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Statistical property quantifying how much a collection of data is spread out
distribution is stretched or squeezed. Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range. For
Statistical_dispersion
Normalized measure of statistical dispersion
descriptive statistics, the quartile coefficient of dispersion (QCD) is a normalized measure of dispersion and is used to make comparisons within and between
Quartile coefficient of dispersion
Quartile_coefficient_of_dispersion
Statistical dispersion
In astronomy, the velocity dispersion (σ) is the statistical dispersion of velocities about the mean velocity for a group of astronomical objects, such
Velocity_dispersion
Topics referred to by the same term
Look up dispersion or dispersed in Wiktionary, the free dictionary. Dispersion may refer to: Dispersion (finance), a measure for the statistical distribution
Dispersion
Presence of greater variability in a data set than would be expected
presence of greater variability (statistical dispersion) in a data set than would be expected based on a given statistical model. A common task in applied
Overdispersion
Measure of statistical dispersion
descriptive statistics, the interquartile range (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the
Interquartile_range
Normalized measure of the dispersion of a probability distribution
probability theory and statistics, the index of dispersion, dispersion index, coefficient of dispersion, relative variance, or variance-to-mean ratio (VMR)
Index_of_dispersion
observable random variable. statistical dispersion statistical graphics statistical hypothesis testing statistical independence Two events are independent
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Measure of inequality of a statistical distribution
JEE-nee), also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality, the wealth inequality
Gini_coefficient
Type of statistics
or central tendency, such as the arithmetic mean a measure of statistical dispersion like the standard mean absolute deviation a measure of the shape
Summary_statistics
Concept in statistics
the same units as the data. The range provides an indication of statistical dispersion. Robust measures of range include the interdecile range and the
Range_(statistics)
Probability distribution
_{Y}^{2}+\sigma _{Y}^{2}\right)}{\sigma _{Y}^{2}(c-a)}}\end{aligned}}} The statistical dispersion measures are scaled (they do not need to be shifted because they
Beta_distribution
the curvilinear association between the statistical dispersion within individual categories and the dispersion across the whole population or sample. The
Correlation_ratio
Number taken as representative of a list of numbers
minimizing variation from the center. That is, given a measure of statistical dispersion, one asks for a measure of central tendency that minimizes variation:
Average
Summary statistic of variability
absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability. In the general form, the central point can
Average_absolute_deviation
Difference between a variable's observed value and a reference value
deviations are used as measures of statistical dispersion. Standard deviation is a widely used measure of the spread or dispersion of a dataset. It quantifies
Deviation_(statistics)
Topics referred to by the same term
Scatter may refer to: Scattering, in physics, the study of collisions Statistical dispersion or scatter Scatter (modeling), a substance used in the building
Scatter
Topics referred to by the same term
1993 song by Hide Middle 50% or interquartile range, a measure of statistical dispersion Fifty Percent, a Taiwanese affordable fashion brand "Fifty Percent"
50%
Empirical law on the variance of species in a habitat
JSTOR 2256277. Blackman GE (1942) Statistical and ecological studies on the distribution of species in plant communities. I. Dispersion as a factor in the study
Taylor's_law
The variation ratio is a simple measure of statistical dispersion in nominal distributions; it is the simplest measure of qualitative variation. It is
Variation_ratio
Distinction between nominal, ordinal, interval and ratio variables
and the coefficient of variation are allowed to measure statistical dispersion. All statistical measures are allowed because all necessary mathematical
Level_of_measurement
Statistical measure of variability
median absolute deviation is a measure of statistical dispersion. Moreover, the MAD is a robust statistic, being more resilient to outliers in a data
Median_absolute_deviation
Measure of variation in statistics
certain sense, the standard deviation is a "natural" measure of statistical dispersion if the center of the data is measured about the mean. This is because
Standard_deviation
Statistical measure
