Section 6 discussion of measurement errors, Type 1 errors, Type 2 errors – YSI 58 User Manual

Page 24: Type 3 errors, Section 6, Discussion of measurement errors

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SECTION 6

DISCUSSION OF MEASUREMENT ERRORS

There are three basic types of dissolved oxygen errors. Type 1 errors are related to limitations of
instrument design and tolerances of instrument components. These are primarily the meter linearity
and the resistor tolerances. Type 2 errors are due to basic probe accuracy tolerances, mainly
background signal, probe linearity, and variations in membrane temperature coefficient. Type 3 errors
are related to the operator's ability to determine the conditions at the time of calibration. If calibration
is performed against more accurately known conditions, type 3 errors are appropriately reduced.

Type 1 Errors
A. Meter linearity error: ±0.5% of full scales reading, or ±0.04 mg/l at 25°C whichever is greater.
B. Component and circuitry error: ±0.04 mg/l

Type 2 Errors
A. DO errors caused by temperature compensation for measurements at ±10°C from calibration

temperature: ±1% of 25° C (±0.08 mg/l)

B. DO errors caused by temperature measurement errors: A maximum ±0.2°C temperature error is

equal to ±0.5% (0.04mg/L at 25°C).

Type 3 Errors
A. Altitude: 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 calculation is for a near extreme set of conditions.
If the probe is calibrated in water-saturated air, then type 3B errors (humidity), the largest error of all
types, is virtually eliminated and the maximum possible error is in the order of 0.1 mg/L for the case
of calibrating around 25°C.

YSI Incorporated

YSI 58 DO Meter

20

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