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`	-	-
Input	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	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	`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] 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 (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)
  -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
	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] Multilevel B-Spline Interpolation
	[1] Inverse Distance Weighted
	Default: 0