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{{short description|Scientific procedure performed to validate a hypothesis}}
{{Redirect|Experimental|the musical classification|Experimental music}}
{{other uses}}
[[File:Apollo 15 feather and hammer drop.ogv|thumb|Astronaut [[David Scott]] performs a gravity test on the moon with a hammer and feather.]] [[File:Mirror baby.jpg|thumb|right|160px|Even very young children perform rudimentary experiments to learn about the world and how things work.]]
{{Research}}

An '''experiment''' is a procedure carried out to support or refute a [[hypothesis]], or determine the [[efficacy]] or [[likelihood]] of something previously untried.  Experiments provide insight into [[Causality|cause-and-effect]] by demonstrating what outcome occurs when a particular factor is manipulated.  Experiments vary greatly in goal and scale but always rely on repeatable procedure and logical analysis of the results. There also exist  [[natural experiment|natural experimental studies]].

A child may carry out basic experiments to understand how things fall to the ground, while teams of scientists may take years of systematic investigation to advance their understanding of a phenomenon. Experiments and other types of hands-on activities are very important to student learning in the science classroom. Experiments can raise test scores and help a student become more engaged and interested in the material they are learning, especially when used over time.<ref name=Stohr-Hunt>{{cite journal|last1=Stohr-Hunt|first1=Patricia|title=An Analysis of Frequency of Hands-on Experience and Science Achievement|journal=Journal of Research in Science Teaching|date=1996|volume=33|issue=1|pages=101–109|doi=10.1002/(SICI)1098-2736(199601)33:1<101::AID-TEA6>3.0.CO;2-Z|bibcode=1996JRScT..33..101S}}</ref> Experiments can vary from personal and informal natural comparisons (e.g. tasting a range of chocolates to find a favorite), to highly controlled (e.g. tests requiring complex apparatus overseen by many scientists that hope to discover information about subatomic particles). Uses of experiments vary considerably between the [[Natural science|natural]] and [[Social science|human]] sciences.

Experiments typically include [[scientific control|controls]], which are designed to minimize the effects of variables other than the single [[independent variable]]. This increases the reliability of the results, often through a comparison between control [[measurement]]s and the other measurements. Scientific controls are a part of the [[scientific method]]. Ideally, all [[Variable and attribute (research)|variable]]s in an experiment are controlled (accounted for by the control measurements) and none are uncontrolled. In such an experiment, if all controls work as expected, it is possible to conclude that the experiment works as intended, and that results are due to the effect of the tested variables.

==Overview==
In the [[scientific method]], an experiment is an [[Empirical research|empirical]] procedure that arbitrates competing [[scientific models|models]] or [[hypotheses]].<ref>{{cite book|last1=Cooperstock|first1=Fred I.|title=General Relativistic Dynamics: Extending Einstein's Legacy Throughout the Universe|date=2009|publisher=World Scientific|location=Singapore|isbn=978-981-4271-16-5|page=12|edition= Online-Ausg.}}</ref><ref name=Griffith>{{cite book|last1=Griffith|first1=W. Thomas|title=The physics of everyday phenomena : a conceptual introduction to physics|date=2001|publisher=McGraw-Hill|location=Boston|isbn=0-07-232837-1|pages=[https://archive.org/details/physicsofeveryda00grif_0/page/3 3–4]|edition=3rd|url=https://archive.org/details/physicsofeveryda00grif_0/page/3}}</ref> Researchers also use experimentation to test existing [[Scientific theory|theories]] or new hypotheses to support or disprove them.<ref name=Griffith/><ref name=Wilczek>{{cite book|last1=Wilczek|first1=Frank|last2=Devine|first2=Betsy|title=Fantastic realities : 49 mind journeys and a trip to Stockholm|date=2006|publisher=World Scientific|location=New Jersey|isbn=978-981-256-649-2|pages=61–62}}</ref>

An experiment usually tests a [[hypothesis]], which is an expectation about how a particular process or phenomenon works. However, an experiment may also aim to answer a "what-if" question, without a specific expectation about what the experiment reveals, or to confirm prior results. If an experiment is carefully conducted, the results usually either support or disprove the hypothesis. According to some [[philosophy of science|philosophies of science]], an experiment can never "prove" a hypothesis, it can only add support. On the other hand, an experiment that provides a [[counterexample]] can disprove a theory or hypothesis, but a theory can always be salvaged by appropriate [[ad hoc]] modifications at the expense of simplicity.

