Cluster Analysis Algorithm-Oriented Identification of Key Issues and Construction of Practical Paths for Modernization of Vocational Education Governance
Mar 24, 2025
About this article
Published Online: Mar 24, 2025
Received: Nov 24, 2024
Accepted: Feb 25, 2025
DOI: https://doi.org/10.2478/amns-2025-0702
Keywords
© 2025 Fan Li, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Figure 1.
Figure 2.
Figure 3.
Descriptive statistical analysis results
| Index | N | Minimum value | Maximum value | Mean value | Standard deviation |
|---|---|---|---|---|---|
| Management level | 19 | 0.39 | 4.85 | 2.42 | 0.67 |
| Student development | 19 | 0.16 | 4.45 | 3.19 | 0.4 |
| Education teaching | 19 | 0.52 | 4.67 | 2.47 | 0.17 |
| Production fusion | 19 | 0.87 | 4.44 | 2.94 | 0.99 |
| Policy security | 19 | 0.92 | 4.05 | 3.49 | 0.61 |
| Education management effect | 19 | 0.71 | 4.69 | 2.25 | 0.79 |
| Employment quality of graduates | 19 | 0.01 | 4.28 | 3.28 | 0.48 |
| Personal growth of teachers | 19 | 0.46 | 4.85 | 2.15 | 0.61 |
| Effect of production and education | 19 | 0.11 | 4.29 | 2.73 | 0.41 |
| Policy execution effect | 19 | 0.8 | 4.46 | 3.09 | 0.14 |
Education governance improvement difference analysis
| Cluster | Stage | A | B | C | D | E | F | G | H | I | J | P |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Before | 4.83 | 4.87 | 4.29 | 4.72 | 4.92 | 4.35 | 4.82 | 4.59 | 4.44 | 4.62 | 0.062 |
| After | 4.91 | 4.91 | 4.98 | 4.94 | 5.00 | 4.99 | 4.98 | 4.94 | 5.00 | 4.92 | ||
| 2 | Before | 3.13 | 3.54 | 3.69 | 3.34 | 4.32 | 3.26 | 4.03 | 3.03 | 3.53 | 4.03 | 0.051 |
| After | 4.4 | 4.2 | 4.17 | 4.44 | 4.58 | 4.26 | 4.18 | 4.14 | 4.37 | 4.03 | ||
| 3 | Before | 2.8 | 2.04 | 2.63 | 2.13 | 3.94 | 2.16 | 3.74 | 1.98 | 3.61 | 3.69 | 0.048 |
| After | 4.1 | 3.92 | 4.19 | 3.50 | 4.13 | 4.23 | 3.7 | 4.07 | 4.09 | 3.72 | ||
| 4 | Before | 0.59 | 4.97 | 0.91 | 4.14 | 3.44 | 1.26 | 2.55 | 1.11 | 1.51 | 1.86 | 0.026 |
| After | 3.74 | 4.98 | 3.49 | 4.26 | 3.78 | 3.57 | 3.86 | 3.72 | 3.6 | 3.45 | ||
| 5 | Before | 0.75 | 0.53 | 0.83 | 0.37 | 0.83 | 0.22 | 1.26 | 0.04 | 0.56 | 1.25 | 0.014 |
| After | 3.4 | 3.34 | 2.36 | 2.22 | 2.77 | 2.02 | 2.65 | 2.08 | 3.38 | 3.28 |
ANOVA analysis of cluster analysis
| Index | Clustering | Error | F | Sig. | ||
|---|---|---|---|---|---|---|
| Mean square | Freedom | Mean square | Freedom | |||
| Management level | 4.281 | 4 | 0.025 | 14 | 1.653 | 0.000 |
| Student development | 4.124 | 4 | 0.039 | 14 | 2.867 | 0.000 |
| Education teaching | 4.266 | 4 | 0.045 | 14 | 2.991 | 0.000 |
| Production fusion | 3.556 | 4 | 0.03 | 14 | 1.251 | 0.000 |
| Policy security | 4.995 | 4 | 0.067 | 14 | 1.825 | 0.000 |
| Education management effect | 2.154 | 4 | 0.057 | 14 | 2.221 | 0.000 |
| Employment quality of graduates | 2.639 | 4 | 0.024 | 14 | 1.366 | 0.000 |
| Personal growth of teachers | 4.188 | 4 | 0.068 | 14 | 2.397 | 0.000 |
| Effect of production and education | 2.685 | 4 | 0.049 | 14 | 2.535 | 0.000 |
| Policy execution effect | 2.776 | 4 | 0.031 | 14 | 2.169 | 0.000 |
The average of different clustering indices
| Index | Cluster 1 (n=2) | Cluster 2 (n=4) | Cluster 3 (n=3) | Cluster 4 (n=5) | Cluster 5 (n=5) |
|---|---|---|---|---|---|
| Management level | 4.83 | 3.13 | 2.8 | 0.59 | 0.75 |
| Student development | 4.87 | 3.54 | 2.04 | 4.97 | 0.53 |
| Education teaching | 4.29 | 3.69 | 2.63 | 0.91 | 0.83 |
| Production fusion | 4.72 | 3.34 | 2.13 | 4.14 | 0.37 |
| Policy security | 4.92 | 4.32 | 3.94 | 3.44 | 0.83 |
| Education management effect | 4.35 | 3.26 | 2.16 | 1.26 | 0.22 |
| Employment quality of graduates | 4.82 | 4.03 | 3.74 | 2.55 | 1.26 |
| Personal growth of teachers | 4.59 | 3.03 | 1.98 | 1.11 | 0.04 |
| Effect of production and education | 4.44 | 3.53 | 3.61 | 1.51 | 0.56 |
| Policy execution effect | 4.62 | 4.03 | 3.69 | 1.86 | 1.25 |