Calculate the area of an `F2 x F1`

vowel space, either as the area of a polygon connecting vowel formant means, or the area of a convex hull encompassing all tokens.

1 2 | ```
convexHullArea(f1, f2, group=NULL)
vowelMeansPolygonArea(f1, f2, vowel, poly.order, group=NULL)
``` |

`f1` |
Numeric vector of first formant frequencies. |

`f2` |
Numeric vector or second formant frequencies. |

`vowel` |
Vector or factor of vowel identifiers (typically a character vector, though numeric will work). |

`poly.order` |
Order in which the polygon vertices should be connected.
Should contain each value in |

`group` |
Vector or factor indicating groupings of points to fit separate
convex hulls to. If |

McCloy, Daniel drmccloy@uw.edu

`chull`

, `areapl`

1 2 3 4 | ```
data(indoVowels)
hull.area <- with(indo, convexHullArea(f1, f2, group=subj))
poly.area <- with(indo, vowelMeansPolygonArea(f1, f2, vowel,
poly.order=c("i", "e", "a", "o", "u"), group=subj))
``` |

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