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