Are two factors helpful? In 2014, a two-factor experiment was conducted in Eufaula city in Alabama (Omidire et al., 2015). It was designed to compare two fertilizers and to analyze whether yield results depend on crop type.

The total yield (lbs/acre) of cucumber and okra harvested from plots fertilized with two different types of fertilizers are as shown in the table.

a. Identify the two factors (explanatory variables) and the response variable.

b. What would be the conclusion of the study if it did only a one-factor analysis on fertilizer, looking at the overall results and not having the information about crop type?

c. What could the study learn from the two-factor study that it would have missed by doing a one-factor study on fertilizer alone?

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Total Yield (lbs/acre) by Fertilizer type and Crop type Crop Fertilizer Cucumber Okra Overall Inorganic Fertilizer 59,625.33 25,437.62 85,062.95 Inorganic Fertilizer with microbes 72,791.33 24,697.60 97,488.93 Overall 132,416.66 50,135.22 182,551.88