1. Basic statistical concepts and techniques Mean and variance Probability distribution, and statistical significance Harmonic analysis and power spectrum White and red noise

2. How to compute the mean and variance of a time series mean is given by The variance is given by Time series are given by X 1, X 2 -----------X n, then the

3. Probability distribution The normal distribution--the bell curve

4. Probability distribution An non-normal distribution

5. Statistical significance The significance of a climate anomaly 38% 95%

6. The statistical significance of the warming of the last 20 years

7. Statistical significance The significance of a trend

8. Harmonic analysis A time-series may be decomposed into a set of harmonics

9. Harmonic analysis Power spectrum of a time series

10. Changes in the distribution