Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

A Meta-analysis Approach for Estimating Salary Mean and Its Confidence Interval

  • Conference paper
  • First Online:
Computational Science and Its Applications – ICCSA 2022 Workshops (ICCSA 2022)

Abstract

A meta-analysis is the statistical pooling of the summary statistics from several selected studies to estimate the outcome of interest. A job’s salary estimate is important information for both job applicants and companies, that is reported on different websites. By combining data from different sources a mean estimate more representative of the target population can be obtained, especially when the data has high variability and dependence on different factors, as in the salary case. However, data are not reported in each source by the same statistics values. Sometimes, the data are summarized by reporting the sample median and one or both of (i) the minimum and maximum values and (ii) the first and third quartiles. Additionally, the sample size is not always reported. In this paper, we aim to provide a step-by-step process to estimate the salary mean and its confidence interval by combining the data from different sources. We illustrate the process with an example dataset of seven job titles. The performance of two different alternatives to estimate the sample mean is evaluated, and the variation in the outcomes between websites is discussed. A high range of other quantitative data could benefit from the proposed process to obtain an estimate representative of the target population.

This article is a result of the project BEIS (Bridge Engineering Information System), supported by Operational Programme for Competitiveness and Internationalisation (COMPETE 2020), under the PORTUGAL 2020 Partnership Agreement, through the European Regional Development Fund (ERDF).

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
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

Institutional subscriptions

Similar content being viewed by others

References

  1. Altinay, G.: A simple class of measures of skewness (2016)

    Google Scholar 

  2. Bland, M.: Estimating mean and standard deviation from the sample size, three quartiles, minimum, and maximum. Int. J. Stat. Med. Res. 4(1), 57–64 (2015)

    Article  Google Scholar 

  3. Deeks, J.J., Higgins, J.P., Altman, D.G., Group, C.S.M.: Analysing data and undertaking meta-analyses. Cochrane handbook for systematic reviews of interventions, pp. 241–284 (2019)

    Google Scholar 

  4. DerSimonian, R., Kacker, R.: Random-effects model for meta-analysis of clinical trials: an update. Contemp. Clin. Trials 28(2), 105–114 (2007)

    Article  Google Scholar 

  5. Hedges, L.V., Vevea, J.L.: Fixed-and random-effects models in meta-analysis. Psychol. Methods 3(4), 486 (1998)

    Article  Google Scholar 

  6. Higgins, J.P., Thompson, S.G., Deeks, J.J., Altman, D.G.: Measuring inconsistency in meta-analyses. Bmj 327(7414), 557–560 (2003)

    Google Scholar 

  7. Hozo, S.P., Djulbegovic, B., Hozo, I.: Estimating the mean and variance from the median, range, and the size of a sample. BMC Med. Res. Methodol. 5(1), 1–10 (2005)

    Article  Google Scholar 

  8. Huedo-Medina, T.B., Sánchez-Meca, J., Marin-Martinez, F., Botella, J.: Assessing heterogeneity in meta-analysis: Q statistic or i\(^2\) index? Psychol. Methods 11(2), 193 (2006)

    Article  Google Scholar 

  9. Luo, D., Wan, X., Liu, J., Tong, T.: Optimally estimating the sample mean from the sample size, median, mid-range, and/or mid-quartile range. Stat. Methods Med. Res. 27(6), 1785–1805 (2018)

    Article  MathSciNet  Google Scholar 

  10. Mahmoudi, M.R., Nasirzadeh, R., Baleanu, D., Pho, K.H.: The properties of a decile-based statistic to measure symmetry and asymmetry. Symmetry 12(2), 296 (2020)

    Article  Google Scholar 

  11. McGrath, S., Zhao, X., Qin, Z.Z., Steele, R., Benedetti, A.: One-sample aggregate data meta-analysis of medians. Stat. Med. 38(6), 969–984 (2019)

    Article  MathSciNet  Google Scholar 

  12. McGrath, S., Zhao, X., Steele, R., Thombs, B.D., Benedetti, A., Collaboration, D.S.D.D.: Estimating the sample mean and standard deviation from commonly reported quantiles in meta-analysis. Stat. Methods Med. Res. 29(9), 2520–2537 (2020)

    Article  MathSciNet  Google Scholar 

  13. McKinney, W., et al.: Data structures for statistical computing in python. In: Proceedings of the 9th Python in Science Conference, vol. 445, pp. 51–56. Austin, TX (2010)

    Google Scholar 

  14. Tanwar, K., Kumar, A.: Employer brand, person-organisation fit and employer of choice: Investigating the moderating effect of social media. Personnel Review (2019)

    Google Scholar 

  15. Van Der Walt, S., Colbert, S.C., Varoquaux, G.: The numpy array: a structure for efficient numerical computation. Comput. Sci. Eng. 13(2), 22–30 (2011)

    Article  Google Scholar 

  16. Vetter, T.R.: Systematic review and meta-analysis: sometimes bigger is indeed better. Anesthesia Analgesia 128(3), 575–583 (2019)

    Article  MathSciNet  Google Scholar 

  17. Virtanen, P., et al.: Scipy 1.0: fundamental algorithms for scientific computing in python. Nature Methods 17(3), 261–272 (2020)

    Google Scholar 

  18. Wan, X., Wang, W., Liu, J., Tong, T.: Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile range. BMC Med. Res. Methodol. 14(1), 1–13 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Flora Ferreira .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ferreira, F. et al. (2022). A Meta-analysis Approach for Estimating Salary Mean and Its Confidence Interval. In: Gervasi, O., Murgante, B., Misra, S., Rocha, A.M.A.C., Garau, C. (eds) Computational Science and Its Applications – ICCSA 2022 Workshops. ICCSA 2022. Lecture Notes in Computer Science, vol 13377. Springer, Cham. https://doi.org/10.1007/978-3-031-10536-4_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-10536-4_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-10535-7

  • Online ISBN: 978-3-031-10536-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics