owing data are from a completely randomized design. Treatment A B C 162 142 125 142 156 123 166 124 139 144 141 140 148 137 151 174 152 126 Sample mean 156 142 134 Sample variance 172.8 129.2 123.2 (a) Compute the sum of squares between treatments. (b) Compute the mean square between treatments. (c) Compute the sum of squares due to error. (d) Compute the mean square due to error. (Round your answer to two decimal places.) (e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments
owing data are from a completely randomized design. Treatment A B C 162 142 125 142 156 123 166 124 139 144 141 140 148 137 151 174 152 126 Sample mean 156 142 134 Sample variance 172.8 129.2 123.2 (a) Compute the sum of squares between treatments. (b) Compute the mean square between treatments. (c) Compute the sum of squares due to error. (d) Compute the mean square due to error. (Round your answer to two decimal places.) (e) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments
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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The following data are from a completely randomized design.
| Treatment | |||
|---|---|---|---|
| A | B | C | |
| 162 | 142 | 125 | |
| 142 | 156 | 123 | |
| 166 | 124 | 139 | |
| 144 | 141 | 140 | |
| 148 | 137 | 151 | |
| 174 | 152 | 126 | |
| Sample mean |
156 | 142 | 134 |
| Sample variance |
172.8 | 129.2 | 123.2 |
(a)
Compute the sum of squares between treatments.
(b)
Compute the mean square between treatments.
(c)
Compute the sum of squares due to error.
(d)
Compute the mean square due to error. (Round your answer to two decimal places.)
(e)
Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
|---|---|---|---|---|---|
| Treatments | |||||
| Error | |||||
| Total |
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
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