Factor analysis applied to regional geochemical data: problems and possibilities
Tài liệu tham khảo
Afifi, 1979
Aitchison, 1986
Äyräs, M., Reimann, C., 1995. Joint ecogeochemical mapping and monitoring in the scale of 1:1 mill. in the West Murmansk Region and contiguous areas of Finland and Norway — 1994–1996. Field Manual. Nor. Geol. Unders. Rep. 95.111.
Bartlett, 1947, The use of transformations, Biometrics, 3, 39, 10.2307/3001536
Bartlett, 1946, The statistical analysis of variance — heterogeneity and the logarithmic transformation, J. Roy. Stat. Soc., 8/1, 128
Basilevsky, 1994
Böhm, 1998, The use of tree bark for environmental pollution monitoring in the Czech Republic, Environ. Pollut., 102, 243, 10.1016/S0269-7491(98)00082-7
Bølviken, B., Bergström, J., Björklund, A., Kontio, M., Lehmuspelto, P., Lindholm, T., Magnusson, J., Ottesen, R.T., Steenfelt, A., Volden, T., 1986. Geochemical Atlas of Northern Fennoscandia. Scale 1:4,000,000. Geological Surveys of Finland, Norway and Sweden, Helsinki, Trondheim and Stockholm.
Bølviken, 1990, Geochemical and metallogenic provinces: a discussion initiated by results from geochemical mapping across northern Fennoscandia, J. Geochem. Explor., 39, 49, 10.1016/0375-6742(90)90069-M
Bølviken, 1992, The fractal nature of geochemical landscapes, J. Geochem. Explor., 43, 91, 10.1016/0375-6742(92)90001-O
Box, 1964, An analysis of transformations, J. Roy. Stat. Soc. (B), 26, 211
Butler, 1976, Principal components analysis using the hypothetical closed array, Math. Geol., 8, 25, 10.1007/BF01039682
Carroll, 1953, An analytic solution for approximating simple structure in factor analysis, Psychometrika, 18, 23, 10.1007/BF02289025
Cattell, 1966, The scree test for the number of factors, Mult. Behav. Res., 1, 245, 10.1207/s15327906mbr0102_10
Chork, 1990, Unmasking multivariate anomalous observations in exploration geochemical data from sheeted-vein tin mineralisation near Emmaville, N.W.S., Australia, J. Geochem. Explor., 37, 205, 10.1016/0375-6742(90)90027-8
Chork, 1985, Comparison of interpretations of geochemical soil data by some multivariate statistical methods, Key Anacon, N.B., Canada, J. Geochem. Explor., 23, 213, 10.1016/0375-6742(85)90027-5
Chork, 1993, Interpreting geochemical data from Outokumpu, Finland: an MVE-robust factor analysis, J. Geochem. Explor., 48, 1, 10.1016/0375-6742(93)90079-2
Dutter, R., Leitner, T., Reimann, C., Wurzer, F., 1992. Grafische und geostatistische Analyse am PC. Beiträge zur Umweltstatistik. Schriftenreihe der Technischen Universität Wien, Bd. 29, pp. 78–88.
Eriksson, 1992, Glacigenic deposits, 13
Filzmoser, 1999, Robust principal component and factor analysis in the geostatistical treatment of environmental data, Environmetrics, 10, 363, 10.1002/(SICI)1099-095X(199907/08)10:4<363::AID-ENV362>3.0.CO;2-0
Garrett, 1989, The chi-square plot: a tool for multivariate outlier recognition, J. Geochem. Explor., 32, 319, 10.1016/0375-6742(89)90071-X
Garrett, R.G., Nichol, I., 1969. Factor analysis as an aid in the interpretation of regional geochemical stream sediment data. In: Canney, F.C. (Ed.), Internat. Geochem. Explor. Symp. Quart. Colorado School of Mines; pp. 245–264.
