to each cow and the total milk in the third week of each period was recorded. The experiment lasted in 18 months. The researcher felt that time period might influence milk yields. Hence, the experiment were recorded on was designed by two-way blocking i.e. cows and time period, and the data each treatment and the following missing ANOVA was recorded. P- sov Df MS F-ratio value Cow 16.56 0.72 0.616 Time Period 5 558.89 24.33 0.000 Treatment 5 * 295.944 * 0.000 Error 4.594 Total 538.96 Grand Mean 55.389 i. Complete all the missing entries (*) in the ANOVA Write all possible hypotheses (both null and alternative) for the given problem. Draw conclusions at 5% level of probability regarding the Cows, Time Period and treatment effects. ii. ii. 1

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were fed for three weeks
to each cow and the total milk in the third week of each period was recorded. The experiment
months. The researcher felt that time period might influence milk yields. Hence,
was designed by two-way blocking i.e, cows and time period, and the data
lasted in 18
the experiment
were recorded on
each treatment and the following missing ANOVA was recorded.
P-
Sov
Df
MS
F-ratio
value
Cow
16.56
0.72
0.616
Time Period
558.89
24.33
0.000
Treatment
295.944 *
0.000
Error
4.594
Total
538. 96
Grand Mean 55.389
i.
Complete all the missing entries (*) in the ANOVA
Write all possible hypotheses (both null and alternative) for the given problem.
Draw conclusions at 5% level of probability regarding the Cows, Time Period
and treatment effects.
ji.
ii.
Also calculate the Coefficient of variation (CV) for this particular experiment.
Calculate the value of LSD for Treatment comparison.
iv.
v.
A study was conducted to optimize the concentration temperature in relation to
the amount of solids content (g/L) of orange concentrate (treatments). Due to
limited number of evaporators available, the experimenter was forced to use 4
different sized evaporators. It was presumed that the size of the evaporators
could be a possible source of variation (columns). As each run took 4 days time,
it was decided to control the effect of the experimentation time (rows) and the
experiment was conducted in a Latin Square Design. Answer the following
questions:
i.
Q2.
What will be the layout of this design
Write the ANOVA showing the first two columns only (i.e. SoV and degrees of
freedom)
Consider orange concentrate as treatments and time as a blocking factor
(RCBD) by ignoring evaporator effect, Write the layout of this design
By considering (ii) make ANOVA showing only the first two columns
ii.
ii.
iv.
Q3.
An experiment was conducted to investigate the effect of 3 different levels of
temperature and applied ethylene levels (low and high) on the time (in days)
required for ripening of dessert banana. The experiment was conducted in RCBD
with 3 replicates, and the following missing ANOVA was recorded.
Sov
df
MS
F-ratio
P-value
Block
208.667 30.99
0.000
Temperature
(T)
Ethylene (E)
2
21.33
*
0.253
*
98
14.55
0.003
TxE
2
*
74
0.003
Error
67.333
6.733
Total
752
а).
b).
c).
Complete the missing entries (*) in the ANOVA Table.
Write all possible hypotheses (both null and alternative) for the given problem.
Draw conclusions about the significance of temperature, ethylene and interaction
of T and E at 5% level of significance.
Transcribed Image Text:were fed for three weeks to each cow and the total milk in the third week of each period was recorded. The experiment months. The researcher felt that time period might influence milk yields. Hence, was designed by two-way blocking i.e, cows and time period, and the data lasted in 18 the experiment were recorded on each treatment and the following missing ANOVA was recorded. P- Sov Df MS F-ratio value Cow 16.56 0.72 0.616 Time Period 558.89 24.33 0.000 Treatment 295.944 * 0.000 Error 4.594 Total 538. 96 Grand Mean 55.389 i. Complete all the missing entries (*) in the ANOVA Write all possible hypotheses (both null and alternative) for the given problem. Draw conclusions at 5% level of probability regarding the Cows, Time Period and treatment effects. ji. ii. Also calculate the Coefficient of variation (CV) for this particular experiment. Calculate the value of LSD for Treatment comparison. iv. v. A study was conducted to optimize the concentration temperature in relation to the amount of solids content (g/L) of orange concentrate (treatments). Due to limited number of evaporators available, the experimenter was forced to use 4 different sized evaporators. It was presumed that the size of the evaporators could be a possible source of variation (columns). As each run took 4 days time, it was decided to control the effect of the experimentation time (rows) and the experiment was conducted in a Latin Square Design. Answer the following questions: i. Q2. What will be the layout of this design Write the ANOVA showing the first two columns only (i.e. SoV and degrees of freedom) Consider orange concentrate as treatments and time as a blocking factor (RCBD) by ignoring evaporator effect, Write the layout of this design By considering (ii) make ANOVA showing only the first two columns ii. ii. iv. Q3. An experiment was conducted to investigate the effect of 3 different levels of temperature and applied ethylene levels (low and high) on the time (in days) required for ripening of dessert banana. The experiment was conducted in RCBD with 3 replicates, and the following missing ANOVA was recorded. Sov df MS F-ratio P-value Block 208.667 30.99 0.000 Temperature (T) Ethylene (E) 2 21.33 * 0.253 * 98 14.55 0.003 TxE 2 * 74 0.003 Error 67.333 6.733 Total 752 а). b). c). Complete the missing entries (*) in the ANOVA Table. Write all possible hypotheses (both null and alternative) for the given problem. Draw conclusions about the significance of temperature, ethylene and interaction of T and E at 5% level of significance.
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