Dynamic factor

In econometrics, a dynamic factor (also known as a diffusion index) is a series which measures the co-movement of many time series.

Diffusion indexes were originally designed to help identify business cycle turning points.

[2] A diffusion index of monthly employment levels across industries measures the degree to which a growth in employment levels in a population is made up of growth in all industries versus sharp growth in just a few industries.

In one published data series on that design, the diffusion index is computed from a panel of discrete time series by assigning a value of 0 to an observation if it is lower than its analog in the previous month, 50 if it is at the same level, and 100 if it has increased.

Relative to the equation above, the underlying factors

are drawn from the values {0, 50, 100} based on employment changes, and the diffusion index

works out to be the percentage of these employment counts that increased in the previous month.

Some researchers have reported that a diffusion index of monthly manufacturing-sector employment is a leading indicator of turning points in the business cycle.