College of Doctoral Studies

DBA-830: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.

  1. Which of the following designs for a study meets the assumptions for the one-way analysis of variance (ANOVA)?

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

  2. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic), DV: Rank given to each drink for enjoyability

  3. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic), 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.

  4. IV: Beverage drunk before testing (Alcoholic, Non-Alcoholic, No drink), DV: Number of math problems solved correctly on test

Correctanswer(s): D

  1. The final F-value computed in a one-way ANOVA is affected by

  1. The differences among the group means

  2. The variability within each group

  3. The sample sizes

  4. 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

  1. The F-ratio is a comparison of the amount of Between-Group Variability to the amount of Within-Group Variability.

  1. True – The F-ration compares mean squares between group variance to the mean squares within groups (error variance).

  2. False

  3. Correct answer(s): True

  1. You have computed the following F-value, 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

  1. 19.37

  2. 8.65

  3. 95

  4. 4.46 – This is the value closest to the F-critical.

Correctanswer(s): D

  1. What is the value for the missing number in this part of a one-way ANOVA table for independent samples?

Source DF

Treatment 3

Error?

Total 47

  1. 19

  2. 41

  3. 44 – The total degrees of freedom (dfT) is given by the model degrees of freedom (df= k-1) plus the error degrees of freedom (df= n-k-1)

  4. .05

Correctanswer(s): C

  1. What is the F-value that would be computed from the following?

SourceMS F

Treatment159 ?

Error 37

  1. 4.30 – The F-statistic is the ration between mean squares of the model and mean squares of error. (159/37).

  2. 122.0

  3. 5809

  4. It can`t be computed from the information that is given

Correctanswer(s): A

  1. A post hoc comparison of means can be done whether or not you get a significant F-value.

  1. True

  2. False – Post hoc comparison of means are designed for situations where the researcher has obtained a significant F-value because it is needed to provide specific information on the means.

Correctanswer(s): False

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

  1. 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.

  2. FalseCorrect answer(s): True

  1. With a repeated measures one-way 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.

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

  2. False

Correctanswer(s): True

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

  1. True – In the calculation of one-way ANOVA with repeated samples, a variance partitioning occurs, which breaks within-groups variability into subject variability and error variability.

  2. False

Correctanswer(s): True

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

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

  2. More than one DV

  3. Only one IV but with an infinite number of conditions

  4. None of the above

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