{"id":217802,"date":"2025-05-22T13:46:46","date_gmt":"2025-05-22T13:46:46","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=217802"},"modified":"2025-05-22T13:46:49","modified_gmt":"2025-05-22T13:46:49","slug":"explain-the-difference-between-a-stratified-sample-and-a-cluster-sample","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/22\/explain-the-difference-between-a-stratified-sample-and-a-cluster-sample\/","title":{"rendered":"Explain the difference between a stratified sample and a cluster sample."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Explain the difference between a stratified sample and a cluster sample. (Select all that apply.)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a cluster sample, every sample of size n has an equal chance of being included.<br>In a stratified sample, every sample of size n has an equal chance of being included.<br>In a stratified sample, the clusters to be included are selected at random and then all members of each selected cluster are included.<br>In a cluster sample, random samples from each strata are included.<br>In a cluster sample, the only samples possible are those including every kth item from the random starting position.<br>In a stratified sample, random samples from each strata are included.<br>In a stratified sample, the only samples possible are those including every kth item from the random starting position.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The correct answers are:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 <strong>In a stratified sample, random samples from each strata are included.<\/strong><br>\u2705 <strong>In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding the difference between <strong>stratified sampling<\/strong> and <strong>cluster sampling<\/strong> is essential in statistics, particularly when selecting representative subsets from a larger population.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Stratified Sampling:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In a <strong>stratified sample<\/strong>, the population is divided into distinct subgroups known as <strong>strata<\/strong>. These strata are formed based on shared characteristics such as age, gender, income level, or education. Once the population is divided into strata, a <strong>random sample is taken from each stratum<\/strong>. The goal is to ensure that each subgroup is properly represented in the final sample.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For example, if you&#8217;re conducting a survey on college students\u2019 study habits, you might stratify by academic year (freshman, sophomore, junior, senior), and then randomly sample students from each year.<\/li>\n\n\n\n<li>This technique increases the <strong>precision<\/strong> of the results and reduces sampling bias, especially when population subgroups differ significantly.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 This is why the statement <strong>&#8220;In a stratified sample, random samples from each strata are included&#8221;<\/strong> is correct.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Cluster Sampling:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In a <strong>cluster sample<\/strong>, the population is divided into groups or <strong>clusters<\/strong>, often based on geographical location or naturally occurring groups (e.g., classrooms, zip codes). Then, <strong>entire clusters are randomly selected<\/strong>, and <strong>every member within those selected clusters is included<\/strong> in the sample.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For example, if a school district wants to assess student performance, it might randomly select 10 schools (clusters) and test every student in those schools.<\/li>\n\n\n\n<li>This method is <strong>more cost-effective and practical<\/strong> when dealing with large, spread-out populations.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 That\u2019s why the statement <strong>&#8220;In a cluster sample, the clusters to be included are selected at random and then all members of each selected cluster are included&#8221;<\/strong> is correct.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Incorrect Statements:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Random sampling of individuals from each strata is <strong>not<\/strong> cluster sampling.<\/li>\n\n\n\n<li>Selecting every kth item refers to <strong>systematic sampling<\/strong>, not stratified or cluster.<\/li>\n\n\n\n<li>Not every sample of size <em>n<\/em> has an equal chance in either method.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, stratified and cluster sampling differ mainly in how subgroups are formed and sampled: <strong>stratified sampling ensures representation across all strata<\/strong>, while <strong>cluster sampling involves whole groups selected randomly for analysis<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/image-73.png\" alt=\"\" class=\"wp-image-217803\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Explain the difference between a stratified sample and a cluster sample. (Select all that apply.) In a cluster sample, every sample of size n has an equal chance of being included.In a stratified sample, every sample of size n has an equal chance of being included.In a stratified sample, the clusters to be included are [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-217802","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217802","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=217802"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/217802\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=217802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=217802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=217802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}