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Field of applied statistics
Spatial statistics is a field of applied statistics dealing with spatial data. It involves stochastic processes (random fields, point processes), sampling
Spatial_statistics
Academic journal
Spatial Statistics is an academic journal published by Elsevier about methodological developments and applications of spatial statistics and spatiotemporal
Spatial_Statistics
Methods used in statistics
Spatial descriptive statistics is the intersection of spatial statistics and descriptive statistics; these methods are used for a variety of purposes
Spatial descriptive statistics
Spatial_descriptive_statistics
Techniques to study geometric data
in urban design. Spatial analysis includes a variety of techniques using different analytic approaches, especially spatial statistics. It may be applied
Spatial_analysis
Statistical model validation technique
account for both spatial and temporal dependence. A recent review summarises cross-validation strategies for spatiotemporal statistics, outlining their
Cross-validation_(statistics)
Study of collection and analysis of data
specifically in spatial analysis Image processing Jurimetrics (law) Medical statistics Political science Psychological statistics Reliability engineering
Statistics
Spatial autocorrelation statistic
Getis–Ord statistics, also known as Gi*, are used in spatial analysis to measure the local and global spatial autocorrelation. Developed by statisticians
Getis–Ord_statistics
Subfield of spatial analysis and econometrics
the Spatial Econometrics Association[1], the discipline is defined as the set of “models and theoretical instruments of spatial statistics and spatial data
Spatial_econometrics
Term in statistical hypothesis testing
In frequentist statistics, power is the probability of detecting an effect (i.e. rejecting the null hypothesis) given that some prespecified effect actually
Power_(statistics)
Geographic data discipline
geomatics engineers includes the analysis of spatial data and statistics. This information models "spatially-indexed dependence structures", which combats
Geomatics
Number of occurrences in an experiment or study
In statistics, the frequency or absolute frequency of an event i {\displaystyle i} is the number n i {\displaystyle n_{i}} of times the observation has
Frequency_(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)
Concept in inferential statistics
(2008). "Power and the computation of sample size". Introductory Statistics with R. Statistics and Computing. New York: Springer. pp. 155–56. doi:10.1007/978-0-387-79054-1_9
Statistical_significance
American geographer and spatial statistician
contributions to quantitative geography and spatial statistics, particularly for developing the Moran eigenvector spatial filtering (MESF) technique and introducing
Daniel_A._Griffith
How many standard deviations apart from the mean an observed datum is
In statistics, the standard score or z-score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point)
Standard_score
Statistical method
aggregating Bootstrapping Empirical likelihood Imputation (statistics) Reliability (statistics) Reproducibility Resampling Horowitz JL (2019). "Bootstrap
Bootstrapping_(statistics)
American statistician
includes substantial contributions to the fields of Bayesian statistics, spatial statistics and hierarchical modeling. Gelfand was born in Bronx, New York. After
Alan_E._Gelfand
Branch of statistics
Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting
Mathematical_statistics
Condition in which the value of a measurement or observation is only partially known
In statistics, censoring is a condition in which the value of a measurement or observation is only partially known. For example, suppose a study is conducted
Censoring_(statistics)
Number of values in the final calculation of a statistic that are free to vary
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. Estimates of statistical
Degrees of freedom (statistics)
Degrees_of_freedom_(statistics)
Estimator for quality of a statistical model
formulated it. It now forms the basis of a paradigm for the foundations of statistics and is also widely used for statistical inference. Suppose that we have
Akaike_information_criterion
Statistical relationship
In statistics, correlation is a type of statistical relationship between two random variables or bivariate data. It usually refers to the extent to which
Correlation
American geographer and spatial statistician
an American geographer known for his significant contributions to spatial statistics and geographic information science (GIScience). With a career spanning
Arthur_Getis
Process of using data analysis for predicting population data from sample data
from a larger population. Inferential statistics can be contrasted with descriptive statistics. Descriptive statistics is solely concerned with properties
Statistical_inference
Type of scatter plot
In statistics, a volcano plot is a type of scatter-plot that is used to quickly identify changes in large data sets composed of replicate data. It plots
Volcano_plot_(statistics)
Statistical property
interchangeability. However, the mean and standard deviation are descriptive statistics, whereas the standard error of the mean is descriptive of the random sampling
Standard_error
Statistical measure of association
In statistics, Cramér's V (sometimes referred to as Cramér's phi and denoted as φc) is a measure of association between two nominal variables, giving a
Cramér's_V
Set of statistical processes for estimating the relationships among variables
Charlton, Martin (2002). Geographically weighted regression: the analysis of spatially varying relationships (Reprint ed.). Chichester, England: John Wiley.
