Binary Standard Error
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Standard Deviation Binary
Learn more about hiring developers or posting ads with us Cross Validated Questions Tags Users Badges Unanswered Ask Question standard deviation binary distribution _ Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. Join them; it only takes a minute: Sign confidence interval binary up Here's how it works: Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top How to calculate SE for a binary measure, given sample size n and known population mean? up vote 2 down vote favorite Lets say there is population of measurements X, and 50% of those X = 1, and the the
T Test Binary
other 50% = 0. Therefore, population mean = 0.5 given a random sample of size n, how do you determine the SE of that sample? Or, in layman's terms, if you flip a coin n times, how far can you expect to deviate from 50% heads and 50% tails? standard-error binary-data share|improve this question edited Jun 4 '11 at 10:46 mbq 17.7k849102 asked Jun 3 '11 at 23:01 Matt Munson 320211 add a comment| 1 Answer 1 active oldest votes up vote 6 down vote accepted Each outcome may be thought of a bernoulli trial with success probability $p$. A ${\rm Bernoulli}(p)$ random variable has mean $p$ and variance $p(1-p)$. Therefore the average of $n$ independent ${\rm Bernoulli}(p)$ random variables also has mean $p$ and variance $p(1-p)/n$, which is typically estimate by $\hat{p}(1 - \hat{p})/n$. So, in your example the standard error of your mean estimate is $1/\sqrt{4n}$. share|improve this answer answered Jun 3 '11 at 23:08 Macro 24.1k496130 Your calculated standard error is what I expected the standard deviation to be (i.e., $\sqrt{Var}$). Why is that here we do not need to divide the standa
standard deviation of binary? For the discussion of math. Duh. Moderators: gmalivuk, Moderators General, Prelates Post Reply Print view Search Advanced search 17 posts • Page 1 of 1 mosc Doesn't care what you think. Posts: 5315 Joined: Fri May 11, 2007 3:03 pm UTC standard correlation binary deviation of binary? Quote Postby mosc » Mon Sep 22, 2008 11:36 pm UTC Basically I standard error binomial distribution have a whole lot of data with a yes/no result. X runs and Z yesses. I can easily determine the average chance of
Standard Deviation Of Yes No Data
a yes per run but I'm getting stuck on the standard deviation.Basically, if I flip a coin 100 times and get 53 heads, what's my + or - % error? My standard devation.This is not school related. I'm trying to http://stats.stackexchange.com/questions/11541/how-to-calculate-se-for-a-binary-measure-given-sample-size-n-and-known-populati determine how accurate my drop rate analysis was for a video game. Title: It was given by the XKCD moderators to me because they didn't care what I thought (I made some rantings, etc). I care what YOU think, the joke is forums.xkcd doesn't care what I think. Top Xanthir My HERO!!! Posts: 5002 Joined: Tue Feb 20, 2007 12:49 am UTC Location: The Googleplex Contact: Contact Xanthir Website Twitter Re: standard deviation of binary? Quote Postby Xanthir » http://echochamber.me/viewtopic.php?t=28102 Mon Sep 22, 2008 11:41 pm UTC For a Bernoulli random variable (a variable with two outcomes, where one outcome has p chance and the other has (1-p) chance), the variance is just p(1-p). Standard deviation is the square root of the variance. (defun fibs (n &optional (a 1) (b 1)) (take n (unfold '+ a b))) Top mosc Doesn't care what you think. Posts: 5315 Joined: Fri May 11, 2007 3:03 pm UTC Re: standard deviation of binary? Quote Postby mosc » Tue Sep 23, 2008 2:42 pm UTC so if it's 53/100my p=.53 Variance=.53(1-.53) = .2491standard deviation = sqrt(.2491) = ~.5so... I know the accuracy within .5? that's pretty bad considering it's 0 to 1my sample size is irrelevant? Title: It was given by the XKCD moderators to me because they didn't care what I thought (I made some rantings, etc). I care what YOU think, the joke is forums.xkcd doesn't care what I think. Top headprogrammingczar Posts: 3067 Joined: Mon Oct 22, 2007 5:28 pm UTC Location: Beaming you up Re: standard deviation of binary? Quote Postby headprogrammingczar » Tue Sep 23, 2008 3:29 pm UTC mosc wrote:Basically, if I flip a coin 100 times and get 53 heads, what's my + or - % error? My standard devation.This looks a lot like a misconception of what standard deviation is... to: Lecture | Video ) Let's use the data from the last lecture: In a recent survey, it standard error was found that 85% of households in the United States have High-Speed Internet. If you take a sample of 18 households, what is the standard deviation binary probability that exactly 15 will have High-Speed Internet? Here are the equations for mean and standard deviation of a binomial random variables: Figure 1. We can now easily plug in the number of trials and the probability of success to come up with our answers: Figure 2. The mean is 15.3, and the standard deviation is 1.515. Back to Top Home About Contact Calculators SPSS Tutorials Algebra Review © 2010-2012 StatisticsLectures.com The Elsmar Cove Business Systems and Standards Discussion Forums > Common Quality Assurance Processes and Tools > Statistical Analysis Tools, Techniques and SPC Calculating Standard Error for a percentage (binary question) from a sample survey Forum User Name Keep Me Logged In Password Register Photo AlbumsBlogs FAQ Community Calendar Today's Posts Search Elsmar Cove Forum Visitor Notice(s) Some people have been having Password Reset issues (especially "Hotmail" accounts). If you have a problem, contact the Peachfarm Internet Properties IT techs directly at peachfarmllc {at} neomailbox.ch (Switzerland) and we will resolve your problem(s) within 12 hours. Community Links Social Groups Pictures & Albums Registered Visitors Search the Cove Forum Discussion Threads Show Threads Show Posts Tag Search Advanced Forum Search Search Elsmar Unanswered Threads Find All Thanked Posts Search Blogs Tag Search Advanced Forum Search Go to Page... Calculating Standard Error for a percentage (binary question) from a sample survey Elsmar XML RSS Feed Monitor the Elsmar Forum Monitor New Forum Posts Sponsor Links Courtesy Quick Links Links that Cove visitors will find useful in your quest for knowledge: International Standards Bodies - World Wide Standards Bodies ASQ - American Society for Quality International Standards Organization - ISO Standards and Information Howard'sInternational Quality Services Marcelo Antunes'SQR Consulting, andMedical Devices Expert Forum Bob DoeringBob Doering's Blogs and,Correct SPC - Precision Machining NIST's Engineering Statistics Handbook IRCA - International Register of Certified Auditors SAE - Society of Automotive Engineers Quality Digest IEST - Institute of Environmental Sciences and Technology Thread Tools Search this Thread Rating: Display Modes Post Number #1 16th March 2008, 01:55 AM seirawan Total Posts: 8 Calculating Standard Error for a percentage (binary question) from a sample survey I want to calculate the standard error for a percentage