Design of Experiments
46 questions across 4 topics. Also examined in CNET, ISS.
Connectedness and Orthogonality of Block Designs, BIBD
- 168Balanced incomplete block designsMSET June 2025Connectedness and Orthogonality of Block Designs, BIBDHard
- 169The C matrix of an incomplete block designMSET June 2025Connectedness and Orthogonality of Block Designs, BIBDHard
- 170Checking BIBD parametersMSET June 2025Connectedness and Orthogonality of Block Designs, BIBDHard
- 172Orthogonality in two-way data and orthogonal contrastsMSET June 2025Connectedness and Orthogonality of Block Designs, BIBDHard
- 153Orthogonality of LS residuals to the regressorMSET April 2024Connectedness and Orthogonality of Block Designs, BIBDMedium
- 168BIBD parameters — underdetermined without lambdaMSET April 2024Connectedness and Orthogonality of Block Designs, BIBDHard
- 171The C-matrix of a block design — rank deficient by constructionMSET April 2024Connectedness and Orthogonality of Block Designs, BIBDHard
- 169BIBD incidence matrix — symmetry only for the special case v=bMSET March 2023Connectedness and Orthogonality of Block Designs, BIBDHard
- 169Connectedness pins the C-matrix rank at v-1MSET September 2021Connectedness and Orthogonality of Block Designs, BIBDEasy
- 170Fisher's inequality — necessary, not sufficient, for a BIBD to existMSET September 2021Connectedness and Orthogonality of Block Designs, BIBDMedium
- 164Two standard OLS orthogonality identities: residuals sum to zero and are orthogonal to fitted valuesMSET December 2020Connectedness and Orthogonality of Block Designs, BIBDMedium
- 169Counting estimable orthogonal contrasts via the rank of the block design's information matrixMSET December 2020Connectedness and Orthogonality of Block Designs, BIBDHard
- 170Deriving k,lambda for a symmetric BIBD from the two standard identitiesMSET December 2020Connectedness and Orthogonality of Block Designs, BIBDEasy
- 169A block holding a single treatment isolates it: disconnected and non-orthogonalMSET June 2019Connectedness and Orthogonality of Block Designs, BIBDMedium
- 170For a BIBD, NN'=(r-lambda)I+lambda J is non-singularMSET June 2019Connectedness and Orthogonality of Block Designs, BIBDEasy
- 84Five blocks of four from five treatments: each block must omit a different letterMSET January 2018 Paper IIConnectedness and Orthogonality of Block Designs, BIBDMedium
- 127Statement 2 has k and a swapped; statements 1 and 3 are true — no option says soMSET January 2018 Paper IIIConnectedness and Orthogonality of Block Designs, BIBDMedium
- 83Equal replication and lambda=3 for every pair, but unequal blocksMSET April 2017 Paper IIConnectedness and Orthogonality of Block Designs, BIBDEasy
- 125Intrablock estimate: hattaui=kQi/(lambda v)=Qi/(rE)MSET April 2017 Paper IIIConnectedness and Orthogonality of Block Designs, BIBDMedium
2^K Factorial Experiments: Confounding and Construction
- 131Unbiased estimation — lambda^2 from a Poisson sampleMSET April 20242^K Factorial Experiments: Confounding and ConstructionHard
- 136Setting up a one-sided test for underperformanceMSET March 20232^K Factorial Experiments: Confounding and ConstructionMedium
- 170Confounding a 2^n design into 2^r blocks — how many effects are sacrificedMSET March 20232^K Factorial Experiments: Confounding and ConstructionEasy
- 130Identifying the confounded effect from Yates-notation block contentsMSET September 20212^K Factorial Experiments: Confounding and ConstructionMedium
- 172Confounding in a replicated 2^3 design — reading the effect off the block layoutMSET September 20212^K Factorial Experiments: Confounding and ConstructionHard
- 172Identifying the confounded effect from a 2^4 block split via sign parityMSET December 20202^K Factorial Experiments: Confounding and ConstructionMedium
- 171Eight treatments, twice each, in a 4times4 square: a quasi-Latin squareMSET June 20192^K Factorial Experiments: Confounding and ConstructionMedium
- 172As printed, the blocks split on the parity of b,d — BD, not a listed effectMSET June 20192^K Factorial Experiments: Confounding and ConstructionMedium
- 832^5 in blocks of 8 means 4 blocks, so 4-1=3 confounded effectsMSET January 2018 Paper II2^K Factorial Experiments: Confounding and ConstructionEasy
- 128Three textbook facts on factorials, orthogonal contrasts and confoundingMSET January 2018 Paper III2^K Factorial Experiments: Confounding and ConstructionEasy
- 129Resolution counts the shortest word: in resolution V, two- and three-factor interactions are aliasedMSET January 2018 Paper III2^K Factorial Experiments: Confounding and ConstructionMedium
- 130Replicate 1 confounds AB, replicate 2 confounds BCMSET January 2018 Paper III2^K Factorial Experiments: Confounding and ConstructionMedium
- 126Confounding ABC means its contrast equals the block contrastMSET April 2017 Paper III2^K Factorial Experiments: Confounding and ConstructionEasy
Completely Randomized, Randomized Block and Latin-Square Designs
- 171Completing a Latin square ANOVAMSET June 2025Completely Randomized, Randomized Block and Latin-Square DesignsHard
- 169CRD — error degrees of freedom with unequal group sizesMSET April 2024Completely Randomized, Randomized Block and Latin-Square DesignsEasy
- 172CRD — variance of a group mean minus the grand meanMSET April 2024Completely Randomized, Randomized Block and Latin-Square DesignsMedium
- 171Error degrees of freedom for an unbalanced CRDMSET March 2023Completely Randomized, Randomized Block and Latin-Square DesignsEasy
- 128Recognising a randomized block design in disguiseMSET September 2021Completely Randomized, Randomized Block and Latin-Square DesignsHard
- 171Recognising a Youden square from its row patternMSET September 2021Completely Randomized, Randomized Block and Latin-Square DesignsMedium
- 129Common-variance contrasts hold generally, but not every pairwise BLUE pair is uncorrelatedMSET December 2020Completely Randomized, Randomized Block and Latin-Square DesignsHard
- 130Total degrees of freedom in a two-replicate 2^3 design are not simply twice the treatment degrees of freedomMSET December 2020Completely Randomized, Randomized Block and Latin-Square DesignsHard
- 128An F-ratio needs no degrees-of-freedom correction when the two d.f. are equalMSET June 2019Completely Randomized, Randomized Block and Latin-Square DesignsEasy
- 130A Vtimes V Latin square uses V^2 plots, not V^3MSET June 2019Completely Randomized, Randomized Block and Latin-Square DesignsEasy
- 84Each missing plot costs one error degree of freedomMSET April 2017 Paper IICompletely Randomized, Randomized Block and Latin-Square DesignsEasy
- 124Latin square: rows, columns and treatments, all additiveMSET April 2017 Paper IIICompletely Randomized, Randomized Block and Latin-Square DesignsEasy
- 128Strip-plot EMS for A: error + whole-plot error + the A effectsMSET April 2017 Paper IIICompletely Randomized, Randomized Block and Latin-Square DesignsHard