ATSmini: Kendall's tau and ATS line for censored data
Description
Computes Kendall's tau and the Akritas-Theil-Sen (ATS) line for censored data. Is called by censeaken because it is much faster than the ATS function. It is not expected to be of much use to users on its own. The x variable (time) may not be censored.
Usage
ATSmini(y.var, y.cen, x.var)
Arguments
y.var
The column of y (response variable) values plus detection limits.
y.cen
The y-variable indicators, where 1 (or TRUE) indicates a detection limit in the y.var column, and 0 (or FALSE) indicates a detected value in y.var.
x.var
The column of x (time for a trend test) values.
Value
Returns the intercept and slope (ATS line), tau (Kendall's tau), p-value and S-value (test statistic).
References
Akritas, M.G., Murphy, S.A., LaValley, M.P., 1995. The Theil-Sen Estimator With Doubly Censored Data and Applications to Astronomy. Journal of the American Statistical Association 90, 170<U+2013>177. https://doi.org/10.2307/2291140
Helsel, D.R., 2011. Statistics for Censored Environmental Data using Minitab and R, 2nd ed. John Wiley & Sons, USA, N.J.