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The numeric understanding measures: Developing and validating adaptive and nonadaptive numeracy scales
- Michael C. Silverstein, Pär Bjälkebring, Brittany Shoots-Reinhard, Ellen Peters
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- Journal:
- Judgment and Decision Making / Volume 18 / 2023
- Published online by Cambridge University Press:
- 28 June 2023, e19
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- Article
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Numeracy—the ability to understand and use numeric information—is linked to good decision-making. Several problems exist with current numeracy measures, however. Depending on the participant sample, some existing measures are too easy or too hard; also, established measures often contain items well-known to participants. The current article aimed to develop new numeric understanding measures (NUMs) including a 1-item (1-NUM), 4-item (4-NUM), and 4-item adaptive measure (A-NUM). In a calibration study, 2 participant samples (n = 226 and 264 from Amazon’s Mechanical Turk [MTurk]) each responded to half of 84 novel numeracy items. We calibrated items using 2-parameter logistic item response theory (IRT) models. Based on item parameters, we developed the 3 new numeracy measures. In a subsequent validation study, 600 MTurk participants completed the new numeracy measures, the adaptive Berlin Numeracy Test, and the Weller Rasch-Based Numeracy Test, in randomized order. To establish predictive and convergent validities, participants also completed judgment and decision tasks, Raven’s progressive matrices, a vocabulary test, and demographics. Confirmatory factor analyses suggested that the 1-NUM, 4-NUM, and A-NUM load onto the same factor as existing measures. The NUM scales also showed similar association patterns to subjective numeracy and cognitive ability measures as established measures. Finally, they effectively predicted classic numeracy effects. In fact, based on power analyses, the A-NUM and 4-NUM appeared to confer more power to detect effects than existing measures. Thus, using IRT, we developed 3 brief numeracy measures, using novel items and without sacrificing construct scope. The measures can be downloaded as Qualtrics files (https://osf.io/pcegz/).
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- By Cecil S. Ash, Paul Barach, Ulrike Buehner, M. Ross Bullock, Leonardo Canale, Henry G. Chou, Jeffrey A. Claridge, John J. Como, Armagan Dagal, Martin Dauber, James S. Davis, Shalini Dhir, François Donati, Roman Dudaryk, Richard P. Dutton, Talmage D. Egan, Yashar Eshraghi, John R. Fisgus, Jeff Gadsden, Sugantha Ganapathy, Mark A. Gerhardt, Inderjit Gill, Joseph F. Golob, Glenn P. Gravlee, Marcello Guglielmi, Jana Hambley, Peter Hebbard, Elena J. Holak, Khadil Hosein, Ken Johnson, Matthew A. Joy, George W. Kanellakos, Olga Kaslow, Arthur M. Lam, Vanetta Levesque, Jessica Anne Lovich-Sapola, M. Jocelyn Loy, Peter F. Mahoney, Donn Marciniak, Maureen McCunn, Craig C. McFarland, Maroun J. Mhanna, Timothy Moore, Cynthia Nguyen, Maxim Novikov, E. Orestes O’Brien, Ketan P. Parekh, Claire L. Park, Michael J. A. Parr, Elie Rizkala, Steven Roth, Alistair Royse, Colin Royse, Kasia Petelenz Rubin, David Ryan, Claire Sandstrom, Carl I. Schulman, Rishad Shaikh, Ranjita Sharma, Jeffrey H. Silverstein, Peter Slinger, Charles E. Smith, Christopher Smith, Paul Soeding, Rakesh V. Sondekoppam, P. David Soran, Eldar Søreide, Elizabeth A. Steele, Kristian Strand, Dennis M. Super, Kutaiba Tabbaa, Nicholas T. Tarmey, Joshua M. Tobin, Kalpana Tyagaraj, Heather A. Vallier, Sandra Werner, Earl Willis Weyers, William C. Wilson, Shoji Yokobori, Charles J. Yowler
- Edited by Charles E. Smith
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- Book:
- Trauma Anesthesia
- Published online:
- 05 April 2015
- Print publication:
- 09 April 2015, pp vii-x
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- By Mark Aronoff, Bernard Bate, Balthasar Bickel, Roger M. Blench, Robert B. Brandom, Penelope Brown, Elizabeth Couper-Kuhlen, Dan Dediu, Mark Dingemanse, R. M. W. Dixon, Penelope Eckert, N. J. Enfield, Paja Faudree, Luke Fleming, Simeon Floyd, Suzanne Gaskins, Ilana Gershon, Susan Goldin-Meadow, Magnus Pharao Hansen, Paul Kockelman, Michael Lempert, Stephen C. Levinson, Paul Manning, Irit Meir, Shaylih Muehlmann, Carol Padden, Keren Rice, Alan Rumsey, Wendy Sandler, Jack Sidnell, Michael Silverstein, Rupert Stasch, David Tavárez, Sandra A. Thompson
- Edited by N. J. Enfield, Paul Kockelman, Yale University, Connecticut, Jack Sidnell, University of Toronto
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- Book:
- The Cambridge Handbook of Linguistic Anthropology
- Published online:
- 05 October 2014
- Print publication:
- 11 September 2014, pp xiii-xiv
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- By Alaa A. Abd-Elsayed, Basem Abdelmalak, Kalil G. Abdullah, Maged Argalious, Rafi Avitsian, Maria Bauer, Edward C. Benzel, Dani S. Bidros, William Bingaman, Jay B. Brodsky, David Brown, Patrick M. Callahan, Juan P. Cata, Chakorn Chansakul, Jianguo Cheng, Jeffrey G. Clark, Peter J. Davis, Stacie Deiner, Xiao Di, Karen B. Domino, D. John Doyle, Zeyd Ebrahim, Ehab Farag, Gordon Finlayson, Elizabeth A. M. Frost, Matthew Grosso, David P. Gurd, Rodolfo Hakim, Robert Helfand, Iain H. Kalfas, Rami Karroum, Michael Kelly, Stephen J. Kimatian, Christian Koopman, Ajit A. Krishnaney, Andrea Kurz, Lorri A. Lee, Brian P. Lemkuil, James K. C. Liu, Sara P. Lozano, Daniel Lubelski, Mark Luciano, Ramez Malaty, Mariel R. Manlapaz, Edward M. Manno, Virgilio Matheus, Robert F. McLain, Nagy Mekhail, Doksu Moon, Loran Soliman Mounir, Raghu Mudumbai, Thomas E. Mroz, Dileep R. Nair, Julie Niezgoda, R. Douglas Orr, Piyush M. Patel, Jason E. Pope, Manuel Saavedra, Kenneth J. Saliba, Richard Schlenk, John Seif, John H. Shin, Jeffrey Silverstein, Dmitri Souzdalnitski, Michael Steinmetz, Tunga Suresh, John E. Tetzlaff, Sherif Zaky
- Edited by Ehab Farag
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- Book:
- Anesthesia for Spine Surgery
- Published online:
- 05 June 2012
- Print publication:
- 17 May 2012, pp ix-xii
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- By Aakash Agarwala, Linda S. Aglio, Rae M. Allain, Paul D. Allen, Houman Amirfarzan, Yasodananda Kumar Areti, Amit Asopa, Edwin G. Avery, Patricia R. Bachiller, Angela M. Bader, Rana Badr, Sibinka Bajic, David J. Baker, Sheila R. Barnett, Rena Beckerly, Lorenzo Berra, Walter Bethune, Sascha S. Beutler, Tarun Bhalla, Edward A. Bittner, Jonathan D. Bloom, Alina V. Bodas, Lina M. Bolanos-Diaz, Ruma R. Bose, Jan Boublik, John P. Broadnax, Jason C. Brookman, Meredith R. Brooks, Roland Brusseau, Ethan O. Bryson, Linda