{"id":2553,"date":"2024-10-09T09:44:52","date_gmt":"2024-10-09T07:44:52","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=2553"},"modified":"2024-10-23T16:47:07","modified_gmt":"2024-10-23T14:47:07","slug":"03-population","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/03-population\/","title":{"rendered":"Population"},"content":{"rendered":"<p>Ellistat <a href=\"https:\/\/ellistat.com\/en\/data-analysis-solutions\/\">Data Analysis<\/a> offers a complete range of <strong>statistical testing<\/strong> parametric and non-parametric tests to compare a population of quantitative data. The purpose of these statistical tests is to compare two or more populations, either in terms of positions (such as means or medians) or variations (variances).<\/p>\n\n\n\n<p>Hypothesis testing can be divided into two main categories:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Parametric tests (in orange): These statistical tests make assumptions about the parameters of the population distribution, such as mean and variance, and include examples such as Student's t-test, ANOVA and the linear regression test.<\/li>\n\n\n\n<li>Non-parametric tests (green): These are statistical tests that make no assumptions about the distribution of population data, and include examples such as the Wilcoxon, Kruskal-Wallis or Friedman test.<\/li>\n<\/ul>\n\n\n\n<p>The table below summarizes all the statistical tests available in Ellistat Data Analysis:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"984\" height=\"440\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-43.png\" alt=\"\" class=\"wp-image-2554\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-43.png 984w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-43-300x134.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-43-768x343.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-43-18x8.png 18w\" sizes=\"auto, (max-width: 984px) 100vw, 984px\" \/><\/figure>\n<\/div>\n\n\n<p>The following sections describe the statistical tests that can be performed with Ellistat Data Analysis:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. Statistical tests for comparing averages<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Comparison of averages:<\/h3>\n\n\n\n<p>The following examples summarize the types of comparisons made when comparing averages.<\/p>\n\n\n\n<p>The links below contain the data used for the various mean-comparison analyses proposed by Ellistat Data Analysis. Let's take the following data as an example<\/p>\n\n\n\n<p><a href=\"https:\/\/www.notion.so\/Independent-Data-Donn-es-ind-pendantes-dac47d220e4849539713c494536c8bae?pvs=21\">Independent Data \ud83c\uddfa\ud83c\uddf8\/ Donn\u00e9es ind\u00e9pendantes\ud83c\uddeb\ud83c\uddf7&nbsp;<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.notion.so\/Paired-Data-Donn-es-appari-es-b4d9716ead7e41ebba60342898325fab?pvs=21\">Paired Data \ud83c\uddfa\ud83c\uddf8\/ Donn\u00e9es appari\u00e9es \ud83c\uddeb\ud83c\uddf7&nbsp;<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1: Comparing an average with a theoretical value :<\/h3>\n\n\n\n<p>Perform a 1T test, to compare an average with a theoretical value.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44-1024x524.png\" alt=\"\" class=\"wp-image-2555\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44-1536x786.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-44.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Enter the quantitative data from the example in the grid. The aim of this study is to compare the average force of supplier A with 5 N.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>Select the column with quantitative data in Y.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 4<\/strong>The significance result (displayed on the right) with the various statistics below. (the difference between the mean and the theoretical value is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is significant). \ud83d\udcdd: The content of&nbsp;<strong>zone 4<\/strong>depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"532\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45-1024x532.png\" alt=\"\" class=\"wp-image-2556\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45-1024x532.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45-300x156.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45-768x399.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45-1536x798.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-45.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group has-very-light-gray-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Be sure to check the test's prerequisites: data normality and absence of outliers.<\/p>\n\n\n\n<ol class=\"wp-block-list has-very-light-gray-background-color has-background\">\n<li>If these conditions are met, the \u2705 logo appears on the top left-hand side of the report.<\/li>\n\n\n\n<li>If one of these conditions is not met, the \u26a0\ufe0f APP logo appears in the top left-hand corner of the report.<\/li>\n<\/ol>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"100\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-46.png\" alt=\"\" class=\"wp-image-2557\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-46.png 590w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-46-300x51.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-46-18x3.png 18w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"576\" height=\"98\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-47.png\" alt=\"\" class=\"wp-image-2558\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-47.png 576w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-47-300x51.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-47-18x3.png 18w\" sizes=\"auto, (max-width: 576px) 100vw, 576px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Example 2: Comparing two averages <\/h3>\n\n\n\n<p>Perform a 2T test to compare two different averages.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put the quantitative data from the example in the grid. The aim of this study is to compare the average strengths of suppliers A and B.