ninth deciles (10% and 90%). The interdecile range is a measure of statistical dispersion of the values in a set of data, similar to the range and the interquartile
Interdecile_range
Statistical measure of how far values spread from their average
In probability theory and statistics, variance is a measure of dispersion, meaning it is a measure of how far a set of numbers are spread out from their
Variance
Concept in inferential statistics
In statistical hypothesis testing, a result has statistical significance when a result at least as extreme would be very infrequent if the null hypothesis
Statistical_significance
Mathematical simulation of how air pollutants disperse in the ambient atmosphere
black carbon) and for epidemiological studies statistical land-use regression models are also used. Dispersion models are important to governmental agencies
Atmospheric dispersion modeling
Atmospheric_dispersion_modeling
Statistical indicators of the deviation of a sample
statistics, robust measures of scale are methods which quantify the statistical dispersion in a sample of numerical data while resisting outliers. These are
Robust_measures_of_scale
Factor of lower probability in measurement
In metrology, measurement uncertainty is the expression of the statistical dispersion of the values attributed to a quantity measured on an interval or
Measurement_uncertainty
American statistician
Central University. Her research interests include count data and statistical dispersion. She was recognized by Mathematically Gifted & Black as a Black
Kimberly_Weems
Statistical measure
the sample size grows. Various measures of statistical dispersion satisfy these. In order to make the statistic a consistent estimator for the scale parameter
Scale_parameter
Diagnostic plot of binary classifier ability
of credit scoring. It should not be confused with the measure of statistical dispersion also called Gini coefficient. the area between the full ROC curve
Receiver operating characteristic
Receiver_operating_characteristic
Procedure to estimate standard deviation from a sample
sample of an estimated value of the standard deviation (a measure of statistical dispersion) of a population of values, in such a way that the expected value
Unbiased estimation of standard deviation
Unbiased_estimation_of_standard_deviation
Study of collection and analysis of data
or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups
Statistics
Heuristic in folk statistics
fears in the Ukrainian society (by about 64%) and also in their statistical dispersion (by 29%) during the pre-crisis years. Vladimir Arnold in his book
Anna_Karenina_principle
Topics referred to by the same term
body dysmorphic disorder Mean absolute difference, a measure of statistical dispersion Mesoscale discussion, in Storm Prediction Centers and Weather Prediction
MD
Process of using data analysis for predicting population data from sample data
Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution. Inferential statistical analysis
Statistical_inference
Statistical characterization of distribution functions
Muñoz-Pérez and A. Sánchez-Gómez in 1990 as a tool for studying statistical dispersion and inducing a partial ordering of distributions. Let X {\displaystyle
Dispersion_function
Measure of goodness of fit for a statistical model
statistics, deviance is a goodness-of-fit statistic for a statistical model; it is often used for statistical hypothesis testing. It is a generalization
Deviance_(statistics)
Reciprocal of the statistical variance
{\displaystyle p={\frac {1}{\sigma ^{2}}}} . Other summary statistics of statistical dispersion also called precision (or imprecision) include the reciprocal of
Precision_(statistics)
Method of quality control
Statistical process control (SPC) or statistical quality control (SQC) is the application of statistical methods to monitor and control the quality of
Statistical_process_control
Set of probability distributions
of the natural exponential family. Exponential dispersion models play an important role in statistical theory, in particular in generalized linear models
Exponential_dispersion_model
Topics referred to by the same term
statistical measure of variability Mean absolute difference, a measure of statistical dispersion Mad TV, a 1995–2009 US series The Mad, a 2007 Canadian horror/comedy
Mad
Type of statistics
absolute deviation and interquartile range are robust measures of statistical dispersion, while the standard deviation and range are not. Trimmed estimators
Robust_statistics
Method of statistical inference
A statistical hypothesis test is a method of statistical inference used to decide whether the data provide sufficient evidence to reject a particular hypothesis
Statistical_hypothesis_test
Arithmetic mean of the maximum and the minimum
x}{2}}.} The mid-range is closely related to the range, a measure of statistical dispersion defined as the difference between maximum and minimum values. The
