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 independent (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`	-	-
Input	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 [2] Cubic 1 [3] Cubic 2 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
                      	[2] Cubic 1
                      	[3] Cubic 2
                      	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