DOI

Faux XL Charting in R (fxl)

The fxl package was designed to support transparent, replicable, and efficently-drawn figures that feature conventions common in applied behavior analysis.

The goals of the package are to:

Some highlighted features of the fxl package include:

Current Version

1.7.1

Changelog

Example Usage

Custom Experimental Designs (e.g., Multiple Baseline + Reversal)

The figure below is generated from data featured in a single-subject evaluation conducted by Gilroy et al. (2019) and redrawn using fxl.

The goal of this study was to demonstrate how an operant behavioral economic approach can be used in conjunction with functional communication training. There was two functions to address per functional analysis and three demonstrations of control were accomplished using a combination of multiple base and reversals.

The figure illustrated below uses fxl to illustrate a combination of multiple baseline features as well as a reversal. This figure features dynamic phase change lines, phase change lines varying in style, annotated text and arrows/brackets, and facet/phase labels.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Gilroy et al 2019

Alternating Treatment Design/Functional Analysis

The figure below illustrates the results of functional analysis. These data were also featured in the study conducted by Gilroy et al. (2019) and drawn using fxl. The functional analysis conducted by Gilroy et al. (2019) was designed to experimentally determine the function of an autistic child’s aggressive behavior towards their family.

This figure visualizes multiple data series that each represent a distinct condition and a legend is used to communicate what each type of data series reflects. Markers and lines feature customization, and for the example included below, correspond with the conventions common in functional analyses in published works.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Gilroy et al 2019

Custom Functional Analysis (i.e., integrated display of behavior and procedural integrity)

As an added layer of functionality, multiple layers of related data may be drawn on a single feature. In the case of functional analyses conducted by non-behavior analysts (e.g., caregivers), the degree to which non-professionals implement functional analysis procedures is directly related to how the learner behaves in those conditions. That is, rates of behavior may be elevated or depressed not because of the programmed contingencies but instead the deviations from those contingencies.

Additional information related to the functional analysis (e.g., percentage correct implementation) can be drawn alongside behavior rates using the fxl package.

The source code necessary to create such a figure is provided below (data included in the package).

Code to Draw Figure

Modified Functional Analysis

Concurrent Reversal Design across Participants

The figure below is built using data featured in a single-subject research design conducted by Gilroy et al. (2021) and drawn using fxl.

The goal of this study was to explore how unit price and price elasticity affects work output in the context of behavioral intervention. The figure illustrated below is drawn using fxl to illustrate a combination of individual reversals, visualized in a way to facilitate visual analysis across phases and participants to evaluate how degrees of demand elasticity influence rates of behavior emitted across schedules. This figure features dynamic phase change lines across participants, multiple target lines/markers, and facet/phase labels.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Gilroy et al 2021

Multiple Probe/Multiple Baseline Design

The figure below is built from data featured in Gilroy et al. (2015) and drawn using fxl.

The goal of this study was to explore whether a relational training procedure could be used to teach autistic children to demonstrate behavior consistent with Theory of Mind (i.e., derived relational responding via deictic frames). The figure illustrated below uses fxl to illustrate a multiple probe design, whereby the three demonstrations of control take place across participants through the systematic introduction of the independent variable (i.e., relational training procedure). This figure features dynamic phase change lines across participants, dynamically positioned phase change labels, and facet labels.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Gilroy et al 2015

Multiple Baseline Design with Annotations

Oftentimes there is a need to ‘grey out’ portions of a single-case figure to indicate that a certain event or procedure took place. For example, throughout the course of a research design, there may be periods of time where procedures have taken place but the dependent variable of interest is not captured (e.g., training sessions prior to formally introducing and independent variable). This is often appreciated to communicate to the analyst that something did or did not take place immediately prior to collecting information related to intervention (e.g., training prior to intervention vs. proceeding immediately from baseline to intervention). An example of such is illustrated below and drawn using fxl.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Annotated MBD

Changing Criterion Design with Annotations

The changing criterion design is another popular approach for parametrically evaluating the effects of some independent variable (e.g., reinforcement schedule) on behavior. The figure below simulates the use of the design and features a baseline phase, individual phases depicting levels of an independent variable (e.g., Fixed Ratio [FR]24 vs FR36). In addition to features common in other designs, this figure features annotations that reflect the level of behavior necessary to produce access to the reinforcer (e.g., an underlying line below the observed data). This added layer, the scr_criterion_lines call, involves specifying a styled line (e.g., x1, x2, level) using named lists. The result of which is a series of annotations that correspond to each phase and can be styled in terms of line color (color), width (size), and other features (e.g., linetype [lty]).

