Question

An experimenter has conducted a single-factor experiment with four levels of the factor, and each factor level has been replicated six times. The computed value of the F-statistic is F0= 3.26. Find the P-value.Indicate the sampling distribution of the F-statisticand the method or software utilized.

Answer 1

0.0430

Explanation:

here numerator degree of freedom =number of factors, K -1 =4-1=3

we have the formula denominator degree of freedom =k*(n-1) =4*(6-1) =20

therefore sampling distribution of statistics follow F distribution with degree of freedom (3,20)

Software used here is MS Excel

for above test statistic and (3,20) df, from excel ; p value = Fdist(3.26,3,20)=0.0430