Skip to main content

Partial Correlations

Removing Interaction Effects from Linear Data

  • Chapter
  • First Online:
  • 1682 Accesses

Abstract

The outcome of clinical research is, generally, affected by many more factors than a single one, and multiple regression assumes, that these factors act independently of one another, but why should they not affect one another. This chapter is to assess how partial correlation can be used to remove interaction effects from linear data.

Without the partial correlation approach the conclusion from studies might have been: no definitive conclusion about the effects of factors is possible, because of a significant interaction between such factors. The partial correlation analysis allows to conclude that multiple interacting factors have a significant linear relationship with a single outcome variable.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   99.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Box GEP, Jenkins GM, Reinsel GC (2008) Time series analysis, forecasting and control, 4th edn. Wiley, New York

    Google Scholar 

  • Brockwell P, Davis R (2009) Time series: theory and methods, 2nd edn. Springer, Heidelberg

    Google Scholar 

  • Cleophas TJ (2003) Sense and nonsense of regression modeling for increasing precision of clinical trials. Clin Pharmacol Ther 74:295–297

    Article  PubMed  Google Scholar 

  • Kazdin AE, French NH, Unis AS, Esveldt-Dawson K, Sherick RB (1983) Hopelessness, depression, and suicidal intent among psychiatrically disturbed inpatient children. J Cons Clin Psychol 51:504–510

    Article  CAS  Google Scholar 

  • Larsson B, Svardsudd K, Welin L, Wilhelmsen L, Bjorntorp P, Tibblin G (1984) Abdominal adipose tissue distribution, obesity, and risk of cardiovascular disease and death: 13 year follow up of participants in the study of men born in 1913. BMJ 288:1401–1409

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  • Mattick RP, Clarke JC (1998) Development and validation of measures of social phobia scrutiny fear and social interaction anxiety. Beh Res Ther 36:455–470

    Article  CAS  Google Scholar 

  • Paez JG, Jänne PA, Lee JC et al (2004) EGFR mutations in lung cancer: correlations with clinical response to gefitimib therapy. Science 304:1497–1482

    Article  CAS  PubMed  Google Scholar 

  • Waliczek TM (1996) A primer on partial correlation coefficients. Governmental Editions, Washington, DC, p ED393882

    Google Scholar 

  • Willett W, Stampfer MJ (1986) Total energy intake: implications for epidemiological analyses. Am J Epidemiol 124:17–22

    Article  CAS  PubMed  Google Scholar 

  • Yule GU (1897) On the theory of correlation. J Roy Statist Soc 60:812–854

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Cleophas, T.J., Zwinderman, A.H. (2018). Partial Correlations. In: Regression Analysis in Medical Research. Springer, Cham. https://doi.org/10.1007/978-3-319-71937-5_24

Download citation

Publish with us

Policies and ethics