Question

13.18 Explain the logic behind one-way $ANOVA$.

Short answer

One way $ANOVA$ is applied to two groups, it gives the identical results as $t$-test.

Step-by-step solution

Given information

To explain the logic behind one-way$ANOVA$.

Explanation

The $ANOVA$ stands for analysis of variance.
It calculates the difference in means between more than two groups.
The core principle behind a one-way $ANOVA$is that it compares the means of many groups in the same way that a $t$-test compares the means of two independent groups.
When a one-way $ANOVA$is used on two groups, the findings are equivalent to a $t$-test.