Institut für Astronomie und AstrophysikAbteilung AstronomieSand 1, D-72076 Tübingen, Germany |
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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