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Randall D Penfield

Publications and source records attributed to Randall D Penfield.

5 recordsLinked to original sources

An alternative to Cohen's standardized mean difference effect size: a robust parameter and confidence interval in the two independent groups case.

The authors argue that a robust version of Cohen's effect size constructed by replacing population means with 20% trimmed means and the population standard deviation with the square root of a 20% Winsorized variance is a better measure of population separation than is Cohen's effect size. The authors investigated coverage probability for confidence intervals for the new effect size measure. The confidence intervals were constructed by using the noncentral t distribution and the percentile bootstrap. Over the range of distributions and effect sizes investigated in the study, coverage probability was better for the percentile bootstrap confidence interval.

Analysis of Variance↗

Using the score method to construct asymmetric confidence intervals: an SAS program for content validation in scale development.

Expert review sessions are often conducted to determine the content validity of scale items. The accurate quantification of content validity is usually limited by a relatively small number of experts as well as by a small number of rating categories. These factors, combined with the bounded and discrete nature of rating scale categories, hinder use of traditional methods for computing standard errors and confidence intervals. Using an application of the score method, researchers can construct an asymmetric interval that is better suited for these situations. SAS code is provided to automate the computations, and a discussion of two methods for using the obtained results for content validation decision-making follows.

Behavioral Sciences↗

Unique properties of Rasch model item information functions.

The Rasch family of models displays several well-documented properties that distinguish them from the general item response theory (IRT) family of measurement models. This paper describes an additional unique property of Rasch models, referred to as the property of item information constancy. This property asserts that the area under the information function for Rasch models is always equal to the number of response categories minus one, regardless of the values of the item location parameters. The implication of the property of item information constancy is that, for a given number of response categories, all items following a Rasch model contribute equally to the height of the test information function across the entire latent continuum.

Data Interpretation, Statistical↗

The impact of model misfit on partial credit model parameter estimates.

The partial credit model (PCM) is commonly employed to parameterize items and individuals using responses to a set of polytomous items. Because the PCM does not include a discrimination parameter, it may encounter substantial lack of fit to the data in certain situations. To determine the impact of model misfit on the estimation of person and item parameters using the PCM, a simulation study was conducted in which data were generated according to the generalized partial credit model, and the bias and efficiency of the resulting person and item parameter estimates were assessed. The results suggest that small amounts of unsystematic misfit do not lead to dramatic levels of bias or loss of efficiency of the estimators, but large levels of unsystematic misfit and moderate levels of systematic misfit result in substantial loss of efficiency and bias of the estimators.

Humans↗

A score method of constructing asymmetric confidence intervals for the mean of a rating scale item.

This article presents a generalization of the Score method of constructing confidence intervals for the population proportion (E. B. Wilson, 1927) to the case of the population mean of a rating scale item. A simulation study was conducted to assess the properties of the Score confidence interval in relation to the traditional Wald (A. Wald, 1943) confidence interval under a variety of conditions, including sample size, number of response options, extremeness of the population mean, and kurtosis of the response distribution. The results of the simulation study indicated that the Score interval usually outperformed the Wald interval, suggesting that the Score interval is a viable method of constructing confidence intervals for the population mean of a rating scale item.

Confidence Intervals↗