K Simultaneous Measurement Procedures: A Bayesian Approach.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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When several instruments are used to measure an observed response the accuracy depends on the variance of the distribution of responses and of instrument errors. The problem considered in this paper is estimation of these variances and of certain ratios called relative precisions. The authors adopt a Bayesian approach in attacking the problem and apply a prior distribution to the parameters, proposed by Jeffreys, to obtain the relevant posterior distributions. To illustrate the applicability of these results, some data on burning times of fuses used in projectile firings is analyzed to yield point and interval estimates of the parameters of interest. Areas in which this research might be applied are those in which accuracy and relative precision play an important role, e.g. instrumentation rather than those in which substantial variability is present e.g. agricultural trials but a comparison of mean values is the main concern. Author
- Statistics and Probability