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In statistics, the correlation ratio is a measure of the curvilinear association between the statistical dispersion within individual categories and the
Correlation_ratio
Measure of linear correlation
unqualified correlation coefficient, is a correlation coefficient that measures linear correlation between two sets of data. It is the ratio between the
Pearson correlation coefficient
Pearson_correlation_coefficient
Statistical relationship
variables. The correlation ratio, entropy-based mutual information, total correlation, dual total correlation and polychoric correlation are all also capable
Correlation
Numerical measure of a statistical relationship between variables
between variables. Correlation disattenuation Coefficient of determination Correlation and dependence Correlation ratio Distance correlation Goodness of fit
Correlation_coefficient
Descriptive statistic
In statistics, the intraclass correlation, or the intraclass correlation coefficient (ICC), is a descriptive statistic that can be used when quantitative
Intraclass_correlation
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
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Concept in statistics
In statistics, spurious correlation of ratios is a form of spurious correlation that arises between ratios of absolute measurements which themselves are
Spurious correlation of ratios
Spurious_correlation_of_ratios
Correlation of a signal with a time-shifted copy of itself, as a function of shift
Autocorrelation, sometimes known as serial correlation in the discrete time case, measures the correlation of a signal with a delayed copy of itself.
Autocorrelation
Analytic method in statistics
{\displaystyle z} ; η 2 ( z , q ) {\displaystyle \eta ^{2}(z,q)} the squared correlation ratio between variables z {\displaystyle z} and q {\displaystyle q} . In
Factor_analysis_of_mixed_data
Ratio of lengths of fingers
study examining the correlation between assertiveness in women and their digit ratio, which found that women with a lower 2D:4D ratio reported greater assertiveness
Digit_ratio
Statistic quantifying the association between two events
event occurring. Note that the odds ratio is symmetric in the two events, and no causal direction is implied (correlation does not imply causation): an OR
Odds_ratio
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
In statistics, a measurement of the agreement between two variables
In statistics, the concordance correlation coefficient measures the agreement between two variables, e.g., to evaluate reproducibility or for inter-rater
Concordance correlation coefficient
Concordance_correlation_coefficient
Statistical measure of the magnitude of a phenomenon
so does not convey the direction of the correlation between the two variables. Eta-squared describes the ratio of variance explained in the dependent variable
Effect_size
Table that displays the frequency of variables
the Theory of Contingency and Its Relation to Association and Normal Correlation", part of the Drapers' Company Research Memoirs Biometric Series I published
Contingency_table
Covariance and correlation
In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This
Cross-correlation
function (quantum field theory) Correlation function (statistical mechanics) Correlation inequality Correlation ratio Correlogram Correspondence analysis
List_of_statistics_articles
Formula for measuring financial risk
hire portfolio managers with low and even negative Sharpe ratios, as long as their correlation to the other portfolio managers is sufficiently low. Goetzmann
Sharpe_ratio
Concept in statistical analysis
letter r. Pearson's correlation coefficient is used when both variables are measured on an interval or ratio scale. Other correlation coefficients or analyses
Bivariate_analysis
Concept in probability theory and statistics
In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of
Partial_correlation
can be used as an intermediate step in the development of Pearson's correlation coefficient. To calculate the QCR, the data are divided into quadrants
Quadrant_count_ratio
Indicator for how well data points fit a line or curve
(which includes an intercept), r2 is simply the square of the sample correlation coefficient (r), between the observed outcomes and the observed predictor
Coefficient_of_determination
Statistical tool to assess investments
The Deflated Sharpe ratio (DSR) is a statistical method used to determine whether the Sharpe ratio of an investment strategy is statistically significant
Deflated_Sharpe_ratio
Indicator in finance
serial correlation is the Ljung-Box Q-Statistic. The p-values of the Q-statistic establish the significance of the serial correlation. The bias ratios compared
Bias_ratio
Test statistic
James Durbin and Geoffrey Watson. The small sample distribution of this ratio was derived by John von Neumann (von Neumann, 1941). Durbin and Watson (1950
Durbin–Watson_statistic
Statistical measure of a test's accuracy
take true negatives into account, hence measures such as the Matthews correlation coefficient, Informedness or Cohen's kappa may be preferred to assess
F-score
Statistical measure of association for two binary variables
known as the mean square contingency coefficient or Yule coefficient of correlation and commonly denoted by φ or rφ, is a measure of association between
Phi_coefficient
Method of rating a pipe's durability against pressure
Standard dimension ratio (SDR) is a method of rating a pipe's durability against pressure. The standard dimension ratio describes the correlation between the
Standard_dimension_ratio
Method used in statistics, pattern recognition, and other fields
the canonical correlation is the preferred measure of effect size. It is similar to the eigenvalue, but is the square root of the ratio of SSbetween and
Linear_discriminant_analysis
Statistic for rank correlation
In statistics, the Kendall rank correlation coefficient, commonly referred to as Kendall's τ coefficient (after the Greek letter τ, tau), is a statistic
Kendall rank correlation coefficient
Kendall_rank_correlation_coefficient
Way of inferring information from cross-covariance matrices
are correlations among the variables, then canonical-correlation analysis will find linear combinations of X and Y that have a maximum correlation with
Canonical_correlation
Ratio of males to females in a population
secondary sex ratio — ratio at birth tertiary sex ratio — ratio in sexually mature organisms The tertiary sex ratio is equivalent to the adult sex ratio (ASR)
Sex_ratio
Seventeenth letter of the Greek alphabet
of the position and nature of the substituents of the benzene ring. Correlation coefficient in meteorology (ρhv) In mathematics to represent: A length
Rho
Statistical bias in linear regressions
procedure is also called correlation disattenuation or the disattenuation of correlation. The correction assures that the Pearson correlation coefficient across
Regression_dilution
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
probability distribution or frequency distribution. It is defined as the ratio of the standard deviation σ {\displaystyle \sigma } to the mean μ {\displaystyle
Coefficient_of_variation
Collection of statistical models
formal analysis in a 1918 article on theoretical population genetics, The Correlation Between Relatives on the Supposition of Mendelian Inheritance. His first
Analysis_of_variance
Sequence of data points over time
auto-correlation and cross-correlation analysis. In the time domain, correlation and analysis can be made in a filter-like manner using scaled correlation
Time_series
Theory and technique of psychological measurement
split-half coefficients. Other approaches include the intraclass correlation, which is the ratio of variance of measurements of a given target to the variance
Psychometrics
Signal-to-noise measure used in imaging
two-dimensional spectral signal-to-noise ratio (SSNR) is a signal-to-noise ratio measure which measures the normalised cross-correlation coefficient between several
Spectral signal-to-noise ratio
Spectral_signal-to-noise_ratio
Statistic comparing ordinal rankings
In statistics, a rank correlation is any of several statistics that measure an ordinal association — the relationship between rankings of different ordinal
Rank_correlation
Diagnostic plot of binary classifier ability
prediction from the real class) and their geometric mean is the Matthews correlation coefficient.[citation needed] Whereas ROC AUC varies between 0 and 1
Receiver operating characteristic
Receiver_operating_characteristic
Nonparametric test of the null hypothesis
measure of rank correlation known as the rank-biserial correlation. Edward Cureton introduced and named the measure. Like other correlational measures, the
Mann–Whitney_U_test
Linear regression model with a single explanatory variable
case, the slope of the fitted line is equal to the correlation between y and x corrected by the ratio of standard deviations of these variables. The intercept
Simple_linear_regression
Function related to statistics and probability theory
JSTOR 2676741. Fisher, R.A. (1921). "On the "probable error" of a coefficient of correlation deduced from a small sample". Metron. 1: 3–32. Fisher, R.A. (1922). "On
Likelihood_function
Distinction between nominal, ordinal, interval and ratio variables
four levels, or scales, of measurement: nominal, ordinal, interval, and ratio. This framework of distinguishing levels of measurement originated in psychology
Level_of_measurement
Statistical hypothesis test
signed-rank test, one can use the rank-biserial correlation. If the test statistic T is reported, the rank correlation r is equal to the test statistic T divided
Wilcoxon_signed-rank_test
Pattern-recognition performance metrics
(the weighted harmonic mean of precision and recall), or the Matthews correlation coefficient, which is a geometric mean of the chance-corrected variants:
Precision_and_recall
Statistic measuring inter-rater agreement for categorical items
unweighted kappa calculation given above. Bangdiwala's B Intraclass correlation Krippendorff's alpha Statistical classification Banerjee, M.; Capozzoli
Cohen's_kappa
Statistical method
can be thought of as a special case of errors-in-variables models. The correlation between a variable and a given factor, called the variable's factor loading
Factor_analysis
There are a number of correlations for slip ratio. For homogeneous flow, S = 1 (i.e. there is no slip). The Chisholm correlation is: S = 1 − x ( 1 − ρ
Slip_ratio_(gas–liquid_flow)
Statistical modeling method
to use an all positive correlations (APC) arrangement of the strongly correlated variables under which pairwise correlations among these variables are
Linear_regression
Term in statistical hypothesis testing
(more data tends to provide more power), and the effect size (effects or correlations that are large relative to the variability of the data tend to provide
Power_(statistics)
Position that there is no relationship between two phenomena
significance testing.[citation needed]. Mathematics portal Bayes factor – Ratio of competing statistical models Burden of proof – Obligation on a party
Null_hypothesis
Dividing things between two categories
One can take ratios of a complementary pair of ratios, yielding four likelihood ratios (two column ratio of ratios, two row ratio of ratios). This is primarily
Binary_classification
Simultaneous observation and analysis of more than one outcome variable
over time. Iconography of correlations consists in replacing a correlation matrix by a diagram where the "remarkable" correlations are represented by a solid
Multivariate_statistics
Measure of the joint variability
not necessarily have the same units. In those situations, we use the correlation coefficient, which normalizes the covariance to a value between -1 and
Covariance
Type of statistical measure over subsets of a dataset
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Moving_average
Concept in inferential statistics
between two means in units of standard deviation (cf. Cohen's d), the correlation coefficient between two variables or its square, and other measures.
