IDL Analyst Reference Guide: Nonparametric Statistics |
The IMSL_TIE_STATS function computes tie statistics for a sample of observations.
Note This routine requires an IDL Analyst license. For more information, contact your ITT Visual Information Solutions sales or technical support representative. |
Result = IMSL_TIE_STATS(x [, /DOUBLE] [, FUZZ=value] )
One-dimensional array of length 4 containing the tie statistics.
where tj is the number of ties in the j-th group (rank) of ties, and t is the number of tie groups in the sample.
One-dimensional array containing the observations. x must be ordered monotonically increasing with all missing values removed.
If present and nonzero, double precision is used.
Nonnegative constant used to determine ties. Observations i and j are tied if the successive differences x(k + 1) – x(k) between observations i and j, inclusive, are all less than Fuzz. Default: Fuzz = 0.0
The IMSL_TIE_STATS function computes tie statistics for a monotonically increasing sample of observations. "Tie statistics" are statistics that may be used to correct a continuous distribution theory nonparametric test for tied observations in the data. Observations i and j are tied if the successive differences x(k + 1) – x(k), inclusive, are all less than Fuzz. Note that if each of the monotonically increasing observations is equal to its predecessor plus a constant, if that constant is less than Fuzz, then all observations are contained in one tie group. For example, if Fuzz = 0.11, then the following observations are all in one tie group.