Percent Error If Accepted Value Is Zero
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Percent Error = 0
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Percent Error When True Value Is 0
are voted up and rise to the top How to calculate relative error when true value is zero? up vote 10 down vote favorite 3 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: $\text{relative percent error when expected value is zero error} = \frac{x_{true}-x_{test}}{x_{test}}$ Then the relative error is always 100%. Both methods seem useless. Is there another alternative? statistics share|cite|improve this question asked Feb 15 '14 at 22:41 okj 9511818 1 you need a maximum for that.. –Seyhmus Güngören Feb 15 '14 at 23:06 1 Simple and interesting question, indeed. Could you tell in which context you face this situation ? Depending on your answer, there are possible alternatives. –Claude Leibovici Feb 16 '14 at 6:24 1 @ClaudeLeibovici: I am doing a parameter estimation problem. I know the true parameter value ($x_{true}$), and I have simulation data from which I infer an estimate of the parameter ($x_{test}$). I want to quantify the error, and it seems that for my particular case relative error is more meaningful than absolute error. –okj Feb 17 '14 at 14:05 1 What about $\text{error} = 2 \frac{x_{true}-x_{test}}{x_{true}+x_{test}}$ if it is for an a posteriori analysis ? –Claude Leibovici Feb 17 '14 at 14:16 1 @okj. I am familiar with this situation. Either use the classical relative error and return $NaN$ if $x_{true}=0$ either adopt this small thing. It is always the same problem with that. You also can add a translation to the $x$'s to ge
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Can Percent Error Be Zero
Calculator In the real world, the data measured or used how to calculate relative error when true value is zero? is normally different from the true value. The error comes from the measurement inaccuracy or the approximation used http://math.stackexchange.com/questions/677852/how-to-calculate-relative-error-when-true-value-is-zero instead of the real data, for example use 3.14 instead of π. Normally people use absolute error, relative error, and percent error to represent such discrepancy: absolute error = |Vtrue - Vused| relative error = |(Vtrue http://www.calculator.net/percent-error-calculator.html - Vused)/Vtrue| (if Vtrue is not zero) percent error = |(Vtrue - Vused)/Vtrue| X 100 (if Vtrue is not zero) Where: Vtrue is the true value Vused is the value used The definitions above are based on the fact that the true values are known. In many situations, the true values are unknown. If so, people use the standard deviation to represent the error. Please check the standard deviation calculator. Math CalculatorsScientificFractionPercentageTimeTriangleVolumeNumber SequenceMore Math CalculatorsFinancial | Weight Loss | Math | Pregnancy | Other about us | sitemap © 2008 - 2016 calculator.net
Life in the Universe Labs Foundational Labs Observational Labs Advanced Labs Origins of Life in the Universe Labs Introduction to Color Imaging Properties of Exoplanets General Astronomy Telescopes Part 1: Using the Stars http://astro.physics.uiowa.edu/ITU/glossary/percent-error-formula/ Tutorials Aligning and Animating Images Coordinates in MaxIm Fits Header Graphing in Maxim Image Calibration in Maxim Importing Images into MaxIm Importing Images into Rspec Measuring Magnitude in Maxim Observing with Rigel Photometry in Maxim Producing Color Images Stacking Images Using SpectraSuite Software Using Tablet Applications Using the Rise and Set Calculator on Rigel Wavelength Calibration in Rspec Glossary Kepler's Third Law Significant Figures Percent Error Formula percent error Small-Angle Formula Stellar Parallax Finder Chart Iowa Robotic Telescope Sidebar[Skip] Glossary Index Kepler's Third LawSignificant FiguresPercent Error FormulaSmall-Angle FormulaStellar ParallaxFinder Chart Percent Error Formula When you calculate results that are aiming for known values, the percent error formula is useful tool for determining the precision of your calculations. The formula is given by: The experimental value is your calculated value, and the theoretical value is your known value. value is zero A percentage very close to zero means you are very close to your targeted value, which is good. It is always necessary to understand the cause of the error, such as whether it is due to the imprecision of your equipment, your own estimations, or a mistake in your experiment.Example: The 17th century Danish astronomer, Ole Rømer, observed that the periods of the satellites of Jupiter would appear to fluctuate depending on the distance of Jupiter from Earth. The further away Jupiter was, the longer the satellites would take to appear from behind the planet. In 1676, he determined that this phenomenon was due to the fact that the speed of light was finite, and subsequently estimated its velocity to be approximately 220,000 km/s. The current accepted value of the speed of light is almost 299,800 km/s. What was the percent error of Rømer's estimate?Solution:experimental value = 220,000 km/s = 2.2 x 108 m/stheoretical value = 299,800 km/s 2.998 x 108 m/s So Rømer was quite a bit off by our standards today, but considering he came up with this estimate at a time when a majority of respected astronomers, like Cassini, still believed that the speed of light was infinite, his