Example 2 4 of 4 study with beef animals consisted of several sires each mated to a separate group of dams. The matings that resulted in male progeny calves were used for an inherited study of birth weights. The birth weights of eight male calves in each of the five sire groups was analysed and yield to the following ANOVA table. a) b) Source of variation Sires Error Teason. i.e df 4 35 Assume a random model for this study. Test for the hypothesis at 0.05 level of Confidence interval estimator for : significance Estimate the components of the variance for sires and progeny within sires. Confidence interval estimator for Determine the 90% confidence intervals for the variance components. SS 5591.1 16 232.7 SSE A B=

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Example 2
4 of 4
study with beef animals consisted of several sires each mated to
a separate group of dams. The matings that resulted in male progeny calves
were used for an inherited study of birth weights. The birth weights of eight
male calves in each of the five sire groups was analysed and yield to the
following ANOVA table.
Source of
variation
Sires
Error
b)
df
Confidence interval estimator for :
4
Confidence interval estimator for :
35
a) Assume a random model for this study. Test for the hypothesis at 0.05
level of
σ²
significance
Estimate the components of the variance for sires and progeny within
sires.
SS
5591.1
16
232.7
Teason.
Determine the 90% confidence intervals for the variance components.
SSE
SST
rxC
σ <
A=X (N-1):
B = X₁-. (N-1)
2 C = x²(t-1)
MS
1397.
8
463.8
D = X₁-(t-1)
F
3.0
1
SSE
B
SST
rxD
Transcribed Image Text:Example 2 4 of 4 study with beef animals consisted of several sires each mated to a separate group of dams. The matings that resulted in male progeny calves were used for an inherited study of birth weights. The birth weights of eight male calves in each of the five sire groups was analysed and yield to the following ANOVA table. Source of variation Sires Error b) df Confidence interval estimator for : 4 Confidence interval estimator for : 35 a) Assume a random model for this study. Test for the hypothesis at 0.05 level of σ² significance Estimate the components of the variance for sires and progeny within sires. SS 5591.1 16 232.7 Teason. Determine the 90% confidence intervals for the variance components. SSE SST rxC σ < A=X (N-1): B = X₁-. (N-1) 2 C = x²(t-1) MS 1397. 8 463.8 D = X₁-(t-1) F 3.0 1 SSE B SST rxD
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