A Mathematical Model for the Estimation of Inter-Plant Competition

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Abstract
The problem of measuring inter-plant competition is discussed and a competition model for regular hexagonal arrays of plants is suggested, based on correlation between neighboring pairs of plants. A method of estimating the correlation coefficient is produced and transformations to normality for the estimated correlation coefficient are obtained for 3 small sample patterns. The necessity of the assumption of normality for the initial variate (individual plant yield) is considered. A numerical example from an experiment with cabbage shows the estimation of the correlation coefficient and the analysis of variance for such estimates.

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