Mid-range
Number of occurrences in an experiment or study
averages, such as the mean and median, and measures of variability or statistical dispersion, such as the standard deviation or variance. A frequency distribution
Frequency_(statistics)
Topics referred to by the same term
difference may refer to: Mean absolute difference, a measure of statistical dispersion Mean signed difference, a measure of central tendency Mean deviation
Mean_difference
Topics referred to by the same term
on topological spaces, also known as the hereditary cellularity Statistical dispersion Seafloor spreading, the process leading to continental drift Spread
Spread
Measure of statistical dispersion
statistical dispersion equal to the average absolute difference of two independent values drawn from a probability distribution. A related statistic is
Mean_absolute_difference
Scientific study of politics and social science
public fears in the Ukrainian society (by about 64%) and in their statistical dispersion (by 29%) during the pre-crisis years. A feature shared by certain
Political_science
Topics referred to by the same term
locations exhibits values that differ across the locations Statistical variability, a measure of dispersion in statistics Variability hypothesis, nineteenth century
Variability
Statistical dispersion in nominal distributions
An index of qualitative variation (IQV) is a measure of statistical dispersion in nominal distributions. Examples include the variation ratio or the information
Qualitative_variation
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
and relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution. It is defined
Coefficient_of_variation
Measure of statistical dispersion
of the standard deviation σ, which requires that at least the second statistical moment of the distribution should exist, whereas the other definition
Probable_error
Type of mathematical model
A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from
Statistical_model
and first quartiles (i.e. IQR = Q3 − Q1), which is a measure of statistical dispersion. The two are complementary in sense that if one knows the midhinge
Midhinge
Data visualization
display variation in samples of a statistical population without making any assumptions of the underlying statistical distribution (though Tukey's box
Box_plot
Categorization of data using statistics
When classification is performed by a computer, statistical methods are normally used to develop the algorithm. Often, the individual observations are
Statistical_classification
classification Statistical conclusion validity Statistical consultant Statistical deviance – see deviance (statistics) Statistical dispersion Statistical distance
List_of_statistics_articles
Gas ionization process
characteristics of gas diodes and neon lamps is low, and also the statistical dispersion of breakdown voltages is high, the above formula can only give a
Townsend_discharge
Clock deviation from perfect periodicity
networking, jitter can refer to packet delay variation, the variation (statistical dispersion) in the delay of the packets. One of the main differences between
Jitter
Collection of statistical models
conclusions are reliable in the statistical sense.") Freedman [full citation needed] Montgomery (2001, Section 3.8: Discovering dispersion effects) Hinkelmann and
Analysis_of_variance
Type of statistics
data set are measures of central tendency and measures of variability or dispersion. Measures of central tendency include the mean, median and mode, while
Descriptive_statistics
Topics referred to by the same term
absolute deviation, a measure of statistical dispersion Mean squared deviation, another measure of statistical dispersion Mean Deviation (book), a 2010 non-fiction
Mean_deviation
Average uncertainty in variable's states
information Perplexity Qualitative variation – other measures of statistical dispersion for nominal distributions Quantum relative entropy – a measure of
Entropy_(information_theory)
Complete set of items that share at least one property in common
similar items which is of interest for some question or experiment. A statistical population can be a group of existing objects (e.g. the set of all stars
Statistical_population
Statistical property
size. In other words, the standard error of the mean is a measure of the dispersion of sample means around the population mean. In regression analysis, the
Standard_error
Subdiscipline of statistics
will lie between 0 and 1. Various measures of central tendency and statistical dispersion may be defined for both the population and a sample drawn from that
Directional_statistics
Process of selecting a portfolio
include the Sortino ratio, CVaR (Conditional Value at Risk), and statistical dispersion. Investment is a forward-looking activity, and thus the covariances
