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Search Publications by: Andrew L Rukhin (Fed)

Displaying 1 - 25 of 112

The ABCs of Using Standard Reference Materials in the Analysis of Foods and Dietary Supplements: A Practical Guide

September 16, 2015

Author(s)

Katherine E. Sharpless, David L. Duewer, Katrice A. Lippa, Andrew L. Rukhin

Although "nutraceuticals" and "functional foods" seem to be ill-defined terms, both are often used to indicate a food that contains compounds providing benefits beyond basic nutrition, often with the expectation that these compounds are protective against

Quantifying Uncertainty in Accelerometer Sensitivity Studies

June 22, 2015

Author(s)

Andrew L. Rukhin, David J. Evans

Key Comparisons of accelerometers sensitivity measurement are performed to compare the sensitivity of linear accelerometers. The key comparison reference value (KCRV) for charge sensitivity as a function of frequency and the accompanying uncertainty are

Random Effects Model for Bias Estimation: Higher Order Asymptotic Inference

May 31, 2015

Author(s)

Andrew L. Rukhin

A common issue in metrology is to validate or to calibrate laboratory's method. To solve this problem a lab performs measurements on a certified reference material with a given coverage interval. Assuming that the measurand is random with a normal

Decision-Theoretic Issues in Heterogeneity Variance Estimation

February 8, 2015

Author(s)

Andrew L. Rukhin

In a random-effects setting of meta-analysis the between-study variance estimation is studied from the decision-theoretic point of view. The problem concerns simultaneous inference on curve-confined natural parameters of independent heterogeneous chi

The ABCs of Using Standard Reference Materials in the Analysis of Foods and Dietary Supplements: A Practical Guide

June 2, 2014

Author(s)

Katherine E. Sharpless, David L. Duewer, Katrice A. Lippa, Andrew L. Rukhin

Although nutraceuticals and functional foods seem to be ill-defined terms, both are often used to indicate a food that contains compounds providing benefits beyond basic nutrition, often with the expectation that these compounds are protective against

Decision-Theoretic Aspects of Meta-Analysis

April 1, 2014

Author(s)

Andrew L. Rukhin

In the random-effects model of meta-analysis a canonical representation of the restricted likelihood function is obtained. The relationship between the common mean estimators and the heterogeneity variance estimators is explored via this representation. An

Bounds on Elementary Symmetric Functions

January 31, 2014

Author(s)

Andrew L. Rukhin

Tight bounds on an elementary symmetric function are established for given values of these polynomials of lower order.

Restricted Likelihood Representation for Multivariate Heterogeneous Random Effects Models

January 31, 2014

Author(s)

Andrew L. Rukhin

In the random-effects model of meta-analysis for heterogeneous multidimensional data a canonical representation of the restricted likelihood function is obtained. This representation is related to a linear data transform which is based on the algebraic

Bayes Estimators of Heterogeneity Variance and T-Systems

January 8, 2014

Author(s)

Andrew L. Rukhin

The considered problem concerns simultaneous inference for curve-confined natural parameters of independent, heterogeneous gamma-random variables with known shape parameters. The meta-analysis motivated loss function is suggested and some properties of the

Compatibility Verification of Certified Reference Materials and User Measurements

December 9, 2013

Author(s)

Andrew L. Rukhin

A problem that frequently occurs in metrology is one of assessing compatibility of data obtained by a user laboratory with the specified values and uncertainty estimates from the certificate of analysis. The users data are summarized by a measurand mean

Assessing Conformity of Two Laboratories: Formulations as a Statistical Hypothesis Testing Problem

January 9, 2013

Author(s)

Andrew L. Rukhin

A decision problem frequently occurring in metrology is that of compatibility of data obtained by two (or several) different laboratories, methods or instruments. Several statistical approaches to this conformity assessment problem are reviewed including

Simultaneous Estimation and Reduction of Nonconformity in Interlaboratory Studies

August 8, 2012

Author(s)

Andrew L. Rukhin, William E. Strawderman

Several procedures designed to reduce nonconformity in interlaboratory studies by shrinking data toward a consensus weighted mean are suggested. Some of them are shown to have a smaller quadratic risk than the vector sample mean. Shrinkage toward a

Estimating Heterogeneity Variance in Meta-Analysis

August 6, 2012

Author(s)

Andrew L. Rukhin

Several new estimators of the between-study variability in a heterogeneous random effects meta-analysis model are derived. One of them can be interpreted as the empirical Bayes procedure for a diffuse prior with the given prior mean. Another is the