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Format for presentation of quantitative data
A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in
Stem-and-leaf_display
Empirical law on the variance of species in a habitat
Estimation of the Density of Rice Stems Infested by the Rice Stem Borer". Japanese Journal of Applied Entomology and Zoology. 2 (3): 184. doi:10.1303/jjaez
Taylor's_law
Measure of distance between two proportions
Namely, h = 0.2 is a "small" difference, h = 0.5 is a "medium" difference, and h = 0.8 is a "large" difference. Only discuss differences that have h greater
Cohen's_h
Type of statistics
depicted in graphical or tabular format, including histograms and stem-and-leaf display. When a sample consists of more than one variable, descriptive statistics
Descriptive_statistics
Unit of information
ISBN 0-471-95820-4. Johanna Drucker (2011). "Humanities Approaches to Graphical Display". Digital Humanities Quarterly. 005 (1). Data at Wikipedia's sister projects:
Data
Measure of linear correlation
two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized
Pearson correlation coefficient
Pearson_correlation_coefficient
Graphic visual representation of information
alternatives include stem-and-leaf plots, Q–Q plots, scatter plot matrices (SPLOM) and parallel coordinates. For assessing a collection of numbers and focusing on
Infographic
Measure of variation in statistics
Standard deviation may be abbreviated SD or std dev, and is most commonly represented in mathematical texts and equations by the lowercase Greek letter σ (sigma)
Standard_deviation
Statistical measure of association
referred to as Cramér's phi and denoted as φc) is a measure of association between two nominal variables, giving a value between 0 and +1 (inclusive). It is
Cramér's_V
Set of statistical processes for estimating the relationships among variables
the outcome or response variable, or a label in machine learning parlance) and one or more independent variables (often called regressors, predictors, covariates
Regression_analysis
Range to estimate an unknown parameter
intervals – Statistical indicators of the deviation of a samplePages displaying short descriptions of redirect targets Hazra, Avijit (2017). "Using the
Confidence_interval
Value that appears most often in a set of data
is the value that is most likely to be sampled. Like the statistical mean and median, the mode is a summary statistic about the central tendency of a random
Mode_(statistics)
Probabilistic problem-solving algorithm
node of the tree, select optimal child nodes until a leaf node is reached. Expand the leaf node and choose one of its children. Play a simulated game starting
Monte_Carlo_method
Nonparametric measure of rank correlation
correlation coefficient. The coefficient is named after Charles Spearman and often denoted by the Greek letter ρ {\displaystyle \rho } (rho) or as r s
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Fundamental theorem in probability theory and statistics
expected value (average) μ {\displaystyle \mu } and finite positive variance σ 2 {\displaystyle \sigma ^{2}} , and let X ¯ n {\displaystyle {\bar {X}}_{n}} denote
Central_limit_theorem
Measure of statistical dispersion
fourth spread, or H‑spread. It is defined as the difference between the 75th and 25th percentiles of the data. To calculate the IQR, the data set is divided
Interquartile_range
Apparent lack of pattern or predictability in events
information. A random sequence of events, symbols or steps often has no order and does not follow an intelligible pattern or combination. Individual random
Randomness
Statistical test comparing two probability distributions
distribution (two-sample K–S test). It is named after Andrey Kolmogorov and Nikolai Smirnov, who developed it in the 1930s. The Kolmogorov–Smirnov statistic
Kolmogorov–Smirnov_test
Study of collection and analysis of data
discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial
Statistics
Statistical relationship
correlation is not sufficient to infer the presence of a causal relationship, and this is often stated as "correlation does not imply causation". Furthermore
Correlation
Statistical measure of variability
the data points and the geometric median in n dimensions. This gives the identical result as the univariate MAD in one dimension and generalizes to any
Median_absolute_deviation
Number taken as representative of a list of numbers
the magnitude and sign of the data set. Which of these measures is most illuminating depends on what is being measured, and on context and purpose. The
Average
Generates a forecast of future values of a time series
assign exponentially decreasing weights over time. It is an easily learned and easily applied procedure for making some determination based on prior assumptions
Exponential_smoothing
Statistic measuring inter-rater agreement for categorical items
a new technique was published by Jacob Cohen in the journal Educational and Psychological Measurement in 1960. Cohen's kappa measures the agreement between
Cohen's_kappa
Statistical modeling method
estimates the relationship between a scalar response (dependent variable) and one or more explanatory variables (regressor or independent variable). A
Linear_regression
Numerical measure of a statistical relationship between variables
correlation coefficient exist, each with their own definition and range of usability and characteristics. They all assume values in the range from −1 to
Correlation_coefficient
Function of the observed sample results
quantitative fields, misinterpretation and misuse of p-values is widespread and has been a major topic in mathematics and metascience. In 2016, the American
P-value
Measure of the joint variability
In probability theory and statistics, covariance is a measure of the joint variability of two random variables. The sign of the covariance shows the tendency
Covariance
Measure of inter-rater agreement
Bangdiwala's B statistic was created by Shrikant Bangdiwala in 1985 and is a measure of inter-rater agreement. While not as commonly used as the kappa
Bangdiwala's_B
Measure of the asymmetry of random variables
Skewness in probability theory and statistics is a measure of the asymmetry of the probability distribution of a real-valued random variable about its
Skewness
Method of data analysis
a display mechanism. Genetics varies largely according to proximity, so the first two principal components actually show spatial distribution and may
Principal_component_analysis
Non-parametric statistic used to estimate the survival function
are removed by frugivores. The estimator is named after Edward L. Kaplan and Paul Meier, who each submitted similar manuscripts to the Journal of the
Kaplan–Meier_estimator
Method of estimating the parameters of a statistical model, given observations
ISBN 978-3-11-013863-4. MR 1291393. Hald, Anders (1999). "On the History of Maximum Likelihood in Relation to Inverse Probability and Least Squares". Statistical Science
Maximum_likelihood_estimation
Concept in machine learning
Double descent in statistics and machine learning is the phenomenon where a model's error rate on the test set initially decreases with the number of
Double_descent
Statistical measure to determine how suited data is for factor analysis
analysis. The test measures sampling adequacy for each variable in the model and the complete model. The statistic is a measure of the proportion of variance
Kaiser–Meyer–Olkin_test
Processes that maintain quality at a constant level
and well managed processes, performance and integrity criteria, and identification of records Competence, such as knowledge, skills, experience, and qualifications
Quality_control
Generalization of the one-dimensional normal distribution to higher dimensions
In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization
Multivariate normal distribution
Multivariate_normal_distribution
Study of health and disease within a population
common categorizations of bias since, unlike selection and information bias, confounding stems from real causal effects. Few universities have offered
Epidemiology
distributions. statistical significance statistics Student's t-test stem-and-leaf display stratified sampling survey methodology survival function survivorship
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Statistical test
known. If the population variance is unknown (and therefore has to be estimated from the sample itself) and the sample size is not large (n < 30), the Student's
Z-test
Experiment methodology
their first A/B test in 2000 to determine the optimum number of results to display in its search-engine results. The first test was unsuccessful because of
A/B_testing
Method of statistical inference
maximum a posteriori probability rule for atom column detection from HAADF STEM images". Ultramicroscopy. 201: 81–91. arXiv:1902.05809. doi:10.1016/j.ultramic
Bayesian_inference
Estimator for quality of a statistical model
The Akaike information criterion (AIC) is an estimator of prediction error and thereby relative quality of statistical models for a given set of data. Given
Akaike_information_criterion
Collection of statistical models
Tukey's range test, and Duncan's new multiple range test. In turn, these tests are often followed with a Compact Letter Display (CLD) methodology in
Analysis_of_variance
Collection of statistical data sets
Springer. p. 418. ISBN 0-387-97517-9. Tufte, Edward R. (2001). The Visual Display of Quantitative Information (2nd ed.). Cheshire, CT: Graphics Press. ISBN 0-9613921-4-2
Datasaurus_dozen
Statistical hypothesis test
distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's chi-squared test is used to determine whether
Chi-squared_test
Statistics concept
variable x and the dependent variable y is modeled as a polynomial in x. Polynomial regression fits a nonlinear relationship between the value of x and the corresponding
Polynomial_regression
Diagnostic plot of binary classifier ability
positive rate. Given that the probability distributions for both true positive and false positive are known, the ROC curve is obtained as the cumulative distribution
Receiver operating characteristic
Receiver_operating_characteristic
Concept in inferential statistics
Statisticians of the Centuries, Springer, pp. 39–42, ISBN 978-0-387-95329-8 Hald, Anders (1998), "Chapter 4. Chance or Design: Tests of Significance", A History
Statistical_significance
Type of mathematical model
set of statistical assumptions concerning the generation of sample data (and similar data from a larger population). A statistical model represents, often
