108
Luce, R. D., Krantz, D. H., Suppes, P., & Tverski, A. (1990). Foundations of measurement -
Representation, Axiomatization, and Invariance (Vol. III). New York: Academic Press.
Margenau, H. (1958). Philosophical problems concerning the meaning of measurement in physics.
Philosophy of Science, 25, 23–33.
Mari, L. (1997). The role of determination and assignment in measurement. Measurement, 21,
79–90.
Mari, L. (2003). Epistemology of measurement. Measurement, 34, 17–30.
Mari, L. (2013). A quest for the definition of measurement. Measurement, 46, 2889–2895.
Mari, L., Carbone, P., & Petri, D. (2012). Measurement fundamentals: A pragmatic view. IEEE
Transactions in Instrumentation and Measurement, 61, 2107–2115.
Mari, L., Maul, A., Torres Irribarra, D., & Wilson, M. (2017). Quantities, quantification and the
necessary and sufficient conditions for measurement. Measurement, 100, 115–121.
Markus, K. A., & Borsboom, D. (2013). Frontiers of test validity theory: Measurement, causation,
and meaning. New York: Routledge.
Maul, A. (2013). The ontology of psychological attributes. Theory & Psychology, 23, 752–769.
Maul, A. (2014). Justification is not truth, and testing is not measurement: Understanding the
purpose and value of the standards. Educational Measurement: Issues and Practice, 33, 39–41.
Maul, A. (2018). Validity. In B. Frey (Ed.), The SAGE encyclopedia of educational research, measurement, and evaluation (pp. 1771–1775). Thousand Oaks, CA: SAGE Publications.
Maul, A., Torres Irribarra, D., & Wilson, M. (2016). On the philosophical foundations of psychological measurement. Measurement, 79, 311–320.
McGrane, J. (2015). Stevens’ forgotten crossroads: The divergent measurement traditions in the
physical and psychological sciences from the mid-twentieth century. Frontiers in Psychology,
6, 431.
McGrane, J., & Maul, A. (2020). The human sciences, models and metrological mythology.
Measurement, 152. https://doi.org/10.1016/j.measurement.2019.107346
Messick, S. (1989). Validity. In R. L. Linn (Ed.), Educational measurement (3rd ed., pp. 13–103).
New York: American Council on Education/Macmillan.
Michell, J. (1990). An introduction to the logic of psychological measurement. New York:
Psychology Press.
Michell, J. (1997). Quantitative science and the definition of measurement in psychology. British
Journal of Psychology, 88, 355–383.
Michell, J. (1999). Measurement in psychology: A critical history of a methodological concept.
Cambridge: Cambridge University Press.
Michell, J. (2004). Item response models, pathological science and the shape of error: Reply to
Borsboom and Mellenbergh. Theory & Psychology, 14, 121.
Michell, J. (2005). The logic of measurement: A realist overview. Measurement, 38(4), 285–294.
Michell, J. (2009). Invalidity in validity. In R.W. Lissitz (Ed.), The concept of validity: Revisions,
new directions and applications (pp. 135–170). Charlotte, NC: Information Age Publishing.
Mislevy, R. J. (2018). Sociocognitive foundations of educational measurement. New York:
Routledge.
Molenaar, P. C. M., & Von Eye, A. (1994). On the arbitrary nature of latent variables. In A. von Eye
& C. C. Clegg (Eds.), Latent variables analysis. Thousand Oaks, CA: Sage.
Moss, P. A. (1994). Can there be validity without reliability? Educational Researcher, 23(2), 5–12.
Narens, L. (1985). Abstract measurement theory. Cambridge, MA: MIT Press.
Narens, L. (2002). Theories of meaningfulness. Mahwah, NJ: Lawrence Erlbaum.
Narens, L., & Luce, R. (1986). Measurement: The theory of numerical assignments. Psychological
Bulletin, 99(2), 166–180.
Neurath, O., Hahn, H., & Carnap, R. (1973). The scientific conception of the world: The Vienna
circle. Empiricism and sociology. Boston, MA: Reidel.
Newton, P. E. (2012). Clarifying the consensus definition of validity. Measurement: Interdisciplinary
Research & Perspectives, 10(1–2), 1–29.
