TY - JOUR
T1 - The Accumulation of Palaeomagnetic Results From Multicomponent Analyses
AU - Mcfadden, P. L.
AU - Schmidt, P. W.
PY - 1986
Y1 - 1986
N2 - Summary. In palaeomagnetic studies the analysis of multicomponent magnetizations has evolved from the eye‐ball, orthogonal plot, and vector difference methods to the more elaborate computer‐based methods such as principle component analysis (PCA), linearity spectrum analysis (LSA), and the recent package called LINEFIND. the errors involved in estimating a particular direction in a multicomponent system from a single specimen are fundamental to PCA, LSA, and LINEFIND, yet these errors are not used in estimating an overall direction from a number of observations of a particular component (other than in some acceptance or rejection criterion). the distribution of errors relates very simply to a Fisher distribution, and so these errors may be included fairly naturally in the overall analysis. In the absence of a rigorous theory to cover all situations, we consider here approximate methods for the use of these errors in estimating overall directions and cones of confidence. Some examples are presented to demonstrate the application of these methods.
AB - Summary. In palaeomagnetic studies the analysis of multicomponent magnetizations has evolved from the eye‐ball, orthogonal plot, and vector difference methods to the more elaborate computer‐based methods such as principle component analysis (PCA), linearity spectrum analysis (LSA), and the recent package called LINEFIND. the errors involved in estimating a particular direction in a multicomponent system from a single specimen are fundamental to PCA, LSA, and LINEFIND, yet these errors are not used in estimating an overall direction from a number of observations of a particular component (other than in some acceptance or rejection criterion). the distribution of errors relates very simply to a Fisher distribution, and so these errors may be included fairly naturally in the overall analysis. In the absence of a rigorous theory to cover all situations, we consider here approximate methods for the use of these errors in estimating overall directions and cones of confidence. Some examples are presented to demonstrate the application of these methods.
KW - data analysis
KW - multicomponent magnetizations
KW - palaeomagnetism
UR - http://www.scopus.com/inward/record.url?scp=0022831708&partnerID=8YFLogxK
U2 - 10.1111/j.1365-246X.1986.tb00670.x
DO - 10.1111/j.1365-246X.1986.tb00670.x
M3 - Article
AN - SCOPUS:0022831708
SN - 0016-8009
VL - 86
SP - 965
EP - 979
JO - Geophysical Journal of the Royal Astronomical Society
JF - Geophysical Journal of the Royal Astronomical Society
IS - 3
ER -