Range Of Error Definition
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engineering, see Tolerance (engineering). For the eponymous movie, see Margin for error (film). The top portion charts probability density against actual percentage, showing the margin of error example relative probability that the actual percentage is realised, based on the sampled margin of error synonym percentage. In the bottom portion, each line segment shows the 95% confidence interval of a sampling (with the margin of error calculator margin of error on the left, and unbiased samples on the right). Note the greater the unbiased samples, the smaller the margin of error. The margin of error is
Margin Of Error In Polls
a statistic expressing the amount of random sampling error in a survey's results. It asserts a likelihood (not a certainty) that the result from a sample is close to the number one would get if the whole population had been queried. The likelihood of a result being "within the margin of error" is itself a probability, commonly 95%, though acceptable margin of error other values are sometimes used. The larger the margin of error, the less confidence one should have that the poll's reported results are close to the true figures; that is, the figures for the whole population. Margin of error applies whenever a population is incompletely sampled. Margin of error is often used in non-survey contexts to indicate observational error in reporting measured quantities. In astronomy, for example, the convention is to report the margin of error as, for example, 4.2421(16) light-years (the distance to Proxima Centauri), with the number in parentheses indicating the expected range of values in the matching digits preceding; in this case, 4.2421(16) is equivalent to 4.2421 ± 0.0016.[1] The latter notation, with the "±", is more commonly seen in most other science and engineering fields. Contents 1 Explanation 2 Concept 2.1 Basic concept 2.2 Calculations assuming random sampling 2.3 Definition 2.4 Different confidence levels 2.5 Maximum and specific margins of error 2.6 Effect of population size 2.7 Other statistics 3 Comparing percentages 4 See also 5 Notes 6 References 7 External
Series Quiz Favorite Button CITE Translate Facebook Share Twitter Tweet Google+ http://www.dictionary.com/browse/margin-of-error Share margin of error2 noun in statistics, a measurement of the accuracy of the results of a survey Examples The http://mathworld.wolfram.com/MarginofError.html larger the margin of error around an estimated value, the less accurate is the estimated value. Dictionary.com's 21st Century LexiconCopyright of error © 2003-2014 Dictionary.com, LLC Cite This Source Discover our greatest slideshows 8 Offbeat Literary Genres to Get... Decode the pieces of our favorite... Know These 9 Commonly Confused... Uncover the mysteries of the marks... Browse more topics on our blog What margin of error Is the Difference Between Discreet and Discrete? Learn the correct uses of these two commonly confused homophones. What Character Was Removed from the Alphabet? What mistaken pronunciation gave this character its name? Apostrophes 101 This small mark has two primary uses: to signify possession or omitted letters. How Do I Get a Word into the Dictionary? People invent new words all the time, but which ones actually make it? Word of the Day Word Value for margin 9 12 Scrabble Words With Friends Nearby words for margin of error margie margin margin account margin call margin line margin of error margin of safety margin plank marginal marginal cost marginal costing Baseball Quiz About Terms & Privacy ©2016 Dictionary.com, LLC.
Random Entry New in MathWorld MathWorld Classroom About MathWorld Contribute to MathWorld Send a Message to the Team MathWorld Book Wolfram Web Resources» 13,594 entries Last updated: Wed Oct 19 2016 Created, developed, and nurturedbyEricWeisstein at WolframResearch Probability and Statistics>Error Analysis> History and Terminology>Disciplinary Terminology>Political Terminology> MathWorld Contributors>Pegg> Margin of Error The margin of error is an estimate of a confidence interval for a given measurement, result, etc. and is frequently cited in statistics. While phrases such as, "The poll has a margin of error of plus or minus 3.1 percentage points" are commonly heard, an additional qualification such as "at a 95 percent confidence level" is also needed in order to precisely indicate what the error refers to. For a given confidence interval , standard deviation , and sample size , the margin of error (for a normal distribution) is where is the inverse erf function. SEE ALSO: Confidence Interval, Error, Inverse Erf, Standard Deviation Portions of this entry contributed by Ed Pegg, Jr. (author's link) REFERENCES: Moore, D.S. and McCabe G.P. Introduction to the Practice of Statistics. New York: W.H.Freeman, p.443, 1999. Referenced on Wolfram|Alpha: Margin of Error CITE THIS AS: Pegg, Ed Jr. and Weisstein, Eric W. "Margin of Error." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/MarginofError.html Wolfram Web Resources Mathematica» The #1 tool for creating Demonstrations and anything technical. Wolfram|Alpha» Explore anything with the first computational knowledge engine. Wolfram Demonstrations Project» Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Computerbasedmath.org» Join the initiative for modernizing math education. Online I