With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number-correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real-number item…

The binomial distribution is used to predict the winner of the 49th International Shooting Sport Federation World Championship in double trap shooting held in 2006 in Zagreb, Croatia. The outcome of the competition was definitely unexpected.

Following an exploratory factor analysis, factor scores may be computed and used in subsequent analyses. Factor scores are composite variables which provide information about an individual's placement on the factor(s). This article discusses popular methods to create factor scores under two different classes: refined and non-refined. Strengths and…

Many univariate statistical methods, such as the analysis of variance, t-test, and regression, assume that the dependent variable data have a univariate normal distribution (Hinkle, Weirsma, and Jurs, 1998). Various other statistical methods assume that the error scores are normally distributed (Thompson, 1992). Violating this assumption can be…

Many univariate statistical methods assume that dependent variable data have a univariate distribution. Some statistical methods assume that the error scores are normally distributed. It is clear that the concept of data normality is an important one in statistics. This paper explains that, notwithstanding common misconceptions to the contrary,…

This article demonstrates that the lower bound for the most deviant Z score and the upper bound for the sample standard deviation are attained simultaneously.

Describes a Windows program for checking the suitability of unidimensional logistic item response models for binary and ordered polytomous responses with respect to a given set of data. The program is based on predicting the observed test score distributions from the item characteristic curves. (SLD)

Illustrates a number of ways in which confidence intervals for reliability coefficients can be estimated. Suggests that authors who submit articles to "Educational and Psychological Measurement" report confidence intervals for reliability estimates whenever they report score reliabilities and that they note the interval estimation…

Describes the process used to produce the conversions that take scores from the original Scholastic Assessment Test (SAT) scales to recentered scales in which the reference group scores are centered near the midpoint of the score-reporting range. Also describes the performance of the 1990 reference group and discusses issues related to…

The passage of the No Child Left Behind Act and subsequent regulations have challenged state education agencies (SEAs) in many ways and ensuring the appropriate inclusion of students with disabilities has been a unique challenge. The recent publication of regulations on alternate assessments with alternate achievement standards (34 CFR Part 200)…

Designed to assist school jurisdictions in interpreting their achievement test results, this report describes the achievement testing program in Alberta, Canada, and indicates the conditions for student exemption from testing. It explains the Grade 3 English Language Arts Achievement Test design and development, gives a description of the test…

This report consists almost entirely of tables that provide mean scores on the Scholastic Aptitude Test (SAT) and College Board Achievement Tests for New York high school seniors in 1991 and summarize information that students have provided about their high school academic achievement and their personal backgrounds. Tables are based on the latest…