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Statistical model validation technique
Cross-validation, sometimes called rotation estimation or out-of-sample testing, is any of various similar model validation techniques for assessing how
Cross-validation_(statistics)
Topics referred to by the same term
Look up cross-validation in Wiktionary, the free dictionary. Cross-validation may refer to: Cross-validation (statistics), a technique for estimating the
Cross-validation
Family of statistical methods based on sampling of available data
the validation set. Averaging the quality of the predictions across the validation sets yields an overall measure of prediction accuracy. Cross-validation
Resampling_(statistics)
Evaluating whether a chosen statistical model is appropriate or not
the residual plots may indicate a flaw in the model. Cross validation is a method of model validation that iteratively refits the model, each time leaving
Statistical_model_validation
Topics referred to by the same term
Look up validation or validate in Wiktionary, the free dictionary. Validation may refer to: Data validation, in computer science, ensuring that data inserted
Validation
Method of measuring prediction error
(meta-algorithm) Bootstrap aggregating Bootstrapping (statistics) Cross-validation (statistics) Random forest Random subspace method (attribute bagging)
Out-of-bag_error
Tasks in machine learning
never been used (for example in cross-validation), the test data set is called a holdout data set. The term "validation set" is sometimes used instead
Training, validation, and test data sets
Training,_validation,_and_test_data_sets
Statistic in regression analysis
In statistics, the predicted residual error sum of squares (PRESS) is a form of cross-validation used in regression analysis to provide a summary measure
PRESS_statistic
Topics referred to by the same term
variation, a measure of dispersion of a probability distribution Cross-validation (statistics), a method to separate data in machine learning Computer vision
CV
Extent to which a measurement corresponds to reality
Construct validity Cross-validation (statistics) External validity Face validity Internal validity Predictive validity Regression model validation Statistical
Validity_(statistics)
Cross-covariance Cross-entropy method Cross-sectional data Cross-sectional regression Cross-sectional study Cross-spectrum Cross tabulation Cross-validation (statistics)
List_of_statistics_articles
Overview of and topical guide to statistics
Generative model Discriminative model Online machine learning Cross-validation (statistics) Recursive Bayesian estimation Kalman filter Particle filter
Outline_of_statistics
Plot of machine learning model performance over time or experience
Bias–variance tradeoff Model selection Cross-validation (statistics) Validity (statistics) Verification and validation Double descent "Mohr, Felix and van
Learning curve (machine learning)
Learning_curve_(machine_learning)
Statistics concept
development in medical statistics is the use of out-of-sample cross validation techniques in meta-analysis. It forms the basis of the validation statistic, Vn
Regression_validation
Property of a model
learners in a way that reduces their variance. Model validation methods such as cross-validation (statistics) can be used to tune models so as to optimize the
Bias–variance_tradeoff
Overview of and topical guide to machine learning
clustering Correspondence analysis Coupled pattern learner Cross-entropy method Cross-validation (statistics) Crossover (genetic algorithm) Cuckoo search Cultural
Outline_of_machine_learning
Method in machine learning
accuracy". Boosting (machine learning) Bootstrapping (statistics) Cross-validation (statistics) Out-of-bag error Random forest Random subspace method
Bootstrap_aggregating
Statistical method for resampling
In statistics, the jackknife (jackknife cross-validation) is a cross-validation technique and, therefore, a form of resampling. It is especially useful
Jackknife_resampling
Concept in statistical science
predict data it wasn't trained on. It is asymptotically equivalent to cross-validation loss. Lower values of WAIC correspond to better performance. If we
Widely applicable information criterion
Widely_applicable_information_criterion
Grouping a set of objects by similarity
to the creation of new types of clustering algorithms. Evaluation (or "validation") of clustering results is as difficult as the clustering itself. Popular
Cluster_analysis
Statistical method
procedure, used to estimate biases of sample statistics and to estimate variances, and cross-validation, in which the parameters (e.g., regression weights
Bootstrapping_(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)
Topics referred to by the same term
fighting vehicle design of the United States Generalized Cross Validation, a technique in statistics This disambiguation page lists articles associated with
GCV
Study of collection and analysis of data
Statistics (from German: Statistik, orig. "description of a state, a country") is the discipline that concerns the collection, organization, analysis,
Statistics
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)
Estimator for quality of a statistical model
Information Criterion Statistics, D. Reidel. Stone, M. (1977), "An asymptotic equivalence of choice of model by cross-validation and Akaike's criterion"
Akaike_information_criterion
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)