Garrett, 1980, The management, analysis and display of regional geochemical data, J. Geochem. Explor., 13, 115, 10.1016/0375-6742(80)90004-7
Harman, 1976
Hawkes, 1962
Hendrickson, 1964, PROMAX: a quick method for rotation to oblique simple structure, Brit. J. Stat. Psychology, 17, 65, 10.1111/j.2044-8317.1964.tb00244.x
Hirvas, H., 1991. Pleistocene stratigraphy of Finnish Lapland. Geol. Surv. Finland, Bull. 354.
Howarth, 1979, Application of a generalised power transformation to geochemical data, J. Math. Geol., 11, 45, 10.1007/BF01043245
Howarth, R.J., Sinding-Larsen, R., 1983. Multivariate analysis. Howarth, R.J. Handbook of Geochemical Exploration, Vol. 2: Statistics and Data Analysis in Geochemical Prospecting, Elsevier, Amsterdam, pp. 207–289.
Johnson, 1998
Kaiser, 1958, The Varimax criterion for analytic rotation in factor analysis, Psychometrika, 23, 187, 10.1007/BF02289233
Khotinskiy, 1984, Holocene vegetation history, 179
1992
Kufs, 1979, Another view of the use of factor analysis in geology, Math. Geol., 11, 717, 10.1007/BF01031894
Kürzl, 1988, Exploratory data analysis: recent advances for the interpretation of geochemical data, J. Geochem. Explor., 30, 309, 10.1016/0375-6742(88)90066-0
Le Maitre, 1982
Mardia, 1979
Miesch, 1969, Critical review of some multivariate procedures in the analysis of geochemical data, Math. Geol., 1, 171, 10.1007/BF02048560
1993
Niskavaara, H., 1995. A comprehensive scheme of analysis for soils, sediments, humus and plant samples using inductively coupled plasma atomic emission spectrometry (ICP-AES). In: Autio, S. (Ed.), Geological Survey of Finland, Current Research 1993–1994. Geol. Surv. Finland, Espoo, Spec. Pap. 20: pp. 167–175.
Niskavaara, 1990, Reductive coprecipitation as a separation method for the determination of gold, palladium, platinum, rhodium, silver, selenium and tellurium in geological samples by graphite furnace atomic adsorption spectrometry, Anal. Chim. Acta, 231, 273, 10.1016/S0003-2670(00)86426-0
Pison, G., Rousseeuw, P.J., Filzmoser, P., Croux, C., 1999. Factor Analysis in a Robust Way. Univ. Antwerp, Belgium: http://win-www.uia.ac.be/u/statis/(preprint).
Reimann, 2000, Normal and lognormal data distribution in geochemistry: death of a myth. Consequences for the statistical treatment of geochemical and environmental data, Environ. Geol., 39, 1001, 10.1007/s002549900081
Reimann, C., Melezhik, V., 2001. Metallogenic provinces, geochemical provinces and regional geology — what causes large-scale patterns in low-density geochemical maps of the C-horizon of podzols in Arctic Europe? Appl. Geochem.
Reimann, 1986, Monitoring accuracy and precision — improvements by introducing robust and resistant statistics, Mikrochim. Acta, II, 31, 10.1007/BF01207306
Reimann, C., Äyräs, M., Chekushin, V.A., Bogatyrev, I., Boyd, R., Caritat, P. de, Dutter, R., Finne, T.E., Halleraker, J.H., Jæger, Ø., Kashulina, G., Niskavaara, H., Lehto, O., Pavlov, V., Räisänen, M.L., Strand, T., Volden, T., 1998. Environmental Geochemical Atlas of the Central Barents Region. NGU-GTK-CKE special publication. Geological Survey of Norway, Trondheim, Norway.
Rock, 1988
Rousseeuw, 1990, Unmasking multivariate outliers and leverage points, J. Am. Stat. Assoc., 85, 633, 10.2307/2289995
Seber, 1984
Temple, 1978, The use of factor analysis in geology, Math. Geol., 10, 379, 10.1007/BF01031743
Venables, 1997
Vistelius, 1960, The skew frequency distributions and the fundamental law of the geochemical processes, J. Geol., 68, 1, 10.1086/626634
Woronow, 1985, Complete subcomposition independence testing of closed arrays, Computers Geosci., 12, 267, 10.1016/0098-3004(86)90036-1