Q 1.83. - Elementary Statistics

Question

Define each of the following terms in the context of experimental design. 

(a)  Response variable 

(b)  Factor 

(c)   Levels 

(d)  Treatments 

Step-by-Step Solution

Answer

Part (a) experimental outcome that is quantified or investigated is the response variable.

Part (b) A variable that has an effect on the response variable in a controlled experiment.

Part (c) Levels are the possible values that a factor can have in a controlled experiment.

Part (d) The experimental settings are referred to as treatments in a planned experiment.

Step 1. Given information.

The given statement is:

Define each of the following terms in the context of experimental design. 

Response variable, Factor, Levels, and Treatments.

Part (a) Step 2. Define the response variable.

The response variable is described by means of the experimental outcome that is quantified or investigated.

Part (b) Step 1. Define factor.

A variable whose effect on the response variable can be observed in a designed experiment is referred to as a factor.

Part (c) Step 1. Define Levels.

Levels can be defined as the possible values that are taken by a factor in a designed experiment.

Part (d) Step 1. Define Treatments.

 The experimental settings for a planned experiment are referred to as treatments.