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Reduced chi-squared statistic

Index Reduced chi-squared statistic

In statistics, the reduced chi-squared statistic is used extensively in goodness of fit testing. [1]

13 relations: Chi-squared distribution, Confidence region, Degrees of freedom (statistics), Goodness of fit, Linear least squares (mathematics), List of statistics articles, Mean squared error, Ordinary least squares, Standard error, Statistics, Sum of squares, Variance, Weighted arithmetic mean.

Chi-squared distribution

No description.

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Confidence region

In statistics, a confidence region is a multi-dimensional generalization of a confidence interval.

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Degrees of freedom (statistics)

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

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Goodness of fit

The goodness of fit of a statistical model describes how well it fits a set of observations.

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Linear least squares (mathematics)

In statistics and mathematics, linear least squares is an approach to fitting a mathematical or statistical model to data in cases where the idealized value provided by the model for any data point is expressed linearly in terms of the unknown parameters of the model.

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List of statistics articles

No description.

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Mean squared error

In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures the average of the squares of the errors—that is, the average squared difference between the estimated values and what is estimated.

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Ordinary least squares

In statistics, ordinary least squares (OLS) or linear least squares is a method for estimating the unknown parameters in a linear regression model.

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Standard error

The standard error (SE) of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution or an estimate of that standard deviation.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Sum of squares

In mathematics, statistics and elsewhere, sums of squares occur in a number of contexts.

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Variance

In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean.

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Weighted arithmetic mean

The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average), except that instead of each of the data points contributing equally to the final average, some data points contribute more than others.

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Redirects here:

Chi-squared per degree of freedom, Mean Square Weighted Deviation MSWD, Mean square weighted deviation, Reduced chi-square, Reduced chi-squared, Regression standard error, Standard error of the regression, Variance of unit weight, Weighted mean square deviation.

References

[1] https://en.wikipedia.org/wiki/Reduced_chi-squared_statistic

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