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Peer reviewed Peer reviewed
Zoppe, Alice; Buu, Yuh-Pey Anne; Flury, Bernard – Journal of Educational and Behavioral Statistics, 2001
Presents an application of the EM-algorithm to two problems of estimation and testing in a multivariate normal distribution with missing data. The two models are tested applying the log-likelihood ratio test. Solves the problem of different and nonmonotone patterns of missing data by introducing suitable transformations and partitions of the data…
Descriptors: Estimation (Mathematics), Multivariate Analysis, Statistical Distributions
George, Carrie A. – 2001
Multivariate techniques have been implemented with greater and greater frequency. In order to use multivariate techniques researchers must understand the fundamental assumptions. The purpose of this paper is to evaluate one of the assumptions of multivariate analysis, normality. Overall, normal distributions are unimodal and symmetrical, and they…
Descriptors: Estimation (Mathematics), Evaluation Methods, Multivariate Analysis, Statistical Distributions
Lewis, Charla P. – 1999
The sampling distribution is a common source of misuse and misunderstanding in the study of statistics. The sampling distribution, underlying distribution, and the Central Limit Theorem are all interconnected in defining and explaining the proper use of the sampling distribution of various statistics. The sampling distribution of a statistic is…
Descriptors: Estimation (Mathematics), Probability, Sample Size, Sampling
Peer reviewed Peer reviewed
Fan, Xitao; Thompson, Bruce – Educational and Psychological Measurement, 2001
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…
Descriptors: Estimation (Mathematics), Reliability, Research Reports, Scores
Rennie, Kimberly M. – 1997
This paper explains the underlying assumptions of the sampling distribution and its role in significance testing. To compute statistical significance, estimates of population parameters must be obtained so that only one sampling distribution is defined. A sampling distribution is the underlying distribution of a statistic. Sampling distributions…
Descriptors: Analysis of Variance, Estimation (Mathematics), Sample Size, Sampling
Veldkamp, Bernard P.; van der Linden, Wim J. – 1999
A method of item pool design is proposed that uses an optimal blueprint for the item pool calculated from the test specifications. The blueprint is a document that specifies the attributes that the items in the computerized adaptive test (CAT) pool should have. The blueprint can be a starting point for the item writing process, and it can be used…
Descriptors: Ability, Adaptive Testing, Classification, Computer Assisted Testing