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Institut für Astronomie und AstrophysikAbteilung AstronomieSand 1, D-72076 Tübingen, Germany |
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KUIPERTWO
Compute the two-sided Kuiper statistic (invariant Kolmogorov-Smirnov)
Returns the Kuiper statistic and associated probability
that two arrays of data values are drawn from the same distribution
Algorithm adapted from KSTWO in "Numerical
Recipes" by Press et al., 2nd edition (1992), Chapter 14
kuipertwo, data1, data2, D, prob, [ /PLOT ]
data1 - vector of data values, at least 4 data values must be included
for the Kuiper statistic to be meaningful
data2 - second set of data values, does not need to have the same
number of elements as data1
D - floating scalar giving the Kuiper statistic. It
specifies the sum of positive and negative deviations between
the cumulative distributions of the two data sets
prob - floating scalar between 0 and 1 giving the significance level of
the Kuiper statistic. Small values of PROB show that the
cumulative distribution function of DATA1 is significantly
different from DATA2
PLOT - If this keyword is set and non-zero, then KUIPERTWO will display
a plot of the CDF of the two data sets.
The data values where the Kuiper statistic is
computed (i.e. at the maximum difference between the CDF of
the two data sets) are indicated by vertical dashed lines.
KUIPERTWO accepts the _EXTRA keyword, so that most plot keywords
(e.g. TITLE, XTITLE, XSTYLE) can also be passed to KUIPERTWO.
Test whether two vectors created by the RANDOMN function likely came
from the same distribution
IDL> data1 = randomn(seed,40) ;Create data vectors to be
IDL> data2 = randomn(seed,70) ;compared
IDL> kuipertwo, data1, data2, D, prob & print,D,prob
procedure PROB_KUIPER - computes significance of Kuiper distribution
Written W. Landsman August, 1992
FP computation of N_eff H. Ebeling/W. Landsman March 1996
Converted to IDL V5.0 W. Landsman September 1997
Fix for arrays containing equal values J. Ballet/W. Landsman
Oct. 2001
Adapted from KSTWO, added PLOT keyword J. Ballet July 2004
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