Precision Measurement and Calibration: Statistical concepts and procedures, H. H. Ku, edU.S. Government Printing Office, 1968 |
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Page 3
... combination with his measurement process , the uncertainty of his measurements . Figure 4 The accuracy requirements for a measurement are set partly by experience , partly by discussions with others , and partly by analysis . For a par ...
... combination with his measurement process , the uncertainty of his measurements . Figure 4 The accuracy requirements for a measurement are set partly by experience , partly by discussions with others , and partly by analysis . For a par ...
Page 6
... combination , we can assign values relative to our accessible scale . A sufficient number of well calibrated standards which can be intercompared , and which may occasionally be compared with our prototype standard , serve to maintain ...
... combination , we can assign values relative to our accessible scale . A sufficient number of well calibrated standards which can be intercompared , and which may occasionally be compared with our prototype standard , serve to maintain ...
Page 16
... COMBINATIONS OF FOUR OBJECTS Figure 47 When we intercompare four objects , for example , four 1 - kg standards , we could use six observations . Weight S is compared with A for a1 , S with B for a2 and so on . If S were a standard and ...
... COMBINATIONS OF FOUR OBJECTS Figure 47 When we intercompare four objects , for example , four 1 - kg standards , we could use six observations . Weight S is compared with A for a1 , S with B for a2 and so on . If S were a standard and ...
Page 37
... combination of observations in the English language [ Airy 1861 , p . 92 ] : ( 15 ) ( The mean value of a sum is always the sum of the mean values of its individual terms , so that the overall mean value of the first summation inside ...
... combination of observations in the English language [ Airy 1861 , p . 92 ] : ( 15 ) ( The mean value of a sum is always the sum of the mean values of its individual terms , so that the overall mean value of the first summation inside ...
Page 44
... Combination of Allowances for Systematic Errors The foregoing example suggests that a similar procedure be used for arriving at credible limits to the likely overall effect of systematic errors due to a number of different origins . A ...
... Combination of Allowances for Systematic Errors The foregoing example suggests that a similar procedure be used for arriving at credible limits to the likely overall effect of systematic errors due to a number of different origins . A ...
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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 72 - Manual on Quality Control of Materials (American Society for Testing and Materials, Philadephia, 1951).
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.