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Statistics concept
In statistics, regression validation is the process of deciding whether the numerical results quantifying hypothesized relationships between variables
Regression_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
Set of statistical processes for estimating the relationships among variables
called regressors, predictors, covariates, explanatory variables or features). The most common form of regression analysis is linear regression, in which
Regression_analysis
Statistical modeling method
regression; a model with two or more explanatory variables is a multiple linear regression. This term is distinct from multivariate linear regression
Linear_regression
Family of statistical methods based on sampling of available data
uses the sample median; to estimate the population regression line, it uses the sample regression line. It may also be used for constructing hypothesis
Resampling_(statistics)
Statistical model for count data
Poisson regression is a generalized linear model form of regression analysis used to model count data and contingency tables. Poisson regression assumes
Poisson_regression
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)
Moving average and polynomial regression method for smoothing data
Local regression or local polynomial regression, also known as moving regression, is a generalization of the moving average and polynomial regression. Its
Local_regression
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
Regularization technique for ill-posed problems
Ridge regression (also known as Tikhonov regularization, named for Andrey Tikhonov) is a method of estimating the coefficients of multiple-regression models
Ridge_regression
Specialized form of regression analysis, in statistics
In robust statistics, robust regression seeks to overcome some limitations of traditional regression analysis. A regression analysis models the relationship
Robust_regression
Statistical method
squares (PLS) regression is a statistical method that bears some relation to principal components regression and is a reduced rank regression; instead of
Partial least squares regression
Partial_least_squares_regression
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
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
Approximation method in statistics
as the least angle regression algorithm. One of the prime differences between Lasso and ridge regression is that in ridge regression, as the penalty is
Least_squares
Regression analysis for modeling ordinal data
In statistics, ordinal regression, also called ordinal classification, is a type of regression analysis used for predicting an ordinal variable, i.e.
Ordinal_regression
Class of statistical survival models
itself be described as a regression model. There is a relationship between proportional hazards models and Poisson regression models which is sometimes
Proportional_hazards_model
How many standard deviations apart from the mean an observed datum is
to multiple regression analysis is sometimes used as an aid to interpretation. (page 95) state the following. "The standardized regression slope is the
Standard_score
Method of statistical analysis
Bayesian linear regression is a type of conditional modeling in which the mean of one variable is described by a linear combination of other variables
Bayesian_linear_regression
Regression analysis technique
In statistics, binomial regression is a regression analysis technique in which the response (often referred to as Y) has a binomial distribution: it is
Binomial_regression
Regression algorithm
In statistics, least-angle regression (LARS) is an algorithm for fitting linear regression models to high-dimensional data, developed by Bradley Efron
Least-angle_regression
Method for estimating the unknown parameters in a linear regression model
especially in the case of a simple linear regression, in which there is a single regressor on the right side of the regression equation. The OLS estimator is consistent
Ordinary_least_squares
Statistical hypothesis test
that a proposed regression model fits the data well. See Lack-of-fit sum of squares. The hypothesis that a data set in a regression analysis follows
F-test
Metric for fit of statistical models
Density Based Empirical Likelihood Ratio tests In regression analysis, more specifically regression validation, the following topics relate to goodness of fit:
Goodness_of_fit
Concept in statistical analysis
Through regression analysis, one can derive the equation for the curve or straight line and obtain the correlation coefficient. Simple linear regression is
Bivariate_analysis
Statistical modeling technique
Quantile regression is a type of regression analysis used in statistics and econometrics. Whereas the method of least squares estimates the conditional
Quantile_regression
Concept in statistical mathematics
Segmented regression, also known as piecewise regression or broken-stick regression, is a method in regression analysis in which the independent variable
Segmented_regression
Class of statistical models
(GLM) is a flexible generalization of ordinary linear regression. The GLM generalizes linear regression by allowing the linear model to be related to the
Generalized_linear_model
Statistical model for a binary dependent variable
combination of one or more independent variables. In regression analysis, logistic regression (or logit regression) estimates the parameters of a logistic model
Logistic_regression
Estimator for quality of a statistical model
loss.) Comparison of AIC and BIC in the context of regression is given by Yang (2005). In regression, AIC is asymptotically optimal for selecting the model
Akaike_information_criterion
Concept in machine learning
to perform better with larger models. Double descent occurs in linear regression with isotropic Gaussian covariates and isotropic Gaussian noise. A model
Double_descent
Measure of linear correlation
Standardized covariance Standardized slope of the regression line Geometric mean of the two regression slopes Square root of the ratio of two variances
Pearson correlation coefficient
Pearson_correlation_coefficient
Test statistic
when using OLS regression gretl: Automatically calculated when using OLS regression Stata: the command estat dwatson, following regress in time series
Durbin–Watson_statistic
Method of statistical factor analysis
In statistics, stepwise regression is a method of fitting regression models in which the choice of predictive variables is carried out by an automatic
Stepwise_regression
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
Parametric model in survival analysis
=\exp(-[\beta _{1}X_{1}+\cdots +\beta _{p}X_{p}])} . (Specifying the regression coefficients with a negative sign implies that high values of the covariates
Accelerated failure time model
Accelerated_failure_time_model
Statistical property of collections of time series data
as more regressors are included. If the variables are found to be cointegrated, a second-stage regression is conducted. This is a regression of Δ y t
Cointegration
Type of statistical measure over subsets of a dataset
various applications in image signal processing. In a moving average regression model, a variable of interest is assumed to be a weighted moving average
Moving_average
Simultaneous observation and analysis of more than one outcome variable
problems involving multivariate data, for example simple linear regression and multiple regression, are not usually considered to be special cases of multivariate
Multivariate_statistics
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
Regression analysis
In statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination
Nonlinear_regression
Fundamental theorem in probability theory and statistics
large-sample statistics to the normal distribution in controlled experiments. Regression analysis, and in particular ordinary least squares, specifies that a dependent
Central_limit_theorem
Method for model fitting in statistics
(WLS), also known as weighted linear regression, is a generalization of ordinary least squares and linear regression in which knowledge of the unequal variance
Weighted_least_squares
Sequence of data points over time
simple function (also called regression). The main difference between regression and interpolation is that polynomial regression gives a single polynomial
Time_series
Study of collection and analysis of data
doing regression. Least squares applied to linear regression is called ordinary least squares method and least squares applied to nonlinear regression is
Statistics
Categorization of data using statistics
logistic regression or a similar procedure, the properties of observations are termed explanatory variables (or independent variables, regressors, etc.)
Statistical_classification
Statistical property
which performs an auxiliary regression of the squared residuals on the independent variables. From this auxiliary regression, the explained sum of squares
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
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
Statistical model allowing for frequent zero values
distribution or a negative binomial distribution. Hilbe notes that "Poisson regression is traditionally conceived of as the basic count model upon which a variety
Zero-inflated_model
Middle quantile of a data set or probability distribution
distributions. The Theil–Sen estimator is a method for robust linear regression based on finding medians of slopes. The median filter is an important
Median
Overview of and topical guide to statistics
sampling Biased sample Spectrum bias Survivorship bias Regression analysis Outline of regression analysis Analysis of variance (ANOVA) General linear model
Outline_of_statistics
Statistical hypothesis test
the linear regression to the result from the t-test. From the t-test, the difference between the group means is 6-2=4. From the regression, the slope
Student's_t-test
Statistical measure of association
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Cramér's_V
Statistical method
parametric (normally polynomial regression). The most common non-parametric method used in the RDD context is a local linear regression. This is of the form: Y
Regression discontinuity design
Regression_discontinuity_design
General linear model that blends ANOVA and regression
linear regression assumptions hold; further we assume that the slope of the covariate is equal across all treatment groups (homogeneity of regression slopes)
Analysis_of_covariance
Number of values in the final calculation of a statistic that are free to vary
regression methods, including regularized least squares (e.g., ridge regression), linear smoothers, smoothing splines, and semiparametric regression,
Degrees of freedom (statistics)
Degrees_of_freedom_(statistics)
Four data sets with the same descriptive statistics, yet very different distributions
Exploratory data analysis Goodness of fit Regression validation Simpson's paradox Statistical model validation Anscombe, F. J. (1973). "Graphs in Statistical
Anscombe's_quartet
Range to estimate an unknown parameter
under Excel Confidence interval calculators for R-Squares, Regression Coefficients, and Regression Intercepts Weisstein, Eric W. "Confidence Interval". MathWorld
Confidence_interval
Statistics concept
distinction is most important in regression analysis, where the concepts are sometimes called the regression errors and regression residuals and where they lead
Errors_and_residuals
Statistical method
testing. In regression problems, case resampling refers to the simple scheme of resampling individual cases – often rows of a data set. For regression problems
Bootstrapping_(statistics)
Method used in statistics, pattern recognition, and other fields
categorical dependent variable (i.e. the class label). Logistic regression and probit regression are more similar to LDA than ANOVA is, as they also explain
Linear_discriminant_analysis
Regression for more than two discrete outcomes
In statistics, multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems, i.e. with more than
Multinomial logistic regression
Multinomial_logistic_regression
Category of regression analysis
Nonparametric regression is a form of regression analysis where the predictor does not take a predetermined form but is completely constructed using information
Nonparametric_regression
Collection of statistical models
notation in place, we now have the exact connection with linear regression. We simply regress response y k {\displaystyle y_{k}} against the vector X k {\displaystyle
Analysis_of_variance
Concept in probability theory and statistics
for including other right-side variables in a multiple regression; but while multiple regression gives unbiased results for the effect size, it does not
Partial_correlation
Statistical technique
used for estimating the unknown regression coefficients in a standard linear regression model. In PCR, instead of regressing the dependent variable on the
Principal component regression
Principal_component_regression
Statistical transformation
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Fisher_transformation
Measure of covariance of components of a random vector
{YX} }\operatorname {K} _{\mathbf {XX} }^{-1}} is known as the matrix of regression coefficients, while in linear algebra K Y | X {\displaystyle \operatorname
Covariance_matrix
Theory and technique of psychological measurement
consultants. Some psychometric researchers focus on the construction and validation of assessment instruments, including surveys, scales, and open- or closed-ended
Psychometrics
Images used to represent statistical data visually
data set to help with testing assumptions, model selection and regression model validation, estimator selection, relationship identification, factor effect
Statistical_graphics
Regression models that combine parametric and nonparametric models
In statistics, semiparametric regression includes regression models that combine parametric and nonparametric models. They are often used in situations
Semiparametric_regression
Unit of information
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Data
Variable capable of taking on a limited number of possible values
distribution (the Bernoulli distribution) and separate regression models (logistic regression, probit regression, etc.). As a result, the term "categorical variable"
Categorical_variable
Statistical relationship
variables have the same mean (7.5), variance (4.12), correlation (0.816) and regression line ( y = 3 + 0.5 x {\textstyle y=3+0.5x} ). However, as can be seen
Correlation
Science of extracting information from chemical systems by data-driven means
calibration techniques such as partial-least squares regression, or principal component regression (and near countless other methods) are then used to
Chemometrics
Type of mathematical model
being 1.5 meters tall. We could formalize that relationship in a linear regression model, like this: heighti = b0 + b1agei + εi, where b0 is the intercept
Statistical_model
Collection of statistical data sets
Exploratory data analysis Goodness of fit Regression validation Simpson's paradox Statistical model validation Anscombe's quartet Matejka, Justin; Fitzmaurice
Datasaurus_dozen
Least squares approximation of linear functions to data
^{\mathsf {T}}\mathbf {y} .} Optimal instruments regression is an extension of classical IV regression to the situation where E[εi | zi] = 0. Total least
Linear_least_squares
Statistical test
however, not actually t-distributed except for the special case of linear regression with normally distributed errors. In general, it follows an asymptotic
Wald_test
Circular statistical graph of proportionality
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Pie_chart
Method of data analysis
principal components and then run the regression against them, a method called principal component regression. Dimensionality reduction may also be appropriate
