Model-Implied Mean Vector

Model-Implied Mean Vector from the simple mediation model.

mutheta(mux, deltam, deltay, taudot, beta, alpha)

Arguments

mux	Numeric. Mean of x \(\left( \mu_x \right)\) .
deltam	Numeric. Intercept of m \(\left( \delta_m \right)\) .
deltay	Numeric. Intercept of y \(\left( \delta_y \right)\) .
taudot	Numeric. Slope of path from x to y \(\left( \dot{\tau} \right)\).
beta	Numeric. Slope of path from m to y \(\left( \beta \right)\) .
alpha	Numeric. Slope of path from x to m \(\left( \alpha \right)\) .

Details

The simple mediation model is given by $$ y_i = \delta_y + \dot{\tau} x_i + \beta m_i + \varepsilon_{y_{i}} $$

$$ m_i = \delta_m + \alpha x_i + \varepsilon_{m_{i}} $$

The parameters for the mean structure are $$ \boldsymbol{\theta}_{\text{mean structure}} = \left\{ \mu_x, \delta_m, \delta_y \right\} . $$

The parameters for the covariance structure are $$ \boldsymbol{\theta}_{\text{covariance structure}} = \left\{ \dot{\tau}, \beta, \alpha, \sigma_{x}^{2}, \sigma_{\varepsilon_{m}}^{2}, \sigma_{\varepsilon_{y}}^{2} \right\} . $$

See also

Other reticular action model functions: A.std(), A(), Mfrommu(), M(), S.std(), Sfromsigma2(), Sigmatheta.std(), Sigmathetafromsigma2(), Sigmatheta(), S()

Author

Ivan Jacob Agaloos Pesigan

Examples

mutheta(
  mux = 70.18000,
  deltam = 26.82246,
  deltay = 29.91071,
  taudot = 0.207648,
  beta = 0.451039,
  alpha = 0.338593
)
#>        x        m        y 
#> 70.18000 50.58492 67.29922 
colMeans(jeksterslabRdatarepo::thirst)
#>   temp thirst  water 
#>  70.18   3.06   3.24