Tool Name	Zonal Multiple Regression Analysis (Points and Predictor Grids)
Tool ID	15
Library ID	statistics_regression
Version	1.0
Author(s)	O.Conrad, P.Gandelli (c) 2015

Description

Linear regression analysis of point attributes using multiple predictor 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. Each polygon in the zones layer is processed as individual zone.

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
Predictors	grid list, input	PREDICTORS
Zones	shapes, input	ZONES
Points	shapes, input	POINTS
Output
Residuals	shapes, output, optional	RESIDUALS
Regression	grid, output	REGRESSION
Options
Dependent Variable	table field	ATTRIBUTE
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
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