Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Principal_component_regression> ?p ?o }
- Principal_component_regression abstract "In statistics, principal component regression (PCR) is a regression analysis technique that is based on principal component analysis (PCA). Typically, it considers regressing the outcome (also known as the response or, the dependent variable) on a set of covariates (also known as predictors or, explanatory variables or, independent variables) based on a standard linear regression model, but uses PCA for estimating the unknown regression coefficients in the model.In PCR, instead of regressing the dependent variable on the explanatory variables directly, the principal components of the explanatory variables are used as regressors. One typically uses only a subset of all the principal components for regression, thus making PCR some kind of a regularized procedure. Often the principal components with higher variances (the ones based on eigenvectors corresponding to the higher eigenvalues of the sample variance-covariance matrix of the explanatory variables) are selected as regressors. However, for the purpose of predicting the outcome, the principal components with low variances may also be important, in some cases even more important.One major use of PCR lies in overcoming the multicollinearity problem which arises when two or more of the explanatory variables are close to being collinear. PCR can aptly deal with such situations by excluding some of the low-variance principal components in the regression step. In addition, by usually regressing on only a subset of all the principal components, PCR can result in dimension reduction through substantially lowering the effective number of parameters characterizing the underlying model. This can be particularly useful in settings with high-dimensional covariates. Also, through appropriate selection of the principal components to be used for regression, PCR can lead to efficient prediction of the outcome based on the assumed model.".
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- Principal_component_regression wikiPageWikiLink Approximate.
- Principal_component_regression wikiPageWikiLink Approximation.
- Principal_component_regression wikiPageWikiLink Bias_of_an_estimator.
- Principal_component_regression wikiPageWikiLink Canonical_correlation.
- Principal_component_regression wikiPageWikiLink Category:Regression_analysis.
- Principal_component_regression wikiPageWikiLink Centering_matrix.
- Principal_component_regression wikiPageWikiLink Collinear.
- Principal_component_regression wikiPageWikiLink Collinearity.
- Principal_component_regression wikiPageWikiLink Column_space.
- Principal_component_regression wikiPageWikiLink Column_vector.
- Principal_component_regression wikiPageWikiLink Constrained_optimization.
- Principal_component_regression wikiPageWikiLink Coordinate_system.
- Principal_component_regression wikiPageWikiLink Correlation_and_dependence.
- Principal_component_regression wikiPageWikiLink Covariance_matrix.
- Principal_component_regression wikiPageWikiLink Cross-validation_(statistics).
- Principal_component_regression wikiPageWikiLink Data_matrix_(multivariate_statistics).
- Principal_component_regression wikiPageWikiLink Data_transformation.
- Principal_component_regression wikiPageWikiLink Deming_regression.
- Principal_component_regression wikiPageWikiLink Dependent_and_independent_variables.
- Principal_component_regression wikiPageWikiLink Dimension_(vector_space).
- Principal_component_regression wikiPageWikiLink Dimension_reduction.
- Principal_component_regression wikiPageWikiLink Dimensionality_reduction.
- Principal_component_regression wikiPageWikiLink Efficient_estimator.
- Principal_component_regression wikiPageWikiLink Eigendecomposition_of_a_matrix.
- Principal_component_regression wikiPageWikiLink Eigenvalues.
- Principal_component_regression wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Principal_component_regression wikiPageWikiLink Eigenvectors.
- Principal_component_regression wikiPageWikiLink Errors_and_residuals.
- Principal_component_regression wikiPageWikiLink Errors_and_residuals_in_statistics.
- Principal_component_regression wikiPageWikiLink Estimation.
- Principal_component_regression wikiPageWikiLink Estimator.
- Principal_component_regression wikiPageWikiLink Feature_space.
- Principal_component_regression wikiPageWikiLink Feature_vector.
- Principal_component_regression wikiPageWikiLink Free_software.
- Principal_component_regression wikiPageWikiLink Gauss–Markov_theorem.
- Principal_component_regression wikiPageWikiLink High-dimensional_statistics.
- Principal_component_regression wikiPageWikiLink Inner_product.
- Principal_component_regression wikiPageWikiLink Inner_product_space.
