Suppose you are conducting a oneway ANOVA with 5 groups Ther

Suppose you are conducting a one-way ANOVA with 5 groups. There are a total of 354 observations in the data set. If SSE = 193,539 and SST = 1,749, what is the F statistic for the ANOVA hypothesis, to two decimal places?

Solution

As there are 354 observations,

dftot = N -1 = 353

As there are 5 groups,

df1 = k - 1 = 5 - 1 = 4

Thus,

df2 = dftot - df1 = 353 - 4 = 349

Thus,

Thus,

MST = SST/df1 = 1749/4 = 437.25

MSE = SSE/df1 = 193539/349 = 554.5530086

Thus,

F = MST/MSE = 437.25/554.5530086 = 0.788472866

F = 0.79 [ANSWER]