Factor analysis for Bernoulli variables and its application in the survey of the high school mathematics textbooks in Iran

Nowadays factor analysis has been extended greatly, and one of its applications is to analysis the attributes which are not measurable directly. While the response variable has a Bernoulli distribution, using factor analysis method for continuous quantities leads to invalid and misleading results. Factor analysis for Bernoulli response variable base on Logit model is developed in this paper and its applications have been explained for read data from a research project about the high school mathematics textbooks in Iran.