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Estimating the Effect of Changes in Criterion Score Reliability on the Power of the "F" Test of Equality of Means
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Feldt, Leonard S. – Educational and Psychological Measurement, 2011
This article presents a simple, computer-assisted method of determining the extent to which increases in reliability increase the power of the "F" test of equality of means. The method uses a derived formula that relates the changes in the reliability coefficient to changes in the noncentrality of the relevant "F" distribution. A readily available…
Descriptors: Scores, Reliability, Statistical Analysis, Change
The Estimation of the IRT Reliability Coefficient and Its Lower and Upper Bounds, with Comparisons to CTT Reliability Statistics
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Kim, Seonghoon; Feldt, Leonard S. – Asia Pacific Education Review, 2010
The primary purpose of this study is to investigate the mathematical characteristics of the test reliability coefficient rho[subscript XX'] as a function of item response theory (IRT) parameters and present the lower and upper bounds of the coefficient. Another purpose is to examine relative performances of the IRT reliability statistics and two…
Descriptors: Testing, Test Reliability, Statistics, Item Response Theory
Estimating Test Score Reliability When No Examinee Has Taken the Complete Test.
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Feldt, Leonard S. – Educational and Psychological Measurement, 2003
Develops formulas to cope with the situation in which the reliability of test scores must be approximated even though no examinee has taken the complete instrument. Develops different estimators for part tests that are judged to be classically parallel, tau-equivalent, or congeneric. Proposes standards for differentiating among these three models.…
Descriptors: Estimation (Mathematics), Reliability, Scores, Test Results
Reliability Estimation When a Test Is Split into Two Parts of Unknown Effective Length.
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Feldt, Leonard S. – Applied Measurement in Education, 2002
Considers the situation in which content or administrative considerations limit the way in which a test can be partitioned to estimate the internal consistency reliability of the total test score. Demonstrates that a single-valued estimate of the total score reliability is possible only if an assumption is made about the comparative size of the…
Descriptors: Error of Measurement, Reliability, Scores, Test Construction
Estimating the Reliability of Dichotomous or Trichotomous Scores
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Feldt, Leonard S. – Educational and Psychological Measurement, 2005
To meet the requirements of the No Child Left Behind Act, school districts and states must compile summary reports of the levels of student achievement in reading and mathematics. The levels are to be described in broad categories: "basic and below," "proficient," or "advanced." Educational units are given considerable latitude in defining the…
Descriptors: Federal Legislation, Academic Achievement, Test Items, Test Validity
Testing the Difference between Two Alpha Coefficients with Small Samples of Subjects and Raters
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Feldt, Leonard S.; Kim, Seonghoon – Educational and Psychological Measurement, 2006
Researchers sometimes need a statistical test of the hypothesis that two values of Cronbach's alpha reliability coefficient are equal. The situation may involve scores from two different measures administered to independent random samples or from the same measure administered to random samples from two different populations. Feldt derived a test…
Descriptors: Individual Testing, Test Items, Sample Size, Scores