Part of an ANOVA table is shown below.
Source of Variation |
Sum of |
Degrees |
Mean |
F |
Between Treatments |
64 |
8 |
||
Within Treatments (Error) |
2 |
|||
Total |
100 |
The number of degrees of freedom corresponding to between-treatments is
a. |
3. |
|
b. |
4. |
|
c. |
2. |
|
d. |
18. |
Given
Mean square within = MSSW = 2
F = 8
SS Between =SSB = 64
We know that
F = MSSB/MSSW
8 = MSSB/2
MSSB = mean square between = 16
We also know that
MSSB = SSB / DF OF SSB
We already find the value of MSSB
16 = 64/DF
DF OF BETWEEN TREATMENT = 64/16
DF OF BETWEEN TREATMENT = 4
Hence option (b) is correct.
Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of...
Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 180 3 Within Treatments (Error) TOTAL 480 18 The mean square due to error (MSE) is a. 60. b. 15. c. 20. d. 18.
Exhibit 13-5 Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom F Mean Square 180 3 Between treatments Within treatments (Error) Total 480 18 Refer to Exhibit 13-5. The mean square between treatments (MSTR) is a. 300 b. 60 O c. 15 O d. 20
Exhibit 13-7 The following is part of an ANOVA table, which was the result of three treatments and a total of 18 observations (6 observations per sample). Source of Variation Sum of Mean F Degrees of Freedom Squares Square Between treatments 64 Within treatments (Error) 96 Total 1) Refer to Exhibit 13-7. The number of degrees of freedom corresponding to between treatments is 2) The number of degrees of freedom corresponding to within treatments is 3) The mean square between...
Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 64 8 Within Treatments 2 Error Total 100 If at 95% confidence we want to determine whether or not the means of the populations are equal, the p-value is greater than 0.1 between 0.05 to 0.1 between 0.025 to 0.05 less than 0.01
Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 180 3 Within Treatments (Error) TOTAL 480 18 If at 95% confidence, we want to determine whether or not the means of the populations are equal, the p-value is between 0.01 to 0.025 between 0.025 to 0.05 between 0.05 to 0.1 greater than 0.1
0.0.2702 QUESTION 17 Consider the following partial ANOVA table. Source of variation df Sum of squares Mean squares Treatments Error Total 6.67 75 60 19 135 25 3.75 The numerator and denominator degrees of freedom (identified by asterisks) are, respective 1. 4 and 15 2. 3 and 16 3. 15 and 4 4. 16 and 3 5. 4 and 8
e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal places. Round F to two decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments Error Total f. At the α-.05 level of significance, test whether the means for the three treatments are equal The p-value is less than.01 What is your conclusion? Select The following data are from a...
#11 At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that: a. all means are equal. b. some means may be equal. c. not all means are equal. d. some means will never be equal. #12 If we want to determine whether or not the means of the populations are equal, the p-value is a. greater than .1. b. between .05 to...
#11) At a 5% level of significance, if we want to determine whether or not the means of the populations are equal, the conclusion of the test is that a. all means are equal. b. some means may be equal. c. not all means are equal. d. some means will never be equal. #12 If we want to determine whether or not the means of the populations are equal, the p-value is a. greater than .1. b. between .05 to...
Use the following for questions 5,6,7,8, and 9. Part of an ANOVA table is shown below. Source of Sum of Degrees of Mean F p-value Variation Squares Freedom Square Treatments 180 3 Error 16 Total 480 19 The number of treatments (i.e. groups) in the experiment is a.4 b.3 c. 19 d. 16 The mean square between treatments (MSTR) is a. 18.75 b. 60 c. 300 d. 16 The mean square due to error (MSE) is a. 60 b. 16...