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# Topic: Absolute deviation

###### In the News (Sun 23 Jun 19)

 Defense Procurement and Acquisition Policy - Contract Pricing Reference Guide The mean absolute deviation (MAD) is the average absolute difference between the observed values and the arithmetic mean (average) for all values in the data set. Calculate the deviation between each observation and the mean of the data set; convert the deviation to its absolute value; and sum the absolute deviations. The deviations for Department A are the same as we calculated in calculating the mean absolute deviation. www.acq.osd.mil /dpap/contractpricing/vol2chap3.htm   (6386 words)

 Fundamentals of Data Analysis Absolute deviation and relative percentage deviation both measure the accuracy of a result but can only be used when the accepted value is known. The absolute deviation is a measure of the accuracy, and not the error itself. The relative percentage deviation is given by the absolute deviation divided by the accepted value and multiplied by 100%. www.utc.edu /~tbilgild/fundofda.html   (1978 words)

 1.3.5.6. Measures of Scale In summary, the variance, standard deviation, average absolute deviation, and median absolute deviation measure both aspects of the variability; that is, the variability near the center and the variability in the tails. The standard deviation is 0.997, the median absolute deviation is 0.681, and the range is 7.87. The standard deviation is 1.417, the median absolute deviation is 0.706, and the range is 17.556. www.itl.nist.gov /div898/handbook/eda/section3/eda356.htm   (1483 words)

 Welcome to Wateright Deviations above and below the mean application are judged only by the size of the deviation, not according to whether they represent cases of excess or deficient water. Because of the absolute value bars, the applications 8 and 12 both contribute absolute deviations of 2 to D. Because of the "linear" feature of D, the 14 contributes twice as much to D as does the 12, because its deviation from the mean is twice as large. Others argue that large deviations are far more significant than small ones, and the calculation of D should penalize deviations more than proportionate to their magnitude. www.wateright.org /941102.asp   (1994 words)

 Absolute deviation - GNU Scientific Library -- Reference Manual   (Site not responding. Last check: 2007-10-25) The absolute deviation from the mean is defined as, The absolute deviation from the mean provides a more robust measure of the width of a distribution than the variance. (and want to avoid recomputing it), or wish to calculate the absolute deviation relative to another value (such as zero, or the median). www.gnu.org /software/gsl/manual/html_node/Absolute-deviation.html   (115 words)

 Median and Mean table 1 shows the absolute and squared deviations of the numbers 2, 3, 4, 9, and 16 from their median of 4 and their mean of 6.8. On the other hand, the sum of squared deviations from the median (174) is larger than the sum of squared deviations from the mean (134.8). Absolute and squared deviations from the median of 3 and the mean of 6.8. cnx.org /content/m11165/latest   (314 words)

 Iowa Redistricting Plan 2 Absolute deviation: The difference, expressed as a positive number, between the actual population in a district and the ideal population for that district. Absolute mean deviation: The sum of the absolute deviations of all districts in a plan divided by the number of districts. Absolute perimeter score: The difference in miles, expressed as a positive number, between the total perimeter score of a Senate or House legislative redistricting plan, and the total perimeter score of the underlying Congressional redistricting plan. www.legis.state.ia.us /Redist/June2001report.htm   (3623 words)

 Learning from Data This total deviation however, cannot be used to measure the spread because the value is always zero regardless what kind of data we have. As one nice properties of arithmetic mean, a half of the data have greater value than the mean (produce positive deviation) and the other half are smaller then the arithmetic mean, (produce negative deviation). The problem with absolute is the discontinuity at the origin (in this case at the central tendency). people.revoledu.com /kardi/tutorial/Statistics/Variation.htm   (853 words)

 ntsch01 The Root Mean Square of the Absolute Deviations is the square root of the average of their squares. The sample Standard Deviation is the Root Mean Square of the Absolute Deviations, with a divisor of n-1 instead of n. The same cannot be said for the Mean Absolute Deviation; that is, with the Mean Absolute Deviation, the divisor to be used (n or n-1 or whatever) depends upon the parent distribution whose Mean Absolute Deviation is being estimated. www.uic.edu /classes/idsc/ids570/IPSnotes/ch01d.doc   (637 words)

 Variability Part 1   (Site not responding. Last check: 2007-10-25) Compare the mean absolute deviation, mad, and the population standard deviation, sigma, for the data in (1). The purpose of this exploration is to further examine the concept of a deviation measurement. In Exploration II, we investigated mad, the average absolute value of the distances of the measurements from the mean as a measure of variation. faculty.frostburg.edu /math/monline/stat/32_p1.html   (1521 words)

