threewayanova: Three-way ANOVA
In ThreeWay: Three-Way Component Analysis

Description Usage Arguments Value Author(s) References Examples

Computation of three-way Analysis of Variance (ANOVA).

1	threewayanova(Y, n, m, p)

`Y`	Matrix (or data.frame coerced to a matrix) of order (`n` `x` `mp`) containing the matricized array (frontal slices)
`n`	Number of `A`-mode entities
`m`	Number of `B`-mode entities
`p`	Number of `C`-mode entities

A list including the following components:

`SS.a`	Main effect for the `A`-mode
`SS.b`	Main effect for the `B`-mode
`SS.c`	Main effect for the `C`-mode
`SS.ab`	Second order interaction (`A`- and `B`-mode)
`SS.bc`	Second order interaction (`B`- and `C`-mode)
`SS.ac`	Second order interaction (`A`- and `C`-mode)
`SS.abc`	Residual sum of squares after subtraction of second order interactions

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it
Henk A.L. Kiers h.a.l.kiers@rug.nl
Paolo Giordani paolo.giordani@uniroma1.it

H.A.L. Kiers \& I. Van Mechelen (2001). Three-way component analysis: principles and illustrative applications. Psychological Methods 6:84–110.

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data(TV)
TVdata=TV[[1]]
anova3 <- threewayanova(TVdata, 16, 15, 30)

Total ssq after subtraction of grand mean  =  100468.143194444
SS_a        =    4735.363194 ( 4.71 )
SS_b        =    17165.186944 ( 17.09 )
SS_c        =    5050.172361 ( 5.03 )
SS_ab       =    26446.759722 ( 26.32 )
SS_ac       =    4909.407639 ( 4.89 )
SS_bc       =    16966.346389 ( 16.89 )
SS_abc      =    25194.906944 ( 25.08 )