size_bc.three_way {OPDOE}

Three-way analysis of variance – cross classification (A in B) x C – model IV, Three-way analysis of variance – mixed classification (A in B) x C model VI

Description

Returns the optimal number of levels for factor B and C.

Usage

size_bc.three_way_cross.model_4_a_case1(alpha, beta, delta, a, n, cases)
size_bc.three_way_cross.model_4_a_case2(alpha, beta, delta, a, n, cases)
size_bc.three_way_mixed_cxbina.model_6_a_case1(alpha, beta, delta, a, n, cases)
size_bc.three_way_mixed_cxbina.model_6_a_case2(alpha, beta, delta, a, n, cases)

Arguments

alpha

Risk of 1st kind

beta

Risk of 2nd kind

delta

The minimum difference to be detected

a

Number of levels of fixed factor A

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

Integers giving the sizes.

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_bc.three_way_cross.model_4_a_case1(0.05, 0.1, 0.5, 6, 2, "maximin")
size_bc.three_way_cross.model_4_a_case1(0.05, 0.1, 0.5, 6, 2, "minimin")
size_bc.three_way_cross.model_4_a_case1(0.05, 0.1, 1, 6, 2, "maximin")
size_bc.three_way_cross.model_4_a_case1(0.05, 0.1, 1, 6, 2, "minimin")
size_bc.three_way_cross.model_4_a_case2(0.05, 0.1, 0.5, 6, 2, "maximin")
size_bc.three_way_cross.model_4_a_case2(0.05, 0.1, 0.5, 6, 2, "minimin")
size_bc.three_way_cross.model_4_a_case2(0.05, 0.1, 1, 6, 2, "maximin")
size_bc.three_way_cross.model_4_a_case2(0.05, 0.1, 1, 6, 2, "minimin")
size_bc.three_way_mixed_cxbina.model_6_a_case1(0.05, 0.1, 0.5, 6, 2, "maximin")
size_bc.three_way_mixed_cxbina.model_6_a_case1(0.05, 0.1, 0.5, 6, 2, "minimin")
size_bc.three_way_mixed_cxbina.model_6_a_case2(0.05, 0.1, 0.5, 6,  2, "maximin")
size_bc.three_way_mixed_cxbina.model_6_a_case2(0.05, 0.1, 0.5, 6,  2, "minimin")