{"id":154596,"date":"2022-03-25T23:42:37","date_gmt":"2022-03-25T18:12:37","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/sampling-error-definition-formula-and-step-by-step-calculation\/"},"modified":"2024-05-06T14:58:27","modified_gmt":"2024-05-06T09:28:27","slug":"sampling-error-definition-formula-and-step-by-step-calculation","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/","title":{"rendered":"Sampling Error"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#What_is_Sampling_Error\" title=\"What is Sampling Error?\">What is Sampling Error?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Sampling_Error_Definition\" title=\"Sampling Error Definition\">Sampling Error Definition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#What_is_Sampling_and_Sampling_Error\" title=\"What is Sampling and Sampling Error?\">What is Sampling and Sampling Error?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Key_Takeaways\" title=\"Key Takeaways\">Key Takeaways<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Sampling_Error_Meaning\" title=\"Sampling Error Meaning\">Sampling Error Meaning<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#The_Role_of_Sample_Size\" title=\"The Role of Sample Size\">The Role of Sample Size<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Formula_for_Sampling_Error\" title=\"Formula for Sampling Error\">Formula for Sampling Error<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Step_by_Step_Calculation_of_Sampling_and_Sampling_Error\" title=\"Step by Step Calculation of Sampling and Sampling Error\">Step by Step Calculation of Sampling and Sampling Error<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#How_can_Sampling_Error_Corrected\" title=\"How can Sampling Error Corrected?\">How can Sampling Error Corrected?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Questions_to_Solved_Sampling_Error_Example\" title=\"Questions to Solved (Sampling Error Example)\">Questions to Solved (Sampling Error Example)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/sampling-error\/#Common_mistakes_to_avoid_on_Sampling_Errors\" title=\"Common mistakes to avoid on Sampling Errors\">Common mistakes to avoid on Sampling Errors<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Sampling_Error\"><\/span>What is Sampling Error?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Sampling error is the variability of the estimates due to the random selection of the units in the sample. The variability of the estimates is measured by the standard error.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Sampling_Error_Definition\"><\/span>Sampling Error Definition<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>It is the difference between the results of a study and the results that would have been obtained if the study had been conducted using a different sample of people. However sampling error can be caused by many factors, including the selection of a biased sample or the use of a flawed questionnaire.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_Sampling_and_Sampling_Error\"><\/span>What is Sampling and Sampling Error?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sampling is the process of selecting a subset of a population in order to study it. The goal of sampling is to obtain information about the population that would not be possible if the entire population were studied.<\/p>\n<p>There are two types of errors that can occur in sampling: sampling error and non sampling error. Sampling error is the error that results from the selection of a sample rather than the entire population. Non sampling error is the error that results from any factor other than the selection of a sample.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Key_Takeaways\"><\/span>Key Takeaways<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>Bitcoin is a digital asset and a payment system invented by Satoshi Nakamoto.<\/li>\n<li>Transactions are verified by network nodes through cryptography and recorded in a public dispersed ledger called a blockchain.<\/li>\n<li>Bitcoin is unique in that there are a finite number of them: 21 million.<\/li>\n<li>Over 17 million bitcoins are in circulation as of February 2019.<\/li>\n<li>Bitcoin used to purchase goods and services, as well as store value.<\/li>\n<li>The price of bitcoin determined by supply and also demand.<\/li>\n<li>Bitcoin not backed by a government or central bank, and its value is highly volatile.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Sampling_Error_Meaning\"><\/span>Sampling Error Meaning<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Sampling error is the difference between the results of a study and the actual population value. Therefore this can be caused by the method of sampling used, the size of the sample, or the variation in the population.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"The_Role_of_Sample_Size\"><\/span>The Role of Sample Size<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The size of the sample has a significant impact on the precision of the estimate. The larger the sample size, also more precise the estimate will be.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Formula_for_Sampling_Error\"><\/span>Formula for Sampling Error<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The sampling error for a statistic is the error that results from using a sample to estimate a population parameter. Therefore the sampling error is the difference between the sample statistic and the population parameter.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Step_by_Step_Calculation_of_Sampling_and_Sampling_Error\"><\/span>Step by Step Calculation of Sampling and Sampling Error<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Sampling Error Formula<\/p>\n<p>The sampling error is the difference between the value of the population and the value of the sample. However it calculated by taking the standard deviation of the sample.<\/p>\n<p>Sampling Error = Standard Deviation of the Sample<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_can_Sampling_Error_Corrected\"><\/span>How can Sampling Error Corrected?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>There are a few ways to correct sampling error:<\/p>\n<p>1. Increase the sample size. This will decrease the variability of the sample and make it more representative of the population.<\/p>\n<p>2. Use a random sampling method. This will help ensure that the sample is representative of the population.<\/p>\n<p>3. Use a stratified sampling method. Therefore this will help ensure that the sample is representative of the population by dividing it into strata (groups) and selecting a sample from each stratum.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Questions_to_Solved_Sampling_Error_Example\"><\/span>Questions to Solved (Sampling Error Example)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. What is the margin of error for a 95% confidence interval for the proportion of Republicans in the sample?<\/p>\n<p>2. What is the margin of error for a 95% confidence interval for the proportion of Democrats in the sample?<\/p>\n<p>3. What is the margin of error for a 95% confidence interval for the difference between the proportions of Republicans and Democrats in the sample?<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Common_mistakes_to_avoid_on_Sampling_Errors\"><\/span>Common mistakes to avoid on Sampling Errors<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1. Assuming that the sampled population is representative of the entire population.<\/p>\n<p>2. Not accounting for the sampling bias.<\/p>\n<p>3. Choosing a convenience sample instead of a random sample.<\/p>\n<p>4. Drawing conclusions from a small sample size.<\/p>\n<p>5. Drawing conclusions from a non-random sample.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Sampling Error? 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