ATSmini function

Kendall's tau and ATS line for censored data

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.

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.

Returns

Returns the intercept and slope (ATS line), tau (Kendall's tau), p-value and S-value (test statistic).

Examples

# x may not be censored.  Use the ATS function when x is censored.
data(Brumbaugh)

with(Brumbaugh, ATSmini(Hg, HgCen, SedLOI))

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, 170–177. 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.

See Also

NADA::cenken