Darwin's finches: A full-blown statistical analysis Statistical - - PowerPoint PPT Presentation

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Darwin's finches: A full-blown statistical analysis Statistical - - PowerPoint PPT Presentation

Aug 31, 2022 366 likes •611 views

STATISTICAL THINKING IN PYTHON II Darwin's finches: A full-blown statistical analysis Statistical Thinking in Python II Your well-equipped toolbox Graphical and quantitative EDA Parameter estimation Confidence interval

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STATISTICAL THINKING IN PYTHON II

Darwin's finches: A full-blown statistical analysis

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Statistical Thinking in Python II

Your well-equipped toolbox

  • Graphical and quantitative EDA
  • Parameter estimation
  • Confidence interval calculation
  • Hypothesis testing
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Statistical Thinking in Python II

Image: Public domain, US

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Statistical Thinking in Python II

Image: NASA

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Statistical Thinking in Python II

The island of Daphne Major

Image: Grant and Grant, 2014

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Statistical Thinking in Python II

The finches of Daphne Major

Source: John Gould, public domain Geospiza fortis Geospiza scandens

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Statistical Thinking in Python II

Our data source

  • Peter and Rosemary Grant

40 Years of Evolution: Darwin's Finches on Daphne Major Island Princeton University Press, 2014

  • Data acquired from Dryad Digital Repository

hp://dx.doi.org/10.5061/dryad.g6g3h

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Statistical Thinking in Python II

The dimensions of the finch beak

beak length

Source: John Gould, public domain

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Statistical Thinking in Python II

The dimensions of the finch beak

beak depth

Source: John Gould, public domain

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Statistical Thinking in Python II

Investigation of G. scandens beak depth

  • EDA of beak depths in 1975 and 2012
  • Parameter estimates of mean beak depth
  • Hypothesis test: did the beaks get deeper?
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STATISTICAL THINKING IN PYTHON II

Let’s do it!

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STATISTICAL THINKING IN PYTHON II

Variation in beak shapes

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Statistical Thinking in Python II

The drought of winter 1976/1977

Source: Grant and Grant, 2014

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Statistical Thinking in Python II

Beak geometry

beak length beak depth

Source: John Gould, public domain

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Statistical Thinking in Python II

Hint

  • draw_bs_pairs_linreg() will come in handy
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STATISTICAL THINKING IN PYTHON II

Let’s do it!

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STATISTICAL THINKING IN PYTHON II

Calculation of heredity

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Statistical Thinking in Python II

The finches of Daphne Major

Source: John Gould, public domain Geospiza fortis Geospiza scandens

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Statistical Thinking in Python II

Heredity

  • The tendency for parental traits to

be inherited by offspring

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STATISTICAL THINKING IN PYTHON II

Let’s do it!

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STATISTICAL THINKING IN PYTHON II

Final thoughts

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Statistical Thinking in Python II

Your statistical thinking skills

  • Perform EDA
  • Generate effective plots like ECDFs
  • Compute summary statistics
  • Estimate parameters
  • By optimization, including linear regression
  • Determine confidence intervals
  • Formulate and test hypotheses
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STATISTICAL THINKING IN PYTHON II

Bon voyage!