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Abstract:
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Unreplicated 2^k factorial designs are common in industrial experiments, but not in agricultural field experiments. The main reasons are large experimental errors due to weather- and soil-related factors and the unwillingness of agronomists to consider unreplicated designs. In this study, an unreplicated 2^5 factorial design was used to determine the effect of nitrogen, phosphorus, potassium, compost, and seaweed extract on dry matter yield. The Normal Probability Plot of effect estimates and the Lenth method were used in the first phase of the analysis. In the second phase, ANOVA was completed by either projecting the design to a replicated factorial with fewer factors or reducing the model by moving insignificant high-order interaction effects to the error. The study revealed up to four-factor significant interaction effects, despite the unusually dry weather during the study years.
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