Exercises Directions: In all problems asking for an ANOVA test, give the values

Question

Exercises Directions: In all problems asking for an ANOVA test, give the values of the appropriate test statistics F and the critical values (or the P-values). In all exercises, use a 0.05 significance level. 1. A new variety of seed corn is being tested under various soil types and treatment methods. Three fields with different soil types (I, II, and III) are divided into four quadrants. In one quadrant, the seeds are irrigated; in another, they are given fertilizer; in still another, they are given both; and in the last, they are given no treatment. The table below lists the yields (in bushels per acre) of each combination. Does there appear to be a significant difference between the treatment methods? Does the soil type appear to affect the yiel Based on these results, which treatment method and soil type appear to produce the highest yield? 2 Treatment Soil Type Irrigation Fertilizer Both None 65.3 73.6 65.3 72.5 60.7 60.2 69.4 61.2 72.1 76.1 70.1

Explanation / Answer

Covert this table into an csv file with

column 1 = yields

column 2 = treatment

column 3 = soiltype

name the file as yield.csv

## loading the file in R

yield_df<- read.csv("yield.csv")

result <- aov(yield ~ treatment*soiltype, data = yield_df)

results

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