Precision Measurement and Calibration: Statistical concepts and procedures, H. H. Ku, edU.S. Government Printing Office, 1968 |
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Page 14
... determinations , each one similar in character to the new observation , that is to say , so that each observation of the collection and also the new observation can be considered as random draw- ings from the same probability ...
... determinations , each one similar in character to the new observation , that is to say , so that each observation of the collection and also the new observation can be considered as random draw- ings from the same probability ...
Page 21
... Determination of credible bounds to the combined effect of recognized poten- tial sources of systematic error always ... determinations of the same magnitude , or the final result of a least squares " reduction " of measurements of a ...
... Determination of credible bounds to the combined effect of recognized poten- tial sources of systematic error always ... determinations of the same magnitude , or the final result of a least squares " reduction " of measurements of a ...
Page 25
... determinations of the same magnitude , or the final result of , say , a least squares " reduction " of measurements of a number of different quantities that have known relations to the quantity of interest . Measurement of some property ...
... determinations of the same magnitude , or the final result of , say , a least squares " reduction " of measurements of a number of different quantities that have known relations to the quantity of interest . Measurement of some property ...
Page 27
... determinations , he wrote : " After considerable experience I have not encountered any determination which is not influenced by the date on which it is made ; from this it follows that a number of deter- minations of the same thing made ...
... determinations , he wrote : " After considerable experience I have not encountered any determination which is not influenced by the date on which it is made ; from this it follows that a number of deter- minations of the same thing made ...
Page 28
... determination . Consequ- ently , if we are to permit such averaging as an allow- able step in a fully specified ... determinations of a single magnitude . a . Mathematical Formulation The foregoing can be expressed mathematically as ...
... determination . Consequ- ently , if we are to permit such averaging as an allow- able step in a fully specified ... determinations of a single magnitude . a . Mathematical Formulation The foregoing can be expressed mathematically as ...
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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.