seq_atkinson: Atkinson (1966) cross-over design specification
In mjg211/xover: Design and analysis of cross-over clinical trials

Description Usage Arguments Details Value Author(s) References Examples

Specifies cross-over designs from Atkinson (1966).

1	seq_atkinson(D = 3, labels = 0:(D - 1), as_matrix = T, summary = T)

`D`	The number of treatments. Must be a single `numeric` integer greater than or equal to two. Defaults to `3`.
`labels`	A `vector` of labels for the treatments. Should be of `length` `D`, containing unique elements. Defaults to `0:(D - 1)`.
`as_matrix`	A `logical` variable indicating whether the design should be returned as a `matrix`, or a `tibble`. Defaults to `T`.
`summary`	A `logical` variable indicating whether a summary of the function's progress should be printed to the console. Defaults to `T`.

seq_atkinson() supports the specification of cross-over designs from Atkinson (1966). Designs for three through five treatments (see D) are supported, for any chosen treatment labels (see labels). In addition, the designs can be returned in matrix or tibble form (see as_matrix).

Precisely, the (k,j)th element of the cross-over design matrix corresponds to the treatment a subject on the kth sequence would receive in the jth period.

Either a matrix if as_matrix = T (with rows corresponding to sequences and columns to periods), or a tibble if as_matrix = F (with rows corresponding to a particular period on a particular sequence). In either case, the returned object will have class xover_seq.

Based on data from the Crossover package by Kornelius Rohmeyer.

Atkinson GF (1966) Designs for sequences of treatments with carry-over effects. Biometrics 22:292-309.

# Atkinson (1966) design for three treatments
atkinson        <- seq_atkinson()
# Using different labels
atkinson_ABC    <- seq_atkinson(labels = LETTERS[1:3])
# Returning in tibble form
atkinson_tibble <- seq_atkinson(as_matrix = F)