Georgia State University ANOVA and Tukey HSD Test Questions

u08a1 – ANOVA and the Tukey HSD Test

Complete the following problems within theWord document (do not submit other files). Show your work for problem sets that require calculations. Ensure your answer to each problem is clearly visible.(You may want to highlight your answer or use a different typeof color to set it apart.)

Submit the document to your instructor by Sunday, 11:59 p.m. central time.

FILLER TEXTProblem Set 8.1:FILLER TEXTANOVA Logic:FILLER TEXTSum of Squares

• Criterion:Calculate the sum of squares.

• Data:FILLER TEXTThe within-group (error) sum of squares is 108.45 and the between-group sum of squares is 48.68.

• Instruction:Calculate the sum of squares total.

FILLER TEXTProblem Set 8.2:FILLER TEXTANOVA Logic: From Mean Squares to FILLER TEXT

• Criterion:Calculate F frommean squares values.

• Data:FILLER TEXTFILLER TEXTBG= 80 and FILLER TEXTE= 20.

• Instruction:Answer this: What is FILLER TEXT?

FILLER TEXTProblem Set 8.3:FILLER TEXTANOVA Summary Table

• Criterion:Analyze the results of an ANOVA summary table and report findings.

• Data:FILLER TEXTANOVA summary table:

FILLER TEXTFILLER TEXTFILLER TEXTFILLER TEXT

FILLER TEXT

FILLER TEXT

Between Groups

283.32

4

70.83

8.16

Within groups (error)

390.60

45

8.68

Total

673.92

49

• Instruction:Answer questions a–d using the ANOVA summary table.

a.How many groups participated?

b.How many participants were in each group (assuming equal number of participants per group)?

c.Refer to the FILLER TEXT table. What is the critical value ofFILLER TEXT(4,45) at the .01 level?  

d.Given a significant result at the .01 level, how confident are you (0% to 100%) that rejecting the null hypothesis is not due to chance?  Additionally, what is the probability that you made a Type 1 error?FILLER TEXT

FILLER TEXTFILLER TEXTFILLER TEXT

FILLER TEXTProblem Set 8.4:FILLER TEXTFILLER TEXTOne-Way ANOVA in SPSS

• Criterion:Calculate an ANOVA in SPSS.

• Data:FILLER TEXTTyrone is testing out dye strength after washing dyed fabric for his new fabric line. He dyes his fabrics blue, green, and yellow and washes the fabric onetime. The following are the dye strength results for 10 pieces of fabric in each color after onewash:

Blue

Green

Yellow

+98

55

66

96

53

71

92

57

73

92

60

71

88

52

76

86

54

72

89

62

74

92

53

69

94

54

68

90

65

70

• Instruction:Complete the following steps:

a. Open SPSS and open a New DataSet.

b. Click the Variable View tab at the bottom and enter Color and enterDyeStrength as the variables. Click the Values box for the Color row and define 1 as blue, 2 as green, and 3 as yellow.

c. Enter the data. For example, type 1 in row 1 under Color and type 98 in row 1 under DyeStrength. Continue typing in all the data.  Please remember to change to 2 in column 1 when the color is green and change to 3 in column 1 when the color is yellow.

d. In the Toolbar, click Analyze, select Compare Means, and then select One-Way ANOVA.

e. Select DyeStrength and then click Arrow to send it over to the Dependent List box.

f. Select Color and then click Arrow to send it over to the Factor box.

g. Click OK and copy and paste the output below.

FILLER TEXTProblem Set 8.5:FILLER TEXTOne-Way ANOVAFILLER TEXTResults in APA Style

• Criterion:Report ANOVA results in APA format.

• Data: Use the DyeStrength data from ProblemSet 8.4.

• Instruction:Complete the following:

a.State the null hypothesis.

b.Report your results in APA format (as you might see them reported in a journal article).

FILLER TEXT

Problem Set 8.6:FILLER TEXTFILLER TEXTTukey HSD Test in SPSS

• Criterion:Calculate post hoc analyses in SPSS.

• Data:FILLER TEXTUseSPSS data from ProblemSet 8.4.

• Instruction:Complete the following steps:

a. In the Toolbar, clickAnalyze, select Compare Means, and then select One-Way ANOVA.

b. SelectDyeStrength, then click Arrow to send it over to the Dependent List box.

c. SelectColor, then click Arrow to send it over to the Factorbox.

d. ClickPost Hoc and then check the box Tukey. Click Continue.

e. Click OK and copy and paste the output to the Word document.

FILLER TEXTProblem Set 8.7:FILLER TEXTFILLER TEXTTukey HSD Interpretation

• Criterion:Interpret Tukey HSD results from SPSS output.

• Data: Use your output from ProblemSet 8.6. 

• Instruction:Identify where significant differences exist at the .05 level between your colors.

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