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An independent-measures study comparing four treatment conditions with a sample of n = 8 in each condition produces sample means of M 1 = 2. M 2 = 3. M 3 = 1, and M 1 = 6. a. Compute SS for the set of 4 treatment means. (Treat the means as a set of n = 4 scores and compute SS .) b. Using the result from part a. compute n ( SS mean ). Note that this value is equal to SS between (see Equation 12.6). c. Now, find the 4 treatment totals and compute SS between with the computational formula using the T values (see Equation 12.7). You should obtain the same result as in part b.

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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
Publisher: Cengage Learning
ISBN: 9781133956570
BuyFind

Essentials of Statistics for the B...

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

Solutions

Chapter
Section
Chapter 12, Problem 5P
Textbook Problem

An independent-measures study comparing four treatment conditions with a sample of n = 8 in each condition produces sample means of M1 = 2. M2 = 3. M3 = 1, and M1 = 6.

a. Compute SS for the set of 4 treatment means. (Treat the means as a set of n = 4 scores and compute SS.)

b. Using the result from part a. compute n(SSmean). Note that this value is equal to SSbetween (see Equation 12.6).

c. Now, find the 4 treatment totals and compute SSbetween with the computational formula using the T values (see Equation 12.7). You should obtain the same result as in part b.

Expert Solution

a.

To determine

To find: SS for the set of 4 treatment means.

Explanation of Solution

Given info:

A study comparing 4 treatment conditions each with 8 sample size produce means of 2, 3, 1, 6 respectively.

Calculation:

The formula of SS for the set of 4 treatment means is:

SSmean=(x¯ix¯)2

Here,

x¯=mean of(2,3,1,6)=124=3

Now:

SSmean=(<

Expert Solution

b.

To determine

To find: The n(SSmean) for the given question

Expert Solution

c.

To determine

To find: The SSbetween for the given question

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Chapter 12 Solutions

Essentials of Statistics for the Behavioral Sciences
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