Kuiper's Test
Performs Kuiper's one-sample test of uniformity on the circle.
kuiper(x, alpha=0)
x |
vector of angular measurements in radians. |
alpha |
significance level of the test. Possible levels are 0.15, 0.1, 0.05, 0.025, 0.01. Alpha may be omitted or set to zero, in which case a range for the p-value of the test will be returned. |
Kuiper's test statistic is a rotation-invariant Kolmogorov-type test statistic. The critical values of a modified Kuiper's test statistic are used according to the tabulation given in Stephens (1970).
NULL
Kuiper's one-sample test of uniformity is performed, and the results are printed to the screen. If alpha is specified and non-zero, the test statistic is printed along with the critical value and decision. If alpha is omitted, the test statistic is printed and a range for the p-value of the test is given.
Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 7.2, World Scientific Press, Singapore.
Stephens, M. (1970). Use of the Kolmogorov-Smirnov, Cramer-von Mises and related statistics without extensive tables. Journal of the Royal Statistical Society, B32, 115-122.
# Generate data from the uniform distribution on the circle. data <- runif(100, 0, 2*pi) kuiper(data) # Generate data from the von Mises distribution. data <- rvm(100, 0, 3) kuiper(data, alpha=0.01)
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