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An IERI – International Educational Research Institute Journal

Table 5 Percentages of attribute mastery using expert-designed and refined Q-matrices

From: Using country-specific Q-matrices for cognitive diagnostic assessments with international large-scale data

Attribute

Q-matrix

Student Mastery (%)

Finland

USA

Singapore

Australia

Tunisia

Whole numbers and integers

Original

38.46

53.34

56.57

46.46

31.49

Stepwise

32.54*

51.40

75.50*

46.04

35.48*

Chiu

43.55*

49.30

65.36*

52.50*

28.13*

Fractions, decimals and proportions

Original

45.64

55.90

68.78

49.01

49.53

Stepwise

27.45*

36.83*

68.43

49.95

50.23

Chiu

67.88*

70.69*

70.58

45.35

64.00*

Patterns

Original

31.46

26.23

41.22

45.28

45.72

Stepwise

32.17

26.99

47.02*

30.66*

13.84*

Chiu

36.55*

22.32*

55.03*

84.91*

35.17*

Expressions, equations and functions

Original

52.86

52.50

61.97

37.29

42.00

Stepwise

56.90

51.40

47.93*

33.28*

39.40

Chiu

44.39*

59.10*

58.98

40.21

42.46

Lines, angles and shapes

Original

40.88

23.34

40.34

39.65

30.45

Stepwise

30.50*

14.35*

44.51*

39.60

34.65*

Chiu

33.08*

34.29*

46.82*

33.30*

36.91*

Measurement

Original

43.93

42.44

59.20

42.52

25.95

Stepwise

42.34

33.69*

50.64*

37.00*

26.88

Chiu

39.67

29.23*

63.08

26.04*

32.54*

Location and movement

Original

53.98

41.72

53.99

43.80

47.90

Stepwise

57.53

41.78

47.61*

45.52

43.77

Chiu

72.01*

59.59*

60.05*

53.77*

34.24*

Data organisation, representation and interpretation

Original

75.84

51.41

53.63

35.50

18.35

Stepwise

75.59

57.52*

52.00

36.37

23.10*

Chiu

59.87*

44.71*

69.99*

26.11*

35.48*

Probability

Original

58.53

35.67

63.34

58.47

48.28

Stepwise

58.41

36.59

63.54

49.01*

45.61

Chiu

56.74

46.96*

47.67*

60.90

33.71*

  1. * difference in student attribute mastery between the original and the refined Q-matrix greater than 10%