least squares


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least squares

pl.n. Statistics
A method of determining the curve that best describes the relationship between expected and observed sets of data by minimizing the sums of the squares of deviation between observed and expected values.

least squares

n
(Mathematics) a method for determining the best value of an unknown quantity relating one or more sets of observations or measurements, esp to find a curve that best fits a set of data. It states that the sum of the squares of the deviations of the experimentally determined value from its optimum value should be a minimum

least′ squares′


n.
a statistical method of estimating values from a set of observations by minimizing the sum of the squares of the differences between the observations and the values to be found.
Also called least′-squares′ meth`od.
[1860–65]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.least squares - a method of fitting a curve to data points so as to minimize the sum of the squares of the distances of the points from the curve
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
statistical method, statistical procedure - a method of analyzing or representing statistical data; a procedure for calculating a statistic
References in periodicals archive ?
Partial least squares regression is applied to establish the statistical relationship between the dependent variable.
Partial least squares calibration models showed correlation coefficients of greater than 0.
DELTA]g] can be calculated using the Fast Fourier Transform or the least squares collocation method (Lyszkowicz, 2012; Krynski, 2007).
The trend items can be online eliminated in real-time by use of the windowed recursive least squares method.
o]): Belgium has a Unit Root (1980-2012) ADF Test Results ADF Test Equation Statistics: Least Squares ADF test statistic Critical level Critical values Variable -2.
Referring to the nonlinearity problem, Kmenta (Kmenta, 1971) asserts that the difference between the linear (usual) method of least squares and the same method in the nonlinear case, is due to the fact that, in the linear case, the estimator can be expressed as a linear function of disturbances (errors), what is not possible, in general, in the nonlinear case.
Recursive least squares (RELS) test is applied to check data is stable or not.
Second, in addition to estimating Equation (1) using ordinary least squares (OLS) and log rates, we also use Poisson regressions with standard errors clustered by state.
The minimum and maximum values estimated for least squares means by year-sex combinations were1.
Hult, Ringle, and Sarstedt describe the fundamental aspects of a technique for structural equation modeling (SEM), the variance-based partial least squares SEM (PLS-SEM) approach, as an alternative to covariance-based (CB) SEM.
As both limits are constrained to be parallel to the conditional mean, the width of 95 percent prediction band is held same across time t, which is the constant variability assumption of the least squares.
ERIC Descriptors: Research Design; Bayesian Statistics; Computation; Data; Error of Measurement; Comparative Analysis; Hierarchical Linear Modeling; Least Squares Statistics

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