An experiment must also control the possible [[confounding|confounding factors]]—any factors that would mar the accuracy or repeatability of the experiment or the ability to interpret the results. Confounding is commonly eliminated through [[scientific control]]s and/or, in [[randomized experiment]]s, through [[random assignment]].

In [[engineering]] and the [[Outline of physical science|physical sciences]], experiments are a primary component of the scientific method. They are used to test theories and hypotheses about how physical processes work under particular conditions (e.g., whether a particular engineering process can produce a desired chemical compound). Typically, experiments in these fields focus on [[Replication (statistics)|replication]] of identical procedures in hopes of producing identical results in each replication. Random assignment is uncommon.

In [[medicine]] and the [[social sciences]], the prevalence of experimental research varies widely across disciplines. When used, however, experiments typically follow the form of the [[clinical trial]], where experimental units (usually individual human beings) are randomly assigned to a treatment or control condition where one or more outcomes are assessed.<ref>{{cite journal|last1=Holland|first1=Paul W.|title=Statistics and Causal Inference|journal=Journal of the American Statistical Association|date=December 1986|volume=81|issue=396|pages=945–960|doi=10.2307/2289064|jstor=2289064}}</ref> In contrast to norms in the physical sciences, the focus is typically on the [[average treatment effect]] (the difference in outcomes between the treatment and control groups) or another [[test statistic]] produced by the experiment.<ref>{{cite book|editor-last1=Druckman|editor1-link=James N. Druckman|editor3-link=James Kuklinski|editor-first1=James N.|editor2-link=Donald Green|editor-last2=Green|editor-first2=Donald P.|editor-last3=Kuklinski|editor-first3=James H.|editor-last4=Lupia|editor4-link=Arthur Lupia|editor-first4=Arthur|title=Cambridge handbook of experimental political science|date=2011|publisher=Cambridge University Press|location=Cambridge|isbn=978-0521174558}}</ref> A single study typically does not involve replications of the experiment, but separate studies may be aggregated through [[systematic review]] and [[meta-analysis]].

There are various differences in experimental practice in each of the [[branches of science]]. For example, [[agriculture|agricultural]] research frequently uses randomized experiments (e.g., to test the comparative effectiveness of different fertilizers), while [[experimental economics]] often involves experimental tests of theorized human behaviors without relying on random assignment of individuals to treatment and control conditions.

==History==
{{main|History of experiments}}

One of the first methodical approaches to experiments in the modern sense is visible in the works of the Arab mathematician and scholar [[Ibn al-Haytham]]. He conducted his experiments in the field of optics—going back to optical and mathematical problems in the works of [[Ptolemy]]—by controlling his experiments due to factors such as self-criticality, reliance on visible results of the experiments as well as a criticality in terms of earlier results. He was one of the first scholars to use an inductive-experimental method for achieving results.<ref>{{Cite journal|last=El-Bizri|first=Nader|date=2005|title=A Philosophical Perspective on Alhazen's Optics|journal=Arabic Sciences and Philosophy |volume= 15| issue = 2|pages= 189–218|doi=10.1017/S0957423905000172|s2cid=123057532}}</ref> In his ''[[Book of Optics]]'' he describes the fundamentally new approach to knowledge and research in an experimental sense:

{{Blockquote
|text=We should, that is, recommence the inquiry into its principles and premisses, beginning our investigation with an inspection of the things that exist and a survey of the conditions of visible objects. We should distinguish the properties of particulars, and gather by induction what pertains to the eye when vision takes place and what is found in the manner of sensation to be uniform, unchanging, manifest and not subject to doubt. After which we should ascend in our inquiry and reasonings, gradually and orderly, criticizing premisses and exercising caution in regard to conclusions—our aim in all that we make subject to inspection and review being to employ justice, not to follow prejudice, and to take care in all that we judge and criticize that we seek the truth and not to be swayed by opinion. We may in this way eventually come to the truth that gratifies the heart and gradually and carefully reach the end at which certainty appears; while through criticism and caution we may seize the truth that dispels disagreement and resolves doubtful matters. For all that, we are not free from that human turbidity which is in the nature of man; but we must do our best with what we possess of human power. From God we derive support in all things.<ref>{{Cite book|title=Optics|last=Ibn al-Haytham|first=Abu Ali Al-Hasan|pages=5}}</ref>}}

According to his explanation, a strictly controlled test execution with a sensibility for the subjectivity and susceptibility of outcomes due to the nature of man is necessary. Furthermore, a critical view on the results and outcomes of earlier scholars is necessary:

{{quote|It is thus the duty of the man who studies the writings of scientists, if learning the truth is his goal, to make himself an enemy of all that he reads, and, applying his mind to the core and margins of its content, attack it from every side. He should also suspect himself as he performs his critical examination of it, so that he may avoid falling into either prejudice or leniency.<ref>{{Cite book|title=Dubitationes in Ptolemaeum|last=Ibn al-Haytham|first=Abu Ali Al-Hasan|pages=3}}</ref>}}

Thus, a comparison of earlier results with the experimental results is necessary for an objective experiment—the visible results being more important. In the end, this may mean that an experimental researcher must find enough courage to discard traditional opinions or results, especially if these results are not experimental but results from a logical/ mental derivation. In this process of critical consideration, the man himself should not forget that he tends to subjective opinions—through "prejudices" and "leniency"—and thus has to be critical about his own way of building hypotheses. {{cn|date=December 2018}}

[[Francis Bacon]] (1561–1626), an English [[philosophy|philosopher]] and [[scientist]] active in the 17th century, became an influential supporter of experimental science in the [[English Renaissance|English renaissance]]. He disagreed with the method of answering scientific questions by [[deductive reasoning|deduction]]—similar to [[Ibn al-Haytham]]—and described it as follows: "Having first determined the question according to his will, man then resorts to experience, and bending her to conformity with his placets, leads her about like a captive in a procession."<ref>"Having first determined the question according to his will, man ''then'' resorts to experience, and bending her to conformity with his placets, leads her about like a captive in a procession." Bacon, Francis. ''Novum Organum'', i, 63. Quoted in {{harvnb|Durant|2012|p=170}}.</ref> Bacon wanted a method that relied on repeatable observations, or experiments. Notably, he first ordered the scientific method as we understand it today. {{quotation | There remains simple experience; which, if taken as it comes, is called accident, if sought for, experiment. The true method of experience first lights the candle [hypothesis], and then by means of the candle shows the way [arranges and delimits the experiment]; commencing as it does with experience duly ordered and digested, not bungling or erratic, and from it deducing axioms [theories], and from established axioms again new experiments.<ref>{{cite book|last1=Durant|first1=Will|title=The story of philosophy : the lives and opinions of the great philosophers of the western world|date=2012|publisher=Simon and Schuster|location=New York|isbn=978-0-671-69500-2|edition=2nd|url=https://archive.org/details/storyofphilosophdura00dura}}</ref>{{rp|101}}}}

