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Cluster Analysis Algorithm-Oriented Identification of Key Issues and Construction of Practical Paths for Modernization of Vocational Education Governance

Fan Li

Fan Li

Faculty of Economics and Trade, Guangdong Polytechnic of Industry and CommerceGuangzhou, China
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Li, Fan
  
24 mar 2025
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Publicado en línea: 24 mar 2025
Recibido: 24 nov 2024
Aceptado: 25 feb 2025
DOI: https://doi.org/10.2478/amns-2025-0702
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© 2025 Fan Li, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Key issues identify practical paths
Key issues identify practical paths

Figure 2.

The results of the results of the clustering algorithm
The results of the results of the clustering algorithm

Figure 3.

The optimal clustering number analysis results
The optimal clustering number analysis results

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
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