Definition Of Standard Error
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proportion of samples that would fall between 0, 1, 2, and 3 standard deviations above and below the actual value. The standard error (SE) is the standard deviation of the sampling distribution of definition of standard error of the mean a statistic,[1] most commonly of the mean. The term may also be used to definition of standard error of estimate refer to an estimate of that standard deviation, derived from a particular sample used to compute the estimate. For example, definition of standard error of the mean in statistics the sample mean is the usual estimator of a population mean. However, different samples drawn from that same population would in general have different values of the sample mean, so there is a distribution
Definition Of Standard Error Of Measurement
of sampled means (with its own mean and variance). The standard error of the mean (SEM) (i.e., of using the sample mean as a method of estimating the population mean) is the standard deviation of those sample means over all possible samples (of a given size) drawn from the population. Secondly, the standard error of the mean can refer to an estimate of that standard deviation, computed from the definition standard deviation sample of data being analyzed at the time. In regression analysis, the term "standard error" is also used in the phrase standard error of the regression to mean the ordinary least squares estimate of the standard deviation of the underlying errors.[2][3] Contents 1 Introduction to the standard error 1.1 Standard error of the mean 1.1.1 Sampling from a distribution with a large standard deviation 1.1.2 Sampling from a distribution with a small standard deviation 1.1.3 Larger sample sizes give smaller standard errors 1.1.4 Using a sample to estimate the standard error 2 Standard error of the mean 3 Student approximation when σ value is unknown 4 Assumptions and usage 4.1 Standard error of mean versus standard deviation 5 Correction for finite population 6 Correction for correlation in the sample 7 Relative standard error 8 See also 9 References Introduction to the standard error[edit] The standard error is a quantitative measure of uncertainty. Consider the following scenarios. Scenario 1. For an upcoming national election, 2000 voters are chosen at random and asked if they will vote for candidate A or candidate B. Of the 2000 voters, 1040 (52%) state that they will vote for candidate A. The researchers report that candidate A is expec
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calculators Book reviews Glossary AP practice exam Problems and solutions Formulas Notation Share with Friends Statistics and Probability Dictionary Select a term from the dropdown text https://en.wikipedia.org/wiki/Standard_error box. The online statistics glossary will display a definition, plus links to other related web pages. Select term: Statistics Dictionary Absolute Value Accuracy Addition Rule Alpha Alternative Hypothesis Back-to-Back Stemplots Bar Chart Bayes Rule Bayes Theorem Bias Biased Estimate Bimodal Distribution Binomial Distribution Binomial Experiment Binomial Probability Binomial Random Variable Bivariate Data Blinding Boxplot http://stattrek.com/statistics/dictionary.aspx?definition=standard%20error Cartesian Plane Categorical Variable Census Central Limit Theorem Chi-Square Distribution Chi-Square Goodness of Fit Test Chi-Square Statistic Chi-Square Test for Homogeneity Chi-Square Test for Independence Cluster Cluster Sampling Coefficient of Determination Column Vector Combination Complement Completely Randomized Design Conditional Distribution Conditional Frequency Conditional Probability Confidence Interval Confidence Level Confounding Contingency Table Continuous Probability Distribution Continuous Variable Control Group Convenience Sample Correlation Critical Parameter Value Critical Value Cumulative Frequency Cumulative Frequency Plot Cumulative Probability Decision Rule Degrees of Freedom Dependent Variable Determinant Deviation Score Diagonal Matrix Discrete Probability Distribution Discrete Variable Disjoint Disproportionate Stratification Dotplot Double Bar Chart Double Blinding E Notation Echelon Matrix Effect Size Element Elementary Matrix Operations Elementary Operators Empty Set Estimation Estimator Event Event Multiple Expected Value Experiment Experimental Design F Distribution F Statistic Factor Factorial Finite Population Correction Frequency Count Frequency Table Full Rank Gaps in Graphs Geometric Distribution Geometric Probability Heterogeneous Histogram Homogeneous Hypergeometric Distribution Hypergeometric Experiment Hypergeometric Probability Hypergeometric Random Variable Hypothesis Test Identity M
irregardless a word? Favorite Button CITE Translate Facebook Share Twitter Tweet Google+ Share standard error Word Origin See more synonyms on http://www.dictionary.com/browse/standard-error Thesaurus.com noun, Statistics. 1. the standard deviation of a distribution http://www.chegg.com/homework-help/definitions/standard-error-31 of a sample statistic, especially when the mean is used as the statistic. Origin of standard error Expand 1895-1900 1895-1900 Dictionary.com UnabridgedBased on the Random House Dictionary, © Random House, Inc. 2016. Cite This Source British Dictionary definitions for standard error definition of Expand standard error noun 1. (statistics) the estimated standard deviation of a parameter, the value of which is not known exactly Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollinsPublishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012 definition of standard Cite This Source standard error in Science Expand standard error The standard deviations of the sample in a frequency distribution, obtained by dividing the standard deviation by the total number of cases in the frequency distribution. The American Heritage® Science DictionaryCopyright © 2002. Published by Houghton Mifflin. All rights reserved. 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 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
Explore My list Advice Scholarships RENT/BUY SELL MY BOOKS STUDY HOME TEXTBOOK SOLUTIONS EXPERT Q&A TEST PREP HOME ACT PREP SAT PREP PRICING ACT pricing SAT pricing INTERNSHIPS & JOBS CAREER PROFILES ADVICE EXPLORE MY LIST ADVICE SCHOLARSHIPS Chegg home Books Study Tutors Test Prep Internships Colleges Home home / study / math / statistics and probability definitions / standard error Standard Error The standard error is the estimated standard deviation or measure of variability in the sampling distribution of a statistic. A low standard error means there is relatively less spread in the sampling distribution. The standard error indicates the likely accuracy of the sample mean as compared with the population mean. The standard error decreases as the sample size increases and approaches the size of the population. Sigma (σ) denotes the standard error; a subscript indicates the statistic. For example, the standard error of the mean is represented by σM. To find the standard error of the mean, divide the standard deviation by the square root of the sample size: , where σ is the standard deviation of the original sampling distribution and N is the sample size. See more Statistics and Probability topics Need more help understanding standard error? We've got you covered with our online study tools Q&A related to Standard Error Experts answer in as little as 30 minutes Q: 1.) YOU ROLL TWO FAIR DICE, A RED ONE AND A BLUE ONE: *WHAT IS THE PROBABILITY OF GETTING A SUM OF 5? A: See Answer Q: I wish to conduct an experiment to determine the effectiveness of a new reading program for third grade children in my local school district who need help with reading skills. What parameters would I need to establi... A: See Answer Q: Let P(A) = 0.2, P(B) = 0.4, and P(A U B) = 0.6. Find the values of (i) (ii) (iii) A: See Answer See more related Q&A Top Statistics and Proba