Feasible parameters for augmented p-rep constructions

Lists the parameter sets that augmented_prep_design() can build for a given number of entries and locations, in the spirit of Table 3 of Williams, Piepho and Whitaker (2011). For each number m of p-rep entries per block, it gives the number of blocks per replicate s, the final block size(s), the number of entries duplicated at each location, and how many "dummy" entries are dropped when the number of entries is not a multiple of the array size (dropping them makes some blocks one plot smaller).

Usage

augmented_prep_parameters(n_treatments, n_locations, max_block_size = 20)

Arguments

n_treatments

Number of entries (v).

n_locations

Number of locations (l).

max_block_size

Largest final block size to list.

Value

A tibble with one row per method and m: method, m, s, block_size (largest final block), min_block_size, blocks_per_location, plots_per_location (largest), duplicated_per_location (largest), dummies, feasible, and note.

References

Williams, E., Piepho, H.-P. and Whitaker, D. (2011). Augmented p-rep designs. Biometrical Journal 53, 19-27. doi:10.1002/bimj.201000102

Examples

augmented_prep_parameters(n_treatments = 120, n_locations = 6, max_block_size = 10)
#> # A tibble: 2 × 11
#>   method     m     s block_size min_block_size blocks_per_location
#>   <chr>  <int> <int>      <int>          <int>               <int>
#> 1 alpha      2    10          7              7                  20
#> 2 alpha2     2    10          7              7                  20
#> # ℹ 5 more variables: plots_per_location <int>, duplicated_per_location <int>,
#> #   dummies <int>, feasible <lgl>, note <chr>