An R function to test the difference of mean vectors among the levels of a
single factor with respect to p response variables. Sum of squares and
cross-products matrices involved in the MANOVA can be optionally displayed.
Test statistics produced are the same as those implemented in
summary.manova
OnewayMANOVA(x, group)Returns an object of class "OnewayMANOVA", a list containing
the following components:
name | A character string describing the function. | T | The total sum of squares and cross-product matrix, defined as \(\mathbf{T} = \mathbf{B} + \mathbf{W}\), with \(\mathbf{B}\) and \(\mathbf{W}\) described below. | W | The within-sample or residual sum of squares and cross-product matrix. | B | The between-sample sum of squares and cross-product matrix | x.mnv | An object of class "manova" (and some other classes)
produced by function manova, to be passed as argument in
summary.OnewayMANOVA in order to produce the approximate F-tests. |
group | A character string specifying the name of the factor defining groups. | levels.group | A vector showing the levels in factor
group. | data.name | A character string giving the name of the data. | variables | A character string vector containing the variable names. | data | The data frame analyzed. |
A data frame with one factor and p response variables.
Factor defining groups. It must be one of the columns
in x.
Jorge Navarro Alberto, ganava4@gmail.com
This function is a simplified version of manova, focusing in
multivariate analysis of variance for one single factor with respect to
p responses. The print method in OnewayMANOVA is similar
to that in summary.manova, producing the same approximate F tests in
the one-way MANOVA. A simplified printout of the sums of squares and product
matrices involved in the analysis can optionally be chosen.
Manly, B.F.J., Navarro Alberto, J.A. and Gerow, K. (2024) Multivariate Statistical Methods. A Primer. 5th Edn. Chapman and Hall/CRC.
data(skulls)
res.MANOVA <- OnewayMANOVA(skulls, group = Period)
# Brief output
res.MANOVA
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