Question

You want to select a turkey having the best breeding value of breast weight using progeny information. Now you have a turkey population, and Kiki is your favorite turkey. Kiki has 10 progeny, and the phenotypic mean (deviated from the population mean) of Kiki’s progeny is +3 lbs. The accuracy of predicting breeding value from Kiki’s breast weight is 0.6.

Find the accuracy of prediction when using Kiki’s progeny mean to predict Kiki’s breeding value, the regression coefficient when using Kiki’s progeny mean to predict Kiki’s breeding value, Kiki’s estimated breeding value.

Next, find the variance of breeding value in this population if the 95% confidence range for Kiki’s breeding value estimated by progeny mean is [1.22 lbs, 4.72 lbs], and list two ways of improving the selection accuracy.

Answer 1

For variance, you are supposed to find the mean first.

Mean= (1.22+4.72)/2 = 2.97

Now variance is the average of the squared differences from the mean.

So,

Variance = [(1.22-2.97)2 + (4.72-2.97)2]/2

Variance = [(-1.75)2 + (1.75)2]/2

Variance = [3.06 + 3.06]/2

Variance = 6.12/2

Variance = 3.06

Extra edge:-

Standard deviation is the square root of variance.

So here, standard deviation = √3.06 = 1.75

Hope your doubts are cleared. Any feedbacks are warmly welcomed.