An IERI – International Educational Research Institute Journal
Table 9 Mastery/non-mastery agreement rates (%) between each pair of Q-matrices based on five-countries and country-specific data
Whole numbers and integers | Fractions, decimals and proportions | Patterns | Expressions, equations and functions | Lines, angles and shapes | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
Mastery | Non-mastery | Mastery | Non-mastery | Mastery | Non-mastery | Mastery | Non-mastery | Mastery | Non-mastery | |
Original vs. Stepwise(cs) | 92.46 | 89.03 | 67.41 | 79.37 | 68.83 | 92.96 | 83.41 | 90.89 | 82.28 | 95.48 |
Original vs. Chiu(cs) | 86.31 | 84.70 | 81.87 | 58.27 | 75.75 | 71.41 | 80.17 | 78.49 | 49.89 | 70.34 |
Stepwise(cs) vs. Chiu(cs) | 82.50 | 84.18 | 87.05 | 56.60 | 78.36 | 67.81 | 78.96 | 73.74 | 51.20 | 70.07 |
Original vs. Stepwise(fc) | 87.85 | 80.11 | 81.83 | 60.69 | 59.54 | 88.02 | 75.56 | 82.65 | 56.73 | 65.32 |
Original vs. Chiu(fc) | 87.28 | 86.37 | 64.27 | 49.52 | 54.34 | 48.68 | 82.65 | 87.49 | 44.61 | 72.21 |
Stepwise(cs) vs. Stepwise(fc) | 83.28 | 85.00 | 71.21 | 65.09 | 59.76 | 53.79 | 74.21 | 80.73 | 55.75 | 79.41 |
Chiu(cs) vs. Chiu(fc) | 85.18 | 80.57 | 75.12 | 48.55 | 81.59 | 92.62 | 72.23 | 76.15 | 58.94 | 65.37 |
Measurement | Location and movement | Data organisation, representation and interpretation | Probability | Average of Nine Attributes | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
Mastery | Non-mastery | Mastery | Non-mastery | Mastery | Non-mastery | Mastery | Non-mastery | Mastery | Non-mastery | |
Original vs. Stepwise(cs) | 63.58 | 82.37 | 92.32 | 94.80 | 95.84 | 91.63 | 76.60 | 80.80 | 80.30 | 88.59 |
Original vs. Chiu(cs) | 68.62 | 88.50 | 78.28 | 63.60 | 78.67 | 83.54 | 62.84 | 64.11 | 73.60 | 73.66 |
Stepwise(cs) vs. Chiu(cs) | 57.69 | 76.94 | 78.03 | 62.75 | 75.02 | 83.21 | 69.52 | 69.13 | 73.15 | 71.60 |
Original vs. Stepwise(fc) | 74.64 | 67.72 | 76.57 | 79.76 | 87.71 | 76.63 | 68.41 | 47.66 | 74.32 | 72.06 |
Original vs. Chiu(fc) | 74.99 | 89.90 | 82.76 | 85.54 | 83.51 | 86.83 | 60.41 | 49.65 | 70.54 | 72.91 |
Stepwise(cs) vs. Stepwise(fc) | 75.98 | 83.48 | 68.80 | 82.08 | 77.68 | 80.77 | 62.31 | 51.33 | 69.89 | 73.52 |
Chiu(cs) vs. Chiu(fc) | 66.37 | 59.05 | 78.21 | 80.30 | 86.17 | 78.41 | 80.06 | 57.76 | 75.99 | 70.98 |