ix researchers at different universities agree to carry out exactly the same social psychology experiment involving three treatment conditions.  When the studies are complete, they pool their data to study outcome variable Y, and they carry out a two-way ANOVA.  Assuming that 10 subjects were randomly assigned to each of the treatments at each of the sites, what are the degrees of freedom associated with each of the variance components outlined in the ANOVA Table shown below?  Two versions of the analysis are planned.  In the first analysis, the researchers restrict their interest to the six specific sites included in the joint research.  In the second analysis they consider the six universities to be a sample from the population of American universities.  For each analysis, look up the critical F values for a  =.05, and enter them into the table below.  (The critical value is the number the F statistic must exceed to be considered statistically significant at the .05 level.)  Also indicate the deg

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 3CT
icon
Related questions
Question

Six researchers at different universities agree to carry out exactly the same social psychology experiment involving three treatment conditions.  When the studies are complete, they pool their data to study outcome variable Y, and they carry out a two-way ANOVA.  Assuming that 10 subjects were randomly assigned to each of the treatments at each of the sites, what are the degrees of freedom associated with each of the variance components outlined in the ANOVA Table shown below? 

Two versions of the analysis are planned.  In the first analysis, the researchers restrict their interest to the six specific sites included in the joint research.  In the second analysis they consider the six universities to be a sample from the population of American universities.  For each analysis, look up the critical F values for a  =.05, and enter them into the table below.  (The critical value is the number the F statistic must exceed to be considered statistically significant at the .05 level.)  Also indicate the degrees of freedom for each F.

Source of Variance
D.F.
Mean
Critical F Values
Squares
Specific site
Random site
Treatment
TMS
Site
SMS
Treatment by Site
Interaction
TSMS
Within treatment
WMS
Group
Adjusted Total
Transcribed Image Text:Source of Variance D.F. Mean Critical F Values Squares Specific site Random site Treatment TMS Site SMS Treatment by Site Interaction TSMS Within treatment WMS Group Adjusted Total
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Anova and Design of Experiments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning