层次线性模型与教学效益评价

HIERACHICAL LINEAR MODEL AND TEACHING-EFFECT EVALUATION

各个教学点单独估得的效益值不尽相同甚至是矛盾的.本文采用层次线性模型和经验Bayes方法,将教学效益看成是随机的而综合求得教学效益的估计值.本文还证明了在给定条件下条件正态变量与条件变量(亦服从正态分布)的联合分布仍为正态分布.最后给出了算法的框图和例子.

There are differences or contradiction among the effect estimates in teaching-effect tvaluation. Taking the viewpoint of Bayes and radomizing the teaching effect, this paper constructs an algorithm by means of Hierachical Linear Model ( HLM ) and empirical Bayesian method. The flow chart is proposed with illustrative example. In the context, it is proved that under certain conditions, the joint distribution of conditional normal variable z and condition variable with normal distribution is still that of multi-normal variable.