"597\" height=\"614\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-4.png\" alt=\"\" class=\"wp-image-16219\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-4.png 597w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-4-292x300.png 292w\" sizes=\"(max-width: 597px) 100vw, 597px\" \/><\/figure>\n\n\n\n<ol start=\"4\">\n<li><strong>Sum of Ranks<\/strong><\/li>\n<\/ol>\n\n\n\n<p>For the next thing, we need to <strong>sum ranks for both classes<\/strong>. As we are aware that the ranks for <strong>class A are located in range G2:G11<\/strong>, we will sum these cells and input them in <strong>cell H2<\/strong>. We will do the same thing for <strong>class B<\/strong>, and we will include the <strong>range G12:G21<\/strong>. The results will be <strong>115 for class A<\/strong>, and <strong>89 for class B<\/strong>, respectfully:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"753\" height=\"604\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-5.png\" alt=\"\" class=\"wp-image-16220\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-5.png 753w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-5-300x241.png 300w\" sizes=\"(max-width: 753px) 100vw, 753px\" \/><\/figure>\n\n\n\n<ol start=\"5\">\n<li><strong>Calculating Test Statistics<\/strong><\/li>\n<\/ol>\n\n\n\n<p>In another cell, <strong>cell J2<\/strong>, we will calculate the test statistic using the following formula:<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>=((H2-I2)^2)\/(H2+I2)<\/code><\/pre>\n\n\n\n<p>Which will look at the sum of ranks for <strong>class A (cell H2)<\/strong>, and the sum of ranks for <strong>class B (cell I2)<\/strong>. The result that we will get will be <strong>3.31<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"838\" height=\"609\" src=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-6.png\" alt=\"\" class=\"wp-image-16221\" srcset=\"https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-6.png 838w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-6-300x218.png 300w, https:\/\/officetuts.net\/excel\/wp-content\/uploads\/sites\/2\/2023\/08\/word-image-16215-6-768x558.png 768w\" sizes=\"(max-width: 838px) 100vw, 838px\" \/><\/figure>\n\n\n\n<ol start=\"6\">\n<li><strong>Compare to Critical Value<\/strong><\/li>\n<\/ol>\n\n\n\n<p>We must look at the critical value from a <strong>Chi-Squre distribution table<\/strong> with <strong>1 degree of freedom<\/strong> and your chosen <strong>significance level (for example, 0.05)<\/strong>. The <strong>critical importance might be around 3.841<\/strong>.<\/p>\n\n\n\n<ol start=\"7\">\n<li><strong>Interpretation of Results<\/strong><\/li>\n<\/ol>\n\n\n\n<p>The result obtained from the Mood&#8217;s Median Test helps us determine whether there is a statistically significant difference between the medians of the two groups. In our case, the groups are Class A and Class B, and we are comparing their student grades. Here&#8217;s what the result could indicate based on the test statistic and the critical value:<\/p>\n\n\n\n<ul>\n<li><strong>Null Hypothesis (H0):<\/strong> There is <strong>no significant difference<\/strong> between the medians of the two groups (Class A and Class B).<\/li>\n\n\n\n<li><strong>Alternative Hypothesis (H1):<\/strong> There <strong>is a significant difference<\/strong> between the medians of the two groups.<\/li>\n<\/ul>\n\n\n\n<p>In our example, the <strong>calculated test statistic (3.31)<\/strong> <strong>is smaller than the critical value (3.841)<\/strong>. What this means to us is that <strong>we do not have enough evidence<\/strong> <strong>to reject the null hypothesis<\/strong>. Therefore, the final result based on the data that we have collected, is that <strong>we cannot conclude a significant difference<\/strong> in <strong>medians between Class A and Class B at the chosen significance level<\/strong>.<\/p>\n\n\n\n<p>The example shown here is simplified, and any real-world analysis would mean that we will probably have to reconsider assumptions, data quality, and the context in which we are working. <strong>Excel might not be the best tool for Mood\u2019s Median Test<\/strong>, and some other statistical tools can probably help us more.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Although Excel has many built-in formulas that fall under many categories: statistical, mathematical, logical, and many more, there are some things that cannot&#8230;<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23],"tags":[170],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mood&#039;s Median Test in Excel\u00a0<\/title>\n<meta name=\"description\" content=\"Learn how to perform Mood\u2019s Median Test in Excel and compare the medians of two or more independent samples. 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