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YSI 95 User Manual

Page 20

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YSI Incorporated

Model 95

16

SECTION 7 DISCUSSION OF MEASUREMENT ERRORS

SECTION 7 DISCUSSION OF MEASUREMENT ERRORS

SECTION 7 DISCUSSION OF MEASUREMENT ERRORS

SECTION 7 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 scale 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.