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>If the data is in 2 different columns, choose columns A and B in Y. If the data are stacked (a supplier column in addition to a strength column), choose strength as Y and supplier as X.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"754\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48-1024x754.png\" alt=\"\" class=\"wp-image-2559\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48-1024x754.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48-300x221.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48-768x565.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48-1536x1130.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48-16x12.png 16w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-48.png 1621w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>In the&nbsp;<strong>zone 4.<\/strong>&nbsp;. the significance result (is displayed on the right) with the various statistics below. (the difference between the two means A and B is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is not significant). \ud83d\udcdd: The contents of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"577\" height=\"327\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-49.png\" alt=\"\" class=\"wp-image-2560\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-49.png 577w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-49-300x170.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-49-18x10.png 18w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group has-very-light-gray-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Be sure to check the test's prerequisites: data normality, absence of outliers and equality of variances.<\/p>\n\n\n\n<ul class=\"wp-block-list has-very-light-gray-background-color has-background\">\n<li>If these conditions are met, the \u2705 logo appears on the top left-hand side of the report.<\/li>\n\n\n\n<li>If one of these conditions is not met, the \u26a0\ufe0f APP logo appears in the top left-hand corner of the report.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"573\" height=\"99\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-50.png\" alt=\"\" class=\"wp-image-2561\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-50.png 573w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-50-300x52.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-50-18x3.png 18w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"578\" height=\"117\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-51.png\" alt=\"\" class=\"wp-image-2562\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-51.png 578w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-51-300x61.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-51-18x4.png 18w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Example 3: Compare three or more averages <\/h3>\n\n\n\n<p>Perform an ANOVA (Analysis of Variance) test, to compare 3 or more averages.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Enter the quantitative data from the example in the grid. The aim of this study is to compare the average strengths of suppliers A, B and C.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>Choose columns A, B and C in Y if the data are in 3 different columns. or if the data are stacked (a supplier column in addition to a strength column). choose strength as Y and supplier as X.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"746\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52-1024x746.png\" alt=\"\" class=\"wp-image-2563\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52-1024x746.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52-300x219.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52-768x560.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52-1536x1119.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52-16x12.png 16w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-52.png 1648w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>In the&nbsp;<strong>zone 4.<\/strong>&nbsp;. the significance result (is displayed on the right) with the various statistics below. (the difference between means A, B and C is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is not significant). \ud83d\udcdd: The content of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"576\" height=\"346\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-53.png\" alt=\"\" class=\"wp-image-2564\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-53.png 576w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-53-300x180.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-53-18x12.png 18w\" sizes=\"auto, (max-width: 576px) 100vw, 576px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group has-very-light-gray-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Be sure to check the test's prerequisites: data normality, absence of outliers and equality of variances.<\/p>\n\n\n\n<ul class=\"wp-block-list has-very-light-gray-background-color has-background\">\n<li>If these conditions are met, the \u2705 logo appears on the top left-hand side of the report.<\/li>\n\n\n\n<li>If one of these conditions is not met, the \u26a0\ufe0f APP logo appears in the top left-hand corner of the report.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"577\" height=\"98\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-54.png\" alt=\"\" class=\"wp-image-2565\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-54.png 577w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-54-300x51.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-54-18x3.png 18w\" sizes=\"auto, (max-width: 577px) 100vw, 577px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"575\" height=\"103\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-55.png\" alt=\"\" class=\"wp-image-2566\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-55.png 575w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-55-300x54.