t-REML for Robust Heteroscedastic Regression Analysis of Mitochondrial Power

The paper reports a long series of observations on two statistically independent variates which have different nonlinear regressions on the same parameter vector. In our analysis of the data, heteroscedasticity is handled by residual maximum likelihood, REML, but to cope with outliers as well, REML...

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Bibliographic Details
Published in:Biometrics 1993-06, Vol.49 (2), p.339-356
Main Authors: James, Alan T., Wiskich, Joseph T., Robert A. J. Conyers
Format: Article
Language:English
Subjects:
Adenosine Diphosphate - metabolism
Adenosine Triphosphate - metabolism
Aerobiosis
Approximation
Atractyloside - analogs & derivatives
Atractyloside - pharmacology
Biological and medical sciences
Biometrics
Creatine
Degrees of freedom
Enzymes
Fundamental and applied biological sciences. Psychology
General aspects
Hexokinase - metabolism
Mathematics
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Maximum likelihood estimation
Mitochondria
Mitochondria - drug effects
Mitochondria - metabolism
Models, Biological
Models, Statistical
Oxidative Phosphorylation
Oxygen Consumption
Probability
Regression Analysis
Respiration
Statistical discrepancies
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Summary:The paper reports a long series of observations on two statistically independent variates which have different nonlinear regressions on the same parameter vector. In our analysis of the data, heteroscedasticity is handled by residual maximum likelihood, REML, but to cope with outliers as well, REML based on a t-specification, called t-REML, is introduced. The data are the results of factorial experiments designed to model the quantitative performance of mitochondria generating aerobic power. The response variates are flux, measured as respiration, and ATP potential as log(ATP/ADP). The background of metabolism and oxidative phosphorylation is briefly sketched.
ISSN:0006-341X
1541-0420
DOI:10.2307/2532548