Question

1)With​ two-way ANOVA, the total sum of squares is portioned in the sum of squares for​ _______.

2) A​ _______ represents the number of data values assigned to each cell in a​ two-way ANOVA table. a)cell b) Block c)replication D)level

3.) True or false: In a​ two-way ANOVA​ procedure, the results of the hypothesis test for Factor A and Factor B are only reliable when the hypothesis test for the interaction of Factors A and B is statistically insignificant.

4.)Randomized block ANOVA partitions the total sum of squares into the sum of squares​ _______. A)between, within B)Between, within, block C)Between, Block, error D)Between,within, error

Answer 1

1)With​ two-way ANOVA, the total sum of squares is portioned in the sum of squares for​

Factor A, Factor B, interaction, error

Note:SS(total)=SS(A)+SS(B)+SS(AB)+SSE,

where AB represents the interaction between A and B.

2) A​ _______ represents the number of data values assigned to each cell in a​ two-way ANOVA table.

a)cell

b) Block

Answer: c)replication

D)level

3.) True or false: In a​ two-way ANOVA​ procedure, the results of the hypothesis test for Factor A and Factor B are only reliable when the hypothesis test for the interaction of Factors A and B is statistically insignificant.

Answer: True

Note: In a two-way ANOVA, the interpretations of the main effects make sense only when the interaction component is not significant.

4.)Randomized block ANOVA partitions the total sum of squares into the sum of squares​ _______.

A)between, within

B)Between, within, block

Answer: C)Between, Block, error

D)Between,within, error

Note: The ANOVA procedure for the randomized block design requires us to partition the sum of squares total (SST) into three groups: sum of squares due to treatments, sum of squares due to blocks, and sum of squares due to error.