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Design of experiments

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done is it possible to certify with high probability that the reason for the differences in the outcome variables are caused by the different conditions. Therefore, researchers should choose the experimental design over other design types whenever possible. However, the nature of the independent variable does not always allow for manipulation. In those cases, researchers must be aware of not certifying about causal attribution when their design doesn't allow for it. For example, in observational designs, participants are not assigned randomly to conditions, and so if there are differences found in outcome variables between conditions, it is likely that there is something other than the differences between the conditions that causes the differences in outcomes, that is – a third variable. The same goes for studies with correlational design (Adér & Mellenbergh, 2008).
2392: 1375: 2387:{\displaystyle {\begin{aligned}{\widehat {\theta }}_{2}&={\frac {Y_{1}+Y_{2}-Y_{3}-Y_{4}+Y_{5}+Y_{6}-Y_{7}-Y_{8}}{8}}.\\{\widehat {\theta }}_{3}&={\frac {Y_{1}+Y_{2}-Y_{3}-Y_{4}-Y_{5}-Y_{6}+Y_{7}+Y_{8}}{8}}.\\{\widehat {\theta }}_{4}&={\frac {Y_{1}-Y_{2}+Y_{3}-Y_{4}+Y_{5}-Y_{6}+Y_{7}-Y_{8}}{8}}.\\{\widehat {\theta }}_{5}&={\frac {Y_{1}-Y_{2}+Y_{3}-Y_{4}-Y_{5}+Y_{6}-Y_{7}+Y_{8}}{8}}.\\{\widehat {\theta }}_{6}&={\frac {Y_{1}-Y_{2}-Y_{3}+Y_{4}+Y_{5}-Y_{6}-Y_{7}+Y_{8}}{8}}.\\{\widehat {\theta }}_{7}&={\frac {Y_{1}-Y_{2}-Y_{3}+Y_{4}-Y_{5}+Y_{6}+Y_{7}-Y_{8}}{8}}.\\{\widehat {\theta }}_{8}&={\frac {Y_{1}+Y_{2}+Y_{3}+Y_{4}+Y_{5}+Y_{6}+Y_{7}+Y_{8}}{8}}.\end{aligned}}} 2595:
without the interventional element. Thus, when everything else except for one intervention is held constant, researchers can certify with some certainty that this one element is what caused the observed change. In some instances, having a control group is not ethical. This is sometimes solved using two different experimental groups. In some cases, independent variables cannot be manipulated, for example when testing the difference between two groups who have a different disease, or testing the difference between genders (obviously variables that would be hard or unethical to assign participants to). In these cases, a quasi-experimental design may be used.
1174: 672: 7483: 5172: 1169:{\displaystyle {\begin{array}{lcc}&{\text{left pan}}&{\text{right pan}}\\\hline {\text{1st weighing:}}&1\ 2\ 3\ 4\ 5\ 6\ 7\ 8&{\text{(empty)}}\\{\text{2nd:}}&1\ 2\ 3\ 8\ &4\ 5\ 6\ 7\\{\text{3rd:}}&1\ 4\ 5\ 8\ &2\ 3\ 6\ 7\\{\text{4th:}}&1\ 6\ 7\ 8\ &2\ 3\ 4\ 5\\{\text{5th:}}&2\ 4\ 6\ 8\ &1\ 3\ 5\ 7\\{\text{6th:}}&2\ 5\ 7\ 8\ &1\ 3\ 4\ 6\\{\text{7th:}}&3\ 4\ 7\ 8\ &1\ 2\ 5\ 6\\{\text{8th:}}&3\ 5\ 6\ 8\ &1\ 2\ 4\ 7\end{array}}} 3684:) "To biologists, he was an architect of the 'modern synthesis' that used mathematical models to integrate Mendelian genetics with Darwin's selection theories. To psychologists, Fisher was the inventor of various statistical tests that are still supposed to be used whenever possible in psychology journals. To farmers, Fisher was the founder of experimental agricultural research, saving millions from starvation through rational crop breeding programs." p.54. 95: 541: 469: 452:; thus they are repeated and full experiments are replicated to help identify the sources of variation, to better estimate the true effects of treatments, to further strengthen the experiment's reliability and validity, and to add to the existing knowledge of the topic. However, certain conditions must be met before the replication of the experiment is commenced: the original research question has been published in a 420:
distinguishes a rigorous, "true" experiment from an observational study or "quasi-experiment". There is an extensive body of mathematical theory that explores the consequences of making the allocation of units to treatments by means of some random mechanism (such as tables of random numbers, or the use of randomization devices such as playing cards or dice). Assigning units to treatments at random tends to mitigate
7469: 2886:. Balancing the constraints are views from the medical field. Regarding the randomization of patients, "... if no one knows which therapy is better, there is no ethical imperative to use one therapy or another." (p 380) Regarding experimental design, "...it is clearly not ethical to place subjects at risk to collect data in a poorly designed study when this situation can be easily avoided...". (p 393) 2424:/8. Thus the second experiment gives us 8 times as much precision for the estimate of a single item, and estimates all items simultaneously, with the same precision. What the second experiment achieves with eight would require 64 weighings if the items are weighed separately. However, note that the estimates for the items obtained in the second experiment have errors that correlate with each other. 494: 36: 7507: 7495: 430:
several subpopulations that somehow differ, and the research requires each subpopulation to be equal in size, stratified sampling can be used. In that way, the units in each subpopulation are randomized, but not the whole sample. The results of an experiment can be generalized reliably from the experimental units to a larger
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that must be held constant to prevent external factors from affecting the results. Experimental design involves not only the selection of suitable independent, dependent, and control variables, but planning the delivery of the experiment under statistically optimal conditions given the constraints of
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In the pure experimental design, the independent (predictor) variable is manipulated by the researcher – that is – every participant of the research is chosen randomly from the population, and each participant chosen is assigned randomly to conditions of the independent variable. Only when this is
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Random assignment is the process of assigning individuals at random to groups or to different groups in an experiment, so that each individual of the population has the same chance of becoming a participant in the study. The random assignment of individuals to groups (or conditions within a group)
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The risks associated with random allocation (such as having a serious imbalance in a key characteristic between a treatment group and a control group) are calculable and hence can be managed down to an acceptable level by using enough experimental units. However, if the population is divided into
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The independent variable of a study often has many levels or different groups. In a true experiment, researchers can have an experimental group, which is where their intervention testing the hypothesis is implemented, and a control group, which has all the same element as the experimental group,
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Another way to prevent this is taking a double-blind design to the data-analysis phase, making the study triple-blind, where the data are sent to a data-analyst unrelated to the research who scrambles up the data so there is no way to know which participants belong to before they are potentially
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An experimental design or randomized clinical trial requires careful consideration of several factors before actually doing the experiment. An experimental design is the laying out of a detailed experimental plan in advance of doing the experiment. Some of the following topics have already been
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journal or widely cited, the researcher is independent of the original experiment, the researcher must first try to replicate the original findings using the original data, and the write-up should state that the study conducted is a replication study that tried to follow the original study as
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It is best that a process be in reasonable statistical control prior to conducting designed experiments. When this is not possible, proper blocking, replication, and randomization allow for the careful conduct of designed experiments. To control for nuisance variables, researchers institute
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Blocking is the non-random arrangement of experimental units into groups (blocks) consisting of units that are similar to one another. Blocking reduces known but irrelevant sources of variation between units and thus allows greater precision in the estimation of the source of variation under
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Orthogonality concerns the forms of comparison (contrasts) that can be legitimately and efficiently carried out. Contrasts can be represented by vectors and sets of orthogonal contrasts are uncorrelated and independently distributed if the data are normal. Because of this independence, each
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The textbooks of D. Montgomery, R. Myers, and G. Box/W. Hunter/J.S. Hunter have reached generations of students and practitioners. Furthermore, there is ongoing discussion of experimental design in the context of model building for models either static or dynamic models, also known as
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phase. When a double-blind design is used, participants are randomly assigned to experimental groups but the researcher is unaware of what participants belong to which group. Therefore, the researcher can not affect the participants' response to the intervention.
2636:(a variable in between the supposed cause (X) and the effect (Y)), and anteceding variables (a variable prior to the supposed cause (X) that is the true cause). When a third variable is involved and has not been controlled for, the relation is said to be a 2686:, which took place during his visit to Indian Statistical Institute in early 1950s. His methods were successfully applied and adopted by Japanese and Indian industries and subsequently were also embraced by US industry albeit with some reservations. 566:
and set of standard weights. Each weighing measures the weight difference between objects in the left pan and any objects in the right pan by adding calibrated weights to the lighter pan until the balance is in equilibrium. Each measurement has a
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to evaluate their ability to discriminate weights. Peirce's experiment inspired other researchers in psychology and education, which developed a research tradition of randomized experiments in laboratories and specialized textbooks in the 1800s.
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researches, in which researchers have to send their data analysis plan to the journal they wish to publish their paper in before they even start their data collection, so no data manipulation is possible.
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Correctly designed experiments advance knowledge in the natural and social sciences and engineering, with design of experiments methodology recognised as a key tool in the successful implementation of a
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The use of a sequence of experiments, where the design of each may depend on the results of previous experiments, including the possible decision to stop experimenting, is within the scope of
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Peirce, Charles Sanders (1883). "A Theory of Probable Inference". In C. S. Peirce (Ed.), Studies in logic by members of the Johns Hopkins University (p. 126–181). Little, Brown and Co (1883)
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available resources. There are multiple approaches for determining the set of design points (unique combinations of the settings of the independent variables) to be used in the experiment.
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Simmons, Joseph; Leif Nelson; Uri Simonsohn (November 2011). "False-Positive Psychology: Undisclosed Flexibility in Data Collection and Analysis Allows Presenting Anything as Significant".
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relationship. In most practical applications of experimental research designs there are several causes (X1, X2, X3). In most designs, only one of these causes is manipulated at a time.
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Indeed, Pierce's work contains one of the earliest explicit endorsements of mathematical randomization as a basis for inference of which I am aware (Peirce, 1957, pages 216–219
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is one example of a control check. Manipulation checks allow investigators to isolate the chief variables to strengthen support that these variables are operating as planned.
