Question

consider the following table:

	ss	df	ms	f
error	3044.86		?
total	6479.32	16

step 4 of 8: calculate the mean square of the experimental error. please round your answer to two decimal places.
answerhow to enter your answer (opens in new window) 1 point

Explanation:

Step1: Calculate degrees - of - freedom for among treatments

The formula for the F - statistic is $F=\frac{MS_{Among\ Treatments}}{MS_{Error}}$. Also, $MS=\frac{SS}{DF}$. We know that $DF_{Among\ Treatments} = 3$ and $F = 4.89$. First, we need to find $MS_{Among\ Treatments}$. But we don't need it for now. We first find $DF_{Error}$.

Step2: Calculate degrees - of - freedom for error

We know that $DF_{Total}=DF_{Among\ Treatments}+DF_{Error}$. Given $DF_{Total} = 16$ and $DF_{Among\ Treatments}=3$, then $DF_{Error}=DF_{Total}-DF_{Among\ Treatments}=16 - 3=13$.

Step3: Calculate mean square of error

The formula for the mean square of error ($MS_{Error}$) is $MS_{Error}=\frac{SS_{Error}}{DF_{Error}}$. Given $SS_{Error}=3044.86$ and $DF_{Error} = 13$, then $MS_{Error}=\frac{3044.86}{13}\approx234.22$.

Answer:

234.22