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'''Bruno D. Zumbo''' is a Canadian mathematical scientist trained in the tradition of research that combines pure and applied mathematics with statistical and algorithmic techniques to develop theory and solve problems arising in measurement, testing, and surveys in the social, behavioral, and health sciences. He is currently Professor and Distinguished University Scholar, the [[Canada Research Chair]] in [https://www.chairs-chaires.gc.ca/chairholders-titulaires/profile-eng.aspx?profileId=4947 Psychometrics and Measurement (Tier 1)], and the Paragon UBC Professor of Psychometrics & Measurement<ref name=":0">{{cite web |title=Bruno Zumbo |url=http://ecps.educ.ubc.ca/person/bruno-zumbo/ |accessdate=March 6, 2017 |publisher=ubc.ca}}</ref> at [[University of British Columbia]].
'''Bruno D. Zumbo''' is a Canadian mathematical scientist trained in the tradition of research that combines pure and applied mathematics with statistical and algorithmic techniques to develop theory and solve problems arising in measurement, testing, and surveys in the social, behavioral, and health sciences. He is currently Professor and Distinguished University Scholar, the [[Canada Research Chair]] in [https://www.chairs-chaires.gc.ca/chairholders-titulaires/profile-eng.aspx?profileId=4947 Psychometrics and Measurement (Tier 1)], and the Paragon UBC Professor of Psychometrics & Measurement<ref name=":0">{{cite web |title=Bruno Zumbo |url=http://ecps.educ.ubc.ca/person/bruno-zumbo/ |accessdate=March 6, 2017 |publisher=ubc.ca}}</ref> at [[University of British Columbia]].