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affecting both clinical (medical) trials and behavioral and social science experiments. In the field of toxicology, for example, experimentation is performed on laboratory
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as additional measures. Investigators should ensure that uncontrolled influences (e.g., source credibility perception) do not skew the findings of the study. A
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How feasible is repeated administration of the same measurement instruments to the same units at different occasions, with a post-test and follow-up tests?
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In its simplest form, an experiment aims at predicting the outcome by introducing a change of the preconditions, which is represented by one or more
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Zacks, S. (1996) "Adaptive Designs for Parametric Models". In: Ghosh, S. and Rao, C. R., (Eds) (1996). "Design and Analysis of Experiments,"
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Use of multifactorial experiments instead of the one-factor-at-a-time method. These are efficient at evaluating the effects and possible
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Laws and ethical considerations preclude some carefully designed experiments with human subjects. Legal constraints are dependent on
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Spall, J. C. (2010). "Factorial Design for Efficient Experimentation: Generating Informative Data for System Identification".
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One of the most important requirements of experimental research designs is the necessity of eliminating the effects of
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from the larger population; the probable error of such an extrapolation depends on the sample size, among other things.
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have encompassed and surpassed the cases that concerned early writers. Today, the theory rests on advanced topics in
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have been surveyed by S. Zacks. One specific type of sequential design is the "two-armed bandit", generalized to the
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if we use the first experiment. But if we use the second experiment, the variance of the estimate given above is
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in which the design introduces conditions that directly affect the variation, but may also refer to the design of
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What is the sample size? How many units must be collected for the experiment to be generalisable and have enough
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Educational research: Planning, conducting, and evaluating quantitative and qualitative research (3rd edition)
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Some efficient designs for estimating several main effects were found independently and in near succession by
3351:"Deception, Efficiency, and Random Groups: Psychology and the Gradual Origination of the Random Group Design" 2637: 677: 7849: 7807: 7785: 7755: 7655: 7599: 7582: 7340: 6953: 6893: 6830: 6190: 6052: 6042: 5892: 5806: 5089: 3031: 2694: 449: 153:, also referred to as "output variables" or "response variables." The experimental design may also identify 57: 7958: 7716: 7101: 7038: 5076: 3953: 2911: 2701:
which became the major reference work on the design of experiments for statisticians for years afterwards.
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Bisgaard, S (2008) "Must a Process be in Statistical Control before Conducting Designed Experiments?",
4624: 4606: 1353:{\displaystyle {\widehat {\theta }}_{1}={\frac {Y_{1}+Y_{2}+Y_{3}+Y_{4}-Y_{5}-Y_{6}-Y_{7}-Y_{8}}{8}}.} 8264: 8254: 8110: 7765: 7326: 6901: 6850: 6826: 6788: 6706: 6685: 6637: 6516: 6494: 6463: 6249: 6200: 6118: 6091: 6047: 6003: 5765: 5541: 5421: 5041: 4979: 4973: 4104: 3303:(November 1992). "A Historical View of Statistical Concepts in Psychology and Educational Research". 3016: 2986: 2744: 2717: 2713: 2633: 2488: 2428: 556: 528: 424:, which makes effects due to factors other than the treatment to appear to result from the treatment. 402: 306: 3492: 3408: 3122:
Peirce, Charles Sanders (1887). "Illustrations of the Logic of Science". Open Court (10 June 2014).
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Statistics for Experimenters : An Introduction to Design, Data Analysis, and Model Building
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Nosek, Brian A.; Ebersole, Charles R.; DeHaven, Alexander C.; Mellor, David T. (13 March 2018).
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Myers, Raymond H.; Montgomery, Douglas C.; Vining, G. Geoffrey; Robinson, Timothy J. (2010).
4185:"Physics envy: Do 'hard' sciences hold the solution to the replication crisis in psychology?" 3719: 2584:
Should the client/patient, researcher or even the analyst of the data be blind to conditions?
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of the errors is the same number σ on different weighings; errors on different weighings are
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Guttorp, P.; Lindgren, G. (2009). "Karl Pearson and the Scandinavian school of statistics".
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What is the feasibility of subsequent application of different conditions to the same units?
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Ader, Mellenberg & Hand (2008) "Advising on Research Methods: A consultant's companion"
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How many factors does the design have, and are the levels of these factors fixed or random?
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In some fields of study it is not possible to have independent measurements to a traceable
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Pronzato, L (2008). "Optimal experimental design and some related control problems".
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Forstmeier, Wolfgang; Wagenmakers, Eric-Jan; Parker, Timothy H. (23 November 2016).
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Generalized linear models : with applications in engineering and the sciences
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as experimental designs. This concept played a central role in the development of
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As with other branches of statistics, experimental design is pursued using both
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orthogonal treatment provides different information to the others. If there are
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Walpole, Ronald E.; Myers, Raymond H.; Myers, Sharon L.; Ye, Keying (2007).
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approaches: In evaluating statistical procedures like experimental designs,
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What is the influence of delayed effects of substantive factors on outcomes?
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How many of each control and noise factors should be taken into account?
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The Mating Mind: how sexual choice shaped the evolution of human nature
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in the Opera Magistris v3.6 online reference Chapter 15, section 7.4,
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The question of design of experiments is: which experiment is better?
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conditions that influence the variation are selected for observation.
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The dose makes the poison : a plain-language guide to toxicology
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Statistics for Experimenters : Design, Innovation, and Discovery
3443:(July–August 1967). "Note on the Theory of the Economy of Research". 2750:
Some important contributors to the field of experimental designs are
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published optimal designs for polynomials of degree six (and less).
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are a problem, in that they can lead to conscious or unconscious "
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Similar estimates can be found for the weights of the other items:
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Main concerns in experimental design include the establishment of
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Box, George E.P.; Hunter, William G.; Hunter, J. Stuart (2005).
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Box, George E.P.; Hunter, William G.; Hunter, J. Stuart (1978).
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Wald, A. (1945) "Sequential Tests of Statistical Hypotheses",
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in the context of sequential tests of statistical hypotheses.
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also contributed the first English-language publication on an
29: 5197: 4287:(8 ed.). Upper Saddle River, NJ: Pearson Prentice Hall. 659:
Do the eight weighings according to the following schedule—a
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Weigh each object in one pan, with the other pan empty. Let
4066:"Why Statistically Significant Studies Can Be Insignificant" 2539:
discussed in the principles of experimental design section:
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Probability & statistics for engineers & scientists
4262:(8th ed.). Hoboken, NJ: John Wiley & Sons, Inc. 3742: 3401:(1876). "Note on the Theory of the Economy of Research". 2534:
Discussion topics when setting up an experimental design
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of several factors (independent variables). Analysis of
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A methodology for designing experiments was proposed by
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Johnson, N.L. (1961). "Sequential analysis: a survey."
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Are control conditions needed, and what should they be?
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wrote an overview of optimal sequential designs, while
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Burman, Leonard E.; Robert W. Reed; James Alm (2010),
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What is the relevance of interactions between factors?
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Manipulation checks: did the manipulation really work?
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Detailed mathematical developments of most common DoE
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Autoregressive conditional heteroskedasticity (ARCH)
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David, Sharoon; Khandhar1, Paras B. (17 July 2023).
2882:
with the goal of defining safe exposure limits for
1195:= 1, ..., 8. Then the estimated value of the weight 547:
This example of design experiments is attributed to
254:
Charles S. Peirce randomly assigned volunteers to a
202:
Statistical experiments, following Charles S. Peirce
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How do response shifts affect self-report measures?
