Design of Experiments (DOE)

Lecture notes and quizzes related to the Design of Experiments (DOE).

Block Design Quiz 16

by

Master Block Designs in Design of Experiments (DOE) with this comprehensive Block Design Quiz featuring 20 multiple-choice questions (MCQs) covering Randomized Complete Block Design (RCBD), Balanced Incomplete Block Design (BIBD), PBIBD, Latin Square, and Youden Square designs. Perfect for students, statisticians, data analysts, and data scientists preparing for exams, competitive tests, or job interviews. Test your knowledge of key concepts, including interblock analysis, treatment effects, blocking efficiency, and experimental design assumptions. Includes detailed answers for self-assessment. Boost your DOE expertise today! Let us start with the Online Block Design Quiz now.

Online Block Design Quiz with Answers

1. No treatment in a PBIBD appears more than —————– in a block

 
 
 
 

2. Which design is used when it is not possible to test all treatments in every block?

 
 
 
 

3. Which of the following is a key assumption of RCBD?

 
 
 
 

4. If block effects are uncorrelated random variables with zero mean and fixed variance, then the least square estimates of the mean are

 
 
 
 

5. We may say that all differences in estimated treatment effects do not have the same variance in

 
 
 
 

6. A design that does not require that each pair of treatments occur together an equal number of times is called

 
 
 
 

7. If an experiment has 5 treatments and 4 blocks, what is the minimum number of experimental units required for an RCBD?

 
 
 
 

8. In a BIBD, what does “balanced” refer to?

 
 
 
 

9. When should a Latin Square Design be used instead of RCBD?

 
 
 
 

10. What is the primary purpose of blocking in experimental design?

 
 
 
 

11. A symmetric BIBD may form a

 
 
 
 

12. We can use a Youden Square design when we need to block on two sources of variation, but can not set up complete blocks as we did in the case of

 
 
 
 

13. We can conduct an interblock analysis for a

 
 
 
 

14. The number of treatments that appear $\lambda_2$ times with the first treatment and $\lambda_3$ times with the second treatment is:

 
 
 
 

15. When we need to block on two sources of variation other than treatment, but can not set up complete blocks, we may use

 
 
 
 

16. Every block in a PBIBD contains ——————- number of units

 
 
 
 

17. Which of the following is NOT a characteristic of a good blocking variable?

 
 
 
 

18. What is the main disadvantage of using a BIBD compared to RCBD?

 
 
 
 

19. A PBIBD allows us to run an incomplete design with ——————- number of blocks that may be required in a BIBD

 
 
 
 

20. In a Randomized Complete Block Design (RCBD), which of the following is true?

 
 
 
 

Question 1 of 20

Online Block Design Quiz with Answers

Online Block Design Quiz with Answers

  • We can conduct an interblock analysis for a
  • If block effects are uncorrelated random variables with zero mean and fixed variance, then the least square estimates of the mean are
  • A PBIBD allows us to run an incomplete design with ——————- number of blocks that may be required in a BIBD
  • We may say that all differences in estimated treatment effects do not have the same variance in
  • A design that does not require that each pair of treatments occur together an equal number of times is called
  • Every block in a PBIBD contains ——————- number of units
  • No treatment in a PBIBD appears more than —————– in a block
  • The number of treatments that appear $\lambda_2$ times with the first treatment and $\lambda_3$ times with the second treatment is:
  • When we need to block on two sources of variation other than treatment, but can not set up complete blocks, we may use
  • A symmetric BIBD may form a
  • We can use a Youden Square design when we need to block on two sources of variation, but can not set up complete blocks as we did in the case of
  • What is the primary purpose of blocking in experimental design?
  • In a Randomized Complete Block Design (RCBD), which of the following is true?
  • Which design is used when it is not possible to test all treatments in every block?
  • In a BIBD, what does “balanced” refer to?
  • Which of the following is a key assumption of RCBD?
  • When should a Latin Square Design be used instead of RCBD?
  • What is the main disadvantage of using a BIBD compared to RCBD?
  • If an experiment has 5 treatments and 4 blocks, what is the minimum number of experimental units required for an RCBD?
  • Which of the following is NOT a characteristic of a good blocking variable?