Regression_analysis
Value that appears most often in a set of data
In statistics, the mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which
Mode_(statistics)
Statistical test
t-test more convenient. Because of the central limit theorem, many test statistics are approximately normally distributed for large samples. Therefore, many
Z-test
Number taken as representative of a list of numbers
means (or "measures of central tendency") in mathematics, especially in statistics. Each attempts to summarize or typify a given group of data, illustrating
Average
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
Simultaneous observation and analysis of more than one outcome variable
Multivariate statistics is a subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable, i.e.
Multivariate_statistics
Middle quantile of a data set or probability distribution
the spatial median". Annals of Statistics. 15 (3): 1332–1333. doi:10.1214/aos/1176350511. MR 0902264. K.Van Steen Notes on probability and statistics Basu
Median
Spatial statistics function
graphical representation of the spatial dependence between pairs of data points, commonly used in geostatistics and spatial statistics. The term is sometimes used
Variogram
British-American geographer
University. He has contributed to the literature surrounding spatial analysis and spatial statistics, particularly in the development of geographically weighted
Stewart_Fotheringham
Type of random mathematical object
mathematical models and in related fields, including spatial point processes, stochastic geometry, spatial statistics and continuum percolation theory. The point
Poisson_point_process
Spanish statistician (born 1969)
criminology. He is co-editor of books, including Spatial Statistics Through Applications (2002), Case Studies in Spatial Point Process Modeling (2005), Spatio-temporal
Jorge_Mateu
Type of statistics
Robust statistics are statistics that maintain their properties even if the underlying distributional assumptions are incorrect. Robust statistical methods
Robust_statistics
Statistic measuring inter-rater agreement for categorical items
the traditional 2 × 2 confusion matrix employed in machine learning and statistics to evaluate binary classifications, the Cohen's Kappa formula can be written
Cohen's_kappa
who made contributions to queueing theory, stochastic geometry, and spatial statistics. Stoyan studied mathematics at Technical University Dresden; applied
Dietrich_Stoyan
Indicators of spatial association are statistics that evaluate the existence of clusters in the spatial arrangement of a given variable. For instance
Indicators of spatial association
Indicators_of_spatial_association
Measure of goodness of fit for a statistical model
In 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)
Measure of the shape of a function
moments. As with variance, skewness, and kurtosis, these are higher-order statistics, involving non-linear combinations of the data, and can be used for description
Moment_(mathematics)
Empirical law on the variance of species in a habitat
originally defined for ecological systems, specifically to assess the spatial clustering of organisms. For a population count Y {\displaystyle Y} with
Taylor's_law
Range to estimate an unknown parameter
Concept in statistics Confidence region – Multi-dimensional version of a confidence interval, a higher dimensional generalization Credence (statistics) – Measure
Confidence_interval
Type of mathematical model
identifiable. In some cases, the model can be more complex. In Bayesian statistics, the model is extended by adding a probability distribution over the parameter
Statistical_model
Design of experiments to collect similar contexts together
squares Hyper-Graeco-Latin square designs Mathematics portal Algebraic statistics Block design Combinatorial design Generalized randomized block design
Blocking_(statistics)
Complete set of items that share at least one property in common
In statistics, a population is a set of similar items which is of interest for some question or experiment. A statistical population can be a group of
Statistical_population
Concept in statistics
In descriptive statistics, the range of a set of data is the size or width of the narrowest interval which contains all the data. It is calculated as the
Range_(statistics)
Quality measure of a statistical method
In statistics, efficiency is a measure of quality of an estimator, of an experimental design, or of a hypothesis testing procedure. Essentially, a more
Efficiency_(statistics)
Unit of information
values that conveys information, describing the quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may
Data
Bias in causal inference
"confounded with blocks". This popularized the notion of confounding in statistics, although Fisher was concerned with the control of heterogeneity in experimental
Confounding
