| Assignment 1 | Wed, Sep 17 (not graded) |
Practice with Matlab. Distributions. Measurement errors and their propagation. |
| Exercise 1 | Running mean and variance on L. Superior data set | |
| Exercise 2 | Calculating variance and probabilities for binomially distributed data. PDF. CDF. | |
| Assignment 2 | Wed, Sep 24 | Distribitions. PDF. CDF. Propagation of errors. Statistical testing and fitting. |
| Exercise 3 with solution |
Finding the mean and variance. Student's t distribution, error on the mean, statistical testing. Confidence intervals. Data rejection. | |
| Exercise 4 | Chi-square test, Kolmogorov-Smirnov test, integration of discrete sets using sums, cumulative sums. | |
| Assignment 3 | Wed, Oct 8 | KS test, chi-square, data rejection. |
| Exercise 5 | Linear fit and linear correlation coefficient. Chi-square and t-test of the fit. | |
| Exercise 6 | Correlation coefficient; effect of outliers; t-test. | |
| Exercise 7 | Correlation coefficient; effects of closure. | |
| Assignment 4 with solution |
Fri, Oct 17 | Correlations, significance of correlations |
| Exercise 8 | ANOVA | |
| Exercise 9 | ANOVA | |
| Exercise 10 | ANOVA | |
| Exercise 11 | Linear regression. Multiple regression. Nonlinear regression. | |
| Assignment 5 with solution |
Wed, Nov 5 | Distribution mean, pdf, cdf; error propagation; ANOVA. |
| Exercise 12 | Time series. Autocorrelation, cross-correlation, detection of cycles. | |
| Exercise 13 | Time series. Autocorrelation. Increments. | |
| Exercise 14 | Time series. Significance of autocorrelation. Delays. Detection of cycles. | |
| Exercise 15 | Time series. Fourier analysis. | |
| Assignment 6 with solution |
Wed Nov 19 | Regression. Time series: Autocorrelation; Fourier spectrum. |
| Exercise 16 | Time series. Fourier Analysis. Significance of peaks. | |
| Exercise 17 | Time series of events. Testing for randomness and trends. | |
| Exercise 18 with solution |
Time series of events. Testing for randomness, patterns, and trends. | |
| Exercise 19 | Principal component analysis |