Analysis of Variance Objects

DESCRIPTION:
Classes of objects that result from fitting analysis of variance models. These classes are: aov maov aovlist

GENERATION:
These classes of objects are returned from aov. In addition, raov and aov.genyates create objects of class "aov".

An object of class "aov" represents the fit for a univariate analysis of variance of a single error stratum. Objects of class "maov" are for a single error stratum but have multiple responses. An object of class "aovlist" represents an analysis of variance with multiple strata; it is a list of objects of class "aov" or "maov".


METHODS:
The class "aov" has methods for the following generic functions: drop1, print, qqnorm, summary.

The class "maov" has methods for the following generic functions: qqnorm.

The class "aovlist" has methods for the following generic functions: alias, print, proj, qqnorm, summary.


INHERITANCE:
Class "aov" inherits from class "lm".

The inheritance for class "maov" is: "maov" "mlm" "aov" "lm".

Class "aovlist" inherits from "listof".


STRUCTURE:
The "aov" and "maov" objects are implemented as lists with the following components:
coefficients:
the coefficients of the least squares fit of the response(s) on the model matrix. The column names of the matrix of coefficients are the names of the single-degree-of-freedom effects (the linearly independent columns of the model matrix).
residuals:
the residuals from the fit.
fitted.values:
the fitted values for the model.
effects:
orthogonal, single-degree-of-freedom effects. Note that these are always an orthogonal transformation of the response. These effects do not depend on any property of the design (e.g., balance) for their orthogonality. Caution: these are NOT what is called the effects in 2 to the k designs, see coefficients for that.
rank:
the computed rank (number of estimable effects) for the model.
assign:
the list of assignments of coefficients (and effects) to the terms in the model. The names of this list are the names of the terms. The ith component of the list is the vector saying which coefficients correspond to the ith term. It may be of length zero if there were no estimable effects for the term.
df.residual:
the number of degrees of freedom for residuals.
R:
part of the decomposition of the design matrix (the R of the QR decomposition by default). This is of little direct interest to the general user.
terms:
an object of mode "expression" and class "term" summarizing the formula. This is used by various methods, but not typically of direct relevance to users.
call:
an image of the call that produced the object, but with the arguments all named and with the actual formula included as the formula argument.

An object of class "aovlist" is a list of aov or maov objects of the form above (without call or terms components), with each component of the list representing one stratum. This list has attributes call and terms as described above.

If raov created the aov object, then there will also be components called replications and ems.coef.


SEE ALSO:
aov , aov.genyates , lm.object , raov .