This paper discusses the assumptions required by the item response theory (IRT) true-score equating method (with Stocking & Lord, 1983; scaling approach), which is commonly used in the nonequivalent groups with an anchor data-collection design. More precisely, this paper investigates the assumptions made at each step by the IRT approach to…

This paper focuses on the Non-Equivalent Groups with Anchor Test (NEAT) design for test equating and on two classes of observed--score equating (OSE) methods--chain equating (CE) and poststratification equating (PSE). These two classes of methods reflect two distinctly different ways of using the information provided by the anchor test for…

This book is written for coaches of secondary school students involved in mathematics contests. Benefits, of contests and suggestions for coaching mathematics contests are described. Sample questions are presented for the following contests: (1) Open categories, written competition; (2) Identified topics written competition; (3) Eight-person team…

The validity of the analysis of variance (ANOVA) of a split plot factorial design was investigated using a complex interaction contrast with matched two-group ability data for detecting biased items. The definition of a biased item by this method is: an item is biased if there is an item-by-group interaction when there is no group difference in…

In order to determine the effectiveness of multidimensional scaling (MDS) in recovering the dimensionality of a set of dichotomously-scored items, data were simulated in one, two, and three dimensions for a variety of correlations with the underlying latent trait. Similarity matrices were constructed from these data using three margin-sensitive…

This test item bank on welding contains test questions based upon competencies found in the Missouri Welding Competency Profile. Some test items are keyed for multiple competencies. These criterion-referenced test items are designed to work with the Vocational Instructional Management System. Questions have been statistically sampled and validated…

Two modification formulas are presented for the test information function in order to provide better measures of local accuracies of the estimation of "theta" when maximum likelihood estimation is used to provide the estimate of ability "theta." A minimum bound of any estimator, biased or unbiased, is considered; and Formula 1…

The purpose of this research was to reinvestigate the accuracy of three item bias detection procedures: (1) Linn and Harnisch's pseudo-IRT(Z) method; (2) Camilli's chi-square technique; and (3) Angoff's revised transformed item difficulty method. These methods are applied when the minority group sample size is too small to obtain stable estimates…

Attitude measures frequently produce distributions of item scores that attenuate interitem correlations and thus also distort findings regarding the factor structure underlying the items. An actual data set involving 260 adult subjects' responses to 55 items on the Love Relationships Scale is employed to illustrate empirical methods for…

This study used generalizability theory and other statistical concepts to assess the application of the Angoff method to setting cutoff scores on two professional certification tests. A panel of ten judges gave pre- and post-feedback Angoff probability ratings of items of two forms of a professional certification test, and another panel of nine…

Background information on the testing program, administration details, and a description of the test are provided. The test, intended for administration in June 1986 to third-grade students in Alberta, Canada, consists of two sections. Section 1 is divided into two parts. Part A contains 25 questions covering numeration, geometry, and graphing; 12…

The passage dependence of an item refers to the degree to which it is necessary to read the associated passage in order to be able to answer that item correctly. This paper studies the value of obtaining data about passage dependence in the construction of reading comprehension achievement tests. Passage dependence indices were examined in several…

It is important to estimate the number of examinees who reached a test item, because item difficulty is defined by the number who answered correctly divided by the number who reached the item. A new method is presented and compared to the previously used definition of three categories of response to an item: (1) answered; (2) omitted--a…

This guide contains 285 test items for use in teaching a course in computerized numerical control. All test items were reviewed, revised, and validated by incumbent workers and subject matter instructors. Items are provided for assessing student achievement in such aspects of programming and planning, setting up, and operating machines with…

This report investigates the selection of appropriate texts for C-Tests, a modified form of the cloze test, for assessing second language learning. The procedure for textbook readability first involved the administration of different texts to sample groups to determine the C-test difficulty of individual texts. At the same time, a variety of…