Statistical_model
Type of chart
grouped bar chart where each factor is displayed next to another, each with their own bar, the stacked bar chart displays multiple data points stacked in a
Bar_chart
Statistical considerations on how many observations to make
determined based on the cost, time, or convenience of collecting the data, and the need for it to offer sufficient statistical power. In complex studies
Sample_size_determination
Statistical hypothesis test
by the random variable F, and checks if it follows an F-distribution. This check is valid if the null hypothesis is true and standard assumptions about
F-test
Statistical method
and identically distributed population, this can be implemented by constructing a number of resamples with replacement, of the observed data set (and
Bootstrapping_(statistics)
variables Distribution Statistics (M, SD, variance, skewness, kurtosis) Stem-and-leaf displays Box plots In the main analysis phase, analyses aimed at answering
Data_analysis
Fourth standardized moment in statistics
probability distribution of a real-valued, random variable in probability theory and statistics. Similar to skewness, kurtosis provides insight into specific
Kurtosis
Class of statistical survival models
probability per short time dt that an event will occur between t {\displaystyle t} and t + d t {\displaystyle t+dt} given that up to time t {\displaystyle t} no
Proportional_hazards_model
Position that there is no relationship between two phenomena
Statistical hypothesis testing – Method of statistical inferencePages displaying short descriptions of redirect targets P-value – Function of the observed
Null_hypothesis
Criterion for model selection
are generally preferred. It is based, in part, on the likelihood function and it is closely related to the Akaike information criterion (AIC). When fitting
Bayesian information criterion
Bayesian_information_criterion
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 method for handling multiple comparisons
of the FDR is believed to stem from, and be motivated by, the development in technologies that allowed the collection and analysis of a large number
False_discovery_rate
Test of normality in frequentist statistics
a test of normality. It was published in 1965 by Samuel Sanford Shapiro and Martin Wilk. The Shapiro–Wilk test tests the null hypothesis that a sample
Shapiro–Wilk_test
Linear regression model with a single explanatory variable
independent variable and one dependent variable (conventionally, the x and y coordinates in a Cartesian coordinate system) and finds a linear function
Simple_linear_regression
Inverse of the average of the inverses of a set of numbers
one of the Pythagorean means. It is sometimes used for ratios and rates such as speeds, and is normally used for positive arguments only. The harmonic mean
Harmonic_mean
Circular statistical graph of proportionality
and can display other values such as averages or targets at the same time. Statisticians generally regard pie charts as a poor method of displaying information
Pie_chart
Middle quantile of a data set or probability distribution
and the medium in 1880. Mathematics portal Absolute deviation – Difference between a variable's observed value and a reference valuePages displaying short
Median
Covariance and correlation
there will always be a peak at a lag of zero, and its size will be the signal energy. In probability and statistics, the term cross-correlations refers
Cross-correlation
Number of values in the final calculation of a statistic that are free to vary
parameters estimated as intermediate steps (one, namely, the sample mean) and is therefore equal to N − 1 {\textstyle N-1} . Mathematically, degrees of
Degrees of freedom (statistics)
Degrees_of_freedom_(statistics)
Grouping a set of objects by similarity
data compression, computer graphics and machine learning. Cluster analysis refers to a family of algorithms and tasks rather than one specific algorithm
Cluster_analysis
Method of quality control
particles). Shewhart concluded that while every process displays variation, some processes display variation that is natural to the process ("common" sources
Statistical_process_control
Method of plotting numeric data
The violin plot was proposed in 1997 by Jerry L. Hintze and Ray D. Nelson as a way to display even more information than box plots, which were created
Violin_plot
Statistical hypothesis test
Probability distribution Student's t-statistic – Ratio in statisticsPages displaying short descriptions of redirect targets Z-test – Statistical test Mann–Whitney
Student's_t-test
Class of statistical models
general and generalized linear models – Statistical linear modelPages displaying short descriptions of redirect targets Fractional model Generalized linear
Generalized_linear_model
Mathematical function for the probability a given outcome occurs in an experiment
doi:10.1017/S0266466600004746. S2CID 14668369. Everitt, Brian; Skrondal, Anders (2010). The Cambridge dictionary of statistics (4th ed.). Cambridge, UK ;
Probability_distribution
Comparison of two distributions
distributions, providing a graphical view of how properties such as location, scale, and skewness are similar or different in the two distributions. Q–Q plots can
