Repetitive Similarity Analysis for Density Maps

Computes within-condition and between-condition similarity for density maps. For each density map (trial), this function calculates its average similarity to all other maps within the same condition (`repsim`) and its average similarity to all maps from different conditions (`othersim`).

Usage

repetitive_similarity(
  tab,
  density_var = "density",
  condition_var,
  method = c("spearman", "pearson", "fisherz", "cosine", "l1", "jaccard", "dcov", "emd"),
  pairwise = FALSE,
  multiscale_aggregation = "mean",
  ...
)

Arguments

tab

A data frame or tibble containing the density maps and condition identifiers.

density_var

A character string specifying the name of the column containing the density maps (must be of class "density" or compatible). Default is "density".

condition_var

A character string specifying the name of the column identifying the condition for each trial.

method

A character string specifying the similarity method to use, passed to `similarity.density`. Possible values include "spearman", "pearson", "fisherz", "cosine", "l1", "jaccard", "dcov". Default is "spearman".

pairwise

A logical value indicating whether to return the raw pairwise similarity scores within the same condition for each trial. Default is FALSE. If TRUE, a list column named `pairwise_repsim` will be added.

multiscale_aggregation

If densities are multiscale (i.e., `eye_density_multiscale` objects), this specifies how to aggregate similarities from different scales. Options include "mean" (default) or "none" (to get a list column of similarity vectors in `pairwise_repsim`). Note: `repsim` and `othersim` always report the mean similarity across scales.

...

Additional arguments passed to the `similarity.density` function.

Value

The input tibble `tab` augmented with the following columns: - `repsim`: The average similarity of the trial's density map to other maps within the same condition. - `othersim`: The average similarity of the trial's density map to maps from all other conditions. - `pairwise_repsim` (optional, if `pairwise = TRUE`): A list column containing vectors of similarity scores between the trial and each other trial within the same condition.

Examples

# \donttest{
  # Generate a small synthetic dataset of density maps across two conditions.
  # Each "density_map" is created from normally-distributed random samples.
  set.seed(123)
  n_trials   <- 20
  conditions <- rep(c("A", "B"), each = n_trials / 2)

  my_data <- tibble::tibble(
    subject         = rep(1:4, length.out = n_trials),
    trial_condition = conditions,
    density_map     = purrr::map(seq_len(n_trials), function(i) {
      x <- rnorm(100,
                 mean = ifelse(conditions[i] == "A", 0, 2),
                 sd   = 1)
      stats::density(x)
    })
  )

  # Compute within- and between-condition similarity.
  result <- repetitive_similarity(
    my_data,
    density_var   = "density_map",
    condition_var = "trial_condition",
    method        = "cosine"
  )
#> Warning: Less than 2 common valid data points for similarity calculation.
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  # Optionally, return the raw pairwise similarities.
  result_pairwise <- repetitive_similarity(
    my_data,
    density_var   = "density_map",
    condition_var = "trial_condition",
    method        = "cosine",
    pairwise      = TRUE
  )
#> Warning: Less than 2 common valid data points for similarity calculation.
#> Warning: Less than 2 common valid data points for similarity calculation.
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# }