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This study aims to obtain a model relationship determinant factors that affect the productivity of vocational education. Data collection is done by using instruments that have been tested for validity and reliability. The study population is a graduate of vocational education in West Sumatra. Sampling technique using simple random sampling, with data source of research include 290 respondents graduate vocational education from Universitas Negeri Padang, Politeknik Negeri Padang and Politeknik Pertanian Negeri Payakumbuh. Data were analyzed by asymptotic covariance matrix estimation through structural model with LISREL 8.80. The result of the research reveals as follows: there are factors that have a positive and significant effect on the productivity of vocational education, namely: (a) managerial leadership has a direct effect, and indirectly influences through academic atmosphere, lecturer competence, learning system and learning process; (b) the academic atmosphere has an indirect effect through lecturer competence, learning system and learning process; (c) lecturer competence has an indirect effect through learning system and learning process; (d) the learning system has an indirect effect through the learning process; (e) learning process have direct effect, while managerial leadership and learning process together can explain vocational education productivity equal to 45,8% and the remaining 44.2% influenced by other variables outside the model. Keywords—productivity of vocational education; managerial leadership, academic lecturer competence; learning system; learning process

The Structural Models of the Determinant Variables that Influence the Productivity of Vocational Education