A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children. Three samples of children are selected with n = 5 in each sample.  One group gets no sugar, one group gets a small dose, and the third group gets a large dose.  The psychologist records the activity level for each child.  The data from this experiment are presented below.                                 No sugar      Small dose      Large dose                                                        5                   3                    6                                          3                   3                    8                                          1                   7                    5      G = 60                                          1                   4                    2      ΣX2 = 298                                          5                   3                    4                                                    T = 15          T = 20            T = 25                                            SS = 16       SS = 12          SS = 20   Fill in the ANOVA table below: Source                SS                    df                           MS                     F Between                                                     Within                                Total      Do these data indicate any significant differences among the three groups? Test with α = .05. Fcritical =       _____________ Decision = _____________ Compute η2 , the percentage of variance accounted for by the treatment.   η2   = ______________

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children. Three samples of children are selected with n = 5 in each sample.  One group gets no sugar, one group gets a small dose, and the third group gets a large dose.  The psychologist records the activity level for each child.  The data from this experiment are presented below. 

                               No sugar      Small dose      Large dose              

                                         5                   3                    6

                                         3                   3                    8

                                         1                   7                    5      G = 60

                                         1                   4                    2      ΣX2 = 298

                                         5                   3                    4         

                                          T = 15          T = 20            T = 25

                                           SS = 16       SS = 12          SS = 20

 

  1. Fill in the ANOVA table below:

Source                SS                    df                           MS                     F

Between                                                    

Within                               

Total   

 

  1. Do these data indicate any significant differences among the three groups? Test with α = .05.

Fcritical =       _____________

Decision = _____________

  1. Compute η2 , the percentage of variance accounted for by the treatment. 

 η = ______________

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman