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.
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Transcribed Image Text: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.
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