Lec. 38 – Data Through Time / Sequences:Series of (Unfortunate?) Events

Needs for Understanding Series of Events

Example from GSA Bulletin, Aug. 1998

Testing for Randomness – the Poisson Distribution

Testing for Randomness – the Poisson Distribution

Worked Example: Testing for Randomness – Poisson Distribution of Volcanic Activity

Write an .m file, now, which:

1. Compiles the frequency distribution of data binned into 3-m intervals 2. Calculates the “expected” Poisson distribution, if process were random3. Conducts the c2 test with the appropriate null hypothesis.

Step 1: Assemble the observed frequency distrib.

Step 2. Calculate “expected” Poisson distribution

Step 3. Conducts the c2 test with the appropriate null hypothesis

Chi-Squared Test

Testing for Trends

Worked Example: Testing for Trends

Let’s program this!

Worked Example: Testing for Trends

Testing for Uniformity

Testing for Uniformity

Worked Example: Testing for Uniformity

Worked Example: Testing for Uniformity

Caveat on Testing for Uniformity

Testing for Patterns…

Testing for Trends