- Principal_component_regression wikiPageWikiLink Kernel_PCA.
- Principal_component_regression wikiPageWikiLink Kernel_machine.
- Principal_component_regression wikiPageWikiLink Kernel_method.
- Principal_component_regression wikiPageWikiLink Kernel_methods.
- Principal_component_regression wikiPageWikiLink Kernel_principal_component_analysis.
- Principal_component_regression wikiPageWikiLink Kernel_trick.
- Principal_component_regression wikiPageWikiLink Linear_approximation.
- Principal_component_regression wikiPageWikiLink Linear_combination.
- Principal_component_regression wikiPageWikiLink Linear_form.
- Principal_component_regression wikiPageWikiLink Linear_independence.
- Principal_component_regression wikiPageWikiLink Linear_map.
- Principal_component_regression wikiPageWikiLink Linear_regression.
- Principal_component_regression wikiPageWikiLink Linear_transformation.
- Principal_component_regression wikiPageWikiLink Linearity.
- Principal_component_regression wikiPageWikiLink Machine_learning.
- Principal_component_regression wikiPageWikiLink Mallowss_Cp.
- Principal_component_regression wikiPageWikiLink Map_(mathematics).
- Principal_component_regression wikiPageWikiLink Mean_squared_error.
- Principal_component_regression wikiPageWikiLink Multicollinearity.
- Principal_component_regression wikiPageWikiLink Multilinear_subspace_learning.
- Principal_component_regression wikiPageWikiLink Ordinary_least_squares.
- Principal_component_regression wikiPageWikiLink Orthogonal_matrix.
- Principal_component_regression wikiPageWikiLink Orthonormality.
- Principal_component_regression wikiPageWikiLink Parameter.
- Principal_component_regression wikiPageWikiLink Parameters.
- Principal_component_regression wikiPageWikiLink Partial_least_squares.
- Principal_component_regression wikiPageWikiLink Partial_least_squares_regression.
- Principal_component_regression wikiPageWikiLink Positive-definite_kernel.
- Principal_component_regression wikiPageWikiLink Positive-definite_matrix.
- Principal_component_regression wikiPageWikiLink Prediction.
- Principal_component_regression wikiPageWikiLink Principal_component_analysis.
- Principal_component_regression wikiPageWikiLink R_(programming_language).
- Principal_component_regression wikiPageWikiLink Rank_(linear_algebra).
- Principal_component_regression wikiPageWikiLink Regression_analysis.
- Principal_component_regression wikiPageWikiLink Regularization_(mathematics).
- Principal_component_regression wikiPageWikiLink Reproducing_kernel_Hilbert_space.
- Principal_component_regression wikiPageWikiLink Ridge_regression.
- Principal_component_regression wikiPageWikiLink Row_and_column_spaces.
- Principal_component_regression wikiPageWikiLink Row_and_column_vectors.
- Principal_component_regression wikiPageWikiLink Sample_(statistics).
- Principal_component_regression wikiPageWikiLink Sample_mean_and_sample_covariance.
- Principal_component_regression wikiPageWikiLink Shrinkage_estimator.
- Principal_component_regression wikiPageWikiLink Singular_value_decomposition.
- Principal_component_regression wikiPageWikiLink Statistics.
- Principal_component_regression wikiPageWikiLink Symmetric_function.
- Principal_component_regression wikiPageWikiLink Tikhonov_regularization.
- Principal_component_regression wikiPageWikiLink Total_sum_of_squares.
- Principal_component_regression wikiPageWikiLink Transformation_matrix.
- Principal_component_regression wikiPageWikiLink Variance.
- Principal_component_regression wikiPageWikiLink Variance_inflation_factor.
- Principal_component_regression wikiPageWikiLinkText "Principal component regression".
- Principal_component_regression wikiPageWikiLinkText "principal component regression".
- Principal_component_regression wikiPageWikiLinkText "principal components regression".
- Principal_component_regression hasPhotoCollection Principal_component_regression.
- Principal_component_regression wikiPageUsesTemplate Template:Cite_book.
- Principal_component_regression wikiPageUsesTemplate Template:Reflist.
- Principal_component_regression wikiPageUsesTemplate Template:Regression_bar.