sfsmisc (version 1.1-19)

KSd: Approximate Critical Values for Kolmogorov-Smirnov's D

Description

Computes the critical value for Kolmogorov-Smirnov's \(D_n\), for sample sizes \(n \ge 10\) and confidence level 95%.

Usage

KSd(n)

Value

The critical value for D (two-sided) for significance level 0.05 (or confidence level 95%).

Arguments

n

the sample size, n >= 10.

Author

Kjetil Halvorsen and Martin Maechler

Details

Based on tables values given in the reference below. For \(n\le 80\) uses interpolations from exact values, elsewhere uses asymptotic approximation.

References

Peter J. Bickel and Kjell A. Doksum (1977), Mathematical Statistics: Basic Ideas and Selected Topics. Holden Day. Section 9.6 and table IX.

See Also

Is used from ecdf.ksCI.

Examples

KSd(90)
KSd(1:9)# now works

op <- par(mfrow=c(2,1))
  plot(KSd, 10, 150)# nice
  abline(v = c(75,85), col = "gray")
  plot(KSd, 79, 81, n = 1001)# *very* tiny discontinuity at 80
par(op)