His research in the mathematical sciences reflects a wide range of research in mathematics and statistics aimed at developing and exploring the properties and applications of mathematical structures of measurement, survey design, testing, and assessment.
His research in the mathematical sciences reflects a wide range of research in mathematics and statistics aimed at developing and exploring the properties and applications of mathematical structures of measurement, survey design, testing, and assessment.
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==Research==
==Research==
A series of collaborations by Bruno Zumbo, Donald Zimmerman, and Ed Kroc have articulated what Zumbo has termed "measure-theoretic psychometric and measurement theory".<ref>{{Cite web|url=https://psycnet.apa.org/record/1976-03576-001|title=APA PsycNet|website=psycnet.apa.org}}</ref><ref name="Zumbo & Zimmerman, 1993">{{Cite web|url=https://psycnet.apa.org/record/1994-24066-001|title=APA PsycNet|website=psycnet.apa.org}}</ref><ref name="auto">{{Cite journal|url=https://doi.org/10.1080/15305058.2001.9669476|title=The Geometry of Probability, Statistics, and Test Theory|first1=Donald W.|last1=Zimmerman|first2=Bruno D.|last2=Zumbo|date=September 1, 2001|journal=International Journal of Testing|volume=1|issue=3–4|pages=283–303|via=Taylor and Francis+NEJM|doi=10.1080/15305058.2001.9669476|s2cid=121139741 }}</ref><ref>{{cite journal|author=Bruno D. Zumbo |url=https://digitalcommons.wayne.edu/jmasm/vol17/iss2/17/ |title=Kroc & Zumbo, 2018 |journal=Journal of Modern Applied Statistical Methods |publisher=Digitalcommons.wayne.edu |date=2019-04-16 |volume=17 |issue=2 |doi=10.22237/jmasm/1555355848 |s2cid=146093001 |accessdate=2022-09-15}}</ref><ref name="ReferenceA">[[doi:10.1177/0013164419844305|Zumbo & Kroc, 2019]]</ref><ref name="ReferenceB">[[doi:10.1016/j.jmp.2020.102372|Kroc & Zumbo, 2020]]</ref> This emerges from applications of [[mathematical analysis]] and [[Measure (mathematics)|measure theory]] that allow for a precise, succinct, and mathematically coherent specification of test theory and resolves inconsistencies and apparent paradoxes in conventional psychometric theory. In the measure theoretic formulation of psychometric and measurement theory, one can speak of the general concept of measures instead of the restrictive notions of density or mass functions; and avoiding any entanglements about Stevens' [[Level of measurement|scales or levels of measurement]], and being limited to discrete or continuous random variables and ignoring attributes or phenomena that are mixtures of continuous and discrete random variables.<ref name="Zumbo & Zimmerman, 1993"/><ref name="ReferenceA"/><ref name="ReferenceB"/>
A series of collaborations by Bruno Zumbo, Donald Zimmerman, and Ed Kroc have articulated what Zumbo has termed "measure-theoretic psychometric and measurement theory".<ref>{{Cite web|url=https://psycnet.apa.org/record/1976-03576-001|title=APA PsycNet|website=psycnet.apa.org}}</ref><ref name="Zumbo & Zimmerman, 1993">{{Cite web|url=https://psycnet.apa.org/record/1994-24066-001|title=APA PsycNet|website=psycnet.apa.org}}</ref><ref name="auto">{{Cite journal|url=https://doi.org/10.1080/15305058.2001.9669476|title=The Geometry of Probability, Statistics, and Test Theory|first1=Donald W.|last1=Zimmerman|first2=Bruno D.|last2=Zumbo|date=September 1, 2001|journal=International Journal of Testing|volume=1|issue=3–4|pages=283–303|via=Taylor and Francis+NEJM|doi=10.1080/15305058.2001.9669476|s2cid=121139741 }}</ref><ref>{{cite journal|author=Bruno D. Zumbo |url=https://digitalcommons.wayne.edu/jmasm/vol17/iss2/17/ |title=Kroc & Zumbo, 2018 |journal=Journal of Modern Applied Statistical Methods |publisher=Digitalcommons.wayne.edu |date=2019-04-16 |volume=17 |issue=2 |doi=10.22237/jmasm/1555355848 |s2cid=146093001 |accessdate=2022-09-15}}</ref><ref name="ReferenceA">[[doi:10.1177/0013164419844305|Zumbo & Kroc, 2019]]</ref><ref name="ReferenceB">[[doi:10.1016/j.jmp.2020.102372|Kroc & Zumbo, 2020]]</ref> This emerges from applications of [[mathematical analysis]] and [[Measure (mathematics)|measure theory]] that allow for a precise, succinct, and mathematically coherent specification of test theory and resolves inconsistencies and apparent paradoxes in conventional psychometric theory. In the measure-theoretic formulation of psychometric and measurement theory, one can speak of the general concept of measures instead of the restrictive notions of density or mass functions; and avoid any entanglements about Stevens' [[Level of measurement|scales or levels of measurement]], and is limited to discrete or continuous random variables and ignoring attributes or phenomena that are mixtures of continuous and discrete random variables.<ref name="Zumbo & Zimmerman, 1993"/><ref name="ReferenceA"/><ref name="ReferenceB"/>


