Electric polarisation of pellets, films or thin film basically same. All depends on the field strength. The difference in these three different dimensions are only due to the geometrical structure and the contact surface.
Pellet : Pellets are generally of circular structure, sometimes rectangular. The fringing out of electric field depends on the surface geometry and surface area ( continuity of E and D). The thickness is another cause of fringing. For films, the thickness is very less ( about 100 nano meter for thin films) and fringing out of Electric field is very less.
Unless, the bulk dielectric property is changed due to reduced dimension( nano property) , there will be no change of dielectric polarisation for these three cases. ( I am considering the samples are homogenous)
Subhasri Subudhi Only your breakdown strength might vary. Polarization values will not have much difference if the samples are homogenous in nature. But mostly the samples are ideally not homogenous due to which the dielectric properties change and thus a change in polarization is observed. I would suggest you to prepare the samples with a fixed thickness and then carry out your analysis.