Portfolio_optimization
Statistical modeling technique
functions are of interest. Different measures of central tendency and statistical dispersion can be used to more comprehensively analyze the relationship between
Quantile_regression
Type of average of a collection of numbers
Meeting of the American Statistical Association, Colorado State University. pp. 68–69. Medhi, Jyotiprasad (1992). Statistical Methods: An Introductory
Arithmetic_mean
Selection of data points in statistics
individuals from within a statistical population to estimate characteristics of the whole population. The subset, called a statistical sample (or sample, for
Sampling_(statistics)
Important algorithms in numerical statistics
parallel computation of statistical moments with subsequent combination of those moments, or for combination of statistical moments computed at sequential
Algorithms for calculating variance
Algorithms_for_calculating_variance
Class of statistical models
family (or exponential family with dispersion) is a generalization of an exponential family and the exponential dispersion model of distributions and includes
Generalized_linear_model
Italian statistician (1884–1965)
Also called the Gini index and the Gini ratio, it is a measure of statistical dispersion intended to represent the income inequality within a nation or other
Corrado_Gini
Statistics concept
the Fano factor, like the coefficient of variation, is a measure of the dispersion of a counting process. It was originally used to measure the Fano noise
Fano_factor
Family of probability distributions
exponential dispersion models are fundamental in statistical theory consequent to their roles as foci of convergence for a wide range of statistical processes
Tweedie_distribution
Quantity that indexes a parametrized family of probability distributions
and variance can generally still be regarded as statistical parameters of the population, and statistical procedures can still attempt to make inferences
Statistical_parameter
Measure of the deviation of position over time
In statistical mechanics, the mean squared displacement (MSD), also called mean square displacement, average squared displacement, or mean square fluctuation
Mean_squared_displacement
Term in statistical hypothesis testing
true effect or association. Statistical testing uses data from samples to assess, or make inferences about, a statistical population. For example, we
Power_(statistics)
Fourth standardized moment in statistics
seen as a measure of the dispersion of Z2 around its expectation. Alternatively it can be seen to be a measure of the dispersion of Z around +1 and −1.
Kurtosis
Rule for calculating an estimate of a given quantity based on observed data
occurs frequently in estimation of scale parameters by measures of statistical dispersion. An estimator can be considered Fisher consistent as long as the
Estimator
Statistic measuring inter-rater agreement for categorical items
average". Statistical Methodology. 8 (6): 473–484. doi:10.1016/j.stamet.2011.06.002. hdl:1887/18062. Online Kappa Calculator Cohen's Kappa Statistic for Measuring
Cohen's_kappa
x}{2}}.} The mid-range is closely related to the range, a measure of statistical dispersion defined as the difference between maximum and minimum values. The
Glossary_of_engineering:_M–Z
Distribution of income or wealth between different groups
coefficient (also known as the Gini index or Gini ratio) is a measure of statistical dispersion that represents income, wealth, or consumption inequality within
Economic_inequality
Statistical measure of dispersion
Morisita's overlap index, named after Masaaki Morisita, is a statistical measure of dispersion of individuals in a population. It is used to compare overlap
Morisita's_overlap_index
Test statistic
chi-squared statistic is called the infit mean-square statistic. Wendt, I., and Carl, C., 1991, The statistical distribution of the mean squared weighted deviation
Reduced_chi-squared_statistic
Measure of covariance of components of a random vector
statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance matrix) is a square matrix
Covariance_matrix
Middle quantile of a data set or probability distribution
Oja. "Multivariate median." Encyclopedia of statistical sciences (1999). Mosler, Karl. Multivariate Dispersion, Central Regions, and Depth: The Lift Zonoid
Median
Estimation method that minimizes the mean square error
). Springer. ISBN 0-387-98502-6. Kay, S. M. (1993). Fundamentals of Statistical Signal Processing: Estimation Theory. Prentice Hall. pp. 344–350. ISBN 0-13-042268-1
Minimum mean square error estimator
Minimum_mean_square_error_estimator
How many standard deviations apart from the mean an observed datum is
are in this article. Other equivalent terms in use include z-value, z-statistic, normal score, standardized variable and pull in high energy physics.
