| Type: | Package |
| Title: | Efficient Row-Column Designs for 3 Level Factorial Experiments in 3 Rows |
| Version: | 0.1.1 |
| Maintainer: | Sukanta Dash <sukanta.iasri@gmail.com> |
| Description: | Provides functions to construct efficient row-column designs for 3-level factorial experiments in 3 rows. The designs ensure the estimation of all main effects (full efficiency) and two factor interactions in minimum replications. For more details, see Dey, A. and Mukerjee, R. (2012) <doi:10.1016/j.spl.2012.06.014> and Dash, S., Parsad, R., and Gupta, V. K. (2013) <doi:10.1007/s40003-013-0059-5>. |
| License: | GPL-3 |
| Encoding: | UTF-8 |
| RoxygenNote: | 7.3.2 |
| Depends: | R (≥ 3.6) |
| NeedsCompilation: | no |
| Author: | Sunil Kumar Yadav [aut], Sukanta Dash [aut, cre] |
| Packaged: | 2025-10-09 10:37:26 UTC; sunil |
| Repository: | CRAN |
| Date/Publication: | 2025-10-15 20:00:07 UTC |
Efficient Row-Column Designs for 3-Level Factorial Experiments in 3 Rows
Description
Constructs efficient row-column designs for 3-level factorial experiments with 3 rows. The designs ensure the estimation of all main effects (full efficiency) and two-factor interactions in minimum replications.
Usage
rcd3(n_factors = 3, show_efficiency = TRUE, show_replications = TRUE, verbose = TRUE)
Arguments
n_factors |
Number of factors in the experiment (integer >= 2). Each factor has 3 levels. |
show_efficiency |
Logical; if TRUE, prints efficiency factors for all main effects and two-factor interactions. Default is TRUE. |
show_replications |
Logical; if TRUE, prints full replications in row-column format preserving the original row/column labels. Default is TRUE. |
verbose |
Logical; if TRUE, displays progress messages and block tables using |
Details
Generates efficient row-column designs of 3-level factorial experiments in 3 rows, enabling estimation of all main effects (full efficiency) and two-factor interactions in minimum number of replications. Progress messages and principal block tables are displayed if verbose = TRUE.
Value
A list with the following components:
- factors
Vector of factor names.
- normalized_effects
Matrix of normalized main effects and two-factor interactions.
- effect_labels
Vector of effect labels corresponding to normalized effects.
- chosen_principal_blocks
List of selected principal blocks (matrices).
- efficiency_factors
Named vector of efficiency factors for all main effects and two-factor interactions (if show_efficiency = TRUE).
- replications
Nested list of full replications; final row-column design for a given number of factors.
Author(s)
Sunil Kumar Yadav [aut], Sukanta Dash [aut, cre] <sukanta.iasri@gmail.com>
References
Dey, A., & Mukerjee, R. (2012). Some results on optimal block designs for 3-level factorial experiments. Statistics & Probability Letters, 82(6), 1202–1208. doi:10.1016/j.spl.2012.06.014
Dash, S., Parsad, R., & Gupta, V. K. (2013). Efficient block designs for 3-level factorial experiments. J. Stat. Theory Pract., 7(3), 369–383. doi:10.1007/s40003-013-0059-5
See Also
Examples
rcd3(n_factors = 3, show_efficiency = TRUE, show_replications = TRUE, verbose = TRUE)
rcd3(n_factors = 2, show_efficiency = TRUE, show_replications = FALSE, verbose = TRUE)
quiet_result <- rcd3(n_factors = 4, verbose = FALSE)
result <- rcd3(n_factors = 4)
str(result$chosen_principal_blocks)
str(result$replications)