pLausen94              package:maxstat              R Documentation

_A_p_p_r_o_x_i_m_a_t_i_n_g _M_a_x_i_m_a_l_l_y _S_e_l_e_c_t_e_d _S_t_a_t_i_s_t_i_c_s

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

     Approximates the probability that a maximally selected rank
     statistic is greater or equal to `b'.

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

     pLausen94(b, N, minprop=0.1, maxprop=0.9)
     qLausen94(p, N, minprop=0.1, maxprop=0.9)

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

       b: quantile. 

       p: probability. 

       N: number of cutpoints.

 minprop: at least `minprop'*100% of the observations in the first
          group. 

 maxprop: not more than `minprop'*100% of the observations in the first
          group. 

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

     Approximation based on an improved Bonferroni inequality.

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

     The probability that, under the hypothesis of independence, a
     maximally selected statistic greater equal `b' is observed.

_A_u_t_h_o_r(_s):

     Torsten Hothorn <Torsten.Hothorn@rzmail.uni-erlangen.de>

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

     Worsley, K.J. (1982), An Improved Bonferroni Inequality and
     Applications. Biometrika, 69, 297-302

     Lausen, B. (1990), Maximal Selektierte Rangstatistiken.
     Dissertation.  Universit\"at Dortmund

_E_x_a_m_p_l_e_s:

     p <- pLausen94(2.5, 20, 0.25, 0.75)

     if (round(p, 3) != 0.073) stop("error checking pLausen94")

