The factor score automatically calculated by factor analysis is standardized analysis, with an average of 0 and a standard deviation of 1.

The mathematical model of factor analysis is that variables (or samples) are expressed as linear combinations of main factors, but sometimes the main factors need to be expressed as linear combinations of original variables in turn, that is, Fi=βi 1x 1+βi2x2+? +βipxp，i= 1，2，？ M, called the above formula Fi as the factor score function, referred to as factor score. Because Fi is an unobservable factor, it can only be estimated. The methods of estimating factor score include weighted least square method (this estimation is also called bartlett factor score), regression method, Thomson factor score method and so on.