In the past, most relevant papers which evaluated efficiency used the quantification data as the variable. Ignoring the qualitative variables , such as professional ability, service quality and policy quality. Therefore, this paper takes the ratio of claims and the ratio of cancellation and lapse which measure efficiency into output variables as another index. So, this paper used the data envelopment analysis of the nonparametric approach as fundamental structure, extending other evaluating efficiency approaches which include graph efficiency measurement and directional output distance function, in order to treat the problem which is in the presence of desirable outputs and undesirable outputs simultaneously. In addition, the past papers evaluated efficiency by single year, and considered input variables as variable which could not learn operational performance clearly in the intertemporal period. Hence, this paper excepts for utilizing the above-mentioned two approaches (Graph efficiency measurement and directional output distance function) to measure efficiency in the presence of quality data, this paper will consider output variables and input variables which including quasi-fixed inputs and variable inputs to calculate the technical efficiency and overall efficiency of each life insurance company using DEA in the intertemporal period, and discuss that the empirical results whether or not exist the significant difference as if the input variables include quasi-fixed inputs..