IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v70y2021i1p98-121.html
   My bibliography  Save this article

Quantifying the trendiness of trends

Author

Listed:
  • Andreas Kryger Jensen
  • Claus Thorn Ekstrøm

Abstract

News media often report that the trend of some public health outcome has changed. These statements are frequently based on longitudinal data, and the change in trend is typically found to have occurred at the most recent data collection time point—if no change had occurred the story is less likely to be reported. Such claims may potentially influence public health decisions on a national level. We propose two measures for quantifying the trendiness of trends. Assuming that reality evolves in continuous time, we define what constitutes a trend and a change in trend, and introduce a probabilistic Trend Direction Index. This index has the interpretation of the probability that a latent characteristic has changed monotonicity at any given time conditional on observed data. We also define an index of Expected Trend Instability quantifying the expected number of changes in trend on an interval. Using a latent Gaussian process model, we show how the Trend Direction Index and the Expected Trend Instability can be estimated in a Bayesian framework, and use the methods to analyse the proportion of smokers in Denmark during the last 20 years and the development of new COVID‐19 cases in Italy from 24 February onwards.

Suggested Citation

  • Andreas Kryger Jensen & Claus Thorn Ekstrøm, 2021. "Quantifying the trendiness of trends," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(1), pages 98-121, January.
  • Handle: RePEc:bla:jorssc:v:70:y:2021:i:1:p:98-121
    DOI: 10.1111/rssc.12451
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/rssc.12451
    Download Restriction: no

    File URL: https://libkey.io/10.1111/rssc.12451?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Carpenter, Bob & Gelman, Andrew & Hoffman, Matthew D. & Lee, Daniel & Goodrich, Ben & Betancourt, Michael & Brubaker, Marcus & Guo, Jiqiang & Li, Peter & Riddell, Allen, 2017. "Stan: A Probabilistic Programming Language," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i01).
    2. Daniel R. Kowal & David S. Matteson & David Ruppert, 2019. "Dynamic shrinkage processes," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 81(4), pages 781-804, September.
    3. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    4. Gottlieb, Andrea & Müller, Hans-Georg, 2012. "A stickiness coefficient for longitudinal data," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4000-4010.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anindya Bhadra & Jyotishka Datta & Yunfan Li & Nicholas Polson, 2020. "Horseshoe Regularisation for Machine Learning in Complex and Deep Models," International Statistical Review, International Statistical Institute, vol. 88(2), pages 302-320, August.
    2. Bissoondeeal, Rakesh K. & Karoglou, Michail & Binner, Jane M., 2019. "Structural changes and the role of monetary aggregates in the UK," Journal of Financial Stability, Elsevier, vol. 42(C), pages 100-107.
    3. Akbar Ullah & Ejaz Ghani & Attiya Y. Javed, 2013. "Market Power and Industrial Performance in Pakistan," PIDE-Working Papers 2013:88, Pakistan Institute of Development Economics.
    4. C. Vladimir Rodr'iguez-Caballero & Esther Ruiz, 2024. "Temperature in the Iberian Peninsula: Trend, seasonality, and heterogeneity," Papers 2406.14145, arXiv.org.
    5. Lubos Hanus & Lukas Vacha, 2015. "Business cycle synchronization of the Visegrad Four and the European Union," Working Papers IES 2015/19, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised Jul 2015.
    6. Kabundi, Alain & Poon, Aubrey & Wu, Ping, 2023. "A time-varying Phillips curve with global factors: Are global factors important?," Economic Modelling, Elsevier, vol. 126(C).
    7. Carl P. Schmertmann & Marcos R. Gonzaga, 2018. "Bayesian Estimation of Age-Specific Mortality and Life Expectancy for Small Areas With Defective Vital Records," Demography, Springer;Population Association of America (PAA), vol. 55(4), pages 1363-1388, August.
    8. Florian Eckert & Nina Mühlebach, 2021. "Global and Local Components of Output Gaps," KOF Working papers 21-497, KOF Swiss Economic Institute, ETH Zurich.
    9. Thomas Baudin & Robert Stelter, 2022. "The rural exodus and the rise of Europe," Journal of Economic Growth, Springer, vol. 27(3), pages 365-414, September.
    10. Kožić, Ivan & Sever, Ivan, 2014. "Measuring business cycles: Empirical Mode Decomposition of economic time series," Economics Letters, Elsevier, vol. 123(3), pages 287-290.
    11. Peter Phillips, 2010. "Two New Zealand pioneer econometricians," New Zealand Economic Papers, Taylor & Francis Journals, vol. 44(1), pages 1-26.
    12. Perron, Pierre & Wada, Tatsuma, 2016. "Measuring business cycles with structural breaks and outliers: Applications to international data," Research in Economics, Elsevier, vol. 70(2), pages 281-303.
    13. Matsumura, Marco & Moreira, Ajax & Vicente, José, 2011. "Forecasting the yield curve with linear factor models," International Review of Financial Analysis, Elsevier, vol. 20(5), pages 237-243.
    14. Konon, Alexander & Fritsch, Michael & Kritikos, Alexander S., 2018. "Business cycles and start-ups across industries: An empirical analysis of German regions," Journal of Business Venturing, Elsevier, vol. 33(6), pages 742-761.
    15. Jose Pina-Sánchez & John Paul Gosling, 2020. "Tackling selection bias in sentencing data analysis: a new approach based on a scale of severity," Quality & Quantity: International Journal of Methodology, Springer, vol. 54(3), pages 1047-1073, June.
    16. Vitek, Francis, 2006. "Measuring the Stance of Monetary Policy in a Small Open Economy: A Dynamic Stochastic General Equilibrium Approach," MPRA Paper 802, University Library of Munich, Germany.
    17. Alogoskoufis, George, 2021. "Historical cycles of the economy of modern Greece from 1821 to the present," LSE Research Online Documents on Economics 109848, London School of Economics and Political Science, LSE Library.
    18. Herwartz, H. & Xu, F., 2010. "A functional coefficient model view of the Feldstein-Horioka puzzle," Journal of International Money and Finance, Elsevier, vol. 29(1), pages 37-54, February.
    19. Narayan, Paresh Kumar & Liu, Ruipeng, 2015. "A unit root model for trending time-series energy variables," Energy Economics, Elsevier, vol. 50(C), pages 391-402.
    20. Prabheesh, K.P. & Prakash, Branesh & Vuniivi, Viliame, 2023. "Assessment of Fiji’s exchange rate," Economic Analysis and Policy, Elsevier, vol. 78(C), pages 1282-1305.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jorssc:v:70:y:2021:i:1:p:98-121. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.