Week 5—Assignment: Analyze One-Way and Two-Way ANOVA Tests (10 Points) Download

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Week 5—Assignment: Analyze One-Way and Two-Way ANOVA Tests (10 Points) Download the EDR-8201 Week 5 Worksheet found in this week’s resources and use it to complete this assignment. Imagine a researcher is interested in examining the psychological impact of principals’ perceived conflict-management style on teachers’ productivity. In this case, the researcher is interested in the relationships among teachers’ self-esteem, how teachers perceive their principals’ conflict-management style, and teachers’ productivity. Instead of conducting a power analysis before beginning the study, the researcher decided to use a convenience sample of 40 teachers. These teachers completed a survey including a number of demographic questions as well as measures to assess perceived principals’ conflict-management style, teachers’ self-esteem, and productivity. Below are demographic data and participants’ responses on teachers’ perceptions of their principals’ conflict management style (cooperative vs. competitive) and the teacher productivity measure (50-point scale). Use these data to answer the questions below (these data have already been entered into the “teachersurvey.sav” SPSS file). NOTE: Not all of the variables in the “teachersurvey.sav” file will be used for this assignment. Gender (M = male, F = female) What topic do you teach (M = math, S = science, A = art, FL = foreign language) “Topic?” Self-Esteem Scores 2 (ScoreTwo) Productivity Scores (ProdOne) M M 95 25 M M 87 28 F A 78 36 M S 86 38 F S 74 34 F A 96 36 F FL 84 40 F A 89 41 M S 77 22 M S 76 38 F S 87 39 F M 99 34 F M 84 38 F S 76 37 M S 72 45 M FL 83 46 F A 79 30 M M 76 34 F S 79 33 M S 85 36 M A 96 38 M S 90 42 F S 92 46 F M 79 49 M FL 85 37 F FL 81 38 M S 83 32 M M 75 35 F A 93 36 M A 84 45 F S 92 49 F A 83 48 F FL 75 36 M M 88 33 F M 87 34 F S 84 36 M A 94 38 M FL 87 48 F M 79 48 F FL 94 49 In this SPSS assignment, you will expand your understanding of inferential statistics involving an ANOVA. Complete the following: 1. Using SPSS, conduct a one-way ANOVA to test for differences in productive scores (ProdOne) in relationship to subject taught (topic). a. Which variable is the dependent variable and which is the factor? b. After conducting the ANOVA using SPSS, be sure to present the findings in the SPSS table format. c. What is the effect size? (Hint: Partial Eta Squared can be used; to obtain Partial Eta Squared, use the General Linear Model approach to the analysis). d. Report the results in a narrative using APA format. e. What can be concluded from these results? Be sure to consider possible study limitations and provide recommendations for future research. 2. Conduct a two-way ANOVA to test if there is a significant difference in self-esteem (using the EsteemTwo variable in the “teachersurvey.sav” data set) across gender and across topic areas. Secondly, is there an interaction effect between these factors? a. Report the three hypotheses sets (null and alternative) associated with this research problem. b. Conduct and present the analysis using SPSS. c. Report the results in APA format. d. What can be concluded from these results? Be sure to consider possible study limitations and provide recommendations for future research. 3. Based on your personal experiences and interests, briefly discuss three factors and one dependent variable to be used in a three-way ANOVA.

Explanation / Answer

Problem 1 answered

Week 5—Assignment: Analyze One-Way and Two-Way ANOVA Tests (10 Points) Download the EDR-8201 Week 5 Worksheet found in this week’s resources and use it to complete this assignment. Imagine a researcher is interested in examining the psychological impact of principals’ perceived conflict-management style on teachers’ productivity. In this case, the researcher is interested in the relationships among teachers’ self-esteem, how teachers perceive their principals’ conflict-management style, and teachers’ productivity. Instead of conducting a power analysis before beginning the study, the researcher decided to use a convenience sample of 40 teachers. These teachers completed a survey including a number of demographic questions as well as measures to assess perceived principals’ conflict-management style, teachers’ self-esteem, and productivity. Below are demographic data and participants’ responses on teachers’ perceptions of their principals’ conflict management style (cooperative vs. competitive) and the teacher productivity measure (50-point scale). Use these data to answer the questions below (these data have already been entered into the “teachersurvey.sav” SPSS file). NOTE: Not all of the variables in the “teachersurvey.sav” file will be used for this assignment. Gender (M = male, F = female) What topic do you teach (M = math, S = science, A = art, FL = foreign language) “Topic?” Self-Esteem Scores 2 (ScoreTwo) Productivity Scores (ProdOne) M M 95 25 M M 87 28 F A 78 36 M S 86 38 F S 74 34 F A 96 36 F FL 84 40 F A 89 41 M S 77 22 M S 76 38 F S 87 39 F M 99 34 F M 84 38 F S 76 37 M S 72 45 M FL 83 46 F A 79 30 M M 76 34 F S 79 33 M S 85 36 M A 96 38 M S 90 42 F S 92 46 F M 79 49 M FL 85 37 F FL 81 38 M S 83 32 M M 75 35 F A 93 36 M A 84 45 F S 92 49 F A 83 48 F FL 75 36 M M 88 33 F M 87 34 F S 84 36 M A 94 38 M FL 87 48 F M 79 48 F FL 94 49 In this SPSS assignment, you will expand your understanding of inferential statistics involving an ANOVA. Complete the followinge:

a. Which variable is the dependent variable and which is the factor?

dependent variable is Prodone and factor is Topic

b. After conducting the ANOVA using SPSS, be sure to present the findings in the SPSS table format.

Descriptive Statistics

Dependent Variable:   Prodone

Topic

Mean

Std. Deviation

N

A

38.67

5.362

9

FL

42.00

5.508

7

M

35.80

7.627

10

S

37.64

6.744

14

Total

38.18

6.586

40

Tests of Between-Subjects Effects

Dependent Variable:   Prodone

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Corrected Model

164.961a

3

54.987

1.297

.291

.098

Intercept

55829.625

1

55829.625

1316.379

.000

.973

topic

164.961

3

54.987

1.297

.291

.098

Error

1526.814

36

42.412

Total

59985.000

40

Corrected Total

1691.775

39

a. R Squared = .098 (Adjusted R Squared = .022)

c. What is the effect size? (Hint: Partial Eta Squared can be used; to obtain Partial Eta Squared, use the General Linear Model approach to the analysis).

Partial Eta Squared = 0.098

d. Report the results in a narrative using APA format.

The 9 participants in the art group had an average Productivity Scores of 38.7 (SD = 5.4); the 7 participants in the foreign language group had an average Productivity Scores of 42.0 (SD = 5.5), , the 10 participants in the Maths group had a mean of 35.8 (SD = 7.69) and the 14 participants in the science group had a mean of 37.6 (SD = 6.7) . The effect was not significant, F(3,36) =1.30, p=.291, effect size (2 =.10) suggested low practical significance.

e. What can be concluded from these results? Be sure to consider possible study limitations and provide recommendations for future research.

We conclude that there is no significant differences in productive scores (ProdOne) in relationship to subject taught (topic). We have to study more subjects in different setting in future to get significant result.

Descriptive Statistics

Dependent Variable:   Prodone

Topic

Mean

Std. Deviation

N

A

38.67

5.362

9

FL

42.00

5.508

7

M

35.80

7.627

10

S

37.64

6.744

14

Total

38.18

6.586

40

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