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Probable error has two meanings in statistics. The first meaning is a value describing the probability distribution of a given quantity. It defines the half-range of an interval about a central point for the distribution, such that half of the values from the distribution will lie within the interval and half outside.〔Dodge, Y. (2006) ''The Oxford Dictionary of Statistical Terms'', OUP. ISBN 0-19-920613-9〕 Thus it is equivalent to half the interquartile range The term also has an older meaning (sometimes stated as the ''only'' meaning),〔Zwillinger, D.; Kokosa, S. (2000) ''CRC Standard Probability and Statistics Tables and Formulae'', Chapman & Hall/CRC. ISBN 1584880597 (Section 2.2.13)〕 that has been deprecated for some time:〔Yule, G.U.; Kendall, M.G. (1950) ''An Introduction to the Theory of Statistics, 14th Edition'', Griffin. ISBN 0-85264-140-0 (Section 17.9)〕 it is denoted ''γ'' and defined as a fixed multiple of the standard deviation, σ, where the multiplying factor derives from the normal distribution, more specifically,〔〔 : Clearly this latter definition requires that at least the second moment of the distribution should exist, whereas the first definition does not. One use of the term probable error in statistics is as the name for the scale parameter of the Cauchy distribution. A third meaning exists in the context of measurement theory and practice, where the probable error of a measurement made on an instrument having a scale, is defined as being one-half of the finest division on that scale.〔(Principles of Measurement ) at Integrated Publishing: www.tpub.com/math1/7b.htm〕 The implication would be that nearly all measurement would be in the range defined by this version of probable error. ==References== 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「Probable error」の詳細全文を読む スポンサード リンク
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