Module 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.
Reference:
- Bahrenberg, G., Giese, E., Nipper, J. (1992): 'Statistische Methoden in der Geographie 2 - Multivariate Statistik', Stuttgart, 415p.
- Author: O.Conrad (c) 2004
- Specification: grid
- 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 (optional output) | INFO_COEFF | - | - |
| Details: Model (*) | Table (optional output) | INFO_MODEL | - | - |
| Details: Steps (*) | Table (optional output) | INFO_STEPS | - | - |
| Residuals (*) | Shapes (optional output) | RESIDUALS | - | - |
| Regression | Grid (output) | REGRESSION | regression model applied to predictor grids | - |
| Regression with Residual Correction (*) | Grid (optional output) | REGRESCORR | regression model applied to predictor grids with interpolated residuals added | - |
| Options | Dependent Variable | Table field | ATTRIBUTE | - | - |
| Grid Interpolation | Choice | INTERPOL | - | Available Choices:
[0] Nearest Neighbor
[1] Bilinear Interpolation
[2] Inverse Distance Interpolation
[3] Bicubic Spline Interpolation
[4] B-Spline Interpolation
Default: 4 |
| 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 | 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 | CROSSVAL_K | number of subsamples for k-fold cross validation | Minimum: 2
Default: 10 |
| Residual Interpolation | Choice | RESIDUAL_COR | - | Available Choices:
[0] Multleve 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>] [-INTERPOL <str>] [-COORD_X <str>] [-COORD_Y <str>] [-INTERCEPT <str>] [-METHOD <str>] [-P_VALUE <str>] [-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 (optional output)
-INFO_MODEL:<str> Details: Model
Table (optional output)
-INFO_STEPS:<str> Details: Steps
Table (optional output)
-RESIDUALS:<str> Residuals
Shapes (optional output)
-REGRESSION:<str> Regression
Grid (output)
-REGRESCORR:<str> Regression with Residual Correction
Grid (optional output)
-INTERPOL:<str> Grid Interpolation
Choice
Available Choices:
[0] Nearest Neighbor
[1] Bilinear Interpolation
[2] Inverse Distance Interpolation
[3] Bicubic Spline Interpolation
[4] B-Spline Interpolation
Default: 4
-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:<str> Significance Level
Floating point
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
Minimum: 2
Default: 10
-RESIDUAL_COR:<str> Residual Interpolation
Choice
Available Choices:
[0] Multleve B-Spline Interpolation
[1] Inverse Distance Weighted
Default: 0