Principal_component_analysis
Plot using the dispersal of scattered dots to show the relationship between variables
For a linear correlation, the best-fit procedure is known as linear regression and is guaranteed to generate a correct solution in a finite time. No
Scatter_plot
Method for solving certain optimization problems
maximum likelihood estimates of a generalized linear model, and in robust regression to find an M-estimator, as a way of mitigating the influence of outliers
Iteratively reweighted least squares
Iteratively_reweighted_least_squares
Comparison of two distributions
determinations such as this possible. The intercept and slope of a linear regression between the quantiles gives a measure of the relative location and relative
Q–Q_plot
Statistical property
measure of the dispersion of sample means around the population mean. In regression analysis, the term "standard error" can also be used to refer to the square
Standard_error
Distinction between nominal, ordinal, interval and ratio variables
3.398. Mosteller, Frederick; Tukey, John W. (1977). Data analysis and regression : a second course in statistics. Reading, Mass: Addison-Wesley Pub. Co
Level_of_measurement
Statistical term
of variables. This includes models equivalent to any form of multiple regression analysis, factor analysis, canonical correlation analysis, discriminant
Path_analysis_(statistics)
Statistical regression technique
multilevel regression with poststratification model involves the following pair of steps: MRP step 1 (multilevel regression): The multilevel regression model
Multilevel regression with poststratification
Multilevel_regression_with_poststratification
Generalization of the one-dimensional normal distribution to higher dimensions
distribution of the vector of residuals in the ordinary least squares regression. The X i {\displaystyle X_{i}} are in general not independent; they can
Multivariate normal distribution
Multivariate_normal_distribution
Diagnostic plot of binary classifier ability
Notable proposals for regression problems are the so-called regression error characteristic (REC) Curves and the Regression ROC (RROC) curves. In the
Receiver operating characteristic
Receiver_operating_characteristic
Type of chart
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Radar_chart
Statistical hypothesis test for forecasting
Any particular lagged value of one of the variables is retained in the regression if (1) it is significant according to a t-test, and (2) it and the other
Granger_causality
Bias in causal inference
appearing on the right-hand side of the equation can be estimated by regression. Contrary to common beliefs, adding covariates to the adjustment set Z
Confounding
Method of estimating the parameters of a statistical model, given observations
analytically; for instance, the ordinary least squares estimator for a linear regression model maximizes the likelihood when the random errors are assumed to have
Maximum_likelihood_estimation
Diagnostic test or benchmark
Sanelli, PC (September 2010). "Developing a new reference standard: is validation necessary?". Academic Radiology. 17 (9): 1079–82. doi:10.1016/j.acra.2010
Gold_standard_(test)
Branch of statistics
time-varying covariates. The Cox PH regression model is a linear model. It is similar to linear regression and logistic regression. Specifically, these methods
Survival_analysis
Application of statistical techniques to biological systems
for visualization, clustering, regression, association rule, and classification. There are tools for cross-validation, bootstrapping and a module of algorithm
Biostatistics
Model for generating observable data in probability and statistics
necessarily perform better than generative models at classification and regression tasks. The two classes are seen as complementary or as different views
Generative_model
Relationship between items in a set
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Ranking
Statistical measure of variability
determination Regression analysis Errors and residuals Regression validation Mixed effects models Simultaneous equations models Multivariate adaptive regression splines
Median_absolute_deviation
REGRESSION VALIDATION
REGRESSION VALIDATION
Surname or Lastname
English (chiefly West Midlands)
English (chiefly West Midlands) : nickname for a trustworthy person, from Middle English trow(e), trew(e) ‘faithful’, ‘steadfast’.English : variant of Tree, from Middle English trow, trew.English : topographic name for someone who lived near a depression in the ground, from Middle English trow ‘trough’, ‘hollow’.Translated form of French Jetté (see Jette). Trow represents the French Canadian pronunciation of English ‘throw’.
Surname or Lastname
English (Yorkshire and Lancashire)
English (Yorkshire and Lancashire) : topographic name for someone who lived by a depression or low-lying spot, from Old English holh ‘hole’, ‘hollow’, ‘depression’ (see Hole).Irish : reduced Anglicized form of Gaelic Mac Giolla Chomhghaill, a patronymic from a personal name meaning ‘devotee of (Saint) Comhghal’ (see McCool). Woulfe, however, traces Hoyle (as well as MacIlhoyle and McElhill) to Mac Giolla Choille ‘son of the lad of the wood’, which has sometimes been translated as Woods.