Learn R Programming

Block Design MCQs Test 15

by

Test your knowledge of Block Design with this 20-question MCQ quiz! Online Block Design MCQs Test is perfect for statisticians, data analysts, data scientists, students, and learners preparing for exams or job interviews. The Block Design MCQs Test covers key concepts like BIBD, Graeco-Latin squares, crossover trials, efficiency, and randomization. Assess your expertise in experimental design and boost your confidence! Let us start with the Block Design MCQs Test now.

Online Block Design MCQs Test with Answers Design of Experiments Quiz
Please go to Block Design MCQs Test 15 to view the test

Online Block Design MCQs Test with Answers

  • Efficiency measures the estimation power or —————- of a design.
  • In a ——————, the units are randomized to a treatment and remain on that treatment throughout the trial duration
  • The order of treatment in a crossover experiment is called a
  • If the response from a crossover trial is binary and there are no period effects, we can use
  • A —————- design is used to control three sources of variation other than treatment.
  • Graeco-Latin square design is also called
  • When effects are measured as deviation from the overall mean, the sum of effects is equal to
  • GLS designs are constructed for a number of treatments from 3-12, except
  • When $p=3$, the error degree of freedom in a GLS design is
  • The degree of freedom of error is small if the number of treatments is
  • If blocking on two sources of variation using incomplete blocks, it is
  • ————- is used in the situation when there are a large number of treatment combinations.
  • Cyclic design structure includes some balanced incomplete and
  • The incomplete design in which each ————— of treatment occurs together the same number of times is called
  • In BIBD, all differences between treatments are measured equally.
  • Block size of BIBD for eight treatments can be 2, 4, and
  • The sum of squares of treatments needs adjustments for incompleteness in
  • Adjusted treatment total sums to
  • BIBD for blocks = 4, block size = 3, treatments = 4, replications = 3, includes number of pairs of observations
  • Random effects analysis is known as

Learn about Exploratory Data Analysis in R

Block Design DOE Quiz 14

by

Test your knowledge of Design of Experiments (DoE) with this Block Design & Latin Square Quiz! This MCQ-based Block Design DOE Quiz covers key concepts like Randomized Complete Block Design (RCBD), Latin Square Design, blocking efficiency, experimental unit arrangements, and more. Perfect for students and researchers in statistics, data science, and experimental design, this quiz helps reinforce understanding of nuisance factors, error degrees of freedom, isotopism, and design efficiency. Sharpen your skills in DoE methodologies and see how well you grasp these advanced statistical techniques!

Please go to Block Design DOE Quiz 14 to view the test

Online Block Design DOE Quiz

  • If the experimental units are homogeneous, then —————- is more efficient than RCBD.
  • In an RCBD error degrees of freedom are smaller than those for the
  • The efficiency of the design decreases when the block size
  • When we want to control the variation of two nuisance factors or two extraneous variables, we use
  • A Latin square design for $p$ factors is also called
  • A Latin square design is applied when two sources of variation are used in the same number of levels, which is also equal to the number of levels of
  • The arrangement of experimental units in groups is called
  • Blocking is used for —————– factors that can be controlled and fixed.
  • Blocking reduces —————– variability.
  • In RCBD treatments in blocks are randomly assigned to the
  • In RCBD, each treatment is applied in each block
  • The analysis of the data from an RCBD is relatively simple when compared to other designs with
  • The design that uses less number of experimental units as compared to a CRD for the same number of treatments is
  • Permute the rows, permute the columns, and permute the names of the symbols of a Latin square we get
  • Isotopism is a/an ————- relation and all isotopic Latin squares make an isotopy class.
  • A —————– Latin square does not allow the analysis of interaction in any case.
  • When using —————- Latin squares, it is highly desirable to replicate the Latin squares to have enough degrees of freedom to estimate error.
  • Latin squares experiment can be replicated by using —————.
  • In all cases of relative efficiency, if $R.E.>1$, the blocking has —————- efficiency.
  • The assumed model in the case of a Latin square design includes a number of terms equal to ————–.
Online Block Design DOE Quiz with Answers Statistics MCQs

Try Econometrics Quizzes