2427:Many problems of the design of experiments involve 555:. The experiments designed in this example involve 4702:"NIST/SEMATECH Handbook on Engineering Statistics" 4689:"NIST/SEMATECH Handbook on Engineering Statistics" 2386: 1352: 1168: 628: 448:Measurements are usually subject to variation and 629:{\displaystyle \theta _{1},\dots ,\theta _{8}.\,} 6658:Multivariate adaptive regression splines (MARS) 4237:. New York, N.Y: Wiley. pp. 53, 159, 264. 4097:Proceedings of the National Academy of Sciences 409:or traditional treatment that acts as baseline. 4576:(1878 April), "The Probability of Induction", 562:Weights of eight objects are measured using a 434:of units only if the experimental units are a 8070: 7539: 5213: 4740: 3635:Bulletin of the American Mathematical Society 3154:"Mathematical statistics in the early States" 8: 4467:Statistics : concepts and controversies 3906:11245.1/31f84a5b-4439-4a4c-a690-6e98354199f5 3846: 3844: 4555:, vols. 12–13. Relevant individual papers: 3975:: CS1 maint: numeric names: authors list ( 3235: 3233: 3220:Memoirs of the National Academy of Sciences 3202: 3200: 8077: 8063: 8055: 7751: 7546: 7532: 7524: 7267: 7254: 7171: 6977: 6846: 6821: 6592: 6568: 6296: 6079: 5880: 5867: 5650: 5637: 5276: 5267: 5254: 5220: 5206: 5198: 4747: 4733: 4725: 4630:(1883), "A Theory of Probable Inference", 4465:Moore, David S.; Notz, William I. (2006). 3827:. New York, N.Y: Wiley. pp. 350–359. 2997:Multifactor design of experiments software 652:be the measured weight of the object, for 4558:(1878 March), "The Doctrine of Chances", 4433: 4134: 4116: 4034:"Science, Trust And Psychology in Crisis" 3904: 3894: 3805: 3646: 3491: 3295: 3293: 3169: 2456:, are an inherent hazard in many fields. 2365: 2352: 2339: 2326: 2313: 2300: 2287: 2274: 2267: 2254: 2243: 2242: 2222: 2209: 2196: 2183: 2170: 2157: 2144: 2131: 2124: 2111: 2100: 2099: 2079: 2066: 2053: 2040: 2027: 2014: 2001: 1988: 1981: 1968: 1957: 1956: 1936: 1923: 1910: 1897: 1884: 1871: 1858: 1845: 1838: 1825: 1814: 1813: 1793: 1780: 1767: 1754: 1741: 1728: 1715: 1702: 1695: 1682: 1671: 1670: 1650: 1637: 1624: 1611: 1598: 1585: 1572: 1559: 1552: 1539: 1528: 1527: 1507: 1494: 1481: 1468: 1455: 1442: 1429: 1416: 1409: 1396: 1385: 1384: 1379: 1377: 1335: 1322: 1309: 1296: 1283: 1270: 1257: 1244: 1237: 1228: 1217: 1216: 1213: 1108: 1050: 992: 934: 876: 818: 760: 751: 697: 688: 681: 676: 674: 625: 616: 597: 591: 527:design is built on the foundation of the 80:Learn how and when to remove this message 7838:Preventable fraction among the unexposed 7834:Attributable fraction for the population 3559:Journal of the Royal Statistical Society 467: 7842:Preventable fraction for the population 7830:Attributable fraction among the exposed 3583: 3581: 3344: 3342: 3090: 639:We consider two different experiments: 7184:Kaplan–Meier estimator (product limit) 3968: 3592:Sequential Analysis and Optimal Design 2660:, but remained little known until the 2526:is also important in order to support 2479:Experimental designs with undisclosed 2448:conclusions, often resulting from the 497:Example of orthogonal factorial design 4231:Giri, Narayan C.; Das, M. N. (1979). 3942: 3940: 3821:Giri, Narayan C.; Das, M. N. (1979). 2495:until they return a figure below the 267:Optimal designs for regression models 228:Illustrations of the Logic of Science 106:with second-degree polynomial (right) 7: 8005:Correlation does not imply causation 7921:Animal testing on non-human primates 7494: 7194:Accelerated failure time (AFT) model 4594:(1878 June), "The Order of Nature", 4364:(2 ed.). Hoboken, N.J.: Wiley. 4312:(2 ed.). Hoboken, N.J.: Wiley. 3063:Royal Commission on Animal Magnetism 379:The Arrangement of Field Experiments 7506: 6789:Analysis of variance (ANOVA, anova) 5096:Generalized randomized block design 3216:"On Small Differences in Sensation" 6884:Cochran–Mantel–Haenszel statistics 5510:Pearson product-moment correlation 4260:Design and analysis of experiments 4234:Design and Analysis of Experiments 3824:Design and Analysis of Experiments 2552:What are the background variables? 571:. The average error is zero; the 361:, on which early work was done by 25: 8163:Failure mode and effects analysis 5147:Sequential probability ratio test 3794:Annals of Mathematical Statistics 3573:Annals of Mathematical Statistics 2644:Experimental designs after Fisher 2574:What about using a proxy pretest? 2431:, as in this example and others. 656: = 1, ..., 8. 7505: 7493: 7481: 7468: 7467: 5170: 5072:Polynomial and rational modeling 4444:10.1016/j.automatica.2007.05.016 4093:"The preregistration revolution" 3743:"A call for replication studies" 3502:10.1111/j.1751-5823.2009.00069.x 3480:International Statistical Review 3407:, actually published 1879, NOAA 345:, a field that was pioneered by 98:Design of experiments with full 34: 7143:Least-squares spectral analysis 4183:Chris Chambers (10 June 2014). 3648:10.1090/S0002-9904-1952-09620-8 2967:Glossary of experimental design 1191:be the measured difference for 7888:Pre- and post-test probability 7610:Patient and public involvement 6124:Mean-unbiased minimum-variance 4839:Replication versus subsampling 3851:Jack Sifri (8 December 2014). 3429:, paragraphs 139–157, also in 2704:Developments of the theory of 2670:in 1946. About the same time, 2506:P-hacking can be prevented by 583:. Denote the true weights by 232:A Theory of Probable Inference 1: 7437:Geographic information system 6653:Simultaneous equations models 4387:IEEE Control Systems Magazine 4042:. 2 June 2014. Archived from 3349:Trudy Dehue (December 1997). 3305:American Journal of Education 2858:Human participant constraints 2402:The variance of the estimate 8015:Sex as a biological variable 6620:Coefficient of determination 6231:Uniformly most powerful test 5066:Response surface methodology 4974:Analysis of variance (Anova) 4258:Montgomery, Douglas (2013). 3611:, Volume 13. North-Holland. 2902:Bayesian experimental design 2866:. Constraints may involve 2658:Indian Statistical Institute 551:, building on examples from 273:Response surface methodology 8275:Statistical process control 8210:Statistical process control 7979:Intention-to-treat analysis 7951:Analysis of clinical trials 7880:Specificity and sensitivity 7634:Randomized controlled trial 7189:Proportional hazards models 7133:Spectral density estimation 7115:Vector autoregression (VAR) 6549:Maximum posterior estimator 5781:Randomized controlled trial 5136:Randomized controlled trial 4517:Glantz, Stanton A. (1992). 4490:Ottoboni, M. Alice (1991). 3037:Randomized controlled trial 3022:Protocol (natural sciences) 3002:One-factor-at-a-time method 2962:Fractional factorial design 2868:institutional review boards 2674:introduced the concepts of 377:, in his innovative books: 60:the claims made and adding 8306: 6949:Multivariate distributions 5369:Average absolute deviation 4562:, v. 12, March issue, pp. 3788:Hotelling, Harold (1944). 