Canadian Journal of Statistics

Sampling a finite population in the presence of trend and correlation: Estimation of total 305‐day lactation production in cattle

Journal Article

Abstract

This paper studies the estimation of a finite population total in the presence of trend. A practical problem of dairy science is to estimate a cow's total 305‐day milk production given a number of test‐day records. We analyze this problem as one of estimating the total of a discrete population when the population values are correlated and exhibit a trend over time. Linear prediction estimators that are BLUE for known covariance and trend function linear in unknown parameters were applied to the estimation of the milk yield total. An empirical study compares BLUE with the expansion estimator and the procedure currently used by the Canadian Record of Performance for Dairy Cattle.

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