or this question, compute the between groups Mean Square (MSbetween)

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Consider the following data coming from a study of three different groups. For this question, assume that all assumptions for a one-way ANOVA are met (e.g., all observations are independent).

                                Group 1                                Group 2                                Group 3

                                1                                              5                                              6

                                3                                              3                                              4

                                3                                              4                                              6

                                1                                              4                                              8

 

                                M = 2                                     M = 4                                     M = 6

 

For this question, compute the between groups Mean Square (MSbetween)

   

46

   

16

   

22

   

14

Expert Solution
Step 1

The individual mean of the three group is given:

 

The overall mean of the data is given as:

Statistics homework question answer, step 1, image 1

 

Step 2

The sum of square of between can be calculated as:

Statistics homework question answer, step 2, image 1

The degree of freedom of between will be:

dfbetween=k-1            =3-1           =2

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