Question

Cola Weights The displayed results from Exercise 1 are from one-way analysis of variance. What is it about this test that characterizes it as one-way analysis of variance instead of two-way analysis of variance?

Short answer

As the mean weights of the cans are categorized on only one factor, that is, the type of cola, the analysis of variance test is called the one-way analysis of variance test.

Step-by-step solution

Given information

An analysis of variance test is conducted to test the difference in the mean weights of the four samples of cola.

Describe the one-way and two-way analyses of variance

The term ‘factor’ refers to the independent variables of the study. Depending on the number of factors used to categorize the variable under study, the test for the comparison of three or more group means is referred to as a one-way or two-way analysis of variance.

• In an analysis of variance test, if the sample values are categorized based on only one factor, it is called the one-way analysis of variance test.
• In an analysis of variance test, if the sample values are categorized on two factors, it is called the two-way analysis of variance test.
• The term ‘factor’ refers to the independent variables of the study. Depending on the number of factors used to categorize the variable under study, the test for the comparison of three or more group means is referred to as a one-way or two-way analysis of variance.
  • In an analysis of variance test, if the sample values are categorized based on only one factor, it is called the one-way analysis of variance test.
  • In an analysis of variance test, if the sample values are categorized on two factors, it is called the two-way analysis of variance test.