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- Variance abstract "In probability theory and statistics, variance measures how far a set of numbers is spread out. A variance of zero indicates that all the values are identical. Variance is always non-negative: a small variance indicates that the data points tend to be very close to the mean (expected value) and hence to each other, while a high variance indicates that the data points are very spread out around the mean and from each other.An equivalent measure is the square root of the variance, called the standard deviation. The standard deviation has the same dimension as the data, and hence is comparable to deviations from the mean.There are two distinct concepts that are both called "variance". One variance is a characteristic of a set of observations. The other is part of a theoretical probability distribution and is defined by an equation. When variance is calculated from observations, those observations are either measured from a real world system or generated by a theoretical probability distribution or other generating model. If all possible observations of the system are present then the calculated variance is called the population variance. Normally, however, only a subset is available, and the variance calculated from this is called the sample variance. The variance calculated from a sample is considered an estimate of the full population variance. There are multiple ways to calculate an estimate of the population variance, as discussed in the section below.The two kinds of variance are closely related. To see how, consider that a theoretical probability distribution can be used as a generator of observations. If an infinite number of observations are generated using a distribution, then the sample variance calculated from that infinite set will match the value calculated using the distribution's equation for variance.The variance is one of several descriptors of a probability distribution. In particular, the variance is one of the moments of a distribution. In that context, it forms part of a systematic approach to distinguishing between probability distributions. While other such approaches have been developed, those based on moments are advantageous in terms of mathematical and computational simplicity.".
- Variance wikiPageID "32344".
- Variance wikiPageLength "45227".
- Variance wikiPageOutDegree "180".
- Variance wikiPageRevisionID "683787902".
- Variance wikiPageWikiLink Algorithms_for_calculating_variance.
- Variance wikiPageWikiLink Analysis_of_variance.
- Variance wikiPageWikiLink Average_absolute_deviation.
- Variance wikiPageWikiLink Bessels_correction.
- Variance wikiPageWikiLink Bhatia–Davis_inequality.
- Variance wikiPageWikiLink Bias_of_an_estimator.
- Variance wikiPageWikiLink Biased_estimator.
- Variance wikiPageWikiLink Binomial_distribution.
- Variance wikiPageWikiLink Biometry.
- Variance wikiPageWikiLink Biostatistics.
- Variance wikiPageWikiLink Bootstrapping_(statistics).
- Variance wikiPageWikiLink Box_test.
- Variance wikiPageWikiLink Box–Anderson_test.
- Variance wikiPageWikiLink Cantor_distribution.
- Variance wikiPageWikiLink Capon_test.
- Variance wikiPageWikiLink Catastrophic_cancellation.
- Variance wikiPageWikiLink Category:Articles_containing_proofs.
- Variance wikiPageWikiLink Category:Data_analysis.
- Variance wikiPageWikiLink Category:Statistical_deviation_and_dispersion.
- Variance wikiPageWikiLink Category:Theory_of_probability_distributions.
- Variance wikiPageWikiLink Cauchy_distribution.
- Variance wikiPageWikiLink Central_limit_theorem.
- Variance wikiPageWikiLink Central_moment.
- Variance wikiPageWikiLink Chebyshevs_inequality.
- Variance wikiPageWikiLink Chi-squared_distribution.
- Variance wikiPageWikiLink Chi-squared_test.
- Variance wikiPageWikiLink Chi_square_test.
- Variance wikiPageWikiLink Classical_mechanics.
- Variance wikiPageWikiLink Classical_test_theory.
- Variance wikiPageWikiLink Cochrans_theorem.
- Variance wikiPageWikiLink Common-method_variance.
- Variance wikiPageWikiLink Complex_conjugate.
- Variance wikiPageWikiLink Complex_number.
- Variance wikiPageWikiLink Concave_function.
- Variance wikiPageWikiLink Conditional_expectation.
- Variance wikiPageWikiLink Conditional_variance.
- Variance wikiPageWikiLink Conjugate_transpose.
- Variance wikiPageWikiLink Consistent_estimator.
- Variance wikiPageWikiLink Continuous_distribution.
- Variance wikiPageWikiLink Continuous_random_variable.
- Variance wikiPageWikiLink Correlated.
- Variance wikiPageWikiLink Correlation.
- Variance wikiPageWikiLink Correlation_and_dependence.
- Variance wikiPageWikiLink Covariance.
- Variance wikiPageWikiLink Covariance_matrix.
- Variance wikiPageWikiLink Cronbachs_alpha.
- Variance wikiPageWikiLink Cumulant.
- Variance wikiPageWikiLink Cumulative_distribution_function.
- Variance wikiPageWikiLink Data_set.
- Variance wikiPageWikiLink Definite_integral.
- Variance wikiPageWikiLink Delta_method.
- Variance wikiPageWikiLink Dice.
- Variance wikiPageWikiLink Discrete_probability_distribution.
- Variance wikiPageWikiLink Discrete_random_variable.
- Variance wikiPageWikiLink Distance_correlation.
- Variance wikiPageWikiLink Distance_variance.
- Variance wikiPageWikiLink Downside_risk.
- Variance wikiPageWikiLink Estimation_of_covariance_matrices.
- Variance wikiPageWikiLink Estimation_theory.
- Variance wikiPageWikiLink Estimator.
- Variance wikiPageWikiLink Excess_kurtosis.
- Variance wikiPageWikiLink Expected_value.
- Variance wikiPageWikiLink Explained_variance.
- Variance wikiPageWikiLink Explained_variation.
- Variance wikiPageWikiLink Exponential_distribution.
- Variance wikiPageWikiLink F-test.
- Variance wikiPageWikiLink F_test.
- Variance wikiPageWikiLink Harmonic_mean.
- Variance wikiPageWikiLink Heavy-tailed_distribution.
- Variance wikiPageWikiLink Homoscedasticity.
- Variance wikiPageWikiLink Independence_(probability_theory).
- Variance wikiPageWikiLink Integral.
- Variance wikiPageWikiLink Invariant_(mathematics).
- Variance wikiPageWikiLink Investment.
- Variance wikiPageWikiLink Irénée-Jules_Bienaymé.
- Variance wikiPageWikiLink Jensens_inequality.
- Variance wikiPageWikiLink Klotz_test.
- Variance wikiPageWikiLink Kurtosis.
- Variance wikiPageWikiLink Law_of_large_numbers.
- Variance wikiPageWikiLink Law_of_total_variance.
- Variance wikiPageWikiLink Lehman_test.
- Variance wikiPageWikiLink Linear_combination.
- Variance wikiPageWikiLink Linear_regression.
- Variance wikiPageWikiLink Location_parameter.
- Variance wikiPageWikiLink Loss_of_significance.
- Variance wikiPageWikiLink Mean.
- Variance wikiPageWikiLink Mean-preserving_spread.
- Variance wikiPageWikiLink Mean_absolute_difference.
- Variance wikiPageWikiLink Mean_absolute_error.
- Variance wikiPageWikiLink Mean_preserving_spread.
- Variance wikiPageWikiLink Mean_square_error.
- Variance wikiPageWikiLink Mean_squared_error.
- Variance wikiPageWikiLink Measurement_error.
- Variance wikiPageWikiLink Median.
- Variance wikiPageWikiLink Moment_(mathematics).