2942:Controlling for a variable 2438: 516:Multifactorial experiments 368: 329:Multi-armed bandit problem 326: 320: 276: 270: 247: 241: 211: 205: 8228: 8023: 7988:Interpretation of results 7721:Nested case–control study 7463: 7266: 7253: 6937:Structural equation model 6845: 6820: 6591: 6567: 6299: 6273:Score/Lagrange multiplier 5879: 5866: 5688:Sample size determination 5649: 5636: 5266: 5253: 5235: 5155: 4674:Resources in your library 4221:, ASQ, 20 (2), pp 143–176 3052:Sample size determination 3027:Quasi-experimental design 2897:Adversarial collaboration 384:The Design of Experiments 8132:Business process mapping 7590:Academic clinical trials 7432:Environmental statistics 6954:Elliptical distributions 6747:Generalized linear model 6676:Simple linear regression 6446:Hodges–Lehmann estimator 5903:Probability distribution 5812:Stochastic approximation 5374:Coefficient of variation 5122:Repeated measures design 4834:Restricted randomization 4004:10.1177/0956797611417632 3761:10.1177/1091142110385210 3619:. (pages 151–180) 3575:, 16 (2), 117–186. 2917:Central composite design 2747:on the parameter space. 2745:probability distribution 2515:taken away as outliers. 2501:statistical significance 2435:Avoiding false positives 577:probability distribution 317:Sequences of experiments 260:repeated-measures design 250:Repeated measures design 8290:Mathematics in medicine 7808:Relative risk reduction 7656:Adaptive clinical trial 7600:Evidence-based medicine 7583:Adaptive clinical trial 7092:Cross-correlation (XCF) 6700:Non-standard predictors 6134:Lehmann–ScheffĂŠ theorem 5807:Adaptive clinical trial 4614:Popular Science Monthly 4596:Popular Science Monthly 4578:Popular Science Monthly 4560:Popular Science Monthly 4553:Popular Science Monthly 4520:Primer of biostatistics 4399:10.1109/MCS.2010.937677 4118:10.1073/pnas.1708274114 3807:10.1214/aoms/1177731236 3693:Creswell, J.W. (2008), 3544:10.1093/biomet/12.1-2.1 3208:Peirce, Charles Sanders 3047:Robust parameter design 3032:Randomized block design 2695:William Gemmell Cochran 2662:Plackett–Burman designs 2467:potentially leading to 450:measurement uncertainty 444:Statistical replication 18:Experimental techniques 8260:Industrial engineering 7796:Number needed to treat 7488:Mathematics portal 7309:Engineering statistics 7217:Nelson–Aalen estimator 6794:Analysis of covariance 6681:Ordinary least squares 6605:Pearson product-moment 6009:Statistical functional 5920:Empirical distribution 5753:Controlled experiments 5482:Frequency distribution 5260:Descriptive statistics 5177:Mathematics portal 4939:Ordinary least squares 3609:Handbook of Statistics 3171:10.1214/aos/1176344123 3012:Plackett–Burman design 2977:Industrial engineering 2733:frequentist statistics 2528:replication of results 2388: 1354: 1170: 630: 544: 498: 473: 432:statistical population 297:in 1876. A pioneering 238:Randomized experiments 208:Frequentist statistics 107: 8270:Quantitative research 8250:Design of experiments 8184:Design of experiments 8106:Voice of the customer 7800:Number needed to harm 7687:Cross-sectional study 7639:Scientific experiment 7595:Clinical study design 7404:Population statistics 7346:System identification 7080:Autocorrelation (ACF) 7008:Exponential smoothing 6922:Discriminant analysis 6917:Canonical correlation 6781:Partition of variance 6643:Regression validation 6487:(Jonckheere–Terpstra) 6386:Likelihood-ratio test 6075:Frequentist inference 5987:Location–scale family 5908:Sampling distribution 5873:Statistical inference 5840:Cross-sectional study 5827:Observational studies 5786:Randomized experiment 5615:Stem-and-leaf display 5417:Central limit theorem 4774:Scientific experiment 4756:Design of experiments 3992:Psychological Science 3954:StatPearls Publishing 3748:Public Finance Review 3457:10.1287/opre.15.4.643 3073:System identification 2953:-related experiments) 2927:Clinical study design 2852:system identification 2737:sampling distribution 2699:Experimental Designs, 2634:intervening variables 2429:combinatorial designs 2389: 1355: 1171: 631: 557:combinatorial designs 543: 496: 471: 457:strictly as possible. 303:polynomial regression 220:statistical inference 147:independent variables 112:design of experiments 97: 8111:Value-stream mapping 7766:Cumulative incidence 7327:Probabilistic design 6912:Principal components 6755:Exponential families 6707:Nonlinear regression 6686:General linear model 6648:Mixed effects models 6638:Errors and residuals 6615:Confounding variable 6517:Bayesian probability 6495:Van der Waerden test 6485:Ordered alternative 6250:Multiple comparisons 6129:Rao–Blackwellization 6092:Estimating equations 6048:Statistical distance 5766:Factorial experiment 5299:Arithmetic-Geometric 5048:Fractional factorial 3949:"Double-Blind Study" 3668:, London: Heineman, 3629:Robbins, H. (1952). 3438:, pp. 72–78, and in 3414:2 March 2017 at the 3158:Annals of Statistics 3017:Probabilistic design 2987:Law of large numbers 2816:Friedrich Pukelsheim 2630:antecedent variables 2522:of the experimental 2489:statistical analysis 2461:double-blind designs 2452:or the author's own 1376: 1212: 673: 590: 529:analysis of variance 230:" (1877–1878) and " 8285:Systems engineering 8158:Root cause analysis 7673:Observational study 7605:Real world evidence 7559:experimental design 7399:Official statistics 7322:Methods engineering 7003:Seasonal adjustment 6771:Poisson regressions 6691:Bayesian regression 6630:Regression analysis 6610:Partial correlation 6582:Regression analysis 6181:Prediction interval 6176:Likelihood interval 6166:Confidence interval 6158:Interval estimation 6119:Unbiased estimators 5937:Model specification 5817:Up-and-down designs 5505:Partial correlation 5461:Index of dispersion 5379:Interquartile range 5182:Statistical outline 5142:Sequential analysis 5107:Graeco-Latin square 5016:Multiple comparison 4963:Hierarchical model: 4698:Box–Behnken designs 4665:Experimental design 4339:. New York: Wiley. 4219:Quality Engineering 4109:2018PNAS..115.2600N 3716:"Replication study" 3445:Operations Research 3403:Coast Survey Report 3150:Stigler, Stephen M. 2992:Manipulation checks 2932:Computer experiment 2741:Bayesian statistics 2697:published the book 2628:, intervening, and 2608:Statistical control 2599:Causal attributions 2518:Clear and complete 2450:pressure to publish 573:standard deviations 369:Fisher's principles 343:sequential analysis 323:Sequential analysis 151:dependent variables 128:experimental design 8280:Statistical theory 8137:Process capability 7959:Risk–benefit ratio 7926:First-in-man study 7876:Case fatality rate 7717:Case–control study 7691:Longitudinal study 7419:Spatial statistics 7299:Medical statistics 7199:First hitting time 7153:Whittle likelihood 6804:Degrees of freedom 6799:Multivariate ANOVA 6732:Heteroscedasticity 6544:Bayesian estimator 6509:Bayesian inference 6358:Kolmogorov–Smirnov 6243:Randomization test 6213:Testing hypotheses 6186:Tolerance interval 6097:Maximum likelihood 5992:Exponential family 5925:Density estimation 5885:Statistical theory 5845:Natural experiment 5791:Scientific control 5708:Survey methodology 5394:Standard deviation 5187:Statistical topics 4779:Statistical design 3883:Biological Reviews 3301:Stephen M. Stigler 2912:Box–Behnken design 2836:William J. Studden 2664:were published in 2619:manipulation check 2493:degrees of freedom 2481:degrees of freedom 2384: 2382: 1350: 1166: 1164: 626: 545: 499: 474: 407:scientific control 403:metrology standard 359:multi-armed bandit 309:in 1815. In 1918, 108: 45:possibly contains 8237: 8236: 8052: 8051: 8000:Survivorship bias 7964:Systematic review 7931:Multicenter trial 7894: 7893: 7884:Likelihood-ratios 7856:Clinical endpoint 7824:Population impact 7778:Period prevalence 7555:Clinical research 7521: 7520: 7459: 7458: 7455: 7454: 7394:National accounts 7364:Actuarial science 7356:Social statistics 7249: 7248: 7245: 7244: 7241: 7240: 7176:Survival function 7161: 7160: 7023:Granger causality 6864:Contingency table 6839:Survival analysis 6816: 6815: 6812: 6811: 6668:Linear regression 6563: 6562: 6559: 6558: 6534:Credible interval 6503: 6502: 6286: 6285: 6102:Method of moments 5971:Parametric family 5932:Statistical model 5862: 5861: 5858: 5857: 5776:Random assignment 5698:Statistical power 5632: 5631: 5628: 5627: 5477:Contingency table 5447: 5446: 5314:Generalized/power 5195: 5194: 5082:Central composite 4980:Cochran's theorem 4934:Linear regression 4911:Nuisance variable 4824:Random assignment 4801:Experimental unit 4719:978-2-8399-0932-7 4660:Library resources 4530:978-0-07-023511-3 4346:978-0-471-09315-2 4103:(11): 2600–2606. 