In a completely randomized design, ten subjects were assigned to each of three treatments of a factor. The partially completed ANOVA table is shown below. Complete parts a through d.
Source DF Sum of Squares Mean Square F-Ratio P-Value
Treatment (Between) 831.84
Error (Within)
Total 1103.41
No. of treatments , k = 3
Number of subjects for each treatment are n = 10
The Total number of subjects = N = nk = 10*3 = 30
ANOVA TABLE
Source of Variation | df | SS | MSS | F | p value |
Treatment (Between) | k-1= 3-1 = 2 | 831.84 | 831.84/2 =415.92 | 415.92/10.06 =41.35 | 0.000 |
Error (Within) | N-k = 30-3=27 | 1103.41-831.84=271.57 | 271.57/27 =10.06 | ||
Total | N-1= 30-1 = 29 | 1103.41 |
In a completely randomized design, ten subjects were assigned to each of three treatments of a...
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,300 --?-- --?-- ----?----- ---?------ ----?---- Error --?-- --?-- --?-- ----?----- ---?------ ----?---- Total 2,000 ...
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Treatments 1,100 Error Total 1,900 At a .05 level of significance, is there a significant difference between the treatments?...
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In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "o". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p -value Treatments 1,200 C 20 600 Error Total 1,900 At a .05 level of significance, is there a significant difference between the treatments? The...
In a completely randomized design, seven experimental units were used for each of the five levels of the factor. Complete the following ANOVA table (to 2 decimals, if necessary). If your answer is zero enter "o". Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Treatments 300 Error 460 Total a. What hypotheses are implied in this problem Ho: All five treatment means are equal v Ha: Not all five treatment means are equal v b. At...
6. In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. [25 points) Sum of Squares Degrees of Freedom Mean Squares Source of Variation Among Treatments 1,500 Within Treatments (Error) Total 6,000 a. Fill in the blanks in the above ANOVA table. b. At a 1% level of significance, test to determine whether or not the means of the 3 populations are equal. Use the...
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The following data are from a completely randomized design. Treatment 164 149 142 157 167 124 145 149 149 137 169 136 156 142 144 141.6 119.6 126 122 133 141 152 130 134 Sample mean Sample variance a. Compute the sum of squares between treatments. Round the intermediate calculations to whole number 1488 b. Compute the mean squ are between treatments. 744 c. Compute the sum of squares due to error. 135.33 d. Compute the mean square due to...
omework Check My Work oIn a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). Round p-value to four decimal places. If your answer is zero enter " Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,000 Error 1,500 OTotal 1,500 At a.05 tevel of significance, is there a...