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
Statistics published by government agencies
Official statistics are statistics published by government agencies or other public bodies such as international organizations as a public good. They
Official_statistics
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
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
Statistical method
"On Stratification, Grouping and Matching". Scandinavian Journal of Statistics. 7 (2): 61–66. JSTOR 4615774. Kupper, Lawrence L.; Karon, John M.; Kleinbaum
Matching_(statistics)
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)
Metric for fit of statistical models
popular statistics textbook by Robert R. Sokal and F. James Rohlf. All models are wrong Deviance (statistics) Overfitting Statistical model validation Theil–Sen
Goodness_of_fit
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 measure of the magnitude of a phenomenon
In statistics, an effect size is a quantitative measure of the magnitude and often direction of a phenomenon. It can refer to the value of a statistic
Effect_size
Type of statistics
descriptive statistics may be used to describe the relationship between pairs of variables. In this case, descriptive statistics include: Cross-tabulations
Descriptive_statistics
Covariance and correlation
zero, and its size will be the signal energy. In probability and statistics, the term cross-correlations refers to the correlations between the entries of
Cross-correlation
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)
Process in machine learning and statistics
algorithm. In machine learning, this is typically done by cross-validation. In statistics, some criteria are optimized. This leads to the inherent problem
Feature_selection
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
American statistician
smoothing noisy data. Best known for the development of generalized cross-validation and "Wahba's problem", she has developed methods with applications
Grace_Wahba
Distinction between nominal, ordinal, interval and ratio variables
of Scale Validation with Hu & Bentler (1999)". Annual Review of Psychology 77: 567–591. Michell, J. (1986). "Measurement scales and statistics: a clash
Level_of_measurement
Method of estimating the parameters of a statistical model, given observations
In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of an assumed probability distribution, given some observed
Maximum_likelihood_estimation
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
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)
Concept in machine learning
Premature featurization; leaking from premature featurization before Cross-validation/Train/Test split (must fit MinMax/ngrams/etc on only the train split
Leakage_(machine_learning)
Probabilistic problem-solving algorithm
the reliability of random number generators, and the verification and validation of the results. Monte Carlo methods vary, but tend to follow a particular
Monte_Carlo_method
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
Statistical phenomenon
In statistics, regression toward the mean (also called regression to the mean, reversion to the mean, and reversion to mediocrity) is the phenomenon where
Regression_toward_the_mean
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
Nonparametric measure of rank correlation
In statistics, Spearman's rank correlation coefficient or Spearman's ρ is a number ranging from −1 to 1 that indicates how strongly two sets of ranks are
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Diagnostic plot of binary classifier ability
Pontius, Jr, Robert Gilmore; Pacheco, Pablo (2004). "Calibration and validation of a model of forest disturbance in the Western Ghats, India 1920–1990"
Receiver operating characteristic
Receiver_operating_characteristic
Sequence of data points over time
seasonal effects, and irregular fluctuations. Time series are widely used in statistics, actuarial science, signal processing, pattern recognition, econometrics
Time_series
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 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 parameters
Double_descent
Process of evaluating 3-dimensional atomic models of biomacromolecules
(model-to-data validation), and finally validation on the model itself. While the first two steps are specific to the technique used, validating the arrangement
Structure_validation
Statistical sampling technique
Lilliefors Jarque–Bera Normality (Shapiro–Wilk) Model selection Cross validation AIC BIC Rank statistics Sign Sample median Signed rank (Wilcoxon) Hodges–Lehmann
Latin_hypercube_sampling
The following is a timeline of probability and statistics. 8th century – Al-Khalil, an Arab mathematician studying cryptology, wrote the Book of Cryptographic
Timeline of probability and statistics
Timeline_of_probability_and_statistics
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
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)
Computational method in Bayesian statistics
posterior predictive distribution of summary statistics to the summary statistics observed. Beyond that, cross-validation techniques and predictive checks represent
Approximate Bayesian computation
Approximate_Bayesian_computation
Approximation method in statistics
come from an exponential family with identity as its natural sufficient statistics and mild-conditions are satisfied (e.g. for normal, exponential, Poisson
Least_squares
