Question 1)
Let's conduct the ANOVA analysis for Charlie's study.
Charlie is testing the mean cuteness scores of a sample of dogsby groups. The groups are pugs, other small dogs, medium dogs, andlarge dogs (4 groups). There are 5 ratings (cuteness scores) perbreed.
The cuteness scores are:
Pugs (5 observations): 8, 9, 9, 7, 8
Other Small dogs (5 observations): 5, 4, 6, 4, 2
Medium (5 observations): 5, 6, 4, 6, 5
Large (5 observations): 6, 5, 9, 3, 4
In the next few items you will be asked to make calculations toconduct the ANOVA analysis with this data.
Part A)
The first step of conducting our analysis will be to calculatethe Overall mean and the Group means. Fill in the blanks below:
Round your responses to 1 decimal place.
| OVERALL MEAN | |
| GROUP MEANS: | |
| Pugs | |
| Other small dogs | |
| Medium | |
| Large | |
Using Charlie's data, and the means you calculated in theprevious question, fill out the ANOVA table with the appropriatedegrees of freedom, sum of squares, mean squares, and F-ratio.
You can use excel or R as a calculator, but you MUSTcalculate them by hand/manually. If you do not provide yourwork/code for the manual calculations in the previous \"question\"you will not get full credit.
Degrees of freedom should be provided as integers.
Other values should be rounded to one decimal place.
Now, calculate the r-squared for the ANOVA analysis you justconducted above.
Express your answer as a proportion. Round your answer to TWOdecimal places.
