residuals.sem              package:sem              R Documentation

_R_e_s_i_d_u_a_l _C_o_v_a_r_i_a_n_c_e_s _f_o_r _a _S_t_r_u_c_t_u_r_a_l _E_q_u_a_t_i_o_n _M_o_d_e_l

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

     These functions compute residual covariances,
     variance-standardized
 residual covariances, and normalized
     residual covariances
 for the observed variables in a
     structural-equation
 model fit by `sem'.

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


     residuals.sem(object, ...)

     standardized.residuals(object, ...)

     standardized.residuals.sem(object, ...)

     normalized.residuals(object, ...)

     normalized.residuals.sem(object, ...)

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

  object: an object of class `sem' returned by the `sem' function.

     ...: not for the user.

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

     Residuals are defined as S - C, where S is the sample covariance
     matrix
 of the observed variables and C is the model-reproduced
     covariance matrix.
 The standardized residual covariance for a
     pair of variables divides the
 residual covariance by the product
     of the sample standard deviations of the 
 two variables, (s_{ij}
     - c_{ij})/(s_{ii}s_{jj})^{1/2}. The normalized residual
 is given
     by

         (s_{ij} - c_{ij})/[(c_{ii}c_{jj} - c_{ij})/N]^{1/2}

     where N is the number of observations.

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

     Each function returns a matrix of residuals.

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

     John Fox jfox@mcmaster.ca

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

     Bollen, K. A. (1989) 
 Structural Equations With Latent Variables.
     Wiley.

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

     `sem'

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



     # ------------- assumes that Duncan, Haller and Portes peer-influences model
     # -------------     has been fit and is in sem.dhp.1

     residuals(sem.dhp.1)

     ##                  ROccAsp        REdAsp       FOccAsp        FEdAsp
     ##    ROccAsp  4.156103e-07 -2.896368e-07 -2.866110e-02  9.102874e-02
     ##    REdAsp  -2.896368e-07 -1.541581e-06 -1.094841e-02 -2.379215e-02
     ##    FOccAsp -2.866110e-02 -1.094841e-02 -3.740356e-06 -9.564103e-07
     ##    
     ##    . . .
     ##    
     ##                      FIQ       FParAsp
     ##    ROccAsp  3.467853e-02 -3.187309e-02
     ##    REdAsp   4.878970e-03 -4.443480e-02
     ##    FOccAsp -7.354686e-03  2.488120e-02
     ##    FEdAsp   1.124604e-02 -3.690078e-02
     ##    RParAsp  2.775558e-17  5.551115e-17
     ##    RIQ      2.220446e-16  6.938894e-17
     ##    RSES     0.000000e+00 -1.387779e-17
     ##    FSES     1.110223e-16 -2.775558e-17
     ##    FIQ      4.440892e-16  1.110223e-16
     ##    FParAsp  1.110223e-16  4.440892e-16

     normalized.residuals(sem.dhp.1) 

     ##                  ROccAsp        REdAsp       FOccAsp        FEdAsp
     ##    ROccAsp  5.330519e-06 -4.455587e-06 -4.898232e-01  1.567678e+00
     ##    REdAsp  -4.455587e-06 -1.977191e-05 -1.857670e-01 -4.071582e-01
     ##    FOccAsp -4.898232e-01 -1.857670e-01 -4.797271e-05 -1.460881e-05
     ##    
     ##    . . .
     ##    
     ##                      FIQ       FParAsp
     ##    ROccAsp  6.080514e-01 -5.747909e-01
     ##    REdAsp   8.518738e-02 -8.007295e-01
     ##    FOccAsp -1.180429e-01  4.374639e-01
     ##    FEdAsp   1.832159e-01 -6.514685e-01
     ##    RParAsp  5.019082e-16  1.000322e-15
     ##    RIQ      3.818356e-15  1.252092e-15
     ##    RSES     0.000000e+00 -2.506364e-16
     ##    FSES     1.931472e-15 -5.029583e-16
     ##    FIQ      5.695780e-15  1.971289e-15
     ##    FParAsp  1.971289e-15  5.695780e-15

     standardized.residuals(sem.dhp.1)

     ##                  ROccAsp        REdAsp       FOccAsp        FEdAsp
     ##    ROccAsp  4.156103e-07 -2.896368e-07 -2.866110e-02  9.102874e-02
     ##    REdAsp  -2.896368e-07 -1.541581e-06 -1.094841e-02 -2.379215e-02
     ##    FOccAsp -2.866110e-02 -1.094841e-02 -3.740356e-06 -9.564103e-07
     ##    
     ##    . . .
     ##    
     ##                      FIQ       FParAsp
     ##    ROccAsp  3.467853e-02 -3.187309e-02
     ##    REdAsp   4.878970e-03 -4.443480e-02
     ##    FOccAsp -7.354686e-03  2.488120e-02
     ##    FEdAsp   1.124604e-02 -3.690078e-02
     ##    RParAsp  2.775558e-17  5.551115e-17
     ##    RIQ      2.220446e-16  6.938894e-17
     ##    RSES     0.000000e+00 -1.387779e-17
     ##    FSES     1.110223e-16 -2.775558e-17
     ##    FIQ      4.440892e-16  1.110223e-16
     ##    FParAsp  1.110223e-16  4.440892e-16


