Acta Psychologica Sinica ›› 2022, Vol. 54 ›› Issue (4): 355-370.doi: 10.3724/SP.J.1041.2022.00355
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SI Jiwei1(), GUO Kaiyue1, ZHAO Xiaomeng1, ZHANG Mingliang1,2, LI Hongxia1, HUANG Bijuan1, XU Yanli1
Received:
2021-05-14
Published:
2022-04-25
Online:
2022-02-21
Contact:
SI Jiwei
E-mail:sijiwei1974@126.com
Supported by:
SI Jiwei, GUO Kaiyue, ZHAO Xiaomeng, ZHANG Mingliang, LI Hongxia, HUANG Bijuan, XU Yanli. (2022). Transition of latent classes of children’s mathematics anxiety in primary school and the distinctive effects of parental educational involvement: A three-wave longitudinal study. Acta Psychologica Sinica, 54(4), 355-370.
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URL: https://journal.psych.ac.cn/acps/EN/10.3724/SP.J.1041.2022.00355
Model | S-Bχ2 (df ) | CFI | TLI | RMSEA | ∆χ2 (∆df ) | p | ∆CFI |
---|---|---|---|---|---|---|---|
Paternal educational involvement | |||||||
Model 1 | 8652.034 (3462) | 0.931 | 0.925 | 0.030 | - | - | - |
Model 2 | 8805.099 (3510) | 0.929 | 0.925 | 0.030 | 153.065 (48) | < 0.01 | 0.002 |
Model 3 | 9094.466 (3558) | 0.926 | 0.922 | 0.030 | 289.367 (48) | < 0.01 | 0.003 |
Maternal educational involvement | |||||||
Model 1 | 7733.688 (3462) | 0.926 | 0.920 | 0.027 | - | - | - |
Model 2 | 7923.238 (3510) | 0.924 | 0.919 | 0.027 | 189.550 (48) | < 0.01 | 0.002 |
Model 3 | 8425.155 (3558) | 0.916 | 0.912 | 0.028 | 501.917 (48) | < 0.01 | 0.008 |
Mathematics anxiety | |||||||
Model 1 | 3951.169 (1947) | 0.956 | 0.951 | 0.024 | - | - | - |
Model 2 | 4032.857 (1983) | 0.955 | 0.951 | 0.025 | 81.688 (36) | < 0.01 | 0.001 |
Model 3 | 4192.570 (2019) | 0.952 | 0.949 | 0.025 | 159.713 (36) | < 0.01 | 0.003 |
Table 1 Longitudinal measurement invariance fitting index of each scale at three time points
Model | S-Bχ2 (df ) | CFI | TLI | RMSEA | ∆χ2 (∆df ) | p | ∆CFI |
---|---|---|---|---|---|---|---|
Paternal educational involvement | |||||||
Model 1 | 8652.034 (3462) | 0.931 | 0.925 | 0.030 | - | - | - |
Model 2 | 8805.099 (3510) | 0.929 | 0.925 | 0.030 | 153.065 (48) | < 0.01 | 0.002 |
Model 3 | 9094.466 (3558) | 0.926 | 0.922 | 0.030 | 289.367 (48) | < 0.01 | 0.003 |
Maternal educational involvement | |||||||
Model 1 | 7733.688 (3462) | 0.926 | 0.920 | 0.027 | - | - | - |
Model 2 | 7923.238 (3510) | 0.924 | 0.919 | 0.027 | 189.550 (48) | < 0.01 | 0.002 |
Model 3 | 8425.155 (3558) | 0.916 | 0.912 | 0.028 | 501.917 (48) | < 0.01 | 0.008 |
Mathematics anxiety | |||||||
Model 1 | 3951.169 (1947) | 0.956 | 0.951 | 0.024 | - | - | - |
Model 2 | 4032.857 (1983) | 0.955 | 0.951 | 0.025 | 81.688 (36) | < 0.01 | 0.001 |
Model 3 | 4192.570 (2019) | 0.952 | 0.949 | 0.025 | 159.713 (36) | < 0.01 | 0.003 |
Variable | T1 PEI | T2 PEI | T3 PEI | T1 MEI | T2 MEI | T3 MEI | T1 CMA | T2 CMA | T3 CMA |
---|---|---|---|---|---|---|---|---|---|
Gender | |||||||||
Boys | 2.55 (0.71) | 2.68 (0.79) | 2.70 (0.73) | 2.85 (0.61) | 3.10 (0.63) | 3.16 (0.63) | 1.93 (0.62) | 1.86 (0.67) | 1.77 (0.68) |
Girls | 2.60 (0.69) | 2.73 (0.74) | 2.61 (0.73) | 2.90 (0.60) | 3.10 (0.62) | 3.08 (0.64) | 1.82 (0.60) | 1.80 (0.62) | 1.79 (0.61) |
Grade | |||||||||
Grade 3 | 2.52 (0.70) | 2.59 (0.74) | 2.67 (0.71) | 2.78 (0.60) | 3.01 (0.61) | 3.14 (0.62) | 1.99 (0.64) | 1.92 (0.64) | 1.83 (0.66) |
Grade 4 | 2.62 (0.70) | 2.82 (0.79) | 2.66 (0.75) | 2.96 (0.61) | 3.19 (0.62) | 3.11 (0.65) | 1.78 (0.57) | 1.75 (0.65) | 1.73 (0.63) |
Gender (r) | 0.04 | 0.03 | -0.06* | 0.04 | -0.01 | -0.06* | -0.09** | -0.05* | 0.01 |
Grade (r) | 0.07** | 0.15** | -0.01 | 0.14** | 0.14** | -0.02 | -0.17** | -0.14** | -0.08** |
Test anxiety (r) | -0.13** | -0.14** | -0.14** | -0.10** | -0.11** | -0.09** | 0.39** | 0.29** | 0.24** |
T1 MA (r) | 0.01 | 0.03 | 0.02 | 0.06* | 0.03 | 0.02 | -0.25** | -0.23** | -0.26** |
T2 MA (r) | 0.06* | 0.08** | 0.09** | 0.10** | 0.08** | 0.09** | -0.26** | -0.24** | -0.31** |
T3 MA (r) | 0.09** | 0.04 | 0.05* | 0.10** | 0.07** | 0.06** | -0.26** | -0.27** | -0.33** |
Table 2 Descriptive statistics of parental educational involvement and children’s mathematics anxiety in gender and grade [M (SD)]
Variable | T1 PEI | T2 PEI | T3 PEI | T1 MEI | T2 MEI | T3 MEI | T1 CMA | T2 CMA | T3 CMA |
---|---|---|---|---|---|---|---|---|---|
Gender | |||||||||
Boys | 2.55 (0.71) | 2.68 (0.79) | 2.70 (0.73) | 2.85 (0.61) | 3.10 (0.63) | 3.16 (0.63) | 1.93 (0.62) | 1.86 (0.67) | 1.77 (0.68) |
Girls | 2.60 (0.69) | 2.73 (0.74) | 2.61 (0.73) | 2.90 (0.60) | 3.10 (0.62) | 3.08 (0.64) | 1.82 (0.60) | 1.80 (0.62) | 1.79 (0.61) |
Grade | |||||||||
Grade 3 | 2.52 (0.70) | 2.59 (0.74) | 2.67 (0.71) | 2.78 (0.60) | 3.01 (0.61) | 3.14 (0.62) | 1.99 (0.64) | 1.92 (0.64) | 1.83 (0.66) |
Grade 4 | 2.62 (0.70) | 2.82 (0.79) | 2.66 (0.75) | 2.96 (0.61) | 3.19 (0.62) | 3.11 (0.65) | 1.78 (0.57) | 1.75 (0.65) | 1.73 (0.63) |
Gender (r) | 0.04 | 0.03 | -0.06* | 0.04 | -0.01 | -0.06* | -0.09** | -0.05* | 0.01 |
Grade (r) | 0.07** | 0.15** | -0.01 | 0.14** | 0.14** | -0.02 | -0.17** | -0.14** | -0.08** |
Test anxiety (r) | -0.13** | -0.14** | -0.14** | -0.10** | -0.11** | -0.09** | 0.39** | 0.29** | 0.24** |
T1 MA (r) | 0.01 | 0.03 | 0.02 | 0.06* | 0.03 | 0.02 | -0.25** | -0.23** | -0.26** |
T2 MA (r) | 0.06* | 0.08** | 0.09** | 0.10** | 0.08** | 0.09** | -0.26** | -0.24** | -0.31** |
T3 MA (r) | 0.09** | 0.04 | 0.05* | 0.10** | 0.07** | 0.06** | -0.26** | -0.27** | -0.33** |
Variable | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1. | T1 Paternal Educational Involvement | 1 | ||||||||||||||||||||
2. | T1 Maternal Educational Involvement | 0.56** | 1 | |||||||||||||||||||
3. | T1 Children’s Mathematics Anxiety | -0.16** | -0.22** | 1 | ||||||||||||||||||
4. | T1 Evaluation Anxiety | -0.20** | -0.21** | 0.87** | 1 | |||||||||||||||||
5. | T1 Learning Anxiety | -0.07** | -0.15** | 0.87** | 0.56** | 1 | ||||||||||||||||
6. | T1 Problem Solving Anxiety | -0.14** | -0.21** | 0.90** | 0.65** | 0.79** | 1 | |||||||||||||||
7. | T1 Teacher Anxiety | -0.06* | -0.18** | 0.75** | 0.45** | 0.75** | 0.70** | 1 | ||||||||||||||
8. | T2 Paternal Educational Involvement | 0.46** | 0.36** | -0.13** | -0.14** | -0.09** | -0.09** | -0.07** | 1 | |||||||||||||
9. | T2 Maternal Educational Involvement | 0.33** | 0.45** | -0.15** | -0.16** | -0.09** | -0.13** | -0.10** | 0.52** | 1 | ||||||||||||
10. | T2 Children’s Mathematics Anxiety | -0.16** | -0.19** | 0.34** | 0.31** | 0.26** | 0.29** | 0.25** | -0.24** | -0.24** | 1 | |||||||||||
11. | T2 Evaluation Anxiety | -0.16** | -0.16** | 0.28** | 0.32** | 0.18** | 0.21** | 0.15** | -0.23** | -0.20** | 0.87** | 1 | ||||||||||
12. | T2 Learning Anxiety | -0.11** | -0.17** | 0.30** | 0.25** | 0.27** | 0.27** | 0.27** | -0.18** | -0.19** | 0.87** | 0.57** | 1 | |||||||||
13. | T2 Problem Solving Anxiety | -0.15** | -0.18** | 0.30** | 0.25** | 0.26** | 0.29** | 0.26** | -0.22** | -0.23** | 0.89** | 0.63** | 0.82** | 1 | ||||||||
14. | T2 Teacher Anxiety | -0.09** | -0.12** | 0.27** | 0.21** | 0.25** | 0.25** | 0.25** | -0.17** | -0.17** | 0.75** | 0.46** | 0.76** | 0.73** | 1 | |||||||
15. | T3 Paternal Educational Involvement | 0.41** | 0.28** | -0.10** | -0.12** | -0.05* | -0.07** | -0.05 | 0.53** | 0.33** | -0.18** | -0.18** | -0.13** | -0.15** | -0.11** | 1 | ||||||
16. | T3 Maternal Educational Involvement | 0.29** | 0.41** | -0.09** | -0.12** | -0.03 | -0.08** | -0.04 | 0.36** | 0.51** | -0.18** | -0.18** | -0.15** | -0.16** | -0.11** | 0.54** | 1 | |||||
