**NAME:** **
Grid and Theme Regression **
**
3.1e** (Click name to download)

**Download PDF Version of Manual: **
**
Regression Manual **(4.06
mb)

**View Online PDF Manual:**

**
**View and Download Grid
and Theme Regression Poster

**Aka:** grid_regression.avx

**Last modified:** August 29,
2006

**TOPICS:** Regression, R-Square,
Slope, Scatterplot, ANOVA, SLR, Grid, P-value, Statistics, Distributions, t,
F, logistic, normal, skewness, kurtosis, binomial, probability, critical,
Poisson, chi-square, Model, Sequential Sums of Squares, Parameter

**
AUTHOR: **Jeff Jenness

Wildlife Biologist, GIS Analyst

Jenness Enterprises

3020 N. Schevene Blvd.

Flagstaff, AZ 86004 USA

jeffj@jennessent.com

**DESCRIPTION:** This extension
allows you to conduct Simple and Multiple Linear Regression analyses for
both tabular and grid data. Regression can be conducted with fields in a
table or between grid datasets. This extension also gives you the ability to
calculate a wider range of summary statistical data than that available in
the standard ArcView interface, and the power to generate probability values
and critical values from a wide range of statistical distributions.

** Linear Regression on Themes and Tables:**
This function uses Least Squares methods to calculate the linear
relationship between one or more independent Predictor variables and a
dependent Response variable. Predictor and response values are drawn from
fields in an ArcView table or a point/line/polygon theme feature attribute
table.

**
Linear Regression on Grids:
**This function calculates the linear relationship between
one or more grids of predictor values and a grid of response values, again
using Least Squares methods.

**
Summary Statistics:** From any numeric field in a table, this function will
calculate the Mean, Standard Error of the Mean, Confidence Intervals,
Minimum, 1st Quartile, Median, 3rd Quartile, Maximum, Variance, Standard
Deviation, Average Absolute Deviation, Skewness (normal and Fisher’s G1),
Kurtosis (normal and Fisher’s G2), Number of Records, Number of Null Values,
and Total Sum.

**
Probability Calculators:** This function will allow you to calculate the
probability, cumulative probability and inverse probability (i.e. given a
cumulative probability, calculate the corresponding critical value) of a
wide range of statistical distributions, including the Beta, Binomial,
Cauchy, Chi-Square, Exponential, F, Logistic, LogNormal, Normal, Poisson,
Student’s T and Weibull distributions. This function is available as a
general calculator that remains open until you are finished with it, or as a
Table tool that performs the calculations on all selected records in a
table.

**Acknowledgments:** This extension was developed for the Inland
Water Resources and Aquaculture Service (FIRI) of the United Nations Food
and Agriculture Organization (FAO), for use in a training program to teach
managers how to utilize GIS technology when managing fisheries. See
Geographic Information Systems in fisheries management and planning.
Technical manual, by G. de Graaf, F.J.B. Marttin, J. Aguilar-Manjarrez & J.
Jenness. FAO Fisheries Technical Paper No. 449. Rome. 162p. The author
gratefully acknowledges the assistance of **Felix Martin** and **José
Aguilar-Manjarrez** of FAO, and **Gertjan de Graaf** of Nefisco
Foundation, for their assistance in developing the Grid Regression tools.

Certain tools (esp. the Field Statistics and the histogram) were
originally developed by the author for the University of Arizona’s Saguaro
project (see
http://saguaro.geo.arizona.edu/) and are included here with their
permission. The author thanks **Larry Kendall** of the University of
Arizona, and **Scott Walker** of Northern Arizona University, for their
help in developing those tools and their willingness to share them. The
Theme and Table Regression tools were originally developed for the FAO-FIRI
African Water Resource Database project, and portions of this manual are
adapted from the documentation for that project. The author gratefully
acknowledges the assistance of **Joe Dooley** of Spatial Data Services &
Mapping (Namibia), and **José Aguilar-Manjarrez** and **Claudia Riva**
of FAO for their assistance in writing and editing that manual.

The Statistical Probability tools are almost identical to those in the
author’s Statistics and Probability Tools extension (see
http://www.jennessent.com/arcview/stats_dist.htm) and are included
because they enhance and complement the regression functions. The manual for
that extension has also been adapted into this manual.

**REQUIRES:** Spatial Analyst

This extension also requires that the file "avdlog.dll" be present in the
ArcView/BIN32 directory (or $AVBIN/avdlog.dll) and that the Dialog Designer
extension be located in your ArcView/ext32 directory, which they usually are
if you're running AV 3.1 or better. The Dialog Designer doesn't have to be
loaded; it just has to be available. If you are running AV 3.0a, you can
download the appropriate files for free from ESRI at:

http://support.esri.com/index.cfm?fa=downloads.patchesServicePacks.viewPatch&PID=25&MetaID=483

**REVISIONS:**