Question

# 1. if a statistically significant difference was found between two means using an independent-samples t test,...

1. if a statistically significant difference was found between two means using an independent-samples t test, which of the following interpretations would be correct.

A) something over and above sampling error is responsible for the difference between sample means

B) the difference between two means is meaningful.

C)it is unlikely that something other than error is responsible for the difference between the sample means.

D) the difference between the two means is due to a large effect size

2. in ANOVA, the variability between group is due to

A) only chance

B) both chance and treatment effects

C) only treatment effects.

D) neither chance nor treatment effects.

Ans:

1)Correct option is:

something over and above sampling error is responsible for the difference between sample means

2)Correct option is:

both chance and treatment effects

Between group variation is important in ANOVA because it is compared to within group variation to determine treatment effect.

F-ratio =(between group variation)/(within group variation).

This is equivalent to (treatment effect + error)/(error). If the treatment effect goes to zero, the F ratio will be (error)/(error) and go to 1.