3998:(11): 1359–1366. 3896:10.1111/brv.12315 3714:Dr. Hani (2009). 3676:(also Doubleday, 2982:Instrument effect 2691:Gertrude Mary Cox 2676:orthogonal arrays 2579:lurking variables 2454:confirmation bias 2375: 2251: 2232: 2108: 2089: 1965: 1946: 1822: 1803: 1679: 1660: 1536: 1517: 1393: 1345: 1225: 1158: 1152: 1146: 1138: 1132: 1126: 1120: 1111: 1100: 1094: 1088: 1080: 1074: 1068: 1062: 1053: 1042: 1036: 1030: 1022: 1016: 1010: 1004: 995: 984: 978: 972: 964: 958: 952: 946: 937: 926: 920: 914: 906: 900: 894: 888: 879: 868: 862: 856: 848: 842: 836: 830: 821: 810: 804: 798: 790: 784: 778: 772: 763: 754: 745: 739: 733: 727: 721: 715: 709: 700: 691: 684: 472:Blocking (right) 305:was suggested by 284:Charles S. Peirce 244:Random assignment 224:Charles S. Peirce 222:was developed by 187:Quality by Design 175:statistical power 155:control variables 136:quasi-experiments 124:experiment design 122:), also known as 90: 89: 82: 47:original research 16:(Redirected from 8297: 8168:Multi-vari chart 8079: 8072: 8065: 8056: 7899:Trial/test types 7774:Point prevalence 7752: 7695:Ecological study 7678:EBM II-2 to II-3 7649:Open-label trial 7644:Blind experiment 7620:Controlled study 7548: 7541: 7534: 7525: 7509: 7508: 7497: 7496: 7486: 7485: 7471: 7470: 7374:Crime statistics 7268: 7255: 7172: 7138:Fourier analysis 7125:Frequency domain 7105: 7052: 7018:Structural break 6978: 6927:Cluster analysis 6874:Log-linear model 6847: 6822: 6763: 6737:Homoscedasticity 6593: 6569: 6488: 6480: 6472: 6471:(Kruskal–Wallis) 6456: 6441: 6396:Cross validation 6381: 6363:Anderson–Darling 6310: 6297: 6268:Likelihood-ratio 6260:Parametric tests 6238:Permutation test 6221:1- & 2-tails 6112:Minimum distance 6084:Point estimation 6080: 6031:Optimal decision 5982: 5881: 5868: 5850:Quasi-experiment 5800:Adaptive designs 5651: 5638: 5515:Rank correlation 5277: 5268: 5255: 5222: 5215: 5208: 5199: 5175: 5174: 5112:Orthogonal array 4749: 4742: 4735: 4726: 4632:Studies in Logic 4622:Internet Archive 4604:Internet Archive 4586:Internet Archive 4568:Internet Archive 4535: 4534: 4523:(3rd ed.). 4514: 4508: 4507: 4487: 4481: 4480: 4462: 4456: 4455: 4437: 4417: 4411: 4410: 4382: 4376: 4375: 4357: 4351: 4350: 4330: 4324: 4323: 4305: 4299: 4298: 4280: 4274: 4273: 4255: 4249: 4248: 4228: 4222: 4215: 4209: 4206: 4200: 4199: 4197: 4195: 4180: 4174: 4173: 4171: 4169: 4155: 4149: 4148: 4138: 4120: 4088: 4082: 4081: 4079: 4077: 4070:Pacific Standard 4062: 4056: 4055: 4053: 4051: 4030: 4024: 4023: 3987: 3981: 3980: 3974: 3966: 3944: 3935: 3934: 3908: 3898: 3889:(4): 1941–1968. 3874: 3868: 3867: 3865: 3863: 3848: 3839: 3838: 3818: 3812: 3811: 3809: 3785: 3779: 3778: 3777: 3775: 3738: 3732: 3731: 3729: 3727: 3718:. Archived from 3711: 3705: 3691: 3685: 3662:Miller, Geoffrey 3659: 3653: 3652: 3650: 3626: 3620: 3605: 3599: 3598:Monograph, 1972. 3585: 3576: 3569: 3563: 3554: 3548: 3547: 3520: 3514: 3513: 3495: 3475: 3469: 3468: 3423:Collected Papers 3406: 3395: 3389: 3388: 3346: 3337: 3336: 3297: 3288: 3287: 3237: 3228: 3227: 3204: 3195: 3194: 3173: 3146: 3140: 3137: 3131: 3120: 3114: 3113: 3111: 3109: 3095: 2937:Control variable 2872:informed consent 2832:J. N. Srivastava 2828:Shrikhande S. S. 2650:Raj Chandra Bose 2393: 2391: 2390: 2385: 2383: 2376: 2371: 2370: 2369: 2357: 2356: 2344: 2343: 2331: 2330: 2318: 2317: 2305: 2304: 2292: 2291: 2279: 2278: 2268: 2259: 2258: 2253: 2252: 2244: 2233: 2228: 2227: 2226: 2214: 2213: 2201: 2200: 2188: 2187: 2175: 2174: 2162: 2161: 2149: 2148: 2136: 2135: 2125: 2116: 2115: 2110: 2109: 2101: 2090: 2085: 2084: 2083: 2071: 2070: 2058: 2057: 2045: 2044: 2032: 2031: 2019: 2018: 2006: 2005: 1993: 1992: 1982: 1973: 1972: 1967: 1966: 1958: 1947: 1942: 1941: 1940: 1928: 1927: 1915: 1914: 1902: 1901: 1889: 1888: 1876: 1875: 1863: 1862: 1850: 1849: 1839: 1830: 1829: 1824: 1823: 1815: 1804: 1799: 1798: 1797: 1785: 1784: 1772: 1771: 1759: 1758: 1746: 1745: 1733: 1732: 1720: 1719: 1707: 1706: 1696: 1687: 1686: 1681: 1680: 1672: 1661: 1656: 1655: 1654: 1642: 1641: 1629: 1628: 1616: 1615: 1603: 1602: 1590: 1589: 1577: 1576: 1564: 1563: 1553: 1544: 1543: 1538: 1537: 1529: 1518: 1513: 1512: 1511: 1499: 1498: 1486: 1485: 1473: 1472: 1460: 1459: 1447: 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charter 8089: 8083: 8053: 8048: 8019: 7983: 7945: 7890: 7844: 7818: 7792:Risk difference 7780: 7741: 7675: 7667: 7622: 7614: 7578:Trial protocols 7561: 7552: 7522: 7517: 7480: 7451: 7413: 7350: 7336:quality control 7303: 7285:Clinical trials 7262: 7237: 7221: 7209:Hazard function 7203: 7157: 7119: 7103: 7066: 7062:Breusch–Godfrey 7050: 7027: 6967: 6942:Factor analysis 6888: 6869:Graphical model 6841: 6808: 6775: 6761: 6741: 6695: 6662: 6624: 6587: 6586: 6555: 6499: 6486: 6478: 6470: 6454: 6439: 6418:Rank statistics 6412: 6391:Model selection 6379: 6337:Goodness of fit 6331: 6308: 6282: 6254: 6207: 6152: 6141:Median unbiased 6069: 5980: 5913:Order statistic 5875: 5854: 5821: 5795: 5747: 5702: 5645: 5643:Data collection 5624: 5536: 5491: 5465: 5443: 5403: 5355: 5272:Continuous data 5262: 5249: 5231: 5226: 5196: 5191: 5169: 5151: 5128:Crossover study 5119: 5117:Latin hypercube 5053:Plackett–Burman 5032: 5029: 5028: 5020: 4923: 4915: 4856: 4848: 4765: 4758: 4753: 4680: 4679: 4678: 4668: 4667: 4663: 4656: 4651: 4544: 4539: 4538: 4531: 4516: 4515: 4511: 4504: 4489: 4488: 4484: 4477: 4464: 4463: 4459: 4419: 4418: 4414: 4384: 4383: 4379: 4372: 4359: 4358: 4354: 4347: 4332: 4331: 4327: 4320: 4307: 4306: 4302: 4295: 4282: 4281: 4277: 4270: 4257: 4256: 4252: 4245: 4230: 4229: 4225: 4216: 4212: 4207: 4203: 4193: 4191: 4189:theguardian.com 4182: 4181: 4177: 4167: 4165: 4163:www.acf.hhs.gov 4157: 4156: 4152: 4090: 4089: 4085: 4075: 4073: 4064: 4063: 4059: 4049: 4047: 4046:on 14 July 2014 4032: 4031: 4027: 3989: 3988: 3984: 3967: 3946: 3945: 3938: 3876: 3875: 3871: 3861: 3859: 3850: 3849: 3842: 3835: 3820: 3819: 3815: 3787: 3786: 3782: 3773: 3771: 3740: 3739: 3735: 3725: 3723: 3713: 3712: 3708: 3692: 3688: 3660: 3656: 3628: 3627: 3623: 3606: 3602: 3588:Herman Chernoff 3586: 3579: 3570: 3566: 3555: 3551: 3524:Smith, Kirstine 3522: 3521: 3517: 3493:10.1.1.368.8328 3477: 3476: 3472: 3439: 3419: 3416:Wayback Machine 3397: 3396: 3392: 3348: 3347: 3340: 3299: 3298: 3291: 3240: 3238: 3231: 3212:Jastrow, Joseph 3206: 3205: 3198: 3148: 3147: 3143: 3138: 3134: 3121: 3117: 3107: 3105: 3097: 3096: 3092: 3087: 3082: 3078:Taguchi methods 3068:Survey sampling 3042:Research design 2957:Factor analysis 2892: 2876:confidentiality 2860: 2684:Genichi Taguchi 2680:Taguchi methods 2656:in 1940 at the 2646: 2610: 2601: 2536: 2473:data collection 2469:false positives 2443: 2437: 2415: 2408: 2381: 2380: 2361: 2348: 2335: 2322: 2309: 2296: 2283: 2270: 2269: 2260: 2241: 2238: 2237: 2218: 2205: 2192: 2179: 2166: 2153: 2140: 