Abstract
Much of the special education literature features single-case experimental designs, which traditionally require researchers to determine functional relations among variables through the visual analyses of line graphs. Evidence suggests factors aside from the data influence visual analysis, including line graph construction. Fields including engineering, behavior analysis, and psychology have historically propagated standards related to the visual data displays to mitigate the effect of arbitrary graph construction on the interpretation of results. Although evidence suggests graphs featured in behavior analytic studies do not observe the standards, the extent to which researchers in special education adhere to longstanding graphing guidelines remains uncertain. The following article provides an overview of graphing standards and examines the adherence of line graphs from 532 issues of 28 distinct special education journals to traditional standards of visual display. Results indicated the majority of special education line graphs deviate from established line graph construction standards in important respects. The discussion centers on the need for updating and disseminating guidelines regarding line graph construction.



Similar content being viewed by others
References
American National Standards Committee Y15 [ANSC Y15.2]. (1979). American Standard Time-Series Charts (ASA Y15.2M-1979). American Society of Mechanical Engineers.
American National Standards Institute & American Society of Mechanical Engineers. (1960). Time-series charts. ASME.
American Psychological Association. (2020). Publication manual of the American Psychological Association (7th ed.). Author.
American Society of Mechanical Engineers. (1960). American Standard Time-Series Charts (ASA Y15.2).
Blair, E., & Blair, J. (2015). Setting sample size. In Applied survey sampling (pp. 91–112). Sage. https://doi.org/10.4135/978148339402
Brinton, W. C. (1914). Graphic methods for presenting facts. Engineering Magazine Company.
Cleveland, W. S. (1994). The elements of graphing data. Hobart Press.
Cleveland, W. S., McGill, M. E., & McGill, R. (1988). The shape parameter of a two-variable graph. Journal of the American Statistical Association, 83(402), 289–300. https://doi.org/10.2307/2288843
Cochran, W. G. (1977). Sampling techniques (3rd ed.). John Wiley & Sons.
Committee on Standards for Graphic Presentation. (1938). Time series charts: A manual of design and construction. American Society of Mechanical Engineers.
Cook, B. G., Tankersley, M., Cook, L., & Landrum, T. J. (2015). Republication of “Evidence based practices in special education: Some practical considerations”. Intervention in School & Clinic, 50, 310–315. https://doi.org/10.1177/1053451214532071
Cooper, J. O., Heron, T. E., & Heward, W. L. (2020). Applied behavior analysis (3rd ed.). Pearson Education.
Daniel, W. W., & Cross, C. L. (2018). Biostatistics: A foundation for analysis in the health sciences (11th ed.). John Wiley & Sons.
Danziger, K. (1985). The methodological imperative in psychology. Philosophy of the Social Sciences, 15(1), 1–13.
Dart, E. H., & Radley, K. C. (2017). The impact of ordinate scaling on the visual analysis of single-case data. Journal of School Psychology, 63, 105–118. https://doi.org/10.1016/j.jsp.2017.03.008
Dart, E. H., & Radley, K. C. (2018). Toward a standard assembly of linear graphs. School Psychology Quarterly, 33, 350–355. https://doi.org/10.1037/spq0000269
Datchuk, S. M., & Kubina Jr., R. M. (2011). Communicating experimental findings in single case design research: How to use celeration values and celeration multipliers to measure direction, magnitude, and change of slope. Journal of Precision Teaching & Celeration, 27, 3–17.
Dupps, W. J., Kohnen, T., Mamalis, N., Rosen, E. S., Koch, D. D., Obstbaum, S. A., Waring, G. O., Reinstein, D. Z., & Stulting, R. D. (2011). Standardized graphs and terms for refractive surgery results. Journal of Cataract & Refractive Surgery, 37, 1–3. https://doi.org/10.1016/j.jcrs.2010.11.010
Few, S. (2009). Now you see it: Simple visualization techniques for quantitative analysis. Analytics Press.
Groves, R. M., Fowler Jr., F. J., Couper, M. P., Lepkowski, J. M., Singer, E., & Tourangeau, R. (2009). Survey methodology (2nd ed.). John Wiley & Sons.
Harris, R. L. (1999). Information graphics: a comprehensive illustrated reference. Oxford University Press.
Heer, J., Kong, N., & Agrawala, M. (2009). Sizing the horizon: The effects of chart size and layering on the graphical perception of time series visualizations. Proceedings of the SIGCHI Conference on Human Factors in Computing Systems, 1303–1312. https://doi.org/10.1145/1518701.1518897
Horner, R., & Spaulding, S. (2010). Single-case research designs. In N. J. Salkind (Ed.), Encyclopedia of Research Design (pp. 1386–1394). Sage.
Horner, R. H., Carr, E. G., Halle, J., McGee, G., Odom, S., & Wolery, M. (2005). The use of single-subject research to identify evidence-based practice in special education. Exceptional Children, 71, 165–179. https://doi.org/10.1177/001440290507100203
Individuals with Disabilities Education Act (2004) 20 U.S.C. § 1400.
