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This study investigates the relations between several factors of question items in English vocabulary tests and the corresponding item difficulty. Designing the item difficulty of a test impacts the quality of the test itself. Our goal is suggesting a way to control the item difficulty of questions generated by computers. To achieve this goal we conducted correlation and regression analyses on several potential factors of question items and their item difficulty obtained through experiments. The analyses revealed that several item factors correlated with the item difficulty, and up to 59% of the item difficulty can be explained by a combination of item factors.