# MCQs DOE 2

Multiple Choice Questions about the Design of Experiments for preparation of examinations related to PPSC, FPSC, NTS, and Statistics job- and education-related examinations

1. The parameter $\lambda$ for a balanced incomplete block design with $a=4, b=4, k=3, r=3$ as usual notation is

2. For a two-factor factorial design, if there are ‘$a$’ levels of Factor-A and ‘$b$’ levels of Factor-B, then $df$ of interaction are:

3. In $3^k$ factorial design with $n$ replicates in the experiment, the $df$ of error are

4. Let ADE and BCE be two effects confounded in blocks. Then generalzed interaction is

5. If ABC is confounded in replicate I,
AB is confounded in replicated II,
BC is confounded in replicate III,
then the design technique is called

6. An important relationship between the coefficient of determination $R^2$ and F-ratio used in ANOVA is

7. In a randomized complete block design, block should be constructed so that

8. For a Latin Square design

9. In a factorial experiment, if $r$ is the number of replicates then each factorial effect has the same variance, that is

10. When all pairs of treatments are compared with approximately the same precision, even though the differences among blocks may be large, called

11. In $2^3$ factorial experiment with partial confounding in three replications of 6 blocks, the error degrees of freedom would be

12. When factorial experiment is performed in fractional replication, the two factorial effects that are represented by the same comparisons are called

13. When a number of confounded arrangements for factorial designs are made in Latin Squares, the designs are called

14. The number of aliases of two factor interactions in a $2^6$-factorial experiment (1/4 replicate) would be

15. The designs in which the number of treatments must be an exact square, the size of block is the square root of this form separate replications are called

16. A design with $v$ treatment labels, each occurring $r$ times, and with $bk$ experimental units grouped into $b=v$ blocks of size $k<v$ in such a way that the units within a block are alike and units in different blocks are substantially different is

17. An experiment was designed to investigate the effect of the amount of water and seed variety upon the subsequent growth of plants. Each plant was potted in a clay plot, and a measured amount of water was given weekly. The height of the plant at the end of the experiment was measured. Which of the following is not correct?

18. The models in which the levels of treatment factors are specifically chosen are known as

19. Which of the following is NOT CORRECT about a randomized complete block experiment?

20. An experiment was conducted where you analyzed the results of the plant growth experiment after you manipulated the amount of water and seed variety. Which of the following is correct? 