Zumbo has also been involved in a body of research sometimes called "differential item or test functioning (DIF / DTF)." This started as a study of the paradox that is measurement invariance.<ref>{{Cite web|url=https://psycnet.apa.org/record/2009-18227-011|title=APA PsycNet|website=psycnet.apa.org}}</ref><ref>Rupp and Zumbo [https://www.semanticscholar.org/paper/Which-Model-is-Best-Robustness-Properties-to-Model-Rupp-Zumbo/3eee8c412e1344c007f8d824a3a78d9613875f4b 2003]</ref><ref name="journals.sagepub.com">{{Cite journal|url=http://journals.sagepub.com/doi/10.1177/0013164403261051|title=A Note on How to Quantify and Report Whether Irt Parameter Invariance Holds: When Pearson Correlations are Not Enough|first1=André A.|last1=Rupp|first2=Bruno D.|last2=Zumbo|date=August 15, 2004|journal=Educational and Psychological Measurement|volume=64|issue=4|pages=588–599|via=DOI.org (Crossref)|doi=10.1177/0013164403261051|s2cid=120747650 }}</ref><ref name="journals.sagepub.com"/><ref name="auto"/><ref name="Zumbo and Gelin, 2005">{{cite web|url=https://faculty.educ.ubc.ca/zumbo/Zumbo_Gelin_A%20Matter%20of%20Test%20Bias.pdf |title=Zumbo and Gelin, 2005 |date= |accessdate=2022-09-15}}</ref><ref>{{Cite web|url=https://www.researchgate.net/publication/291872006|title=Zumbo and Rupp 2004}}</ref><ref>[https://www.semanticscholar.org/paper/A-Handbook-on-the-Theory-and-Methods-of-Item-(DIF)-Zumbo/7f88fb0ad98645582665532600d7c46406fa2db6 Zumbo 1999], [https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf 2007a]</ref><ref>{{Cite journal|url=https://doi.org/10.1080/15434300701375832|title=Three Generations of DIF Analyses: Considering Where It Has Been, Where It Is Now, and Where It Is Going|first=Bruno D.|last=Zumbo|date=July 3, 2007|journal=Language Assessment Quarterly|volume=4|issue=2|pages=223–233|via=Taylor and Francis+NEJM|doi=10.1080/15434300701375832|s2cid=17426415 }}</ref><ref>{{cite web|url=https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Univ_Firenze.pdf |title=2008 |date= |accessdate=2022-09-15}}</ref><ref>{{Cite web|url=https://psycnet.apa.org/record/2009-23060-004|title=APA PsycNet|website=psycnet.apa.org}}</ref> Mathematically, IRT parameter invariance is a simple identity for parameters that are on the same scale. Yet the latent scale in IRT models is arbitrary, so that unequated sets of model parameters are invariant only up to a set of linear transformations specific to a given IRT model.<ref>{{Cite web|url=https://psycnet.apa.org/record/1980-31463-001|title=APA PsycNet|website=psycnet.apa.org}}</ref> Additionally, this invariance does not imply that the Rasch scale is nonarbitrary; they merely imply that it has certain desirable measurement properties. Its metric remains fundamentally arbitrary, however, because the latent variable is a statistical construction.<ref>[https://www.taylorfrancis.com/books/mono/10.4324/9780203056615/applications-item-response-theory-practical-testing-problems-lord Lord, 1980], p.&nbsp;36</ref> As Rupp and Zumbo state, the "... process of clarifying what is meant by parameter invariance and demystifying its status, which is often misperceived as a 'mysterious' property that all IRT models seem to possess by definition across an almost infinite range of examinee populations and measurement conditions. Put differently, if thorough discussions about inferential limits and generalizability are desired, this article shows that the mathematical foundations of parameter invariance as a fundamental property of measurement cannot be ignored."<ref name="journals.sagepub.com"/>
Zumbo has also been involved in a body of research sometimes called "differential item or test functioning (DIF / DTF)." This started as a study of the paradox that is measurement invariance.<ref>{{Cite web|url=https://psycnet.apa.org/record/2009-18227-011|title=APA PsycNet|website=psycnet.apa.org}}</ref><ref>Rupp and Zumbo [https://www.semanticscholar.org/paper/Which-Model-is-Best-Robustness-Properties-to-Model-Rupp-Zumbo/3eee8c412e1344c007f8d824a3a78d9613875f4b 2003]</ref><ref name="journals.sagepub.com">{{Cite journal|url=http://journals.sagepub.com/doi/10.1177/0013164403261051|title=A Note on How to Quantify and Report Whether Irt Parameter Invariance Holds: When Pearson Correlations are Not Enough|first1=André A.|last1=Rupp|first2=Bruno D.|last2=Zumbo|date=August 15, 2004|journal=Educational and Psychological Measurement|volume=64|issue=4|pages=588–599|via=DOI.org (Crossref)|doi=10.1177/0013164403261051|s2cid=120747650 }}</ref><ref name="journals.sagepub.com"/><ref name="auto"/><ref name="Zumbo and Gelin, 2005">{{cite web|url=https://faculty.educ.ubc.ca/zumbo/Zumbo_Gelin_A%20Matter%20of%20Test%20Bias.pdf |title=Zumbo and Gelin, 2005 |date= |accessdate=2022-09-15}}</ref><ref>{{Cite web|url=https://www.researchgate.net/publication/291872006|title=Zumbo and Rupp 2004}}</ref><ref>[https://www.semanticscholar.org/paper/A-Handbook-on-the-Theory-and-Methods-of-Item-(DIF)-Zumbo/7f88fb0ad98645582665532600d7c46406fa2db6 Zumbo 1999], [https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf 2007a]</ref><ref>{{Cite journal|url=https://doi.org/10.1080/15434300701375832|title=Three Generations of DIF Analyses: Considering Where It Has Been, Where It Is Now, and Where It Is Going|first=Bruno D.|last=Zumbo|date=July 3, 2007|journal=Language Assessment Quarterly|volume=4|issue=2|pages=223–233|via=Taylor and Francis+NEJM|doi=10.1080/15434300701375832|s2cid=17426415 }}</ref><ref>{{cite web|url=https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Univ_Firenze.pdf |title=2008 |date= |accessdate=2022-09-15}}</ref><ref>{{Cite web|url=https://psycnet.apa.org/record/2009-23060-004|title=APA PsycNet|website=psycnet.apa.org}}</ref> Mathematically, IRT parameter invariance is a simple identity for parameters that are on the same scale. Yet the latent scale in IRT models is arbitrary, so that unequated sets of model parameters are invariant only up to a set of linear transformations specific to a given IRT model.<ref>{{Cite web|url=https://psycnet.apa.org/record/1980-31463-001|title=APA PsycNet|website=psycnet.apa.org}}</ref> Additionally, this invariance does not imply that the Rasch scale is nonarbitrary; they merely imply that it has certain desirable measurement properties. Its metric remains fundamentally arbitrary, however, because the latent variable is a statistical construction.<ref>[https://www.taylorfrancis.com/books/mono/10.4324/9780203056615/applications-item-response-theory-practical-testing-problems-lord Lord, 1980], p.&nbsp;36</ref> As Rupp and Zumbo state, the "... process of clarifying what is meant by parameter invariance and demystifying its status, which is often misperceived as a 'mysterious' property that all IRT models seem to possess by definition across an almost infinite range of examinee populations and measurement conditions. Put differently, if thorough discussions about inferential limits and generalizability are desired, this article shows that the mathematical foundations of parameter invariance as a fundamental property of measurement cannot be ignored."<ref name="journals.sagepub.com"/>


