Calculation Of Standard Error Of A Ratio
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Calculation Percent Error
($\bar X$) and standard deviation of ($STD_X$), the second set of data also has the average value of ($\bar Y$) and standard deviation of ($STD_Y$). I want to find out the standard error or standard deviation of a percentage change of data set 2 compared to data set 1. So I have $((\bar Y-\bar X)/\bar X)*100$. Now my question is, how do you take into account the standard deviations for this percentage value? mathematical-statistics standard-deviation standard-error share|improve this question edited Feb 6 '13 at 13:26 gung 73.6k19160307 asked Feb 6 '13 at 12:46 Lucy 26112 Dou you know how $X$ and $Y$ are distributed? –Sven Hohenstein Feb 6 '13 at 13:33 1 I'm too afraid of the hardcore statisticians here to post a real answer, so I post it here: I was told that if you want to normalize your data $y \pm \Delta y$ to $z \pm \Delta z$ $$x = 100 \times \frac{y}{z},$$ you have to calculate the standard deviation $\Delta x$ as follows: $$\Delta x = x \sqrt{\left ( \frac{\Delta y}{y} \right )^2 + \lef
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Margin Of Error Calculation
Parenting Science & Mathematics Social Science Society & Culture Sports Travel Yahoo Products International sampling error calculation Argentina Australia Brazil Canada France Germany India Indonesia Italy Malaysia Mexico New Zealand Philippines Quebec Singapore Taiwan Hong Kong Spain Thailand UK calculation confidence interval & Ireland Vietnam Espanol About About Answers Community Guidelines Leaderboard Knowledge Partners Points & Levels Blog Safety Tips Science & Mathematics Mathematics Next What is the standard error of a ratio? I have two quantities, http://stats.stackexchange.com/questions/49399/standard-deviation-of-a-ratio-percentage-change each of which has an estimated standard error. What is the standard error of the ratio of these two quantities? Follow 3 answers 3 Report Abuse Are you sure you want to delete this answer? Yes No Sorry, something has gone wrong. Trending Now Caelus Energy Thomas Rhett Carli Lloyd John Cena Sasha Banks Credit Cards Britney Spears Full House iPhone 7 2017 Cars Answers Relevance Rating Newest Oldest Best Answer: if https://answers.yahoo.com/question/?qid=20071123041504AAtKrM2 by ratio u mean a quotient (dividing one by another) then u take the highest value on the top and divide it by the lowest value on the bottom and then subtract the lowest value from the top and divide by the highest value on the bottom this number will be your standard error Source(s): ashley b · 9 years ago 0 Thumbs up 1 Thumbs down Comment Add a comment Submit · just now Report Abuse Let's say you've got a ration "x/y". To find an error, you need to see that is the maximum deviation from the base value what both x and y change: d(x/y) = dx*1/y - dy*x/y^2 = (dx/x)*(x/y) - (dy/y)*(x/y) Note that dx/x and dy/y can be treated as the errors of your quantities. Also, the maximum total error is a square root of the individual terms in the above euqation (imagine right tirangle). Hence the total error is Err = (x/y)*Sqrt( Err(x)^2 + Err(y)^2 ) vadimsov · 9 years ago 2 Thumbs up 0 Thumbs down Comment Add a comment Submit · just now Report Abuse hmm..i think it's the same as the ratio of both errors that you got. cflakez · 9 years ago 0 Thumbs up 2 Thumbs down Comment Add a comment Submit &
of the Ratio of two means Tweet Welcome to Talk Stats! Join the discussion today by registering your FREE account. http://www.talkstats.com/showthread.php/16499-Standard-deviation-of-the-Ratio-of-two-means Membership benefits: • Get your questions answered by community gurus and expert researchers. • Exchange your learning and research experience among peers and get advice and insight. Join Today! + Reply to Thread Results 1 to 8 of 8 Thread: Standard deviation of the Ratio of two means Thread Tools Show Printable Version Email this standard error Page… Subscribe to this Thread… Display Linear Mode Switch to Hybrid Mode Switch to Threaded Mode 03-02-201104:34 PM #1 shanshuiii View Profile View Forum Posts Give Away Points Posts 3 Thanks 0 Thanked 0 Times in 0 Posts Standard deviation of the Ratio of two means Hi, guys I have two sets of data: A and calculation of standard B. I want to calculate a ratio of average(A)/average(B). I wonder if there is a way to get the standard deviation of this ratio? thanks. Reply With Quote 03-02-201106:13 PM #2 ichbin View Profile View Forum Posts Posts 194 Thanks 1 Thanked 14 Times in 13 Posts Re: Standard deviation of the Ratio of two means Suppose avg(A) and avg(B) are normally distributed. This will be exactly true if A and B are normally distributed, because a sum of normally distributed deviates is itself normally distributed. It will be approximately true for large samples however A and B are distributed, by the central limit theorem. Then what you are asking is how the ratio of two independent normal deviates is distributed. The answer is the Cauchy distribution. (http://en.wikipedia.org/wiki/Normal_..._distributions) The Cauchy distribution has infinite variance, so your ratio's standard deviation is infinite. Reply With Quote 03-02-201111:09 PM #3 BGM View Profile View Forum Posts TS Contributor Posts 3,016 Thanks 12 Thanked 564 Times in 536 Posts