Statistics, in the modern sense of the word, began evolving in the 18th century in response to the novel needs of industrializing sovereign states. In
History_of_statistics
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
In probability theory and statistics, the coefficient of variation (CV), also known as normalized root-mean-square deviation (NRMSD), and relative standard
Coefficient_of_variation
Type of statistics
while descriptive statistics (in the mass noun sense) is the process of using and analysing those statistics. Descriptive statistics is distinguished from
Descriptive_statistics
Python library for spatial analysis
science. It provides tools for geocomputation, spatial analysis, spatial statistics, spatial econometrics, and geovisualization. The project is distributed
PySAL
Grouping a set of objects by similarity
variability has on regional weather. Geochemistry & Petroleum Geology The spatial clustering of chemical properties across different sampling locations helps
Cluster_analysis
Causal or moderating relationship between statistical variables
In statistics, an interaction may arise when considering the relationship among three or more variables, and describes a situation in which the effect
Interaction_(statistics)
Time series model
Garthoff, R. (2018). "Generalised spatial and spatiotemporal autoregressive conditional heteroscedasticity". Spatial Statistics. 26 (1): 125–145. arXiv:1609
Autoregressive conditional heteroskedasticity
Autoregressive_conditional_heteroskedasticity
Statistics concept
In statistics and optimization, errors and residuals are two closely related and easily confused measures of the deviation of an observed value of an element
Errors_and_residuals
Probabilistic problem-solving algorithm
science, engineering, and mathematics, such as physics, chemistry, biology, statistics, artificial intelligence, finance, and cryptography. They have also been
Monte_Carlo_method
Function of the observed sample results
interpreted, increase the rigor of the conclusions drawn from data". In statistics, every conjecture concerning the unknown probability distribution of a
P-value
Data transformation of statistics into rank
In statistics, ranking is the data transformation in which numerical or ordinal values are replaced by their rank when the data are sorted. For example
Ranking_(statistics)
Family of statistical methods based on sampling of available data
In statistics, resampling is the creation of new samples based on one observed sample. Resampling methods are: Permutation tests (also re-randomization
Resampling_(statistics)
Test of normality in frequentist statistics
those normal order statistics. There is no name for the distribution of W {\displaystyle W} . The cutoff values for the statistics are calculated through
Shapiro–Wilk_test
Branch of statistics
Parametric statistics is a branch of statistics that is concerned with the analysis of and inference from data assuming that the underlying distribution
Parametric_statistics
Statistical test that compares goodness of fit
In statistics, the likelihood-ratio test is a hypothesis test that involves comparing the goodness of fit of two competing statistical models, typically
Likelihood-ratio_test
Experiment methodology
hypothesis testing or "two-sample hypothesis testing" as used in the field of statistics. A/B testing is employed to compare multiple versions of a single variable
A/B_testing
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)
Programming language for statistics
machine learning, medical imaging, meta-analysis, social sciences, and spatial statistics. The Bioconductor project provides packages for genomic data analysis
R_(programming_language)
Data visualization
In descriptive statistics, a box plot or boxplot is a method for demonstrating graphically the locality, spread and skewness groups of numerical data through
Box_plot
Method of data analysis
believed that intelligence had various uncorrelated components such as spatial intelligence, verbal intelligence, induction, deduction etc and that scores
Principal_component_analysis
Measure of distance between two proportions
In statistics, Cohen's h, popularized by Jacob Cohen, is a measure of distance between two proportions or probabilities. Cohen's h has several related
Cohen's_h
Criterion for model selection
In statistics, the Bayesian information criterion (BIC) or Schwarz information criterion (also SIC, SBC, SBIC) is a criterion for model selection among
Bayesian information criterion
Bayesian_information_criterion
Tool in multivariate statistical analysis
In statistics, the Matérn covariance, also called the Matérn kernel, is a covariance function used in spatial statistics, geostatistics, machine learning
Matérn_covariance_function
Function that measures dissimilarity between two probability distributions
d p {\displaystyle dp} from p {\displaystyle p} . In applications to statistics, the manifold M {\displaystyle M} is typically the space of parameters
