Treatment II II n 8 n 4 N = 18 T 16 24 32 G 72 SS 40 SS = 24 SS 16 ΣΧ2 464 || || ||

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
Question

The following data were obtained from an independent-measures research study comparing three treatment conditions. Use an ANOVA with α=.05 to determine whether there are any significant mean differences among the treatments.

The table presented here summarizes data from three different treatment groups, denoted as I, II, and III. Below are the details for each group:

- **Treatment I:**
  - \( n = 8 \): The number of observations in the group.
  - \( T = 16 \): The sum of the observations.
  - \( SS = 40 \): The sum of squares for the group.

- **Treatment II:**
  - \( n = 6 \): The number of observations in the group.
  - \( T = 24 \): The sum of the observations.
  - \( SS = 24 \): The sum of squares for the group.

- **Treatment III:**
  - \( n = 4 \): The number of observations in the group.
  - \( T = 32 \): The sum of the observations.
  - \( SS = 16 \): The sum of squares for the group.

Additionally, the table includes aggregate information:

- \( N = 18 \): The total number of observations across all groups.
- \( G = 72 \): The grand total of all observations.
- \( \Sigma X^2 = 464 \): The sum of squares of all observations. 

This data is often used in statistical analysis, such as ANOVA, to determine if there are significant differences between the treatment groups.
Transcribed Image Text:The table presented here summarizes data from three different treatment groups, denoted as I, II, and III. Below are the details for each group: - **Treatment I:** - \( n = 8 \): The number of observations in the group. - \( T = 16 \): The sum of the observations. - \( SS = 40 \): The sum of squares for the group. - **Treatment II:** - \( n = 6 \): The number of observations in the group. - \( T = 24 \): The sum of the observations. - \( SS = 24 \): The sum of squares for the group. - **Treatment III:** - \( n = 4 \): The number of observations in the group. - \( T = 32 \): The sum of the observations. - \( SS = 16 \): The sum of squares for the group. Additionally, the table includes aggregate information: - \( N = 18 \): The total number of observations across all groups. - \( G = 72 \): The grand total of all observations. - \( \Sigma X^2 = 464 \): The sum of squares of all observations. This data is often used in statistical analysis, such as ANOVA, to determine if there are significant differences between the treatment groups.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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.
Similar 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