Statistics — Page 10
Explore statistical methods, their assumptions, interpretation and limitations.
Research field
Method family
Biological Age Estimation
Biological age estimation seeks to measure how old a person's body actually is, as distinct from the number of years since their birth. The most influential statistical approach is the Klemera-Doubal method (KDM), introduced in 2006, which...
Biplot
A biplot is a low-dimensional graphical representation of a multivariate data matrix that simultaneously displays both the observations (rows) and the variables (columns) as points or vectors in the same plot. Introduced by Ruben Gabriel in...
Bivariate Probit
The Bivariate Probit Model, introduced by Ashford and Sowden (1970), jointly estimates two binary outcome equations whose error terms are allowed to be correlated. By modeling both outcomes simultaneously under a bivariate normal distributi...
Black-Litterman Model
The Black-Litterman model, introduced by Fischer Black and Robert Litterman in 1992, is a Bayesian portfolio allocation framework that blends market-equilibrium returns with an investor's own views to produce more stable, intuitive portfoli...
Black-Scholes Model
The Black-Scholes-Merton model, published by Fischer Black and Myron Scholes in 1973 with the theoretical framework extended by Robert Merton, gives a closed-form no-arbitrage price for European options. By assuming the underlying asset fol...
Bland-Altman Analysis
The Bland-Altman analysis is a graphical and statistical technique for assessing agreement between two measurement methods applied to the same subjects. Introduced by J. Martin Bland and Douglas G. Altman in their landmark 1986 Lancet paper...
Blatant Dehumanization Scale
The Blatant Dehumanization Scale, also called the Ascent of Man measure, captures the willingness to overtly deny full humanity to an out-group. Developed by Nour Kteily, Emile Bruneau, Adam Waytz, and Sarah Cotterill in 2015, it uses the i...
Block Bootstrap
Block bootstrap is a resampling method for dependent, autocorrelated time-series data: instead of resampling single observations, it resamples whole blocks of consecutive observations so the serial-correlation structure is preserved. The mo...
Bonferroni Correction
The Bonferroni correction is a conservative, universally applicable method for controlling the family-wise error rate (FWER) when conducting multiple simultaneous hypothesis tests. Grounded in Bonferroni's 1936 probability inequality and fo...
Bonus-Malus System
A Bonus-Malus System (BMS) is an actuarial experience-rating mechanism used primarily in automobile insurance to adjust individual policyholders' premiums based on their personal claim history. Policyholders who remain claim-free receive pr...
Bootstrap DEA
Bootstrap Data Envelopment Analysis (Bootstrap DEA) is a resampling-based extension of standard DEA that provides statistically valid inference for efficiency scores. Introduced by Simar and Wilson in 1998, it addresses the core weakness of...
Bootstrap Inference
Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confide...
Bootstrap Simulation with Missing Data
Bootstrap simulation with missing data combines resampling-based variance estimation with principled handling of incomplete observations. Rather than deleting cases or assuming complete data, the method integrates imputation or weighting di...
Bradley-Terry Model
The Bradley-Terry model is a probabilistic model for paired comparisons that assigns a latent strength parameter to each item and predicts the probability that one item beats another in a head-to-head contest. Introduced by Ralph A. Bradley...
Brand-Switching Markov Model
The brand-switching Markov model treats a consumer's sequence of brand purchases as a Markov chain, in which the probability of buying a given brand next depends only on the brand bought last. Its central object is the brand-to-brand transi...
Brass Relational Logit Model
The Brass relational logit model is a two-parameter system for representing and smoothing a life table by relating it to a chosen standard. Introduced by William Brass in 1971, it transforms the survivorship function with a logit and posits...
Breakdown Point Analysis
Breakdown point analysis quantifies the fraction of outliers an estimator can tolerate before it produces meaningless results. Formalised by Hampel (1971) and Donoho and Huber (1983), it is the standard tool for comparing the robustness of...
Breitung Test
The Breitung test, introduced by Jörg Breitung in 2000, is a nonparametric panel unit-root test designed to assess whether all cross-sectional units in a balanced panel share a common unit root. Unlike competing first-generation tests, it a...
Breusch-Godfrey Test
The Breusch-Godfrey test is a Lagrange-multiplier test for serial correlation in regression residuals, developed independently by Trevor Breusch (1978) and Leslie Godfrey (1978). Unlike the Durbin-Watson test, it detects autocorrelation up...
Breusch-Pagan Test
The Breusch-Pagan test, introduced by Trevor Breusch and Adrian Pagan in 1979, is a Lagrange-multiplier test for heteroskedasticity — the condition where the variance of a regression's errors changes with the explanatory variables. It works...
Brunner-Munzel Test
The Brunner-Munzel test is a nonparametric two-sample hypothesis test that estimates the probabilistic superiority index P(X < Y) — the probability that a randomly selected observation from one group exceeds a randomly selected observation...
CADF Test
The Cross-sectionally Augmented Dickey-Fuller (CADF) test, introduced by Pesaran (2007), is a second-generation panel unit-root test designed to handle cross-sectional dependence among panel units. Unlike first-generation panel unit-root te...
CAPM
The Capital Asset Pricing Model (CAPM), developed by William Sharpe and John Lintner in the mid-1960s, links the expected return of an asset to its systematic risk, measured by beta. It states that in equilibrium investors are rewarded only...
CASP-19 Quality of Life Scale
The CASP-19 is a 19-item self-report measure of quality of life designed specifically for people in early old age, grounded in a theory of human need rather than in health or functional status. Developed by Martin Hyde, Richard Wiggins, Pau...