Returns the test based on placements for the Behrens-Fisher problem. This test was developed by Fligner and Policello (1981); see, also, Section 2.11 of Hettmansperger and McKean (2011) and Section 4.4 of Hollander and Wolfe (1999). The version computed by fp.test is discussed in Section 3.4 of Kloke and McKean (2014)/Section 3.6 of Kloke and McKean (2024).
fp.test(x,y,delta0=0,alternative = "two.sided")
chi-squared test statistic
p-value of the test
numerator of test statistic
denominator of test statistic
vector of first sample responses
vector of second sample responses
null value tested
alternative indicator for hypotheses
John Kloke, Joseph McKean
Returns the Placement Test for the Behrens-Fisher problem.
Fligner, M.~A. and Policello, G.~E. (1981), Robust rank procedures for the Behrens-Fisher problem, Journal of the American Statistical Association, 76, 162--168.
Hettmansperger, T.P. and McKean J.W. (2011), Robust Nonparametric Statistical Methods, 2nd ed., New York: Chapman-Hall.
Hollander, M. and Wolfe, D.~A. (1999), Nonparametric statistical methods, 2nd Edition, New York: John Wiley and Sons.
Kloke, J. and McKean, J.W. (2014), Nonparametric statistcal methods using R, Boca Raton, FL: Chapman-Hall. Kloke, J. and McKean, J.W. (2024), Nonparametric statistcal methods using R, Second Edition, Boca Raton, FL: Chapman-Hall.