Contribution of Binomial Variation, Technician, Herds, and Cows to Observations Between Cow Variance of Conception Rates

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Abstract
A method of estimating between cow variance is presented. The total variation between cows is p (1 - p) where p is the proportion of cows conceiving to 1st service. This is an estimate of [image] where [image] = variation due to the binomial distribution of the data and [image] = variation between cows. [image] was shown to = (1st service conception rate - 2nd service conception rate) (1-1st service conception rate). Estimates of 62 technicians and 62 Herds were also determined. The total variance of conception rate, expressed as a proportion was 0.22954 and the components of variance were 62 technicians 0.00120, 62 herds 0.00291, 62 cows 0.02238 and 62 binomial variation 0.20305. Variation between technicians accounted for 0.5% of total variation herds 1.3% cows 9.7% and sampling variation 88.5%.

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