Q–Q_plot
Simultaneous observation and analysis of more than one outcome variable
is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable, i.e., multivariate random variables
Multivariate_statistics
Probability distribution
In probability theory and statistics, Student's t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability
Student's_t-distribution
Statistical distribution for dependence between random variables
In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each
Copula_(statistics)
Data visualization
popularized this type of visual data display in 1969, several variations on the classical box plot have been developed, and the two most commonly found variations
Box_plot
Statistical hypothesis test
the distribution of this difference is symmetric around a central value and it aims to test whether this center value differs significantly from zero
Wilcoxon_signed-rank_test
Type of average of a collection of numbers
a normal distribution, whereas annual or monthly rainfall totals often display a skewed distribution, with some periods having unusually high totals while
Arithmetic_mean
Statistical model validation technique
Cross-validation includes resampling and sample splitting methods that use different portions of the data to test and train a model on different iterations
Cross-validation_(statistics)
Measure of covariance of components of a random vector
In probability theory and statistics, a covariance matrix (also known as auto-covariance matrix, dispersion matrix, variance matrix, or variance–covariance
Covariance_matrix
Method of statistical inference
The test compares two hypotheses: a default "null" hypothesis (denoted H0) and its negation, the alternative hypothesis (H1). It is usually consistent with
Statistical_hypothesis_test
Family of statistical methods based on sampling of available data
most often with the purpose of deriving robust estimates of standard errors and confidence intervals of a population parameter like a mean, median, proportion
Resampling_(statistics)
Nonparametric test of the null hypothesis
statistical test of the null hypothesis that randomly selected values X and Y from two populations have the same distribution. The value of U calculated
Mann–Whitney_U_test
Theory and technique of psychological measurement
concerned with the theory and technique of measurement. Psychometrics generally covers specialized fields within psychology and education devoted to testing
Psychometrics
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
probability theory and statistics, the coefficient of variation (CV), also known as normalized root-mean-square deviation (NRMSD), and relative standard
Coefficient_of_variation
N-th root of the product of n numbers
Retrieved 2009-10-24. US 5956091, "Method of showing 16:9 pictures on 4:3 displays", issued September 21, 1999 MacEvoy, Bruce. "Colormaking Attributes: Measuring
Geometric_mean
Graphical representation of the distribution of numerical data
each category represents, and the total area of all the bars is equal to 1 (the fraction meaning "all"). The curve displayed is a simple density estimate
Histogram
Type of numerical analysis
In statistics and numerical analysis, isotonic regression or monotonic regression is the technique of fitting a free-form line to a sequence of observations
Isotonic_regression
Approximation method in statistics
observed values and the values predicted by the model. Least squares problems fall into two categories: linear or ordinary least squares and nonlinear least
Least_squares
Relationship between items in a set
B and C (which compare equal) which are both ranked ahead of D, then A gets ranking number 1 ("first") and D gets ranking number 4 ("fourth"), and either
Ranking
Method of logical reasoning
four balls is drawn, three are black and one is white. An inductive generalization may be that there are 15 black and five white balls in the urn. However
Inductive_reasoning
Term in statistical hypothesis testing
size – Statistical considerations on how many observations to makePages displaying short descriptions of redirect targets Uniformly most powerful test –
Power_(statistics)
Selection of data points in statistics
In statistics, quality assurance, and survey methodology, sampling is the selection of a subset of individuals from within a statistical population to
Sampling_(statistics)
Statistical phenomenon
toward the mean (also called regression to the mean, reversion to the mean, and reversion to mediocrity) is the phenomenon where if one sample of a random
Regression_toward_the_mean
Approach of analyzing data sets in statistics
Histogram Multi-vari chart Run chart Pareto chart Scatter plot (2D/3D) Stem-and-leaf plot Parallel coordinates Odds ratio Targeted projection pursuit Heat
Exploratory_data_analysis
Bias in causal inference
with the exposure (or independent variable), and (3) is not on the causal pathway between the exposure and the outcome. Failure to control for a confounder
Confounding
Statistical sampling technique
1977. It was further elaborated by Ronald L. Iman and coauthors in 1981. Detailed computer codes and manuals were later published. In the context of statistical
Latin_hypercube_sampling
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