least squares

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least squares

(lēst skwārz),
A principle of estimation invented by Gauss in which the estimates of a set of parameters in a statistical model are the quantities that minimize the sum of squared differences between the observed values of the dependent variable and the values predicted by the model.

least squares

a method of regression analysis. The line on a graph that best summarizes the relationship between two variables is the one that ensures that there is the least value of the sum of the squares of the deviation between the fitted curve and each of the original data points.
References in periodicals archive ?
Least-squares analysis showed a very modest negative slope and an [r.
179 (a) The values for the high phytoestrogen diet in laboratory 20 were omitted and the least-squares analysis was performed to assess the influence of these data on the overall trend.
At the same time, however, our precision decreases because we have allowed the possibility of more sources of uncertainty than in a standard least-squares analysis.
Standard least-squares analysis leads to a satisfactory weighted profile [chi square] of ~3.
The least-squares analysis of the lattice constant also becomes increasingly unreliable as the refinement locks into peaks associated with rutile as well as yttria.
However, when there is an unmodelled contribution in the diffraction pattern, least-squares analysis gives biased results.

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