Calculating Standard Deviation From Standard Error
Contents |
Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site About Us calculating standard deviation from standard error of the mean Learn more about Stack Overflow the company Business Learn more about hiring developers calculating standard error from standard deviation in excel or posting ads with us Cross Validated Questions Tags Users Badges Unanswered Ask Question _ Cross Validated is a question and
Calculating Variance Standard Error
answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a
Calculating Confidence Interval Standard Error
question Anybody can answer The best answers are voted up and rise to the top Converting standard error to standard deviation? up vote 17 down vote favorite 6 Is it sensible to convert standard error to standard deviation? And if so, is this formula appropriate? $$SE = \frac{SD}{\sqrt{N}}$$ standard-deviation standard-error share|improve this question edited Jul 16 '12 at 11:34 Macro 24.2k496130 asked Sep 13 '11 at 13:54 Bern calculating standard deviation variance 86113 add a comment| 1 Answer 1 active oldest votes up vote 21 down vote Standard error refers to the standard deviation of the sampling distribution of a statistic. Whether or not that formula is appropriate depends on what statistic we are talking about. The standard deviation of the sample mean is $\sigma/\sqrt{n}$ where $\sigma$ is the (population) standard deviation of the data and $n$ is the sample size - this may be what you're referring to. So, if it is the standard error of the sample mean you're referring to then, yes, that formula is appropriate. In general, the standard deviation of a statistic is not given by the formula you gave. The relationship between the standard deviation of a statistic and the standard deviation of the data depends on what statistic we're talking about. For example, the standard error of the sample standard deviation (more info here) from a normally distributed sample of size $n$ is $$ \sigma \cdot \frac{\Gamma( \frac{n-1}{2} )}{ \Gamma(n/2) } \cdot \sqrt{\frac{n-1}{2} - \left( \frac{ \Gamma(n/2) }{ \Gamma( \frac{n-1}{2} ) } \right)^2 } $$ In other situations there may be no relationship at all between the standard error and the population standard deviation. For example, if
Electrical Calculators Digital Computations Mechanical Calculators Environmental Calculators Finance Calculators All Finance Categories Mortgage Calculators Loan Calculators Interest Calculators Investment Calculators Credit & Debt Calculators Profit & Loss Calculators Tax Calculators Insurance Calculators Financial Ratios Finance
Variance Standard Error
Chart Currency Converter Math Tables Multiplication Division Addition Worksheets @: Home»Math Worksheets»Statistics Worksheet convert standard error to standard deviation calculator Calculate Standard Deviation from Standard Error This worksheet help users to understand the relationship between the standard deviation and standard using standard deviation to find standard error error. The step by step calculation for for calculating standard deviation from standard error illustrates how the values are being exchanged and used in the formula to find the standard deviation. Standard http://stats.stackexchange.com/questions/15505/converting-standard-error-to-standard-deviation Deviation In the theory of statistics and probability for data analysis, standard deviation is a widely used method to measure the variability or dispersion value or to estimate the degree of dispersion of the individual data of sample population. Standard Error In the theory of statistics and probability for data analysis, Standard Error is the term used in statistics to estimate the sample mean http://ncalculators.com/math-worksheets/calculate-standard-deviation-standard-error.htm dispersion from the population mean. The relationship between standard deviation and standard error can be understood by the below formula From the above formula Standard deviation (s) = Standard Error * √n Variance = s2 The below solved example problem illustrates how to calculate standard deviation from standard error. Solved Example ProblemFor the set of 9 inputs, the standard error is 20.31 then what is the value standard deviation? Standard deviation (s) = Standard Error * √n = 20.31 x √9 = 20.31 x 3 s = 60.93 variance = σ2 = 60.932 = 3712.46 For more information for dispersion value estimation, go to how to estimate sample & population standard deviation.
Similar Worksheets How to Calculate Standard Deviation from Probability & Samples How to Calculate Standard Error Worksheet for Standard Deviation Calculation Sample & Population Standard Deviation Difference & Usages Worksheet for how to Calculate Antilog Worksheet for how to Calculate Permutations nPr and Combination nCr Math Worksheet to calculate Polynomial Addition Worksheet for how to calculate T Test Worksheet for how to calculate Class Interval Arithmetic Mean Worksheet for how to calculate Hypergeometric Distribution Statistics Math Worksheets Mulltiplicationproportion 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 a statistic,[1] most commonly of https://en.wikipedia.org/wiki/Standard_error the mean. The term may also be used to refer to an estimate of that standard deviation, derived from a particular sample used to compute the estimate. For example, the sample mean is the usual estimator http://stattrek.com/estimation/standard-error.aspx?Tutorial=AP 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 of sampled means (with its own mean and variance). standard error 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 sample of data being analyzed at the time. In regression analysis, the term calculating standard deviation "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 expected to receive 52% of the final vote, with a margin of error of 2%. In this scenario, the 2000 voters are a sample from all the ac