ar X iv : m at h . ST / 0 70 35 50 v 1 19 M ar 2 00 7 ANOMALIES IN THE ANALYSIS OF CALIBRATED DATA
نویسنده
چکیده
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.
منابع مشابه
ar X iv : m at h / 07 03 55 0 v 1 [ m at h . ST ] 1 9 M ar 2 00 7 ANOMALIES IN THE ANALYSIS OF CALIBRATED DATA
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 u...
متن کاملar X iv : m at h . ST / 0 70 35 51 v 1 19 M ar 2 00 7 ANOMALIES IN THE FOUNDATIONS OF RIDGE REGRESSION
Anomalies persist in the foundations of ridge regression as set forth in Hoerl and Kennard (1970) and subsequently. Conventional ridge estimators and their properties do not follow on constraining lengths of solution vectors using LaGrange’s method, as claimed. Estimators so constrained have singular distributions; the proposed solutions are not necessarily minimizing; and heretofore undiscover...
متن کاملar X iv : 0 70 7 . 19 46 v 1 [ m at h . D G ] 1 3 Ju l 2 00 7 The uniqueness of the helicoid in the Lorentz - Minkowski space
We prove that the Lorentzian helicoid and Enneper’s surface are the unique properly embedded maximal surfaces bounded by a lightlike regular arc of mirror symmetry.
متن کاملar X iv : m at h / 05 08 29 7 v 1 [ m at h . ST ] 1 6 A ug 2 00 5 CONVERGENCE OF ESTIMATORS IN LLS ANALYSIS
We establish necessary and sufficient conditions for consistency of estimators of mixing distribution in linear latent structure analysis.
متن کامل