The subject of uncertainties (sometimes called errors) is traditionally taught (to first-year science undergraduates) towards the end of a course on statistics that defines probability as the limit of many trials, and discusses probability distribution functions and the Gaussian distribution. We show how to introduce students to the concepts of…

This paper develops an empirical occupational choice model that corrects for misclassification in occupational choices and measurement error in occupation-specific work experience. The model is used to estimate the extent of measurement error in occupation data and quantify the bias that results from ignoring measurement error in occupation codes…

This study investigated the possibility that apparent sex differences in IQ are at least partly created by the degree of sample restriction from the baseline population. We used a nationally representative sample, the 1970 British Cohort Study. Sample sizes varied from 6518 to 11,389 between data-collection sweeps. Principal components analysis of…

A simple algorithm for computing the partial fraction expansions of proper rational functions with multiple poles is presented. The main idea is to use the Heaviside's cover-up technique to determine the numerators of the partial fractions and polynomial divisions to reduce the multiplicities of the poles involved successively, without the use of…

This work presents an introductory development of fractional order derivatives and their computations. Historical development of fractional calculus is discussed. This paper presents how to obtain computational results of fractional order derivatives for some elementary functions. Computational results are illustrated in tabular and graphical…

A simple method based on the moment of forces and Archimedes' principle is described for finding density without measuring the mass and volume of an object. The method involves balancing two unknown objects of masses M[subscript 1] and M[subscript 2] on each side of a pivot on a metre rule and measuring their corresponding moment arms. The object…

In 3 experiments, the authors compared duration judgments of filled stimuli (tones) with unfilled ones (intervals defined by clicks or gaps in tones). Temporal generalization procedures (Experiment 1) and verbal estimation procedures (Experiments 2 and 3) all showed that subjective durations of the tones were considerably longer than those of…

Converting between degrees Celsius and degrees Fahrenheit isn't difficult. Remembering when to multiply by 5/9 or 9/5 and whether you have to add 32 or subtract 32 makes it fairly easy. Sometimes, though, fairly easy isn't easy enough. Students have trouble remembering the order of operations: "Do I add or subtract 32, and is that before or after…

The estimation of nonlinear structural models is not trivial. One reason for this is that a closed form solution of the likelihood may not be feasible or does not exist. We propose to estimate nonlinear structural models using the efficient method of moments, as generating data according to the models is often very easy. A simulation study of the…

This paper further explores the analytic connections between three commonly used statistical measures of agreement for 2 x 2 contingency tables: sensitivity, specificity, and the kappa coefficient, which are often employed in evaluating diagnostic tests. In particular, for a given fixed kappa the corresponding locus of minimum values of…

This paper is one of a collection of papers written by the Academic Senate for California Community Colleges (ASCCC) to support the use of content review as the basis for establishing communication and computation prerequisites. "Student Success: The Case for Establishing Prerequisites Through Content Review" was adopted at the Fall 2010…

This author became intrigued by the idea that her generation, who had grown up reaping the benefits of second-wave feminism, might differ from previous generations in their attitudes toward women. What was unclear was how this period of progress might have combined with feminist backlash in affecting subsequent generations' responses to typical…

The purpose of this research is to describe and understand the ways in which deaf middle school students understood and solved compare word problems, and to examine their overall strategy use in learning mathematics. The participants in the study were deaf middle school students, attending a residential state school for the deaf. Most of them used…

The 2001 No Child Left Behind Act required states to report graduation rates as a condition of high school accountability for receipt and use of federal Title I funds, and to set growth targets that would ensure all students graduate from high school. It also reaffirmed the long-standing national policy that graduation rates be used as the…

It is estimated that 50% of beginning teachers leave the profession within the first five years on the job (Murnane, Singer, Willett, Kemple, & Olsen, 1991; Colbert & Wolff, 1992; Ingersoll, 2003b; Schlechty & Vance, 1981). When teachers depart, they take with them their knowledge of instructional techniques, students' learning styles, and…