In test equating, one critical equating property is the group invariance property which indicates that the equating function used to convert performance on each alternate form to the reporting scale should be the same for various subgroups. To mitigate the impact of disrupted learning on the item parameters during the COVID-19 pandemic, a…

This study aims to compare the performance of different small sample equating methods in the presence and absence of differential item functioning (DIF) in common items. In this research, Tucker linear equating, Levine linear equating, unsmoothed and pre-smoothed (C=4) chained equipercentile equating, and simplified circle arc equating methods…

Problem Statement: Equating can be defined as a statistical process that allows modifying the differences between test forms with similar content and difficulty so that the scores obtained from these forms can be used interchangeably. In the literature, there are many equating methods, one of which is Kernel equating. Trends in International…

Linking score scales across different tests is considered speculative and fraught, even at the aggregate level. We introduce and illustrate validation methods for aggregate linkages, using the challenge of linking U.S. school district average test scores across states as a motivating example. We show that aggregate linkages can be validated both…

The Trends in International Mathematics and Science Study (TIMSS) makes it possible to compare the performance of students in the US in Mathematics and Science to the performance of students in other countries. TIMSS uses four international benchmarks for describing student achievement: Low, Intermediate, High, and Advanced. In this study, we…

The purpose of this study is to equate Trends in International Mathematics and Science Study (TIMSS) mathematics subtest scores obtained from TIMSS 2011 to scores obtained from TIMSS 2007 form with different nonlinear observed score equating methods under Non-Equivalent Anchor Test (NEAT) design where common items are used to link two or more test…

The standard error of equating quantifies the variability in the estimation of an equating function. Because common items for deriving equated scores are treated as fixed, the only source of variability typically considered arises from the estimation of common-item parameters from responses of samples of examinees. Use of alternative, equally…

The purpose of this study was to examine the impact of dimensionality, common-item set format, and different scale linking methods on preserving equity property with mixed-format test equating. Item response theory (IRT) true-score equating (TSE) and IRT observed-score equating (OSE) methods were used under common-item nonequivalent groups design.…

We evaluated the reliability and validity of two oral reading fluency scores for 1-minute equated passages: median score and mean score. These scores were calculated from measures of reading fluency administered up to five times over the school year to students in grades six to eight (n = 1,317). Both scores were highly reliable with strong…

The purpose of this report is to describe the procedure for revising the ReadiStep™ score scale using the field trial data, and to provide technical information about the development of the new ReadiStep scale score. In doing so, this report briefly introduces the three assessments--ReadiStep, PSAT/NMSQT®, and SAT®--in the College Board Pathway…

This technical report provides detailed information regarding the technical, statistical, and measurement attributes of the New York State Testing Program (NYSTP) for the Grades 3-8 Common Core English Language Arts (ELA) and Mathematics 2016 Operational Tests. This report includes information about test content and test development, item (i.e.,…

When administering tests across grades, vertical scaling is often employed to place scores from different tests on a common overall scale so that test-takers' progress can be tracked. In order to be able to link the results across grades, however, common items are needed that are included in both test forms. In the literature there seems to be no…

Extreme linkings are performed in settings in which neither equivalent groups nor anchor material is available to link scores on two assessments. Examples of extreme linkages include links between scores on tests administered in different languages or between scores on tests administered across disability groups. The strength of interpretation…

This technical report provides detailed information regarding the technical, statistical, and measurement attributes of the New York State Testing Program (NYSTP) for the Grades 3-8 Common Core English Language Arts (ELA) and Mathematics 2015 Operational Tests. This report includes information about test content and test development, item (i.e.,…

This technical report provides detailed information regarding the technical, statistical, and measurement attributes of the New York State Testing Program (NYSTP) for the Grades 3-8 Common Core English Language Arts (ELA) and Mathematics 2014 Operational Tests. This report includes information about test content and test development, item (i.e.,…