harvtest               package:lmtest               R Documentation

_H_a_r_v_e_y-_C_o_l_l_i_e_r-_T_e_s_t

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

     `harvtest' performs the Harvey-Collier-Test for linearity.

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

     harvtest(formula, data=list())

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

 formula: a symbolic describtion for the model to be tested

    data: an optional data frame containing the variables in the model.
          By default the variables are taken from the environment which
          'harvtest' is called from

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

     The Harvey-Collier-Tests examines if the true relationship is
     linear versus a convex or concave relationship under the
     alternative. The test statistic under null hypothesis follows a t
     distribution with df degree of freedom.

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

     A list with class `"htest"' containing the following components: 

statistic: the value of the test statistic.

 p.value: the p-value of the test.

  method: a character string indicating what type of test was
          performed.

data.name: a character string giving the name(s) of the data.

_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:

     Kraemer, W., Sonnberger, H. (1986): The linear regression model
     under test

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

     `lm'

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

     x <- c(1:30);
     y <- x^2 + rnorm(30,0,2);
     formular <- y ~ x;
     harv <- harvtest(formular);
     qt(0.95, harv$parameter[1]);

