Margin Of Error Definition In Statistics
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For Dummies Statistics For Dummies, 2nd Edition SPSS Statistics for Dummies, 3rd Edition Statistics II for Dummies Load more EducationMathStatisticsHow to Interpret the Margin of Error in http://stattrek.com/statistics/dictionary.aspx?definition=margin%20of%20error Statistics How to Interpret the Margin of Error in Statistics Related Book Statistics For Dummies, 2nd Edition By Deborah J. Rumsey You've probably heard or seen results like this: "This statistical survey had a margin of error of plus or minus 3 percentage points." What does this mean? Most surveys are based on http://www.dummies.com/education/math/statistics/how-to-interpret-the-margin-of-error-in-statistics/ information collected from a sample of individuals, not the entire population (as a census would be). A certain amount of error is bound to occur -- not in the sense of calculation error (although there may be some of that, too) but in the sense of sampling error, which is the error that occurs simply because the researchers aren't asking everyone. The margin of error is supposed to measure the maximum amount by which the sample results are expected to differ from those of the actual population. Because the results of most survey questions can be reported in terms of percentages, the margin of error most often appears as a percentage, as well. How do you interpret a margin of error? Suppose you know that 51% of people sampled say that they plan to vote for Ms. Calculation in the upcoming election. Now, projecting these results to the whole voting population, you would have to add and subtract
WorkSocial MediaSoftwareProgrammingWeb Design & DevelopmentBusinessCareersComputers Online Courses B2B Solutions Shop for Books San Francisco, CA Brr, it´s cold outside Search Submit Learn more with dummies Enter your email to join our mailing list for FREE content right to your inbox. http://www.dummies.com/education/math/statistics/what-the-margin-of-error-tells-you-about-a-statistical-sample/ Easy! Your email Submit RELATED ARTICLES What the Margin of Error Tells https://www.isixsigma.com/tools-templates/sampling-data/margin-error-and-confidence-levels-made-simple/ You About a Statistical… Statistics Essentials For Dummies Statistics For Dummies, 2nd Edition SPSS Statistics for Dummies, 3rd Edition Statistics II for Dummies Load more EducationMathStatisticsWhat the Margin of Error Tells You About a Statistical Sample What the Margin of Error Tells You About a Statistical Sample Related Book Statistics margin of For Dummies, 2nd Edition By Deborah J. Rumsey If you read statistical survey results without knowing the margin of error, or MOE, you are only getting part of the story. Survey results themselves (with no MOE) are only a measure of how the sample of selected individuals felt about the issue; they don't reflect how the entire population may have felt, had they margin of error all been asked. The margin of error helps you estimate how close you are to the truth about the population based on your sample data. Results based on a sample won't be exactly the same as what you would've found for the entire population, because when you take a sample, you don't get information from everyone in the population. However, if the study is done right, the results from the sample should be close to and representative of the actual values for the entire population, with a high level of confidence. The MOE doesn't mean someone made a mistake; all it means is that you didn't get to sample everybody in the population, so you expect your sample results to vary from that population by a certain amount. In other words, you acknowledge that your results will change with subsequent samples and are only accurate to within a certain range -- which can be calculated using the margin of error. Consider one example of the type of survey conducted by some of the leading polling organizations, such as the Gallup Organization. Suppose its latest poll sampled 1
Events Submit an Event News Read News Submit News Jobs Visit the Jobs Board Search Jobs Post a Job Marketplace Visit the Marketplace Assessments Case Studies Certification E-books Project Examples Reference Guides Research Templates Training Materials & Aids Videos Newsletters Join71,704 other iSixSigma newsletter subscribers: THURSDAY, OCTOBER 20, 2016 Font Size Login Register Six Sigma Tools & Templates Sampling/Data Margin of Error and Confidence Levels Made Simple Tweet Margin of Error and Confidence Levels Made Simple Pamela Hunter 9 A survey is a valuable assessment tool in which a sample is selected and information from the sample can then be generalized to a larger population. Surveying has been likened to taste-testing soup – a few spoonfuls tell what the whole pot tastes like. The key to the validity of any survey is randomness. Just as the soup must be stirred in order for the few spoonfuls to represent the whole pot, when sampling a population, the group must be stirred before respondents are selected. It is critical that respondents be chosen randomly so that the survey results can be generalized to the whole population. How well the sample represents the population is gauged by two important statistics – the survey's margin of error and confidence level. They tell us how well the spoonfuls represent the entire pot. For example, a survey may have a margin of error of plus or minus 3 percent at a 95 percent level of confidence. These terms simply mean that if the survey were conducted 100 times, the data would be within a certain number of percentage points above or below the percentage reported in 95 of the 100 surveys. In other words, Company X surveys customers and finds that 50 percent of the respondents say its customer service is "very good." The confidence level is cited as 95 percent plus or minus 3 percent. This information means that if the survey were conducted 100 times, the percentage who say service is "very good" will range between 47 and 53 percent most (95 percent) of the tim