In the centuries that followed, people who applied the scientific method in different areas made important advances and discoveries.  For example, [[Galileo Galilei]] (1564–1642) accurately measured time and experimented to make accurate measurements and conclusions about the speed of a falling body. [[Antoine Lavoisier]] (1743–1794), a French chemist, used experiment to describe new areas, such as [[combustion]] and [[biochemistry]] and to develop the theory of [[conservation of mass]] (matter).<ref>{{cite book|last1=Bell|first1=Madison Smartt|title=Lavoisier in the Year One: The Birth of a New Science in an Age of Revolution|date=2005|publisher=W.W. Norton & Company|isbn=978-0393051551|url=https://archive.org/details/lavoisierinyearo00madi}}</ref> [[Louis Pasteur]] (1822–1895) used the scientific method to disprove the prevailing theory of [[spontaneous generation]] and to develop the [[germ theory of disease]].<ref>{{cite book|editor-last1=Brock|editor-first1=Thomas D|title=Pasteur and Modern Science|date=1988|publisher=Springer|isbn=978-3540501015|edition= New illustrated}}</ref> Because of the importance of controlling potentially confounding variables, the use of well-designed [[laboratory]] experiments is preferred when possible.

A considerable amount of progress on the design and analysis of experiments occurred in the early 20th century, with contributions from statisticians such as [[Ronald Fisher]] (1890–1962), [[Jerzy Neyman]] (1894–1981), [[Oscar Kempthorne]] (1919–2000), [[Gertrude Mary Cox]] (1900–1978), and [[William Gemmell Cochran]] (1909–1980), among others.

==Types {{anchor|Types of experiments}}==
Experiments might be categorized according to a number of dimensions, depending upon professional norms and standards in different fields of study. 

In some disciplines (e.g., [[psychology]] or [[political science]]), a 'true experiment' is a method of social research in which there are two kinds of [[Variable (mathematics)|variables]]. The [[independent variable]] is manipulated by the experimenter, and the [[dependent variable]] is measured. The signifying characteristic of a true experiment is that it randomly allocates the subjects to neutralize [[Observer bias|experimenter bias]], and ensures, over a large number of iterations of the experiment, that it controls for all confounding factors.<ref>{{cite web|title=Types of experiments|url=http://psychology.ucdavis.edu/SommerB/sommerdemo/experiment/types.htm|archive-url=https://web.archive.org/web/20141219220204/http://psychology.ucdavis.edu/faculty_sites/sommerb/sommerdemo/experiment/types.htm|archive-date=19 December 2014|publisher=Department of Psychology, University of California Davis}}</ref> 

Depending on the discipline, experiments can be conducted to accomplish different but not mutually exclusive goals: <ref>{{Cite journal|last1=Lin|first1=Hause|last2=Werner|first2=Kaitlyn M.|last3=Inzlicht|first3=Michael|date=2021-02-16|title=Promises and Perils of Experimentation: The Mutual-Internal-Validity Problem|url=https://doi.org/10.1177/1745691620974773|journal=Perspectives on Psychological Science|volume=16|issue=4|language=en|pages=854–863|doi=10.1177/1745691620974773|pmid=33593177|s2cid=231877717|issn=1745-6916}}</ref> test theories, search for and document phenomena, develop theories, or advise policymakers. These goals also relate differently to [[Validity (statistics)|validity concerns]].

===Controlled experiments===
{{Main|Scientific control|Design of experiments}}
{{citations needed|date=March 2019}}
A controlled experiment often compares the results obtained from experimental samples against  ''control'' samples, which are practically identical to the experimental sample except for the one aspect whose effect is being tested (the [[dependent and independent variables|independent variable]]). A good example would be a drug trial. The sample or group receiving the drug would be the experimental group ([[treatment group]]); and the one receiving the [[placebo]] or regular treatment would be the [[control group|control]] one. In many laboratory experiments it is good practice to have several [[Replicate (statistics)|replicate]] samples for the test being performed and have both a [[Scientific control#Positive|positive control]] and a [[Scientific control#Negative|negative control]]. The results from replicate samples can often be averaged, or if one of the replicates is obviously inconsistent with the results from the other samples, it can be discarded as being the result of an experimental error (some step of the test procedure may have been mistakenly omitted for that sample). Most often, tests are done in duplicate or triplicate. A positive control is a procedure similar to the actual experimental test but is known from previous experience to give a positive result. A negative control is known to give a negative result. The positive control confirms that the basic conditions of the experiment were able to produce a positive result, even if none of the actual experimental samples produce a positive result. The negative control demonstrates the base-line result obtained when a test does not produce a measurable positive result. Most often the value of the negative control is treated as a "background" value to subtract from the test sample results. Sometimes the positive control takes the quadrant of a [[standard curve]].

An example that is often used in teaching laboratories is a controlled [[protein]] [[assay]]. Students might be given a fluid sample containing an unknown (to the student) amount of protein. It is their job to correctly perform a controlled experiment in which they determine the concentration of protein in the fluid sample (usually called the "unknown sample"). The teaching lab would be equipped with a protein standard [[Solution (chemistry)|solution]] with a known protein concentration. Students could make several positive control samples containing various dilutions of the protein standard. Negative control samples would contain all of the reagents for the protein assay but no protein. In this example, all samples are performed in duplicate. The assay is a [[Colorimetry (chemical method)#Colorimetric Assays|colorimetric assay]] in which a [[spectrophotometer]] can measure the amount of protein in samples by detecting a colored complex formed by the interaction of protein molecules and molecules of an added dye. In the illustration, the results for the diluted test samples can be compared to the results of the standard curve (the blue line in the illustration) to estimate the amount of protein in the unknown sample.

Controlled experiments can be performed when it is difficult to exactly control all the conditions in an experiment. In this case, the experiment begins by creating two or more sample groups that are probabilistically equivalent, which means that measurements of traits should be similar among the groups and that the groups should respond in the same manner if given the same treatment. This equivalency is determined by [[statistics|statistical]] methods that take into account the amount of variation between individuals and the [[number]] of individuals in each group. In fields such as [[microbiology]] and [[chemistry]], where there is very little variation between individuals and the group size is easily in the millions, these statistical methods are often bypassed and simply splitting a solution into equal parts is assumed to produce identical sample groups.

Once equivalent groups have been formed, the experimenter tries to treat them identically except for the one ''variable'' that he or she wishes to isolate. [[Human experimentation]] requires special safeguards against outside variables such as the ''[[Placebo#Mechanism of the effect|placebo effect]]''. Such experiments are generally ''[[Blind experiment|double blind]]'', meaning that neither the volunteer nor the researcher knows which individuals are in the control group or the experimental group until after all of the data have been collected. This ensures that any effects on the volunteer are due to the treatment itself and are not a response to the knowledge that he is being treated.

In human experiments, researchers may give a [[research subject|subject]] (person) a [[stimulation|stimulus]] that the subject responds to. The goal of the experiment is to [[Measurement|measure]] the response to the stimulus by a [[test method]].

In the [[design of experiments]], two or more "treatments" are applied to estimate the  [[Average treatment effect|difference]] between the mean [[response variable|responses]] for the treatments. For example, an experiment on baking bread could estimate the difference in the responses associated with quantitative variables, such as the ratio of water to flour, and with qualitative variables, such as strains of yeast. Experimentation is the step in the [[scientific method]] that helps people decide between two or more competing explanations—or [[hypotheses]]. These hypotheses suggest reasons to explain a phenomenon or predict the results of an action. An example might be the hypothesis that "if I release this ball, it will fall to the floor": this suggestion can then be tested by carrying out the experiment of letting go of the ball, and observing the results.  Formally, a hypothesis is compared against its opposite or [[null hypothesis]] ("if I release this ball, it will not fall to the floor"). The null hypothesis is that there is no explanation or predictive power of the phenomenon through the reasoning that is being investigated.  Once hypotheses are defined, an experiment can be carried out and the results analysed to confirm, refute, or define the accuracy of the hypotheses.

Experiments can be also designed to [[Spillover effects in experiments|estimate spillover effects]] onto nearby untreated units.

=== Natural experiments ===
{{main|Natural experiment}}
The term "experiment" usually implies a controlled experiment, but sometimes controlled experiments are prohibitively difficult, impossible, unethical or illegal.  In this case researchers resort to natural experiments or [[quasi-experiments]].<ref>{{harvnb|Dunning|2012}}</ref>  Natural experiments rely solely on observations of the variables of the [[system]] under study, rather than manipulation of just one or a few variables as occurs in controlled experiments.  To the degree possible, they attempt to collect data for the system in such a way that contribution from all variables can be determined, and where the effects of variation in certain variables remain approximately constant so that the effects of other variables can be discerned.  The degree to which this is possible depends on the observed [[correlation]] between [[explanatory variables]] in the observed data.  When these variables are ''not'' well correlated, natural experiments can approach the power of controlled experiments.  Usually, however, there is some correlation between these variables, which reduces the reliability of natural experiments relative to what could be concluded if a controlled experiment were performed.  Also, because natural experiments usually take place in uncontrolled environments, variables from undetected sources are neither measured nor held constant, and these may produce illusory correlations in variables under study.

Much research in several [[science]] disciplines, including [[economics]], [[human geography]], [[archaeology]], [[sociology]], [[cultural anthropology]], [[geology]], [[paleontology]], [[ecology]], [[meteorology]], and [[astronomy]], relies on quasi-experiments.  For example, in astronomy it is clearly impossible, when testing the hypothesis "Stars are collapsed clouds of hydrogen", to start out with a giant cloud of hydrogen, and then perform the experiment of waiting a few billion years for it to form a star. However, by observing various clouds of hydrogen in various states of collapse, and other implications of the hypothesis (for example, the presence of various spectral emissions from the light of stars), we can collect data we require to support the hypothesis.  An early example of this type of experiment was the first verification in the 17th century that light does not travel from place to place instantaneously, but instead has a measurable speed. Observation of the appearance of the moons of Jupiter were slightly delayed when Jupiter was farther from Earth, as opposed to when Jupiter was closer to Earth; and this phenomenon was used to demonstrate that the difference in the time of appearance of the moons was consistent with a measurable speed.<ref>{{Cite web|url=https://www.amnh.org/learn-teach/curriculum-collections/cosmic-horizons-book/ole-roemer-speed-of-light|title=Ole Roemer Profile: First to Measure the Speed of Light &#124; AMNH}}</ref>

=== Field experiments ===
{{main|Field experiment}}
{{citations needed|date=March 2019}}
Field experiments are so named to distinguish them from [[laboratory]] experiments, which enforce scientific control by testing a hypothesis in the artificial and highly controlled setting of a laboratory. Often used in the social sciences, and especially in economic analyses of education and health interventions, field experiments have the advantage that outcomes are observed in a natural setting rather than in a contrived laboratory environment. For this reason, field experiments are sometimes seen as having higher [[external validity]] than laboratory experiments. However, like natural experiments, field experiments suffer from the possibility of contamination: experimental conditions can be controlled with more precision and certainty in the lab. Yet some phenomena (e.g., voter turnout in an election) cannot be easily studied in a laboratory.

==Observational studies {{anchor|Contrast with observational study}}==
[[File:Blackbox3D-obs.png|thumb|The [[black box|black box model]] for observation (input and output are ''observables''). When there are a [[feedback]] with some observer's control, as illustrated, the observation is also an experiment.]]

An [[observational study]] is used when it is impractical, unethical, cost-prohibitive (or otherwise inefficient) to fit a physical or social system into a laboratory setting, to completely control confounding factors, or to apply random assignment. It can also be used when confounding factors are either limited or known well enough to analyze the data in light of them (though this may be rare when social phenomena are under examination). For an observational science to be valid, the experimenter must know and account for [[confounding]] factors. In these situations, observational studies have value because they often suggest hypotheses that can be tested with randomized experiments or by collecting fresh data.

Fundamentally, however, observational studies are not experiments. By definition, observational studies lack the manipulation required for [[Baconian method|Baconian experiments]]. In addition, observational studies (e.g., in biological or social systems) often involve variables that are difficult to quantify or control. Observational studies are limited because they lack the statistical properties of randomized experiments. In a randomized experiment, the method of randomization specified in the experimental protocol guides the statistical analysis, which is usually specified also by the experimental protocol.<ref name="Hinkelmann, Klaus and Kempthorne, Oscar 2008">{{cite book
|last1=Hinkelmann|first1= Klaus |author-link2=Oscar Kempthorne |last2=Kempthorne |first2=Oscar
|year=2008
|title=Design and Analysis of Experiments, Volume I: Introduction to Experimental Design
|edition= Second
|publisher=Wiley
|isbn=978-0-471-72756-9
}}</ref> Without a statistical model that reflects an objective randomization, the statistical analysis relies on a subjective model.<ref name="Hinkelmann, Klaus and Kempthorne, Oscar 2008"/> Inferences from subjective models are unreliable in theory and practice.<ref>{{cite book|last1=Freedman|first1=David|last2=Pisani|first2=Robert|last3=Purves|first3=Roger|author1-link=David A. Freedman|title=Statistics|date=2007|publisher=Norton|location=New York|isbn=978-0-393-92972-0|edition= 4th}}</ref> In fact, there are several cases where carefully conducted observational studies consistently give wrong results, that is, where the results of the observational studies are inconsistent and also differ from the results of experiments. For example, epidemiological studies of colon cancer consistently show beneficial correlations with broccoli consumption, while experiments find no benefit.<ref>{{cite book|last1=Freedman|first1=David A.|title=Statistical models : theory and practice|date=2009|publisher=Cambridge University Press|location=Cambridge|isbn=978-0-521-74385-3|edition= Revised}}</ref>

A particular problem with observational studies involving human subjects is the great difficulty attaining fair comparisons between treatments (or exposures), because such studies are prone to [[selection bias]], and groups receiving different treatments (exposures) may differ greatly according to their covariates (age, height, weight, medications, exercise, nutritional status, ethnicity, family medical history, etc.). In contrast, randomization implies that for each covariate, the mean for each group is expected to be the same. For any randomized trial, some variation from the mean is expected, of course, but the randomization ensures that the experimental groups have mean values that are close, due to the [[central limit theorem]] and [[Markov's inequality]]. With inadequate randomization or low sample size, the systematic variation in covariates between the treatment groups (or exposure groups) makes it difficult to separate the effect of the treatment (exposure) from the effects of the other covariates, most of which have not been measured. The mathematical models used to analyze such data must consider each differing covariate (if measured), and results are not meaningful if a covariate is neither randomized nor included in the model.

To avoid conditions that render an experiment far less useful, physicians conducting medical trials—say for U.S. [[Food and Drug Administration]] approval—quantify and randomize the covariates that can be identified. Researchers attempt to reduce the biases of observational studies with [[matching (statistics)|matching]] methods such as [[propensity score matching]], which require large populations of subjects and extensive information on covariates. However, propensity score matching is no longer recommended as a technique because it can increase, rather than decrease, bias.<ref>{{Cite journal|last1=King|first1=Gary|last2=Nielsen|first2=Richard|date=October 2019|title=Why Propensity Scores Should Not Be Used for Matching|journal=Political Analysis|language=en|volume=27|issue=4|pages=435–454|doi=10.1017/pan.2019.11|hdl=1721.1/128459|issn=1047-1987|doi-access=free|hdl-access=free}}</ref> Outcomes are also quantified when possible (bone density, the amount of some cell or substance in the blood, physical strength or endurance, etc.) and not based on a subject's or a professional observer's opinion. In this way, the design of an observational study can render the results more objective and therefore, more convincing.

