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Number of Replications for Precise Estimation of Optimum Plant Density and Maximum Corn Yield¹

The precision of estimates of A and K in the exponential regression model, Y = NAK^N + error, relating corn (Zea mays) yield to plant density, and the precision of estimates of optimum density and maximum yield are influenced by the particular set of densities employed in an experiment. A procedure for determining the number of replications necessary to provide reasonable confidence of obtaining precise estimates is outlined, and two illustrative examples are given.

Key Words: Statistical methods • Exponential regression • Non-linear regression

² Associate Professor of Biometry, Department of Agronomy, University of Illinois.

Received for publication September 5, 1969.