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Factorial Analysis of Variance

Student Name

University

Introduction

This paper is based on Factorial Analysis of Variance, also known as Factorial ANOVA. The use of Factorial ANOVA is to compare various means across independent variables. Unlike a one-way ANOVA, Factorial ANOVA has at least two independent variables. When two independent variables are used as in this case, they are split into four groups. The independent variables used in this case are Rs occupational prestige score (2010) and Rs occupational prestige score using threshold method (2010) with Father’s Occupation Prestige Score as the dependent variable.

Research Question

RQ: What is the relationship between Rs occupational prestige score (2010) and Rs occupational prestige score using threshold method (2010) when determining the occupational satisfaction of employees.

Hypotheses

Null Hypothesis (H0): There is no statistically significant relationship between Rs occupational prestige score (2010) and Rs occupational prestige score using threshold method (2010) when determining the occupational satisfaction of employees.

Alternative Hypothesis (HA): The is statistically significant relationship between Rs occupational prestige score (2010) and Rs occupational prestige score using threshold method (2010) when determining the occupational satisfaction of employees.

Variables

Dependent Variables (IV)

  • Father’s occupation prestige score - The score ranges between 1 and 100.

Independent Variables (DV)

  • Rs occupational prestige score (2010)

  • Rs occupational prestige score using threshold method (2010)

Results

As required, a factorial analysis of variance of contacted to establish the level of relationship between the independent variable and their effect on the dependent variable. The results of the SPSS output are depicted the table below:

Table 1: Tests of Between-Subjects Effects

Dependent Variable:Father's occupational prestige score (2010)

Source

Type III Sum of Squares

df

Mean Square

Sig.

Corrected Model

61398.077a

251

244.614

1.579

.000

Intercept

878098.562

878098.562

5.668E3

.000

prestg10

15540.886

56

277.516

1.791

.000

prestg105plus

16514.589

86

192.030

1.239

.073

prestg10 * prestg105plus

18836.807

107

176.045

1.136

.170

Error

203574.248

1314

154.927

Total

3380657.000

1566

Corrected Total

264972.325

1565

a. R Squared = .232 (Adjusted R Squared = .085)

Source: SPSS Output

The key aspects of the results considered include the p-value and significant level. From the results, the p-value for the variable Rs occupational prestige score (2010) is 0. In this regard, we conclude that the variable is significant (Statistics Solutions, 2017). The p-value for Rs occupational prestige score using threshold method (2010) is not significant because it is 0.73, which is greater than p = 0.05, which is less than the p-value. This means that prestige score does not change among individuals (Statistics Solutions, 2017). The p-value for the intersection is 0.17, which is also not significant. Because the intersection is not significant, we can conclude that the effect of Rs occupational prestige score (2010) on Rs occupational prestige score using the threshold method (2010) among Father’s occupation prestige scores is the same. As such, we accept the null hypothesis that There is no statistically significant relationship between Rs occupational prestige score (2010) and Rs occupational prestige score using threshold method (2010) when determining the occupational satisfaction of employees. The alternative hypothesis is rejected.

References

Statistics Solutions. (2017). Conduct and Interpret a Factorial ANOVA. Retrieved June 28, 2017, from Statisticssolutions.com: http://www.statisticssolutions.com/conduct-interpret-factorial-anova/

Appendix

Table 2: Between-Subjects Factors

Rs occupational prestige score (2010)

16

17

12

18

21

14

22

23

24

37

25

56

26

27

13

28

46

29

11

30

31

104

32

29

33

35

34

14

35

109

36

26

37

26

38

76

39

52

40

21

41

12

42

18

43

21

44

28

45

54

46

52

47

58

48

67

49

33

50

55

51

23

52

11

53

51

54

55

24

56

57

58

59

21

60

38

61

66

62

12

63

28

64

55

65

66

13

67

68

69

14

70

71

72

18

73

74

23

75

80

Rs occupational prestige score using threshold method (2010)

16

10

11

15

12

23

13

14

21

15

27

16

77

18

51

19

20

34

21

22

23

20

24

22

25

11

26

41

27

27

28

58

29

63

30

31

32

33

21

34

35

16

36

37

12

38

10

39

35

40

13

42

30

43

44

21

45

46

47

48

13

49

17

50

54

51

15

52

53

15

54

36

55

59

56

18

57

58

26

59

60

61

62

16

63

12

64

14

65

35

66

13

67

68

15

69

18

70

71

72

73

21

74

11

75

17

76

11

77

78

19

79

80

20

81

82

83

20

84

17

85

66

86

17

87

35

88

89

90

18

91

24

92

93

94

37

95

97

Table 3: Tests of Between-Subjects Effects

Dependent Variable:Father's occupational prestige score (2010)

Source

Type III Sum of Squares

df

Mean Square

Sig.

Corrected Model

61398.077a

251

244.614

1.579

.000

Intercept

878098.562

878098.562

5.668E3

.000

prestg10

15540.886

56

277.516

1.791

.000

prestg105plus

16514.589

86

192.030

1.239

.073

prestg10 * prestg105plus

18836.807

107

176.045

1.136

.170

Error

203574.248

1314

154.927

Total

3380657.000

1566

Corrected Total

264972.325

1565

a. R Squared = .232 (Adjusted R Squared = .085)