(Step-by-Step) Given the following Analysis of Variance Table for three treatments with six observations each: Source of Variation Sum of Squares df Mean
Question: Given the following Analysis of Variance Table for three treatments with six
observations each:
Source of
Variation Sum of Squares df Mean Square F value
Treatments 1116
Error 1068
Total 2184
Assume a .05 level of significance. (Show your work, and especially the formulae. You don't have to use Greek Letters, when words will suffice)
- Find the degrees of freedom (df) for the numerator, denominator and total. (3 points)
- What is the cutoff (critical) value of F at the 5% level of significance. (State at which point will you reject the null hypothesis?) (2 points)
- Determine the mean square for treatment and error.
- Compute the value of F. Do you Reject or Fail to Reject the Null Hypothesis?
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