@article{oai:chuo-u.repo.nii.ac.jp:00001208, author = {MORIYA, Junji and SUGIYAMA, Takakazu and FUJIKOSHI, Yasunori}, journal = {中央大学理工学研究所論文集}, month = {Mar}, note = {application/pdf, This paper is concerned with selection of some linear structure models with different variances. The models are based on the study of relationships between two fracture toughness testing methods of dental luting cemments. The measurements are made by using several kinds of materials. They are assumed to have different variances depending on the materials, but they have the same variance between two testing methods. For such data, we consider three types of structures between two methods: (1) proportionality, (2) linearity, and (3) no structure. We give Akaike information criterion, AIC, to evaluate these models. Then, we derive corrected AIC (CAIC) which is useful for small samples. By simulation experiments, we find that CAIC is more effective than AIC in the case of small samples. Our results are applied to a real data of dental luting cements., 【査読有】}, pages = {1--9}, title = {Selection for linear structure models with different variances}, volume = {15}, year = {2010} }