Statistical method for handling multiple comparisons
In statistics, the false discovery rate (FDR) is a method of conceptualizing the rate of type I errors in null hypothesis testing when conducting multiple
False_discovery_rate
Graphical representation of the distribution of numerical data
be generalized beyond normal distributions, by using leave-one out cross validation: a r g m i n h J ^ ( h ) = a r g m i n h ( 2 ( n − 1 ) h − n + 1 n
Histogram
itemizes the various lists of statistics topics. Outline of statistics Outline of regression analysis Index of statistics articles List of scientific method
Lists_of_statistics_topics
Class of statistics in estimation theory
needed] In elementary statistics, U-statistics arise naturally in producing minimum-variance unbiased estimators. The theory of U-statistics allows a minimum-variance
U-statistic
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
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
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)
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
Measure of statistical dispersion
In 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
Interquartile_range
Method of statistical inference
within statistics, but a limited amount of development continues. An academic study states that the cookbook method of teaching introductory statistics leaves
Statistical_hypothesis_test
Statistics is the theory and application of mathematics to the scientific method including hypothesis generation, experimental design, sampling, data collection
Founders_of_statistics
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
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
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)
Collection of statistical models
discussed previously. The test statistics of this derived linear model are closely approximated by the test statistics of an appropriate normal linear
Analysis_of_variance
Statistical measure of variability
In statistics, the median absolute deviation (MAD), also referred to as the median absolute deviation from the median (MADFM), is a robust or outlier-resistant
Median_absolute_deviation
Kth smallest value in a statistical sample
In statistics, the kth 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
Type of study based on universal sampling
research, epidemiology, social science, and biology, a cross-sectional study (also known as a cross-sectional analysis, transverse study, prevalence study)
Cross-sectional_study
Statistics concept
In statistics, polynomial regression is a form of regression analysis in which the relationship between the independent variable x and the dependent variable
Polynomial_regression
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)
Model for generating observable data in probability and statistics
getting the best of both worlds", in Bernardo, J. M. (ed.), Bayesian statistics 8: proceedings of the eighth Valencia International Meeting, June 2-6
Generative_model
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 model for a binary dependent variable
In statistics, a logistic model (or logit model) is a statistical model that models the log-odds of an event as a linear combination of one or more independent
Logistic_regression
Statistical modeling method
In statistics, linear regression is a model that estimates the relationship between a scalar response (dependent variable) and one or more explanatory
Linear_regression
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)
Algorithmically generated data that have a similar distribution as sampled data
Typically created using algorithms, synthetic data can be deployed to validate mathematical models and to train machine learning models. Data generated
Synthetic_data
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
Linear regression model with a single explanatory variable
In statistics, simple linear regression (SLR) is a linear regression model with a single explanatory variable. That is, it concerns two-dimensional sample
Simple_linear_regression
Measures of the characteristics of, or changes to, a population
Demographic statistics are measures of the characteristics of, or changes to, a population. Records of births, deaths, marriages, immigration and emigration
Demographic_statistics
Branch of statistics
Survival analysis is a branch of statistics for analyzing the expected duration of time until one event occurs, such as death in biological organisms and
Survival_analysis
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
Mathematical folklore
in almost all of science and statistics to answer this question – to choose between C and D – by running cross-validation on d with those two algorithms
No_free_lunch_theorem
Type of bar chart
Lilliefors Jarque–Bera Normality (Shapiro–Wilk) Model selection Cross validation AIC BIC Rank statistics Sign Sample median Signed rank (Wilcoxon) Hodges–Lehmann
Tornado_diagram
Number between two given numbers
Lilliefors Jarque–Bera Normality (Shapiro–Wilk) Model selection Cross validation AIC BIC Rank statistics Sign Sample median Signed rank (Wilcoxon) Hodges–Lehmann
Heronian_mean
Type of statistics
Robust statistics are statistics that maintain their properties even if the underlying distributional assumptions are incorrect. Robust statistical methods
Robust_statistics
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)
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
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