strans                  package:eba                  R Documentation

_S_t_o_c_h_a_s_t_i_c _T_r_a_n_s_i_t_i_v_i_t_y

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

     Checks the weak, moderate, and strong stochastic transitivity.

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

     strans(M)

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

       M: a square matrix or a data frame consisting of absolute choice
          frequencies

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

     The weak (WST), moderate (MST), and strong (SST) stochastic
     transitivity hold for a set of relative choice frequencies P,
     whenever if P_{ij} >= 0.5 and P_{jk} >= 0.5, then

     P_{ik} >= 0.5 (WST),

     P_{ik} >= min(P_{ij}, P_{jk}) (MST),

     P_{ik} >= max(P_{ij}, P_{jk}) (SST).

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

     A table displaying the number of violations of the weak, moderate,
     and strong stochastic transitivity, the number of tests, the error
     ratio (violations/tests), and the mean and maximum deviation. 

    weak: number of violations of WST

moderate: number of violations of MST

  strong: number of violations of SST

 n.tests: number of transitivity tests performed

wst.violations: a vector of WST violations

mst.violations: a vector of MST violations

sst.violations: a vector of SST violations

     pcm: the square matrix of relative choice frequencies

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

     'OptiPt'.

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

     data(celebrities)  # absolute choice frequencies
     strans(celebrities)  # WST and MST hold, but not SST
     strans(celebrities)$pcm  # relative frequencies