Statistical_significance
Quantitative measurement of accuracy
by taking ratios of these ratios, ratios of ratios, or more complicated functions. The contingency table and the most common derived ratios are summarized
Evaluation of binary classifiers
Evaluation_of_binary_classifiers
Statistical property
ordinary least squares is inefficient for a different reason: serial correlation. A = σ 2 [ 1 0 0 0 1 0 0 0 1 ] B = σ 2 [ 1 0 0 0 2 0 0 0 3 ] C = σ 2
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
Number of values in the final calculation of a statistic that are free to vary
would involve an observation covariance matrix Σ indicating the non-zero correlation among observations. The more general formulation of effective degree
Degrees of freedom (statistics)
Degrees_of_freedom_(statistics)
Statistical model for a binary dependent variable
significance of prediction. In linear regression the squared multiple correlation, R2 is used to assess goodness of fit as it represents the proportion
Logistic_regression
Comparison of two distributions
"probability plot correlation coefficient" (PPCC plot) is the correlation coefficient between the paired sample quantiles. The closer the correlation coefficient
Q–Q_plot
Statistical hypothesis test
variances. It is used to determine if the variances of two samples, or if the ratios of variances among multiple samples, are significantly different. The test
F-test
Aggregate stock market valuation metric
Buffett indicator (or the Buffett metric, or the Market capitalization-to-GDP ratio) is a valuation multiple used to assess how expensive or cheap the aggregate
Buffett_indicator
Prognostic marker
Lymphocyte ratio was first demonstrated as useful parameter after a correlation of a relationship between the neutrophil lymphocyte ratio to reactions
Neutrophil to lymphocyte ratio
Neutrophil_to_lymphocyte_ratio
Method of data analysis
"remarkable" correlations of the correlation matrix, by a solid line (positive correlation) or dotted line (negative correlation). A strong correlation is not
Principal_component_analysis
Statistical method
the distribution, such as percentile points, proportions, Odds ratio, and correlation coefficients. However, despite its simplicity, bootstrapping can
Bootstrapping_(statistics)
Concepts from statistical hypothesis testing
addressed through an "exaggeration factor", an assessment of the expected ratio of the absolute values of the estimate to the true value, conditional on
Type_I_and_type_II_errors
In probability, a theory
correlation between independent variables and the error term. James Heckman proposed a two-stage estimation procedure using the inverse Mills ratio to
Mills_ratio
Statistical transformation
z-transformation) of a Pearson correlation coefficient is its inverse hyperbolic tangent (artanh). When the sample correlation coefficient r is near 1 or
Fisher_transformation
Type of study based on universal sampling
describe, not only the odds ratio, but also absolute risks and relative risks from prevalences (sometimes called prevalence risk ratio, or PRR). They may be
Cross-sectional_study
Generates a forecast of future values of a time series
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Exponential_smoothing
Probabilistic problem-solving algorithm
from the origin of less than 1. The ratio of the inside-count and the total-sample-count is an estimate of the ratio of the two areas, π/4. Multiply the
Monte_Carlo_method
Age-population ratio of those in the labor force to those not in the labor force
investment projects. There is a correlation between labor force and housing markets, so when there is a high age-dependency ratio in a country, the investments
Dependency_ratio
Grouping a set of objects by similarity
subspace clustering and DiSH) and correlation clustering (HiCO, hierarchical correlation clustering, 4C using "correlation connectivity" and ERiC exploring
Cluster_analysis
Fundamental theorem in probability theory and statistics
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Central_limit_theorem
Class of statistical models
(GEEs) allow for the correlation between observations without the use of an explicit probability model for the origin of the correlations, so there is no explicit
Generalized_linear_model
Statistical measure of association
of their maximum possible variation. φc2 is the mean square canonical correlation between the variables.[citation needed] In the case of a 2 × 2 contingency
Cramér's_V
Overview of and topical guide to statistics
dispersion Variance Standard deviation Median absolute deviation Correlation Polychoric correlation Outlier Statistical graphics Histogram Frequency distribution
