A research project studied the physical properties of wood materials constructed by bonding together small flakes of wood.The two factors considered were the size of the flakes and species of tree.The sizes of the flakes were S1: 0.15 inches by 2 inches and S2: 0.25 inches by 2 inches,and the species of tree used were aspen,birch,and maple.For each combination of flake size and tree species,three samples of wood material were constructed.For each sample,the physical property measured was the tension modulus of elasticity in the direction perpendicular to the alignment of the flakes,in pounds per square inch (psi). The table below gives the means for the different size-species groups: For these data,a two-way ANOVA was run and the partial ANOVA table is given below. What is the value of the F statistic for testing interaction?
A)0.59
B)1.70
C)3.40
D)202.33

Question

A research project studied the physical properties of wood materials constructed by bonding together small flakes of wood.The two factors considered were the size of the flakes and species of tree.The sizes of the flakes were S1: 0.15 inches by 2 inches and S2: 0.25 inches by 2 inches,and the species of tree used were aspen,birch,and maple.For each combination of flake size and tree species,three samples of wood material were constructed.For each sample,the physical property measured was the tension modulus of elasticity in the direction perpendicular to the alignment of the flakes,in pounds per square inch (psi). The table below gives the means for the different size-species groups:  For these data,a two-way ANOVA was run and the partial ANOVA table is given below.  What is the value of the F statistic for testing interaction?
A)0.59 
B)1.70 
C)3.40 
D)202.33

Quizplus · Accepted Answer

The F statistic for testing interaction is found in the last row of the ANOVA table, under the heading "Interaction." The value is 1.70.

A Research Project Studied the Physical Properties of Wood Materials