It is said that there is few hotels in Japan who use the facility of fire-alarming system. The reason of that are too many errors called the error of first-kind, i.e. giving an alarm where there is no fire. How to design a good multi-variate sensing system is introduced in this article by using Mahalanobis Distance and Signal-to-Noise Ratio. The method would be one of the most important software technologies in future. The methods stated here are also related with pattern-recognition discussed next.