Problem 4: I want to apply sophisticated analysis techniques to my data, but I don't
have the tools to do so.
Solution: Perform powerful analysis techniques with Mathematica.
Extensive data analysis and statistical capabilities
- Discrete, continuous, multivariate, multinormal distributions
- Confidence intervals and hypothesis testing
- Smoothing, data manipulation, linear regression, nonlinear fit
- Descriptive and multivariate descriptive statistics
Flexible data import and export
Mathematica can also import and export data in over 20 popular formats,
and it is flexible enough to let you create your own data-import routines.
These two facts taken together make Mathematica a powerful tool for getting the
most information out of your data, far exceeding the capabilities of any spreadsheet and
combining the power of dedicated statistical packages with ease of use.
Addition of your own analysis capabilities
Are you analyzing your data using your own techniques? Mathematica's programming
language allows you to easily add your own analysis functions.
Examples
In this example we'll import and plot some data, then find the equation
for a curve that fits the data, and finally plot the fitted curve and the data on the same graph.
First load the Standard Package Statistics'.
![[Graphics:Images/index_gr_35.gif]](Images/index_gr_35.gif)
Then import the data.
![[Graphics:Images/index_gr_36.gif]](Images/index_gr_36.gif)
We can now easily view the data.
![[Graphics:Images/index_gr_37.gif]](Images/index_gr_37.gif)
Here we find the equation of a curve through the data, modeling two
Gaussian peaks with exponential decay. Initial guesses were chosen for the
models. These can be obtained by holding down
CONTROL-C (Windows) and then
clicking on the plot with the mouse.
![[Graphics:Images/index_gr_39.gif]](Images/index_gr_39.gif)
![[Graphics:Images/index_gr_40.gif]](Images/index_gr_40.gif)
Here is a plot of the new function.
![[Graphics:Images/index_gr_41.gif]](Images/index_gr_41.gif)
Here is a plot of the data with the fitted curve.
![[Graphics:Images/index_gr_43.gif]](Images/index_gr_43.gif)
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