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What is root mean square error? (RMSE), Exams of Statistics

Gonzaga University Statistics

RMS error [STATISTICS] Acronym for root mean square error. A measure of the difference between locations that are known and locations that have been.

Typology: Exams

2022/2023

Uploaded on 03/01/2023

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RootMeanSquareError

ChadDettlaff

Whatisrootmeansquareerror?

(RMSE)

AccordingtoESRI:

RMSerror[STATISTICS] Acronymforrootmeansquare

error.Ameasureofthedifferencebetweenlocations

thatareknownandlocationsthathavebeen

interpolatedordigitized.RMSerrorisderivedby

squaringthedifferencesbetweenknownand

unknownpoints,addingthosetogether,dividingthat

bythenumberoftestpoints,andthentakingthe

squarerootofthatresult.

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Root Mean Square Error

Chad Dettlaff

What is root mean square error?

(RMSE)

According to ESRI:

RMS error [STATISTICS] Acronym for root mean square

error. A measure of the difference between locations

that are known and locations that have been

interpolated or digitized. RMS error is derived by

squaring the differences between known and

unknown points, adding those together, dividing that

by the number of test points, and then taking the

square root of that result.

Georeferencing Tool

Lets do some math!

Why does RMSE matter?

It is important to create precise and accurate data!

Sources:

http://webhelp.esri.com/arcgisdesktop/9.2/body.cfm?tocVisa ble=1&ID=555&TopicName=An%20overview%20of%20spatial %20adjustment
http://www.esricanada.com/EN_support/1243_6051.asp?QC ount=
http://webhelp.esri.com/arcgisdesktop/9.2/index.cfm?id= 0&pid=2701&topicname=Georeferencing_a_raster_dataset
Sommer, Shelly, and Tasha Wade, eds. A to Z GIS. Redlands, CA: ESRI Press 2006.