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26. The following data were obtained from an independent- measures study comparing three treatment conditions. Treatment I n=6 M = 1 SS = 60 || n=6 M = 2 SS = 65 ||| n = 6 M = 6 SS = 40 N = 18 G = 54 EX² = 411 a. Calculate the sample variance for each of the three samples. b. Use an ANOVA with a = .05 to determine whether there are any significant differences among the three treatment means. (Note: In the ANOVA you should find that MSwithin is equal to the average of the three sample variances.)

26. The following data were obtained from an independent- measures study comparing three treatment conditions. Treatment I n=6 M = 1 SS = 60 || n=6 M = 2 SS = 65 ||| n = 6 M = 6 SS = 40 N = 18 G = 54 EX² = 411 a. Calculate the sample variance for each of the three samples. b. Use an ANOVA with a = .05 to determine whether there are any significant differences among the three treatment means. (Note: In the ANOVA you should find that MSwithin is equal to the average of the three sample variances.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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#26 part b only- show full work psyc stats
### Analysis of Treatment Conditions The following data were obtained from an independent-measures study comparing three treatment conditions. The treatments are labeled I, II, and III, with the following details: #### Treatment Data - **Treatment I**: - \( n = 6 \) - \( M = 1 \) - \( SS = 60 \) - **Treatment II**: - \( n = 6 \) - \( M = 2 \) - \( SS = 65 \) - **Treatment III**: - \( n = 6 \) - \( M = 6 \) - \( SS = 40 \) - **Overall Data**: - \( N = 18 \) - \( G = 54 \) - \( \Sigma X^2 = 411 \) #### Tasks a. **Calculate the Sample Variance**: Determine the sample variance for each of the three samples. b. **ANOVA Test**: Use an ANOVA with \(\alpha = 0.05\) to check for significant differences among the three treatment means. Note that in the ANOVA, you should find that \( MS_{\text{within}} \) is equal to the average of the three sample variances. These calculations will help in understanding whether there are significant differences between the treatment conditions based on the given dataset.
Transcribed Image Text:### Analysis of Treatment Conditions The following data were obtained from an independent-measures study comparing three treatment conditions. The treatments are labeled I, II, and III, with the following details: #### Treatment Data - **Treatment I**: - \( n = 6 \) - \( M = 1 \) - \( SS = 60 \) - **Treatment II**: - \( n = 6 \) - \( M = 2 \) - \( SS = 65 \) - **Treatment III**: - \( n = 6 \) - \( M = 6 \) - \( SS = 40 \) - **Overall Data**: - \( N = 18 \) - \( G = 54 \) - \( \Sigma X^2 = 411 \) #### Tasks a. **Calculate the Sample Variance**: Determine the sample variance for each of the three samples. b. **ANOVA Test**: Use an ANOVA with \(\alpha = 0.05\) to check for significant differences among the three treatment means. Note that in the ANOVA, you should find that \( MS_{\text{within}} \) is equal to the average of the three sample variances. These calculations will help in understanding whether there are significant differences between the treatment conditions based on the given dataset.
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