Boy/Male
Tamil
Chervik | சேரà¯à®µà®¿à®•
Validation
Chervik | சேரà¯à®µà®¿à®•
Surname or Lastname
English
English : from a medieval personal name, a short form of Philpott.English : topographic name for someone who lived by a depression in the ground, from Middle English pot ‘drinking or storage vessel’ used in this transferred sense, or a habitational name from one of the minor places deriving their name from this word, in the sense ‘pit’, ‘hole’.English and North German (Lower Rhine-Westphalia) : metonymic occupational name for a potter, from Middle English, Middle Low German pot ‘pot’. See also Potter.North German : topographic name for someone living on a low-lying plot, from Low German dialect pÅt ‘puddle’.
Boy/Male
Arabic, Muslim
Leadership; Individuality; Aggression; Self-confidence; Originality; Impatience.
Boy/Male
Hindu
Validation
Surname or Lastname
English (mainly southwest England)
English (mainly southwest England) : topographic name for someone who lived by a depression or low-lying spot, from Old English holh ‘hole’, ‘hollow’, ‘depression’.Norwegian : habitational name from any of numerous farmsteads, so named from the dative singular or indefinite plural form of Old Norse hóll ‘round hill’, ‘mound’.Shortened form of Dutch van (den) Hole, a habitational name from the common place name Hol, meaning ‘hollow’, ‘depression’, ‘valley’, or a topographic name from the same term.
Male
Greek
(Καϊάφας) Greek form of Aramaic Qayyafa ("depression"), KAIAPHAS means "as comely." In the New Testament bible, this is the name of a high priest of the Jews.Â
REGRESSION VALIDATION
REGRESSION VALIDATION
Surname or Lastname
English
English : of unknown etymology. It looks like a habitational name, but no place of this name is known in Britain. The proposed etymology from an Old English personal name, Higbert, is equally doubtful.The name was brought to North America in the 1640s from Ivinghoe in Buckinghamshire, England.
Boy/Male
Muslim
Unique. Single. Exclusively. Unequalled.
Girl/Female
Latin American
Palm tree.
Girl/Female
Indian
Alert, Nocturnal, Mountain
Surname or Lastname
English and Scottish
English and Scottish : of uncertain origin; in part it may be a shortened form of McCall.Probably also an Americanized spelling of Ahl or Al.
Girl/Female
Christian & English(British/American/Australian)
To Open Up
Boy/Male
Hindu
God
Surname or Lastname
English
English : variant spelling of Taylor.Indian (Gujarat and Bombay city) : Hindu and Parsi occupational name from the English word tailor.
Boy/Male
Native American
Eagle.
Boy/Male
English
From the farm on the fens.
REGRESSION VALIDATION
REGRESSION VALIDATION
REGRESSION VALIDATION
REGRESSION VALIDATION
REGRESSION VALIDATION
n.
Aggression.
n.
Depression of spirits; discouragement.
n.
The act of ceding back; restoration; repeated cession; as, the recession of conquered territory to its former sovereign.
n.
The act of going; egress.
n.
The first attack, or act of hostility; the first act of injury, or first act leading to a war or a controversy; unprovoked attack; assault; as, a war of aggression. "Aggressions of power."
n.
Digression.
n.
A cavity; a depression.
n.
A casting down; depression.
n.
The act of passing back or returning; retrogression; retrogradation.
n.
The act of repressing, or state of being repressed; as, the repression of evil and evil doers.
adv.
In a regressive manner.
n.
Course; passage; lapse or process of time.
n.
Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic.
n.
A regular succession of tones or chords; the movement of the parts in harmony; the order of the modulations in a piece from key to key.
n.
That which represses; check; restraint.
n.
Depression of the jaw; hence, depression of spirits.
n.
Dejection; depression.
n.
The act of moving forward; a proceeding in a course; motion onward.
adv.
In harmonical progression.
adv.
By way of digression.