AS5001 (SUPAAAA) Advanced (Astronomical) Data Analysis

Keith Horne -- University of St.Andrews

10am Mon, 9am Tue & Thu, SUPA room 307.

Astronomy Picture of the Day .
PGPLOT (Graphics Subroutine Library): PGPLOT . Subroutine Descriptions .
Example PGPLOT codes:
Source code: simple.for . Compile/link: . Resulting plots: .pdf .gif
Source code: simplot.for . Compile/link: . Resulting plots: .pdf .gif .
Numerical Recipes . Online .
The Ways of Our Errors (Incomplete Draft Textbook) , .pdf .
SUPA (lecture videos) (alternatively, links to mp4 files below)
2018 ADA Lectures (to appear shortly after each lecture)
2017 ADA Lectures (to be updated as we go along )
ada01.pdf , ada01c.pdf , 2015_mp4 . Astro datasets, noise, statistical/systematic errors, probability distributions, mean, median, variance, MAD, central moments, skewness, kurtosis, Uniform, Gaussian, Lorentzian, Poisson, Exponential, Chi^2.
ada02.pdf , ada02c.pdf , 2015_mp4 . 5-sigma rule, multi-variate distributions, independence vs correlation, linear transformations, co-variance, correlation matrix.
ada03.pdf , ada03c.pdf , 2015_mp4 . error bar propagation, non-linear transformations, magnitude bias, generating non-uniform random numbers.
ada04.pdf , ada04c.pdf , 2015_mp4 . Central Limit Theorem, Sample Mean, Optimal Average.
ada05.pdf , ada05c.pdf , 2015_mp4 . Optimal Scaling, Chi^2 fits, 1-sigma at Delta_Chi^2=1.
ada06.pdf , ada06c.pdf , 2015_mp4 . Chi^2 distn, degrees of freedom, sample variance, robust estimation, mean vs median, median filtering, sigma-clipping, various BoF statistics.
ada07.pdf , ada07c.pdf , 2015_mp4 . error bars are model parameters, maximum likelihood, parameters affecting sigma, fits to Poisson data, conditional probabilities, Bayes' theorem, Bayesian inference, gaussian priors.
ada08.pdf , ada08c.pdf , 2015_mp4 . Monte-Carlo and Bootstrap sampling, m-pameter k-sigma confidence regions, fit a line, correlated vs orthogonal parameters.
ada09.pdf , ada09c.pdf , 2015_mp4 . Linear Regression, Normal Equations, Hessian Matrix, Non-Linear Models, Linearisation, Amoeba (Downhill Simplex), MCMC (Markov-Chain Monte-Carlo).
ada10.pdf , ada10c.pdf , 2015_mp4 . Vector Space Perspective, Data Space Metric, Error bars in both X and Y.
ada11.pdf , ada11c.pdf , 2015_mp4 . Vector Space Methods. Scaling Orthogonal Patterns, Hessian Matrix for Non-Linear Models, Graham-Schmidt Orthogonalisation, Orthogonal Polynomials, Reduced Chi^2 for Rejecting Models, Occam's Razor, AIC, AICc, BIC.
ada12.pdf , ada12c.pdf , 2015_mp4 . Chi^2_min Diagnosis. Re-scaling error bars. Extra variance. Background fits - polys, splines, running optimal average, median filter, sigma clip, variance of median.
ada13.pdf , ada13c.pdf , 2015_mp4 . Timing analysis: ephemerides, O-C diagrams. Periodograms: spectral leakage, Fourier basis, Nyquist frequency, aliasing above Nyquist frequency, beating, pre-whitening, harmonics, data gaps.
ada14.pdf , ada14c.pdf , 2015_mp4 . Fourier analysis: amplitude and phase modulation, spike, white noise, dynamic power spectra. wavelets. spline decomposition. red vs white noise.
ada15.pdf , ada15c.pdf , 2015_mp4 . Cross-correlation. Description of Projects 1 & 2.

ADA Lectures (astro-specific) no longer given.
ada16 (handout only). High-Speed Photometry: photomultiplier tubes. coincidence losses. tagging. sky background fits. extinction and absolute calibration.
ada17 (handout only). CCD detectors. Bias and Flat Field calibration. CCD noise model: Readout noise, Gain. CCD Spectroscopy. Differential refraction. Tracing the spectrum. Sky subtraction. Normal vs Optimal extraction.
ada18 (handout only). Wavelength calibration. Extinction corrections including saturated Telluric lines. Absolute flux calibration. Slit loss corrections.
ada19 (handout only). Crowded Field CCD photometry.
ada20 (handout only). Tomography.
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