Not only carrier concentration but the type of charge carrier that involve in the conduction mechanism of either conductor or semiconductor and also the type semiconductor on the basis of sign of Hall coefficient. This experiment is best example for particle charrecterstic of mater.

In addition, if you do also have the resistivity of the sample, then one can derive the carrier mobility.

Thanks Nagaraja and Kai, but If there is no Hall Effect set up then how to know the carrier concentration, that is my question.

Better find someone with a Hall-setup & willing to collaborate. There is no easy substitute (only now I got the point that you were looking for an alternative). The point is that both carrier concentration and mobility determine resistivity and both may vary with temperature.

Alternatives I could imagine (infrared optical response (Drude tail, if existent)) or the like -- I consider them to be considerably more involved and indirect than actually doing the Hall measurement.

If all you can measure is resistance you need at least one other independent transport measurement because you have both a carrier concentration and a scattering rate to determine, in practice you might also need to find the effective mass. Hall effect gives you that independent measurement. If you can make FETs you can also sometimes infer a carrier density. Optical, heat capacity, and thermoelectric effects can also offer a second independent measure. Nothing is perfect. Even with Hall effect the inferred carrier density will differ from that derived from other measures.

If there's no Hall effect, you can increase the magnetic field strength (what is your maximum B field?) in hopes of seeing a signal. 

You can also use the field effect mobility to calculate a carrier concentration (if you know the resistivity). You can fit the field effect to a variety of sample parameters to determine the mobility (see attached publication). It's a bit more extrinsic of an effect than the Hall effect though. 

Article Intrinsic Electron Mobility Exceeding 1000 cm^2 /(V s) in Mu...