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A Mathematica ® based regression analysis program Analisys … A Curve Fitting Application.

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Presentation on theme: "A Mathematica ® based regression analysis program Analisys … A Curve Fitting Application."— Presentation transcript:

1 A Mathematica ® based regression analysis program Analisys … A Curve Fitting Application

2 Overview Experimental scientists all over the world need to find models for describing their experimental data... Analisys is a curve fitting application: + It fits a theoretical model function to a given set of experimental data + It performs regression analysis over the resulting fit

3 Features & Benefits Very advanced mathematical system Straightforward Data Entry 2D and 3D Data Plotting Multi-dimensional Regression Model Capability Automatic classification of model to select the best suited method for optimization; either linear, non-linear separable, or non-linear non-separable. Sophisticated Data Manipulation

4 Features & Benefits Minimizing the sum of squares is done with a program based on Mathematica's built-in FindMinimum function RPC Technology is used to connect to the kernel and execute expressions Very flexible grid functionality, such as: copying, pasting, inserting, sorting(ascending or descending), reversing, and deleting grid data.

5 Detailed regression report is produced after fitting including: + Specifications of the model and the method used in fitting + Estimates of the parameters, their standard errors, and confidence intervals + General statistical diagnostics that include the norm of residuals, estimated variance, asymptotic correlation and covariance matrices Features & Benefits

6 + A table comparing experimental values with predicted ones, and the corresponding weighted residuals Features & Benefits (continued)

7 Features & Benefits Now, to an overview of the application’s user interface features...

8 Features & Benefits Selecting ‘New’ from File Menu the following dialog box appears, from which one of the two options: “Direct Data Entry”, “Data From File” can be chosen, as shown beneath.

9 Features & Benefits ‘Perform Regression’ item in the Options menu causes a dialog box to appear, after finishing with this dialog a series of dialog boxes appear to guide the user through that process.

10 Features & Benefits The results of the fitting process that appear in the ‘Results’ dialog can be saved to a text file.

11 Features & Benefits If the ‘Plot while Iterating’ option in the ‘Options’ dialog box was checked, the process of numerical fitting will be accompanied by plotting the progress results...

12 Features & Benefits Other features include: 1) 2D or 3D Data Plotting 2) Evaluating expressions using Mathematica’s Kernel

13 Features & Benefits 3) Whole files containing Mathematica Expressions can also be evaluated!

14 4) Sophisticated data manipulation can be performed on grid data Features & Benefits

15 Even the splash screen was carefully designed with the comprehensive nature of the application in mind. Features & Benefits

16 Applications Scientists and engineers can benefit from this application Separable non-linear models especially appear in nuclear magnetic resonance practice and in semi- conductor physics (e.g. common-base transistor (an npn-transistor)) Where I 0i are the linear parameters and A i are the non-linear parameters at constant temperature

17 Specifications This following table shows the results for different commercial applications versus Analisys results:


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