Chapter 30, Problem 30.17CYS

To determine

To find: The number of pair wise comparison for the three treatments.

Answer to Problem 30.17CYS

The correct option is (b) three.

Explanation of Solution

Reason for correct answer:

The comparison between 3 treatments is to be done, therefore the possible pairs are $\text{A}\text{to}\text{B,}\text{A}\text{to}\text{C}\text{and}\text{B}\text{to}\text{C}$.

The reverse pairing would not be taken into consideration as the comparison will be same, even though the difference in the means would be opposite in signs.

The rest of the comparison would be identical.

Hence, the number of pair wise comparison would be (b) three.

Reason for incorrect answers:

Option (a) is two

The option represents that the number of comparison is two but from the given three treatments the possible comparison or relation will be three.

Option (c) is four.

The option represents that the number of comparison is four but from the given three treatments the possible comparison or relation will be three.

Thus, options (a) and (c) are incorrect.

Conclusion:

Thus, the number of comparison between three treatments is three.

Statistics Concept Introduction

Introduction:

ANOVA compare all the possible relation between any treatments if the comparison is pair wise it will consider any two events and compare the values.