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-55-18x3.png 18w\" sizes=\"auto, (max-width: 575px) 100vw, 575px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Example 4: Paired data<\/h3>\n\n\n\n<p>In the context of statistics, paired data (or matched data) refers to data sets where observations are collected in pairs. Each pair of observations is usually linked in a specific way, enabling direct comparison of the two values within each pair.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Compare average hardness before and after heat treatment.<\/li>\n\n\n\n<li>Compare white blood cell counts before, after the first dose of treatment and after the second dose of treatment.<\/li>\n<\/ul>\n\n\n\n<p>To compare the means of paired data.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"387\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-56-1024x387.png\" alt=\"\" class=\"wp-image-2567\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-56-1024x387.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-56-300x113.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-56-768x290.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-56-18x7.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-56.png 1495w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>Ellistat offers two suitable tests for comparing the means of paired data:<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>T-test<\/strong>&nbsp;for paired data for two averages.<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>ANOVA<\/strong>&nbsp;for paired data for two or more averages.<\/p>\n\n\n\n<p><a href=\"https:\/\/www.notion.so\/Paired-Data-Donn-es-appari-es-e939f25552a244ed884a1188b17a5a4c?pvs=21\">Paired Data \ud83c\uddfa\ud83c\uddf8\/ Donn\u00e9es appari\u00e9es \ud83c\uddeb\ud83c\uddf7&nbsp;<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. Statistical tests to compare standard deviations<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Comparison of standard deviations:<\/h3>\n\n\n\n<p>The following examples summarize the types of comparisons made to compare standard deviations.<\/p>\n\n\n\n<p>The links below contain the data used for the various standard deviation analyses proposed by Ellistat Data Analysis. Let's take the following data as an example:<\/p>\n\n\n\n<p><a href=\"https:\/\/www.notion.so\/Independent-Data-Donn-es-ind-pendantes-dac47d220e4849539713c494536c8bae?pvs=21\">Independent Data \ud83c\uddfa\ud83c\uddf8\/ Donn\u00e9es ind\u00e9pendantes\ud83c\uddeb\ud83c\uddf7&nbsp;<\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1: Comparing a standard deviation with a theoretical value :<\/h3>\n\n\n\n<p>Create a&nbsp;<strong>Chi-2 test<\/strong>to compare a standard deviation with a theoretical value.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57-1024x524.png\" alt=\"\" class=\"wp-image-2568\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57-1536x785.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-57.png 2001w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Enter the quantitative data from the example in the grid. The objective of this study is to compare the standard deviation of the force of supplier A with 1 N.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>Select the column with quantitative data in Y.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 4<\/strong>Put in the theoretical value . the significance result (is displayed on the right) with the different statistics below. (the difference between the standard deviation and the theoretical value is significant if the P value is less than 0.05. In the following case, we can conclude that the deviation is significant). \ud83d\udcdd: The content of&nbsp;<strong>zone 4<\/strong>depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"564\" height=\"281\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-58.png\" alt=\"\" class=\"wp-image-2569\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-58.png 564w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-58-300x149.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-58-18x9.png 18w\" sizes=\"auto, (max-width: 564px) 100vw, 564px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group has-very-light-gray-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Be sure to check the test's prerequisites: data normality and absence of outliers.<\/p>\n\n\n\n<ul class=\"wp-block-list has-very-light-gray-background-color has-background\">\n<li>If these conditions are met, the \u2705 logo appears on the top left-hand side of the report.<\/li>\n\n\n\n<li>If one of these conditions is not met, the \u26a0\ufe0f APP logo appears in the top left-hand corner of the report.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"584\" height=\"90\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-59.png\" alt=\"\" class=\"wp-image-2570\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-59.png 584w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-59-300x46.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-59-18x3.png 18w\" sizes=\"auto, (max-width: 584px) 100vw, 584px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"569\" height=\"96\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-60.png\" alt=\"\" class=\"wp-image-2571\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-60.png 569w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-60-300x51.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-60-18x3.png 18w\" sizes=\"auto, (max-width: 569px) 100vw, 569px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Example 2: Comparing two standard deviations.<\/h3>\n\n\n\n<p>Ellistat offers 2 tests to compare standard deviations:<\/p>\n\n\n\n<p>\u21d2<strong>Fischer test<\/strong>to compare two different standard deviations.<\/p>\n\n\n\n<p>\u21d2<strong>The Levene test<\/strong>to compare two or more standard deviations.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put the quantitative data from the example in the grid. The aim of this study is to compare the standard deviations of the strengths of suppliers A and B.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>If the data is in 2 different columns, choose columns A and B in Y. If the data are stacked (a supplier column in addition to a strength column), choose strength as Y and supplier as X.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61-1024x524.png\" alt=\"\" class=\"wp-image-2572\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61-1536x785.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-61.png 2001w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>In the&nbsp;<strong>zone 4.<\/strong>&nbsp;. the significance result (is displayed on the right) with the various statistics below. (The difference between the two standard deviations A and B is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is not significant). \ud83d\udcdd: The content of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"573\" height=\"557\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-62.png\" alt=\"\" class=\"wp-image-2573\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-62.png 573w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-62-300x292.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-62-12x12.png 12w\" sizes=\"auto, (max-width: 573px) 100vw, 573px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group has-very-light-gray-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Be sure to check the test prerequisites:<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\u21d2&nbsp;<strong>Fischer test :<\/strong>Data normality and absence of outliers.<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\u21d2&nbsp;<strong>Levene test:<\/strong>Absence of outliers.<\/p>\n\n\n\n<ul class=\"wp-block-list has-very-light-gray-background-color has-background\">\n<li>If these conditions are met, the \u2705 logo appears on the top left-hand side of the report.<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list has-very-light-gray-background-color has-background\">\n<li>If one of these conditions is not met, the \u26a0\ufe0f APP logo appears in the top left-hand corner of the report.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"96\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-63.png\" alt=\"\" class=\"wp-image-2574\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-63.png 580w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-63-300x50.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-63-18x3.png 18w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"586\" height=\"82\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-64.png\" alt=\"\" class=\"wp-image-2575\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-64.png 586w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-64-300x42.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-64-18x3.png 18w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">Example 3: Comparing three or more standard deviations <\/h3>\n\n\n\n<p>Ellistat offers 2 tests to compare standard deviations:<\/p>\n\n\n\n<p>\u21d2<strong>The Bartlett test<\/strong>to compare two or more standard deviations.<\/p>\n\n\n\n<p>\u21d2<strong>The Levene test<\/strong>to compare two or more standard deviations.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put the quantitative data from the example in the grid. The aim of this study is to compare the standard deviations of the strengths of suppliers A, B and C.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>Choose columns A, B and C in Y if the data are in 3 different columns. or if the data are stacked (a supplier column in addition to a strength column). choose strength as Y and supplier as X.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65-1024x524.png\" alt=\"\" class=\"wp-image-2576\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65-1536x785.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-65.png 2001w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>In the&nbsp;<strong>zone 4.<\/strong>&nbsp;. the significance result (is displayed on the right) with the various statistics below. (the difference between the A, B and C standard deviations is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is not significant). \ud83d\udcdd: The content of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"567\" height=\"516\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-66.png\" alt=\"\" class=\"wp-image-2577\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-66.png 567w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-66-300x273.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-66-13x12.png 13w\" sizes=\"auto, (max-width: 567px) 100vw, 567px\" \/><\/figure>\n<\/div>\n\n\n<div class=\"wp-block-group has-very-light-gray-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Be sure to check the test prerequisites:<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\u21d2&nbsp;<strong>Bartlett test:<\/strong> Data normality and absence of outliers.<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\u21d2&nbsp;<strong>Levene test:<\/strong> Absence of outliers.<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">If these conditions are met, the \u2705 logo appears on the top left-hand side of the report.<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">If one of these conditions is not met, the \u26a0\ufe0f APP logo appears in the top left-hand corner of the report.<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"139\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67-1024x139.png\" alt=\"\" class=\"wp-image-2578\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67-1024x139.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67-300x41.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67-768x104.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67-1536x208.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67-18x2.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-67.png 1919w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"155\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68-1024x155.png\" alt=\"\" class=\"wp-image-2579\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68-1024x155.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68-300x46.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68-768x117.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68-1536x233.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68-18x3.