rand function

Comparing partitions on one or multiple sets of units

Rand Index and Rand Index corrected/adjusted for chance for comparing partitions (Hubert & Arabie, 1985). The functions also support computing these indices on partitions on multiple sets (where a "combined" partition is a list of multiple partitions). The names of the clusters do not matter. UTF-8

rand(clu1, clu2, tab)

crand(
  clu1,
  clu2,
  tab,
  multiSets = c("weights", "unlist"),
  weights = c("size", "equal"),
  returnIndividual = "attr"
)

rand2(clu1, clu2)

crand2(clu1, clu2)

Arguments

• clu1: The first of the two partitions to be compared, given in the form of vectors, where for each unit a cluster membership is given. Alternatively, this can be a contingency table obtained as a table(clu1, clu2). If a partition, clu2 must also be provided. In case of multiple sets, this should be pa list of partitions.
• clu2: If clu1 is partition or a list of partitions, this must be a comaptible the second partition or list of partitions.
• tab: A contingency table obtained as a table(clu1, clu2). This is included for back-compatibility reasons. If this is present, all other arguments are ignored.
• multiSets: How should we compute the index in case of multiple sets of unis (if clu1 and clu2 are lists of partitions)? Possible values are "unlist" and "weight" (the default).
• weights: Weights to be used if multiSets is "weight". It can be "equal", "size" (default) or a numeric (non-negative) vector of the same length as the number of sets (the number of partitions in the list of partitions).
• returnIndividual: If multiSets is "weight", should the indices for individual sets be also returned. If TRUE, the function returns a list instead of a single value. If the values is "attr" (the default), the indices by sets are given as an attribute "bySets"

Returns

The value of Rand Index (corrected/adjusted for chance) unless multiSets="weight" and returnIndividual=FALSE. In this case, a list with two items is return. The "global" index is in global, while the the indices by sets are in bySets.

References

Hubert, L., & Arabie, P. (1985). Comparing Partitions. Journal of Classification, 2(1), 193-218.

Author(s)