{"id":31332,"date":"2021-09-22T10:06:10","date_gmt":"2021-09-22T10:06:10","guid":{"rendered":"https:\/\/analystprep.com\/cfa-level-1-exam\/?p=31332"},"modified":"2026-02-02T09:10:24","modified_gmt":"2026-02-02T09:10:24","slug":"resampling","status":"publish","type":"post","link":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/","title":{"rendered":"Resampling"},"content":{"rendered":"\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"VideoObject\",\n  \"name\": \"Sampling and Estimation (2025 Level I CFA\u00ae Exam \u2013 Quantitative Methods \u2013 Module 5)\",\n  \"description\": \"CFA\u00ae Level I Quantitative Methods video lesson from AnalystPrep covering Sampling and Estimation (Module 5). This lecture explains simple random sampling, sampling distributions, sampling error, the central limit theorem, standard error of the mean, estimator properties, point vs confidence interval estimates, confidence interval construction under different variance assumptions, resampling techniques (bootstrap and jackknife), and common sampling and data-mining biases relevant for exam preparation.\",\n  \"uploadDate\": \"2021-11-11\",\n  \"thumbnailUrl\": \"https:\/\/img.youtube.com\/vi\/QDmc4Pa92bs\/hqdefault.jpg\",\n  \"contentUrl\": \"https:\/\/www.youtube.com\/watch?v=QDmc4Pa92bs\",\n  \"embedUrl\": \"https:\/\/www.youtube.com\/embed\/QDmc4Pa92bs\",\n  \"duration\": \"PT37M40S\"\n}\n<\/script>\n\n<p><iframe loading=\"lazy\" src=\"\/\/www.youtube.com\/embed\/QDmc4Pa92bs\" width=\"611\" height=\"343\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"QAPage\",\n  \"mainEntity\": {\n    \"@type\": \"Question\",\n    \"name\": \"Estimating the standard error from bootstrap resamples\",\n    \"text\": \"Assume you are studying the median height of students at a university. You draw 1,000 bootstrap resamples and obtain 1,000 resample medians. The mean across all resample medians is 5.8. The sum of squares of the differences between each resample median and the mean across all resample medians, \u2211(\u03b8\u0302_b \u2212 \u03b8\u0304)^2, is 2.3.\\n\\nWhat is the estimate of the standard error of the sample mean?\\n\\nA. 0.05.\\n\\nB. 0.08.\\n\\nC. 0.10.\",\n    \"answerCount\": 1,\n    \"acceptedAnswer\": {\n      \"@type\": \"Answer\",\n      \"text\": \"A. 0.05.\\n\\nThe bootstrap estimate of the standard error is computed as:\\n\\nSE = \u221a[ (1 \/ (B \u2212 1)) \u00d7 \u2211(\u03b8\u0302_b \u2212 \u03b8\u0304)^2 ]\\n\\nWith B = 1,000 and a sum of squared deviations of 2.3:\\n\\nSE = \u221a[ 2.3 \/ (1,000 \u2212 1) ] \u2248 \u221a(0.002302) \u2248 0.048.\\n\\nThis value is closest to 0.05.\"\n    }\n  }\n}\n<\/script>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"ImageObject\",\n  \"url\": \"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method.jpg\",\n  \"caption\": \"Bootstrap Resampling Method\",\n  \"width\": 1590,\n  \"height\": 1130,\n  \"copyrightNotice\": \"\u00a9 2024 AnalystPrep\",\n  \"acquireLicensePage\": \"https:\/\/analystprep.com\/license-info\",\n  \"creditText\": \"AnalystPrep Design Team\",\n  \"creator\": {\n    \"@type\": \"Organization\",\n    \"name\": \"AnalystPrep\"\n  }\n}\n<\/script>\n<script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"ImageObject\",\n  \"url\": \"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\",\n  \"caption\": \"Bootstrapping\",\n  \"width\": 1601,\n  \"height\": 1398,\n  \"copyrightNotice\": \"\u00a9 2024 AnalystPrep\",\n  \"acquireLicensePage\": \"https:\/\/analystprep.com\/license-info\",\n  \"creditText\": \"AnalystPrep Design Team\",\n  \"creator\": {\n    \"@type\": \"Organization\",\n    \"name\": \"AnalystPrep\"\n  }\n}\n<\/script>\n\n<p>Resampling refers to the act of repeatedly drawing samples from the original observed data sample for the statistical inference of population parameters. The following are the two commonly used methods of resampling: Bootstrap and jackknife.<\/p>\n<h2><strong>Bootstrap<\/strong><\/h2>\n<p>In the bootstrap resampling method, a computer simulation is used to <strong>repeatedly draw random samples<\/strong> from the original sample. The resamples are then used to construct a sampling distribution.