17. | T3 Children’s Mathematics Anxiety | -0.16** | -0.20** | 0.30** | 0.29** | 0.22** | 0.26** | 0.21** | -0.19** | -0.21** | 0.47** | 0.41** | 0.40** | 0.41** | 0.37** | -0.31** | -0.31** | 1 | ||||
18. | T3 Evaluation Anxiety | -0.15** | -0.17** | 0.24** | 0.29** | 0.13** | 0.19** | 0.12** | -0.19** | -0.21** | 0.42** | 0.43** | 0.31** | 0.33** | 0.26** | -0.32** | -0.32** | 0.88** | 1 | |||
19. | T3 Learning Anxiety | -0.11** | -0.17** | 0.27** | 0.22** | 0.24** | 0.24** | 0.22** | -0.15** | -0.15** | 0.40** | 0.31** | 0.39** | 0.38** | 0.37** | -0.23** | -0.23** | 0.88** | 0.60** | 1 | ||
20. | T3 Problem Solving Anxiety | -0.14** | -0.19** | 0.29** | 0.25** | 0.23** | 0.28** | 0.24** | -0.16** | -0.19** | 0.42** | 0.32** | 0.40** | 0.41** | 0.37** | -0.25** | -0.27** | 0.91** | 0.66** | 0.83** | 1 | |
21. | T3 Teacher Anxiety | -0.16** | -0.18** | 0.28** | 0.24** | 0.24** | 0.26** | 0.24** | -0.16** | -0.15** | 0.38** | 0.27** | 0.38** | 0.37** | 0.35** | -0.23** | -0.21** | 0.80** | 0.53** | 0.78** | 0.79** | 1 |
M | 2.57 | 2.87 | 1.88 | 2.22 | 1.62 | 1.77 | 1.62 | 2.70 | 3.10 | 1.84 | 2.19 | 1.60 | 1.69 | 1.56 | 2.67 | 3.13 | 1.78 | 2.16 | 1.55 | 1.60 | 1.51 | |
SD | 0.71 | 0.61 | 0.61 | 0.79 | 0.65 | 0.65 | 0.80 | 0.77 | 0.62 | 0.65 | 0.86 | 0.69 | 0.67 | 0.77 | 0.73 | 0.64 | 0.65 | 0.84 | 0.69 | 0.64 | 0.73 |
Table 3 Means, standard deviations and correlations for the study variables (N = 1720)
Variable | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1. | T1 Paternal Educational Involvement | 1 | ||||||||||||||||||||
2. | T1 Maternal Educational Involvement | 0.56** | 1 | |||||||||||||||||||
3. | T1 Children’s Mathematics Anxiety | -0.16** | -0.22** | 1 | ||||||||||||||||||
4. | T1 Evaluation Anxiety | -0.20** | -0.21** | 0.87** | 1 | |||||||||||||||||
5. | T1 Learning Anxiety | -0.07** | -0.15** | 0.87** | 0.56** | 1 | ||||||||||||||||
6. | T1 Problem Solving Anxiety | -0.14** | -0.21** | 0.90** | 0.65** | 0.79** | 1 | |||||||||||||||
7. | T1 Teacher Anxiety | -0.06* | -0.18** | 0.75** | 0.45** | 0.75** | 0.70** | 1 | ||||||||||||||
8. | T2 Paternal Educational Involvement | 0.46** | 0.36** | -0.13** | -0.14** | -0.09** | -0.09** | -0.07** | 1 | |||||||||||||
9. | T2 Maternal Educational Involvement | 0.33** | 0.45** | -0.15** | -0.16** | -0.09** | -0.13** | -0.10** | 0.52** | 1 | ||||||||||||
10. | T2 Children’s Mathematics Anxiety | -0.16** | -0.19** | 0.34** | 0.31** | 0.26** | 0.29** | 0.25** | -0.24** | -0.24** | 1 | |||||||||||
11. | T2 Evaluation Anxiety | -0.16** | -0.16** | 0.28** | 0.32** | 0.18** | 0.21** | 0.15** | -0.23** | -0.20** | 0.87** | 1 | ||||||||||
12. | T2 Learning Anxiety | -0.11** | -0.17** | 0.30** | 0.25** | 0.27** | 0.27** | 0.27** | -0.18** | -0.19** | 0.87** | 0.57** | 1 | |||||||||
13. | T2 Problem Solving Anxiety | -0.15** | -0.18** | 0.30** | 0.25** | 0.26** | 0.29** | 0.26** | -0.22** | -0.23** | 0.89** | 0.63** | 0.82** | 1 | ||||||||
14. | T2 Teacher Anxiety | -0.09** | -0.12** | 0.27** | 0.21** | 0.25** | 0.25** | 0.25** | -0.17** | -0.17** | 0.75** | 0.46** | 0.76** | 0.73** | 1 | |||||||
15. | T3 Paternal Educational Involvement | 0.41** | 0.28** | -0.10** | -0.12** | -0.05* | -0.07** | -0.05 | 0.53** | 0.33** | -0.18** | -0.18** | -0.13** | -0.15** | -0.11** | 1 | ||||||
16. | T3 Maternal Educational Involvement | 0.29** | 0.41** | -0.09** | -0.12** | -0.03 | -0.08** | -0.04 | 0.36** | 0.51** | -0.18** | -0.18** | -0.15** | -0.16** | -0.11** | 0.54** | 1 | |||||
17. | T3 Children’s Mathematics Anxiety | -0.16** | -0.20** | 0.30** | 0.29** | 0.22** | 0.26** | 0.21** | -0.19** | -0.21** | 0.47** | 0.41** | 0.40** | 0.41** | 0.37** | -0.31** | -0.31** | 1 | ||||
18. | T3 Evaluation Anxiety | -0.15** | -0.17** | 0.24** | 0.29** | 0.13** | 0.19** | 0.12** | -0.19** | -0.21** | 0.42** | 0.43** | 0.31** | 0.33** | 0.26** | -0.32** | -0.32** | 0.88** | 1 | |||
19. | T3 Learning Anxiety | -0.11** | -0.17** | 0.27** | 0.22** | 0.24** | 0.24** | 0.22** | -0.15** | -0.15** | 0.40** | 0.31** | 0.39** | 0.38** | 0.37** | -0.23** | -0.23** | 0.88** | 0.60** | 1 | ||
20. | T3 Problem Solving Anxiety | -0.14** | -0.19** | 0.29** | 0.25** | 0.23** | 0.28** | 0.24** | -0.16** | -0.19** | 0.42** | 0.32** | 0.40** | 0.41** | 0.37** | -0.25** | -0.27** | 0.91** | 0.66** | 0.83** | 1 | |
21. | T3 Teacher Anxiety | -0.16** | -0.18** | 0.28** | 0.24** | 0.24** | 0.26** | 0.24** | -0.16** | -0.15** | 0.38** | 0.27** | 0.38** | 0.37** | 0.35** | -0.23** | -0.21** | 0.80** | 0.53** | 0.78** | 0.79** | 1 |
M | 2.57 | 2.87 | 1.88 | 2.22 | 1.62 | 1.77 | 1.62 | 2.70 | 3.10 | 1.84 | 2.19 | 1.60 | 1.69 | 1.56 | 2.67 | 3.13 | 1.78 | 2.16 | 1.55 | 1.60 | 1.51 | |
SD | 0.71 | 0.61 | 0.61 | 0.79 | 0.65 | 0.65 | 0.80 | 0.77 | 0.62 | 0.65 | 0.86 | 0.69 | 0.67 | 0.77 | 0.73 | 0.64 | 0.65 | 0.84 | 0.69 | 0.64 | 0.73 |
Time | AIC | BIC | aBIC | Entropy | LMRT (p) | BLRT (p) | Percentage (%) | |
---|---|---|---|---|---|---|---|---|
T1 | 2 Classes | 16547.51 | 16618.36 | 16577.06 | 0.90 | < 0.01 | < 0.01 | 71.3 / 28.7 |
3 Classes | 15381.52 | 15479.63 | 15422.44 | 0.86 | < 0.01 | < 0.01 | 49.2 / 35.2 / 15.6 | |
4 Classes | 14698.64 | 14824.00 | 14750.93 | 0.88 | < 0.01 | < 0.01 | 45.8 / 32.2 / 4.4 / 17.6 | |
5 Classes | 14480.28 | 14632.88 | 14543.93 | 0.83 | >0.05 | < 0.01 | 38.4 / 28.1 / 14.7 / 4.3 / 14.5 | |
T2 | 2 Classes | 16291.11 | 16361.96 | 16320.66 | 0.92 | < 0.01 | < 0.01 | 71.3 / 28.7 |
3 Classes | 15070.49 | 15168.59 | 15111.41 | 0.88 | < 0.01 | < 0.01 | 54.2 / 32.8 / 13.0 | |
4 Classes | 14336.19 | 14461.55 | 14388.48 | 0.90 | < 0.01 | < 0.01 | 49.3 / 30.3 / 2.7 / 17.7 | |
5 Classes | 14015.38 | 14167.98 | 14079.03 | 0.90 | >0.05 | < 0.01 | 46.6 / 9.6 / 14.1 / 2.2 / 27.5 | |
T3 | 2 Classes | 15736.23 | 15807.08 | 15765.78 | 0.94 | < 0.01 | < 0.01 | 76.3 / 23.7 |
3 Classes | 14499.57 | 14597.67 | 14540.49 | 0.93 | < 0.05 | < 0.01 | 68.1 / 24.7 / 7.2 | |
4 Classes | 13692.59 | 13817.94 | 13744.87 | 0.90 | < 0.05 | < 0.01 | 53.3 / 27.6 / 15.2 / 3.9 | |
5 Classes | 13374.71 | 13527.32 | 13438.36 | 0.88 | >0.05 | < 0.01 | 48.9 / 9.2 / 14.3 / 25.4 / 2.2 |
Table 4 LPA model fitting indexes of T1, T2 and T3
Time | AIC | BIC | aBIC | Entropy | LMRT (p) | BLRT (p) | Percentage (%) | |
---|---|---|---|---|---|---|---|---|
T1 | 2 Classes | 16547.51 | 16618.36 | 16577.06 | 0.90 | < 0.01 | < 0.01 | 71.3 / 28.7 |
3 Classes | 15381.52 | 15479.63 | 15422.44 | 0.86 | < 0.01 | < 0.01 | 49.2 / 35.2 / 15.6 | |
4 Classes | 14698.64 | 14824.00 | 14750.93 | 0.88 | < 0.01 | < 0.01 | 45.8 / 32.2 / 4.4 / 17.6 | |
5 Classes | 14480.28 | 14632.88 | 14543.93 | 0.83 | >0.05 | < 0.01 | 38.4 / 28.1 / 14.7 / 4.3 / 14.5 | |
T2 | 2 Classes | 16291.11 | 16361.96 | 16320.66 | 0.92 | < 0.01 | < 0.01 | 71.3 / 28.7 |
3 Classes | 15070.49 | 15168.59 | 15111.41 | 0.88 | < 0.01 | < 0.01 | 54.2 / 32.8 / 13.0 | |
4 Classes | 14336.19 | 14461.55 | 14388.48 | 0.90 | < 0.01 | < 0.01 | 49.3 / 30.3 / 2.7 / 17.7 | |
5 Classes | 14015.38 | 14167.98 | 14079.03 | 0.90 | >0.05 | < 0.01 | 46.6 / 9.6 / 14.1 / 2.2 / 27.5 | |
T3 | 2 Classes | 15736.23 | 15807.08 | 15765.78 | 0.94 | < 0.01 | < 0.01 | 76.3 / 23.7 |
3 Classes | 14499.57 | 14597.67 | 14540.49 | 0.93 | < 0.05 | < 0.01 | 68.1 / 24.7 / 7.2 | |
4 Classes | 13692.59 | 13817.94 | 13744.87 | 0.90 | < 0.05 | < 0.01 | 53.3 / 27.6 / 15.2 / 3.9 | |
5 Classes | 13374.71 | 13527.32 | 13438.36 | 0.88 | >0.05 | < 0.01 | 48.9 / 9.2 / 14.3 / 25.4 / 2.2 |
Dimensions | Low mathematics anxiety group | High mathematics evaluation anxiety group | High mathematics acquisition anxiety group | F | ηp2 | |
---|---|---|---|---|---|---|
T1 | ||||||
Evaluation anxiety | -0.69 (0.72) a | 0.67 (0.68) b | 0.80 (0.75) b | 829.48*** | 0.49 | |
Learning anxiety | -0.71 (0.33) a | 0.32 (0.59) b | 1.78 (0.81) c | 2362.426*** | 0.73 | |
Problem solving anxiety | -0.73 (0.45) a | 0.44 (0.63) b | 1.54 (0.79) c | 1775.93*** | 0.67 | |
Teacher anxiety | -0.62 (0.35) a | 0.16 (0.74) b | 1.83 (0.75) c | 1740.40*** | 0.67 | |
T2 | ||||||
Evaluation anxiety | -0.68 (0.65) a | 0.67 (0.75) b | 0.88 (0.77) c | 870.18*** | 0.50 | |
Learning anxiety | -0.68 (0.28) a | 0.28 (0.61) b | 1.82 (0.80) c | 2456.36*** | 0.74 | |
Problem solving anxiety | -0.72 (0.38) a | 0.40 (0.60) b | 1.65 (0.81) c | 2099.78*** | 0.71 | |
Teacher anxiety | -0.59 (0.32) a | 0.14 (0.69) b | 1.83 (0.92) c | 1721.54*** | 0.67 | |
T3 | ||||||
Evaluation anxiety | -0.64 (0.64) a | 0.73 (0.71) b | 0.97 (0.82) c | 949.11*** | 0.53 | |
Learning anxiety | -0.62 (0.27) a | 0.24 (0.57) b | 1.87 (0.86) c | 2679.75*** | 0.76 | |
Problem solving anxiety | -0.66 (0.34) a | 0.37 (0.55) b | 1.77 (0.82) c | 2576.41*** | 0.75 | |
Teacher anxiety | -0.59 (0.30) a | 0.21 (0.68) b | 1.79 (0.93) c | 1864.27*** | 0.69 |
Table 5 Mean differences in the four mathematics anxiety dimensions by the three mathematics anxiety subtypes
Dimensions | Low mathematics anxiety group | High mathematics evaluation anxiety group | High mathematics acquisition anxiety group | F | ηp2 | |
---|---|---|---|---|---|---|
T1 | ||||||
Evaluation anxiety | -0.69 (0.72) a | 0.67 (0.68) b | 0.80 (0.75) b | 829.48*** | 0.49 | |
Learning anxiety | -0.71 (0.33) a | 0.32 (0.59) b | 1.78 (0.81) c | 2362.426*** | 0.73 | |
Problem solving anxiety | -0.73 (0.45) a | 0.44 (0.63) b | 1.54 (0.79) c | 1775.93*** | 0.67 | |
Teacher anxiety | -0.62 (0.35) a | 0.16 (0.74) b | 1.83 (0.75) c | 1740.40*** | 0.67 | |
T2 | ||||||
Evaluation anxiety | -0.68 (0.65) a | 0.67 (0.75) b | 0.88 (0.77) c | 870.18*** | 0.50 | |
Learning anxiety | -0.68 (0.28) a | 0.28 (0.61) b | 1.82 (0.80) c | 2456.36*** | 0.74 | |
Problem solving anxiety | -0.72 (0.38) a | 0.40 (0.60) b | 1.65 (0.81) c | 2099.78*** | 0.71 | |
Teacher anxiety | -0.59 (0.32) a | 0.14 (0.69) b | 1.83 (0.92) c | 1721.54*** | 0.67 | |
T3 | ||||||
Evaluation anxiety | -0.64 (0.64) a | 0.73 (0.71) b | 0.97 (0.82) c | 949.11*** | 0.53 | |
Learning anxiety | -0.62 (0.27) a | 0.24 (0.57) b | 1.87 (0.86) c | 2679.75*** | 0.76 | |
Problem solving anxiety | -0.66 (0.34) a | 0.37 (0.55) b | 1.77 (0.82) c | 2576.41*** | 0.75 | |
Teacher anxiety | -0.59 (0.30) a | 0.21 (0.68) b | 1.79 (0.93) c | 1864.27*** | 0.69 |
Low mathematics anxiety group | High mathematics evaluation anxiety group | High mathematics acquisition anxiety group | |
---|---|---|---|
Status probabilities | |||
T1 | 0.49 | 0.35 | 0.16 |
T2 | 0.54 | 0.33 | 0.13 |
T3 | 0.68 | 0.25 | 0.07 |
Transition probabilities from T1 to T2 | |||
Low mathematics anxiety group | 0.73 | 0.20 | 0.07 |
High mathematics evaluation anxiety group | 0.29 | 0.50 | 0.21 |
High mathematics acquisition anxiety group | 0.31 | 0.45 | 0.24 |
Transition probabilities from T2 to T3 | |||
Low mathematics anxiety group | 0.82 | 0.13 | 0.05 |
High mathematics evaluation anxiety group | 0.31 | 0.51 | 0.18 |
High mathematics acquisition anxiety group | 0.21 | 0.36 | 0.43 |
Table 6 Status probabilities and transition probabilities of mathematics anxiety subtypes across time
Low mathematics anxiety group | High mathematics evaluation anxiety group | High mathematics acquisition anxiety group | |
---|---|---|---|
Status probabilities | |||
T1 | 0.49 | 0.35 | 0.16 |
T2 | 0.54 | 0.33 | 0.13 |
T3 | 0.68 | 0.25 | 0.07 |
Transition probabilities from T1 to T2 | |||
Low mathematics anxiety group | 0.73 | 0.20 | 0.07 |
High mathematics evaluation anxiety group | 0.29 | 0.50 | 0.21 |
High mathematics acquisition anxiety group | 0.31 | 0.45 | 0.24 |
Transition probabilities from T2 to T3 | |||
Low mathematics anxiety group | 0.82 | 0.13 | 0.05 |
High mathematics evaluation anxiety group | 0.31 | 0.51 | 0.18 |
High mathematics acquisition anxiety group | 0.21 | 0.36 | 0.43 |
Profiles | Influencing factors | LMA | HMEA | HMAA | ||||||
---|---|---|---|---|---|---|---|---|---|---|
B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | ||
T1 to T2 | ||||||||||
LMA | Paternal educational involvement | - | - | - | -0.49** (0.15) | 0.61 | [0.45, 0.82] | -0.23 (0.25) | 0.79 | [0.49, 1.28] |
Maternal educational involvement | - | - | - | 0.14 (0.19) | 1.16 | [0.80, 1.66] | -0.36 (0.29) | 0.70 | [0.40, 1.23] | |
HMEA | Paternal educational involvement | -0.01 (0.16) | 0.99 | [0.72, 1.36] | - | - | - | 0.11 (0.18) | 1.11 | [0.78, 1.58] |
Maternal educational involvement | 0.38* (0.19) | 1.46 | [1.01, 2.11] | - | - | - | -0.21 (0.20) | 0.81 | [0.55, 1.21] | |
HMAA | Paternal educational involvement | 0.15 (0.31) | 1.16 | [0.63, 2.13] | -0.24 (0.29) | 0.78 | [0.45, 1.37] | - | - | - |
Maternal educational involvement | -0.09 (0.34) | 0.92 | [0.48, 1.77] | 0.18 (0.31) | 1.20 | [0.65, 2.21] | - | - | - | |
T2 to T3 | ||||||||||
LMA | Paternal educational involvement | - | - | - | 0.26 (0.17) | 1.29 | [0.93, 1.78] | -0.07 (0.23) | 0.93 | [0.60, 1.45] |
Maternal educational involvement | - | - | - | -0.92*** (0.19) | 0.40 | [0.27, 0.58] | -0.43 (0.29) | 0.65 | [0.37, 1.14] | |
HMEA | Paternal educational involvement | 0.03 (0.15) | 1.03 | [0.78, 1.37] | - | - | - | -0.19 (0.17) | 0.83 | [0.59, 1.16] |
Maternal educational involvement | 0.29 (0.17) | 1.34 | [0.96, 1.88] | - | - | - | 0.49* (0.21) | 1.63 | [1.08, 2.46] | |
HMAA | Paternal educational involvement | 0.64* (0.27) | 1.90 | [1.13, 3.20] | -0.02 (0.21) | 0.98 | [0.65, 1.49] | - | - | - |
Maternal educational involvement | 0.17 (0.32) | 1.19 | [0.64, 2.21] | -0.03 (0.25) | 0.97 | [0.59, 1.60] | - | - | - |
Table 7 Odds ratio of transition probability under the effect of parental educational involvement
Profiles | Influencing factors | LMA | HMEA | HMAA | ||||||
---|---|---|---|---|---|---|---|---|---|---|
B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | ||
T1 to T2 | ||||||||||
LMA | Paternal educational involvement | - | - | - | -0.49** (0.15) | 0.61 | [0.45, 0.82] | -0.23 (0.25) | 0.79 | [0.49, 1.28] |
Maternal educational involvement | - | - | - | 0.14 (0.19) | 1.16 | [0.80, 1.66] | -0.36 (0.29) | 0.70 | [0.40, 1.23] | |
HMEA | Paternal educational involvement | -0.01 (0.16) | 0.99 | [0.72, 1.36] | - | - | - | 0.11 (0.18) | 1.11 | [0.78, 1.58] |
Maternal educational involvement | 0.38* (0.19) | 1.46 | [1.01, 2.11] | - | - | - | -0.21 (0.20) | 0.81 | [0.55, 1.21] | |
HMAA | Paternal educational involvement | 0.15 (0.31) | 1.16 | [0.63, 2.13] | -0.24 (0.29) | 0.78 | [0.45, 1.37] | - | - | - |
Maternal educational involvement | -0.09 (0.34) | 0.92 | [0.48, 1.77] | 0.18 (0.31) | 1.20 | [0.65, 2.21] | - | - | - | |
T2 to T3 | ||||||||||
LMA | Paternal educational involvement | - | - | - | 0.26 (0.17) | 1.29 | [0.93, 1.78] | -0.07 (0.23) | 0.93 | [0.60, 1.45] |
Maternal educational involvement | - | - | - | -0.92*** (0.19) | 0.40 | [0.27, 0.58] | -0.43 (0.29) | 0.65 | [0.37, 1.14] | |
HMEA | Paternal educational involvement | 0.03 (0.15) | 1.03 | [0.78, 1.37] | - | - | - | -0.19 (0.17) | 0.83 | [0.59, 1.16] |
Maternal educational involvement | 0.29 (0.17) | 1.34 | [0.96, 1.88] | - | - | - | 0.49* (0.21) | 1.63 | [1.08, 2.46] | |
HMAA | Paternal educational involvement | 0.64* (0.27) | 1.90 | [1.13, 3.20] | -0.02 (0.21) | 0.98 | [0.65, 1.49] | - | - | - |
Maternal educational involvement | 0.17 (0.32) | 1.19 | [0.64, 2.21] | -0.03 (0.25) | 0.97 | [0.59, 1.60] | - | - | - |
Profiles | Influencing factors | LMA | HMEA | HMAA | ||||||
---|---|---|---|---|---|---|---|---|---|---|
B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | ||
T1-T2 | ||||||||||
LMA | Paternal educational involvement | - | - | - | -0.74*** (0.20) | 0.48 | [0.32, 0.70] | -0.36 (0.30) | 0.70 | [0.39, 1.25] |
Maternal educational involvement | - | - | - | 0.44 (0.24) | 1.55 | [0.96, 2.50] | -0.16 (0.35) | 0.86 | [0.43, 1.71] | |
HMEA | Paternal educational involvement | 0.04 (0.20) | 1.04 | [0.70, 1.55] | - | - | - | 0.16 (0.21) | 1.17 | [0.77, 1.78] |
Maternal educational involvement | 0.24 (0.24) | 1.27 | [0.80, 2.01] | - | - | - | -0.15 (0.25) | 0.86 | [0.53, 1.39] | |
HMAA | Paternal educational involvement | 0.04 (0.36) | 1.04 | [0.51, 2.11] | -0.39 (0.33) | 0.68 | [0.35, 1.30] | - | - | - |
Maternal educational involvement | -0.25 (0.39) | 0.78 | [0.36, 1.68] | 0.48 (0.38) | 1.62 | [0.77, 3.37] | - | - | - | |
T2-T3 | ||||||||||
LMA | Paternal educational involvement | - | - | - | 0.14 (0.21) | 1.15 | [0.76, 1.74] | 0.06 (0.26) | 1.06 | [0.64, 1.76] |
Maternal educational involvement | - | - | - | -0.88** (0.26) | 0.41 | [0.25, 0.69] | -0.36 (0.33) | 0.70 | [0.37, 1.33] | |
HMEA | Paternal educational involvement | 0.14 (0.18) | 1.15 | [0.81, 1.64] | - | - | - | -0.15 (0.22) | 0.86 | [0.56, 1.32] |
Maternal educational involvement | 0.36 (0.22) | 1.43 | [0.93, 2.20] | - | - | - | 0.53 (0.27) | 1.69 | [1.00, 2.88] | |
HMAA | Paternal educational involvement | 0.33 (0.30) | 1.38 | [0.76, 2.51] | -0.29 (0.26) | 0.75 | [0.45, 1.24] | - | - | - |
Maternal educational involvement | 0.56 (0.38) | 1.75 | [0.84, 3.67] | 0.10 (0.30) | 1.11 | [0.61, 1.99] | - | - | - |
Table 8 Odds ratio of transition probability under the effect of parental educational involvement of boys
Profiles | Influencing factors | LMA | HMEA | HMAA | ||||||
---|---|---|---|---|---|---|---|---|---|---|
B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | ||
T1-T2 | ||||||||||
LMA | Paternal educational involvement | - | - | - | -0.74*** (0.20) | 0.48 | [0.32, 0.70] | -0.36 (0.30) | 0.70 | [0.39, 1.25] |
Maternal educational involvement | - | - | - | 0.44 (0.24) | 1.55 | [0.96, 2.50] | -0.16 (0.35) | 0.86 | [0.43, 1.71] | |
HMEA | Paternal educational involvement | 0.04 (0.20) | 1.04 | [0.70, 1.55] | - | - | - | 0.16 (0.21) | 1.17 | [0.77, 1.78] |
Maternal educational involvement | 0.24 (0.24) | 1.27 | [0.80, 2.01] | - | - | - | -0.15 (0.25) | 0.86 | [0.53, 1.39] | |
HMAA | Paternal educational involvement | 0.04 (0.36) | 1.04 | [0.51, 2.11] | -0.39 (0.33) | 0.68 | [0.35, 1.30] | - | - | - |
Maternal educational involvement | -0.25 (0.39) | 0.78 | [0.36, 1.68] | 0.48 (0.38) | 1.62 | [0.77, 3.37] | - | - | - | |
T2-T3 | ||||||||||
LMA | Paternal educational involvement | - | - | - | 0.14 (0.21) | 1.15 | [0.76, 1.74] | 0.06 (0.26) | 1.06 | [0.64, 1.76] |
Maternal educational involvement | - | - | - | -0.88** (0.26) | 0.41 | [0.25, 0.69] | -0.36 (0.33) | 0.70 | [0.37, 1.33] | |
HMEA | Paternal educational involvement | 0.14 (0.18) | 1.15 | [0.81, 1.64] | - | - | - | -0.15 (0.22) | 0.86 | [0.56, 1.32] |
Maternal educational involvement | 0.36 (0.22) | 1.43 | [0.93, 2.20] | - | - | - | 0.53 (0.27) | 1.69 | [1.00, 2.88] | |
HMAA | Paternal educational involvement | 0.33 (0.30) | 1.38 | [0.76, 2.51] | -0.29 (0.26) | 0.75 | [0.45, 1.24] | - | - | - |
