The following scores are from an independent- study comparing two treatment conditions, measures
The following scores are from an independent- study comparing two treatment conditions, measures
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Analysis of Independent-Measures Study with Two Treatments**
The dataset provided consists of scores from an independent-measures study comparing two treatment conditions. The objective is to determine whether there is a significant mean difference between these two treatments.
**Tasks:**
**a. Independent-Measures t Test**
- Use a t test with a significance level (\(\alpha\)) of 0.05.
- Determine if there is a significant mean difference between Treatment I and Treatment II.
**b. ANOVA Test**
- Use an Analysis of Variance (ANOVA) with \(\alpha = 0.05\).
- Assess whether there is a significant mean difference between the two treatments.
- Note: The result should find that \(F = t^2\).
**Data Presentation:**
- **Treatment I Scores:**
10, 8, 7, 9, 13, 6, 12
- **Treatment II Scores:**
7, 4, 9, 3, 7, 6, 10, 2
**Summary Statistics:**
- Total number of scores (\(N\)): 16
- Grand total (\(G\)): 120
- Sum of squares (\(\Sigma X^2\)): 1036
This data and analysis framework will help evaluate the effects of the two treatments, allowing determination of any significant differences in their outcomes.
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