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-68.png 1930w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">3. Statistical tests for comparing medians<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Comparison of medians:<\/h3>\n\n\n\n<p>The following examples summarize the types of comparisons made when comparing medians.<\/p>\n\n\n\n<p>The links below contain the data used for the different median comparison analyses proposed by Ellistat Data Analysis. Let's take the following data as an example:<\/p>\n\n\n\n<p><a href=\"https:\/\/www.notion.so\/Independent-Data-Donn-es-ind-pendantes-73c9b33aa74542a3bda125d6dc0db861?pvs=21\">Independent Data \ud83c\uddfa\ud83c\uddf8\/ Donn\u00e9es ind\u00e9pendantes\ud83c\uddeb\ud83c\uddf7<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.notion.so\/Paired-Data-Donn-es-appari-es-dd0a73e2055c431ab40fae753e69080f?pvs=21\">Paired Data \ud83c\uddfa\ud83c\uddf8\/ Donn\u00e9es appari\u00e9es \ud83c\uddeb\ud83c\uddf7<\/a><\/p>\n\n\n\n<p>Several analyses can be performed on this dataset.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1: Comparing a median with a theoretical value :<\/h3>\n\n\n\n<p>Ellistat offers two non-parametric tests to compare the median with a theoretical value.<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>Sign test<\/strong><\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>Wilcoxon test<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69-1024x524.png\" alt=\"\" class=\"wp-image-2580\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69-1536x785.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-69.png 2001w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Put in the quantitative data grid of the example. The aim of this study is to compare the Median force of supplier A with 5 N.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>Select the column with quantitative data in Y.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 4<\/strong>The significance result (displayed on the right) with the various statistics below. (the difference between the median and the theoretical value is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is significant).<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"569\" height=\"564\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-70.png\" alt=\"\" class=\"wp-image-2581\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-70.png 569w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-70-300x297.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-70-150x150.png 150w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-70-12x12.png 12w\" sizes=\"auto, (max-width: 569px) 100vw, 569px\" \/><\/figure>\n<\/div>\n\n\n<p>\ud83d\udcdd: The contents of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>. To properly select the comparison of a median with a theoretical value, choose the non-parametric test. see following figure.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"845\" height=\"1024\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-845x1024.png\" alt=\"\" class=\"wp-image-2582\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-845x1024.png 845w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-247x300.png 247w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-768x931.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-1267x1536.png 1267w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-1689x2048.png 1689w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71-10x12.png 10w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-71.png 2000w\" sizes=\"auto, (max-width: 845px) 100vw, 845px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Please note that all median comparison tests in Ellistat are non-parametric, so no prerequisites are required to use the results.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 2: Compare two medians.<\/h3>\n\n\n\n<p>Ellistat offers 3 tests to compare two different medians.<\/p>\n\n\n\n<p>\u21d2&nbsp;&nbsp;<strong>Mann Withney Test:<\/strong>&nbsp;dapted for comparison of independent data<\/p>\n\n\n\n<p>\u21d2&nbsp;&nbsp;<strong>Sign test :<\/strong>&nbsp;adapted for matched data<\/p>\n\n\n\n<p>\u21d2&nbsp;&nbsp;<strong>Wilcoxon test:<\/strong>&nbsp;adapted for matched data<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put the quantitative data from the example in the grid. The aim of this study is to compare the medians of the strengths of suppliers A and B.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>If the data is in 2 different columns, choose columns A and B in Y. If the data are stacked (a supplier column in addition to a strength column), choose strength as Y and supplier as X.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72-1024x524.png\" alt=\"\" class=\"wp-image-2583\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72-1536x785.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-72.png 2001w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>In the&nbsp;<strong>zone 4.<\/strong>&nbsp;. the significance result (is displayed on the right) with the various statistics below. (The difference between the two medians A and B is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is not significant).<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"568\" height=\"268\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-73.png\" alt=\"\" class=\"wp-image-2584\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-73.png 568w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-73-300x142.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-73-18x8.png 18w\" sizes=\"auto, (max-width: 568px) 100vw, 568px\" \/><\/figure>\n<\/div>\n\n\n<p>\ud83d\udcdd: The contents of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>. To select the comparison of two medians, choose the non-parametric test. see next figure.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"608\" height=\"529\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-74.png\" alt=\"\" class=\"wp-image-2585\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-74.png 608w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-74-300x261.