The design of optimum multifactorial experiments.¶
PLACKETT, R. L., & BURMAN, J. P. (1946). The design of optimum multifactorial experiments. Biometrika, 33(4), 305-325.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Blocking (In Experimental Design)
- This pre-specification is a feature for transparency and analytic cleanliness but a bug when the experimenter realizes mid-experiment that a different blocking variable would have been more informative
This sourceFoundational screening/fractional-factorial designs requiring ex-ante specification of the factors to be studied.
- This pre-specification is a feature for transparency and analytic cleanliness but a bug when the experimenter realizes mid-experiment that a different blocking variable would have been more informative
- Factorial Design
- 4. The fractional-factorial trade-off (resolution and aliasing) — fractional designs (2^(k-p) designs studying k factors in fewer than 2^k runs) trade the ability to estimate high-order interactions for dramatic run-count reduction, via aliasing assumptions: high-order interactions are assumed small or absent
This sourceIntroduces screening designs that study k factors in as few as k+1 runs by aliasing main effects with higher-order interactions, the fractional-factorial trade-off and aliasing-assumption (effect-sparsity) the markers cite.
- 4. The fractional-factorial trade-off (resolution and aliasing) — fractional designs (2^(k-p) designs studying k factors in fewer than 2^k runs) trade the ability to estimate high-order interactions for dramatic run-count reduction, via aliasing assumptions: high-order interactions are assumed small or absent
- Randomization
This sourcePlackett Burman screening fractional-factorial randomization efficiency.
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:48ff87bb3494 · see in the full table