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QQ Plot. Quantile to Quantile Plot Quantile: Points taken at regular intervals from the cumulative distribution function (CDF) of a random variable QQ Plot: Graphical method for comparing two probability distributions by plotting quantiles of their values against each other

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Presentation Transcript
qq plot
QQ Plot
  • Quantile to Quantile Plot
  • Quantile:
    • Points taken at regular intervals from the cumulative distribution function (CDF) of a random variable
  • QQ Plot:
    • Graphical method for comparing two probability distributions by plotting quantiles of their values against each other
    • Does not include spatial-temporal information

Wikipedia

quantiles
Quantiles
  • If the data set have 10 values of:
    • 3, 6, 7, 8, 8, 10, 13, 15, 16, 20
  • 4 quantiles would result in:
    • 10 x ¼ = 2.5, rounded to 3 => 7
    • 10 x ½ = 5 => 8
    • 10 x ¾ = 7.5, rounded to 8 => 15
how could we do better
How could we do better?
  • Integrate over space and time
  • Use topographic surfaces as trends
resampling
Resampling
  • Bootstrapping
    • Drawing sets of samples, with replacement from the original dataset
    • Different results each time
  • Jackknifing
    • Repeat the estimation leaving out part of the dataset each time
    • Repeatable
  • Work with any interpolation or trend-surface method
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