Tool NameMultiple Regression Analysis (Points and Predictor Grids)
Tool ID1
Library IDstatistics_regression
Version1.0
Author(s)O.Conrad (c) 2004

Description

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.


Parameters

NameTypeIdentifierDescriptionConstraints
Input
Predictorsgrid list, inputPREDICTORS
Pointsshapes, inputPOINTS
Output
Details: Coefficientstable, output, optionalINFO_COEFF
Details: Modeltable, output, optionalINFO_MODEL
Details: Stepstable, output, optionalINFO_STEPS
Residualsshapes, output, optionalRESIDUALS
Regressiongrid, outputREGRESSIONregression model applied to predictor grids
Regression with Residual Correctiongrid, output, optionalREGRESCORRregression model applied to predictor grids with interpolated residuals added
Options
Dependent Variabletable fieldATTRIBUTE
ResamplingchoiceRESAMPLINGAvailable Choices:
[0] Nearest Neighbour
[1] Bilinear
[2] Cubic 1
[3] Cubic 2
Default: 3
Include X CoordinatebooleanCOORD_XDefault: 0
Include Y CoordinatebooleanCOORD_YDefault: 0
InterceptbooleanINTERCEPTDefault: 1
MethodchoiceMETHODAvailable Choices:
[0] include all
[1] forward
[2] backward
[3] stepwise
Default: 3
Significance Levelfloating point numberP_VALUESignificance level (aka p-value) as threshold for automated predictor selection, given as percentageMinimum: 0.000000
Maximum: 100.000000
Default: 5.000000
Cross ValidationchoiceCROSSVALAvailable Choices:
[0] none
[1] leave one out
[2] 2-fold
[3] k-fold
Default: 0
Cross Validation Subsamplesinteger numberCROSSVAL_Knumber of subsamples for k-fold cross validationMinimum: 2
Default: 10
Residual InterpolationchoiceRESIDUAL_CORAvailable Choices:
[0] Multilevel B-Spline Interpolation
[1] Inverse Distance Weighted
Default: 0