Johnston, J. M., Pennypacker, H. S., & Green, G. (2020). Strategies and tactics of behavioral research and practice (4th ed.). Routledge.
Joint Committee on Standards for Graphic Presentation. (1915). Preliminary report published for the purpose of inviting suggestions for the benefit of the committee. Publications of the American Statistical Association, 14(112), 790–797. https://doi.org/10.2307/2965153
Jung, P. G., McMaster, K. L., Kunkel, A. K., Shin, J., & Stecker, P. M. (2018). Effects of data-based individualization for students with intensive learning needs: A meta-analysis. Learning Disabilities Research & Practice, 33(3), 144–155. https://doi.org/10.1111/ldrp.12172
Karsten, K. G. (1923). Charts and graphs: An introduction to graphic methods in the control and analysis of statistics. Prentice Hall.
Kazdin, A. E. (2011). Single-case research designs: Methods for clinical and applied settings (2nd ed.). Oxford University Press.
King, S. A., Davidson, K., Chitiyo, A., & Apple, D. (2018). Evaluating Article Search and Selection Procedures in Special Education Literature Reviews. Remedial and Special Education. Advance online publication available at:. https://doi.org/10.1177/0741932518813142.
Kinney, C. E., Begeny, J. C., Stage, S. A., Patterson, S., & Johnson, A. (2020). Three alternatives for graphing behavioral data: A comparison of usability and acceptability. Behavior Modification. https://doi.org/10.1177/0145445520946321
Kostewicz, D. E., King, S. A., Datchuk, S. M., Brennan, K. A., & Casey, S. D. (2016). Data collection and measurement assessment in behavioral research: 1958-2013. Behavior Analysis: Research & Practice, 16, 19–33. https://doi.org/10.1037/bar0000031
Kratochwill, T. R., Hitchcock, J., Horner, R. H., Levin, J. R., Odom, S. L., Rindskopf, D. M., & Shadish, W. R. (2013). Single-case intervention research design standards. Remedial and Special Education, 34, 26–38. https://doi.org/10.1177/0741932512452794.
Kubina, R. M., Kostewicz, D. E., & Datchuk, S. M. (2010). Graph and table use in special education: A review and analysis of the communication of data. Evaluation & Research in Education, 23, 105–119. https://doi.org/10.1080/09500791003734688
Kubina, R. M., Kostewicz, D. E., Brennan, K. M., & King, S. A. (2017). A critical review of line graphs in behavior analytic journals. Educational Psychology Review, 29, 583–598. https://doi.org/10.1007/s10648-015-9339-x
Lanovaz, M. J., & Rapp, J. T. (2016). Using single-case experiments to support evidence-based decisions: How much is enough? Behavior Modification, 40, 377–395. https://doi.org/10.1177/0145445515613584
Lanovaz, M. J., Turgeon, S., Cardinal, P., & Wheatley, T. L. (2019). Using single-case designs in practical settings: Is within-subject replication always necessary? Perspectives on Behavior Science, 42, 153–162. https://doi.org/10.1007/s40614-018-0138-9
Ledford, J. R., & Gast, D. L. (2018). Single case research methodology: Applications in special education and behavioral sciences (3rd ed.). Routledge.
Ledford, J. R., & Wolery, M. (2013). Procedural fidelity: An analysis of measurement and reporting practices. Journal of Early Intervention, 35, 173–193. https://doi.org/10.1177/1053815113515908
Ledford, J. R., Barton, E. E., Severini, K. E., Zimmerman, K. N., & Pokorski, E. A. (2019). Visual display of graphic data in single case design studies: Systematic review and expert preference analysis. Education & Training in Autism & Developmental Disabilities, 54(4), 315–327 https://eric.ed.gov/?id=EJ1234581.
Manolov, R., Losada, J. L., Chacón-Moscoso, S., & Sanduvete-Chaves, S. (2016). Analyzing two-phase single-case data with non-overlap and mean difference indices: Illustration, software tools, and alternatives. Frontiers in Psychology, 7, Article 32. https://doi.org/10.3389/fpsyg.2016.00032
Nelson, P. M., Van Normand, E. R., & Christ, T. J. (2016). Visual analysis among novices: Training and trend lines as graphic aids. Contemporary School Psychology, 21, 93–102. https://doi.org/10.1007/s40688-016-0107-9
Ninci, J., Vannest, K. J., Wilson, V., & Zhang, N. (2015). Interrater agreement between visual analysts of single-case data: A meta-analysis. Behavior Modification, 39, 510–541. https://doi.org/10.1177/0145445515581327
Nosek, B. (2019, June 11). Strategy for culture change. Center for Open Science. https://cos.io/blog/strategy-culture-change/
Parsonson, B., & Baer, D. (1978). The analysis and presentation of graphic data. In T. Kratochwill (Ed.), Single subject research (pp. 101–166). Academic Press.
