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中文摘要：
在一些测量过程中,测量仪器测得的数据是二维的,且设计容差为一个圆,当二元被测质量特性具有相关性时,无法直接利用常用的一元测量系统能力评价指数对圆形设计容差的二元测量系统进行分析和评价。提出了一种基于面积之比构造评价指数的方法,利用测量误差椭圆面积与设计容差圆面积之比和测量误差与测量值的椭圆面积之比建立测量系统能力评价指数,将常见的一元测量系统能力指数延伸到二元测量系统中,通过多元方差分析（MANOVA）估计评价指数来评价二元测量系统的能力。通过实例对该方法进行了验证。
英文摘要：
In some measurement processes the measured data by a gauge are two-dimensional and the de-sign tolerance is a circular.When there is some correlation between two measured quality characteristics,the common evaluation indices for univariate measurement system capability cannot be applied directly to analyze and evaluate the two-dimensional measurement system capability with circular tolerance.A method of con-structing evaluation indices based on ratios of areas was proposed herein.The measurement system capability evaluation indices were built through the area ratio of ellipse of gauge errors and circular of design tolerance, the ellipse area ratio of gauge error and measured values.Then the common evaluation indices for univariate measurement system capability could be extended to the two-dimensional measurement system.MANOVA was used to estimate the indices to assess the two-dimensional measurement system capability.At last the proposed method was proved by an example.
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