Experimental Error Errors are uncertainties in experimental data that can arise in numerous ways. There are four major types of error: human error, random error, sampling error, and systematic (or procedural) error. Below is a description of each type of error. In your error analysis you should focus on systematic errors. You should avoid using vague terms such as: changed, affected, disrupted, altered, or interfered. If the error increased the value of the data point, you must state that explicitly. If the error decreased the value of the data point, you must state that explicitly. If it’s not clear whether the error increased or decreased the value of the data point, you must state that explicitly. Human Error Human error is simply another word for mistake, blunder, or screw-up. These are not errors in the sense meant in this document. Examples include: o o o o o o Not setting up an experiment correctly Misreading an instrument Using the wrong chemical(s) Not following directions as written Spilling or general sloppiness Bad calculations, doing math incorrectly, using the wrong formula Students usually quote human error as a source of error, probably because they are easy to think of. However, they are neither quantitative nor helpful in analyzing the data. Human errors are NOT a source of experimental error; rather, they are “experimenter’s” error. Do not quote human error as a source of experimental error in any lab report! Random Error Random errors are unavoidable variations that will either increase or decrease a given measurement. Examples may include: o Fluctuations in the laboratory balance (your sample may weight a few hundredths of a gram higher or lower at any given time, depending on the quality of the balance and the conditions in the room). o Using a stopwatch to time a reaction (regardless of how careful you are, you will sometimes stop the watch too soon and sometimes too late). To minimize random errors, try to use consistent techniques and appropriate lab equipment when performing an experiment. Since random errors are equally likely to be high as low, performing several trials (and averaging the results) will also reduce their effect considerably. These types of errors are usually unacceptable, but there may be exceptions if properly analyzed. See the teacher if you are unsure whether your error works or not. Sampling Error Many scientific measurements are made on populations (or multiple samples). It is intuitively understood that the more samples you have from a given population, the less the error is likely to be. You should not be satisfied with two data points that are similar; it is slightly more convincing to have three or four that are similar. While this may be relevant to the labs we do in this class, it should generally not be used to explain your data anomalies. Systematic (Procedural) Error Systematic error is an error inherent in the experimental setup that causes the results to be skewed in the same direction each time. These are usually due to a procedure that fails to control for outside variables. For example: o When testing enzyme activity at different temperatures, the procedure failed to acclimate enzyme and substrate to the same temperature before putting them in contact with each other (enzyme lab) o The experiment occurred over several days so the freshness of the enzyme source decreased – this could have caused less functional enzyme to be present (enzyme lab) Since systematic errors always skew data in one direction, they cannot be eliminated by averaging. A well-designed experiment will minimize these errors. It is not possible to give detailed advice as to how systematic errors may be overcome. Each experiment must be considered individually and only by a thorough understanding of the purpose of the experiment and techniques used is this possible. These can usually be avoided by changing the way in which the experiment was carried out (modifying the procedure, changing laboratory conditions, etc). These are generally acceptable sources of errors for labs done in this class. Focus on these types of errors as you interpret your data anomalies. Adapted from: http://www2.volstate.edu/tfarris/PHYS2110-2120/experimental_error.htm http://www.rod.beavon.clara.net/err_orig.htm