The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Regression diagnostics and robust regression in geothermometer/geobarometer calibration: the garnet‐clinopyroxene geothermometer revisited
Abstract
Abstract The calibration of geothermometers and geobarometers should involve not only the determination of the parameters in the equation used, but also the uncertainties on, and the correlations between, these parameters. This necessitates the use of a technique such as least squares. Given the poor performance of least squares in the presence of outliers in the data, techniques for identifying outliers for exclusion—regression diagnostics, and techniques for handling data which include outliers—robust regression and jackknifing, are essential. These techniques are summarized and their importance is emphasized, and they are applied to the calibration of the garnet‐clinopyroxene Fe‐Mg exchange geothermometer. The experimental data of Raheim & Green (1974) and Ellis & Green (1979) are explored using regression diagnostics to discover outliers in the data. After exclusion of the two influential outliers found, a new geothermometer equation for garnet‐clinopyroxene Fe‐Mg exchange is derived using robust regression and based on all the data: thus, T(K) = 2790 + 10 P+ 3140x ca,g/1.735 + In KD where T is in Kelvin and P is in kbar. This equation, as might be hoped, is essentially identical to that of Ellis & Green (1979). Equations for calculating the uncertainty in a calculated temperature, contributed by uncertainties in the calibration, are also derived.
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Citations
Cites
Regression Diagnostics: Identifying Influential Data and Sources of Collinearity
Belsley, D. A., Kuh, E., & Welsch, R. E. (1980) · Wiley Series in Probability and Statistics · doi:10.1002/0471725153 · Cited by 7,297
Huber, P. J. (1981) · Wiley Series in Probability and Statistics · doi:10.1002/0471725250 · Cited by 7,066
An experimental study of the effect of Ca upon garnet-clinopyroxene Fe-Mg exchange equilibria
Ellis, D. J., & Green, D. H. (1979) · Contributions to Mineralogy and Petrology · doi:10.1007/bf00371878 · Cited by 1,547
Osborn, J. F., Mosteller, F., & Tukey, J. W. (1978) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344493 · Cited by 1,446
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Collett, D., Hoaglin, D. C., Mosteller, F., & Tukey, J. W. (1984) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2981753 · Cited by 1,154
GRAHAM, C. M., & POWELL, R. (1984) · Journal of Metamorphic Geology · doi:10.1111/j.1525-1314.1984.tb00282.x · Cited by 728
Self-citationR�heim, A., & Green, D. H. (1974) · Contributions to Mineralogy and Petrology · doi:10.1007/bf00383355 · Cited by 320
Geothermometry and geobarometry: a discussion
Powell, R. (1985) · Journal of the Geological Society · doi:10.1144/gsjgs.142.1.0029 · Cited by 58
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Cited by
Calcic amphibole equilibria and a new amphibole-plagioclase geothermometer
Blundy, J. D., & Holland, T. J. B. (1990) · Contributions to Mineralogy and Petrology · doi:10.1007/bf00306444 · Cited by 987
Guo, J. H., O'Brien, P. J., & Zhai, M. (2002) · Journal of Metamorphic Geology · doi:10.1046/j.1525-1314.2002.00401.x · Cited by 375
Penniston-Dorland, S. C., Kohn, M. J., & Manning, C. E. (2015) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2015.07.031 · Cited by 328
Petrology of ultrahigh‐pressure rocks from the southern Su‐Lu region, eastern China
ZHANG, R., HIRAJIMA, T., BANNO, S., CONG, B., & LIOU, J. G. (1995) · Journal of Metamorphic Geology · doi:10.1111/j.1525-1314.1995.tb00250.x · Cited by 296
Coesite in Himalayan eclogite and implications for models of India-Asia collision
O'Brien, P. J., Zotov, N., Law, R., Khan, M. A., & Jan, M. Q. (2001) · Geology · doi:10.1130/0091-7613(2001)029<0435:ciheai>2.0.co;2 · Cited by 276
Metadata
- Authors
- POWELL, R.
- Venue
- Journal of Metamorphic Geology
- Publisher
- Wiley
- Published
- 1985-09
- Volume
- 3
- Issue
- 3
- Pages
- 231-243
- ISSN
- 0263-4929 (ISSN-L)
- 1525-1314
- OpenAlex
- W2049191257
- Cited by
- 676
- References
- 9
- FWCI
- 5.03
- Type
- journal article
- Language
- en
- Open access
- closed
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- POWELL, R. (1985). Regression diagnostics and robust regression in geothermometer/geobarometer calibration: the garnet‐clinopyroxene geothermometer revisited. Journal of Metamorphic Geology. https://doi.org/10.1111/j.1525-1314.1985.tb00319.x
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