用模拟方法确定因子分析中因子数的实证研究

摘要

The appropriate use of unidimensional and multidimensional IRT requires the knowledge of the correct number of constructs assessed by an educational measurement. Factor analysis may be used to determine the num-ber of constructs( or factors)that a set of test items really measures by providing a description of the underlying structure of the test. Several rules have been suggested by researchers about how to decide the number of factors to retain in factor analysis. It should be noted that there are a number of variables that contribute to the inaccura-cy and inconsistency of the decision rules. The study suggests a simulation method for selecting the appropriate rule to decide the number of factors for a specific data set.%在1维或多维项目反应理论中，正确地决定教育评估考试的维度非常重要。通过分析考试的潜在结构，因子分析可以帮助分析考试的维度。在因子分析中有多种方法决定因子数目。但值得注意的是较多变量可以影响这些方法的准确性。该文提出了一种在因子分析中对特定的数据最准确决定因子数的模拟方法。