Design and analysis of more complex factorial experiments.
C. Ireland
Abstract
C. Ireland
Abstract
This chapter describes the design and analysis of randomized block experiments and more systematic designs such as split-plot, nested (or hierarchical), Latin square and repeated-measures designs developed to handle more complex experimental situations. Some examples are shown, including the application of analysis of variance (ANOVA) to a randomized complete block experiment using the data of a field trial on yield of 4 potato cultivars and to a multiple-factor randomized complete block design experiment using the data of a field trial on the effect of a fertilizer spray on the yield in 4 potato cultivars. A split-plot designed experiment is also shown using the yield of 3 different cultivars of glasshouse-grown strawberries in response to 3 day-length extension treatments.
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This chapter describes the design and analysis of randomized block experiments and more systematic designs such as split-plot, nested (or hierarchical), Latin square and repeated-measures designs developed to handle more complex experimental situations. Some examples are shown, including the application of analysis of variance (ANOVA) to a randomized complete block experiment using the data of a field trial on yield of 4 potato cultivars and to a multiple-factor randomized complete block design experiment using the data of a field trial on the effect of a fertilizer spray on the yield in 4 potato cultivars. A split-plot designed experiment is also shown using the yield of 3 different cultivars of glasshouse-grown strawberries in response to 3 day-length extension treatments.
Key concepts: Randomized block design, Split plot, Mathematics, Cultivar, Factorial experiment, Restricted randomization, Block (permutation group theory), Main effect