size_n.three_way {OPDOE}

Design for Three-Way ANOVA

Description

Returns the optimal number of obervations per level of each factor.

Usage

size_n.three_way_cross.model_1_a          (alpha, beta, delta, a, b, c, cases)
size_n.three_way_cross.model_1_axb        (alpha, beta, delta, a, b, c, cases)
size_n.three_way_cross.model_1_axbxc      (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_ab_in_c.model_1_a  (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_ab_in_c.model_1_b  (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_ab_in_c.model_1_c  (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_ab_in_c.model_3_c  (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_ab_in_c.model_4_c  (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_1_a   (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_1_axc (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_1_b   (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_1_bxc (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_1_c   (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_3_b   (alpha, beta, delta, a, b, c, cases)
size_n.three_way_mixed_cxbina.model_3_bxc (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_1_a         (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_1_b         (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_1_c         (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_3_b         (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_3_c         (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_4_a         (alpha, beta, delta, a, b, c, cases)
size_n.three_way_nested.model_8_c         (alpha, beta, delta, a, b, c, 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

b

Number of levels of fixed factor B

c

Number of levels of fixed factor C

cases

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

Details

see chapter 3 in the referenced book

Value

Integer giving the size.

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_n.three_way_cross.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_cross.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_cross.model_1_axb(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_cross.model_1_axb(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_cross.model_1_axbxc(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_cross.model_1_axbxc(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_ab_in_c.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_ab_in_c.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_ab_in_c.model_1_axb(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_ab_in_c.model_1_axb(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_ab_in_c.model_1_b(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_ab_in_c.model_1_b(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_ab_in_c.model_1_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_ab_in_c.model_1_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_ab_in_c.model_3_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_ab_in_c.model_3_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_ab_in_c.model_4_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_ab_in_c.model_4_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_1_axc(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_1_axc(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_1_b(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_1_b(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_1_bxc(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_1_bxc(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_1_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_1_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_3_b(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_3_b(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_mixed_cxbina.model_3_bxc (0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_mixed_cxbina.model_3_bxc (0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_nested.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_nested.model_1_a(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_nested.model_1_b(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_nested.model_1_b(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_nested.model_1_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_nested.model_1_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_nested.model_3_b(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_nested.model_3_b(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_nested.model_3_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_nested.model_3_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")
size_n.three_way_nested.model_4_c(0.05, 0.1, 0.5, 6, NA, 4, "maximin")
size_n.three_way_nested.model_4_c(0.05, 0.1, 0.5, 6, NA, 4, "minimin")
size_n.three_way_nested.model_8_c(0.05, 0.1, 0.5, 6, 5, 4, "maximin")
size_n.three_way_nested.model_8_c(0.05, 0.1, 0.5, 6, 5, 4, "minimin")