Alongside his research on exchangeability and invariance are the Draper-Lindley-de Finetti framework focused on inferences about items (or tasks) and persons made in assessment and surveys, described in Zumbo 2007.<ref>https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf {{Bare URL PDF|date=September 2022}}</ref> for the articulation of the bounds of the claims from our surveys and assessments, and (ii) Zumbo's explanation-focused view of test validity.<ref>Zumbo, [https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf 2007]</ref><ref>[https://psycnet.apa.org/record/2009-23060-004 2009], 2017</ref><ref name="Zumbo and Gelin, 2005"/><ref name="Zumbo et al., 2015">{{Cite journal|url=https://doi.org/10.1080/15434303.2014.972559|title=A Methodology for Zumbo's Third Generation DIF Analyses and the Ecology of Item Responding|first1=Bruno D.|last1=Zumbo|first2=Yan|last2=Liu|first3=Amery D.|last3=Wu|first4=Benjamin R.|last4=Shear|first5=Oscar L.|last5=Olvera Astivia|first6=Tavinder K.|last6=Ark|date=January 2, 2015|journal=Language Assessment Quarterly|volume=12|issue=1|pages=136–151|via=Taylor and Francis+NEJM|doi=10.1080/15434303.2014.972559|s2cid=143120068 }}</ref> These both invoke what Zumbo<ref>{{cite web|url=https://brunozumbo.com/?page_id=31 |title=2015 |publisher=Brunozumbo.com |date= |accessdate=2022-09-15}}</ref><ref>Zumbo, B.D. (2015, November). ''Consequences, Side Effects and the Ecology of Testing: Keys to Considering Assessment ‘In Vivo’''. Keynote address, the annual meeting of the Association for Educational Assessment – Europe (AEA-Europe), Glasgow, Scotland. Video URL https://brunozumbo.com/?page_id=31</ref> refers to as an in vivo view of testing and assessment rather than the more widely received in vitro view.<ref name="Zumbo et al., 2015"/>
Alongside his research on exchangeability and invariance is the Draper-Lindley-de Finetti framework focused on inferences about items (or tasks) and persons made in assessments and surveys, as described in Zumbo 2007.<ref>https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf {{Bare URL PDF|date=September 2022}}</ref> for the articulation of the bounds of the claims from our surveys and assessments, and (ii) Zumbo's explanation-focused view of test validity.<ref>Zumbo, [https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf 2007]</ref><ref>[https://psycnet.apa.org/record/2009-23060-004 2009], 2017</ref><ref name="Zumbo and Gelin, 2005"/><ref name="Zumbo et al., 2015">{{Cite journal|url=https://doi.org/10.1080/15434303.2014.972559|title=A Methodology for Zumbo's Third Generation DIF Analyses and the Ecology of Item Responding|first1=Bruno D.|last1=Zumbo|first2=Yan|last2=Liu|first3=Amery D.|last3=Wu|first4=Benjamin R.|last4=Shear|first5=Oscar L.|last5=Olvera Astivia|first6=Tavinder K.|last6=Ark|date=January 2, 2015|journal=Language Assessment Quarterly|volume=12|issue=1|pages=136–151|via=Taylor and Francis+NEJM|doi=10.1080/15434303.2014.972559|s2cid=143120068 }}</ref> These both invoke what Zumbo<ref>{{cite web|url=https://brunozumbo.com/?page_id=31 |title=2015 |publisher=Brunozumbo.com |date= |accessdate=2022-09-15}}</ref><ref>Zumbo, B.D. (2015, November). ''Consequences, Side Effects and the Ecology of Testing: Keys to Considering Assessment ‘In Vivo’''. Keynote address, the annual meeting of the Association for Educational Assessment – Europe (AEA-Europe), Glasgow, Scotland. Video URL https://brunozumbo.com/?page_id=31</ref> refers to as an in vivo view of testing and assessment rather than the more widely received in vitro view.<ref name="Zumbo et al., 2015"/>


