manova5050         package:ffmanova         R Documentation(latin1)

_C_o_m_p_u_t_a_t_i_o_n _o_f _5_0-_5_0 _M_A_N_O_V_A _r_e_s_u_l_t_s

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

     The function takes a design-with-responses object created by
     'xy_Obj' and produces 50-50 MANOVA output. Results are produced
     for each term in the model.

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

     manova5050(xyObj, stand)

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

   xyObj: design-with-responses object

   stand: standardisation of responses (0 or 1)

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

     Classical multivariate ANOVA (MANOVA) are useless in many
     practical cases. The tests perform poorly in cases with several
     highly correlated responses and the method collapses when the
     number of responses exceeds the number of observations. 50-50
     MANOVA is made to handle this problem. Principal component
     analysis (PCA) is an important part of this methodology. Each test
     is based on a separate PCA.

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

     A list with components 

termNames: model term names

 exVarSS: explained variances calculated from sums of squares summed
          over all responses

      df: degrees of freedom - adjusted for other terms in model

   df_om: degrees of freedom - adjusted for terms contained in actual
          term

     nPC: number of principal components used for testing

     nBU: number of principal components used as buffer components

 exVarPC: variance explained by 'nPC' components

 exVarBU: variance explained by '(nPC+nBU)' components

 pValues: 50-50 MANOVA p-values

   stand: logical.  Whether the responses are standardised.

_N_o_t_e:

     The 50-50 MANOVA p-values are based on the Hotelling-Lawley Trace
     Statistic. The number of components for testing and the number of
     buffer components are chosen according to default rules.

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

     yvind Langsrud and Bjrn-Helge Mevik

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

     Langsrud, . (2002)  Rotation Tests. _The Statistician_, *51*,
     305-317.

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

     'ffmanova'

