Entries by Nathan Thompson, PhD

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What is Item Response Theory (IRT)?

Item response theory (IRT) is a family of machine learning models in the field of psychometrics, which are used to design, analyze, validate, and score assessments.  It is a very powerful psychometric paradigm that allows researchers to build stronger assessments, whether they work in Education, Psychology, Human Resources, or other fields.  It also solves critical […]

Criterion-related validity

Criterion-related validity is evidence that test scores are related to other data which we expect them to be.  This is an essential part of the larger issue of test score validity, which is providing evidence that test scores have the meaning we intend them to have.  If you’ve ever felt that a test doesn’t cover […]

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What is Test Scaling?

Scaling is a psychometric term regarding the establishment of a score metric for a test, and it often has two meanings. First, it involves defining the method to operationally scoring the test, establishing an underlying scale on which people are being measured.  A common example is the T-score, which transforms raw scores into a standardized […]

What is a T score?

A T Score is a conversion of scores on a test to a standardized scale with a mean of 50 and standard deviation of 10.  This is a common example of a scaled score in psychometrics and assessment.  A scaled score is simply a way to present scores in a more meaningful and easier-to-digest context, […]

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What is the Spearman-Brown formula?

The Spearman-Brown formula, also known as the Spearman-Brown Prophecy Formula or Correction, is a method used in evaluating test reliability.  It is based on the idea that split-half reliability has better assumptions than coefficient alpha but only estimates reliability for a half-length test, so you need to implement a correction that steps it up to […]

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Validity Threats and Psychometric Forensics

Validity threats are issues with a test or assessment that hinder the interpretations and use of scores, such as cheating, inappropriate use of scores, unfair preparation, or non-standardized delivery.  It is important to establish a test security plan to define the threats relevant for you and address them. Validity, in its modern conceptualization, refers to […]