Homework Help is Here – Start Your Trial Now!
Social Science
Psychology
8. A researcher uses an ANOVA to compare six treatment 12 in each treatment. conditions with a sample of n For this analysis, find dftotal, dfbetween, and dfwithin- -

8. A researcher uses an ANOVA to compare six treatment 12 in each treatment. conditions with a sample of n For this analysis, find dftotal, dfbetween, and dfwithin- -

Ciccarelli: Psychology_5 (5th Edition)
Ciccarelli: Psychology_5 (5th Edition)
5th Edition
ISBN:9780134477961
Author:Saundra K. Ciccarelli, J. Noland White
Publisher:Saundra K. Ciccarelli, J. Noland White
Chapter1: The Science Of Psychology
Section: Chapter Questions
Problem 1TY
See similar textbooks
icon
Related questions
Question
#8- need help show full work psyc stats
**Problem 8:** A researcher uses an ANOVA to compare six treatment conditions with a sample of \( n = 12 \) in each treatment. For this analysis, find \( df_{\text{total}} \), \( df_{\text{between}} \), and \( df_{\text{within}} \). --- **Explanation:** In ANOVA, the degrees of freedom are calculated to understand how many values in the final calculation are free to vary: - **Total Degrees of Freedom (\( df_{\text{total}} \)):** - Formula: \( N - 1 \) - Where \( N \) is the total number of observations. Here, \( N = \text{Number of Treatments} \times \text{Sample Size per Treatment} = 6 \times 12 = 72 \). - Thus, \( df_{\text{total}} = 72 - 1 = 71 \). - **Between-Groups Degrees of Freedom (\( df_{\text{between}} \)):** - Formula: \( k - 1 \) - Where \( k \) is the number of treatment groups. Here, \( k = 6 \). - Thus, \( df_{\text{between}} = 6 - 1 = 5 \). - **Within-Groups Degrees of Freedom (\( df_{\text{within}} \)):** - Formula: \( N - k \) - Given \( N = 72 \) and \( k = 6 \), - Thus, \( df_{\text{within}} = 72 - 6 = 66 \). These calculations help determine the variance within treatments and between treatments to assess any significant differences using ANOVA.
Transcribed Image Text:**Problem 8:** A researcher uses an ANOVA to compare six treatment conditions with a sample of \( n = 12 \) in each treatment. For this analysis, find \( df_{\text{total}} \), \( df_{\text{between}} \), and \( df_{\text{within}} \). --- **Explanation:** In ANOVA, the degrees of freedom are calculated to understand how many values in the final calculation are free to vary: - **Total Degrees of Freedom (\( df_{\text{total}} \)):** - Formula: \( N - 1 \) - Where \( N \) is the total number of observations. Here, \( N = \text{Number of Treatments} \times \text{Sample Size per Treatment} = 6 \times 12 = 72 \). - Thus, \( df_{\text{total}} = 72 - 1 = 71 \). - **Between-Groups Degrees of Freedom (\( df_{\text{between}} \)):** - Formula: \( k - 1 \) - Where \( k \) is the number of treatment groups. Here, \( k = 6 \). - Thus, \( df_{\text{between}} = 6 - 1 = 5 \). - **Within-Groups Degrees of Freedom (\( df_{\text{within}} \)):** - Formula: \( N - k \) - Given \( N = 72 \) and \( k = 6 \), - Thus, \( df_{\text{within}} = 72 - 6 = 66 \). These calculations help determine the variance within treatments and between treatments to assess any significant differences using ANOVA.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Ciccarelli: Psychology_5 (5th Edition)
Ciccarelli: Psychology_5 (5th Edition)
Psychology
ISBN:
9780134477961
Author:
Saundra K. Ciccarelli, J. Noland White
Publisher:
PEARSON
Cognitive Psychology
Cognitive Psychology
Psychology
ISBN:
9781337408271
Author:
Goldstein, E. Bruce.
Publisher:
Cengage Learning,
Introduction to Psychology: Gateways to Mind and …
Introduction to Psychology: Gateways to Mind and …
Psychology
ISBN:
9781337565691
Author:
Dennis Coon, John O. Mitterer, Tanya S. Martini
Publisher:
Cengage Learning
Psychology in Your Life (Second Edition)
Psychology in Your Life (Second Edition)
Psychology
ISBN:
9780393265156
Author:
Sarah Grison, Michael Gazzaniga
Publisher:
W. W. Norton & Company
Cognitive Psychology: Connecting Mind, Research a…
Cognitive Psychology: Connecting Mind, Research a…
Psychology
ISBN:
9781285763880
Author:
E. Bruce Goldstein
Publisher:
Cengage Learning
Theories of Personality (MindTap Course List)
Theories of Personality (MindTap Course List)
Psychology
ISBN:
9781305652958
Author:
Duane P. Schultz, Sydney Ellen Schultz
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS