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Errors. Random Errors A random error is due to the effects of uncontrolled variables. These exhibit no pattern. These errors can cause measurements to.

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Presentation on theme: "Errors. Random Errors A random error is due to the effects of uncontrolled variables. These exhibit no pattern. These errors can cause measurements to."— Presentation transcript:

1 Errors

2 Random Errors A random error is due to the effects of uncontrolled variables. These exhibit no pattern. These errors can cause measurements to be too high AND too low. Random errors affect precision of measurements and can be reduced by repeating trials.

3 Systematic Errors A systematic error is one which can be assigned to a definite cause and can usually be eliminated. Systematic errors are due to incorrect use of equipment or poor experimental design. Systematic errors will make measured values either smaller or larger than the actual value (affect accuracy).

4 4 Systematic Errors Instrumental – calibration error Consistent bias in observation – when reading a thermometer or pipet too high or too low Natural or environmental error – External influences such as temperature and pressure during gas volume labs

5 Theoretical – Due to approximations or simplifications – Assuming no heat loss in calorimetry measurements In most accurate work, equipment must be calibrated to correct for systematic errors. Repeating trials will not reduce systematic errors.

6 Parallax (systematic or random) - This error can occur whenever there is some distance between the measuring scale and the indicator used to obtain a measurement. If the observer's eye is not squarely aligned with the pointer and scale, the reading may be too high or low (some analog meters have mirrors to help with this alignment). Instrument drift (systematic) - Most electronic instruments have readings that drift over time. The amount of drift is generally not a concern, but occasionally this source of error can be significant and should be considered.

7 Environmental factors (systematic or random) - Be aware of errors introduced by your immediate working environment. You may need to take account for or protect your experiment from vibrations, drafts, changes in temperature, electronic noise or other effects from nearby apparatus. Instrument resolution (random) - All instruments have finite precision that limits the ability to resolve small measurement differences. For instance, a meter stick cannot distinguish distances to a precision much better than about half of its smallest scale division (0.5 mm in this case). One of the best ways to obtain more precise measurements is to use a null difference method instead of measuring a quantity directly. Null or balance methods involve using instrumentation to measure the difference between two similar quantities, one of which is known very accurately and is adjustable. The adjustable reference quantity is varied until the difference is reduced to zero. The two quantities are then balanced and the magnitude of the unknown quantity can be found by comparison with the reference sample. With this method, problems of source instability are eliminated, and the measuring instrument can be very sensitive and does not even need a scale.

8 Blunders (mistakes). Mistakes (or the much stronger 'blunder') such as, dropping a small amount of solid on the balance pan, are not errors in the sense meant in these pages. Unfortunately many critiques of investigations written by students are fond of quoting blunders as a source of error, probably because they're easy to think of. They are neither quantitative nor helpful; experimental error in the true sense of uncertainty cannot be assessed if the experimenter was simply unskilled.


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