A. Bulich, Kenji Butterfield, William R. Camann, Denise M. Chan, Theresa S. Chang, Jonathan E. Charnin, Mark Chrostowski, Fred Cobey, Adam B. Collins, Mercedes A. Concepcion, Christopher W. Connor, Bronwyn Cooper, Jeffrey B. Cooper, Martha Cordoba-Amorocho, Stephen B. Corn, Darin J. Correll, Gregory J. Crosby, Lisa J. Crossley, Deborah J. Culley, Tomas Cvrk, Michael N. D'Ambra, Michael Decker, Daniel F. Dedrick, Mark Dershwitz, Francis X. Dillon, Pradeep Dinakar, Alimorad G. Djalali, D. John Doyle, Lambertus Drop, Ian F. Dunn, Theodore E. Dushane, Sunil Eappen, Thomas Edrich, Jesse M. Ehrenfeld, Jason M. Erlich, Lucinda L. Everett, Elliott S. Farber, Khaldoun Faris, Eddy M. Feliz, Massimo Ferrigno, Richard S. Field, Michael G. Fitzsimons, Hugh L. Flanagan Jr., Vladimir Formanek, Amanda A. Fox, John A. Fox, Gyorgy Frendl, Tanja S. Frey, Samuel M. Galvagno Jr., Edward R. Garcia, Jonathan D. Gates, Cosmin Gauran, Brian J. Gelfand, Simon Gelman, Alexander C. Gerhart, Peter Gerner, Omid Ghalambor, Christopher J. Gilligan, Christian D. Gonzalez, Noah E. Gordon, William B. Gormley, Thomas J. Graetz, Wendy L. Gross, Amit Gupta, James P. Hardy, Seetharaman Hariharan, Miriam Harnett, Philip M. Hartigan, Joaquim M. Havens, Bishr Haydar, Stephen O. Heard, James L. Helstrom, David L. Hepner, McCallum R. Hoyt, Robert N. Jamison, Karinne Jervis, Stephanie B. Jones, Swaminathan Karthik, Richard M. Kaufman, Shubjeet Kaur, Lee A. Kearse Jr., John C. Keel, Scott D. Kelley, Albert H. Kim, Amy L. Kim, Grace Y. Kim, Robert J. Klickovich, Robert M. Knapp, Bhavani S. Kodali, Rahul Koka, Alina Lazar, Laura H. Leduc, Stanley Leeson, Lisa R. Leffert, Scott A. LeGrand, Patricio Leyton, J. Lance Lichtor, John Lin, Alvaro A. Macias, Karan Madan, Sohail K. Mahboobi, Devi Mahendran, Christine Mai, Sayeed Malek, S. Rao Mallampati, Thomas J. Mancuso, Ramon Martin, Matthew C. Martinez, J. A. Jeevendra Martyn, Kai Matthes, Tommaso Mauri, Mary Ellen McCann, Shannon S. McKenna, Dennis J. McNicholl, Abdel-Kader Mehio, Thor C. Milland, Tonya L. K. Miller, John D. Mitchell, K. Annette Mizuguchi, Naila Moghul, David R. Moss, Ross J. Musumeci, Naveen Nathan, Ju-Mei Ng, Liem C. Nguyen, Ervant Nishanian, Martina Nowak, Ala Nozari, Michael Nurok, Arti Ori, Rafael A. Ortega, Amy J. Ortman, David Oxman, Arvind Palanisamy, Carlo Pancaro, Lisbeth Lopez Pappas, Benjamin Parish, Samuel Park, Deborah S. Pederson, Beverly K. Philip, James H. Philip, Silvia Pivi, Stephen D. Pratt, Douglas E. Raines, Stephen L. Ratcliff, James P. Rathmell, J. Taylor Reed, Elizabeth M. Rickerson, Selwyn O. Rogers Jr., Thomas M. Romanelli, William H. Rosenblatt, Carl E. Rosow, Edgar L. Ross, J. Victor Ryckman, Mônica M. Sá Rêgo, Nicholas Sadovnikoff, Warren S. Sandberg, Annette Y. Schure, B. Scott Segal, Navil F. Sethna, Swapneel K. Shah, Shaheen F. Shaikh, Fred E. Shapiro, Torin D. Shear, Prem S. Shekar, Stanton K. Shernan, Naomi Shimizu, Douglas C. Shook, Kamal K. Sikka, Pankaj K. Sikka, David A. Silver, Jeffrey H. Silverstein, Emily A. Singer, Ken Solt, Spiro G. Spanakis, Wolfgang Steudel, Matthias Stopfkuchen-Evans, Michael P. Storey, Gary R. Strichartz, Balachundhar Subramaniam, Wariya Sukhupragarn, John Summers, Shine Sun, Eswar Sundar, Sugantha Sundar, Neelakantan Sunder, Faraz Syed, Usha B. Tedrow, Nelson L. Thaemert, George P. Topulos, Lawrence C. Tsen, Richard D. Urman, Charles A. Vacanti, Francis X. Vacanti, Joshua C. Vacanti, Assia Valovska, Ivan T. Valovski, Mary Ann Vann, Susan Vassallo, Anasuya Vasudevan, Kamen V. Vlassakov, Gian Paolo Volpato, Essi M. Vulli, J. Matthias Walz, Jingping Wang, James F. Watkins, Maxwell Weinmann, Sharon L. Wetherall, Mallory Williams, Sarah H. Wiser, Zhiling Xiong, Warren M. Zapol, Jie Zhou
