Mean Error Propagation Length
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The approach to uncertainty analysis that has been followed up to this point in the discussion has been what is called a top-down approach. Uncertainty components are estimated from direct repetitions of the measurement result. To contrast this with a propagation error propagation formula of error approach, consider the simple example where we estimate the area of error propagation calculator a rectangle from replicate measurements of length and width. The area $$ area = length \cdot width $$ can be
Error Propagation Physics
computed from each replicate. The standard deviation of the reported area is estimated directly from the replicates of area. Advantages of top-down approach This approach has the following advantages: proper treatment of covariances between
Error Propagation Chemistry
measurements of length and width proper treatment of unsuspected sources of error that would emerge if measurements covered a range of operating conditions and a sufficiently long time period independence from propagation of error model Propagation of error approach combines estimates from individual auxiliary measurements The formal propagation of error approach is to compute: standard deviation from the length measurements standard deviation from the width measurements and combine error propagation average the two into a standard deviation for area using the approximation for products of two variables (ignoring a possible covariance between length and width), $$ s_{area} = \sqrt{width^2 \cdot s_{length}^2 + length^2 \cdot s_{width}^2} $$ Exact formula Goodman (1960) derived an exact formula for the variance between two products. Given two random variables, \(x\) and \(y\) (correspond to width and length in the above approximate formula), the exact formula for the variance is: $$ V(\bar{x} \bar{y}) = \frac{1}{n} \left[ X^2 V(y) + Y^2 V(x) + 2XYE_{11} + 2X\frac{E_{12}}{n} + 2Y\frac{E_{21}}{n} + \frac{V(x) V(y)}{n} + \frac{Cov((\Delta x)^2, (\Delta y)^2) -E_{11}^2 }{n^2} \right] $$ with \(X = E(x)\) and \(Y = E(y)\) (corresponds to width and length, respectively, in the approximate formula) \(V(x)\) is the variance of \(x\) and \(V(y)\) is the variance \(y\) (corresponds to \(s^2\) for width and length, respectively, in the approximate formula) \( E_{ij} = {(\Delta x)^i, (\Delta y)^j}\) where \( \Delta x = x - X \) and \( \Delta y = y - Y \) \( Cov((\Delta x)^2, (\Delta y)^2) = E_{22} - V(x) V(y) \) To obtain the standard deviation, simply take the square root of the above formula. Also, an estimate of the s
Postal codes: USA: 81657, Canada: T5A 0A7 What does MEPL stand for? MEPL stands for Mean Error Propagation Length Suggest new definition This definition
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appears very rarely and is found in the following Acronym Finder error propagation excel categories:Science, medicine, engineering, etc. See other definitions of MEPL Other Resources: We have 9 other meanings of notes on the use of propagation of error formulas MEPL in our Acronym Attic Link/Page Citation Page/Link Page URL: HTML link: MEPL Citations MLA style: "MEPL." Acronym Finder. 2016. AcronymFinder.com 20 Oct. 2016 http://www.acronymfinder.com/Mean-Error-Propagation-Length-(MEPL).html Chicago style: http://www.itl.nist.gov/div898/handbook/mpc/section5/mpc55.htm Acronym Finder. S.v. "MEPL." Retrieved October 20 2016 from http://www.acronymfinder.com/Mean-Error-Propagation-Length-(MEPL).html APA style: MEPL. (n.d.) Acronym Finder. (2016). Retrieved October 20 2016 from http://www.acronymfinder.com/Mean-Error-Propagation-Length-(MEPL).html Abbreviation Database Surfer « PreviousNext » Middle East Peace InitiativeMontessori Educational Programs InternationalMoscow Engineering Physics InstituteMediterranean Programme for International Environmental Law and Negotiation (Athens, Greece)Middle East Policy Initiative ForumMetal Plasma Immersion Ion Implantation http://www.acronymfinder.com/Mean-Error-Propagation-Length-(MEPL).html and DepositionManagerial Education and Personal Information Systems (Linux software)Middle East Peace and Justice AllianceManya Education Pvt. Ltd. (est. 2002; India)Mary Evans Picture Library (est. 1964; London, UK)Middle East Police and Law Enforcement Exhibition (exhibition of international law enforcement suppliersMarine Emergency Preparedness Liaison OfficerMotor Evoked Potential Latency Time (motor processing)Malignant Epithelioid Pleural Mesothelioma (human pathology)Master of Environmental Policy and ManagementMasters in Engineering Project Management (University of Melbourne; Australia)Middle East Precious Metals (est. 1996; Singapore)Mouse Embryo Palate MesenchymeMovement for an Equal Public ModelMurine Embryonic Palate Mesenchyme Index: # A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Home Help About What's New? Suggest new acronym Link to Us Search Tools State Abbreviations Press Partners Contributors Return Links Statistics Fun Buzzword Acronyms! Read the AF Blog The World's most comprehensive professionally edited abbreviations and acronyms database All trademarks/service marks referenced on this site are properties of their respective owners. The Acronym
uncertainty of an answer obtained from a calculation. Every time data are measured, there is an uncertainty associated with that measurement. (Refer to guide to Measurement http://physics.appstate.edu/undergraduate-programs/laboratory/resources/error-propagation and Uncertainty.) If these measurements used in your calculation have some uncertainty associated with them, then the final answer will, of course, have some level of uncertainty. For instance, in lab you might measure an object's position at different times in order to find the object's average velocity. Since both distance and time measurements have uncertainties associated with them, those uncertainties error propagation follow the numbers throughout the calculations and eventually affect your final answer for the velocity of that object. How would you determine the uncertainty in your calculated values? In lab, graphs are often used where LoggerPro software calculates uncertainties in slope and intercept values for you. In other classes, like chemistry, there are particular ways to calculate uncertainties. In fact, propagation of error since uncertainty calculations are based on statistics, there are as many different ways to determine uncertainties as there are statistical methods. The error propagation methods presented in this guide are a set of general rules that will be consistently used for all levels of physics classes in this department. In the following examples: q is the result of a mathematical operation δ is the uncertainty associated with a measurement. For example, if you have a measurement that looks like this: m = 20.4 kg ±0.2 kg Thenq = 20.4 kg and δm = 0.2 kg First Step: Make sure that your units are consistent Make sure that you are using SI units and that they are consistent. If you are converting between unit systems, then you are probably multiplying your value by a constant. Please see the following rule on how to use constants. Logger Pro If you are using a curve fit generated by Logger Pro, please use the uncertainty associated with the parameters that Logger Pro give you. In the above linear fit, m = 0.9000 andδm
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