==Awards and recognition==
==Awards and recognition==

Revision as of 00:19, 17 September 2022

Bruno D. Zumbo
BornApril 1966 (age 58)
NationalityCanadian
OccupationMathematician
Years active1990–present
Academic background
Alma materCarleton University
University of Alberta
Doctoral advisorDonald W. Zimmerman
Academic work
DisciplineMathematical Science, Psychometrics, Statistics
Sub-disciplinePsychometrics, Measurement
InstitutionsUniversity of British Columbia

Bruno D. Zumbo is a Canadian mathematical scientist trained in the tradition of research that combines pure and applied mathematics with statistical and algorithmic techniques to develop theory and solve problems arising in measurement, testing, and surveys in the social, behavioral, and health sciences. He is currently Professor and Distinguished University Scholar, the Canada Research Chair in Psychometrics and Measurement (Tier 1), and the Paragon UBC Professor of Psychometrics & Measurement[1] at University of British Columbia.

His research in the mathematical sciences reflects a wide range of research in mathematics and statistics aimed at developing and exploring the properties and applications of mathematical structures of measurement, survey design, testing, and assessment.

Education

He completed his B.Sc. at the University of Alberta (Edmonton, AB) and his MA and Ph.D. from Carleton University (Ottawa, ON). His doctoral dissertation titled "Statistical Methods to Overcome Nonindependence of Coupled Data in Significance Testing" was under the direction of Donald W. Zimmerman (Carleton University, Ottawa)[2].

