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Topic Area: Math
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Displaying records 61 to 70 of 225 records.
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61. Combining Information from Independent Similar Studies Using Random Effect Model
Topic: Math
Published: 1/1/2004
Author: Raghu N Kacker
Abstract: We compare leading statistical methods to combine information from independent similar studies using random effects model. One of the oldest methods is that of Cochran (1954). The method of Paule and Mandel (1982) was developed to determine the ...

62. Combining Results from Multiple Evaluations of the Same Measurand
Series: Journal of Research (NIST JRES)
Topic: Math
Published: 12/1/2011
Authors: Raghu N Kacker, Klaus-Dieter Sommer
Abstract: According to the Guide to the Expression of Uncertainty in Measurement (GUM), a result of measurement consists of a measured value together with its associated standard uncertainty. The measured value and the standard uncertainty are interpreted as ...

63. Comments on 'Bayesian evaluation of comparison data' by Ignacio Lira
Topic: Math
Published: 1/1/2007
Authors: Raghu N Kacker, Blaza Toman
Abstract: A recent paper by Ignacio Lira in Metrologia 43 (2006) S231-S234 addresses a well-known problem in combining information from interlaboratory evaluations. Lira presents an expression, which he claims to be the kernel of a Bayesian posterior probabili ...

64. Comparative Statistical Analysis of Test Parts Manufactured in Production Environments
Report Number: 6868
Topic: Math
Published: 6/1/2002
Authors: David E. Gilsinn, Alice V. Ling
Abstract: Estimating error uncertainties arising in parts produced on machine tools in production machine shops is not a well understood process. The current study details a process of estimating these error uncertainties. A part with significant features was ...

65. Comparative Statistical Analysis of Test Parts Manufactured in Production Environments
Series: NIST Interagency/Internal Report (NISTIR)
Topic: Math
Published: 2/2/2004
Authors: David E. Gilsinn, Alice V. Ling
Abstract: Estimating error uncertainties arising in production parts isnot a well understood process. This study developed an approach to estimatethese uncertainties. Machine tool error components on a vertical turningcenter were measured. Multiple parts were ...

66. Comparison of ISO-GUM, draft GUM Supplement 1, and Bayesian statistics using simple linear calibration
Topic: Math
Published: 1/1/2006
Authors: Raghu N Kacker, Blaza Toman, Ding Huang
Abstract: We compare three approaches for quantifying uncertainty using a measurement equation: the International Organization for Standardization (ISO) Guide to the Expression of Uncertainty in Measurement (GUM), draft GUM Supplement 1, and Bayesian statistic ...

67. Comparison of statistical consistency and metrological consistency
Topic: Math
Published: 9/6/2008
Authors: Raghu N Kacker, Ruediger Kessel, Klaus-Dieter Sommer, Xin Bian
Abstract: The conventional concept of consistency in multiple evaluations of the same measurand is based on statistical error analysis. This concept is based on regarding the evaluations as realizations from sampling probability distributions of potential eva ...

68. Compensating operators and stable backward in time marching in nonlinear parabolic equations.
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 7967
Topic: Math
Published: 11/26/2013
Author: Alfred S Carasso
Abstract: Step by step time-marching schemes are fundamental tools in the numerical exploration of well-posed nonlinear evolutionary partial differential equations. However, when the initial value problem is ill-posed, such stepwise time-marching numerical s ...

69. Computable Error Bounds for Approximate Periodic Solutions of Autonomous Delay Differential Equations
Topic: Math
Published: 1/2/2007
Author: David E. Gilsinn
Abstract: In this paper we prove a result that says: Given an approximate solution and frequency to a periodic solution of an autonomous delay differential equation that satisfies a certain non-criticality condition, there is an exact periodic solution and fre ...

70. Computation of Complex Airy Functions and Zeros using Asymptotics and Differential Equation
Topic: Math
Published: 12/1/2004
Authors: Bruce R Fabijonas, Daniel W Lozier, Frank William John Olver

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