{"id":116054,"date":"2022-10-17T16:00:45","date_gmt":"2022-10-17T16:00:45","guid":{"rendered":"https:\/\/staging.wingify.com\/blog\/type-1-and-type-2-errors\/"},"modified":"2026-09-15T14:15:31","modified_gmt":"2026-09-15T08:45:31","slug":"type-1-and-type-2-errors","status":"publish","type":"post","link":"https:\/\/wingify.com\/blog\/type-1-and-type-2-errors\/","title":{"rendered":"Statistics: What are Type 1 and Type 2 Errors?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Statistical hypothesis testing implies that no test is ever 100% certain: that\u2019s because <strong>we rely on probabilities to experiment<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">When online marketers and scientists run hypothesis tests, they\u2019re both looking for <strong><a href=\"https:\/\/wingify.com\/blog\/statistical-significance\/\" target=\"_blank\" rel=\"noopener\">statistically relevant results<\/a><\/strong>. This means that the results of their tests have to be true within a range of probabilities (typically 95%).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Even though hypothesis tests are meant to be reliable, there are two types of errors that can still occur.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">These errors are known as <strong><a href=\"https:\/\/wingify.com\/glossary\/type-1-type-2-errors\/\" target=\"_blank\" rel=\"noopener\">type 1 and type 2 errors<\/a><\/strong> (or type i and type ii errors).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s dive in and understand what type 1 and type 2 errors are and the difference between the two.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/static.wingify.com\/gcp\/uploads\/abtasty\/type-1-2-errors.png\" alt=\"Type 1 and Type 2 Errors explained\" style=\"aspect-ratio:1.1428571428571428;width:552px;height:auto\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Understanding Type I Errors<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Type 1 errors<\/strong> \u2013 often assimilated with false positives \u2013 happen in hypothesis testing <strong>when the null hypothesis is true but rejected<\/strong>. <em>The null hypothesis is a general statement or default position that there is no relationship between two measured phenomena<\/em>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Simply put, type 1 errors are \u201cfalse positives\u201d \u2013 they happen when the tester validates a statistically significant difference even though there isn\u2019t one.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/dp8v87cz8a7qa.cloudfront.net\/45396\/5bd20d03240611540492547.png\" alt=\"\" \/><figcaption class=\"wp-element-caption\"><a href=\"https:\/\/stats.stackexchange.com\/questions\/307568\/type-i-error-in-research-what-is-the-alpha-of-a-study-especially-when-there-are?rq=1\" target=\"_blank\" rel=\"noopener\">Source<\/a><\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Type 1 errors have a probability of&nbsp; \u201c\u03b1\u201d correlated to the level of confidence that you set. A test with a 95% <strong>confidence level<\/strong> means that there is a 5% chance of getting a type 1 error.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Consequences of a Type 1 Error<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Why do type 1 errors occur<\/strong>? Type 1 errors can happen due to bad luck (the 5% chance has played against you) or because you didn\u2019t respect the test duration and sample size initially set for your experiment.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Consequently, <strong>a type 1 error will bring in a false positive<\/strong>. This means that you will wrongfully assume that your hypothesis testing has worked even though it hasn\u2019t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In real-life situations, this could potentially mean losing possible sales due to a faulty assumption caused by the test.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Related: <a href=\"https:\/\/wingify.com\/sample-size-calculator\/\" target=\"_blank\" rel=\"noopener\">Sample Size Calculator for A\/B Testing<\/a><\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">A Real-Life Example of a Type 1 Error<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s say that you want to <strong>increase conversions on a banner<\/strong> displayed on your website. For that to work out, you\u2019ve planned on adding an image to see if it increases conversions or not.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You start your <strong>A\/B test by running a control version (A) against your variation (B)<\/strong> that contains the image. After 5 days, variation (B) outperforms the control version by a staggering 25% increase in conversions with an 85% level of confidence.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You stop the test and implement the image in your banner. However, after a month, you noticed that your month-to-month conversions have actually decreased.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">That\u2019s because you\u2019ve encountered a <strong>type 1 error: your variation didn\u2019t actually beat your control version in the long run<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Related: <strong><a href=\"https:\/\/wingify.com\/blog\/bayesian-ab-testing\/\" target=\"_blank\" rel=\"noopener\">Frequentist vs Bayesian<\/a><\/strong> Methods in A\/B Testing<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">Want to avoid these types of errors during your digital experiments?<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><a href=\"https:\/\/wingify.com\/web-experimentation\/\" target=\"_blank\" rel=\"noopener\"><strong>Wingify<\/strong><\/a> is an a\/b testing tool embedded with AI and automation that allows you to quickly set up experiments, track insights via our dashboard, and determine which route will increase your revenue.