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- Partial_least_squares_regression abstract "Partial least squares regression (PLS regression) is a statistical method that bears some relation to principal components regression; instead of finding hyperplanes of minimum variance between the response and independent variables, it finds a linear regression model by projecting the predicted variables and the observable variables to a new space. Because both the X and Y data are projected to new spaces, the PLS family of methods are known as bilinear factor models. Partial least squares Discriminant Analysis (PLS-DA) is a variant used when the Y is categorical.PLS is used to find the fundamental relations between two matrices (X and Y), i.e. a latent variable approach to modeling the covariance structures in these two spaces. A PLS model will try to find the multidimensional direction in the X space that explains the maximum multidimensional variance direction in the Y space. PLS regression is particularly suited when the matrix of predictors has more variables than observations, and when there is multicollinearity among X values. By contrast, standard regression will fail in these cases (unless it is regularized).The PLS algorithm is employed in partial least squares path modeling, a method of modeling a \"causal\" network of latent variables (causes cannot be determined without experimental or quasi-experimental methods, but one typically bases a latent variable model on the prior theoretical assumption that latent variables cause manifestations in their measured indicators). This technique is argued to be a form of structural equation modeling, distinguished from the classical method by being component-based rather than covariance-based. Yet, others dispute that this is the case.Partial least squares was introduced by the Swedish statistician Herman Wold, who then developed it with his son, Svante Wold. An alternative term for PLS (and more correct according to Svante Wold) is projection to latent structures, but the term partial least squares is still dominant in many areas. Although the original applications were in the social sciences, PLS regression is today most widely used in chemometrics and related areas. It is also used in bioinformatics, sensometrics, neuroscience and anthropology. In contrast, PLS path modeling is most often used in social sciences, econometrics, marketing and strategic management. However, within the realm of psychology, it has received criticism for being an unreliable estimation and testing tool.".
- Partial_least_squares_regression wikiPageExternalLink 00401706.1993.10485033.
- Partial_least_squares_regression wikiPageExternalLink MVC.html.
- Partial_least_squares_regression wikiPageExternalLink pls.
- Partial_least_squares_regression wikiPageExternalLink Abdi-PLSR2007-pretty.pdf.
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- Partial_least_squares_regression wikiPageWikiLink Canonical_correlation.
- Partial_least_squares_regression wikiPageWikiLink Category:Articles_with_example_pseudocode.
- Partial_least_squares_regression wikiPageWikiLink Category:Latent_variable_models.
- Partial_least_squares_regression wikiPageWikiLink Category:Least_squares.
- Partial_least_squares_regression wikiPageWikiLink Category:Regression_analysis.
- Partial_least_squares_regression wikiPageWikiLink Chemometrics.
- Partial_least_squares_regression wikiPageWikiLink Covariance.
- Partial_least_squares_regression wikiPageWikiLink Data_mining.
- Partial_least_squares_regression wikiPageWikiLink Deming_regression.
- Partial_least_squares_regression wikiPageWikiLink Dependent_and_independent_variables.
- Partial_least_squares_regression wikiPageWikiLink Feature_extraction.
- Partial_least_squares_regression wikiPageWikiLink Herman_Wold.
- Partial_least_squares_regression wikiPageWikiLink Hyperplane.
- Partial_least_squares_regression wikiPageWikiLink Journal_of_the_American_Statistical_Association.
- Partial_least_squares_regression wikiPageWikiLink Journal_of_the_Royal_Statistical_Society.
- Partial_least_squares_regression wikiPageWikiLink Latent_variable.
- Partial_least_squares_regression wikiPageWikiLink Linear_regression.
- Partial_least_squares_regression wikiPageWikiLink Machine_learning.
- Partial_least_squares_regression wikiPageWikiLink Matrix_(mathematics).
- Partial_least_squares_regression wikiPageWikiLink Multicollinearity.
- Partial_least_squares_regression wikiPageWikiLink Multilinear_subspace_learning.
- Partial_least_squares_regression wikiPageWikiLink Observable_variable.
- Partial_least_squares_regression wikiPageWikiLink Orthogonal_matrix.
- Partial_least_squares_regression wikiPageWikiLink Partial_least_squares_path_modeling.
- Partial_least_squares_regression wikiPageWikiLink Principal_component_analysis.
- Partial_least_squares_regression wikiPageWikiLink Principal_component_regression.
- Partial_least_squares_regression wikiPageWikiLink Regression_analysis.
- Partial_least_squares_regression wikiPageWikiLink Statistics.
- Partial_least_squares_regression wikiPageWikiLink Structural_equation_modeling.
- Partial_least_squares_regression wikiPageWikiLink Tikhonov_regularization.
- Partial_least_squares_regression wikiPageWikiLink Total_sum_of_squares.
- Partial_least_squares_regression wikiPageWikiLink Variance.
- Partial_least_squares_regression wikiPageWikiLinkText "PLS".
- Partial_least_squares_regression wikiPageWikiLinkText "Partial Least Squares".
- Partial_least_squares_regression wikiPageWikiLinkText "Partial least squares regression".
- Partial_least_squares_regression wikiPageWikiLinkText "partial least squares ('''PLS''')".
- Partial_least_squares_regression wikiPageWikiLinkText "partial least squares regression".
- Partial_least_squares_regression wikiPageWikiLinkText "partial least squares".
- Partial_least_squares_regression wikiPageWikiLinkText "partial least-squares".
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- Partial_least_squares_regression subject Category:Articles_with_example_pseudocode.
- Partial_least_squares_regression subject Category:Latent_variable_models.
- Partial_least_squares_regression subject Category:Least_squares.
- Partial_least_squares_regression subject Category:Regression_analysis.
- Partial_least_squares_regression hypernym Method.
- Partial_least_squares_regression type Model.
- Partial_least_squares_regression type Software.
- Partial_least_squares_regression type Square.
- Partial_least_squares_regression type Type.
- Partial_least_squares_regression type Econometric.
- Partial_least_squares_regression type Model.
- Partial_least_squares_regression type Square.
- Partial_least_squares_regression type Type.
- Partial_least_squares_regression type Variable.
- Partial_least_squares_regression type Thing.
- Partial_least_squares_regression comment "Partial least squares regression (PLS regression) is a statistical method that bears some relation to principal components regression; instead of finding hyperplanes of minimum variance between the response and independent variables, it finds a linear regression model by projecting the predicted variables and the observable variables to a new space. Because both the X and Y data are projected to new spaces, the PLS family of methods are known as bilinear factor models.".
- Partial_least_squares_regression label "Partial least squares regression".
- Partial_least_squares_regression sameAs Q422009.
- Partial_least_squares_regression sameAs Regresión_de_mínimos_cuadrados_parciales.
- Partial_least_squares_regression sameAs Régression_des_moindres_carrés_partiels.
- Partial_least_squares_regression sameAs m.0419hy.
- Partial_least_squares_regression sameAs Q422009.
- Partial_least_squares_regression sameAs 偏最小二乘回归.
- Partial_least_squares_regression wasDerivedFrom Partial_least_squares_regression?oldid=702069111.
- Partial_least_squares_regression isPrimaryTopicOf Partial_least_squares_regression.