Question

1. In your own words, what is one-way analysis of variance used for (Section 12-2)? 2. In your own words, if we want to test for equality of the three means in a sample, why don’t we use three separate hypothesis tests for W3D1 (Section 12-2)? 3. In your own words, what is the main difference between one-way analysis of variance and two-way analysis of variance (Section 12-3)?

Answer 1

Answer:

The one-way analysis of variance isused to determine if there are statisticallysignificant differences between the means oftwo or more independent groups.

If we use three separate hypothesis tests, wewill have type I error associated with each testand that would lead to more risk of committingtype I error. The use of one-way ANOVA helpsus to solve this problem by comparing two ormore groups using a single type I error usually5%.

The main difference between one-wayANOVA and two-way ANOVA is that:One-way ANOVA has one factor or oneindependent variable, while the two-way ANOVAhas two factors or two independent variables.