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| Kompozicionális adatelemzés (CoDA)× | Többváltozós lineáris regresszió× | Szimbolikus adattár-elemzés× | |
|---|---|---|---|
| Tudományterület≠ | Statisztika | Statisztika | Lágy számítási módszerek |
| Módszercsalád≠ | Regression model | Regression model | Machine learning |
| Keletkezés éve≠ | 1982 | 1886 | 2003 |
| Megalkotó≠ | John Aitchison | Francis Galton; formalized by Karl Pearson | Edwin Diday; Lynne Billard |
| Típus≠ | Constrained multivariate statistical method | Parametric linear model | Statistical framework for aggregate and set-valued data |
| Alapmű≠ | Aitchison, J. (1982). The statistical analysis of compositional data. Journal of the Royal Statistical Society: Series B, 44(2), 139–177. DOI ↗ | Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263. DOI ↗ | Billard, L., & Diday, E. (2003). From the statistics of data to the statistics of knowledge: symbolic data analysis. Journal of the American Statistical Association, 98(462), 470–487. DOI ↗ |
| Alternatív nevek≠ | CoDA, Simplex Analysis, Log-Ratio Analysis, Bileşim Veri Analizi | MLR, OLS regression, multiple regression, linear regression with multiple predictors | SDA, Interval Data Analysis, Distributional Data Analysis, Sembolik Veri Analizi |
| Kapcsolódó≠ | 2 | 8 | 1 |
| Összefoglaló≠ | Compositional Data Analysis (CoDA) is a branch of multivariate statistics designed for data that represent parts of a whole — proportions, percentages, or concentrations that sum to a constant. Introduced by John Aitchison in his landmark 1982 paper, CoDA recognises that standard Euclidean methods fail on the simplex and instead operates through log-ratio transformations that respect the relative nature of compositional information. | Multiple linear regression (MLR) is a parametric regression model that expresses a continuous outcome as a weighted linear combination of two or more predictor variables plus a random error term. The unknown weights (regression coefficients) are estimated by ordinary least squares (OLS), which minimises the sum of squared residuals. The method traces to Francis Galton's 1886 work on hereditary stature and was placed on firm mathematical footing by Karl Pearson; Draper and Smith's 1966 textbook established it as the standard framework for applied regression. | Symbolic Data Analysis (SDA) is a statistical framework designed to analyze complex, aggregate, or set-valued data — called symbolic data — in which each observation represents a group or concept rather than a single scalar. Introduced in its modern statistical form by Lynne Billard and Edwin Diday in 2003, SDA extends classical statistics to handle interval-valued, histogram-valued, and multi-valued variables, enabling rigorous inference at the level of knowledge rather than raw individual records. |
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