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

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Presentation transcript:

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

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 X n, then the

Probability distribution The normal distribution--the bell curve

Probability distribution An non-normal distribution

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

The statistical significance of the warming of the last 20 years

Statistical significance The significance of a trend

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

Harmonic analysis Power spectrum of a time series

Changes in the distribution

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