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Fan, Xitao; Yin, Ping – 2001
The literature on measurement reliability shows the consensus that group heterogeneity with regard to the trait being measured is a factor that affects the sample measurement reliability, but the degree of such effect is not entirely clear. Sample performance also has the potential to affect measurement reliability because of its effect on the…
Descriptors: Error of Measurement, Measurement Techniques, Reliability, Sample Size
Fan, Xitao – 1999
This paper suggests that statistical significance testing and effect size are two sides of the same coin; they complement each other, but do not substitute for one another. Good research practice requires that both should be taken into consideration to make sound quantitative decisions. A Monte Carlo simulation experiment was conducted, and a…
Descriptors: Decision Making, Effect Size, Monte Carlo Methods, Research Methodology
Fan, Xitao; Chen, Michael – 1999
The idea that parental involvement has a positive influence on students' academic achievement is so intuitively appealing that society in general, and educators in particular, have considered parental involvement as the remedy for many problems in education. The vast proportion of the literature in this area, however, is qualitative without…
Descriptors: Academic Achievement, Academic Aspiration, Elementary Secondary Education, Expectation
Fan, Xitao; Chen, Michael – 1999
It is erroneous to extend or generalize the inter-rater reliability coefficient estimated from only a (small) proportion of the sample to the rest of the sample data where only one rater is used for scoring, although such generalization is often made implicitly in practice. It is shown that if inter-rater reliability estimate from part of a sample…
Descriptors: Estimation (Mathematics), Generalizability Theory, Interrater Reliability, Sample Size
Fan, Xitao – 1995
This paper, in a fashion easy to follow, illustrates the interesting relationship between structural equation modeling and canonical correlation analysis. Although computationally somewhat inconvenient, representing canonical correlation as a structural equation model may provide some information which is not available from conventional canonical…
Descriptors: Comparative Analysis, Correlation, Mathematical Models, Research Methodology
Wang, Lin; Fan, Xitao – 1997
Standard statistical methods are used to analyze data that is assumed to be collected using a simple random sampling scheme. These methods, however, tend to underestimate variance when the data is collected with a cluster design, which is often found in educational survey research. The purposes of this paper are to demonstrate how a cluster design…
Descriptors: Cluster Analysis, Educational Research, Error of Measurement, Estimation (Mathematics)
Fan, Xitao; Wang, Lin – 1998
The Monte Carlo study compared the performance of predictive discriminant analysis (PDA) and that of logistic regression (LR) for the two-group classification problem. Prior probabilities were used for classification, but the cost of misclassification was assumed to be equal. The study used a fully crossed three-factor experimental design (with…
Descriptors: Classification, Comparative Analysis, Monte Carlo Methods, Probability
Fan, Xitao; And Others – 1997
A Monte Carlo study was conducted to assess the effects of some potential confounding factors on structural equation modeling (SEM) fit indices and parameter estimates for both true and misspecified models. The factors investigated were data nonnormality, SEM estimation method, and sample size. Based on the fully crossed and balanced 3x3x4x2…
Descriptors: Estimation (Mathematics), Goodness of Fit, Mathematical Models, Monte Carlo Methods
Fan, Xitao – 1992
This paper focuses on three aspects related to the conceptualization and application of canonical correlation analysis as a dominant statistical model: (1) partial canonical correlation analysis and its application in statistical testing; (2) the relation between canonical correlation analysis and discriminant analysis; and (3) the relation…
Descriptors: Chi Square, Classification, Computer Oriented Programs, Correlation
Fan, Xitao; Wang, Lin – 1995
The jackknife and bootstrap methods are becoming more popular in research. Although the two approaches have similar goals and employ similar strategies, information is lacking with regard to the comparability of their results. This study systematically investigated the issue for a canonical correlation analysis, using data from four random samples…
Descriptors: Comparative Analysis, Correlation, Monte Carlo Methods, Sample Size