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#' Calculate summary statistics | ||
#' | ||
#' @description | ||
#' `r lifecycle::badge('experimental')` | ||
#' | ||
#' Calculate summary statistics for tracks | ||
#' | ||
#' @param data A kinematics data frame | ||
#' @param threshold_velocity Choose which observations to use based on the velocity. A number, "auto" or "none". Can take a number (e.g. estimated from histograms) or "auto". "auto" fits a density function to the velocities and tries to identify a local minimum between the first and second local maxima, and uses that as the threshold. "none" keeps all observations. | ||
#' | ||
#' @param measures Measures of central tendency and dispersion. Options are `median_mad` (default) and `mean_sd`. See description for more information. | ||
#' @param straightness Which method to calculate path straightness. Choose between "A" (default), "B", "C"... or a combination (e.g. "c("A","B")"). See description for details about the different calculations. | ||
#' @return An data frame data frame with kinematics calculated | ||
#' @export | ||
#' @import dplyr | ||
#' @import circular | ||
#' @importFrom collapse fmean fmedian fsd | ||
#' @importFrom rlang := | ||
#' @importFrom rlang .data | ||
#' | ||
calculate_statistics <- function( | ||
data, | ||
threshold_velocity | ||
measures = "median_mad", | ||
straightness = c("A", "B", "C", "D") | ||
) { | ||
# Make some tests to ensure that `calculate_kinematics` has been run first | ||
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# Make sure to remove observations with almost no movement (figure out a robust method for this) | ||
validate_statistics() | ||
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# Calculate translational and rotational separately (maybe?) and gather at the end | ||
data <- data |> | ||
dplyr::summarise() | ||
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# dplyr::mutate(distance = sqrt(.data$dx^2 + .data$dy^2), | ||
# v_translation = .data$distance * sampling_rate, | ||
# direction = atan2(.data$dx, .data$dy), | ||
# direction = if_else(.data$dy == 0 | .data$dy == 0, NA, direction), | ||
# direction = if_else(.data$direction < 0, .data$direction + 2*pi, .data$direction), # Keep direction between 0 and 2*pi | ||
# direction = zoo::na.locf(.data$direction, na.rm = FALSE), | ||
# rotation = direction - lag(direction), | ||
# # rotation = dplyr::if_else(abs(.data$dx) > 1 & abs(.data$dy) > 1, | ||
# # abs(dplyr::lag(.data$direction) - .data$direction), | ||
# # 0), | ||
# # rotation = dplyr::if_else(.data$rotation > pi, 2*pi - .data$rotation, .data$rotation), | ||
# v_rotation = .data$rotation * sampling_rate, | ||
# ) | ||
totals <- data |> | ||
dplyr::summarise(across(c(.data$distance, .data$rotation), ~ collapse::fsum(abs(.x)), .names = "total_{.col}"), | ||
across(c(.data$x, .data$y), ~ dplyr::last(.x, na_rm = TRUE), .names = "last_{.col}"), | ||
.by = .data$uid) | ||
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totals <- totals |> | ||
calculate_straightness(straightness) | ||
# dplyr::mutate("straightness_{{ A }} = calculate_straightness(.data$last_x, .data$last_y, .data$total_distance, method = straightness)) | ||
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if (measures == "median_mad"){ | ||
data <- data |> | ||
dplyr::summarise(across(c(.data$direction), ~ collapse::fmean(circular::circular(.x, modulo = "2pi")), .names = "median_{.col}"), | ||
across(c(.data$direction), ~ calculate_circular_mad(circular::circular(.x, modulo = "2pi")), .names = "mad_{.col}"), | ||
across(c(.data$v_translation, .data$a_translation, .data$v_rotation, .data$a_rotation), ~ collapse::fmedian(abs(.x)), .names = "median_{.col}"), | ||
across(c(.data$v_translation, .data$a_translation, .data$v_rotation, .data$a_rotation), ~ stats::mad(abs(.x), na.rm = TRUE), .names = "mad_{.col}"), | ||
.by = .data$uid | ||
) |> | ||
left_join(totals) |> | ||
select(-c(.data$last_x, .data$last_y)) |> | ||
suppressMessages() | ||
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} else if (measures == "mean_sd"){ | ||
data <- data |> | ||
dplyr::summarise(across(c(.data$direction), ~ collapse::fmean(circular::circular(.x)), .names = "mean_{.col}"), | ||
across(c(.data$direction), ~ circular::sd(circular::circular(.x)), .names = "sd_{.col}"), | ||
across(c(.data$v_translation, .data$a_translation, .data$v_rotation, .data$a_rotation), ~ collapse::fmean(abs(.x)), .names = "mean_{.col}"), | ||
