Out of idle interest, why would you want your thermistor temperature reading to be accurate to better than 1%. There is much confusion about the measurement term "accuracy".
Accuracy relates to comparison against a national standard, which from the layman's point of view, is generally irrelevant.
What is generally required is "repeatability" not "accuracy". A repeatable device means that several readings taken at different times of 'exactly' the same value will give repeatable results. These measurements may not be 'accurate' but they are consistent.