2127: 2126: 2117: 2098: 2095: 2094: 2075: 2062: 2049: 2036: 2023: 2010: 1997: 1984: 1983: 1974: 1955: 1952: 1951: 1932: 1919: 1906: 1893: 1880: 1867: 1854: 1841: 1840: 1831: 1812: 1809: 1808: 1789: 1776: 1763: 1750: 1737: 1724: 1711: 1698: 1697: 1688: 1669: 1666: 1665: 1646: 1633: 1620: 1607: 1594: 1581: 1568: 1555: 1554: 1545: 1526: 1523: 1522: 1503: 1490: 1477: 1464: 1451: 1438: 1425: 1412: 1411: 1402: 1383: 1374: 1373: 1331: 1318: 1305: 1292: 1279: 1266: 1253: 1240: 1239: 1215: 1210: 1209: 1201: 1190: 1163: 1162: 1139: 1113: 1105: 1104: 1081: 1055: 1047: 1046: 1023: 997: 989: 988: 965: 939: 931: 930: 907: 881: 873: 872: 849: 823: 815: 814: 791: 765: 757: 756: 749: 702: 694: 693: 686: 671: 670: 661:weighing matrix 651: 612: 593: 588: 587: 538: 507:treatments and 371: 363:Herbert Robbins 351:Herman Chernoff 339: 325: 319: 281: 275: 269: 252: 246: 240: 216: 210: 204: 199: 86: 75: 69: 66: 51: 39: 35: 28: 27:Design of tasks 23: 22: 15: 12: 11: 5: 8303: 8301: 8293: 8292: 8287: 8282: 8277: 8272: 8267: 8262: 8257: 8252: 8242: 8241: 8235: 8234: 8229: 8226: 8225: 8223: 8222: 8217: 8212: 8207: 8201: 8199: 8195: 8194: 8192: 8191: 8186: 8180: 8178: 8174: 8173: 8171: 8170: 8165: 8160: 8154: 8152: 8148: 8147: 8145: 8144: 8139: 8134: 8128: 8126: 8122: 8121: 8119: 8118: 8113: 8108: 8103: 8097: 8095: 8091: 8090: 8084: 8082: 8081: 8074: 8067: 8059: 8050: 8049: 8047: 8046: 8043:List of topics 8039: 8032: 8024: 8021: 8020: 8018: 8017: 8012: 8007: 8002: 7997: 7995:Selection bias 7991: 7989: 7985: 7984: 7982: 7981: 7976: 7971: 7966: 7961: 7955: 7953: 7947: 7946: 7944: 7943: 7938: 7933: 7928: 7923: 7918: 7916:Animal testing 7913: 7908: 7902: 7900: 7896: 7895: 7892: 7891: 7868:Mortality rate 7854: 7852: 7846: 7845: 7828: 7826: 7820: 7819: 7790: 7788: 7782: 7781: 7760: 7758: 7749: 7743: 7742: 7740: 7739: 7734: 7729: 7724: 7714: 7713: 7712: 7707: 7697: 7683: 7681: 7669: 7668: 7666: 7665: 7664: 7663: 7661:Platform trial 7653: 7652: 7651: 7646: 7641: 7630: 7628: 7616: 7615: 7613: 7612: 7607: 7602: 7597: 7592: 7587: 7586: 7585: 7580: 7573:Clinical trial 7569: 7567: 7563: 7562: 7553: 7551: 7550: 7543: 7536: 7528: 7519: 7518: 7516: 7515: 7503: 7491: 7477: 7464: 7461: 7460: 7457: 7456: 7453: 7452: 7450: 7449: 7444: 7439: 7434: 7429: 7423: 7421: 7415: 7414: 7412: 7411: 7406: 7401: 7396: 7391: 7386: 7381: 7376: 7371: 7366: 7360: 7358: 7352: 7351: 7349: 7348: 7343: 7338: 7329: 7324: 7319: 7313: 7311: 7305: 7304: 7302: 7301: 7296: 7291: 7282: 7280:Bioinformatics 7276: 7274: 7264: 7263: 7258: 7251: 7250: 7247: 7246: 7243: 7242: 7239: 7238: 7236: 7235: 7229: 7227: 7223: 7222: 7220: 7219: 7213: 7211: 7205: 7204: 7202: 7201: 7196: 7191: 7186: 7180: 7178: 7169: 7163: 7162: 7159: 7158: 7156: 7155: 7150: 7145: 7140: 7135: 7129: 7127: 7121: 7120: 7118: 7117: 7112: 7107: 7099: 7094: 7089: 7088: 7087: 7085:partial (PACF) 7076: 7074: 7068: 7067: 7065: 7064: 7059: 7054: 7046: 7041: 7035: 7033: 7032:Specific tests 7029: 7028: 7026: 7025: 7020: 7015: 7010: 7005: 7000: 6995: 6990: 6984: 6982: 6975: 6969: 6968: 6966: 6965: 6964: 6963: 6962: 6961: 6946: 6945: 6944: 6934: 6932:Classification 6929: 6924: 6919: 6914: 6909: 6904: 6898: 6896: 6890: 6889: 6887: 6886: 6881: 6879:McNemar's test 6876: 6871: 6866: 6861: 6855: 6853: 6843: 6842: 6825: 6818: 6817: 6814: 6813: 6810: 6809: 6807: 6806: 6801: 6796: 6791: 6785: 6783: 6777: 6776: 6774: 6773: 6757: 6751: 6749: 6743: 6742: 6740: 6739: 6734: 6729: 6724: 6719: 6717:Semiparametric 6714: 6709: 6703: 6701: 6697: 6696: 6694: 6693: 6688: 6683: 6678: 6672: 6670: 6664: 6663: 6661: 6660: 6655: 6650: 6645: 6640: 6634: 6632: 6626: 6625: 6623: 6622: 6617: 6612: 6607: 6601: 6599: 6589: 6588: 6585: 6584: 6579: 6573: 6572: 6565: 6564: 6561: 6560: 6557: 6556: 6554: 6553: 6552: 6551: 6541: 6536: 6531: 6530: 6529: 6524: 6513: 6511: 6505: 6504: 6501: 6500: 6498: 6497: 6492: 6491: 6490: 6482: 6474: 6458: 6455:(Mann–Whitney) 6450: 6449: 6448: 6435: 6434: 6433: 6422: 6420: 6414: 6413: 6411: 6410: 6409: 6408: 6403: 6398: 6388: 6383: 6380:(Shapiro–Wilk) 6375: 6370: 6365: 6360: 6355: 6347: 6341: 6339: 6333: 6332: 6330: 6329: 6321: 6312: 6300: 6294: 6292:Specific tests 6288: 6287: 6284: 6283: 6281: 6280: 6275: 6270: 6264: 6262: 6256: 6255: 6253: 6252: 6247: 6246: 6245: 6235: 6234: 6233: 6223: 6217: 6215: 6209: 6208: 6206: 6205: 6204: 6203: 6198: 6188: 6183: 6178: 6173: 6168: 6162: 6160: 6154: 6153: 6151: 6150: 6145: 6144: 6143: 6138: 6137: 6136: 6131: 6116: 6115: 6114: 6109: 6104: 6099: 6088: 6086: 6077: 6071: 6070: 6068: 6067: 6062: 6057: 6056: 6055: 6045: 6040: 6039: 6038: 6028: 6027: 6026: 6021: 6016: 6006: 6001: 5996: 5995: 5994: 5989: 5984: 5968: 5967: 5966: 5961: 5956: 5946: 5945: 5944: 5939: 5929: 5928: 5927: 5917: 5916: 5915: 5905: 5900: 5895: 5889: 5887: 5877: 5876: 5871: 5864: 5863: 5860: 5859: 5856: 5855: 5853: 5852: 5847: 5842: 5837: 5831: 5829: 5823: 5822: 5820: 5819: 5814: 5809: 5803: 5801: 5797: 5796: 5794: 5793: 5788: 5783: 5778: 5773: 5768: 5763: 5757: 5755: 5749: 5748: 5746: 5745: 5743:Standard error 5740: 5735: 5730: 5729: 5728: 5723: 5712: 5710: 5704: 5703: 5701: 5700: 5695: 5690: 5685: 5680: 5675: 5673:Optimal design 5670: 5665: 5659: 5657: 5647: 5646: 5641: 5634: 5633: 5630: 5629: 5626: 5625: 5623: 5622: 5617: 5612: 5607: 5602: 5597: 5592: 5587: 5582: 5577: 5572: 5567: 5562: 5557: 5552: 5546: 5544: 5538: 5537: 5535: 5534: 5529: 5528: 5527: 5522: 5512: 5507: 5501: 5499: 5493: 5492: 5490: 5489: 5484: 5479: 5473: 5471: 5470:Summary tables 5467: 5466: 5464: 5463: 5457: 5455: 5449: 5448: 5445: 5444: 5442: 5441: 5440: 5439: 5434: 5429: 5419: 5413: 5411: 5405: 5404: 5402: 5401: 5396: 5391: 5386: 5381: 5376: 5371: 5365: 5363: 5357: 5356: 5354: 5353: 5348: 5343: 5342: 5341: 5336: 5331: 5326: 5321: 5316: 5311: 5306: 5304:Contraharmonic 5301: 5296: 5285: 5283: 5274: 5264: 5263: 5258: 5251: 5250: 5248: 5247: 5242: 5236: 5233: 5232: 5227: 5225: 5224: 5217: 5210: 5202: 5193: 5192: 5190: 5189: 5184: 5179: 5167: 5162: 5156: 5153: 5152: 5150: 5149: 5144: 5139: 5131: 5130: 5125: 5114: 5109: 5104: 5099: 5093: 5085: 5084: 5079: 5074: 5069: 5061: 5060: 5055: 5050: 5045: 5037: 5035: 5022: 5021: 5019: 5018: 5013: 5007: 5006: 4994: 4982: 4977: 4969: 4968: 4960: 4955: 4947: 4946: 4941: 4936: 4930: 4928: 4917: 4916: 4914: 4913: 4908: 4903: 4896: 4891: 4886: 4881: 4876: 4871: 4863: 4861: 4850: 4849: 4847: 4846: 4841: 4836: 4831: 4826: 4821: 4814:Optimal design 4809: 4808: 4803: 4798: 4786: 4781: 4776: 4770: 4768: 4760: 4759: 4754: 4752: 4751: 4744: 4737: 4729: 4723: 4722: 4708: 4695: 4677: 4676: 4670: 4669: 4658: 4657: 4655: 4654:External links 4652: 4650: 4649: 4648: 4647: 4628: 4610: 4592: 4574: 4545: 4543: 4540: 4537: 4536: 4529: 4509: 4503:978-0442006600 4502: 4482: 4475: 4457: 4428:(2): 303–325. 4412: 4377: 4371:978-0471718130 4370: 4352: 4345: 4325: 4319:978-0470454633 4318: 4300: 4294:978-0131877115 4293: 4275: 4268: 4250: 4243: 4223: 4210: 4201: 4175: 4150: 4083: 4057: 4025: 3982: 3936: 3869: 3840: 3833: 3813: 3800:(3): 297–306. 3780: 3755:(6): 787–793, 3733: 3722:on 2 June 2012 3706: 3686: 3654: 3641:(5): 527–535. 3621: 3600: 3577: 3564: 3549: 3515: 3470: 3451:(4): 643–648. 3390: 3369:10.1086/383850 3363:(4): 653–673. 3338: 3317:10.1086/444032 3289: 3260:10.1086/354775 3254:(3): 427–451. 3229: 3196: 3164:(2): 239–65 . 