Objective: We would like to determine whether electrotherapy, specifically microcurrent therapy, increases function and decreases pain in people who have acute knee pain. Design: Randomized, double-blinded, placebo-controlled clinical trial. Setting: University laboratory and patient home. Subjects: A total of 52 subjects (35 females and 17 males) with acute knee pain. Intervention: Treatment group ( n = 26) wore the active microcurrent therapy device at home for 3 hours per day for 4 weeks and the control group ( n = 26) wore the placebo for 3 hours per day for 4 weeks. Main Measures: Numeric Pain Rating Scale (NPRS) and Short Form 12 (SF-12) health scale were used to measure the pain level and the functionality of the participants. Secondary assessments included musculoskeletal ultrasound imaging (MSK US) and Lower Extremity Functional Scale (LEFS). Results: A total of 52 subjects completed the study; 26 in the treatment group and 26 in the control group. Microcurrent therapy significantly reduced pain over 4 weeks. Especially week three was significant ( P < 0.01) after adjusting for the family-wise error rate. The analysis on SF-12 revealed those with microcurrent therapy showed an increasing trend in the improvement of physical function score until week three. Conclusion: An active microcurrent therapy device decreased knee pain and increased function. Microcurrent therapy may be an alternative or used with a pharmacological approach for people with acute knee pain.

Over two semesters short essay prompts were developed for use with the Graphical Interface for Knowledge Structure (GIKS), an automated essay scoring system. Participants were students in an undergraduate-level online introductory statistics course. The GIKS compares students' writing samples with an expert's to produce keyword occurrence and links in common scores which can be used to construct a visual representation of an individual's knowledge structure. Each semester, students responded to the same two essay prompts during the first and last week of the course. All responses were scored by the GIKS and two instructors. Evidence for the validity of scores obtained using the GIKS was provided through the use of correlations with instructors' scores and final exam scores. Changes in scores from the beginning to end of the course were examined. Suggestions for writing open-ended prompts that work well with computer-automated scoring systems are given as well as suggestions for using the GIKS as a formative learning activity as opposed to summative assessment.

No abstract

In this work we consider the problem of estimating function-onscalar regression models when the functions are observed over multidimensional or manifold domains and with potentially multivariate output. We establish the minimax rates of convergence and present an estimator based on reproducing kernel Hilbert spaces that achieves the minimax rate. To better interpret the derived rates, we extend well-known links between RKHS and Sobolev spaces to the case where the domain is a compact Riemannian manifold. This is accomplished using an interesting connection to Weyl's Law from partial differential equations. We conclude with a numerical study and an application to 3D facial imaging.1. Introduction. Functional data analysis has seen a precipitous development in recent decades, in terms of methodology, theory, and applications. As with classical statistics, functional linear regression models are used extensively in practice. In recent years, there has also been a surge in the development of so-called next generation functional data analysis, which involves functional data with highly complex structures. Much of this development has been spurred by advances in biomedical imaging, where dense measurements are taken over various tissues, including the brain,

No abstract