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Encyclopedia > Systematic error

Italic textSystematic errorsBold text are biases in measurement which lead to measured values being systematically too high or too low. See also biased sample and errors and residuals in statistics. All measurements are prone to systematic error. A systematic error is any biasing effect, in the environment, methods of observation or instruments used, which introduces error into an experiment and is such that it always affects the results of an experiment in the same direction. Distance measured by radar will be in error if the slight slowing down of the waves in air is not accounted for. The oscillation frequency of a pendulum will be in error if slight movement of the support is not accounted for. Incorrect zeroing of an instrument leading to a zero error is an example of systematic error in instrumentation. So is a clock running fast or slow. See also observational error and errors and residuals in statistics. This article or section does not adequately cite its references or sources. ... Various meters Measurement is the estimation of a physical quantity such as length, temperature, or time. ... A biased sample is one that is falsely taken to be typical of a population from which it is drawn. ... In statistics and optimization, the concepts of error and residual are easily confused with each other. ... Observation is an activity of a sapient or sentient living being (e. ... The word error has different meanings in different domains. ... In the scientific method, an experiment (Latin: ex-+-periri, of (or from) trying), is a set of actions of going to the bathroom. ... Distance is a numerical description of how far apart objects are at any given moment in time. ... This long range radar antenna, known as ALTAIR, is used to detect and track space objects in conjunction with ABM testing at the Ronald Reagan Test Site on the Kwajalein atoll. ... Simple gravity pendulum assumes no air resistance and no friction of/at the nail/screw. ... A wrist watch A clock (from the Latin cloca, bell) is an instrument for measuring time. ... Observational error is the difference between a measured value of quantity and its true value. ... In statistics and optimization, the concepts of error and residual are easily confused with each other. ...


Constant systematic errors are very difficult to deal with, because their effects are only observable if they can be removed. Such errors cannot be removed by repeating measurements or averaging large numbers of results. A common means to remove systematic error is the observation of a known process, i.e. through calibration. Another means to remove systematic error is by a subsequent measurement with a more sophisticated experiment equipment. Calibration refers to the process of setting the magnitude of the output (or response) of a measuring instrument to the magnitude of the input property or attribute within specified accuracy and precision. ...


Drift

Systematic errors which change during an experiment (drift) are easier to detect. Measurements show trends with time rather than varying randomly about a mean. Drift may refer to: Look up drift in Wiktionary, the free dictionary. ... In statistics, mean has two related meanings: Look up mean in Wiktionary, the free dictionary. ...


Drift is evident if a measurement of a constant quantity is repeated several times and the measurements drift one way during the experiment, for example if each measurement is higher than the previous measurement which could perhaps occur if an instrument becomes warmer during the experiment. If the measured quantity is variable, it is possible to detect a drift by checking the zero reading during the experiment as well as at the start of the experiment (indeed, the zero reading is a measurement of a constant quantity). If the zero reading is consistently above or below zero, a systematic error is present. If this cannot be eliminated, for instance by resetting the instrument immediately before the experiment, it needs to be allowed for by subtracting its (possibly time-varying) value from the readings, and by taking it into account in assessing the accuracy of the measurement.


If no pattern in a series of repeated measurements is evident, the presence of fixed systematic errors can only be found if the measurements are checked, either by measuring a known quantity or by comparing the readings with readings made using a different apparatus, known to be more accurate. For example, suppose the timing of a pendulum using an accurate stopwatch several times gives readings randomly distributed about the mean. A systematic error is present if the stopwatch is checked against the 'speaking clock' of the telephone system and found to be running slow or fast. Clearly, the pendulum timings need to be corrected according to how fast or slow the stopwatch was found to be running. Measuring instruments such as ammeters and voltmeters need to be checked periodically against known standards. A stopwatch is a timepiece designed to measure the amount of time elapsed from a particular time when activated to when the piece is deactivated. ... A speaking clock service is used for people who wish to know the correct and accurate time. ... Wire carrying current to be measured Spring providing restoring force An ammeter is a measuring instrument used to measure the flow of electric current in a circuit. ... Two digital voltmeters. ...


Systematic errors can also be detected by measuring already known quantities. For example, a spectrometer fitted with a diffraction grating may be checked by using it to measure the wavelength of the D-lines of the sodium electromagnetic spectrum which are at 589.0 and 589.6 nm. The measurements may be used to determine the number of lines per millimetre of the diffraction grating, which can then be used to measure the wavelength of any other spectral line. A spectrometer is an optical instrument used to measure properties of light over a specific portion of the electromagnetic spectrum. ... To meet Wikipedias quality standards, this article or section may require cleanup. ... The wavelength is the distance between repeating units of a wave pattern. ... General Name, Symbol, Number sodium, Na, 11 Chemical series alkali metals Group, Period, Block 1, 3, s Appearance silvery white Standard atomic weight 22. ... Legend γ = Gamma rays HX = Hard X-rays SX = Soft X-Rays EUV = Extreme ultraviolet NUV = Near ultraviolet Visible light NIR = Near infrared MIR = Moderate infrared FIR = Far infrared Radio waves EHF = Extremely high frequency (Microwaves) SHF = Super high frequency (Microwaves) UHF = Ultra high frequency VHF = Very high frequency HF = High... A millimetre (American spelling: millimeter, symbol mm) is an SI unit of length that is equal to one thousandth of a metre. ...


  Results from FactBites:
 
Errors (335 words)
There are two sources of error in a measurement: (1) limitations in the sensitivity of the instruments used and (2) imperfections in the techniques used to make the measurement.
Systematic error can be caused by an imperfection in the equipment being used or from mistakes the individual makes while taking the measurement.
The error could be decreased even further by using a buret, which is capable of delivering a volume to within 1 drop, or ±0.05 mL.
Experimental Error (1203 words)
Systematic error is an error inherent in the experimental set up which causes the results to be skewed in the same direction every time, i.e., always too large or always too small.
One example of systematic error would be trying to measure the fall time of a ping pong ball to determine the acceleration due to gravity.
For example, with the k for the first spring with its large systematic error, you would need to think of sources of systematic error that would always produce values of k that were too large.
  More results at FactBites »


 

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