== Ethics ==
{{main|Research ethics}}

By placing the distribution of the independent variable(s) under the control of the researcher, an experiment—particularly when it involves [[human subject research|human subjects]]—introduces potential ethical considerations, such as balancing benefit and harm, fairly distributing interventions (e.g., treatments for a disease), and [[informed consent]]. For example, in psychology or health care, it is unethical to provide a substandard treatment to patients. Therefore, ethical review boards are supposed to stop clinical trials and other experiments unless a new treatment is believed to offer benefits as good as current best practice.<ref>{{cite book|last1=Bailey|first1=R.A.|title=Design of comparative experiments|date=2008|publisher=Cambridge University Press|location=Cambridge|isbn=978-0521683579}}</ref> It is also generally unethical (and often illegal) to conduct randomized experiments on the effects of substandard or harmful treatments, such as the effects of ingesting arsenic on human health. To understand the effects of such exposures, scientists sometimes use observational studies to understand the effects of those factors.

Even when experimental research does not directly involve human subjects, it may still present ethical concerns. For example, the nuclear bomb experiments conducted by the [[Manhattan Project]] implied the use of nuclear reactions to harm human beings even though the experiments did not directly involve any human subjects.    {{Disputed inline|Manhattan Project|date=December 2023}}

==See also==
{{div col|colwidth=25em}}
* [[Allegiance bias]]
* [[Black box|Black box experimentation]]
* [[Concept development and experimentation]]
* [[Design of experiments]]
* [[Experimentum crucis]]
* [[Experimental physics]]
* [[Experimental psychology]]
* [[Empirical research]]
* [[Laboratory]]
* [[List of experiments]]
* [[Long-term experiment]]
{{div col end}}

==Notes==
{{Reflist|refs=
}}

==Further reading==
* {{cite book|last1=Dunning|first1=Thad|title=Natural experiments in the social sciences : a design-based approach|date=2012|publisher=Cambridge University Press|location=Cambridge|isbn=978-1107698000}}
* Cerqueiro, Daniel. ''Roger Bacon y la Ciencia Experimental''. Buenos Aires; Ed.P.Ven. 2008.
* {{cite book|last1=Shadish|first1=William R.|last2=Cook|first2=Thomas D.|last3=Campbell|first3=Donald T.|title=Experimental and quasi-experimental designs for generalized causal inference|date=2002|publisher=Houghton Mifflin|location=Boston|isbn=0-395-61556-9|edition= Nachdr.}} ([https://web.archive.org/web/20080912102302/http://depts.washington.edu/methods/readings/Shadish.pdf Excerpts])
* {{cite book|first1=Teigen |last1=Jeremy |year=2014 |chapter=Experimental Methods in Military and Veteran Studies |title=Routledge Handbook of Research Methods in Military Studies |editor-last1=Soeters|editor-first1=Joseph |editor-last2=Shields|editor-first2=Patricia|editor-last3=Rietjens|editor-first3=Sebastiaan|pages=228–238 |location=New York |publisher=Routledge}}

==External links==
{{Library resources box
|by=no
|onlinebooks=no
|others=no
|about=yes
|label=Experiment}}
* {{Commonscat-inline|Experiments}}
* [https://web.archive.org/web/20120603082327/http://openbookproject.net/electricCircuits/Exper/index.html Lessons In Electric Circuits – Volume VI – Experiments]
* [http://plato.stanford.edu/entries/physics-experiment/ Experiment in Physics] from [[Stanford Encyclopedia of Philosophy]]

{{Experimental design}}
{{Statistics|state=collapsed}}
{{Authority control}}

[[Category:Experiments| ]]
[[Category:Research]]
[[Category:Design of experiments]]
[[Category:Science experiments| ]]
[[Category:Causal inference]]