WOLFRAM

Experimental Data Analyst

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Documentation Table of Contents

  1. Introduction to Experimental Data Analyst
    • 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 SmoothDataPackage
  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

Experimental Data Analyst