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For this example, we are interested in how different fertilizer treatments have affected plant growth (as measured by plant height). Also note, you can find a nice online tutorial on ANOVA using python here .
Example 1: LTEs with monocultures or perennial crops. Wheat is grown in continuous cropping from 1983 to 2012, with three fertilisation levels (150, 200 and 250 kg N ha \(^{-1}\)), randomly assigned to three plots in each of three blocks. In all, there are nine plots with yearly sampling, with a total of 270 wheat yield observations in 30 years.
ANOVA is particularly useful in cases where a researcher might be evaluating the effect of fertilizer rate across several varieties of crop. Here, the researcher is interested in whether varieties differed in response to fertilizer, which will be exposed through a significant interaction term in the ANOVA source table.
Let’s develop an example to see how an ANOVA is done. An experiment in northwest Iowa compared the yield of a corn hybrid planted at three plant densities to determine the optimum planting rate. The data are given in Table 1.
In this article, we’ll guide you through what ANOVA is, how to determine which version to use to evaluate your particular experiment, and provide detailed examples for the most common forms of ANOVA.
Example ANOVA Table: Imagine a company develops a novel type of fertil'zer. They raise plants under 3 light levels With 2 types Of fertilizer, the new fertilizer and a previous formula.
Objective: To evaluate fertilization with vermicompost and NPK mineral fertilizer in young Persian lime (Citrus x latifolia Tanaka ex Q. Jiménez) trees.