Based on the DescTools `AUC`

function. It can calculate the area under the curve with a naive algorithm or a more elaborated spline approach. The curve must be given by vectors of xy-coordinates. This function can handle unsorted x values (by sorting x) and ties for the x values (by ignoring duplicates).

area_under_curve(x, y, method = c("trapezoid", "step", "spline"), ...)
auc(x, y, method = c("trapezoid", "step", "spline"), ...)

## Arguments

x |
Vector of x values. |

y |
Vector of y values. |

method |
Method to compute the Area Under the Curve (AUC). Can be `"trapezoid"` (default), `"step"` or `"spline"` . If "trapezoid", the curve is formed by connecting all points by a direct line (composite trapezoid rule). If "step" is chosen then a stepwise connection of two points is used. For calculating the area under a spline interpolation the splinefun function is used in combination with integrate. |

... |
Arguments passed to or from other methods. |

## See also

## Examples

#> [1] 0.4980976

area_under_curve(x, y, method = "step")

#> [1] 0.4992463

area_under_curve(x, y, method = "spline")

#> [1] 0.4980982