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Aim to industrial product parameter's measurement and dependability analysis, the technology of machine vision and mathematical statistics were applied to verify and analyze product optical image central deviating from optical axis position distribution, the center of product image deviating from optical axis would bring great measure error. To reduce those errors, this paper proposes a method of hypothesis testing to analyze the position distribution about center of product optical image deviating from optical axis. According to the optical image calculation processing arithmetic, the performance of optical system and its affect on product's parameter measurement was studied. The position distribution about the center of product image optical central deviating from optical axis is tested by normal distribution, Raleigh distribution and exponential distribution. The results show that exponential distribution is relatively reasonable.