Package: pRepDOE 0.1.0

pRepDOE: Construction of p-Rep Designs from Graph and Finite-Field Structures

Constructs partially replicated (p-rep) designs in which every treatment occurs in every location, once or twice in Methods I and III and q or q + 1 times in Method II, with constant overall replication. Method I decomposes the complete graph into Hamiltonian paths, Method II uses cyclic blocks derived from a Hamiltonian cycle, and Method III uses mutually orthogonal Latin squares over a Galois field. Three treatment-replacement extensions (block enlargement, block splitting, and replacement followed by column-wise splitting) can be applied to Methods I and II. Each design is checked for connectedness and is returned with its parameters, pairwise concurrence distribution, canonical efficiency factor (CEF), average variance factor (AVF) and a randomized layout. Background references: Vinaykumar et al. (2026) <doi:10.1007/s12355-025-01684-1>; Vinaykumar et al. (2024) <doi:10.1080/03610926.2023.2185753>; Williams et al. (2011) <doi:10.1002/bimj.201000102>.

Authors:Vinaykumar L.N. [aut, cre], Cini Varghese [aut], Mohd Harun [aut], Sayantani Karmakar [aut], Vinayaka [aut]