mixed_level_design: Constructs an orthogonal design for two types of factors with...

In SCCDdesign: Construction of Screening Designs for Mixed Level Continuous and Categorical Factors

Constructs an orthogonal design for two types of factors with different numbers of levels. Three construction cases are considered: even-even level factors, odd-even level factors and odd-odd level factors. The appropriate construction is selected automatically according to the parity of the numbers of levels of the two factors. Hadamard matrices are used for even-level factors, while conference matrices are used for odd-level factors. The order of both the Hadamard and conference matrices is m. For the even-even case, the design contains m - 1 factors of each type. For the odd-even case, the design contains m odd-level factors and m - 1 even-level factors. For the odd-odd case, the design contains m factors of each type.

Description

Constructs an orthogonal design for two types of factors with different numbers of levels. Three construction cases are considered: even-even level factors, odd-even level factors and odd-odd level factors. The appropriate construction is selected automatically according to the parity of the numbers of levels of the two factors. Hadamard matrices are used for even-level factors, while conference matrices are used for odd-level factors. The order of both the Hadamard and conference matrices is m. For the even-even case, the design contains m - 1 factors of each type. For the odd-even case, the design contains m odd-level factors and m - 1 even-level factors. For the odd-odd case, the design contains m factors of each type.

Usage

mixed_level_design(a, b, m)

Arguments

a	Number of levels of the first factor.
b	Number of levels of the second factor.
m	Order of the Hadamard and conference matrices used in the construction. Must be a multiple of 4.

Value

A matrix containing the constructed orthogonal design. The total number of factors depends on the construction case: 2(m - 1) for the even-even case, ⁠2m - 1⁠ for the odd-even case, and ⁠2m⁠ for the odd-odd case.

Examples

mixed_level_design(a = 4, b = 2, m = 4)
mixed_level_design(a = 3, b = 2, m = 8)
mixed_level_design(a = 5, b = 3, m = 4)

SCCDdesign documentation built on Sept. 21, 2026, 5:08 p.m.