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© 2008 The MathWorks Limited ® ® Solving Data Analysis Challenges Using MATLAB ® and Statistics Products Marta Wilczkowiak Application Engineer

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Page 1: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

©20

08 T

he M

athW

orks

Lim

ited

® ®

Solving Data Analysis Challenges Using MATLAB ® and Statistics Products

Marta Wilczkowiak

Application Engineer

Page 2: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

2

® ®

Agenda

� Example data analysis workflow

� Demonstration: Analysis of aircraft wing stress

� Summary

� Question and answer

Page 3: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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Example Data Analysis Workflow

Simulation(Simulink ®)

Test

Test Computer(Data Acquisition

Software)

Pre-Processor(Excel ®)Data Archive

(.CSV Files)

Data Analysis(Stats Software)

Visualization(MATLAB ®)

MathematicalModeling

(FORTRAN)

Page 4: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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® ®

Simulation(Simulink ®)

Test

Test Computer(Data Acquisition

Software)

Pre-Processor(Excel ®)Data Archive

(.CSV Files)

Data Analysis(Stats Software)

Visualization(MATLAB ®)

MathematicalModeling

(FORTRAN)

What are the challenges in this workflow?

� Automation� Ability to share and re-use analysis routines� Reporting� Quality Assurance

Data Acquisition

� Hardware acquisition� Multiple file types� Volume of data

Data and Process Management� Across software applications

Page 5: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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Demonstration: Wing Stress Analysis

� Identify sensor failures and data anomalies� Determine if:

� Stress levels on left andright wings are the same

� Shear force on the wingexceeds 160 kN duringextreme wind conditions

y-axis

x-axis

0o

120o

30o

60o

90o

-120o

-30o

-60o

-90o

Left Right

L1L7 R1 R7

Page 6: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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Summary – Wing Stress Analysis

� Imported and visually inspected data

� Used statistics functionalityto support the analysis� Hypothesis testing

� Dataset and categorical arrays

� Specialized visualizations and analysis techniques

� Used curve fitting analysisto estimate shear force

Page 7: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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MATLAB

Summary

Simulation

Test

Test Computer

Pre-ProcessorData Archive

Data Analysis

Visualization

MathematicalModeling

Planning

Page 8: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

©20

08 T

he M

athW

orks

Lim

ited

® ®

Questions?

Page 9: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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Statistics Toolbox™

Statistics Toolbox™ provides interactive and command line tools for:

� Data collection and management� Descriptive statistics

� Multivariate statistics

� Probability distribution fittingand modeling

� Hypothesis testing

� Analysis of variance/covariance� Linear and nonlinear modeling

� Visualization

� Statistical Process Control

Page 10: The MathWorks - Solving Data Analysis Challenges Using MATLAB · exceeds 160 kN during extreme wind conditions y-axis x-axis 0o 120 o 30 o 60 o 90 o-120 o-30 o-60 o ... Statistics

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Curve Fitting Toolbox™

Graphical user interface and command line functions for:

� Previewing andpreprocessing data

� Developing, comparing, and managing models

� Extensive library of linear, nonlinear, and nonparametric models

� Customizable model fitting

� Interpolation, extrapolation,differentiation, and integration