Comprehensive Questions with
Verified Answers Graded A+
What are the sources of variance for ANOVA? What are the sources of between-group variance?
What are the sources of within-group variance? - Answer: Between: measures differences due
to systematic treatment effects and random, unsystematic factors
Within: measures differences due to unsystematic factors
State the null hypothesis for a single-factor (one-way) ANOVA. - Answer: Ho: μ1=μ2=μ3
State the alternative hypothesis for a single-factor (one-way) ANOVA. - Answer: H1: At least one
mean is different from the others
If the null hypothesis is true, what is the expected value of F? - Answer: Much greater than 1.00
What values are possible for an F ratio? - Answer: -1.00 to +1.00
What does the omnibus test measure? - Answer: indicates that at least one of the means is
different from the others
When is it appropriate to compute post-hoc tests (multiple comparisons)? - Answer: If we reject
the null hypothesis and you are comparing more than two groups
, How do we decide whether to reject the null hypothesis for a single-factor (one-way) ANOVA? -
Answer: The null hypothesis is rejected when it is concluded that there are significant mean
differences
How do we obtain the critical value for an F ratio? - Answer: Calculate the df and then look in
the book for the value
What are the characteristics of a factorial design? - Answer: -more than one independent
variable
-two or more levels
Define factor. - Answer: -the variable that designates the groups being compared
-An independent variable
Define level. - Answer: -the individual conditions or values that make up a factor
-Number of groups within a factor or the different conditions within each independent variable.
Define cell. - Answer: Represents each treatment condition in the matrix.
What is the simplest possible factorial design? What is the factorial notation for this design? -
Answer: 2x2 or AxB
two factors (independent variables) and two levels of each factor (two conditions for each
independent variable)
What does MS represent? (State the term and define it) - Answer: Means Squared
the mean of squared deviations