4 Philosophical perspectives on measurement
Luce, R. D., Krantz, D. H., Suppes, P., & Tverski, A. (1990). Foundations of measurement -
Representation, Axiomatization, and Invariance (Vol. III). New York: Academic Press.
Margenau, H. (1958). Philosophical problems concerning the meaning of measurement in physics.
Philosophy of Science, 25, 23–33.
Mari, L. (1997). The role of determination and assignment in measurement. Measurement, 21,
79–90.
Mari, L. (2003). Epistemology of measurement. Measurement, 34, 17–30.
Mari, L. (2013). A quest for the definition of measurement. Measurement, 46, 2889–2895.
Mari, L., Carbone, P., & Petri, D. (2012). Measurement fundamentals: A pragmatic view. IEEE
Transactions in Instrumentation and Measurement, 61, 2107–2115.
Mari, L., Maul, A., Torres Irribarra, D., & Wilson, M. (2017). Quantities, quantification and the
necessary and sufficient conditions for measurement. Measurement, 100, 115–121.
Markus, K. A., & Borsboom, D. (2013). Frontiers of test validity theory: Measurement, causation,
and meaning. New York: Routledge.
Maul, A. (2013). The ontology of psychological attributes. Theory & Psychology, 23, 752–769.
Maul, A. (2014). Justification is not truth, and testing is not measurement: Understanding the
purpose and value of the standards. Educational Measurement: Issues and Practice, 33, 39–41.
Maul, A. (2018). Validity. In B. Frey (Ed.), The SAGE encyclopedia of educational research, measurement, and evaluation (pp. 1771–1775). Thousand Oaks, CA: SAGE Publications.
Maul, A., Torres Irribarra, D., & Wilson, M. (2016). On the philosophical foundations of psychological measurement. Measurement, 79, 311–320.
McGrane, J. (2015). Stevens’ forgotten crossroads: The divergent measurement traditions in the
physical and psychological sciences from the mid-twentieth century. Frontiers in Psychology,
6, 431.
McGrane, J., & Maul, A. (2020). The human sciences, models and metrological mythology.
Measurement, 152. https://doi.org/10.1016/j.measurement.2019.107346
Messick, S. (1989). Validity. In R. L. Linn (Ed.), Educational measurement (3rd ed., pp. 13–103).
New York: American Council on Education/Macmillan.
Michell, J. (1990). An introduction to the logic of psychological measurement. New York:
Psychology Press.
Michell, J. (1997). Quantitative science and the definition of measurement in psychology. British
Journal of Psychology, 88, 355–383.
Michell, J. (1999). Measurement in psychology: A critical history of a methodological concept.
Cambridge: Cambridge University Press.
Michell, J. (2004). Item response models, pathological science and the shape of error: Reply to
Borsboom and Mellenbergh. Theory & Psychology, 14, 121.
Michell, J. (2005). The logic of measurement: A realist overview. Measurement, 38(4), 285–294.
Michell, J. (2009). Invalidity in validity. In R.W. Lissitz (Ed.), The concept of validity: Revisions,
new directions and applications (pp. 135–170). Charlotte, NC: Information Age Publishing.
Mislevy, R. J. (2018). Sociocognitive foundations of educational measurement. New York:
Routledge.
Molenaar, P. C. M., & Von Eye, A. (1994). On the arbitrary nature of latent variables. In A. von Eye
& C. C. Clegg (Eds.), Latent variables analysis. Thousand Oaks, CA: Sage.
Moss, P. A. (1994). Can there be validity without reliability? Educational Researcher, 23(2), 5–12.
Narens, L. (1985). Abstract measurement theory. Cambridge, MA: MIT Press.
Narens, L. (2002). Theories of meaningfulness. Mahwah, NJ: Lawrence Erlbaum.
Narens, L., & Luce, R. (1986). Measurement: The theory of numerical assignments. Psychological
Bulletin, 99(2), 166–180.
Neurath, O., Hahn, H., & Carnap, R. (1973). The scientific conception of the world: The Vienna
circle. Empiricism and sociology. Boston, MA: Reidel.
Newton, P. E. (2012). Clarifying the consensus definition of validity. Measurement: Interdisciplinary
Research & Perspectives, 10(1–2), 1–29.
4 Philosophical perspectives on measurement