Outline_of_statistics
Method of estimating the parameters of a statistical model, given observations
JSTOR 2676741. Wilks, S.S. (1938). "The large-sample distribution of the likelihood ratio for testing composite hypotheses". Annals of Mathematical Statistics. 9:
Maximum_likelihood_estimation
Statistical test comparing two probability distributions
larger the sample sizes, the more sensitive the minimal bound: For a given ratio of sample sizes (e.g. m = n {\displaystyle m=n} ), the minimal bound scales
Kolmogorov–Smirnov_test
Plot using the dispersal of scattered dots to show the relationship between variables
positive correlation between the variables being studied. If the pattern of dots slopes from upper left to lower right, it indicates a negative correlation. A
Scatter_plot
Process of using data analysis for predicting population data from sample data
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Statistical_inference
Graphical representation of the distribution of numerical data
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Histogram
Form of scientific experiment
and nonindustry-sponsored RCTs, and in all the articles there was a correlation of industry sponsorship and positive study outcome. A 2004 study of 1999–2001
Randomized_controlled_trial
Approximation method in statistics
weighted least squares occurs when all the off-diagonal entries of Ω (the correlation matrix of the residuals) are null; the variances of the observations
Least_squares
Study of collection and analysis of data
Chi-squared test Correlation Factor analysis Mann–Whitney U Mean square weighted deviation (MSWD) Pearson product-moment correlation coefficient Regression
Statistics
Measure of the strength of a road subgrade
Bearing Ratio (CBR) is a measure of the strength of the subgrade of a road or other paved area, and of the materials used in its construction. The ratio is
California_bearing_ratio
N-th root of the product of n numbers
The average percentage growth is the geometric mean of the annual growth ratios (1.10, 0.88, 1.90, 0.70, 1.25), namely 1.0998, an annual average growth
Geometric_mean
Statistical distribution for dependence between random variables
interval [0, 1]. Copulas are used to describe / model the dependence (inter-correlation) between random variables. Their name, introduced by applied mathematician
Copula_(statistics)
Estimator for quality of a statistical model
likelihood of model i. It is closely related to the likelihood ratio used in the likelihood-ratio test. Indeed, if all the models in the candidate set have
Akaike_information_criterion
Statistical method for handling multiple comparisons
(incorrect rejections of the null). Equivalently, the FDR is the expected ratio of the number of false positive classifications (false discoveries) to the
False_discovery_rate
Enlargement of the heart
Two-Dimensional Cardiothoracic Ratio from Digital PA Chest Radiographs: Correlation with Cardiac Function and the Traditional Cardiothoracic Ratio". Journal of Digital
Cardiomegaly
Function of the observed sample results
exist. The null hypothesis is typically that some parameter (such as a correlation or a difference between means) in the populations of interest is zero
P-value
How many standard deviations apart from the mean an observed datum is
standardizing or normalizing (however, "normalizing" can refer to many types of ratios; see Normalization for more). Standard scores are most commonly called z-scores;
Standard_score
Rule in US private sector accounting
a commodity (hedged item) and its hedging instrument must have a correlation ratio between 80% and 125%, and the reporting enterprise must have hedge
FASB_133
Fourth standardized moment in statistics
distribution Grouped data Dependence Partial correlation Pearson product-moment correlation Rank correlation Kendall's τ Spearman's ρ Scatter plot Graphics
Kurtosis
Retrieved 15 October 2025. sample correlation coefficient between gold and silver price changes is .83 "Live Gold-Silver Ratio Calculator". MetalMetric. Retrieved
Silver_as_an_investment
Class of statistical tests
standardized data against the standard normal distribution. Here the correlation between the sample data and normal quantiles (a measure of the goodness
Normality_test
CORRELATION RATIO
CORRELATION RATIO
Biblical
punishment; correction
Boy/Male
Hindu
Rational
Girl/Female
Afghan, Arabic, Hindu, Indian, Kannada, Muslim, Telugu, Turkish
Wise; Mature; Conscious; Pious; Righteous; Rightly Advised; Rationale; Pretend; Intelligent; Brave
Boy/Male
Indian
Rationale, Intelligent, Rightly-guided, Having the true faith
Girl/Female
Biblical
Punishment, correction.