Standard_score
Measure of the shape of a function
of tails as compared to shoulders in contribution to dispersion" (for a given amount of dispersion, higher kurtosis corresponds to thicker tails, while
Moment_(mathematics)
Statistical test comparing two probability distributions
KSgeneral package of the R project for statistical computing, which for a given sample also computes the KS test statistic and its p-value. Alternative C++
Kolmogorov–Smirnov_test
Spatial statistics function
Geostatistical Ore Reserve Estimation, Elsevier Publishing. Hald, A., 1952, Statistical Theory with Engineering Applications, John Wiley & Sons, New York. Journel
Variogram
Chemical mixtures
liquid or solid matrix (the "dispersion medium") are assumed to be statistically distributed. Therefore, for dispersions, usually percolation theory is
Dispersion_(chemistry)
Concepts from statistical hypothesis testing
determined by known, observable, causal processes. In statistical test theory, the notion of a statistical error is an integral part of hypothesis testing.
Type_I_and_type_II_errors
Statistical tests are used to test the fit between a hypothesis and the data. Choosing the right statistical test is not a trivial task. The choice of
List_of_statistical_tests
Test used in statistics
discussed in this article is that of two populations, where the test statistic used is the ratio of two sample variances. This particular situation is
F-test of equality of variances
F-test_of_equality_of_variances
Statistical estimator for ratio of means
The ratio estimator is a statistical estimator for the ratio of means of two random variables. Ratio estimates are biased and corrections must be made
Ratio_estimator
STATISTICAL DISPERSION
STATISTICAL DISPERSION
Girl/Female
Biblical
A stranger at Babylon, dispersion of confusion.
Biblical
a stranger at Babylon; dispersion of confusion
Girl/Female
Bengali, Hindu, Indian, Sindhi
Rainbow of Colours; Dispersion of Seven Colors
Girl/Female
Biblical
A stranger at Babylon, dispersion of confusion.
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
n.
Vital statistics.
adv.
In the way of statistics.
n.
See Statistics, 2.
a.
Of or pertaining to statistics; as, statistical knowledge, statistical tabulation.
n.
A book published yearly; any annual report or summary of the statistics or facts of a year, designed to be used as a reference book; as, the Congregational Yearbook.
a.
Arranged in a schedule; as, tabular statistics.
n.
A book or table, containing a calendar of days, and months, to which astronomical data and various statistics are often added, such as the times of the rising and setting of the sun and moon, eclipses, hours of full tide, stated festivals of churches, terms of courts, etc.
n.
An account, or formal report, of an action performed, of a duty discharged, of facts or statistics, and the like; as, election returns; a return of the amount of goods produced or sold; especially, in the plural, a set of tabulated statistics prepared for general information.
n.
Classified facts respecting the condition of the people in a state, their health, their longevity, domestic economy, arts, property, and political strength, their resources, the state of the country, etc., or respecting any particular class or interest; especially, those facts which can be stated in numbers, or in tables of numbers, or in any tabular and classified arrangement.
n.
The science which has to do with the collection and classification of certain facts respecting the condition of the people in a state.
v. t.
A wild, headlong scamper, or running away, of a number of animals; usually caused by fright; hence, any sudden flight or dispersion, as of a crowd or an army in consequence of a panic.
n.
The branch of mathematics which studies methods for the calculation of probabilities.
n.
The act of forming into a table or tables; as, the tabulation of statistics.
a.
Alt. of Statistical
n.
An official registration of the number of the people, the value of their estates, and other general statistics of a country.
n.
Natural dispersion of seeds.
n.
The act or process of scattering or dispersing, or the state of being scattered or separated; as, the Jews in their dispersion retained their rites and ceremonies; a great dispersion of the human family took place at the building of Babel.
n.
A statistician.
n.
One versed in statistics; one who collects and classifies facts for statistics.