Multiple Regression Analysis (Grid and Predictor Grids)
- Author: O.Conrad (c) 2011
- Menu: Spatial and Geostatistics | Regression
Description
Linear regression analysis of one grid as dependent and multiple grids as indepentent (predictor) variables. Details of the regression/correlation analysis will be saved to a table. Optionally the regression model is used to create a new grid with regression based values. The multiple regression analysis uses a forward selection procedure.
References
- Bahrenberg, G., Giese, E., Nipper, J. (1992): Statistische Methoden in der Geographie 2 - Multivariate Statistik. Stuttgart, 415p.
Parameters
| Name | Type | Identifier | Description | Constraints | |
|---|---|---|---|---|---|
| Input | Dependent Variable | grid, input | DEPENDENT | - | - |
| Predictors | grid list, input | PREDICTORS | - | - | |
| Output | Regression | grid, output | REGRESSION | - | - |
| Residuals | grid, output, optional | RESIDUALS | - | - | |
| Details: Coefficients | table, output, optional | INFO_COEFF | - | - | |
| Details: Model | table, output, optional | INFO_MODEL | - | - | |
| Details: Steps | table, output, optional | INFO_STEPS | - | - | |
| Options | Grid System | grid system | PARAMETERS_GRID_SYSTEM | - | - |
| Grid system | grid system | DEPENDENT_GRIDSYSTEM | - | - | |
| Resampling | choice | RESAMPLING | - | Available Choices: [0] Nearest Neighbour [1] Bilinear Interpolation [2] Bicubic Spline Interpolation [3] B-Spline Interpolation Default: 3 | |
| Include X Coordinate | boolean | COORD_X | - | Default: 0 | |
| Include Y Coordinate | boolean | COORD_Y | - | Default: 0 | |
| Method | choice | METHOD | - | Available Choices: [0] include all [1] forward [2] backward [3] stepwise Default: 3 | |
| Significance Level | floating point number | P_VALUE | Significance level (aka p-value) as threshold for automated predictor selection, given as percentage | Minimum: 0.000000 Maximum: 100.000000 Default: 5.000000 | |
| Cross Validation | choice | CROSSVAL | - | Available Choices: [0] none [1] leave one out [2] 2-fold [3] k-fold Default: 0 | |
| Cross Validation Subsamples | integer number | CROSSVAL_K | number of subsamples for k-fold cross validation | Minimum: 2 Default: 10 |
Command Line
Usage: saga_cmd statistics_regression 8 [-DEPENDENT] [-PREDICTORS ] [-REGRESSION ] [-RESIDUALS ] [-INFO_COEFF ] [-INFO_MODEL ] [-INFO_STEPS ] [-RESAMPLING ] [-COORD_X ] [-COORD_Y ] [-METHOD ] [-P_VALUE ] [-CROSSVAL ] [-CROSSVAL_K ] -DEPENDENT: Dependent Variable grid, input -PREDICTORS: Predictors grid list, input -REGRESSION: Regression grid, output -RESIDUALS: Residuals grid, output, optional -INFO_COEFF: Details: Coefficients table, output, optional -INFO_MODEL: Details: Model table, output, optional -INFO_STEPS: Details: Steps table, output, optional -RESAMPLING: Resampling choice Available Choices: [0] Nearest Neighbour [1] Bilinear Interpolation [2] Bicubic Spline Interpolation [3] B-Spline Interpolation Default: 3 -COORD_X: Include X Coordinate boolean Default: 0 -COORD_Y: Include Y Coordinate boolean Default: 0 -METHOD: Method choice Available Choices: [0] include all [1] forward [2] backward [3] stepwise Default: 3 -P_VALUE: Significance Level floating point number Minimum: 0.000000 Maximum: 100.000000 Default: 5.000000 -CROSSVAL: Cross Validation choice Available Choices: [0] none [1] leave one out [2] 2-fold [3] k-fold Default: 0 -CROSSVAL_K: Cross Validation Subsamples integer number Minimum: 2 Default: 10