   Chapter 12.6, Problem 2LC Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Three treatments, each with a sample of n = 8 participants, have treatment totals of T1 = 16, T2 = 32, and T3 = 40, and produce MSwithin = 2.5.a. Use Tukey's HSD test with α = .05 to evaluate the significance of the mean difference between treatments 1 and 2.b. Use the Scheffé test with α = .05 to evaluate the significance of the mean difference between treatments1 and 2.

a.

To determine

To evaluate: The significance of the mean difference between the treatments 1 and 2 using Tukey’s HSD test with α=0.05.

Explanation

Given info:

3 treatments each with size 8 have treatment tables 16, 32 and 40. The value of MSwithin is 2.5. N equal 24.

Calculation:

Tukey’s HSD:

The value of Tukey’s HSD test is obtained using the formula:

HSD=qMSwithinn

Here, k=3, and dfwithin=21 (i.e. nk), and α=0.05 we get q=3

b.

To determine

To evaluate: The significance of the mean difference between the treatments 1 and 2 using Scheffe’s test with α=0.05.

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