3141: 3132: 3115: 3089: 3088: 3086: 3083: 3081: 3080: 3075: 3070: 3065: 3060: 3057:Supersaturated 3054: 3049: 3044: 3039: 3034: 3029: 3024: 3019: 3014: 3009: 3007:Optimal design 3004: 2999: 2994: 2989: 2984: 2979: 2974: 2972:Grey box model 2969: 2964: 2959: 2954: 2944: 2939: 2934: 2929: 2924: 2922:Clinical trial 2919: 2914: 2909: 2904: 2899: 2893: 2891: 2888: 2859: 2856: 2768:A. C. Atkinson 2710:linear algebra 2645: 2642: 2615:control checks 2609: 2606: 2600: 2597: 2592: 2591: 2588: 2585: 2582: 2575: 2572: 2569: 2566: 2563: 2560: 2553: 2550: 2547: 2544: 2535: 2532: 2508:preregistering 2497:p<.05 level 2446:False positive 2436: 2433: 2413: 2406: 2397: 2396: 2395: 2394: 2379: 2374: 2368: 2364: 2360: 2355: 2351: 2347: 2342: 2338: 2334: 2329: 2325: 2321: 2316: 2312: 2308: 2303: 2299: 2295: 2290: 2286: 2282: 2277: 2273: 2266: 2263: 2261: 2257: 2250: 2247: 2240: 2239: 2236: 2231: 2225: 2221: 2217: 2212: 2208: 2204: 2199: 2195: 2191: 2186: 2182: 2178: 2173: 2169: 2165: 2160: 2156: 2152: 2147: 2143: 2139: 2134: 2130: 2123: 2120: 2118: 2114: 2107: 2104: 2097: 2096: 2093: 2088: 2082: 2078: 2074: 2069: 2065: 2061: 2056: 2052: 2048: 2043: 2039: 2035: 2030: 2026: 2022: 2017: 2013: 2009: 2004: 2000: 1996: 1991: 1987: 1980: 1977: 1975: 1971: 1964: 1961: 1954: 1953: 1950: 1945: 1939: 1935: 1931: 1926: 1922: 1918: 1913: 1909: 1905: 1900: 1896: 1892: 1887: 1883: 1879: 1874: 1870: 1866: 1861: 1857: 1853: 1848: 1844: 1837: 1834: 1832: 1828: 1821: 1818: 1811: 1810: 1807: 1802: 1796: 1792: 1788: 1783: 1779: 1775: 1770: 1766: 1762: 1757: 1753: 1749: 1744: 1740: 1736: 1731: 1727: 1723: 1718: 1714: 1710: 1705: 1701: 1694: 1691: 1689: 1685: 1678: 1675: 1668: 1667: 1664: 1659: 1653: 1649: 1645: 1640: 1636: 1632: 1627: 1623: 1619: 1614: 1610: 1606: 1601: 1597: 1593: 1588: 1584: 1580: 1575: 1571: 1567: 1562: 1558: 1551: 1548: 1546: 1542: 1535: 1532: 1525: 1524: 1521: 1516: 1510: 1506: 1502: 1497: 1493: 1489: 1484: 1480: 1476: 1471: 1467: 1463: 1458: 1454: 1450: 1445: 1441: 1437: 1432: 1428: 1424: 1419: 1415: 1408: 1405: 1403: 1399: 1392: 1389: 1382: 1381: 1368: 1367: 1363: 1362: 1361: 1360: 1349: 1344: 1338: 1334: 1330: 1325: 1321: 1317: 1312: 1308: 1304: 1299: 1295: 1291: 1286: 1282: 1278: 1273: 1269: 1265: 1260: 1256: 1252: 1247: 1243: 1236: 1231: 1224: 1221: 1204: 1203: 1199: 1186: 1179: 1178: 1177: 1176: 1161: 1155: 1149: 1143: 1140: 1135: 1129: 1123: 1117: 1114: 1107: 1106: 1103: 1097: 1091: 1085: 1082: 1077: 1071: 1065: 1059: 1056: 1049: 1048: 1045: 1039: 1033: 1027: 1024: 1019: 1013: 1007: 1001: 998: 991: 990: 987: 981: 975: 969: 966: 961: 955: 949: 943: 940: 933: 932: 929: 923: 917: 911: 908: 903: 897: 891: 885: 882: 875: 874: 871: 865: 859: 853: 850: 845: 839: 833: 827: 824: 817: 816: 813: 807: 801: 795: 792: 787: 781: 775: 769: 766: 759: 758: 750: 748: 742: 736: 730: 724: 718: 712: 706: 703: 696: 695: 687: 680: 678: 665: 664: 657: 647: 637: 636: 624: 619: 615: 611: 608: 605: 600: 596: 537: 534: 533: 532: 517: 513: 512: 491: 490: 485: 483: 481: 478: 477: 465: 459: 458: 446: 440: 439: 426: 425: 417: 411: 410: 399: 370: 367: 337:Optimal design 321:Main article: 318: 315: 311:Kirstine Smith 299:optimal design 288:optimal design 279:Optimal design 271:Main article: 268: 265: 242:Main article: 239: 236: 206:Main article: 203: 200: 198: 195: 88: 87: 42: 40: 33: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 8302: 8291: 8288: 8286: 8283: 8281: 8278: 8276: 8273: 8271: 8268: 8266: 8263: 8261: 8258: 8256: 8253: 8251: 8248: 8247: 8245: 8232: 8227: 8221: 8218: 8216: 8213: 8211: 8208: 8206: 8203: 8202: 8200: 8198:Control phase 8196: 8190: 8187: 8185: 8182: 8181: 8179: 8177:Improve phase 8175: 8169: 8166: 8164: 8161: 8159: 8156: 8155: 8153: 8151:Analyse phase 8149: 8143: 8140: 8138: 8135: 8133: 8130: 8129: 8127: 8125:Measure phase 8123: 8117: 8114: 8112: 8109: 8107: 8104: 8102: 8099: 8098: 8096: 8092: 8087: 8080: 8075: 8073: 8068: 8066: 8061: 8060: 8057: 8045: 8044: 8040: 8038: 8037: 8033: 8031: 8030: 8026: 8025: 8022: 8016: 8013: 8011: 8008: 8006: 8003: 8001: 7998: 7996: 7993: 7992: 7990: 7986: 7980: 7977: 7975: 7974:Meta-analysis 7972: 7970: 7967: 7965: 7962: 7960: 7957: 7956: 7954: 7952: 7948: 7942: 7941:Vaccine trial 7939: 7937: 7936:Seeding trial 7934: 7932: 7929: 7927: 7924: 7922: 7919: 7917: 7914: 7912: 7909: 7907: 7904: 7903: 7901: 7897: 7889: 7885: 7881: 7877: 7873: 7869: 7865: 7861: 7857: 7853: 7851: 7847: 7843: 7839: 7835: 7831: 7827: 7825: 7821: 7817: 7813: 7809: 7805: 7801: 7797: 7793: 7789: 7787: 7783: 7779: 7775: 7771: 7767: 7763: 7759: 7757: 7753: 7750: 7748: 7744: 7738: 7735: 7733: 7730: 7728: 7725: 7722: 7718: 7715: 7711: 7708: 7706: 7705:Retrospective 7703: 7702: 7701: 7698: 7696: 7692: 7688: 7685: 7684: 7682: 7679: 7674: 7670: 7662: 7659: 7658: 7657: 7654: 7650: 7647: 7645: 7642: 7640: 7637: 7636: 7635: 7632: 7631: 7629: 7626: 7625:EBM I to II-1 7621: 7617: 7611: 7608: 7606: 7603: 7601: 7598: 7596: 7593: 7591: 7588: 7584: 7581: 7579: 7576: 7575: 7574: 7571: 7570: 7568: 7564: 7560: 7556: 7549: 7544: 7542: 7537: 7535: 7530: 7529: 7526: 7514: 7513: 7504: 7502: 7501: 7492: 7490: 7489: 7484: 7478: 7476: 7475: 7466: 7465: 7462: 7448: 7445: 7443: 7442:Geostatistics 7440: 7438: 7435: 7433: 7430: 7428: 7425: 7424: 7422: 7420: 7416: 7410: 7409:Psychometrics 7407: 7405: 7402: 7400: 7397: 7395: 7392: 7390: 7387: 7385: 7382: 7380: 7377: 7375: 7372: 7370: 7367: 7365: 7362: 7361: 7359: 7357: 7353: 7347: 7344: 7342: 7339: 7337: 7333: 7330: 7328: 7325: 7323: 7320: 7318: 7315: 7314: 7312: 7310: 7306: 7300: 7297: 7295: 7292: 7290: 7286: 7283: 7281: 7278: 7277: 7275: 7273: 7272:Biostatistics 7269: 7265: 7261: 7256: 7252: 7234: 7233:Log-rank test 7231: 7230: 7228: 7224: 7218: 7215: 7214: 7212: 7210: 7206: 7200: 7197: 7195: 7192: 7190: 7187: 7185: 7182: 7181: 7179: 7177: 7173: 7170: 7168: 7164: 7154: 7151: 7149: 7146: 7144: 7141: 7139: 7136: 7134: 7131: 7130: 7128: 7126: 7122: 7116: 7113: 7111: 7108: 7106: 7104:(Box–Jenkins) 7100: 7098: 7095: 7093: 7090: 7086: 7083: 7082: 7081: 7078: 7077: 7075: 7073: 7069: 7063: 7060: 7058: 7057:Durbin–Watson 7055: 7053: 7047: 7045: 7042: 7040: 7039:Dickey–Fuller 7037: 7036: 7034: 7030: 7024: 7021: 7019: 7016: 7014: 7013:Cointegration 7011: 7009: 7006: 7004: 7001: 6999: 6996: 6994: 6991: 6989: 6988:Decomposition 6986: 6985: 6983: 6979: 6976: 6974: 6970: 6960: 6957: 6956: 6955: 6952: 6951: 6950: 6947: 6943: 6940: 6939: 6938: 6935: 6933: 6930: 6928: 6925: 6923: 6920: 6918: 6915: 6913: 6910: 6908: 6905: 6903: 6900: 6899: 6897: 6895: 6891: 6885: 6882: 6880: 6877: 6875: 6872: 6870: 6867: 6865: 6862: 6860: 6859:Cohen's kappa 6857: 6856: 6854: 6852: 6848: 6844: 6840: 6836: 6832: 6828: 6823: 6819: 6805: 6802: 6800: 6797: 6795: 6792: 6790: 6787: 6786: 6784: 6782: 6778: 6772: 6768: 6764: 6758: 6756: 6753: 6752: 6750: 6748: 6744: 6738: 6735: 6733: 6730: 6728: 6725: 6723: 6720: 6718: 6715: 6713: 6712:Nonparametric 6710: 6708: 6705: 6704: 6702: 6698: 6692: 6689: 6687: 6684: 6682: 6679: 6677: 6674: 6673: 6671: 6669: 6665: 6659: 6656: 6654: 6651: 6649: 6646: 6644: 6641: 6639: 6636: 6635: 6633: 6631: 6627: 6621: 6618: 6616: 6613: 6611: 6608: 6606: 6603: 6602: 6600: 6598: 6594: 6590: 6583: 6580: 6578: 6575: 6574: 6570: 6566: 6550: 6547: 6546: 6545: 6542: 6540: 6537: 6535: 6532: 6528: 6525: 6523: 6520: 6519: 6518: 6515: 6514: 6512: 6510: 6506: 6496: 6493: 6489: 6483: 6481: 6475: 6473: 6467: 6466: 6465: 6462: 6461:Nonparametric 6459: 6457: 6451: 6447: 6444: 6443: 6442: 6436: 6432: 6431:Sample median 6429: 6428: 6427: 6424: 6423: 6421: 6419: 6415: 6407: 6404: 6402: 6399: 6397: 6394: 6393: 6392: 6389: 6387: 6384: 6382: 6376: 6374: 6371: 6369: 6366: 6364: 6361: 6359: 6356: 6354: 6352: 6348: 6346: 6343: 6342: 