Approximating the error, Type 3 errors – YSI 55 User Manual

Page 15

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11

Type 3 Errors

A. Altitude:

Operator Error:

A 1000 foot error in altitude (when calibrating) is equal to an error of
approximately 3.6% at the 10 mg/L level.

Instrument Error: The maximum DO error caused by calibrating to altitude in increments

of 100 feet: ±0.18% (< 0.015 mg/L at 25°C)

B. Humidity:

Errors occur if calibration is performed at less than 100% humidity. The worst possible case
would be calibration at 0% humidity. The error varies with the calibration temperature as
follows:

Temperature

Calibration Error at 0% humidity

0

o

C

0.09

mg/L

10

o

C

0.14

mg/L

20

o

C

0.21

mg/L

30

o

C

0.33

mg/L

40

o

C

0.50

mg/L

Approximating The Error

It is unlikely that the actual error in any measurement will be the maximum possible error. A better
error approximation is obtained using a root mean squared (r.m.s.) calculation:

r.m.s. error = ±[1a

2

+ 1b

2

+ 2a

2

+ 2b

2

+ 3a

2

+ 3b

2

]

½

mg/L

NOTE: This sample calculation is for a near extreme set of conditions.

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