Stat

\ The aim of this library is to copmute statistics for 2D data, of type Data = List Point, where Paint = { x : Float , y : Float }. Thus, if data is of typeData, you would calculate the aveerage of the x-values as inaverage .x data. To get the full packate of statisitcal information on such a value, usestatistis data. The result is a value of typeStatitiscs, described in detail below. It is a record containting the mean and standard deviation of the x and y values, the coefficeintsmandb(as iny = mx + bof the regression line, theR^2` coefficient, etc. )

type alias Data =

List Point

The fundamental data structure: a list of points.

type alias Point =

{ x : Float

, y : Float

}

A point in the Cartesian plane given by x and y coordinates

type alias Statistics =

{ m : Float

, b : Float

, n : Int

, r2 : Float

, xMin : Float

, xMax : Float

, xMean : Float

, yMean : Float

, xStdev : Float

, yStdev : Float

, leftDataPoint : Point

, rightDataPoint : Point

, leftRegressionPoint : Point

, rightRegressionPoint : Point

}

A Statistics value holds information like the mean and standard deviation of the x and y values of Data value (list of points), as well as the coefficients m and b of the regression line, the R^2 value, etc. Compute using statistics data.

average : (data -> Float) -> List data -> Maybe Float

Compute the average of a column in a list of data, e.g.,

```average .x data```

which computes the average of the x-values.

filterData : Filter -> Data -> Data

Apply filters to the data, This is set up as a pipeline so that other filters can be added later. We may have to go with different architectue if we have may filters -- best to avoid too many repeated list traversals.

maximum : (data -> Float) -> List data -> Maybe Float

Compute the maximum of a column in a list of data, e.g.,

```maximum .x data```

which computes the maximum of the x-values.

minimum : (data -> Float) -> List data -> Maybe Float

Compute the minimum of a column in a list of data, e.g.,

```minimum .x data```

which computes the minimum of the x-values.

statistics : Data -> Maybe Statistics

Compute the statistics of a Data value.

stdev : (data -> Float) -> List data -> Maybe Float

Compute the standard deviation of a column in a list of data, e.g.,

```stdev .x data```

which computes the standard deviation of the x-values.

jxxcarlson/elm-stat/1.0.0

Stat

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