across(c(.data$v_translation, .data$a_translation, .data$v_rotation, .data$a_rotation), ~ collapse::fsd(abs(.x)), .names = "sd_{.col}"), | ||
.by = .data$uid | ||
) |> | ||
left_join(totals) |> | ||
select(-c(.data$last_x, .data$last_y)) |> | ||
suppressMessages() | ||
} | ||
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return(data) | ||
} | ||
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#' Calculate circular Median Absolute Deviation (MAD) | ||
#' @param angles Vector of angles | ||
#' @importFrom circular circular | ||
#' @importFrom collapse fmedian | ||
#' @keywords internal | ||
calculate_circular_mad <- function(angles) { | ||
ensure_circular(angles) | ||
# Convert angles to circular object | ||
angles_circular <- circular::circular(angles, units = "radians") | ||
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# Calculate circular median | ||
circular_median <- collapse::fmedian(angles_circular) | ||
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# Compute absolute deviations from the circular median | ||
abs_dev <- abs(angles_circular - circular_median) | ||
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# Calculate and return the median absolute deviation | ||
collapse::fmedian(abs_dev) | ||
} |
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#' Calculate straightness measures | ||
#' | ||
#' @param data Data frame | ||
#' @param straightness hich method to calculate path straightness. Choose between "A" (default), "B", "C"... or a combination (e.g. "c("A","B")"). See description for details about the different calculations. | ||
#' | ||
#' @keywords internal | ||
#' @export | ||
calculate_straightness <- function(data, straightness = c("A", "B", "C", "D")){ | ||
# Make validator to ensure that x,y,total_translation and total_rotation is present | ||
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data <- data |> | ||
dplyr::mutate(straightness_A = calculate_straightness_A( | ||
.data$last_x, | ||
.data$last_y, | ||
.data$total_distance), | ||
straightness_B = calculate_straightness_B( | ||
.data$last_x, | ||
.data$last_y, | ||
.data$total_distance), | ||
straightness_C = calculate_straightness_C( | ||
.data$total_distance, | ||
.data$total_rotation), | ||
straightness_D = calculate_straightness_D( | ||
.data$total_distance, | ||
.data$total_rotation) | ||
) | ||
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# Only select the methods chosen by the user | ||
possible_straightness <- c("A", "B", "C", "D") | ||
possible_straightness_columns <- paste("straightness", possible_straightness, sep = "_") | ||
straightness_columns <- paste("straightness", straightness, sep = "_") | ||
columns_not_selected <- possible_straightness_columns[which(!possible_straightness_columns %in% straightness_columns)] | ||
data <- data |> | ||
dplyr::select(!all_of(columns_not_selected)) | ||
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return(data) | ||
} | ||
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#' @keywords internal | ||
calculate_straightness_A <- function(x, y, distance){ | ||
calculate_distance(x, y) / distance | ||
} | ||
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#' @keywords internal | ||
calculate_straightness_B <- function(x, y, distance){ | ||
distance / calculate_distance(x, y) | ||
} | ||
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#' @keywords internal | ||
calculate_straightness_C <- function(distance, rotation){ | ||
distance / as.numeric(rotation) | ||
} | ||
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#' @keywords internal | ||
calculate_straightness_D <- function(distance, rotation){ | ||
as.numeric(rotation) / distance | ||
} |
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#' Clean kinematics | ||
#' | ||
#' @description | ||
#' `r lifecycle::badge('experimental')` | ||
#' | ||
#' @param data tidy movement data frame with kinematics | ||
#' | ||
#' @return a clean kinematics data frame | ||
#' @export | ||
clean_kinematics <- function(data){ | ||
# Place validators here | ||
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# Proceed to make the cleaning | ||
data <- data |> | ||
dplyr::filter(.data$direction != atan2(1,0) & .data$direction != atan2(0,1)) |> | ||
dplyr::filter(.data$v_translation > 0) | ||
return(data) | ||
} |
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