College of Doctoral Studies
DBA830:Module 6 Problem Set
Selectthe response that is correct from the list of choices. Highlight yourselection to indicate it as your answer. Add an explanation of whyyou made that choice.

Which of the following designs for a study meets the assumptions for the oneway analysis of variance (ANOVA)?

IV: Height in Inches, DV: Gender (Male, Female)

IV: Beverage drunk before testing (Alcoholic, NonAlcoholic), DV: Rank given to each drink for enjoyability

IV: Beverage drunk before testing (Alcoholic, NonAlcoholic), DV: Number of math problems solved correctly on test – There is more than two conditions of the independent variable, which is beverage drunk before testing.

IV: Beverage drunk before testing (Alcoholic, NonAlcoholic, No drink), DV: Number of math problems solved correctly on test
Correctanswer(s): D

The final Fvalue computed in a oneway ANOVA is affected by

The differences among the group means

The variability within each group

The sample sizes

All of the above – The critical F depends on degrees of freedom between groups which encompasses the error and variability in each group, and the error term (alpha). These are contained in all the above. Correct answer(s): D

The Fratio is a comparison of the amount of BetweenGroup Variability to the amount of WithinGroup Variability.

True – The Fration compares mean squares between group variance to the mean squares within groups (error variance).

False

Correct answer(s): True

You have computed the following Fvalue, F (2,8) = 4.50. What is the criterion value against which you would compare this value to see if it is statistically significant at the .05 level? (Hint: Go to Table B.4) – There is no Table B.4

19.37

8.65

95

4.46 – This is the value closest to the Fcritical.
Correctanswer(s): D

What is the value for the missing number in this part of a oneway ANOVA table for independent samples?
Source DF
Treatment 3
Error?
Total 47

19

41

44 – The total degrees of freedom (df_{T}) is given by the model degrees of freedom (df= k1) plus the error degrees of freedom (df= nk1)

.05
Correctanswer(s): C

What is the Fvalue that would be computed from the following?
SourceMS F
Treatment159 ?
Error 37

4.30 – The Fstatistic is the ration between mean squares of the model and mean squares of error. (159/37).

122.0

5809

It can`t be computed from the information that is given
Correctanswer(s): A

A post hoc comparison of means can be done whether or not you get a significant Fvalue.

True

False – Post hoc comparison of means are designed for situations where the researcher has obtained a significant Fvalue because it is needed to provide specific information on the means.
Correctanswer(s): False

The Tukey Honestly Significant Difference (HSD) test can be used for comparing means when you have independent groups.

True – For the purposes of accurately maintaining alpha values at their desired values, Turkey’s HSD test requires that the necessary statistical model assumptions (independence, homogeneity and normality) be met.

FalseCorrect answer(s): True

With a repeated measures oneway ANOVA, you can now compare and explain the scores in the different treatment conditions for a single person with his/her own behavior in the other treatment conditions.

True – This is because, repeated measures oneway ANOVA is used to compare dependent groups (Participants in each group are the same).

False
Correctanswer(s): True

The analysis table for the oneway ANOVA with repeated samples allows you to break withingroups variability into one part that can be explained by subject variability and one part that remains unexplained error.

True – In the calculation of oneway ANOVA with repeated samples, a variance partitioning occurs, which breaks withingroups variability into subject variability and error variability.

False
Correctanswer(s): True

The factorial analysis of variance (ANOVA) allows you to analyze data where you have

More than one IV – Factorial experiments take place in situations where the effects of more than one factor are analyzed together.

More than one DV

Only one IV but with an infinite number of conditions

None of the above
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