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Dan Soriano; Eli Ben-Michael; Peter Bickel; Avi Feller; Samuel D. Pimentel – Grantee Submission, 2023
Assessing sensitivity to unmeasured confounding is an important step in observational studies, which typically estimate effects under the assumption that all confounders are measured. In this paper, we develop a sensitivity analysis framework for balancing weights estimators, an increasingly popular approach that solves an optimization problem to…
Descriptors: Statistical Analysis, Computation, Mathematical Formulas, Monte Carlo Methods
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El Hadi, M.; Ouariach, A.; Essaadaoui, R.; El Moussaouy, A.; Mommadi, O. – Physics Education, 2021
In this work, we have developed an alternative device composed by an Arduino board and an INA219 sensor to experimentally obtain the mathematical formulas describing the charge and discharge of the capacitor for educational proposes. We have obtained excellent agreement between theoretical prediction and experimental measurements. The INA219 DC…
Descriptors: Physics, Science Instruction, Accuracy, Reliability
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Gordon, Sheldon P.; Yang, Yajun – International Journal of Mathematical Education in Science and Technology, 2017
This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…
Descriptors: Mathematical Formulas, Algebra, Mathematics Activities, Error of Measurement
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Robertson, William C. – Science and Children, 2007
Using "error bars" on graphs is a good way to help students see that, within the inherent uncertainty of the measurements due to the instruments used for measurement, the data points do, in fact, lie along the line that represents the linear relationship. In this article, the author explains why connecting the dots on graphs of collected data is…
Descriptors: Graphs, Mathematical Formulas, Error of Measurement, Measurement
Searls, Donald T., Ed. – 1983
The purpose of this paper is to provide an overview of the analysis of data collected by the National Assessment of Educational Progress (NAEP). In simplest terms, the analysis can be characterized as establishing baseline estimates of the percentages of young Americans possessing certain skills, knowledge, understandings, and attitudes and…
Descriptors: Data Analysis, Data Collection, Databases, Educational Assessment