Maternal educational involvement | 0.56 (0.38) | 1.75 | [0.84, 3.67] | 0.10 (0.30) | 1.11 | [0.61, 1.99] | - | - | - |
Profiles | Influencing factors | LMA | HMEA | HMAA | ||||||
---|---|---|---|---|---|---|---|---|---|---|
B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | ||
T1-T2 | ||||||||||
LMA | Paternal educational involvement | - | - | - | -0.11 (0.25) | 0.90 | [0.55, 1.47] | 0.06 (0.46) | 1.06 | [0.43, 2.60] |
Maternal educational involvement | - | - | - | -0.31 (0.30) | 0.73 | [0.41, 1.31] | -0.80 (0.52) | 0.45 | [0.16, 1.25] | |
HMEA | Paternal educational involvement | -0.17 (0.28) | 0.85 | [0.49, 1.47] | - | - | - | -0.10 (0.35) | 0.90 | [0.45, 1.80] |
Maternal educational involvement | 0.66* (0.32) | 1.93 | [1.03, 3.62] | - | - | - | -0.27 (0.38) | 0.76 | [0.36, 1.61] | |
HMAA | Paternal educational involvement | 0.42 (0.63) | 1.53 | [0.45, 5.19] | 0.19 (0.57) | 1.21 | [0.40, 3.68] | - | - | - |
Maternal educational involvement | 0.18 (0.67) | 1.19 | [0.32, 4.46] | -0.45 (0.60) | 0.64 | [0.20, 2.06] | - | - | - | |
T2-T3 | ||||||||||
LMA | Paternal educational involvement | - | - | - | 0.47 (0.27) | 1.60 | [0.94, 2.71] | -0.43 (0.46) | 0.65 | [0.27, 1.59] |
Maternal educational involvement | - | - | - | -1.14*** (0.31) | 0.32 | [0.18, 0.58] | -0.53 (0.58) | 0.59 | [0.19, 1.83] | |
HMEA | Paternal educational involvement | -0.16 (0.25) | 0.86 | [0.52, 1.40] | - | - | - | -0.21 (0.28) | 0.81 | [0.46, 1.41] |
Maternal educational involvement | 0.20 (0.29) | 1.22 | [0.70, 2.15] | - | - | - | 0.36 (0.33) | 1.44 | [0.75, 2.76] | |
HMAA | Paternal educational involvement | 1.57** (0.54) | 4.79 | [1.65, 13.92] | 0.63 (0.41) | 1.87 | [0.84, 4.16] | - | - | - |
Maternal educational involvement | -0.95 (0.60) | 0.39 | [0.12, 1.26] | -0.44 (0.49) | 0.64 | [0.25, 1.67] | - | - | - |
Table 9 Odds ratio of transition probability under the effect of parental educational involvement of girls
Profiles | Influencing factors | LMA | HMEA | HMAA | ||||||
---|---|---|---|---|---|---|---|---|---|---|
B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | B (SE) | OR | 95% CI | ||
T1-T2 | ||||||||||
LMA | Paternal educational involvement | - | - | - | -0.11 (0.25) | 0.90 | [0.55, 1.47] | 0.06 (0.46) | 1.06 | [0.43, 2.60] |
Maternal educational involvement | - | - | - | -0.31 (0.30) | 0.73 | [0.41, 1.31] | -0.80 (0.52) | 0.45 | [0.16, 1.25] | |
HMEA | Paternal educational involvement | -0.17 (0.28) | 0.85 | [0.49, 1.47] | - | - | - | -0.10 (0.35) | 0.90 | [0.45, 1.80] |
Maternal educational involvement | 0.66* (0.32) | 1.93 | [1.03, 3.62] | - | - | - | -0.27 (0.38) | 0.76 | [0.36, 1.61] | |
HMAA | Paternal educational involvement | 0.42 (0.63) | 1.53 | [0.45, 5.19] | 0.19 (0.57) | 1.21 | [0.40, 3.68] | - | - | - |
Maternal educational involvement | 0.18 (0.67) | 1.19 | [0.32, 4.46] | -0.45 (0.60) | 0.64 | [0.20, 2.06] | - | - | - | |
T2-T3 | ||||||||||
LMA | Paternal educational involvement | - | - | - | 0.47 (0.27) | 1.60 | [0.94, 2.71] | -0.43 (0.46) | 0.65 | [0.27, 1.59] |
Maternal educational involvement | - | - | - | -1.14*** (0.31) | 0.32 | [0.18, 0.58] | -0.53 (0.58) | 0.59 | [0.19, 1.83] | |
HMEA | Paternal educational involvement | -0.16 (0.25) | 0.86 | [0.52, 1.40] | - | - | - | -0.21 (0.28) | 0.81 | [0.46, 1.41] |
Maternal educational involvement | 0.20 (0.29) | 1.22 | [0.70, 2.15] | - | - | - | 0.36 (0.33) | 1.44 | [0.75, 2.76] | |
HMAA | Paternal educational involvement | 1.57** (0.54) | 4.79 | [1.65, 13.92] | 0.63 (0.41) | 1.87 | [0.84, 4.16] | - | - | - |
Maternal educational involvement | -0.95 (0.60) | 0.39 | [0.12, 1.26] | -0.44 (0.49) | 0.64 | [0.25, 1.67] | - | - | - |
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