Career

Zumbo teaches in the graduate Measurement, Evaluation, & Research Methodology Program with an additional appointment in the Institute of Applied Mathematics, and earlier also in the Department of Statistics, at the University of British Columbia (UBC) in Vancouver, British Columbia, Canada. Prior to arriving at UBC in 2000, he held professorships in the Departments of Psychology and of Mathematics at the University of Northern British Columbia (1994-2000), and earlier in the Faculty of Education with an adjunct appointment in the Department of Mathematics at the University of Ottawa (1990-1994).

His research interests have been focused on the mathematical sciences of measurement and scientific methodology with a blend of mathematics, social sciences like psychology, philosophy of science and measurement in science.[3]

He is known for his contributions in the fields of statistics, psychometrics, validity theory, and studies of the mathematical basis of classical test theory, item response theory, and measurement error models. His program of research is actively engaged in psychometrics for language testing, quality of life and wellbeing, and health and human development. This applied work, in the end, feeds his basic program of research in research methodology and measurement.[4][3]

Research

A series of collaborations by Bruno Zumbo, Donald Zimmerman, and Ed Kroc have articulated what Zumbo has termed "measure-theoretic psychometric and measurement theory".[5][6][7][8][9][10] This emerges from applications of mathematical analysis and measure theory that allow for a precise, succinct, and mathematically coherent specification of test theory and resolves inconsistencies and apparent paradoxes in conventional psychometric theory. In the measure-theoretic formulation of psychometric and measurement theory, one can speak of the general concept of measures instead of the restrictive notions of density or mass functions; and avoid any entanglements about Stevens' scales or levels of measurement, and is limited to discrete or continuous random variables and ignoring attributes or phenomena that are mixtures of continuous and discrete random variables.[6][9][10]

Zumbo has also been involved in a body of research sometimes called "differential item or test functioning (DIF / DTF)." This started as a study of the paradox that is measurement invariance.[11][12][13][13][7][14][15][16][17][18][19] Mathematically, IRT parameter invariance is a simple identity for parameters that are on the same scale. Yet the latent scale in IRT models is arbitrary, so that unequated sets of model parameters are invariant only up to a set of linear transformations specific to a given IRT model.[20] Additionally, this invariance does not imply that the Rasch scale is nonarbitrary; they merely imply that it has certain desirable measurement properties. Its metric remains fundamentally arbitrary, however, because the latent variable is a statistical construction.[21] As Rupp and Zumbo state, the "... process of clarifying what is meant by parameter invariance and demystifying its status, which is often misperceived as a 'mysterious' property that all IRT models seem to possess by definition across an almost infinite range of examinee populations and measurement conditions. Put differently, if thorough discussions about inferential limits and generalizability are desired, this article shows that the mathematical foundations of parameter invariance as a fundamental property of measurement cannot be ignored."[13]

Alongside his research on exchangeability and invariance is the Draper-Lindley-de Finetti framework focused on inferences about items (or tasks) and persons made in assessments and surveys, as described in Zumbo 2007.[22] for the articulation of the bounds of the claims from our surveys and assessments, and (ii) Zumbo's explanation-focused view of test validity.[23][24][14][25] These both invoke what Zumbo[26][27] refers to as an in vivo view of testing and assessment rather than the more widely received in vitro view.[25]

Awards and recognition

  • Distinguished University Scholar, 2017[28]
  • Pioneer in the Psychometrics of Quality of Life, 2018 by the International Society for Quality of Life Studies[29]
  • Centenary Medal of Distinction, awarded in 2019 by the UBC School of Nursing[30]
  • Paragon UBC Professorship in Psychometrics and Measurement[31]
  • Tier 1 - Canada Research Chair in Psychometrics and Measurement, held at the University of British Columbia, awarded in 2020[32]

