Qq plot
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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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QQ Plot

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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


Normal qq plot

Normal QQ Plot


Normal qq plot1

Normal QQ Plot


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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