{"id":1458,"date":"2021-01-01T16:31:41","date_gmt":"2021-01-01T16:31:41","guid":{"rendered":"https:\/\/tinspireapps.com\/blog\/?p=1458"},"modified":"2021-01-01T16:31:47","modified_gmt":"2021-01-01T16:31:47","slug":"tinspire-friedmann-and-other-nonparametric-tests-step-by-step","status":"publish","type":"post","link":"https:\/\/tinspireapps.com\/blog\/tinspire-friedmann-and-other-nonparametric-tests-step-by-step\/","title":{"rendered":"Tinspire: Friedmann and other Nonparametric Tests &#8211; Step by Step"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Performing Nonparametric Statistics Test can easily be performed &#8211; step by step &#8211; using the TiNspire CX calculator. Check out tests such as Wilcoxon, Wallis-Kruskal and the signed Rank Test at <a href=\"https:\/\/tinspireapps.com\/blog\/perform-non-parametric-tests-such-wilcoxon-kruskal-or-signed-rank-on-the-ti-nspire\/\">https:\/\/tinspireapps.com\/blog\/perform-non-parametric-tests-such-wilcoxon-kruskal-or-signed-rank-on-the-ti-nspire\/  <\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Another example is the Friedmann Test, we will use the data of a wine test at <a href=\"https:\/\/www.real-statistics.com\/anova-repeated-measures\/friedman-test\/\">https:\/\/www.real-statistics.com\/anova-repeated-measures\/friedman-test\/<\/a><br>Ho: No wine preference vs  Ha: some wine preference (white, red or rose) . Ranking the wine taste results as shown below we obtain a Test Statistic of 1.79 which results in a p-value of 0.408267 indicating no significant wine preference.   <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i1.wp.com\/www.real-statistics.com\/wp-content\/uploads\/2018\/08\/friedmans-test-excel.png?ssl=1\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Here is the same Friedmann Test performed using the TiNspire&#8217;s Statistics Made Easy app at <a href=\"https:\/\/www.TiNspireapps.com\/?a=SPME\">https:\/\/www.TiNspireapps.com\/?a=SPME<\/a> . First we enter the wine taste data as 3 rows, the ranks are shown to the right accounting for ties as well.  <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"510\" src=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image.png\" alt=\"\" class=\"wp-image-1459\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image.png 678w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-300x226.png 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"> Next , we compute the sum of ranks and their averages. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"510\" src=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-1.png\" alt=\"\" class=\"wp-image-1460\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-1.png 678w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-1-300x226.png 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, squaring the ranks and adding them yields 1749.5. The Test Statistics uses that, the number of tasters and the number wines and comes out to be  1.79167 <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"510\" src=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-2.png\" alt=\"\" class=\"wp-image-1461\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-2.png 678w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-2-300x226.png 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">   <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"510\" src=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-3.png\" alt=\"\" class=\"wp-image-1462\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-3.png 678w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-3-300x226.png 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Using the Chi Squared Distribution yields the p-value of 0.40827 which is not below 5% and we thus fail to reject our above stated Null-Hypotheses Ho : <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"678\" height=\"510\" src=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-4.png\" alt=\"\" class=\"wp-image-1463\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-4.png 678w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image-4-300x226.png 300w\" sizes=\"auto, (max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">   <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Performing Nonparametric Statistics Test can easily be performed &#8211; step by step &#8211; using the TiNspire CX calculator. Check out tests such as Wilcoxon, Wallis-Kruskal and the signed Rank Test at https:\/\/tinspireapps.com\/blog\/perform-non-parametric-tests-such-wilcoxon-kruskal-or-signed-rank-on-the-ti-nspire\/ Another example is the Friedmann Test, we will use the data of a wine test at https:\/\/www.real-statistics.com\/anova-repeated-measures\/friedman-test\/Ho: No wine preference vs Ha: some &hellip; <a href=\"https:\/\/tinspireapps.com\/blog\/tinspire-friedmann-and-other-nonparametric-tests-step-by-step\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Tinspire: Friedmann and other Nonparametric Tests &#8211; Step by Step&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":1459,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[474,473,25],"class_list":["post-1458","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-statistics","tag-friedmann-test","tag-nonparametric-test","tag-tinspire"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Tinspire: Friedmann and other Nonparametric Tests - Step by Step - www.TiNspireApps.com - Stepwise Math &amp; Science Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/tinspireapps.com\/blog\/tinspire-friedmann-and-other-nonparametric-tests-step-by-step\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tinspire: Friedmann and other Nonparametric Tests - Step by Step - www.TiNspireApps.com - Stepwise Math &amp; Science Solutions\" \/>\n<meta property=\"og:description\" content=\"Performing Nonparametric Statistics Test can easily be performed &#8211; step by step &#8211; using the TiNspire CX calculator. Check out tests such as Wilcoxon, Wallis-Kruskal and the signed Rank Test at https:\/\/tinspireapps.com\/blog\/perform-non-parametric-tests-such-wilcoxon-kruskal-or-signed-rank-on-the-ti-nspire\/ Another example is the Friedmann Test, we will use the data of a wine test at https:\/\/www.real-statistics.com\/anova-repeated-measures\/friedman-test\/Ho: No wine preference vs Ha: some &hellip; Continue reading &quot;Tinspire: Friedmann and other Nonparametric Tests &#8211; Step by Step&quot;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/tinspireapps.com\/blog\/tinspire-friedmann-and-other-nonparametric-tests-step-by-step\/\" \/>\n<meta property=\"og:site_name\" content=\"www.TiNspireApps.com - Stepwise Math &amp; Science Solutions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/TiNspireMathApps\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-01-01T16:31:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-01-01T16:31:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2021\/01\/image.png\" \/>\n\t<meta property=\"og:image:width\" content=\"678\" \/>\n\t<meta property=\"og:image:height\" content=\"510\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"tinspireguru\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@TiMathApps\" \/>\n<meta name=\"twitter:site\" content=\"@TiMathApps\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"tinspireguru\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/tinspire-friedmann-and-other-nonparametric-tests-step-by-step\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/tinspire-friedmann-and-other-nonparametric-tests-step-by-step\\\/\"},\"author\":{\"name\":\"tinspireguru\",\"@id\":\"https:\\\/\\\/tinspireapps.com\\\/blog\\\/#\\\/schema\\\/person\\\/0f5ea3377084e1d66b529ceb30d459af\"},\"headline\":\"Tinspire: Friedmann and other Nonparametric Tests &#8211; 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