Fitting a Geometric Progression to Frequencies

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Abstract
In certain situations the values in a series of frequency data are expected to follow a geometric progression. A typical example discussed is the number of aphids in successive instars in a sample from a population increasing at a steady rate, when each instar is of equal duration. The common ratio of frequencies expected in this case provides a means of determining the rate of growth of the population. Methods are described for estimating the common ratio, and for testing for departure from the assumed geometric progression. The methods of estimation and tests of significance are illustrated by application to experimental data on Aphis craccivor.

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