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-38558\" src=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\" alt=\"\" width=\"1601\" height=\"1398\" srcset=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png 1601w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping-300x262.png 300w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping-1024x894.png 1024w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping-768x671.png 768w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping-1536x1341.png 1536w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping-400x349.png 400w\" sizes=\"auto, (max-width: 1601px) 100vw, 1601px\" \/><\/p>\n<p>In the bootstrap method, the number of repeated samples to be drawn is at the discretion of the researcher. Furthermore, we can calculate the standard error of the mean. This is done by resampling and calculating the mean of each sample. The following formula is used to estimate the standard error.<\/p>\n<p>$$ s_{\\bar{X}}=\\sqrt{\\frac{1}{B-1} \\sum_{b=1}^{B}\\left(\\hat{\\theta}_{b}-\\bar{\\theta}\\right)^{2}} $$<\/p>\n<p>Where:<\/p>\n<p>\\(s_{\\bar{X}}\\) = Estimate of the standard error of the sample mean.<\/p>\n<p>\\(B\\) = Number of resamples drawn from the original sample.<\/p>\n<p>\\(\\hat{\\theta}_{b}\\) = Mean of a resample.<\/p>\n<p>\\(\\bar{\\theta}\\) = Mean across all the resample means.<\/p>\n<p>The bootstrap resampling method can also be used in the estimation of the confidence intervals for the statistic. Alternatively, it can be used to find other population parameters. \u00a0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-39313\" src=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method.jpg\" alt=\"Bootstrap resampling method\" width=\"1590\" height=\"1130\" srcset=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method.jpg 1590w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method-300x213.jpg 300w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method-1024x728.jpg 1024w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method-768x546.jpg 768w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method-1536x1092.jpg 1536w, https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/Bootstrap-resampling-method-400x284.jpg 400w\" sizes=\"auto, (max-width: 1590px) 100vw, 1590px\" \/><\/p>\n<h2><strong>Jackknife<\/strong><\/h2>\n<p>Jackknife is a resampling method in which samples are selected by taking the original observed data sample and leaving out one observation at a time. As such, the samples are drawn <strong>without replacement<\/strong>. For a sample size of <em>n<\/em>, we need <em>n<\/em> repeated samples. This method can be used to reduce the bias of an estimator or to estimate the standard error and the confidence interval of an estimator.<\/p>\n<blockquote>\n<h2><strong>Question<\/strong><\/h2>\n<p>Assume that you are studying the median height of 100 students in a university. You draw a sample of 1000 students and obtain 1000 median heights. The mean across all resample means is 5.8. The sum of squares of the differences between each sample mean and the mean across all resample means \\(\\left(\\sum_{b=1}^{B}{\\left(\\hat{\\theta}_{b}-\\bar{\\theta}\\right)^{2}}\\right)\\) is 2.3.<\/p>\n<p>The estimate of the standard error of the sample mean is <em>closest<\/em> to:<\/p>\n<ol style=\"list-style-type: upper-alpha;\">\n<li>0.05.<\/li>\n<li>0.08.<\/li>\n<li>0.10.<\/li>\n<\/ol>\n<p><strong>Solution<\/strong><\/p>\n<p>The correct answer is\u00a0<strong>A<\/strong>.<\/p>\n<p>$$<br \/>\\begin{aligned}<br \/>S_{\\bar{X}}&amp;=\\sqrt{\\frac{1}{B-1}} \\sum_{b=1}^{B}\\left(\\hat{\\theta}_{b}-\\bar{\\theta}\\right) ^ 2 \\\\<br \/>&amp;=\\sqrt{\\frac{1}{1000-1}}(2.3)=0.04798<br \/>\\end{aligned}<br \/>$$<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Resampling refers to the act of repeatedly drawing samples from the original observed data sample for the statistical inference of population parameters. The following are the two commonly used methods of resampling: Bootstrap and jackknife. Bootstrap In the bootstrap resampling&#8230;<\/p>\n","protected":false},"author":15,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-31332","post","type-post","status-publish","format-standard","hentry","category-quantitative-methods","blog-post","no-post-thumbnail","animate"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Resampling Methods in Statistics | CFA Level 1 - AnalystPrep<\/title>\n<meta name=\"description\" content=\"Learn about resampling techniques like bootstrapping and jackknife methods used for statistical inference and population parameter estimation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Resampling Methods in Statistics | CFA Level 1 - AnalystPrep\" \/>\n<meta property=\"og:description\" content=\"Learn about resampling techniques like bootstrapping and jackknife methods used for statistical inference and population parameter estimation.