Precision Measurement and Calibration: Statistical concepts and procedures, H. H. Ku, edU.S. Government Printing Office, 1968 |
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Page 35
... variance , σ , is ( n = 2,3 ... ) , ( 3 ) termed the standard deviation of the process . In consequence the ASTM has , at least tentatively ,. x ' , say . For this purpose the signs of these differ- ences are clearly irrelevant ...
... variance , σ , is ( n = 2,3 ... ) , ( 3 ) termed the standard deviation of the process . In consequence the ASTM has , at least tentatively ,. x ' , say . For this purpose the signs of these differ- ences are clearly irrelevant ...
Page 36
... variance is a more appropriate measure of the dispersion of the x's about their limiting mean μ than is σ itself . Ordinarily , the magnitude of o2 ( and , hence , of o ) , unlike that of μ , depends only on the measurement process ...
... variance is a more appropriate measure of the dispersion of the x's about their limiting mean μ than is σ itself . Ordinarily , the magnitude of o2 ( and , hence , of o ) , unlike that of μ , depends only on the measurement process ...
Page 38
... variance of , termed the between - occasions component of variance . If in such a situation we were to form cumulative arithmetic means such as ( 3 ) of the squares of all distinct differences between arbitrary pairs of meas- urements ...
... variance of , termed the between - occasions component of variance . If in such a situation we were to form cumulative arithmetic means such as ( 3 ) of the squares of all distinct differences between arbitrary pairs of meas- urements ...
Page 39
... variance 20 % . It goes without saying , of course , that if a control- chart analysis of the type described above is under- taken for the purpose of ascertaining whether the process is in a state of complex control , but the points ...
... variance 20 % . It goes without saying , of course , that if a control- chart analysis of the type described above is under- taken for the purpose of ascertaining whether the process is in a state of complex control , but the points ...
Page 45
... variance in preparing schedules for the sampling of baled wool , Biometrics 7 , pp . 83–96 . Chauvenet , William ( 1868 ) , A Manual of Spherical and Practical Astronomy Vol . II , 4th edition , ( J. B. Lippincott and Co. , Philadelphia ) ...
... variance in preparing schedules for the sampling of baled wool , Biometrics 7 , pp . 83–96 . Chauvenet , William ( 1868 ) , A Manual of Spherical and Practical Astronomy Vol . II , 4th edition , ( J. B. Lippincott and Co. , Philadelphia ) ...
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Common terms and phrases
adjusted values analysis applied arithmetic mean ASTM average b₁ b₁x bias Bureau of Standards calculated calibration Churchill Eisenhart comparison components computed confidence interval confidence limits constant control chart correct corresponding curve degrees of freedom determinations effect equal equation evaluation example experiment experimental factors Figure formulas gage block given imprecision independent intercept interlaboratory interval estimate labora laboratory large number Least Squares limiting mean linear magnitude mass materials mathematical meas measurement process ment National Bureau normal distribution number of measurements observations obtained operation ORDP pair paper parameters percent plotted points population possible quantity radium standard range ratio relationship reported sample scores sequence Shewhart shown single slope sources specimens standard deviation standard error stations statistical control systematic error Table temperature test procedure tion tory true value uncertainty urement variables variance W. J. Youden W₁ weight
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Page 45 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
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Page 36 - It is another matter to formulate specific statements regarding these statistical characteristics of measurement processes. 4.2. 1 Precision — Precision may be stated in terms of an index of precision of the form ±a, where a is some positive number. The numerical value of a in any such index of precision will be smaller the more closely bunched are the individual measurements of a process. However, any such index must have a clearly understandable interpretation regarding variability of measurements....
Page 31 - Absolute certainty is a privilege of uneducated minds — and fanatics. It is, for scientific folk, an unattainable ideal.