Question

In Exercises 1.92-1.97, 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).

Short answer

(a) experimental units:- Oats.

(b) response variable:- Oat Yields.

(c) factor (s):- varieties of oats and concentrations of manure.

(d) levels of each factor:- varieties of oats have three levels and concentrations of manure have four levels.

(e) treatments:- 12.

Step-by-step solution

Part (a) Step 1. Given information.

The given statement is:

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).

Part (a) Step 2. Identify the experimental units.

Taking into consideration the given designed experiment, Experimental units is oat that is being studied in this study.

Part (b) Step 1. Identify the response variable.

The response variable, of the given designed experiment, is the oat yield.

Part (c) Step 1. Identify the factor.

Here, the factors include varieties of oats and concentrations of manure.

Because researchers analyzed the varieties of oats and four different concentrations of manure.

Part (d) Step 1. Identify the levels of each factor.

There are three levels of different varieties of oats that are included in the level of varieties of oats and also have four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre) that are described as the levels of concentrations of manure.

Part (e) Step 1. Identify the treatments.

It includes the 12 different possible ways of three levels of varieties of oats and four levels of manure concentrations.