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REPLICATED COMPOSITE COMPLETE‐INCOMPLETE BLOCK DESIGNS FOR SENSORY EXPERIMENTS
Author(s) -
CORNELL J. A.,
KNAPP F. W.
Publication year - 1974
Publication title -
journal of food science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.772
H-Index - 150
eISSN - 1750-3841
pISSN - 0022-1147
DOI - 10.1111/j.1365-2621.1974.tb02934.x
Subject(s) - block (permutation group theory) , replication (statistics) , block design , mathematics , composite number , combinatorics , arithmetic , algorithm , statistics
Composite complete‐incomplete (C‐I) block designs are formed by combining complete blocks of size t units with balanced incomplete blocks of k units (1 ≤ k < t) resulting in blocks of size t+k units. In sensory experiments, composite C‐I block designs have been shown to be more efficient than the standard complete block designs. Replication of the blocks in these C‐I block designs permits accurate interpretation of panelist X treatment interaction effects. Also, the formulae for calculating estimates of the treatments, panelists, and interaction effects are simpler in form with the replicated C‐I designs than the corresponding formulae with the unreplicated C‐I block designs. The analysis of an experiment involving the rating of flavor of three strawberry preserves using a replicated C‐I block design is presented.