kuiper               package:CircStats               R Documentation

_K_u_i_p_e_r'_s _T_e_s_t

_D_e_s_c_r_i_p_t_i_o_n:

     Performs Kuiper's one-sample test of uniformity on the circle.

_U_s_a_g_e:

     kuiper(x, alpha=0)

_A_r_g_u_m_e_n_t_s:

       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.

_D_e_t_a_i_l_s:

     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).

_V_a_l_u_e:

     NULL

_N_o_t_e:

     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.

_R_e_f_e_r_e_n_c_e_s:

     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, 115122.

_S_e_e _A_l_s_o:

     circ.range, rao.spacing, r.test, v0.test, watson