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Understanding Type II Errors<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In the same way that type 1 errors are commonly referred to as \u201cfalse positives\u201d, <strong>type 2 errors are referred to as \u201cfalse negatives\u201d<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Type 2 errors happen when you inaccurately assume that no winner has been declared between a control version and a variation although there actually is a winner.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In more statistically accurate terms, <strong>type 2 errors happen when the null hypothesis is false and you subsequently fail to reject it<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the probability of making a type 1 error is determined by \u201c\u03b1\u201d, the probability of a type 2 error is \u201c\u03b2\u201d. Beta depends on the power of the test (i.e the probability of not committing a type 2 error, which is equal to 1-\u03b2).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>There are 3 parameters that can affect the power of a test:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Your sample size (n)<\/li>\n\n\n\n<li>The significance level of your test (\u03b1)<\/li>\n\n\n\n<li>The \u201ctrue\u201d value of your tested parameter (<a href=\"https:\/\/stattrek.com\/hypothesis-test\/power-of-test.aspx\" target=\"_blank\" rel=\"noopener\">read more here<\/a>)<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Consequences of a Type 2 Error<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Similarly to type 1 errors, type 2 errors can lead to false assumptions and poor decision-making that can result in lost sales or decreased profits.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Moreover, getting a false negative (without realizing it) can discredit your conversion optimization efforts even though you could have proven your hypothesis. This can be a discouraging turn of events that could happen to any CRO expert and\/or digital marketer.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">A Real-Life Example of a Type 2 Error<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s say that you run an e-commerce store that sells cosmetic products for consumers. In an attempt to increase conversions, you have the idea to implement social proof messaging on your product pages, like <strong><a href=\"https:\/\/wingify.com\/resources\/nyx-professional-makeup-social-proof\/\" target=\"_blank\" rel=\"noopener\">NYX Professional Makeup<\/a><\/strong>.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/static.wingify.com\/gcp\/uploads\/sites\/3\/2022\/10\/v2.png\" alt=\"V2\" class=\"wp-image-116435\" srcset=\"https:\/\/static.wingify.com\/gcp\/uploads\/sites\/3\/2022\/10\/v2.png?tr=w-1024 1024w, https:\/\/static.wingify.com\/gcp\/uploads\/sites\/3\/2022\/10\/v2.png?tr=w-768 768w, https:\/\/static.wingify.com\/gcp\/uploads\/sites\/3\/2022\/10\/v2.png?tr=w-640 640w, https:\/\/static.wingify.com\/gcp\/uploads\/sites\/3\/2022\/10\/v2.png?tr=w-375 375w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">You launch an A\/B test to see if the variation (B) could outperform your control version (A).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>After a week, you do not notice any difference in conversions<\/strong>: both versions seem to convert at the same rate and you start questioning your assumption. Three days later, you stop the test and keep your product page as it is.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">At this point, you assume that adding social proof messaging to your store didn\u2019t have any effect on conversions.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Two weeks later, you hear that a competitor had added social proof messages at the same time and observed tangible gains in conversions. You decide to re-run the test for a month in order to get more statistically relevant results based on an increased level of confidence (say 95%).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>After a month \u2013 surprise \u2013 you discover positive gains in conversions for the variation (B)<\/strong>. Adding social proof messages under the purchase buttons on your product pages has indeed brought your company more sales than the control version.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">That\u2019s right \u2013 your first test encountered a type 2 error!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why are Type I and Type II Errors Important?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Type one and type two errors are errors that we may encounter on a daily basis. It\u2019s important to understand these errors and the impact that they can have on your daily life.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">With type 1 errors you are making an incorrect assumption and can lose time and resources. Type 2 errors can result in a missed opportunity to change, enhance, and innovate a project.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To avoid these errors, it\u2019s important to <strong>pay close attention to the sample size and the significance level in each experiment<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Even though hypothesis tests are meant to be reliable, there are two types of errors that can occur. These errors are known as type 1 and type 2 errors. Learn more.<\/p>\n","protected":false},"author":1432,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"post_read_time":0,"footnotes":""},"categories":[11085,11030],"tags":[10836],"feature":[],"industry-type":[],"product":[],"role":[],"region":[],"class_list":["post-116054","post","type-post","status-publish","format-standard","hentry","category-data-science-fr","category-statistics","tag-statistics"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>What are Type 1 and Type 2 Errors?<\/title>\n<meta name=\"description\" content=\"Learn what the differences are between type 1 and type 2 errors in statistical hypothesis testing and how you can avoid them.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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Wassner"},"description":"Hubert Wassner is Chief Data Scientist at AB Tasty with over thirty years of experience in AI and machine learning. 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