Question

In Exercises, we present descriptions of designed experiments. In each case, identify the

a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).

Answer 1

Experimental unit = Oat

Response variable = Oat yield

Factors : Oat varieties ; Manure Concentration

Level of factors :

Oat = 3 levels

Manure concentration = 4 levels

Explanation:

The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.

The response variable is what we intend to measure about the experimental unit, which is the yield of oat.

Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.

Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.