We analyze the influence of different finite-size effects in the block
analysis method in off-lattice fluids. In particular we study the iso
thermal compressibility of both a hard-disk fluid and a two-dimensiona
l Lennard-Jones fluid. Special emphasis is put on the importance of th
e size effects related to the choice of the statistical-mechanics ense
mble. For the canonical ensemble we propose an expression that allows
to accurately extrapolate the results of small systems to the thermody
namic limit.