Observational Error - Science and Experiments

Science and Experiments

When either randomness or uncertainty modeled by probability theory is attributed to such errors, they are "errors" in the sense in which that term is used in statistics; see errors and residuals in statistics.

Every time we repeat a measurement with a sensitive instrument, we obtain slightly different results. The common statistical model we use is that the error has two additive parts:

  1. systematic error which always occurs, with the same value, when we use the instrument in the same way and in the same case, and
  2. random error which may vary from observation to observation.

The systematic error is sometimes called statistical bias. It is controlled by very carefully standardized procedures. Part of the education in every science is how to use the standard instruments of the discipline.

The random error (or random variation) is due to factors which we cannot (or do not) control. It may be too expensive or we may be too ignorant of these factors to control them each time we measure. It may even be that whatever we are trying to measure is changing in time (see dynamic models), or is fundamentally probabilistic (as is the case in quantum mechanics -- see Measurement in quantum mechanics). Random error often occurs when instruments are pushed to their limits. For example, it is common for digital balances to exhibit random error in their least significant digit. Three measurements of a single object might read something like 0.9111g, 0.9110g, and 0.9112g.

Read more about this topic:  Observational Error

Famous quotes containing the words science and, science and/or experiments:

    Science and art, or by the same token, poetry and prose differ from one another like a journey and an excursion. The purpose of the journey is its goal, the purpose of an excursion is the process.
    Franz Grillparzer (1791–1872)

    Science is the only truth and it is the great lie. It knows nothing, and people think it knows everything. It is misrepresented. People think that science is electricity, automobilism, and dirigible balloons. It is something very different. It is life devouring itself. It is the sensibility transformed into intelligence. It is the need to know stifling the need to live. It is the genius of knowledge vivisecting the vital genius.
    Rémy De Gourmont (1858–1915)

    My experiments did not turn out quite like yours, Henry. But science, like love, has her little surprises.
    William Hurlbut (1883–?)