Multiple Choice Questions
on
RCB DESIGN
1. 1. In
a Randomized Complete Block design, the randomization is restricted in
i.
One
direction
ii.
Two directions
iii.
Three directions
iv.
No restriction
2. 2 If
there are 6 treatments with 3 blocks in a Randomized Complete Block Design
(RCBD) then the degrees of freedom for error are
i.
3
ii.
6
iii.
10
iv.
15
3. 3. In
RCBD we may assume that the treatment are fixed and the blocks are random, such
a model is called
i.
Random effect model
ii.
Mixed effect model.
iii.
Rare effect model
iv.
Fixed
effect model.
4. 4. In
case of one source of variation CRD is not applicable but
i.
GLSD is used.
ii.
LSD is used.
iii.
ANCOVA is used.
iv.
RCBD
is used.
5. 5. In
RCBD, if the degree of freedom for treatment and block are 9 and 6
respectively. The degree of freedom for error & total are:
i.
(36, 69)
ii.
(54,
69)
iii.
(32, 70)
iv.
(36, 70)
Practice Questions
Q 1: Four treatments are given in four blocks in a
RCB design as tabulated below:
|
Block |
Treatment |
Total |
|||
|
A |
B |
C |
D |
||
|
1 |
|
|
|
|
1487 |
|
2 |
|
|
|
|
1134 |
|
3 |
|
|
|
|
1892 |
|
4 |
|
|
|
|
614 |
|
Total |
819 |
904 |
1840 |
1564 |
5127 |
The total sum of squares = 425314.
Perform RCB and test the hypotheses the four
treatments and 4 blocks are significant at 5 %.
Q 2: The ANOVA from RCBD output is shown below:
|
SV |
df |
SS |
MS |
F |
|
Treatment
|
4 |
1010.56 |
? |
29.84 |
|
Block |
? |
? |
64.765 |
? |
|
Error |
20 |
169.33 |
? |
|
|
Total |
29 |
1503.71 |
|
|
(a) Fill in the blanks.
(b) How many blocks were used in this experiment?
(c) What conclusions can you draw?
Q 3: Three different washing solutions are being
compared to study their effectiveness in retarding bacteria growth in 5-gallon
milk containers. The analysis is done in a laboratory, and only three trials
can be run on any day. Because days could represent a potential source of
variability, the experimenter decides to use a randomized block design.
Observations are taken for four days, and the data are shown here. Analyse the data
from this experiment (use
|
|
Days
|
|||
|
Solution |
1 |
2 |
3 |
4 |
|
1 |
13 |
22 |
18 |
39 |
|
2 |
16 |
24 |
17 |
44 |
|
3 |
5 |
4 |
1 |
22 |
Q 4: Give the main reason to divide the experimental
units into subgroups or blocks.
Q 5: Write any THREE disadvantages of Randomized
Complete Block (RCB) design.
Q 6: In a Randomized Complete Block Design (RCBD),
there are 4 treatments and 5 blocks. By using the given values, Complete the
ANOVA table.
|
SV |
|
SS |
MS |
F |
|
Treatment |
? |
147 |
? |
? |
|
Block |
? |
35 |
? |
? |
|
Error |
? |
43 |
? |
|
|
Total
|
? |
? |
|
|
Q 7: If
4 treatments and 4 blocks contain one missing observation in RCBD, It is given
that SSE = 7.3, then what would be the MSE?
Q 8: Estimate
the relative efficiency of RCB design to CR design by using the data given
below:
|
|
|
MS |
|
Treatment |
9 |
0.4074 |
|
Block |
3 |
1.1986 |
|
Error
|
27 |
0.6247 |
|
Total
|
39 |
2.2309 |
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