Estimating GPS Positional Error

Bill Witte

Univ. Alaska, Fairbanks

This activity has been reviewed by 2 review processes (view details)

This activity was selected for the On the Cutting Edge Reviewed Teaching Collection

This activity has received positive reviews in a peer review process involving five review categories. The five categories included in the process are
- Scientific Accuracy
- Alignment of Learning Goals, Activities, and Assessments
- Pedagogic Effectiveness
- Robustness (usability and dependability of all components)
- Completeness of the ActivitySheet web page
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This activity has benefited from input from faculty educators beyond the author through a review and suggestion process. This review took place as a part of a faculty professional development workshop where groups of faculty reviewed each others' activities and offered feedback and ideas for improvements. To learn more about the process On the Cutting Edge uses for activity review, see http://serc.carleton.edu/NAGTWorkshops/review.html.

Initial Publication Date: July 12, 2007 | Reviewed: October 31, 2012 (see revision history: 2 events)

Summary

Very simply and directly determine the x, y, z accuracy of the various GPS receivers using a simple method that doesn't use a lot of quantitative statistics and yields a gut-level sense of the accuracy of different systems.

Geodesy | College Introductory, College Lower (13-14)

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Context

Audience

We primarily use this exercise in an introductory field geophysics class for majors.
Designed for an introductory geology course

Skills and concepts that students must have mastered

Basic equipment skills: students must be able to reproducibly acquire positions with various GPS receivers at a known mark, digitally record the positions, and download to a pooled class spreadsheet in a consistent UTM format. Students must understand the UTM coordinate system and basic good GPS practice. Generally we do this project in MS Excel and it serves as an Excel warm-up or refresher exercise.

How the activity is situated in the course

Typically we use this very early in the syllabus.

Goals

Content/concepts goals for this activity

Students will acquire GPS positions and plot scatterplots the XY errors and histograms of the vertical errors. Students will tabulate the radial error from the pooled data and will determine the confidence interval for an individual measurement in XY and Z. Typically each student will acquire a 20 positions over a week, with a class size of ~15.

Higher order thinking skills goals for this activity

How to make reproducible measurements. Analyzing sources of error. What does a "confidence interval" mean?

Other skills goals for this activity

Description of the activity/assignment

After instructing students on basic receiver operation, each student will make many (10-20) position estimates of 3 benchmarks over a week. The different benchmarks will have different views of the skies or vegetation cover. Each student will download their data into a spreadsheet and calculate horizontal and vertical errors which are collated into a class spreadsheet. The positions are sorted by error and plotted in a cumulative frequency plot. The students are encouraged to discuss the distribution, sources of error, and estimate confidence intervals. This exercise gives the students a gut feeling for confidence intervals and the accuracy of data. Students are asked to compare results from different types of data and benchmarks with different views of the sky.

Uses online and/or real-time data
Has minimal/no quantitative component <BR> Addresses student fear of quantitative aspect and/or inadequate quantitative skills
Addresses student misconceptions

Determining whether students have met the goals

Students will describe some of the sources of GPS position error and how to minimize the errors. Students will be able to select appropriate GPS systems for different types of geological investigations based on accuracy.

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