- Edited by Charles Vacanti, Scott Segal, Pankaj Sikka, Richard Urman
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- Book:
- Essential Clinical Anesthesia
- Published online:
- 05 January 2012
- Print publication:
- 11 July 2011, pp xv-xxviii
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- By Waiel Almoustadi, Brian J. Anderson, David B. Auyong, Michael Avidan, Michael J. Avram, Roland J. Bainton, Jeffrey R. Balser, Juliana Barr, W. Scott Beattie, Manfred Blobner, T. Andrew Bowdle, Walter A. Boyle, Eugene B. Campbell, Laura F. Cavallone, Mario Cibelli, C. Michael Crowder, Ola Dale, M. Frances Davies, Mark Dershwitz, George Despotis, Clifford S. Deutschman, Brian S. Donahue, Marcel E. Durieux, Thomas J. Ebert, Talmage D. Egan, Helge Eilers, E. Wesley Ely, Charles W. Emala, Alex S. Evers, Heidrun Fink, Pierre Foëx, Stuart A. Forman, Helen F. Galley, Josephine M. Garcia-Ferrer, Robert W. Gereau, Tony Gin, David Glick, B. Joseph Guglielmo, Dhanesh K. Gupta, Howard B. Gutstein, Robert G. Hahn, Greg B. Hammer, Brian P. Head, Helen Higham, Laureen Hill, Kirk Hogan, Charles W. Hogue, Christopher G. Hughes, Eric Jacobsohn, Roger A. Johns, Dean R. Jones, Max Kelz, Evan D. Kharasch, Ellen W. King, W. Andrew Kofke, Tom C. Krejcie, Richard M. Langford, H. T. Lee, Isobel Lever, Jerrold H. Levy, J. Lance Lichtor, Larry Lindenbaum, Hung Pin Liu, Geoff Lockwood, Alex Macario, Conan MacDougall, M. B. MacIver, Aman Mahajan, Nándor Marczin, J. A. Jeevendra Martyn, George A. Mashour, Mervyn Maze, Thomas McDowell, Stuart McGrane, Berend Mets, Patrick Meybohm, Charles F. Minto, Jonathan Moss, Mohamed Naguib, Istvan Nagy, Nick Oliver, Paul S. Pagel, Pratik P. Pandharipande, Piyush Patel, Andrew J. Patterson, Robert A. Pearce, Ronald G. Pearl, Misha Perouansky, Kristof Racz, Chinniampalayam Rajamohan, Nilesh Randive, Imre Redai, Stephen Robinson, Richard W. Rosenquist, Carl E. Rosow, Uwe Rudolph, Francis V. Salinas, Robert D. Sanders, Sunita Sastry, Michael Schäfer, Jens Scholz, Thomas W. Schnider, Mark A. Schumacher, John W. Sear, Frédérique S. Servin, Jeffrey H. Silverstein, Tom De Smet, Martin Smith, Joe Henry Steinbach, Markus Steinfath, David F. Stowe, Gary R. Strichartz, Michel M. R. F. Struys, Isao Tsuneyoshi, Robert A. Veselis, Arthur Wallace, Robert P. Walt, David C. Warltier, Nigel R. Webster, Jeanine Wiener-Kronish, Troy Wildes, Paul Wischmeyer, Ling-Gang Wu, Stephen Yang
- Edited by Alex S. Evers, Washington University School of Medicine, St Louis, Mervyn Maze, University of California, San Francisco, Evan D. Kharasch, Washington University School of Medicine, St Louis
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- Book:
- Anesthetic Pharmacology
- Published online:
- 11 April 2011
- Print publication:
- 10 March 2011, pp viii-xiv
