Tool Multiple Regression Analysis (Points and Predictor Grids)
Linear regression analysis of point attributes with multiple grids. Details of the regression/correlation analysis will be saved to a table. The regression function 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.
- Author: O.Conrad (c) 2004
- Menu: Spatial and Geostatistics|Regression
Parameters
| | Name | Type | Identifier | Description | Constraints |
|---|
| Input | Predictors | grid list, input | PREDICTORS | - | - |
| Points | shapes, input | POINTS | - | - |
| Output | Details: Coefficients (*) | table, output, optional | INFO_COEFF | - | - |
| Details: Model (*) | table, output, optional | INFO_MODEL | - | - |
| Details: Steps (*) | table, output, optional | INFO_STEPS | - | - |
| Residuals (*) | shapes, output, optional | RESIDUALS | - | - |
| Regression | grid, output | REGRESSION | regression model applied to predictor grids | - |
| Regression with Residual Correction (*) | grid, output, optional | REGRESCORR | regression model applied to predictor grids with interpolated residuals added | - |
| Options | Grid System | grid system | PARAMETERS_GRID_SYSTEM | - | - |
| Dependent Variable | table field | ATTRIBUTE | - | - |
| 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 |
| Intercept | boolean | INTERCEPT | - | Default: 1 |
| 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 |
| Residual Interpolation | choice | RESIDUAL_COR | - | Available Choices:
[0] Multilevel B-Spline Interpolation
[1] Inverse Distance Weighted
Default: 0 |
| (*) optional |
Command-line
Usage: saga_cmd statistics_regression 1 [-PREDICTORS <str>] [-POINTS <str>] [-ATTRIBUTE <str>] [-INFO_COEFF <str>] [-INFO_MODEL <str>] [-INFO_STEPS <str>] [-RESIDUALS <str>] [-REGRESSION <str>] [-REGRESCORR <str>] [-RESAMPLING <str>] [-COORD_X <str>] [-COORD_Y <str>] [-INTERCEPT <str>] [-METHOD <str>] [-P_VALUE <double>] [-CROSSVAL <str>] [-CROSSVAL_K <num>] [-RESIDUAL_COR <str>]
-PREDICTORS:<str> Predictors
grid list, input
-POINTS:<str> Points
shapes, input
-ATTRIBUTE:<str> Dependent Variable
table field
-INFO_COEFF:<str> Details: Coefficients
table, output, optional
-INFO_MODEL:<str> Details: Model
table, output, optional
-INFO_STEPS:<str> Details: Steps
table, output, optional
-RESIDUALS:<str> Residuals
shapes, output, optional
-REGRESSION:<str> Regression
grid, output
-REGRESCORR:<str> Regression with Residual Correction
grid, output, optional
-RESAMPLING:<str> Resampling
choice
Available Choices:
[0] Nearest Neighbour
[1] Bilinear Interpolation
[2] Bicubic Spline Interpolation
[3] B-Spline Interpolation
Default: 3
-COORD_X:<str> Include X Coordinate
boolean
Default: 0
-COORD_Y:<str> Include Y Coordinate
boolean
Default: 0
-INTERCEPT:<str> Intercept
boolean
Default: 1
-METHOD:<str> Method
choice
Available Choices:
[0] include all
[1] forward
[2] backward
[3] stepwise
Default: 3
-P_VALUE:<double> Significance Level
floating point number
Minimum: 0.000000
Maximum: 100.000000
Default: 5.000000
-CROSSVAL:<str> Cross Validation
choice
Available Choices:
[0] none
[1] leave one out
[2] 2-fold
[3] k-fold
Default: 0
-CROSSVAL_K:<num> Cross Validation Subsamples
integer number
Minimum: 2
Default: 10
-RESIDUAL_COR:<str> Residual Interpolation
choice
Available Choices:
[0] Multilevel B-Spline Interpolation
[1] Inverse Distance Weighted
Default: 0