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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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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
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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