Divergence_(statistics)
Type of average of a collection of numbers
In mathematics and statistics, the arithmetic mean ( /ˌærɪθˈmɛtɪk/ arr-ith-MET-ik), arithmetic average, or just the mean or average is the sum of a collection
Arithmetic_mean
Statistical term
In statistics, path analysis is used to describe the directed dependencies among a set of variables. This includes models equivalent to any form of multiple
Path_analysis_(statistics)
Statistics term
In statistics, completeness is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. It is opposed to
Completeness_(statistics)
Study of health and disease within a population
organization Population groups in biomedicine – Health based on racial identity Spatial epidemiology Study of Health in Pomerania – Population based epidemiological
Epidemiology
Chinese-American statistician
statistician whose research focuses on spatial statistics, spatio-temporal statistics, geostatistics, and environmental statistics, with applications in paleoclimatology
Bo_Li_(statistician)
Statistical test
In statistics, the Wald test (named after Abraham Wald) assesses constraints on statistical parameters based on the weighted distance between the unrestricted
Wald_test
Measure of spatial autocorrelation
In statistics, Moran's I is a measure of spatial autocorrelation developed by Patrick Alfred Pierce Moran. Spatial autocorrelation is characterized by
Moran's_I
Type of statistical measure over subsets of a dataset
In statistics, a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating
Moving_average
Correlation of a signal with a time-shifted copy of itself, as a function of shift
information" on atom positions not available through diffraction alone. In statistics, spatial autocorrelation between sample locations also helps one estimate
Autocorrelation
Application of statistical techniques to biological systems
Biostatistics (sometimes referred to as biometry) is a branch of statistics that applies statistical methods to a wide range of topics in the biological
Biostatistics
Branch of statistics focusing on spatial data sets
Geostatistics is a branch of statistics focusing on spatial or spatiotemporal datasets. Developed originally to predict probability distributions of ore
Geostatistics
Position that there is no relationship between two phenomena
warrant for their position Counternull Estimation statistics – Data analysis approach in frequentist statistics Likelihood-ratio test – Statistical test that
Null_hypothesis
Applications of statistics to medicine and the health sciences
Medical statistics (also health statistics) deals with applications of statistics to medicine and the health sciences, including epidemiology, public
Medical_statistics
Type of statistics
In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount of information as
Summary_statistics
Table that displays the frequency of variables
In statistics, a contingency table (also known as a cross tabulation or crosstab) is a type of table in a matrix format that displays the multivariate
Contingency_table
Statistical hypothesis test
of analysis of variance (ANOVA) follows three assumptions Normality (statistics) Homogeneity of variance Independence of errors and random sampling The
F-test
These terms and concepts are used in the mathematical sciences of statistics and probability, their sub-disciplines, and related fields. For additional
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Data analysis approach in frequentist statistics
Estimation statistics, or simply estimation, is a data analysis framework that uses a combination of effect sizes, confidence intervals, precision planning
Estimation_statistics
Plot using the dispersal of scattered dots to show the relationship between variables
mathematical art software Scagnostics Dot plot (statistics) Parity plot Jarrell, Stephen B. (1994). Basic Statistics (Special pre-publication ed.). Dubuque, Iowa:
Scatter_plot
Sampling from a population which can be partitioned into subpopulations
In statistics, stratified sampling is a method of sampling from a population which can be partitioned into subpopulations. In statistical surveys, when
Stratified_sampling
Interpretation of probability
contributors to "classical" statistics in the early 20th century included Fisher, Neyman, and Pearson. Fisher contributed to most of statistics and made significance
Frequentist_probability
statistics, to not engender bias or unduly draw conclusions, forensic statisticians report likelihoods as likelihood ratios (LR). Spatial statistics is
List of fields of application of statistics
List_of_fields_of_application_of_statistics
Method of plotting numeric data
the number of samples is not too high. While a box plot shows a summary statistics such as median and interquartile ranges, the violin plot shows the full
Violin_plot
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