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Data analysis reflecting the social politics, economy, public opinion and the management of public sentiment, especially those in such areas based on questionnaire survey, often need to study the main factors affecting a problem. The traditional statistical analysis method is to count the factor which is selected most frequently among those influencing a question, which is dee me d as the most principal factors. But the principal factors are not necessarily sensitive factors, that is, a sensitive factor is not necessarily often highest selected factors. An entropy based method is proposed to determine the sensitive factors, and the analysis of multiple choices in questionnaire survey is selected for the empirical study, the calculation method of sensitive factors and its significance is discussed.