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- By Louise B. Andrew, Jane C. Ballantyne, Sadek Beloucif, David Clendenin, Maliha A. Darugar, Joanna M. Davies, Michael DeVita, Denise M. Dudzinski, Bernice Elger, Monica Escher, Joel E Frader, Kelly Fryer-Edwards, James Giordano, Allen Gustin, Rebecca M. Harris, Gerhard Höver, Steven K. Howard, Carl C. Hug, Samia Hurst, Steven Jackson, Nancy S. Jecker, Jonathan D Katz, Joseph Klein, W. Andrew Kofke, Ruth Landau, Craig D. McClain MD, Alex Mauron, Kelly N. Michelson, Cynthiane J. Morgenweck, William Notcutt, Michael Nurok, Susan K. Palmer, Joan G. Quaine, Michael A. Rie, Stanley H. Rosenbaum, David M. Rothenberg, Robert B. Schonberger, Mark D. Siegel, Jeffrey H. Silverstein, Murali Sivarajan, Karen Souter MD, Thomas Specht MD, Andrea Trescot, Gail A. Van Norman, A.M. Viens, Elizabeth K. Vig, David B. Waisel, Clarence Ward, James M. West, Richard L Wolman, Steve Yentis
- Edited by Gail A. Van Norman, University of Washington, Stephen Jackson, Stanley H. Rosenbaum, Susan K. Palmer
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- Book:
- Clinical Ethics in Anesthesiology
- Published online:
- 05 March 2012
- Print publication:
- 28 October 2010, pp xi-xiv
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- By Isabella Aboderin, W. Andrew Achenbaum, Katherine R. Allen, Toni C. Antonucci, Sara Arber, Claudine Attias‐Donfut, Paul B. Baltes, Sandhi Maria Barreto, Vern L. Bengtson, Simon Biggs, Joanna Bornat, Julie B. Boron, Mike Boulton, Clive E. Bowman, Marjolein Broese van Groenou, Edna Brown, Robert N. Butler, Bill Bytheway, Neena L. Chappell, Neil Charness, Kaare Christensen, Peter G. Coleman, Ingrid Arnet Connidis, Neal E. Cutler, Sara J. Czaja, Svein Olav Daatland, Lia Susana Daichman, Adam Davey, Bleddyn Davies, Freya Dittmann‐Kohli, Glen H. Elder, Carroll L. Estes, Mike Featherstone, Amy Fiske, Alexandra Freund, Daphna Gans, Linda K. George, Roseann Giarrusso, Chris Gilleard, Jay Ginn, Edlira Gjonça, Elena L. Grigorenko, Jaber F. Gubrium, Sarah Harper, Jutta Heckhausen, Akiko Hashimoto, Jon Hendricks, Mike Hepworth, Charlotte Ikels, James S. Jackson, Yuri Jang, Bernard Jeune, Malcolm L. Johnson, Randi S. Jones, Alexandre Kalache, Robert L. Kane, Rosalie A. Kane, Ingrid Keller, Rose Anne Kenny, Thomas B. L. Kirkwood, Kees Knipscheer, Martin Kohli, Gisela Labouvie‐Vief, Kristina Larsson, Shu‐Chen Li, Charles F. Longino, Ariela Lowenstein, Erick McCarthy, Gerald E. McClearn, Brendan McCormack, Elizabeth MacKinlay, Alfons Marcoen, Michael Marmot, Tom Margrain, Victor W. Marshall, Elizabeth A. Maylor, Ruud ter Meulen, Harry R. Moody, Robert A. Neimeyer, Demi Patsios, Margaret J. Penning, Stephen A. Petrill, Chris Phillipson, Leonard W. Poon, Norella M. Putney, Jill Quadagno, Pat Rabbitt, Jennifer Reid Keene, Sandra G. Reynolds, Steven R. Sabat, Clive Seale, Merril Silverstein, Hannes B. Staehelin, Ursula M. Staudinger, Robert J. Sternberg, Debra Street, Philip Taylor, Fleur Thomése, Mats Thorslund, Jinzhou Tian, Theo van Tilburg, Fernando M. Torres‐Gil, Josy Ubachs‐Moust, Christina Victor, K. Warner Shaie, Anthony M. Warnes, James L. Werth, Sherry L. Willis, François‐Charles Wolff, Bob Woods
- Edited by Malcolm L. Johnson, University of Bristol
- Edited in association with Vern L. Bengtson, University of Southern California, Peter G. Coleman, University of Southampton, Thomas B. L. Kirkwood, University of Newcastle upon Tyne
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- Book:
- The Cambridge Handbook of Age and Ageing
- Published online:
- 05 June 2016
- Print publication:
- 01 December 2005, pp xii-xvi
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