References

  1. ^ "Bruno Zumbo". ubc.ca. Retrieved March 6, 2017.
  2. ^ Zumbo, Bruno (1993). "Ottawa : National Library of Canada = Bibliothèque nationale du Canada". bac-lac.on.worldcat.org. Retrieved 2022-09-16.
  3. ^ a b Zumbo, Bruno. "Bruno Zumbo". faculty.educ.ubc.ca. Retrieved 2017-08-21.
  4. ^ "Bruno D. Zumbo". Retrieved March 6, 2017.
  5. ^ "APA PsycNet". psycnet.apa.org.
  6. ^ a b "APA PsycNet". psycnet.apa.org.
  7. ^ a b Zimmerman, Donald W.; Zumbo, Bruno D. (September 1, 2001). "The Geometry of Probability, Statistics, and Test Theory". International Journal of Testing. 1 (3–4): 283–303. doi:10.1080/15305058.2001.9669476. S2CID 121139741 – via Taylor and Francis+NEJM.
  8. ^ Bruno D. Zumbo (2019-04-16). "Kroc & Zumbo, 2018". Journal of Modern Applied Statistical Methods. 17 (2). Digitalcommons.wayne.edu. doi:10.22237/jmasm/1555355848. S2CID 146093001. Retrieved 2022-09-15.
  9. ^ a b Zumbo & Kroc, 2019
  10. ^ a b Kroc & Zumbo, 2020
  11. ^ "APA PsycNet". psycnet.apa.org.
  12. ^ Rupp and Zumbo 2003
  13. ^ a b c Rupp, André A.; Zumbo, Bruno D. (August 15, 2004). "A Note on How to Quantify and Report Whether Irt Parameter Invariance Holds: When Pearson Correlations are Not Enough". Educational and Psychological Measurement. 64 (4): 588–599. doi:10.1177/0013164403261051. S2CID 120747650 – via DOI.org (Crossref).
  14. ^ a b "Zumbo and Gelin, 2005" (PDF). Retrieved 2022-09-15.
  15. ^ "Zumbo and Rupp 2004".
  16. ^ Zumbo 1999, 2007a
  17. ^ Zumbo, Bruno D. (July 3, 2007). "Three Generations of DIF Analyses: Considering Where It Has Been, Where It Is Now, and Where It Is Going". Language Assessment Quarterly. 4 (2): 223–233. doi:10.1080/15434300701375832. S2CID 17426415 – via Taylor and Francis+NEJM.
  18. ^ "2008" (PDF). Retrieved 2022-09-15.
  19. ^ "APA PsycNet". psycnet.apa.org.
  20. ^ "APA PsycNet". psycnet.apa.org.
  21. ^ Lord, 1980, p. 36
  22. ^ https://faculty.educ.ubc.ca/zumbo/papers/Zumbo_Validity_Chapter_Reprint.pdf [bare URL PDF]
  23. ^ Zumbo, 2007
  24. ^ 2009, 2017
  25. ^ a b Zumbo, Bruno D.; Liu, Yan; Wu, Amery D.; Shear, Benjamin R.; Olvera Astivia, Oscar L.; Ark, Tavinder K. (January 2, 2015). "A Methodology for Zumbo's Third Generation DIF Analyses and the Ecology of Item Responding". Language Assessment Quarterly. 12 (1): 136–151. doi:10.1080/15434303.2014.972559. S2CID 143120068 – via Taylor and Francis+NEJM.
  26. ^ "2015". Brunozumbo.com. Retrieved 2022-09-15.
  27. ^ Zumbo, B.D. (2015, November). Consequences, Side Effects and the Ecology of Testing: Keys to Considering Assessment ‘In Vivo’. Keynote address, the annual meeting of the Association for Educational Assessment – Europe (AEA-Europe), Glasgow, Scotland. Video URL https://brunozumbo.com/?page_id=31
  28. ^ "Bruno Zumbo, Distinguished University Scholar at UBC". 15 February 2017.
  29. ^ "Congratulations to ECPS Professor and Distinguished University Scholar Bruno D. Zumbo". 15 November 2018.
  30. ^ "Dr. Bruno Zumbo receives the School of Nursing Centenary Medal of Distinction". April 2019.
  31. ^ "Dr. Bruno Zumbo: Paragon UBC Professorship in Psychometrics and Measurement". 27 August 2015.
  32. ^ "Canada Research Chair - Profile". Chairs-chaires.gc.ca. Retrieved 2022-09-15.

Scholarly interests

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