IDEAS home Printed from https://ideas.repec.org/a/bla/biomet/v75y2019i1p337-346.html
   My bibliography  Save this article

Multi‐study factor analysis

Author

Listed:
  • Roberta De Vito
  • Ruggero Bellio
  • Lorenzo Trippa
  • Giovanni Parmigiani

Abstract

We introduce a novel class of factor analysis methodologies for the joint analysis of multiple studies. The goal is to separately identify and estimate (1) common factors shared across multiple studies, and (2) study‐specific factors. We develop an Expectation Conditional‐Maximization algorithm for parameter estimates and we provide a procedure for choosing the numbers of common and specific factors. We present simulations for evaluating the performance of the method and we illustrate it by applying it to gene expression data in ovarian cancer. In both, we clarify the benefits of a joint analysis compared to the standard factor analysis. We have provided a tool to accelerate the pace at which we can combine unsupervised analysis across multiple studies, and understand the cross‐study reproducibility of signal in multivariate data. An R package (MSFA), is implemented and is available on GitHub.

Suggested Citation

  • Roberta De Vito & Ruggero Bellio & Lorenzo Trippa & Giovanni Parmigiani, 2019. "Multi‐study factor analysis," Biometrics, The International Biometric Society, vol. 75(1), pages 337-346, March.
  • Handle: RePEc:bla:biomet:v:75:y:2019:i:1:p:337-346
    DOI: 10.1111/biom.12974
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/biom.12974
    Download Restriction: no

