David Andrich
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View article: Equating Measuring Instruments in the Social Sciences: Applying Measurement Principles of the Natural Sciences
Equating Measuring Instruments in the Social Sciences: Applying Measurement Principles of the Natural Sciences Open
The concept of measurement in which the magnitude of a property is quantified in a common unit relative to a specified origin is a deep abstraction. This chapter shows the application of measurement in a social science context where the mo…
View article: The Trade-Off between Model Fit, Invariance, and Validity: The Case of PISA Science Assessments
The Trade-Off between Model Fit, Invariance, and Validity: The Case of PISA Science Assessments Open
In large-scale educational assessments, it is generally required that tests are composed of items that function invariantly across the groups to be compared. Despite efforts to ensure invariance in the item construction phase, for a range …
View article: Exemplifying natural science measurement in the social sciences with Rasch measurement theory
Exemplifying natural science measurement in the social sciences with Rasch measurement theory Open
This paper presents a social science example of measurement in which the integer count from a convenient origin is shown to be in equal units. This feature is identical to direct measurement in the natural sciences. The example rests on ap…
View article: On an identity between the Gaussian and Rasch measurement error distributions: making the role of the instrument explicit
On an identity between the Gaussian and Rasch measurement error distributions: making the role of the instrument explicit Open
The paper shows an identity between the Gaussian error distribution of replicated measurements and the Rasch model error distribution of inferred, replicated assessments in ordered categories when the thresholds defining the categories are…
View article: On a law of ordinal error
On a law of ordinal error Open
When no systematic factor disturbs replicated measurements of the same entity with the same instrument, the observed or inferred distribution is expected to satisfy the Gaussian law of measurement error. A characteristic of this distributi…
View article: A Law of Comparative Preference: Distinctions Between Models of Personal Preference and Impersonal Judgment in Pair Comparison Designs
A Law of Comparative Preference: Distinctions Between Models of Personal Preference and Impersonal Judgment in Pair Comparison Designs Open
The pair comparison design for distinguishing between stimuli located on the same natural or hypothesized linear continuum is used both when the response is a personal preference and when it is an impersonal judgment. Appropriate models wh…
View article: Georg Rasch and Benjamin Wright’s Struggle With the Unidimensional Polytomous Model With Sufficient Statistics
Georg Rasch and Benjamin Wright’s Struggle With the Unidimensional Polytomous Model With Sufficient Statistics Open
This article reproduces correspondence between Georg Rasch of The University of Copenhagen and Benjamin Wright of The University of Chicago in the period from January 1966 to July 1967. This correspondence reveals their struggle to operati…