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\" \/>\n<meta property=\"og:site_name\" content=\"AnalystPrep | CFA\u00ae Exam Study Notes\" \/>\n<meta property=\"article:published_time\" content=\"2021-09-22T10:06:10+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-02T09:10:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1601\" \/>\n\t<meta property=\"og:image:height\" content=\"1398\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Kosikos Tuitoek\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Kosikos Tuitoek\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\"},\"author\":{\"name\":\"Kosikos Tuitoek\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/73df713e3b6e82ee139e1eff20cebe20\"},\"headline\":\"Resampling\",\"datePublished\":\"2021-09-22T10:06:10+00:00\",\"dateModified\":\"2026-02-02T09:10:24+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\"},\"wordCount\":377,\"image\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\",\"articleSection\":[\"Quantitative Methods\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\",\"name\":\"Resampling Methods in Statistics | CFA Level 1 - AnalystPrep\",\"isPartOf\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\",\"datePublished\":\"2021-09-22T10:06:10+00:00\",\"dateModified\":\"2026-02-02T09:10:24+00:00\",\"author\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/73df713e3b6e82ee139e1eff20cebe20\"},\"description\":\"Learn about resampling techniques like bootstrapping and jackknife methods used for statistical inference and population parameter estimation.\",\"breadcrumb\":{\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\",\"contentUrl\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png\",\"width\":1601,\"height\":1398},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Resampling\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#website\",\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/\",\"name\":\"AnalystPrep | CFA\u00ae Exam Study Notes\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/73df713e3b6e82ee139e1eff20cebe20\",\"name\":\"Kosikos Tuitoek\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8260edaa3f7ba04cf6b536b3f7fd769007ecb789b3289ac0cc4c3ab8b3f7f061?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8260edaa3f7ba04cf6b536b3f7fd769007ecb789b3289ac0cc4c3ab8b3f7f061?s=96&d=mm&r=g\",\"caption\":\"Kosikos Tuitoek\"},\"url\":\"https:\/\/analystprep.com\/cfa-level-1-exam\/author\/kosikos-tuitoek-enockanalystprep-com\/\"}]}<\/script>\n<meta property=\"og:video\" content=\"https:\/\/www.youtube.com\/embed\/QDmc4Pa92bs\" \/>\n<meta property=\"og:video:type\" content=\"text\/html\" \/>\n<meta property=\"og:video:duration\" content=\"2261\" \/>\n<meta property=\"og:video:width\" content=\"480\" \/>\n<meta property=\"og:video:height\" content=\"270\" \/>\n<meta property=\"ya:ovs:adult\" content=\"false\" \/>\n<meta property=\"ya:ovs:upload_date\" content=\"2021-09-22T10:06:10+00:00\" \/>\n<meta property=\"ya:ovs:allow_embed\" content=\"true\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Resampling Methods in Statistics | CFA Level 1 - AnalystPrep","description":"Learn about resampling techniques like bootstrapping and jackknife methods used for statistical inference and population parameter estimation.