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KSd

Approximate Critical Values for Kolmogorov-Smirnov's D

Description

Computes the critical value for Kolmogorov-Smirnov's D_n, for sample sizes n >= 10 and confidence level 95%.

Usage

KSd(n)

Arguments

n

the sample size, n >= 10.

Details

Based on tables values given in the reference below. For n <= 80 uses interpolations from exact values, elsewhere uses asymptotic approximation.

Value

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

Author(s)

Kjetil Halvorsen and Martin Maechler

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)
sfsmisc

Utilities from 'Seminar fuer Statistik' ETH Zurich

v1.1-11
GPL (>= 2)
Authors
Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>), Werner Stahel [ctb] (Functions: compresid2way(), f.robftest(), last(), p.scales(), p.dnorm()), Andreas Ruckstuhl [ctb] (Functions: p.arrows(), p.profileTraces(), p.res.2x()), Christian Keller [ctb] (Functions: histBxp(), p.tachoPlot()), Kjetil Halvorsen [ctb] (Functions: KSd(), ecdf.ksCI()), Alain Hauser [ctb] (Functions: cairoSwd(), is.whole(), toLatex.numeric()*), Christoph Buser [ctb] (to function Duplicated()), Lorenz Gygax [ctb] (to function p.res.2fact()), Bill Venables [ctb] (Functions: empty.dimnames(), primes()), Tony Plate [ctb] (to inv.seq()), Isabelle Fl<fc>ckiger [ctb], Marcel Wolbers [ctb], Markus Keller [ctb], Sandrine Dudoit [ctb], Jane Fridlyand [ctb], Greg Snow [ctb] (to loessDemo()), Henrik Aa. Nielsen [ctb] (to loessDemo()), Vincent Carey [ctb], Ben Bolker [ctb], Philippe Grosjean [ctb], Fr<e9>d<e9>ric Ibanez [ctb], Caterina Savi [ctb], Charles Geyer [ctb], Jens Oehlschl<e4>gel [ctb]
Initial release
2021-04-03

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