applying 2 way ANOVA on above data:
Source of Variation | SS | df | MS | F |
treatments | 25.44 | 2 | 12.72 | 7.11 |
blocks | 37.11 | 5 | 7.42 | |
Error | 17.89 | 10 | 1.79 | |
Total | 80.44 | 17 |
test statistic =7.11
critical value =4.10
p value =0.0120
reject the null hypothesis: Yes
Conclusion: conclude that there is a signifcant difference between treatment means
System AlSystem B System C 18 15 16 17 17 14 16 14 Controller1 Controller 2...
Exercise 13.03 Question 1 of 14 Check My Work eBook 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 "0". O Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Treatments 300 7 O Error O O Total 460 a. What hypotheses are implied in this problem Ho: - Select your...
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). Round p-value to four decimal places. If your answer is zero enter "0". F p-value Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments 300 Error Total 460 a. What hypotheses are implied in this problem? Ho: Select H. Select b. At the - .05 level of significance,...
#16 The test statistic is a. 6.00. b. 2.25. c. 3.00. d. 2.67. #17 The mean square due to error (MSE) is a. 60. b. 18. c. 15. d. 20. Part of an ANOVA table is shown below. Sum of Degrees Squares Freedom Mean of Source of Variation Square 180 Between Treatments Within Treatments (Error) TOTAL 480 18
For either independent-measures or repeated-measures designs comparing two treatments, the mean difference can be evaluated with either at test or an ANOVA. The two tests are related by the equation F=12. The following data are from a repeated-measures study: Person Difference Scores 3 I 4 2 3 7 M = 4.00 T = 16 SS = 14 Treatment II 7 11 6 10 M 8.50 T-34 SS = 17 3 3 Mo 4.50 SS = 27.00 Use a repeated-measures t...
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...
Suppose the Total Sum of Squares (SST) for a completely randomzied design with ?=6k=6 treatments and ?=18n=18 total measurements is equal to 500500. In each of the following cases, conduct an ?F-test of the null hypothesis that the mean responses for the 66 treatments are the same. Use ?=0.025α=0.025. (a) The Treatment Sum of Squares (SSTR) is equal to 350350 while the Total Sum of Squares (SST) is equal to 500500. The test statistic is?=F= The critical value is ?=F=...
Suppose the Total Sum of Squares (SST) for a completely randomzied design with k=6 treatments and n=24 total measurements is equal to 400. In each of the following cases, conduct an FF-test of the null hypothesis that the mean responses for the 66 treatments are the same. Use α=0.01. (a) The Treatment Sum of Squares (SSTR) is equal to 200 while the Total Sum of Squares (SST) is equal to 400. The test statistic is F= The critical value is...
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary and p-value to 4 decimals). If your answer is zero enter "" Source of Variation Sum of Squares Degrees of Freedom Mean Square Treatments Blocks p-value 1,000 400 Error Total Use a05 to test for any significant differences The p-value is less than.01 What is your conclusion? 2,000 Conclude not all treatment means are equal
An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table (to 2 decimals, if necessary and p-value to 4 decimals). If your answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F D -value Treatments 900 Blocks 300 Error Total 1,600 Use a - .05 to test for any significant differences. The p-value is Select What is your conclusion? Select Check My Work (4 remaining)
Apply the techniques of two-way ANOVA to a data sample split into eight treatments with total degrees of freedom, df = 47, testing at the 2.5% level of significance. The Sum of Squares for Treatments is 42; the Mean Square for Blocks is 9, and the Mean Square for Error is 3. SS df MS F test Stats Treatments #1 #5 #9 #12 Blocks #2 #6 #10 #13 Error #3 #7 #11 XXXXXXX Total #4 #8 XXXXXXX XXXXXXX #14: What...