AS 5001 Advanced (Astronomical) Data Analysis
Keith Horne -- University of St.Andrews
Astronomy Picture of the Day .
Homework Set 1 (due 10am Mon 17 Oct 2011)
hw1.ps.
.pdf.
bias.dat .
Homework Set 2 (due Noon Mon 14 Nov 2011)
hw2.ps.
.pdf.
Project 1 (due Fri 16 Dec 2011)
p1.ps.
.pdf.
hst_oycar.dat.
Project 2 (due Fri 16 Dec 2011)
p2.ps.
.pdf.
keck.tar.gz.
PGPLOT (Graphics Subroutine Library):
PGPLOT
.
Subroutine Descriptions
.
Example PGPLOT codes:
Source code:
simple.for .
Compile/link:
simple.com .
Resulting plots:
simple.ps
.pdf
.gif
Source code:
simplot.for .
Compile/link:
simplot.com .
Resulting plots:
simplot.ps
.pdf
.gif .
Numerical Recipes
.
Online
.
The Ways of Our Errors (Incomplete Draft Textbook)
woe.ps ,
.pdf .
2011 ADA Lectures (available shortly after each lecture)
ada01.pdf
,
ada01c.pdf
,
Astro datasets, noise, statistical/systematic errors, probability
distributions, mean, median, variance, moments,
Uniform, Gaussian, Lorentzian, Poisson, Exponential, Chi2.
ada02.pdf
,
ada02c.pdf
,
5-sigma rule, multi-variate pdfs, linear transformations,
co-variance, correlation matrix.
ada03.pdf
,
ada03c.pdf
,
error bar propogation, non-linear transformations,
magnitude bias, generating non-uniform random numbers.
ada04.pdf
,
ada04c.pdf
,
Central Limit Theorem, sample mean, optimal average.
ada05.pdf
,
ada05c.pdf
,
optimal scaling, Chi^2 fits, 1-sigma at Delta_chi^2=1.
ada06.pdf
,
ada06c.pdf
,
Chi^2 distn, degrees of freedom, sample variance, robust
estimation, mean vs median, median filtering,
sigma-clipping, various BoF statistics.
ada07.pdf
,
ada07c.pdf
,
error bars are model parameters, conditional probabilities,
Bayes' theorem, Bayesian inference, maximum likelihood,
gaussian priors, parameters affecting sigma, Poisson data.
ada08.pdf
,
ada08c.pdf
,
Monte-Carlo methods, bootstrap, confidence intervals and regions,
fit a line, correlated vs orthogonal parameters.
ada09.pdf
,
ada09c.pdf
,
Linear Regression, Normal Equations, Hessian Matrix,
Non-Linear Models, Linearisation, Amoeba (Downhill Simplex),
MCMC (Markov-Chain Monte-Carlo).
ada10.pdf
,
ada10c.pdf
,
Vector Space Perspective, Data Space Metric,
Error bars in both X and Y.
ada11.pdf
,
ada11c.pdf
,
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
,
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
,
Timing analysis: ephemerides, O-C diagrams. Periodograms:
spectral leakage, Fourier basis, Nyquist frequency,
aliasing above Nyquist frequency, beating.
ada14.pdf
,
ada14c.pdf
,
Fourier analysis:
amplitude and phase modulation, harmonics, data gaps, spike,
white noise, dynamic power spectra.
ada15.pdf
,
ada15c.pdf
,
Wavelets. spline decomposition.
red vs white noise.
cross-correlation. Projects 1 & 2.
2010 ADA Lectures (to be superseded as we progress)
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.
Return to
Astronomy Group Homepage
Keith Horne (kdh1-nospam-@st-and.ac.uk)