The main purpose of this study is to improve estimation efficiency in obtaining maximum marginal likelihood estimates of contextual effects in the framework of nonlinear multilevel latent variable model by adopting the Metropolis-Hastings Robbins-Monro algorithm (MH-RM). Results indicate that the MH-RM algorithm can produce estimates and standard…

The main purpose of this study is to improve estimation efficiency in obtaining maximum marginal likelihood estimates of contextual effects in the framework of nonlinear multilevel latent variable model by adopting the Metropolis-Hastings Robbins-Monro algorithm (MH-RM; Cai, 2008, 2010a, 2010b). Results indicate that the MH-RM algorithm can…

This article proposes that sampling design effects have potentially huge unrecognized impacts on the results reported by large-scale district and state assessments in the United States. When design effects are unrecognized and unaccounted for they lead to underestimating the sampling error in item and test statistics. Underestimating the sampling…

Sampling errors limit the accuracy with which forms can be linked. Limitations on accuracy are especially important in testing programs in which a very large number of forms are employed. Standard inequalities in mathematical statistics may be used to establish lower bounds on the achievable inking accuracy. To illustrate results, a variety of…

The work reported in this paper reflects a collaborative effort of many individuals representing multiple organizations. It began during a session at the October 2008 meeting of TILSA when a representative of a member state asked the group if any of their programs had experienced unexpected fluctuations in the annual state assessment scores, and…

This report examines the differences in impact estimates and standard errors that arise when these are derived using state achievement tests only (as pre-tests and post-tests), study-administered tests only, or some combination of state- and study-administered tests. State tests may yield different evaluation results relative to a test that is…

There has been little data collected on how much testing actually goes on in America's schools and how the results are used. So in the Spring of 2014, the Council staff developed and launched a survey of assessment practices. This report presents the findings from that survey and subsequent Council analysis and review of the data. It also offers…

In large-scale assessments, such as state-wide testing programs, national sample-based assessments, and international comparative studies, there are many steps involved in the measurement and reporting of student achievement. There are always sources of inaccuracies in each of the steps. It is of interest to identify the source and magnitude of…

While school systems most often use achievement test results for individual appraisals, increasing attention to program evaluation and accountability requires that test results be used for institutional appraisals as well. When institutional test results are desired--that is, results for schools or school districts--not all pupils need be tested.…

The discussion here covers five articles that are linked in the sense that they all treat population invariance. This discussion of population invariance is a somewhat broader treatment of the subject than simply a discussion of these five articles. In particular, occasional reference is made to publications other than those in this issue. The…

The National Education Association's Task Force on Testing has stated its opinion that standardized tests are overused. The task force suggests that the application of sampling techniques and a variety of alternatives to current testing practices would accomplish the same purposes. Representatives of the testing industry have indicated that the…

Educational assessment and, more broadly, educational research in the United States have entered into an era characterized by a dramatic increase in the prevalence and importance of test score use in accountability systems. This volume covers a selection of contemporary issues about testing science and practice that impact the nation's public…

This article discusses the five studies included in this issue. Each article addressed the same topic, population invariance of equating. They all used data from major standardized testing programs, and they all used essentially the same statistics to evaluate their results, namely, the root mean square difference and root expected mean square…

The National Assessment of Educational Progress (NAEP) has completed two assessments of mathematics, the first conducted in 1972-73 and the second during 1977-78. Each assessment surveyed the mathematics achievement of American 9-, 13-, and 17-year-olds, using a deeply stratified, multi-stage probability sample design. This report documents…

Large sample standard errors for the Tucker method of linear equating under the common item nonrandom groups design are derived under normality assumptions as well as under less restrictive assumptions. Standard errors of Tucker equating are estimated using the bootstrap method described by Efron. The results from different methods are compared…