Determining the number of factors in exploratory factor analysis is arguably the most crucial decision a researcher faces when conducting the analysis. While several simulation studies exist that compare various so-called factor retention criteria under different data conditions, little is known about the impact of missing data on this process.…

The purposes of this manuscript are to identify common statistical mistakes in sport management, and to provide scholars with suggestions on how to develop and improve the quality of quantitative research. We have reviewed articles published from 2001 to 2017 in the "Journal of Sport Management," "Sport Management Review,"…

Sport management research has evolved significantly despite its relatively short history as an academic discipline. Although the pace of scholarly progress has been impressive, the extent to which many research efforts have aided sport management in becoming a distinct academic discipline is, at times, questionable. A major challenge many scholars…

Factor analysis has been frequently exploited in applied research to provide evidence about the underlying factors in various measurement instruments. A close inspection of a large number of studies published in leading applied linguistic journals shows that there is a misconception among applied linguists as to the relative merits of exploratory…

Critically examining common statistical approaches and their strengths and weaknesses is an important step in advancing recreation and leisure sciences. To continue this critical examination and to inform methodological decision making, this study compared three approaches to determine how alternative approaches may result in contradictory…

Researchers suggest that certain supportive behaviors of mentors could increase the benefits of school-based mentoring for youth. However, the literature contains few validated instruments to measure these behaviors. In our present study, we aimed to construct and validate a tool to measure the supportive behaviors of mentors participating in…

This article investigates the quality of social scientific listening research that reports numerical data to substantiate claims appearing in the "International Journal of Listening" between 1987 and 2011. Of the 225 published articles, 100 included one or more studies reporting numerical data. We frame our results in terms of eight…

The fundamental problems that ipsative measures impose for factor analysis are shown analytically. Normative and ipsative correlation matrices are used to show that the factor pattern induced by ipsativity will overwhelm any factor structure seen with normative factor analysis, making factor analysis not interpretable. (SLD)

The epistemological status of factors--that is, components, common factors, and image factors--is briefly discussed. Implications for the number of factors problem of varying views of factor analysis and the particular factor analytic model employed are noted, and the rationales underlying the best known decision rules regarding the correct number…

The partial correlation coefficient is derived analytically under exemplary factor patterns. In these patterns, variables are described as an additive composition of a set of orthogonal factors, including general, common, and specific factors. Viewed in this framework, it is evident that the partial correlation may yield spurious results.…

Offers suggestions for proper procedures for authors to use--and some pitfalls to avoid--when writing studies using factor analysis methods. Discusses distinctions among different methods of analysis, the adequacy of factor structure, and other notes of caution. Encourages authors to ensure that their research is statistically sound. (RJM)

A limitation of the principal components method is its scale dependence. This note shows that the method is scale invariant if the normalization is modified in an obvious way. Then the effect of a change in units is as transparent as in linear regression, and principal components can be used without apology. Most researchers who use multivariate…

A population data set was randomly generated from which a random sample was drawn. This sample was randomly divided into two data sets, one of which was used to generate parameter estimates, which were then used in the second data set for cross-validation purposes. The best variable subset models were compared between the two data sets on the…

Addressing a common problem in the analysis of social networks, this study describes quantitative techniques for identifying social subgroups using individual perceptions of social affinities within natural groups. Compared are four analytic methods for abstracting composite representations of sub-structures. These methods, formally evaluated…

This paper discusses the problems of gathering and analyzing data on classroom behaviors. The difficulties involved in using the common pretest-posttest experimental design are described. To grapple with these problems, a study was conducted on the effect of environmental changes on student behavior, employing a time-series design and time-series…