The following table gives the sums of squares (SS) from an analysis of variance of a random-breeding population of pigs. The trait was the feet efficiency (gain per unit of feet consumed). There were 30 sires each mated to 5 dams. Each female pig produced 8 offspring. The feet efficiency of each progeny was recorded and the data were subject to an analysis of variance for estimating the narrow sense heritability of feet efficiency. Note that the hierarchical mating design is perfectly balanced.

 

(a) Complete the ANOVA table by filling up all the blank spaces. (b) Calculate the variance components of sires (03), dams (0) and within ( ). (c) Estimate the heritability using all the three formulas provided in the handout (paternal-half sib, maternal half-sib and full-sib). Note that the three estimated narrow sense heritability may be different. Source Df SS MS Sires 7250 Dams Within 9600 52500 o 0% + E(MS) o - 2