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Define "sensitivity." Do you mean "accuracy" or "repeatability"? "Lag"?
The main cause of error with thermistors, IMO, would be that the R vs T curve is non-linear, so most of the error would be calculating the temperature for a given R.
As I've heard it said, most temperature measurement devices are not super-accurate as it is usually not necessary to get super-accurate temperature measurements.
You could increase your performance by making sure the thermistor leads are short, use precision resistors in your voltage divider, make sure your A to D is ratiometric, maybe use a low pass filter.
The thermistor is a non-linear, negative temperature coefficient resistance. If you look up the data sheet for a typical thermister, the resistance change with temperature is high at low temperatures ( and consequently less accurate). The thermistor value is given at 25 deg C and is usually in the middle of the curve where the rate of change of resistance with temperature is moderate. It is common practice to put a linear resistor in parallel with the thermistor to linearize it.
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