 I'm not mad about MAD   (Site not responding. Last check: 2007-10-25) The mean is 3.5, the variance is 2.917 and the mean absolute deviation is 1.5. Now find the mean absolute deviation within each sample of the individual dice values around their sample mean. Thus the sample deviations yields an underestimate of the true value of the population deviation of 1.5. exploringdata.cqu.edu.au /why_var.htm   (519 words)

 WinSurvey: News A high standard deviation indicates that values deviate more from the mean - are more spread out - than samples with a smaller standard deviation. Absolute deviation: Here the absolute values of the differences (and not the differences) from the mean are summed, because adding the positve and negative values of differences in a distribution from its mean, will always be 0. The absolute value of negative 5 (-5) is 5, just as the absolute value of positive 5 is 5. www.winsurvey.com /know-how/statistics.htm   (645 words)

 Reporting Laboratory Data The measure of the accuracy of an experimental value is reported as Absolute Error or Percent Error. The Absolute Deviation or Absolute Difference of each measurement is the difference of each measurement from the mean or average: The Average Deviation or Average Difference is the average of all of the absolute deviations. mciunix.mciu.k12.pa.us /~whsweb/faculty/cbrandt/aplabdata.htm   (753 words)

 Instability of least squares, least absolute deviation and least median of squares linear regression, with a comment by ... Instability of least squares, least absolute deviation and least median of squares linear regression, with a comment by Stephen Portnoy and Ivan Mizera and a rejoinder by the author, Steven P. Ellis Instability of least squares, least absolute deviation and least median of squares linear regression, with a comment by Stephen Portnoy and Ivan Mizera and a rejoinder by the author It is known that least absolute deviation (LAD) and least median of squares (LMS) linear regression can exhibit instability at data sets that are far from collinear. projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.ss/1028905829   (1663 words)

 Abstract: Least Absolute Deviation Regression   (Site not responding. Last check: 2007-10-25) A Report on Least Absolute Deviation Regression with Ordinary Linear Programming In this paper it is our purpose to revisit the least absolute deviation estimation in regression analysis, consider some of its theoretical properties, and consider its implementation from a computational mathematical programming point of view. We also consider goodness of fit statistics as well as approximate distributions of the associate test statistics for the parameters. lipas.uwasa.fi /~ts/publicat/robu.html   (152 words)

 Least Absolute Deviation Regression (LAD) in Blossom Statistics LAD regression differs from least squares (OLS) regression in that the sum of the absolute, not squared, deviations of the fit from the observed values is minimized to obtain estimates. Notice also that both the sum of absolute deviations minimized in LAD regression and the sum of weighted absolute deviations minimized in regression quantiles are reported. The weights used when minimizing sums of absolute deviations in regression quantiles are τ for positive residuals and 1 - τ for zero and negative residuals, where 0 ≤ τ ≤ 1 is the selected quantile with QUANT = num. www.mesc.usgs.gov /products/publications/10002/lad.htm   (5865 words)

 ABSOLUTE! Diplomacy Zine The newsletter is nicknamed a "zine," short for "fan-zine." The term is borrowed from those wonderful sci-fi fans who made fan zines about their favorite Star Trek or Blake7, (or Dr. Who, etc.), episodes. It is a mathmatical way of averaging the main sample of something. Varience is the flyer of ABSOLUTE!/Standard Deviation, used basically to correct errors in the adjudication, but also was once used to report a local game with daily deadlines. users.net-gate.com /pdkenny   (517 words)

 GNU Scientific Library -- Reference Manual - Statistics More advanced functions allow you to calculate absolute deviations, skewness, and kurtosis as well as the median and arbitrary percentiles. The standard deviation is defined as the square root of the variance. This function computes the weighted absolute deviation from the weighted mean of www.math.umn.edu /systems_guide/gsl-1.3/gsl-ref_20.html   (1468 words)

 Average Absolute Deviation I have been ruminating briefly about average absolute deviation on some ideas I am fleshing out concerning a fast and simple way to measure momentum versus reversal during a given period. This would not be a candidate for the Minister of non-predictive studies, (a minister with a very dour look recently, due to his inability to play tennis during the last 8 days because of rain, losses and romance). Such are the unintended consequences, the fruits of very preliminary ruminations on fast and simple methods for determining non-randomness with the average absolute deviation. www.dailyspeculations.com /vic/Deviation.html   (494 words)

 Other (Non-Resistant) Measures of Spread = average of absolute deviations from the median You have to be careful using it if your data are skewed because it is sensitive to outliers. This is just about equal to the average squared deviation from the mean (if it was really the average you would divide by n) dept.econ.yorku.ca /~jbsmith/ec2500_1998/lecture8/Lecture8.html   (271 words)

 [No title] For the following data set find the range, mean absolute deviation, variance and standard deviation. Find the mean variance standard deviation z-score for a starting salary of \$32,000. Find the mean variance standard deviation z-score for a portfolio with a return of 8.4%. www.shsu.edu /~mgt_ves/BAN530/examIhw.doc   (1199 words)

 Standard deviation We can study the following quantitites: Deviation from the mean. Here is the example I did in class: Square root of the average of the squares of the deviations. www-stat.stanford.edu /~susan/courses/s60/split/node50.html   (83 words)

 SSRN-Least Absolute Deviation Estimation of Multi-Equation Linear Econometric Models: A Study Based on Monte Carlo ...   (Site not responding. Last check: 2007-10-25) SSRN-Least Absolute Deviation Estimation of Multi-Equation Linear Econometric Models: A Study Based on Monte Carlo Experiments by Sudhanshu Mishra, Madhuchhanda Dasgupta We investigate into the simulated (Monte Carlo) performance of some LAD-based estimators vis-a-vis that of the LS-based estimators for multi-equation linear econometric models of various error specifications - such as Normal, Cauchy, Gamma, Beta1 and Beta2 - in presence of outliers different in number and size. Mishra, S. and Dasgupta, Madhuchhanda, "Least Absolute Deviation Estimation of Multi-Equation Linear Econometric Models: A Study Based on Monte Carlo Experiments" (October 5, 2003). papers.ssrn.com /sol3/papers.cfm?abstract_id=454880   (283 words)

 Audio DesignLine | Testing audio fidelity with absolute dynamic range For example, the sonic experience is much warmer, clearer and crisper with the amplifier capable of reproducing a signal 100dB down from full scale (100dBFS) compared to the one capable of only 85dBFS. This range of linearity, referred to as Absolute Dynamic Range (ADR) and measured by a Deviation from Absolute Linearity (DAL) test, is an important, credible metric of fidelity for digital amplifiers by indicating ability to accurately reproduce the low level tones and harmonics that give audio its richness, detail, and clarity. The DAL test determines at what input signal levels the output amplitude deviates from absolute linearity relative to the input and can no longer faithfully track the input. www.audiodesignline.com /showArticle.jhtml?articleID=193006254   (606 words)

 A Maximum Likelihood Approach to Least Absolute Deviation Regression Least absolute deviation (LAD) regression is an important tool used in numerous applications throughout science and engineering, mainly due to the intrinsic robust characteristics of LAD. In this paper, we show that the optimization needed to solve the LAD regression problem can be viewed as a sequence of maximum likelihood estimates (MLE) of location. Keywords and phrases: least absolute deviation, linear regression, maximum likelihood estimation, weighted median filters. www.hindawi.com /GetArticle.aspx?pii=S1110865704401139   (248 words)

 NSDL Metadata Record -- Absolute Deviation -- from MathWorld NSDL Metadata Record -- Absolute Deviation -- from MathWorld Let \bar u denote the mean of a set of quantities u_i, then the absolute deviation is defined by \Delta u_i\equiv \left\vert{u_i-\bar u}\right\vert. See also: Deviation, Mean Deviation, Relative Deviation, Signed Deviation, Standard Deviation nsdl.org /mr/696765   (62 words)

 Mean Absolute Deviation -- from Wolfram MathWorld The mean absolute deviation (often inaccurately called the Kenney, J. and Keeping, E. "Mean Absolute Deviation." §6.4 in Weisstein, Eric W. "Mean Absolute Deviation." From MathWorld--A Wolfram Web Resource. mathworld.wolfram.com /MeanAbsoluteDeviation.html   (57 words)

 The Wavelet Digest :: View topic - Answer: Maximum Absolute Deviation? (WD 7.5 #40) The Wavelet Digest :: View topic - Answer: Maximum Absolute Deviation? The estimator used is Maximum Absolute Deviation / 0.6745,... The estimator used is Median Absolute Deviation / 0.6745,... www.wavelet.org /phpBB2/viewtopic.php?t=3825   (123 words)

 Sales & Operations Planning - Software   (Site not responding. Last check: 2007-10-25) John Galt's Atlas Planning Suite is an enterprise scalable solution that allows customers to balance supply and demand. The mean absolute deviation is the mean of the absolute value of the differences between the supplied values and the arithmetic mean of all values. The variables used in mean absolute deviation are defined as follows: www.johngalt.com /mean_absolute_deviation.shtml   (244 words)

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