Question

In: Statistics and Probability

A scientist conducts an experiment comparing 4 treatment conditions with a separate sample of n =...

A scientist conducts an experiment comparing 4 treatment conditions with a separate sample of n = 6 in each treatment condition. An ANOVA is used to evaluate the data, and the results of the ANOVA are presented in the following table. Complete all missing values in the table. Hint: It is usually helpful to start with the df column. (2 pts). Be sure to label all notations. (2 pts)

SS

df

MS

Between

F =

Within

2

Total

58

a. Using the F-distribution table, what is the corresponding critical F-value (α = .05)? Write up your F (dfs) (1 pt)

Please show all work, and make sure to answer part a as well.

Solutions

Expert Solution

Here k=4 and N=4*6=24

SS df MS F
Between 58-40 =18 k-1 = 3 18/3 = 6 6/2 = 3
Within 20*2 = 40 N-k = 20 2
Total 58 23

F (dfs) = (3,20)

Critical value = 3.10


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