unlocking the secrets patterns in data. techniques plotting log-log, semi-log, scaling statistics...
TRANSCRIPT
UNLOCKING THE SECRETS
Patterns in Data
Techniques
Plotting Log-log, semi-log, scaling
StatisticsFrequency domain (fft)
xmgrace xy plotting tool
Derivatives and integrals – hare/lynx
Dimensionless numbers Reynolds number, prandtl, etc
Why and When to Use
Particularly important for emergent behavior projects (emergent math)
Can be used for experiments and for calculation analysis
Discriminator for top projects Appears to be an improvement vs Improves the result with a 98% confidence level
Statistics
Averages or MeansProbabilities and Random NumbersRegression and CorrelationANOVA or t-tests (determine whether
samples are from one population or two)Bayesian – (advanced, hard!)
Pressure Record from Explosive Test
Second curve is impulse -- integration of data Shows ‘energy’
Frequency analysis is also useful (60 hz, tube diameter)
Predator-PreyHare/Lynx
Integration
Derivatives
Birth Rates, Death rates
Frequency Analysis
Period
Dimensionless Numbers
Concept is to pick combination of terms that eliminates units Reynolds number Prandtl number Mach number
Used in experiments to scale down size
Additional Thoughts
Comparison to experimental data is important Looking at only experimental data or calculational
results yields little insight – The great leaps in learning occurs when you compare the calculational results to experimental data
Verification and Validation is critical for a model Running a model for a known simple case to validate
it is a critical step