total sum of squares
1Total sum of squares — The value of the total sum of squares (TSS) depends on the data being analyzed and the test that is being done.In statistical linear models, (particularly in standard regression models), the TSS is the sum of the squares of the difference of the… …
2Sum of squares — is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the sum of the squared deviations . Mathematically, it is an unscaled, or unadjusted measure of dispersion (also called variability). When …
3Explained sum of squares — In statistics, an explained sum of squares (ESS) is the sum of squared predicted values in a standard regression model (for example y {i}=a+bx {i}+epsilon {i}), where y {i} is the response variable, x {i} is the explanatory variable, a and b are… …
4Residual sum of squares — In statistics, the residual sum of squares (RSS) is the sum of squares of residuals. It is the discrepancy between the data and our estimation model. The smaller this discrepancy is, the better the estimation will be.:RSS = sum {i=1}^n (y i f(x… …
5Total least squares — The bivariate (Deming regression) case of Total Least Squares. The red lines show the error in both x and y. This is different from the traditional least squares method which measures error parallel to the y axis. The case shown, with deviations… …
6Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …
7Total harmonic distortion — The total harmonic distortion, or THD, of a signal is a measurement of the harmonic distortion present and is defined as the ratio of the sum of the powers of all harmonic components to the power of the Fundamental frequency.Lesser THD, for… …
8Least squares — The method of least squares is a standard approach to the approximate solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns. Least squares means that the overall solution minimizes the sum of… …
9Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression …
10Linear least squares/Proposed — Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to observations obtained from experiments. Mathematically, it can be stated as the problem of… …
