threewayanova function

Three-way ANOVA

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

threewayanova(Y, n, m, p)

Arguments

• 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

Returns

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

References

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

Author(s)

Maria Antonietta Del Ferraro mariaantonietta.delferraro@yahoo.it

Henk A.L. Kiers h.a.l.kiers@rug.nl

Paolo Giordani paolo.giordani@uniroma1.it

Examples

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