In the last decade, a modeling technique has been developed to handle complex input/output analyses where outputs involve joint products and there are no known mathematical relationships linking the outputs or inputs. The technique uses the geometrical concept of a six-dimensional shape called a polytope to analyze the efficiency of each…

This paper models the educational process by a system of simultaneous equations. The endogenous variables (educational outputs) are a pupil's achievement, participation in a college preparatory program, need for achievement (aspirations), demonstrated motivation (effort), expectations, self-esteem, belief in his ability to control his environment…