40 The following data summerize the results from an independ

40) The following data summerize the results from an independent -measures study camparing three treatment conditions.

                                                                    Treatment

I                                     II                             III

4                                    3                             8             N=12

3                                    1                              4            G=48

5                                    3                              6           EX2=238

4                                    1                             6

m=4                            m=2                      M=6

T=16                           T=8                        T=24

SS=2                          SS=4                    SS=8

A) Calculate the sample variance for each of the three samples.

Variance for sample I=?

Variance for sample II=?

Variance for sample III=?

B) Complete the ANOVA table using two decimal places for sums of squares, mean squares, and F,

                                                 ANOVA Table

sources of variation         Sum of square          degree of freedom       mean of square          F            F critical

Between treatments       --------------                    ----------------              -----------------              --------         ------------

within treatments          ---------------                     ----------------              ------------------

Total                            ------------                         --------------                ----------------

please show the steps. Thank you so much for the help.

Solution

A>

variance for the Data I is Var. = SS/(n-1) = 2/(4-1) = 2/3

variance for the Data II is Var. = SS/(n-1) = 4/(4-1) = 4/3

variance for the Data III is Var. = SS/(n-1) = 8/(4-1) = 8/3

40) The following data summerize the results from an independent -measures study camparing three treatment conditions. Treatment I II III 4 3 8 N=12 3 1 4 G=48

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