|
A statistic which assigns a single number to several individual statistics in order to quantify trends. The best-known
index in the United States is the consumer price index, which gives a sort of "average"
value for inflation based on price changes for a group of selected products. The
Dow Jones and NASDAQ indexes for the New York and American Stock Exchanges, respectively,
are also index numbers.
Let be the price per unit in period , be the quantity
produced in period , and be the
value of the units. Let be the estimated
relative importance of a product. There are several types of indices defined, among
them those listed in the following table.
Fisher, I. The Making of Index Numbers: A Study of Their Varieties, Tests
and Reliability, 3rd ed. New York: Augustus M. Kelly, 1967.
Kenney, J. F. and Keeping, E. S. "Index Numbers." Ch. 5 in Mathematics of Statistics, Pt. 1, 3rd ed. Princeton,
NJ: Van Nostrand, pp. 64-74, 1962.
Mudgett, B. D. Index Numbers. New York: Wiley, 1951.
|