A battery-resistor analogy for further insights on measurement uncertainties

@article{deSousa2018ABA,
  title={A battery-resistor analogy for further insights on measurement uncertainties},
  author={Gabriel L A de Sousa and George C. Cardoso},
  journal={Physics Education},
  year={2018},
  volume={53}
}
We use analogies to provide introductory laboratory students intuition into measurement uncertainties. Using a battery-resistor circuit we discuss uncertainty concepts and derive expressions for uncertainty of the mean and sums of uncertainties. Finally, we draw attention to the fact that the interpretation of standard deviation as uncertainty depends on the statistical distribution of the data, while the interpretation of uncertainty of the mean is largely insensitive to such distribution… 

References

SHOWING 1-10 OF 17 REFERENCES
Measurements and their Uncertainties: A practical guide to modern error analysis
TLDR
This hands-on guide is primarily intended to be used in undergraduate laboratories in the physical sciences and engineering and introduces the necessary concepts where needed, with key points illustrated with worked examples and graphic illustrations.
Evolution of modern approaches to express uncertainty in measurement
TLDR
It is hoped this discussion will lead to a more effective use of the GUM and the draft GUM-S1 and stimulate investigations leading to further improvements in the methods to quantify uncertainty in measurement.
Teaching Measurement in the Introductory Physics Laboratory
Traditionally physics laboratory courses at the freshman level have aimed to demonstrate various principles of physics introduced in lectures. Experiments tend to be quantitative in nature with
Analogy between mechanics and electricity
The dissipative transport of energy is described in the momentum current picture. This picture provides a local-causes approach to mechanics whereby forces are considered as momentum currents. In
Teaching Measurement and Uncertainty the GUM Way
This paper describes a course aimed at developing understanding of measurement and uncertainty in the introductory physics laboratory. The course materials, in the form of a student workbook, are
The Fundamental Physical Constants and the Frontier of Measurement
B W Petley 1984 Bristol: Adam Hilger x + 346 pp price £28.50 (IOP members' price £22.80) ISBN 0 85274 427 7 This book examines the present state of our physical knowledge, mostly from the
The development of first year physics students' ideas about measurement in terms of point and set paradigms
The ideas of first year university students about measurement in the physics laboratory are explored. Student responses to written probes administered at the beginning of the year are compared to
Point and Set Reasoning in Practical Science Measurement by Entering University Freshmen.
The procedural understanding of university students at the freshman level, prior to instruction, has been investigated in the context of experimental work in physics. A written instrument was used to
Teaching the concepts of measurement: An example of a concept-based laboratory course
For students to successfully complete an experiment, they must have an understanding of measurement and its related uncertainty. We argue for teaching the concepts of measurement and not only the
Analysis of analogies used by science teachers
Science teachers use analogies that display a rich variety of form and content. An account of science teacher analogies that relies solely on systems of analysis imported from other fields of inquiry
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