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make_projection() outputs the agent or symbolic network corresponding to a survey, i.e. the row or column projection.

Usage

make_projection(
  data,
  layer = NULL,
  threshold_method = NULL,
  method_value = NULL,
  centre = NULL,
  dummycode = NULL,
  likert = NULL,
  mincomps = NULL,
  similarity_metric = NULL
)

Arguments

data

A data frame corresponding to a survey

layer

A string flag specifying which layer to project

  • "agent" produces the network corresponding to the agents, which we assume to be rows in data

  • "symbolic" produces the network corresponding to the symbols, or items, which we assume to be columns in data

threshold_method

A string flag specifying how edges are selected in the network representation.

  • "raw_similarity" means we remove all edges whose weight, meaning node similarity, is below a specified threshold.

  • "target_lcc" finds the value of the threshold that results in the network whose largest connected component is as close as possible to a specified value. In general a range of thresholds will satisfy this condition, and we choose the upper limit of this range.

  • "target_ad" finds the value of the threshold that results in the network whose average degree is as close as possible to a specified value.

method_value

A utility variable that we interpret according to the threshold_method chosen.

  • If threshold_method = "raw_similarity", then method_value is interpreted as the similarity threshold, and thus is in the range [-1, 1]. A value of -1 means no edges are removed, and a value of 1 means all edges are removed.

  • If threshold_method = "target_lcc", then method_value is interpreted as the desired fractional size of the largest connected component, in the range [0, 1]. E.g., when set to 0, no nodes are connected, and if set to 1, the network is as sparse as possible while remaining fully connected.

  • If threshold_method = "target_ad", then method_value is interpreted as the desired average degree. We assume that method_value is normalised to the range [0, 1] When method_value = 0, then no nodes are connected, and if method_value = 1, the network is complete, meaning it contains every possible edge.

centre

If FALSE, we shift edge weights by 1 from [-1, 1] to [0, 2]. Defaults to TRUE.

dummycode

flag that indicates whether we dummycode data.

likert

Specifies the range of the Likert scale contained in data.

mincomps

The minimum number of valid comparisons that must be made when computing the similarity between rows or columns in the data. If at least one of the entries in the fields being compared is NA, then the comparison is invalid.

similarity_metric

This currently has just one allowed value, namely the Manhattan distance, which is the default.

Value

A data frame corresponding to the edge list of the specified network. It contains three columns named

  • u, the first node adjacent to the edge

  • v, the second node adjacent to the edge, and

  • weight, the similarity between nodes u and v

Examples

S <- make_synthetic_data(20, 5)