IsoplotR (version 0.17)

titterington: Linear regression of X,Y,Z-variables with correlated errors

Description

Implements the maximum likelihood algorithm of Ludwig and Titterington (1994)

Usage

titterington(x)

Arguments

x

a [9 x n] matrix with the following columns: X, sX, Y, sY, Z, sZ, rhoXY, rhoXZ, rhoYZ.

Value

a four-element list of vectors containing:

par

4-element vector c(a,b,A,B) where a is the intercept of the X-Y regression, b is the slope of the X-Y regression, A is the intercept of the X-Z regression, and B is the slope of the X-Z regression.

cov

[4 x 4]-element covariance matrix of par

mswd

the mean square of the residuals (a.k.a `reduced Chi-square') statistic

References

Ludwig, K.R. and Titterington, D.M., 1994. Calculation of \(^{230}\)Th/U isochrons, ages, and errors. Geochimica et Cosmochimica Acta, 58(22), pp.5031-5042.