size_a.three_way {OPDOE}

Three-way analysis of variance – mixed classification (A\times B)\succ C model III and VII

Description

Returns the optimal number of levels for factor A (and B).

Usage

size_a.three_way_mixed_cxbina.model_3_c(alpha, beta, delta, b, c, n, cases)
size_a.three_way_mixed_cxbina.model_7_c(alpha, beta, delta, b, c, n, cases)
size_ab.three_way_mixed_cxbina.model_7_c(alpha, beta, delta, c, n, cases)

Arguments

alpha

Risk of 1st kind

beta

Risk of 2nd kind

delta

The minimum difference to be detected

b

Number of levels of fixed factor B

c

Number of levels of fixed factor C

n

Number of replications

cases

Specifies whether the "maximin" or "maximin" sizes are to be determined

Details

see chapter 3 in the referenced book

Value

Integer(s) giving the size(s).

Note

Better use size.anova which allows a cleaner notation.

Author(s)

Dieter Rasch, Juergen Pilz, L.R. Verdooren, Albrecht Gebhardt, Minghui Wang

References

Dieter Rasch, Juergen Pilz, L.R. Verdooren, Albrecht Gebhardt: Optimal Experimental Design with R, Chapman and Hall/CRC, 2011

See Also

size.anova

Examples

size_a.three_way_mixed_cxbina.model_3_c(0.05, 0.1, 0.5, 5, 4, 1, "maximin")
size_a.three_way_mixed_cxbina.model_3_c(0.05, 0.1, 0.5, 5, 4, 1, "minimin")
size_a.three_way_mixed_cxbina.model_7_c(0.05, 0.1, 0.5, 5, 4, 1, "maximin")
size_a.three_way_mixed_cxbina.model_7_c(0.05, 0.1, 0.5, 5, 4, 1, "minimin")
size_ab.three_way_mixed_cxbina.model_7_c(0.05,0.1,0.50, 5,2,  "maximin")
size_ab.three_way_mixed_cxbina.model_7_c(0.05,0.1,0.50, 5,2,  "minimin")