Complete the ANOVA tableSourceDFSSMSBetween Groups35.pdf
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The document outlines an ANOVA analysis including the calculation of degrees of freedom, sum of squares, and the F-statistic. It identifies that there are 4 groups in the study and a total of 16 observations. The null hypothesis states that all group means are equal, and the test reveals no significant evidence to reject this hypothesis based on the F-test result.
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![Complete the ANOVA table
Source
DF
SS
MS
Between Groups
3
5
Within groups
12
337
total
472
How many groups were in the study
How many total observations were there
State the H0 and H1 and test at 5% level of significant
Source
DF
SS
MS
Between Groups
3
5
Within groups
12
337
total
472
Solution
How many groups were in the study
k = df1 + 1 = 3 + 1 = 4 [ANSWER]
*************
how many total observations were there](https://image.slidesharecdn.com/completetheanovatablesourcedfssmsbetweengroups35-230702085900-2ba43cdb/85/Complete-the-ANOVA-tableSourceDFSSMSBetween-Groups35-pdf-1-320.jpg)
![N = df1 + df2 + 1 = 3 + 12 + 1 = 16 [ANSWER]
********************
State the H0 and H1 and test at 5% level of significant
Ho: All the means in the 4 groups are equal.
Ha: At least 2 means in the 4 groups are different.
Here,
F = (SSB/df1) / (SSW/df2) = ((472-337)/3)/(337/12) = 1.602373887
As at 5%, df1 = 3, df2= 12,
Fcrit = 3.490294819
As F > Fcrit, we fail to reject Ho.
Thus, there is no significant evidence that at least 2 means are not equal. [CONCLUSION]](https://image.slidesharecdn.com/completetheanovatablesourcedfssmsbetweengroups35-230702085900-2ba43cdb/85/Complete-the-ANOVA-tableSourceDFSSMSBetween-Groups35-pdf-2-320.jpg)
Complete the ANOVA tableSourceDFSSMSBetween Groups35.pdf
- 1. Complete the ANOVA table Source DF SS MS Between Groups 3 5 Within groups 12 337 total 472 How many groups were in the study How many total observations were there State the H0 and H1 and test at 5% level of significant Source DF SS MS Between Groups 3 5 Within groups 12 337 total 472 Solution How many groups were in the study k = df1 + 1 = 3 + 1 = 4 [ANSWER] ************* how many total observations were there
- 2. N = df1 + df2 + 1 = 3 + 12 + 1 = 16 [ANSWER] ******************** State the H0 and H1 and test at 5% level of significant Ho: All the means in the 4 groups are equal. Ha: At least 2 means in the 4 groups are different. Here, F = (SSB/df1) / (SSW/df2) = ((472-337)/3)/(337/12) = 1.602373887 As at 5%, df1 = 3, df2= 12, Fcrit = 3.490294819 As F > Fcrit, we fail to reject Ho. Thus, there is no significant evidence that at least 2 means are not equal. [CONCLUSION]