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Annotated MBD

The figure below was generated using data featured in Lozy et al. (2020) and drawn using fxl.

The goals of this study were to compare outcomes and preferences from two different methods of teaching letter–sound correspondence and word recognition in preschool children. The figure illustrated below uses fxl to illustrate the results of concurrent chain procedures across each participant. This figure features multiple panels specific to participants (i.e., multiple rows and columns), dynamic phase change lines across participants, and facet/phase labels that indicate conditions varying across participants.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Lozy et al 2020

Silverman-Styled Dot Plots

The figure below is designed using data featured in Koffarnus et al. (2011) and furnished by the lead author of the study. The figure below was redrawn using fxl with the supplied data.

The goal of this study was to draw comparisons between three different structured work training programs that were designed to address substance use behavior. The plot styles used in this figure, originally popularized by Kenneth Silverman, are fully supported in fxl. Specifically, this type of figure communicates outcomes and/or behavior status using styled dots whereby each increment on the ordinate reflects a distinct individual (e.g., 5 vs. 6 on y-axis) and each on the abscissa a measure of behavior for each unit change in time (e.g., 3 vs. 4 on x-axis). This figure illustrates individual participant data, across groups, over the course of an experimental trial.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Koffarnus et al 2011

Multilevel Modeling of Fixed Effects in Single Case Designs

The figure below using data featured in Gelino et al. (2022). The fxl was used to generate the figures used in this publication.

The goal of this study was to evaluate outcomes from a policy initiative designed to curb cigarette smoking behavior on a large college campus. In addition to visualizing population-level estimates across multiple targeted sites, the fxl package was used to draw the fitted estimates from multilevel modeling in R atop the empirical data.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Gelino et al. (2022)

Celeration (Semi-logarithmic) Charts - Individualized

Celeration charts are not often observed outside of niche applications in behavior analysis. However, semi-logarithmic charts (i.e., partial elasticity) are quite common in many other domains (e.g., economics). Part of the challenge associated with the use of celeration charts is the handling of zero values, which is not easily remedied in traditional spreadsheet software.

The figure below illustrates a hypothetical example of group-wide progress monitoring using celeration charts (i.e., reading indicators). This is visualized using a combination of line annotations, phase change labels, and other features illustrating the logarithmic scaling.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Example Celeration Figure

Celeration (Semi-logarithmic) Charts - Multiple (Groups/Individuals)

Semi-logarithmic charts are useful for evaluating relative change over time and these are particularly suited to fluency-based interpretations over time. An example of this type of chart is displayed below with simulated changes in the rate of reading fluency across classrooms in a multiple baseline design. This chart leverages additional functionality from fxl; specifically, the celeration interpretation is presented within a multiple baseline display, with phase/facet labels, phase change lines, and a dynamic coding of individual data points (each a student) based on how their fluency ranks against known criteria.

The source code necessary to re-create the figure is provided below (data included in the package).

Code to Draw Figure

Example Celeration Figure

Referenced Works (F/OSS software)

The fxl package incorporates a number of open-source projects to work properly. Specifically, the core design and overall engine was modeled from Hadley Wickham’s ggplot. Attempts were made to accomplish the features in this package within ggplot proper; however, doing so was not straightforward and would have required deviating from low-level functionality built into ggplot.

The TeachingDemos package was referenced for code that translates coordinates from multiple view devices.

The specific software referenced is provided credit below:

Development

Want to contribute? Great! Emails or PR’s (adding useful/desired functionality) are welcome.

TODOs

License

fxl - Copyright 2021, Shawn P. Gilroy. GPL-Version 2+