Percent Error When Expected Value Is Zero
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Percent Error = 0
with us Cross Validated Questions Tags Users Badges Unanswered Ask Question _ Cross Validated is a question and answer site for people relative error when true value is zero 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 question Anybody can answer The best percent error when true value is 0 answers are voted up and rise to the top How to calculate relative error when the true value is zero? up vote 7 down vote favorite 1 How do I calculate relative error when the true value is zero? Say I have $x_{true} = 0$ and $x_{test}$. If I define relative error as: $\text{relative error} = \frac{x_{true}-x_{test}}{x_{true}}$ Then the relative error is always undefined. If instead I use the definition:
How To Calculate Relative Error When True Value Is Zero?
$\text{relative error} = \frac{x_{true}-x_{test}}{x_{test}}$ Then the relative error is always 100%. Both methods seem useless. Is there another alternative? error measurement-error share|improve this question asked Feb 15 '14 at 22:43 okj 1434 I had the exact same question regarding parameter bias in Monte Carlo simulations, using your first definition. One of my parameter values was 0, so I didn't calculate parameter bias for this particular parameter... –Patrick Coulombe Feb 15 '14 at 23:12 1 The solution is to not use relative error in this case. –Marc Claesen Feb 15 '14 at 23:30 One option, which responds to the intent if not the letter of your question, is to use a slightly different measure that closely agrees with relative error when the relative error is small, such as $2(x_\text{true} - x_\text{test}) / (|x_\text{true}| + |x_\text{test}|)$. (Use $0$ when $x_\text{true}=x_\text{test}=0$.) This particular solution is universal in that it is invariant under a change in the unit of measure (because it involves no arbitrary constants). –whuber♦ May 6 '14 at 17:54 @whuber I think you should consider posting that comment as an answer, since it seems superior to the existing ones. –Silverfish Mar 15 at 8:04 @Silver You're right--I apologize for posting an answer
one value is zero(0)? For example: percentage of error when Actual Value is 0 and Recorded Value is .1 Topics Applied Mathematics × 1,096 Questions 119,265 Followers Follow Calculations × 1,873 Questions 240 can percent error be zero Followers Follow Percentages × Topic pending review Follow Mathematics × 1,790 Questions 45,785 Followers relative error zero denominator Follow Mar 7, 2014 Share Facebook Twitter LinkedIn Google+ 0 / 1 All Answers (8) R. C. Mittal · Indian Institute
How To Calculate Percent Error When Theoretical Value Is Zero
of Technology Roorkee This is not necessary that one should find relative and % error for very small values. They are important when your actual(exact) value is very large. Mar 7, 2014 Geen Paul http://stats.stackexchange.com/questions/86708/how-to-calculate-relative-error-when-the-true-value-is-zero V · Tata Consultancy Services Limited Sir, I am working on Finite Element Analysis for an aerospace company in USA. The Company Spoke wants to get ma computed values sometimes validated by hand calculation. And sometimes the actual stress value may be zero. but the numerical analysis value varies by less than 1. And I was wondering how to make it in percentage. ! Mar 7, 2014 Hanno Krieger · https://www.researchgate.net/post/How_to_calculate_percentage_error_when_one_value_is_zero02 retired from Justus-Liebig-Universität Gießen I try to follow. If you get experimental results which allow a statistical analysis (gauss or poisson distributions) you use the established methods of error calculation. If you have only a small number of results it´s without any sense to calculate average values or medians etc. So if you spent a little bit more information (possibly with an example) I could find a tip. Mar 7, 2014 Hanno Krieger · retired from Justus-Liebig-Universität Gießen Like to add a remark. You can calculate errors not before you define a reference value. Thats what I´m missing most in your question. Mar 7, 2014 Joseph Dubrovkin · Western Galilee College You can calculate lim(deltaX/X) when X->0 using l'Hôpital's rule or graphically. The relative error is important when X->0. E.g., detection limit. Mar 8, 2014 Luca Dimiccoli · Vrije Universiteit Brussel Notice that deltaX does not satisfy all the hypotheses of the Hopital's rule. Moreover, the limit that is suggested does not exist. Mar 8, 2014 Manuel Antonio Borregales Reverón · University of Bergen I think the key is the value of references that you can use, for example I try to simulate a sum of forces acting on an object. In my study the summ
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