Let's say that a researcher conducts a study with 4 groups, each with 7 participants. Fill in the degrees of freedom in the following ANOVA
Let's say that a researcher conducts a study with 4 groups, each with 7 participants. Fill in the degrees of freedom in the following ANOVA
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![6. The distribution of the F-ratios
Let's say that a researcher conducts a study with 4 groups, each with 7 participants. Fill in the degrees of freedom in the following ANOVA table.
Source
Between
Within
Total
df
▼
27
MS
34.43
6.95
F
4.95
Use the following Distributions tool to find the boundary for the critical region at a = .05 and a = .01.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc533774-2db2-4c40-ad62-e47c502b55d9%2Fa0f05add-1735-4e7c-b95d-05f2f0597e1e%2Frbqpuei_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. The distribution of the F-ratios
Let's say that a researcher conducts a study with 4 groups, each with 7 participants. Fill in the degrees of freedom in the following ANOVA table.
Source
Between
Within
Total
df
▼
27
MS
34.43
6.95
F
4.95
Use the following Distributions tool to find the boundary for the critical region at a = .05 and a = .01.
![At the a = .05 level of significance, the boundary of the critical region for this ANOVA is:
4.938
O3.098
O4.718
3.009
At the a= .01 level of significance, the boundary of the critical region for this ANOVA is:
O4.718
O 3.009
03.098
4.938
Now use the tool to evaluate the F-ratio. (Hint: Select the icon with one orange line and one purple line. You can set the orange line at the critical
boundary and move the purple line to the F-ratio in the ANOVA table given.)
To use the tool to find the F-ratio, set both the numerator and the denominator degrees of freedom; this will show you the appropriate F distribution.
Move the orange line until the area in the tail is equivalent to the alpha level you are investigating.
At the a= 0.05 level of significance, your conclusion is:
O The null hypothesis cannot be rejected
O The null hypothesis can be rejected](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc533774-2db2-4c40-ad62-e47c502b55d9%2Fa0f05add-1735-4e7c-b95d-05f2f0597e1e%2Fk1ujixi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:At the a = .05 level of significance, the boundary of the critical region for this ANOVA is:
4.938
O3.098
O4.718
3.009
At the a= .01 level of significance, the boundary of the critical region for this ANOVA is:
O4.718
O 3.009
03.098
4.938
Now use the tool to evaluate the F-ratio. (Hint: Select the icon with one orange line and one purple line. You can set the orange line at the critical
boundary and move the purple line to the F-ratio in the ANOVA table given.)
To use the tool to find the F-ratio, set both the numerator and the denominator degrees of freedom; this will show you the appropriate F distribution.
Move the orange line until the area in the tail is equivalent to the alpha level you are investigating.
At the a= 0.05 level of significance, your conclusion is:
O The null hypothesis cannot be rejected
O The null hypothesis can be rejected
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