Mathematics – Statistics Theory
Scientific paper
2007-03-19
Jensen, D. R. and D. E. Ramirez. 2009. Anomalies in the analysis of calibrated data. Journal of Statistical Computation and Si
Mathematics
Statistics Theory
Scientific paper
10.1080/00949650701756864
This study examines effects of calibration errors on model assumptions and data--analytic tools in direct calibration assays. These effects encompass induced dependencies, inflated variances, and heteroscedasticity among the calibrated measurements, whose distributions arise as mixtures. These anomalies adversely affect conventional inferences, to include the inconsistency of sample means; the underestimation of measurement variance; and the distributions of sample means, sample variances, and Student's t as mixtures. Inferences in comparative experiments remain largely intact, although error mean squares continue to underestimate the measurement variances. These anomalies are masked in practice, as conventional diagnostics cannot discern irregularities induced through calibration. Case studies illustrate the principal issues.
Jensen Douglas R.
Ramirez Donald E.
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