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-74-14x12.png 14w\" sizes=\"auto, (max-width: 608px) 100vw, 608px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Please note that all median comparison tests in Ellistat are non-parametric. So no prerequisite is required to exploit the results.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 3: Compare three or more medians .<\/h3>\n\n\n\n<p>Ellistat offers two non-parametric tests to compare three or more medians.<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>Kruskal-Walis test :<\/strong>&nbsp;adapted to independent data<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>Friedman test:<\/strong>&nbsp;adapted to matched data<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Put the quantitative data from the example in the grid. The aim of this study is to compare the medians of the strengths of suppliers A, B and C.<\/li>\n\n\n\n<li>Click on the \"Inferential statistics\" menu.<\/li>\n\n\n\n<li>In the&nbsp;<strong>zone 1<\/strong>Choose columns A, B and C in Y if the data are in 3 different columns. or if the data are stacked (a supplier column in addition to a strength column). choose strength as Y and supplier as X.<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 2,<\/strong>&nbsp;choose your data type. By default, if the column contains qualitative values, Ellistat will propose \"Proportion\" only, but if the data is quantitative, Ellistat will propose both \"proportion\" and \"population\" types. \ud83d\udcdd: choose \"population\".<\/li>\n\n\n\n<li>In&nbsp;<strong>zone 3<\/strong>to obtain the graphics selected in zone 2.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"524\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75-1024x524.png\" alt=\"\" class=\"wp-image-2586\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75-1024x524.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75-300x153.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75-768x393.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75-1536x785.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-75.png 2001w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>In the&nbsp;<strong>zone 4.<\/strong>&nbsp;. the significance result (is displayed on the right) with the various statistics below. (the difference between the medians A, B and C is significant if the P value is less than 0.05. In the following case, we can conclude that the difference is not significant).<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"496\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1-1024x496.png\" alt=\"\" class=\"wp-image-2589\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1-1024x496.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1-300x145.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1-768x372.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1-1536x743.png 1536w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1-18x9.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-76-1.png 2000w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>\ud83d\udcdd: The contents of&nbsp;<strong>zone 4<\/strong>&nbsp;depends on the type of data selected in&nbsp;<strong>Zone 2<\/strong>. To select the comparison of several medians, choose the non-parametric test. see next figure.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"586\" height=\"668\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-77.png\" alt=\"\" class=\"wp-image-2590\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-77.png 586w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-77-263x300.png 263w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-77-11x12.png 11w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-very-light-gray-background-color has-background\"> \ud83d\udca1 Please note that all median comparison tests in Ellistat are non-parametric tests. So no prerequisite is required to exploit the results.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 4: Paired data<\/h3>\n\n\n\n<p>In the context of statistics, paired data (or matched data) refers to data sets where observations are collected in pairs. Each pair of observations is usually linked in a specific way, enabling direct comparison of the two values within each pair.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Compare median hardness before and after heat treatment.<\/li>\n\n\n\n<li>Compare white blood cell counts before, after the first dose of treatment and after the second dose of treatment.<\/li>\n<\/ul>\n\n\n\n<p>To compare the medians of paired data.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"387\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-78-1024x387.png\" alt=\"\" class=\"wp-image-2591\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-78-1024x387.png 1024w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-78-300x113.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-78-768x290.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-78-18x7.png 18w, https:\/\/ellistat.com\/wp-content\/uploads\/Untitled-78.png 1495w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p>Ellistat offers 3 suitable tests for comparing the medians of paired data:<\/p>\n\n\n\n<p>\u21d2\u21d2&nbsp;<strong>Sign test :<\/strong>&nbsp;suitable for comparing two medians.<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>Wilcoxon test<\/strong>&nbsp;suitable for comparing two medians.<\/p>\n\n\n\n<p>\u21d2&nbsp;<strong>Friedman test:<\/strong>&nbsp;suitable for comparing 3 or more medians<\/p>\n\n\n\n<p class=\"has-very-light-gray-background-color has-background\">\ud83d\udca1 Please note that all the median comparison tests in Ellistat are non-parametric tests. No prerequisite is therefore required to exploit the results.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"_acf_changed":false},"menu-guide-dutilisateur":[23],"class_list":["post-2553","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-5-statistiques-inferentielles"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Population - Ellistat<\/title>\n<meta name=\"description\" content=\"Tests param\u00e9triques vs non param\u00e9triques ? Quel test est adapt\u00e9 pour analyser ma population ? 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