Select the method or formula of your choice.

The predicted y or ; the mean response value for the given the values of the fixed factors, and covariates using the marginal fitted equation. The marginal equation does not include coefficients for any random factors.

For further details on the notation, go to the Methods section and the Test of Fixed Effects section.

The standard error of the marginal fitted values in the mixed model depend on the test method for the fixed effects. For both methods, the standard errors are the square roots of the diagonal elements of the variance matrix of the fits.

where

where

The confidence interval for the marginal mean response is calculated using the following expression:

is the marginal fit. is the standard error of the fit.

The degrees of freedom use this formula for the marginal case:

where

Term | Description |
---|---|

the row of the X matrix |

The marginal residual is calculated by the following expression:

Term | Description |
---|---|

y_{i} | the response value |

the marginal fitted value |

Standardized residuals are also called "internally Studentized residuals."

where the standard deviation of the residual is the appropriate diagonal square root of the residual variance matrix:

where

Term | Description |
---|---|

e_{i} | the i^{th} residual |

Std(e)_{i} | the standard deviation of the i^{th} residual |

The leverage matrix has the following form:

The Hi column displays the diagonal elements of **H**.