Girl/Female
American, Christian, German, Greek, Hebrew
Noble Kind; Nobility; Rational; Great Happiness; Form of Alice
Girl/Female
Christian, German, Greek, Hebrew
Noble; Kind; Rational; Great Happiness
Boy/Male
Tamil
Rational
Surname or Lastname
English
English : habitational name from the village of Brattle, near Ashford in Kent.Thomas Brattle (c.1624–83) was reckoned, at the time of his death, to be the wealthiest man in New England. His son, also called Thomas Brattle (1658–1713), treasurer of Harvard College from 1693 to 1713, was a man noted for his rationality and humanism, which included opposition to the Salem withccraft trials of 1692.
Surname or Lastname
English, Scottish, and French
English, Scottish, and French : nickname for an intelligent person, from Middle English, Old French raison ‘reasoning’, ‘intellectual faculty’ (Latin ratio, genitive rationis).
Girl/Female
German, Greek
Noble; Kind; Rational
Boy/Male
Muslim
Talker, Speaker, Rational
Boy/Male
Hindu
Rational
Boy/Male
Muslim
Rationale, Intelligent, Rightly-guided, Having the true faith
Boy/Male
Indian
Rationale, Intelligent, Rightly-guided, Having the true faith
Boy/Male
Indian
Talker, Speaker, Rational
Girl/Female
Christian, German, Greek, Hebrew
Noble; Kind; Rational; Light-hearted; Pledged to God
Boy/Male
Tamil
Rational
Boy/Male
Arabic, Muslim, Sindhi
Endowed with Speech; Eloquent; Spokesperson; Talker; Speaker; Rational; Categorical (Decision)
Boy/Male
Muslim
Rationale, Intelligent, Rightly-guided, Having the true faith
CORRELATION RATIO
CORRELATION RATIO
Boy/Male
English American
Tailor. Surname.
Girl/Female
Hindu
Girl/Female
Indian, Kannada, Tamil
Daughter of Agni (Fire)
Male
Scottish
Scottish form of Greek Paulos, PÃ’L means "small."
Girl/Female
Tamil
Night
Surname or Lastname
English
English : variant of Apley.
Girl/Female
Assamese, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Joy of the Vedas
Boy/Male
Hindu
Lord of the mind, God of mind
Girl/Female
Hindu, Indian, Telugu
True; Pure; Holy
Boy/Male
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Lustrous as the Moon
CORRELATION RATIO
CORRELATION RATIO
CORRELATION RATIO
CORRELATION RATIO
CORRELATION RATIO
n.
An allowance made for inaccuracy in an instrument; as, chronometer correction; compass correction.
adv.
In a correlative relation.
n.
The flowing of different streams into one.
n.
Emendation; correction.
n.
The act or process of passing, or causing to pass, from a fluid to a solid state, as by the abstraction of heat; the act or process of freezing.
p. pr. & vb. n.
of Correlate
n.
Quality of being correlative.
n.
The act corrugating; contraction into wrinkles or alternate ridges and grooves.
a.
Submissive to correction; docile.
n.
Mutual or reciprocal relation; correlation.
n.
The quality of correlation; reciprocation; interchange; interaction; interdependence.
n.
The quality or state of being irrelative; want of connection or relation.
n.
One who, or that which, stands in a reciprocal relation, or is correlated, to some other person or thing.
n.
The antecedent of a pronoun.
n.
Abatement of noxious qualities; the counteraction of what is inconvenient or hurtful in its effects; as, the correction of acidity in the stomach.
n.
The state of being congealed.
n.
That which is congealed.
n.
Reciprocal relation; corresponding similarity or parallelism of relation or law; capacity of being converted into, or of giving place to, one another, under certain conditions; as, the correlation of forces, or of zymotic diseases.
a.
Having or indicating a reciprocal relation.
n.
Correction; chastisement; punishment inflicted by way of correction and training.