williams              package:crossdes              R Documentation

_C_o_n_s_t_r_u_c_t_i_o_n _o_f _W_i_l_l_i_a_m_s _D_e_s_i_g_n_s

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

     The function constructs williams designs. Williams designs are
     row-column designs. They are used if  each of the treatments in
     the study is given to each of the subjects. If the number of 
     treatments to be tested is even, the design is a latin square,
     otherwise it consists of two latin squares.

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

     williams(trt)

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

     trt: An integer > 1, giving the number of treatments in the
          design. 

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

     The resulting design is a (generalized) latin square that is also
     balanced for first order carryover effects.  Carryover balance is
     achieved with very few subjects. In the experimental design the
     treatments are numbered 1,...,trt. The entry  (i,j) of the design
     corresponds  to the treatment the i-th subject gets in the j-th
     period.

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

     A matrix representing the experimental design.

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

     Oliver Sailer sailer@statistik.uni-dortmund.de

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

     Wakeling, I.N. and MacFie, H.J.H. (1995): Designing consumer
     trials balanced for first and higher orders of carry-over effect
     when only a subset of k samples from t may be tested. Food Quality
     and Preference 6, 299-308. 

     Williams, E. J. (1949): Experimental designs balanced for the
     estimation of residual effects of treatments. Australian Journal
     of Scientific Research, Ser. A 2, 149-168.

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

     'get.plan'

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

     williams(3)
     williams(10)

