The impurity effect on both superconducting and normal state properties has been investigated to clarify the dimensionality of the one-electron state. Our previous study showed that fully oxidized Ba2Y(Cu1-xZnx)(3) O-7-delta (BYCZO) shows essentially three-dimensional (3D) behavior. This study extends the work toward more two-dimensional materials, namely oxygen-deficient BYCZO and Bi2Sr2Ca(Cu1-xCox)(2)O-8. The electronic system of the former stays in 3D, while that of the latter behaves essentially in a 2D manner, suggesting that two-dimensionality is irrelevant to high Tc superconductivity.