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/","og_locale":"en_US","og_type":"article","og_title":"Resampling Methods in Statistics | CFA Level 1 - AnalystPrep","og_description":"Learn about resampling techniques like bootstrapping and jackknife methods used for statistical inference and population parameter estimation.","og_url":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/","og_site_name":"AnalystPrep | CFA\u00ae Exam Study Notes","article_published_time":"2021-09-22T10:06:10+00:00","article_modified_time":"2026-02-02T09:10:24+00:00","og_image":[{"width":1601,"height":1398,"url":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png","type":"image\/png"}],"author":"Kosikos Tuitoek","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Kosikos Tuitoek","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#article","isPartOf":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/"},"author":{"name":"Kosikos Tuitoek","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/73df713e3b6e82ee139e1eff20cebe20"},"headline":"Resampling","datePublished":"2021-09-22T10:06:10+00:00","dateModified":"2026-02-02T09:10:24+00:00","mainEntityOfPage":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/"},"wordCount":377,"image":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage"},"thumbnailUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png","articleSection":["Quantitative Methods"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/","name":"Resampling Methods in Statistics | CFA Level 1 - AnalystPrep","isPartOf":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#website"},"primaryImageOfPage":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage"},"image":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage"},"thumbnailUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png","datePublished":"2021-09-22T10:06:10+00:00","dateModified":"2026-02-02T09:10:24+00:00","author":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/73df713e3b6e82ee139e1eff20cebe20"},"description":"Learn about resampling techniques like bootstrapping and jackknife methods used for statistical inference and population parameter estimation.","breadcrumb":{"@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#primaryimage","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png","contentUrl":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-content\/uploads\/2021\/09\/cfa-level-1-bootstrapping.png","width":1601,"height":1398},{"@type":"BreadcrumbList","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/quantitative-methods\/resampling\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/analystprep.com\/cfa-level-1-exam\/"},{"@type":"ListItem","position":2,"name":"Resampling"}]},{"@type":"WebSite","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#website","url":"https:\/\/analystprep.com\/cfa-level-1-exam\/","name":"AnalystPrep | CFA\u00ae Exam Study Notes","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/analystprep.com\/cfa-level-1-exam\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/73df713e3b6e82ee139e1eff20cebe20","name":"Kosikos Tuitoek","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/analystprep.com\/cfa-level-1-exam\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8260edaa3f7ba04cf6b536b3f7fd769007ecb789b3289ac0cc4c3ab8b3f7f061?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8260edaa3f7ba04cf6b536b3f7fd769007ecb789b3289ac0cc4c3ab8b3f7f061?s=96&d=mm&r=g","caption":"Kosikos Tuitoek"},"url":"https:\/\/analystprep.com\/cfa-level-1-exam\/author\/kosikos-tuitoek-enockanalystprep-com\/"}]},"og_video":"https:\/\/www.youtube.com\/embed\/QDmc4Pa92bs","og_video_type":"text\/html","og_video_duration":"2261","og_video_width":"480","og_video_height":"270","ya_ovs_adult":"false","ya_ovs_upload_date":"2021-09-22T10:06:10+00:00","ya_ovs_allow_embed":"true"},"_links":{"self":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts\/31332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/comments?post=31332"}],"version-history":[{"count":32,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts\/31332\/revisions"}],"predecessor-version":[{"id":58587,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/posts\/31332\/revisions\/58587"}],"wp:attachment":[{"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/media?parent=31332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/categories?post=31332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/analystprep.com\/cfa-level-1-exam\/wp-json\/wp\/v2\/tags?post=31332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}