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# Conduting a Two Factor ANOVA

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ANOVA

An experiment is designed to measure the effect of detergent brand and washing cycle time on the
amount of dirt removed from standard household laundry loads. Four brands and four levels of washing
cycles are selected for the analysis. The results, in pounds of dirt removed are as follows

18 20 22 24
A 0.11 0.13 0.17 0.17
A 0.09 0.13 0.19 0.18
B 0.12 0.14 0.17 0.19
B 0.10 0.15 0.18 0.17
C 0.08 0.16 0.18 0.20
C 0.09 0.13 0.17 0.16
D 0.11 0.12 0.16 0.15
D 0.13 0.13 0.17 0.17

At the 0.05 level of significance,

a. is there effect due to detergent brand?

b. is there an effect due to washing cycle time?

c. is there an interaction between detergent and washing cycle time?

d. Plot the mean amount of dirt removed (in pounds) for each detergent brand for each washing cycle time.

The number of factors in this problem is __________________
The symbol used for the size of the replica is _________________
The SSE means______________________________________________
The degrees of freedom for MSAB is ___________________; this number is calculated as ________________
A large MSAB indicates a significant interaction between the factors. TRUE / FALSE.
The row used in F table for the A B and AB is the same because__________________________________________
To find Fu for AB interaction in F table column _____________is used; this column was calculated as___________________________