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Documentation Table of Contents

1. Introduction to Experimental Data Analyst (EDA)

  • Summary and Use of EDA

    • Summary of the Chapters of EDA

    • Using EDA

  • The EDA Data Format

  • EDA Utilities and Supplied Data Sets

    • Contents of the EDA `Data` Directory

2. Importing and Exporting Data

  • Importing Data from an ASCII File

    • Introduction

    • A Real-World Example

    • Summary of ImportData

  • Exporting Data to an ASCII File

    • Introduction

    • Summary of ExportData

  • Importing Data from a Binary File

  • Getting Data from a Scanned Plot

3. Experimental Errors and Error Analysis

  • Introduction
    • The Purpose of Error Analysis

    • Different Types of Errors

    • References

  • Determining the Precision

    • The Standard Deviation

    • The Reading Error

    • The Error

    • Rejection of Measurements

  • Propagation of Errors of Precision

    • Discussion and Examples

    • Finding the Error in an Average

  • Calibration, Accuracy, and Systematic Errors

  • Summary of the Error Propagation Routines

4. Fitting Data to Linear Models by Least-Squares Techniques

  • Background Discussion

    • Linear Fits

    • Least-Squares Techniques

    • Fitting to Data with Experimental Errors

    • Evaluating the Goodness of a Fit

    • References

  • Curve Fitting When the Data Have No Explicit Errors

    • Unwinding the Residual Calculation

  • Curve Fitting When the Data Have Explicit Errors

  • Options, Utilities, and Details

    • Options to LinearFit

    • Other Routines in the LinearFit Package

  • Summary of the LinearFit Package

    • The LinearFit Routine

    • The ShowLinearFit Routine

    • The ToLinearFunction Routine

5. Fitting Data to Nonlinear Models

  • Introduction

    • Overview of FindFit

    • Providing Initial Parameter Values to FindFit

    • Comparing LinearFit and FindFit

    • References

  • Examples

    • Fitting to a Single Peak with a Background

    • Fitting to Two Peaks with No Background

  • Options, Utilities, and Details

    • Options to FindFit

    • Other Routines in the FindFit Package

    • Peak-Shape Routines

  • Summary of the FindFit Package

6. Smoothing Data, Filling Missing Data, and Nonparametric Fitting

  • Introduction

    • Smoothing with Averaging Techniques

    • Fourier Filters

    • Loess Fitting

    • Using Mathematica Built-In Functions

    • Smoothing an Interpolation

    • Filling Missing Data

    • References

  • Details

    • Nonmonotonic Data and Related Assumptions

    • Comparing Various Smoothing Methods

    • How LoessFit Works

  • Summary of the SmoothData Package

7. Robust Fitting

  • Introduction

    • Using the Median

    • Using Weighting Techniques

  • Details

    • RobustCurveFit

    • RobustLineFit

    • Comparing RobustCurveFit and RobustLineFit

  • Summary of the RobustFit Package

8. Exploration and Transformation of Data

  • Graphical Exploration

    • EDAListPlot

    • Histogram

    • BoxPlot

    • Summary of General Purpose EDA Graphics Routines

  • Transforming Data

    • The Data Itself Suggests a Transformation

    • Transforming to Match a Model

    • Finding Hidden Features of the Data

  • Estimating Parameters for Peaks

    • Summary of FindPeaks

  • FitPeaks and FitExponent

    • FitPeaks

    • FitExponent

  • References

    • References to Mathematica

    • References to Exploratory Data Analysis and Transformation