In a one-way ANOVA, the following data were collected: SSTr=0.23, S S E=2.15 , N=33, I=6 .
Compute the value of the test statistic F .
A) 0.0796
B) 0.5777
C) 0.0460
D) 0.0085

Question

In a one-way ANOVA, the following data were collected:  SSTr=0.23, S S E=2.15 ,  N=33, I=6 .
Compute the value of the test statistic  F .
A)  0.0796 
B)  0.5777 
C)  0.0460 
D)  0.0085

Quizplus · Accepted Answer

The test statistic $F$ in a one-way ANOVA is calculated using the formula $F = \frac{MS_{Tr}}{MS_{E}}$, where $MS_{Tr} = \frac{SSTr}{I-1}$ and $MS_{E} = \frac{SSE}{N-I}$. Given $SSTr = 0.23$, $SSE = 2.15$, $N = 33$, and $I = 6$, we first calculate $MS_{Tr} = \frac{0.23}{6-1} = \frac{0.23}{5} = 0.046$ and $MS_{E} = \frac{2.15}{33-6} = \frac{2.15}{27} = 0.0796$. Then, $F = \frac{0.046}{0.0796} = 0.5777$.

In a One-Way ANOVA, the Following Data Were Collected