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Errors in
Measurement
Types of Error
 No measurement can be made with
perfect accuracy, but it is important to find
out what the accuracy actually is and how
different errors have entered into the
measurement.
 A study of errors is a first step in finding
ways to reduce them.
 Error is the difference between the
measured value and the true value of the
thing being measured.
 Uncertainty (惶惘惠忰悋  愃惘) is a quantification
( 擧惘悋 惠惺 擧悋 惆悋惘 ) of the doubt about the
measurement result.
Re-call ..
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Few Terms Related to Errors
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Types of Errors
Types of Error.
 Errors may come from different sources and are
usually classified under three main headings:-
- Gross errors: largely human errors, among them
misreading of instruments, incorrect adjustment and
improper application of instruments, and computational
mistakes.
- Systematic errors: shortcomings of the instruments,
such as defective or worn parts, and effects of the
environment on the equipment or the user.
- Random errors: those due to causes that cannot be
directly established because of random variations in the
parameter or the system of measurement.
Gross Errors
 This class of errors mainly covers human mistakes
in reading or using instruments.
 One common gross error frequently committed by
beginners in measurement work involves the
improper use of an instrument.
 In general, indicating instruments change
conditions to some extent when connected into a
complete circuit, so that the measured quantity is
altered by the method employed.
 The instrument may have a "loading effect" on the
circuit being measured, altering the original
situation by the measurement process.
Effect of Improper Use of instruments
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
 Error caused by loading
effect can be avoided by
using high-resistance
voltmeters.
Systematic Errors
Systematic errors: shortcomings of the instruments,
such as defective or worn parts, and effects of the
environment on the equipment .
This type of error is usually divided into two different
categories:
(1) instrumental errors, defined as shortcomings of the
instrument;
(2) environmental errors, due to external conditions
affecting the measurement.
Systematic Errors . . .
A Instrumental errors are errors inherent in
measuring instruments because of their
mechanical structure. For example, in the
dArsonval movement friction in bearings
of various moving components may cause
incorrect readings. Irregular spring tension,
stretching of the spring, or reduction in
tension due to improper handling or overloading of the
instrument will result in errors.
Other instrumental errors are calibration errors, causing the
instrument to read high or low along its entire scale. (Failure
to set the instrument to zero before making a measurement
has a similar effect.) .
Systematic Errors . . .
 Instrumental errors may be avoided by
 (1) selecting a suitable instrument for
the particular measurement application;
(2) applying correction factors after
determining the amount of instrumental
error;
(3) calibrating the instrument against a
standard.
Systematic Errors . . .
 Environmental errors are due to conditions
external to the measuring device, including
conditions in the area surrounding the
instrument, such as the effects of
temperature, humidity, barometric
pressure, or of magnetic
or electrostatic fields.
Random Errors
 These errors are due to unknown causes and occur
even when all systematic errors have been
accounted for. In well-designed experiments, few
random errors usually occur, but they become
important in high-accuracy work.
 This variation cannot be corrected by any method of
calibration or other known method of control and it
cannot be explained without minute investigation.
The only way to offset these errors is by increasing
the number of readings and using statistical means
to obtain the best approximation of the true value of
the quantity under measurement.
Statistical
Analysis
Statistical Analysis
Statistical Analysis
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Standard Deviation
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error
Im ch 1(pt-3)  error

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Im ch 1(pt-3) error

  • 2. Types of Error No measurement can be made with perfect accuracy, but it is important to find out what the accuracy actually is and how different errors have entered into the measurement. A study of errors is a first step in finding ways to reduce them.
  • 3. Error is the difference between the measured value and the true value of the thing being measured. Uncertainty (惶惘惠忰悋 愃惘) is a quantification ( 擧惘悋 惠惺 擧悋 惆悋惘 ) of the doubt about the measurement result.
  • 8. Few Terms Related to Errors
  • 19. Types of Error. Errors may come from different sources and are usually classified under three main headings:- - Gross errors: largely human errors, among them misreading of instruments, incorrect adjustment and improper application of instruments, and computational mistakes. - Systematic errors: shortcomings of the instruments, such as defective or worn parts, and effects of the environment on the equipment or the user. - Random errors: those due to causes that cannot be directly established because of random variations in the parameter or the system of measurement.
  • 20. Gross Errors This class of errors mainly covers human mistakes in reading or using instruments. One common gross error frequently committed by beginners in measurement work involves the improper use of an instrument. In general, indicating instruments change conditions to some extent when connected into a complete circuit, so that the measured quantity is altered by the method employed. The instrument may have a "loading effect" on the circuit being measured, altering the original situation by the measurement process.
  • 21. Effect of Improper Use of instruments
  • 25. Error caused by loading effect can be avoided by using high-resistance voltmeters.
  • 26. Systematic Errors Systematic errors: shortcomings of the instruments, such as defective or worn parts, and effects of the environment on the equipment . This type of error is usually divided into two different categories: (1) instrumental errors, defined as shortcomings of the instrument; (2) environmental errors, due to external conditions affecting the measurement.
  • 27. Systematic Errors . . . A Instrumental errors are errors inherent in measuring instruments because of their mechanical structure. For example, in the dArsonval movement friction in bearings of various moving components may cause incorrect readings. Irregular spring tension, stretching of the spring, or reduction in tension due to improper handling or overloading of the instrument will result in errors. Other instrumental errors are calibration errors, causing the instrument to read high or low along its entire scale. (Failure to set the instrument to zero before making a measurement has a similar effect.) .
  • 28. Systematic Errors . . . Instrumental errors may be avoided by (1) selecting a suitable instrument for the particular measurement application; (2) applying correction factors after determining the amount of instrumental error; (3) calibrating the instrument against a standard.
  • 29. Systematic Errors . . . Environmental errors are due to conditions external to the measuring device, including conditions in the area surrounding the instrument, such as the effects of temperature, humidity, barometric pressure, or of magnetic or electrostatic fields.
  • 30. Random Errors These errors are due to unknown causes and occur even when all systematic errors have been accounted for. In well-designed experiments, few random errors usually occur, but they become important in high-accuracy work. This variation cannot be corrected by any method of calibration or other known method of control and it cannot be explained without minute investigation. The only way to offset these errors is by increasing the number of readings and using statistical means to obtain the best approximation of the true value of the quantity under measurement.