On statistical methods for common mean and reference confidence intervals in interlaboratory comparisons for temperature

Witkovský, Viktor

On statistical methods for common mean and reference confidence intervals in interlaboratory comparisons for temperature / Viktor Witkovský, Gejza Wimmer, Stanislav Ďuriš. -- We consider a problem of constructing the exact and/or approximate coverage intervals for the common mean of several independent distributions. In a metrological context, this problem is closely related to evaluation of the interlaboratory comparison experiments, and in particular, to determination of the reference value (estimate) of a measurand and its uncertainty, or alternatively, to determination of the coverage interval for a measurand at a given level of confidence, based on such comparison data. We present a brief overview of some specific statistical models, methods, and algorithms useful for determination of the common mean and its uncertainty, or alternatively, the proper interval estimator. We illustrate their applicability by a simple simulation study and also by example of interlaboratory comparisons for temperature. In particular, we shall consider methods based on (i) the heteroscedastic common mean fixed effect model, assuming negligible laboratory biases, (ii) the het

In International Journal of Thermophysics. -- New York : Springer, 2015. -- ISSN 0195-928X. -- ISSN 1572-9567. -- Vol. 36, no. 8 (2015), pp. 2150-2171