Why Resistor Burn Again?
Sometimes when you found a bad resistor you really need to check where the resistor is connected to. The resistor can open by itself after few years of service or it can be due to bad corresponding components. If the newly replaced resistor gets hot then you should check the components along that resistor line.
Shorted capacitor, leaky transistor, diode and IC could cause the resistor to gets hot and burn again after turning the set on for sometime. It could also be due to other component like flyback transformer (if you are in CRT Monitor/TV repair) and etc.
In certain cases, the problem is not in the bad corresponding components in fact it was due to design problem. If you found a bad resistor say 1/4 watt had an open circuit you can always replace it with a 1/2 watt or even 1 watt resistor and the new replacement resistor will surely last longer.