Peltier, C., McKenna, J. W., Sinclair, T. E., Garwood, J., & Vannest, K. J. (2021a). Brief report: Ordinate scaling and axis proportions of single-case graphs in two prominent EBD journals from 2010 to 2019. Behavioral Disorders. https://doi.org/10.1177/0198742920982587
Peltier, C., Morano, S., Shin, M., Stevenson, N., & McKenna, J. W. (2021). A Decade Review of Single-Case Graph Construction in the Field of Learning Disabilities. Learning Disabilities Research & Practice, 36, 121–135. https://doi.org/10.1111/ldrp.12245.
Poling, A. D., Methot, L. L., & LeSage, M. G. (1995). Fundamentals of behavior analytic research. Plenum Press.
Radley, K. C., Dart, E. H., & Wright, S. J. (2018). The effect of data points per x- to y-axis ratio on visual analysts’ evaluation of single-case graphs. School Psychology Quarterly, 33(2), 314–322. https://doi.org/10.1037/spq0000243
Riley-Tillman, T., & Burns, M. K. (2009). Evaluating educational interventions: Single-case design for measuring response to intervention. Guilford Press.
Robbins, N. B. (2005). Creating more effective graphs. John Wiley & Sons.
Romanczyk, R. G., Callahan, E. H., Turner, L. B., & Cavalari, R. N. S. (2014). Efficacy of behavioral interventions for young children with autism spectrum disorders: Public policy, the evidence base, and implementation parameters. Review Journal of Autism & Developmental Disorders, 1, 276–326. https://doi.org/10.1007/s40489-014-0025-6
Sectional Committee on Standards for Graphic Presentation. (1936). Code of preferred practice for graphic presentation: Time series charts. American Society of Mechanical Engineers.
Shadish, W. R., Hedges, L. V., Horner, R. H., & Odom, S. L. (2015). The role of between-case effect size in conducting, interpreting, and summarizing single-case research. (NCER 2015-002) National Center for Education Research, Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncser/pubs/2015002/pdf/2015002.pdf. Accessed December 2015
Sidman, M. (1960). Tactics of scientific research: Evaluating experimental data in psychology. Basic Books.
Sigal, M. J., & Pettit, M. (2012). Information overload, professionalization, and the origins of the publication manual of the American Psychological Association. Review of General Psychology, 16(4), 357–363.
Spriggs, A. D., Lane, J. D., & Gast, D. L. (2018). Visual representation of data. In J. R. Ledford & D. L. Gast (Eds.), Single case research methodology: Applications in special education and behavioral sciences (pp. 157–178). Routledge.
Tanious, R., Manolov, R., & Onghena, P. (2021). The Assessment of Consistency in Single-Case Experiments: Beyond A-B-A-B Designs. Behavior Modification, 45(4), 560-580. https://doi.org/10.1177/0145445519882889
Waltman, L. (2016). A review of the literature on citation impact indicators. Journal of Informetrics, 10, 365–391. https://doi.org/10.1016/j.joi.2016.02.007
Wang, Q., & Waltman, L. (2016). Large-scale analysis of the accuracy of the journal classification systems of Web of Science and Scopus. Journal of Informetrics, 10, 347–364. https://doi.org/10.1016/j.joi.2016.02.003
Web of Science. (2014). 2013 journal citation reports® social sciences edition. Thompson Reuters. https://www.jcr-incites-thomsonreuters-com.
Wendel, E., Cawthon, S. W., Ge, J. J., & Beretvas, S. N. (2015). Alignment of single-case design (SCD) research with individuals who are deaf or hard of hearing with the What Works Clearinghouse Standards for SCD research. Journal of Deaf Studies & Deaf Education, 20(2), 103–114. https://doi.org/10.1093/deafed/enu049
What Works Clearinghouse. (2020). What Works Clearinghouse standards handbook (Vers. 4.1). U.S. Department of Education, Institute of Education Sciences, National Center for Education Evaluation and Regional Assistance. https://ies.ed.gov/ncee/wwc/Docs/referenceresources/WWC-Standards-Handbook-v4-1-508.pdf. Accessed October 2020
Wolery, M., Busick, M., Reichow, B., & Barton, E. E. (2010). Comparison of overlap methods for quantitatively synthesizing single-subject data. Journal of Special Education, 44, 18–28. https://doi.org/10.1177/0022466908328009
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflicts of interest
All authors declare that they have no Conflicts of interest.
Human participants or animals rights
The present study did not involve human participants or animals.
Informed consent
Due to the absence of participants, the research did not require informed consent.
Rights and permissions
About this article
Cite this article
Kubina, R.M., Kostewicz, D.E., King, S.A. et al. Standards of Graph Construction in Special Education Research: A Review of their Use and Relevance. Educ. Treat. Child. 44, 275–290 (2021). https://doi.org/10.1007/s43494-021-00053-3
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s43494-021-00053-3

