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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
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
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
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
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
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 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
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
Normalized measure of statistical dispersion
measures of scale. The statistic is easily computed using the first and third quartiles (Q1 and Q3). The quartile coefficient of dispersion is the ratio of half
Quartile coefficient of dispersion
Quartile_coefficient_of_dispersion
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
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)
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)
the curvilinear association between the statistical dispersion within individual categories and the dispersion across the whole population or sample. The
Correlation_ratio
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
difference may refer to: Mean absolute difference, a measure of statistical dispersion Mean signed difference, a measure of central tendency Mean deviation
Mean_difference
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
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
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
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%
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
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
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)
Numeric quantity representing the center of a collection of numbers
Weighted geometric mean Weighted harmonic mean Mathematics portal Statistical dispersion Central tendency Median Mode Descriptive statistics Kurtosis Law
Mean
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
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
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
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
Statistical value representing the center or average of a distribution
minimizing variation from the center. That is, given a measure of statistical dispersion, one asks for a measure of central tendency that minimizes variation:
Central_tendency
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
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)
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
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
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
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
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
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
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
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
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 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
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
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
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
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
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
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
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
classification Statistical conclusion validity Statistical consultant Statistical deviance – see deviance (statistics) Statistical dispersion Statistical distance
List_of_statistics_articles
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
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
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
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
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
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
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)
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)
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
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 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
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
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
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
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
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)
Distance between two statistical objects
probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two random variables
Statistical_distance
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
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
Chemical mixtures
liquid or solid matrix (the "dispersion medium") are assumed to be statistically distributed. Therefore, for dispersions, usually percolation theory is
Dispersion_(chemistry)
Statistical principle
is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. A sufficient statistic for a model parameter
Sufficient_statistic
Quantity in information theory
This also establishes an intuitive connection to concepts like statistical dispersion; events that are far from the mean or typical outcome (and thus
Information_content
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
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
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 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
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
Statistics concept
standardize statistical errors (especially of a normal distribution) in a z-score (or "standard score"), and standardize residuals in a t-statistic, or more
Errors_and_residuals
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
Function of the observed sample results
{\displaystyle X} in some study is called a statistical hypothesis. If we state one hypothesis only and the aim of the statistical test is to see whether this hypothesis
P-value
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
Statistical measure of the magnitude of a phenomenon
Effect sizes are a complementary tool for statistical hypothesis testing, and play an important role in statistical power analyses to assess the sample size
Effect_size
Statistical property
of this is to use covariance matrices as the multivariate measure of dispersion. Several authors have considered tests in this context, for both regression
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
Statistical hypothesis test
An F-test is a statistical test that compares variances. It is used to determine if the variances of two samples, or if the ratios of variances among
F-test
Single measure of some attribute of a sample
statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes
Statistic
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
Kth smallest value in a statistical sample
order statistic of a statistical sample is equal to its kth-smallest value. Given a sample of size n {\displaystyle n} , the kth order statistic is denoted
Order_statistic
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
Boy/Male
Hindu
Original name of Karna
Boy/Male
Sikh
The winner of gods Love, Lords life
Surname or Lastname
English
English : perhaps a variant of Babb. In the British Isles it is now most common in mid-Wales and in the border county of Shropshire, where it is recorded from the 16th century.William Bebb (1802–73), Governor of OH 1846–48, was a descendant of an immigrant from Montgomeryshire, Wales.
Girl/Female
Indian
Goddess Lakshmi, Divine beauty
Girl/Female
Muslim
Virtues
Boy/Male
Australian, Danish, German, Greek, Latin, Swedish
Christ-bearer; Bearer of Christ
Girl/Female
American, Australian, British, Christian, English, French, Italian, Latin
Young Deer; Fawn; Animal Life; Goddess of Living Things; To Favour
Boy/Male
Tamil
Sight
Boy/Male
British, English
From the Land that was Burned
Girl/Female
Arabic, Muslim
One who Praises
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
STATISTICAL DISPERSION
n.
The branch of mathematics which studies methods for the calculation of probabilities.
a.
Alt. of Statistical
n.
The science which has to do with the collection and classification of certain facts respecting the condition of the people in a state.
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.
a.
Of or pertaining to statistics; as, statistical knowledge, statistical tabulation.
n.
See Statistics, 2.
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.
adv.
In the way of statistics.
n.
One versed in statistics; one who collects and classifies facts for statistics.
n.
Natural dispersion of seeds.
a.
Arranged in a schedule; as, tabular statistics.
n.
An official registration of the number of the people, the value of their estates, and other general statistics of a country.
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.
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.
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.
Vital statistics.
n.
A statistician.
n.
The act of forming into a table or tables; as, the tabulation of statistics.
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.