    File URL: https://libkey.io/10.1111/biom.12974?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. Jiahua Chen & Zehua Chen, 2008. "Extended Bayesian information criteria for model selection with large model spaces," Biometrika, Biometrika Trust, vol. 95(3), pages 759-771.
    2. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
    3. Geweke, John & Zhou, Guofu, 1996. "Measuring the Pricing Error of the Arbitrage Pricing Theory," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 557-587.
    4. William Meredith, 1993. "Measurement invariance, factor analysis and factorial invariance," Psychometrika, Springer;The Psychometric Society, vol. 58(4), pages 525-543, December.
    5. A. Bhattacharya & D. B. Dunson, 2011. "Sparse Bayesian infinite factor models," Biometrika, Biometrika Trust, vol. 98(2), pages 291-306.
    6. P. Robert & Y. Escoufier, 1976. "A Unifying Tool for Linear Multivariate Statistical Methods: The RV‐Coefficient," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 25(3), pages 257-265, November.
    7. Cope, Leslie & Naiman, Daniel Q. & Parmigiani, Giovanni, 2014. "Integrative correlation: Properties and relation to canonical correlations," Journal of Multivariate Analysis, Elsevier, vol. 123(C), pages 270-280.
    8. John Horn, 1965. "A rationale and test for the number of factors in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 30(2), pages 179-185, June.
    9. Xin Victoria Wang & Roel G W Verhaak & Elizabeth Purdom & Paul T Spellman & Terence P Speed, 2011. "Unifying Gene Expression Measures from Multiple Platforms Using Factor Analysis," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-14, March.
    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. Veronika Ročková & Edward I. George, 2016. "Fast Bayesian Factor Analysis via Automatic Rotations to Sparsity," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(516), pages 1608-1622, October.
    2. Kaufmann, Sylvia & Schumacher, Christian, 2019. "Bayesian estimation of sparse dynamic factor models with order-independent and ex-post mode identification," Journal of Econometrics, Elsevier, vol. 210(1), pages 116-134.
    3. Dimitris Korobilis & Kenichi Shimizu, 2022. "Bayesian Approaches to Shrinkage and Sparse Estimation," Foundations and Trends(R) in Econometrics, now publishers, vol. 11(4), pages 230-354, June.
    4. Aboagye, Michael Osei & Qin, Jinliang & Qayyum, Abdul & Antwi, Collins Opoku & Jababu, Yasin & Affum-Osei, Emmanuel, 2018. "Teacher burnout in pre-schools: A cross-cultural factorial validity, measurement invariance and latent mean comparison of the Maslach Burnout Inventory, Educators Survey (MBI-ES)," Children and Youth Services Review, Elsevier, vol. 94(C), pages 186-197.
    5. Matkovskyy, Roman & Bouraoui, Taoufik & Hammami, Helmi, 2016. "Analysing the financial strength of Tunisia: An approach to estimate an index of financial safety," Research in International Business and Finance, Elsevier, vol. 38(C), pages 485-493.
    6. Conti, Gabriella & Frühwirth-Schnatter, Sylvia & Heckman, James J. & Piatek, Rémi, 2014. "Bayesian exploratory factor analysis," Journal of Econometrics, Elsevier, vol. 183(1), pages 31-57.
    7. Hauck, Jana & Suess-Reyes, Julia & Beck, Susanne & Prügl, Reinhard & Frank, Hermann, 2016. "Measuring socioemotional wealth in family-owned and -managed firms: A validation and short form of the FIBER Scale," Journal of Family Business Strategy, Elsevier, vol. 7(3), pages 133-148.
    8. Francisco J. Conejo & Lawrence F. Cunningham & Clifford E. Young, 2020. "Revisiting the Brand Luxury Index: new empirical evidence and future directions," Journal of Brand Management, Palgrave Macmillan, vol. 27(1), pages 108-122, January.
    9. Carlos Miguel Lemos & Ross Joseph Gore & Ivan Puga-Gonzalez & F LeRon Shults, 2019. "Dimensionality and factorial invariance of religiosity among Christians and the religiously unaffiliated: A cross-cultural analysis based on the International Social Survey Programme," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-36, May.
    10. Paul M. Johnson & Corey E. Brady & Craig Philip & Hiba Baroud & Janey V. Camp & Mark Abkowitz, 2020. "A Factor Analysis Approach Toward Reconciling Community Vulnerability and Resilience Indices for Natural Hazards," Risk Analysis, John Wiley & Sons, vol. 40(9), pages 1795-1810, September.
    11. Rachid Laaja & Karen Macours, 2021. "Measuring Skills in Developing Countries," Journal of Human Resources, University of Wisconsin Press, vol. 56(4), pages 1254-1295.
    12. Simon Beyeler & Sylvia Kaufmann, 2021. "Reduced‐form factor augmented VAR—Exploiting sparsity to include meaningful factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(7), pages 989-1012, November.
    13. Valeria Donisi & Federico Tedeschi & Juan Luis Gonzalez-Caballero & Johanna Cresswell-Smith & Elvira Lara & Marta Miret & Anna K. Forsman & Kristian Wahlbeck & Francesco Amaddeo & Jorid Kalseth, 2021. "Is Mental Well-Being in the Oldest Old Different from That in Younger Age Groups? Exploring the Mental Well-Being of the Oldest-Old Population in Europe," Journal of Happiness Studies, Springer, vol. 22(4), pages 1693-1717, April.
    14. Philip A. White & Alan E. Gelfand, 2021. "Multivariate functional data modeling with time-varying clustering," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(3), pages 586-602, September.
    15. Crespo Cuaresma, Jesús & Huber, Florian & Onorante, Luca, 2020. "Fragility and the effect of international uncertainty shocks," Journal of International Money and Finance, Elsevier, vol. 108(C).
    16. Anne Hilger & Christophe Jalil Nordman & Leopold R. Sarr, 2018. "Cognitive and non-cognitive skills, hiring channels, and wages in Bangladesh," Working Papers DT/2018/11, DIAL (Développement, Institutions et Mondialisation).
    17. Bhaskar Mukherjee & Siniša Subotić & Ajay Kumar Chaubey, 2018. "And now for something completely different: the congruence of the Altmetric Attention Score’s structure between different article groups," Scientometrics, Springer;Akadémiai Kiadó, vol. 114(1), pages 253-275, January.
    18. Sylvia Frühwirth-Schnatter & Darjus Hosszejni & Hedibert Freitas Lopes, 2023. "When It Counts—Econometric Identification of the Basic Factor Model Based on GLT Structures," Econometrics, MDPI, vol. 11(4), pages 1-30, November.
    19. Elena Geminiani & Giampiero Marra & Irini Moustaki, 2021. "Single- and Multiple-Group Penalized Factor Analysis: A Trust-Region Algorithm Approach with Integrated Automatic Multiple Tuning Parameter Selection," Psychometrika, Springer;The Psychometric Society, vol. 86(1), pages 65-95, March.
    20. Jeanne A. Teresi & Katja Ocepek-Welikson & John A. Toner & Marjorie Kleinman & Mildred Ramirez & Joseph P. Eimicke & Barry J. Gurland & Albert Siu, 2017. "Methodological Issues in Measuring Subjective Well-Being and Quality-of-Life: Applications to Assessment of Affect in Older, Chronically and Cognitively Impaired, Ethnically Diverse Groups Using the F," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 12(2), pages 251-288, June.

    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:biomet:v:75:y:2019:i:1:p:337-346. 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: http://www.blackwellpublishing.com/journal.asp?ref=0006-341X .

    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.