翻訳と辞書 Words near each other ・ Demineralizing (silk worm cocoon) ・ Deming ・ Deming (Amtrak station) ・ Deming (surname) ・ Deming Armory ・ Deming Bronson ・ Deming Chen ・ Deming Glacier ・ Deming Glacier (Washington) ・ Deming Headlight ・ Deming Jarves ・ Deming Lake ・ Deming Municipal Airport ・ Deming Prize ・ Deming Public Schools ・ Deming regression ・ Deming School ・ Deming Woods, Indiana ・ Deming, Indiana ・ Deming, New Mexico ・ Deming, Washington ・ DeMingo Graham ・ Demini River ・ Demining ・ Deminkop ・ Demino Ski Marathon ・ Deminski & Doyle ・ Demintha Dahanayake ・ Demion Clinco ・ Demion Williams Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Deming regression ： ウィキペディア英語版 Deming regression In statistics, Deming regression, named after W. Edwards Deming, is an errors-in-variables model which tries to find the line of best fit for a two-dimensional dataset. It differs from the simple linear regression in that it accounts for errors in observations on both the ''x''- and the ''y''- axis. It is a special case of total least squares, which allows for any number of predictors and a more complicated error structure. Deming regression is equivalent to the maximum likelihood estimation of an errors-in-variables model in which the errors for the two variables are assumed to be independent and normally distributed, and the ratio of their variances, denoted ''δ'', is known. In practice, this ratio might be estimated from related data-sources; however the regression procedure takes no account for possible errors in estimating this ratio. The Deming regression is only slightly more difficult to compute compared to the simple linear regression. Many software packages used in clinical chemistry, such as Analyse-it, EP Evaluator, GraphPad Prism, MedCalc, NCSS (statistical software), R, S-PLUS and StatsDirect offer Deming regression. The model was originally introduced by who considered the case ''δ'' = 1, and then more generally by with arbitrary ''δ''. However their ideas remained largely unnoticed for more than 50 years, until they were revived by and later propagated even more by . The latter book became so popular in clinical chemistry and related fields that the method was even dubbed ''Deming regression'' in those fields.〔Cornbleet, Gochman (1979)〕 == Specification == Assume that the available data (''yi'', ''xi'') are measured observations of the "true" values (''yi *'', ''xi *''), which lie on the regression line: : $\backslash begin$ y_i &= y^ *_i + \varepsilon_i, \\ x_i &= x^ *_i + \eta_i, \end where errors ''ε'' and ''η'' are independent and the ratio of their variances is assumed to be known: : $\backslash delta\; =\; \backslash frac.$ In practice the variance of the $x$ and $y$ parameters is often unknown which complicates the estimate of $\backslash delta$ but where the measurement method for $x$ and $y$ is the same they are likely to be equal so that $\backslash delta\; =\; 1$ for this case. We seek to find the line of "best fit" : $y^$ * = \beta_0 + \beta_1 x^ *, such that the weighted sum of squared residuals of the model is minimized:〔Fuller, ch.1.3.3〕 : $SSR\; =\; \backslash sum\_^n\backslash bigg(\backslash frac\; +\; \backslash frac\backslash bigg)\; =\; \backslash frac\; \backslash sum\_^n\backslash Big((y\_i-\backslash beta\_0-\backslash beta\_1x^$ *_i)^2 + \delta(x_i-x^ *_i)^2\Big) \ \to\ \min_ SSR 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Deming regression」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.