Cumulative Complexity Peaks (CCP)

Computes significant peaks in the dynamic complexity time series.

dc_ccp(
  df_win,
  alpha_item = 0.05,
  alpha_time = 0.05,
  doPlot = FALSE,
  useVarNames = TRUE,
  colOrder = TRUE,
  useTimeVector = NA,
  timeStamp = "31-01-1999",
  markID = NA,
  markIDcolour = "grey",
  markIDlabel = "Time points of interest marked grey",
  markIDalpha = 0.5,
  NAdates = 1:(win - 1),
  trimFirstWin = TRUE
)

Arguments

df_win

A data frame containing series of Dynamic Complexity values obtained by running function dc_win()

alpha_item

The significance level of the one-sided Z-test used to determine which peaks are > 0.

alpha_time

The significance level of the one-sided Z-test used to determine if the number of significant peaks (as determined by alpha_item) at a specific time stamp are > 0.

doPlot

If TRUE shows a Complexity Resonance Diagram of the Dynamic Complexity and returns an invisible ggplot2::ggplot() object. (default = FALSE)

useVarNames

Use the column names of df as variable names in the Complexity Resonance Diagram (default = TRUE)

colOrder

If TRUE, the order of the columns in df determines the of variables on the y-axis. Use FALSE for alphabetic/numeric order. Use NA to sort by by mean value of Dynamic Complexity (default = TRUE)

useTimeVector

Parameter used for plotting. A vector of length NROW(df), containing date/time information (default = NA)

timeStamp

If useTimeVector is not NA, a character string that can be passed to lubridate::stamp() to format the the dates/times passed in useTimeVector (default = "01-01-1999")

markID

Numeric vector of integers in the range [length of window, length of timeseries]. Vertical lines will be drawn at these indices (default = NA)

markIDcolour

Colour of time point markers (default = "red")

markIDlabel

Label added to subtitle explaining time point markers (default = Time points of interest marked red)

markIDalpha

Alpha of time point marker colour (default = .5)

NAdates

Should some dates be considered NA? Provide a numerical vector with indices, the default is to set 1:(win-1) to NA. (default = 1:(win-1))

trimFirstWin

Display the first empty window (1:win-1)? (default = TRUE)

Value

A list with a dataframe of binary complexity peak indices and a cumulative complexity peak index, a CCP diagram.

References

Haken H, & Schiepek G. (2006). Synergetik in der Psychologie. Selbstorganisation verstehen und gestalten. Hogrefe, Göttingen.

Schiepek, G. (2003). A Dynamic Systems Approach to Clinical Case Formulation. European Journal of Psychological Assessment, 19, 175-184. https://doi.org/10.1027//1015-5759.19.3.175

Schiepek, G., & Strunk, G. (2010). The identification of critical fluctuations and phase transitions in short term and coarse-grained time series-a method for the real-time monitoring of human change processes. Biological cybernetics, 102(3), 197-207. https://doi.org/10.1007/s00422-009-0362-1

See also

Other Dynamic Complexity functions: dc_d(), dc_f(), dc_win(), plotDC_ccp(), plotDC_lvl(), plotDC_res()

Author

Merlijn Olthof

Fred Hasselman