The article "Combined Analysis of Real-Time Kinematic GPS Equipment and Its Users for Height Determination" (W. Featherstone and M. Stewart, Journal of Surveying Engineering, 2001:31-51) presents a study of the accuracy of global positioning system (GPS) equipment in measuring heights. Three types of equipment were studied, and each was used to make measurements at four different base stations (in the article a fifth station was included, for which the results differed considerably from the other four). There were 60 measurements made with each piece of equipment at each base. The means and standard deviations of the measurement errors (in mm) are presented in the following table for each combination of equipment type and base station. Instrument A Instrument B Instrument C Standard Mean Deviation Mean Deviation Mean Deviation 18 Standard Standard Base 3 15 -24 18 -6 Base 14 26 -13 13 -2 16 Base 26 -22 39 29 Base 34 -17 26 15 18 a Construct an ANOVA table. You may give ranges for the P-values. b. The question of interest is whether the mean error differs among instruments. It is not of interest to determine whether the errr differs among base stations. For this reason, a surveyor suggests treating this as a randomized complete block design, with the base stations as the blocks. Is this appropriate? Explain. 8.

The article "Combined Analysis of Real-Time Kinematic GPS Equipment and Its Users for Height Determination" (W. Featherstone and M. Stewart, Journal of Surveying Engineering, 2001:31-51) presents a study of the accuracy of global positioning system (GPS) equipment in measuring heights. Three types of equipment were studied, and each was used to make measurements at four different base stations (in the article a fifth station was included, for which the results differed considerably from the other four). There were 60 measurements made with each piece of equipment at each base. The means and standard deviations of the measurement errors (in mm) are presented in the following table for each combination of equipment type and base station. Instrument A Instrument B Instrument C Standard Mean Deviation Mean Deviation Mean Deviation 18 Standard Standard Base 3 15 -24 18 -6 Base 14 26 -13 13 -2 16 Base 26 -22 39 29 Base 34 -17 26 15 18 a Construct an ANOVA table. You may give ranges for the P-values. b. The question of interest is whether the mean error differs among instruments. It is not of interest to determine whether the errr differs among base stations. For this reason, a surveyor suggests treating this as a randomized complete block design, with the base stations as the blocks. Is this appropriate? Explain. 8.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 32PPS

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