6340: 6338: 6334: 6328: 6326: 6322: 6320: 6318: 6313: 6311: 6306: 6302: 6301: 6298: 6295: 6293: 6289: 6279: 6276: 6274: 6271: 6269: 6266: 6265: 6263: 6261: 6257: 6251: 6248: 6244: 6241: 6240: 6239: 6236: 6232: 6229: 6228: 6227: 6224: 6222: 6219: 6218: 6216: 6214: 6210: 6202: 6199: 6197: 6194: 6193: 6192: 6189: 6187: 6184: 6182: 6179: 6177: 6174: 6172: 6169: 6167: 6164: 6163: 6161: 6159: 6155: 6149: 6146: 6142: 6139: 6135: 6132: 6130: 6127: 6126: 6125: 6122: 6121: 6120: 6117: 6113: 6110: 6108: 6105: 6103: 6100: 6098: 6095: 6094: 6093: 6090: 6089: 6087: 6085: 6081: 6078: 6076: 6072: 6066: 6063: 6061: 6058: 6054: 6051: 6050: 6049: 6046: 6044: 6041: 6037: 6036:loss function 6034: 6033: 6032: 6029: 6025: 6022: 6020: 6017: 6015: 6012: 6011: 6010: 6007: 6005: 6002: 6000: 5997: 5993: 5990: 5988: 5985: 5983: 5977: 5974: 5973: 5972: 5969: 5965: 5962: 5960: 5957: 5955: 5952: 5951: 5950: 5947: 5943: 5940: 5938: 5935: 5934: 5933: 5930: 5926: 5923: 5922: 5921: 5918: 5914: 5911: 5910: 5909: 5906: 5904: 5901: 5899: 5896: 5894: 5891: 5890: 5888: 5886: 5882: 5878: 5874: 5869: 5865: 5851: 5848: 5846: 5843: 5841: 5838: 5836: 5833: 5832: 5830: 5828: 5824: 5818: 5815: 5813: 5810: 5808: 5805: 5804: 5802: 5798: 5792: 5789: 5787: 5784: 5782: 5779: 5777: 5774: 5772: 5769: 5767: 5764: 5762: 5759: 5758: 5756: 5754: 5750: 5744: 5741: 5739: 5738:Questionnaire 5736: 5734: 5731: 5727: 5724: 5722: 5719: 5718: 5717: 5714: 5713: 5711: 5709: 5705: 5699: 5696: 5694: 5691: 5689: 5686: 5684: 5681: 5679: 5676: 5674: 5671: 5669: 5666: 5664: 5661: 5660: 5658: 5656: 5652: 5648: 5644: 5639: 5635: 5621: 5618: 5616: 5613: 5611: 5608: 5606: 5603: 5601: 5598: 5596: 5593: 5591: 5588: 5586: 5583: 5581: 5578: 5576: 5573: 5571: 5568: 5566: 5565:Control chart 5563: 5561: 5558: 5556: 5553: 5551: 5548: 5547: 5545: 5543: 5539: 5533: 5530: 5526: 5523: 5521: 5518: 5517: 5516: 5513: 5511: 5508: 5506: 5503: 5502: 5500: 5498: 5494: 5488: 5485: 5483: 5480: 5478: 5475: 5474: 5472: 5468: 5462: 5459: 5458: 5456: 5454: 5450: 5438: 5435: 5433: 5430: 5428: 5425: 5424: 5423: 5420: 5418: 5415: 5414: 5412: 5410: 5406: 5400: 5397: 5395: 5392: 5390: 5387: 5385: 5382: 5380: 5377: 5375: 5372: 5370: 5367: 5366: 5364: 5362: 5358: 5352: 5349: 5347: 5344: 5340: 5337: 5335: 5332: 5330: 5327: 5325: 5322: 5320: 5317: 5315: 5312: 5310: 5307: 5305: 5302: 5300: 5297: 5295: 5292: 5291: 5290: 5287: 5286: 5284: 5282: 5278: 5275: 5273: 5269: 5265: 5261: 5256: 5252: 5246: 5243: 5241: 5238: 5237: 5234: 5230: 5223: 5218: 5216: 5211: 5209: 5204: 5203: 5200: 5188: 5185: 5183: 5180: 5178: 5173: 5168: 5166: 5163: 5161: 5158: 5157: 5154: 5148: 5145: 5143: 5140: 5138: 5137: 5133: 5132: 5129: 5126: 5124: 5123: 5118: 5115: 5113: 5110: 5108: 5105: 5103: 5100: 5097: 5094: 5092: 5091: 5087: 5086: 5083: 5080: 5078: 5075: 5073: 5070: 5068: 5067: 5063: 5062: 5059: 5056: 5054: 5051: 5049: 5046: 5044: 5043: 5039: 5038: 5036: 5034: 5027: 5023: 5017: 5014: 5012: 5011:Compare means 5009: 5008: 5005: 5003: 4999: 4995: 4993: 4991: 4987: 4983: 4981: 4978: 4976: 4975: 4971: 4970: 4967: 4964: 4961: 4959: 4956: 4954: 4953: 4952:Random effect 4949: 4948: 4945: 4942: 4940: 4937: 4935: 4932: 4931: 4929: 4927: 4922: 4918: 4912: 4909: 4907: 4904: 4902: 4901: 4897: 4895: 4894:Orthogonality 4892: 4890: 4887: 4885: 4882: 4880: 4877: 4875: 4872: 4870: 4869: 4865: 4864: 4862: 4860: 4855: 4851: 4845: 4842: 4840: 4837: 4835: 4832: 4830: 4829:Randomization 4827: 4825: 4822: 4820: 4816: 4815: 4811: 4810: 4807: 4804: 4802: 4799: 4797: 4794: 4790: 4787: 4785: 4782: 4780: 4777: 4775: 4772: 4771: 4769: 4767: 4761: 4757: 4750: 4745: 4743: 4738: 4736: 4731: 4730: 4727: 4720: 4716: 4712: 4709: 4707: 4703: 4699: 4696: 4694: 4690: 4686: 4682: 4681: 4675: 4672: 4671: 4666: 4661: 4653: 4645: 4644:90-272-3271-7 4641: 4637: 4633: 4629: 4626: 4623: 4619: 4616:, v. 13, pp. 4615: 4611: 4608: 4605: 4601: 4598:, v. 13, pp. 4597: 4593: 4590: 4587: 4583: 4580:, v. 12, pp. 4579: 4575: 4572: 4569: 4565: 4561: 4557: 4556: 4554: 4550: 4549:Peirce, C. S. 4547: 4546: 4541: 4532: 4526: 4522: 4521: 4513: 4510: 4505: 4499: 4495: 4494: 4486: 4483: 4478: 4476:9780716786368 4472: 4468: 4461: 4458: 4453: 4449: 4445: 4441: 4436: 4431: 4427: 4423: 4416: 4413: 4408: 4404: 4400: 4396: 4392: 4388: 4381: 4378: 4373: 4367: 4363: 4356: 4353: 4348: 4342: 4338: 4337: 4329: 4326: 4321: 4315: 4311: 4304: 4301: 4296: 4290: 4286: 4279: 4276: 4271: 4269:9781118146927 4265: 4261: 4254: 4251: 4246: 4244:9780852269145 4240: 4236: 4235: 4227: 4224: 4220: 4214: 4211: 4205: 4202: 4190: 4186: 4179: 4176: 4164: 4160: 4154: 4151: 4146: 4142: 4137: 4132: 4128: 4124: 4119: 4114: 4110: 4106: 4102: 4098: 4094: 4087: 4084: 4072:. 4 June 2014 4071: 4067: 4061: 4058: 4045: 4041: 4040: 4035: 4029: 4026: 4021: 4017: 4013: 4009: 4005: 4001: 3997: 3993: 3986: 3983: 3978: 3972: 3964: 3960: 3956: 3955: 3950: 3943: 3941: 3937: 3932: 3928: 3924: 3920: 3916: 3912: 3907: 3902: 3897: 3892: 3888: 3884: 3880: 3873: 3870: 3858: 3854: 3847: 3845: 3841: 3836: 3834:9780852269145 3830: 3826: 3825: 3817: 3814: 3808: 3803: 3799: 3795: 3791: 3784: 3781: 3770: 3766: 3762: 3758: 3754: 3750: 3749: 3744: 3737: 3734: 3721: 3717: 3710: 3707: 3704: 3703:0-13-613550-1 3700: 3696: 3690: 3687: 3683: 3682:0-385-49516-1 3679: 3675: 3674:0-434-00741-2 3671: 3667: 3663: 3658: 3655: 3649: 3644: 3640: 3636: 3632: 3625: 3622: 3618: 3617:0-444-82061-2 3614: 3610: 3604: 3601: 3597: 3593: 3589: 3584: 3582: 3578: 3574: 3568: 3565: 3561: 3560: 3553: 3550: 3545: 3541: 3538:(1–2): 1–85. 3537: 3533: 3529: 3525: 3519: 3516: 3511: 3507: 3503: 3499: 3494: 3489: 3485: 3481: 3474: 3471: 3466: 3462: 3458: 3454: 3450: 3446: 3442: 3441:Peirce, C. S. 3437: 3434: 3433: 3428: 3425: 3424: 3420:Reprinted in 3417: 3413: 3410: 3404: 3400: 3399:Peirce, C. S. 3394: 3391: 3386: 3382: 3378: 3374: 3370: 3366: 3362: 3358: 3357: 3352: 3345: 3343: 3339: 3334: 3330: 3326: 3322: 3318: 3314: 3310: 3306: 3302: 3296: 3294: 3290: 3285: 3281: 3277: 3273: 3269: 3265: 3261: 3257: 3253: 3249: 3248: 3243: 3236: 3234: 3230: 3225: 3221: 3217: 3213: 3209: 3203: 3201: 3197: 3193: 3189: 3185: 3181: 3177: 3172: 3167: 3163: 3159: 3155: 3151: 3145: 3142: 3136: 3133: 3129: 3125: 3119: 3116: 3104: 3103:prismtc.co.uk 3100: 3094: 3091: 3084: 3079: 3076: 3074: 3071: 3069: 3066: 3064: 3061: 3058: 3055: 3053: 3050: 3048: 3045: 3043: 3040: 3038: 3035: 3033: 3030: 3028: 3025: 3023: 3020: 3018: 3015: 3013: 3010: 3008: 3005: 3003: 3000: 2998: 2995: 2993: 2990: 2988: 2985: 2983: 2980: 2978: 2975: 2973: 2970: 2968: 2965: 2963: 2960: 2958: 2955: 2952: 2948: 2947:Experimetrics 2945: 2943: 2940: 2938: 2935: 2933: 2930: 2928: 2925: 2923: 2920: 2918: 2915: 2913: 2910: 2908: 2905: 2903: 2900: 2898: 2895: 2894: 2889: 2887: 2885: 2881: 2877: 2873: 2869: 2865: 2857: 2855: 2853: 2847: 2845: 2841: 2837: 2833: 2829: 2825: 2821: 2820:D. Raghavarao 2817: 2813: 2812:Andrej PĂĄzman 2809: 2805: 2804:O. Kempthorne 2801: 2797: 2796:A. S. Hedayat 2793: 2792:V. V. Fedorov 2789: 2788:W. T. Federer 2785: 2784:W. G. Cochran 2781: 2777: 2773: 2769: 2765: 2761: 2757: 2753: 2748: 2746: 2742: 2738: 2734: 2730: 2726: 2721: 2719: 2718:combinatorics 2715: 2711: 2707: 2706:linear models 2702: 2700: 2696: 2692: 2687: 2685: 2681: 2677: 2673: 2669: 2668: 2663: 2659: 2655: 2651: 2643: 2641: 2639: 2635: 2631: 2627: 2622: 2620: 2616: 2607: 2605: 2598: 2596: 2589: 2586: 2583: 2580: 2576: 2573: 2570: 2567: 2564: 2561: 2558: 2554: 2551: 2548: 2545: 2542: 2541: 2540: 2533: 2531: 2529: 2525: 2521: 2520:documentation 2516: 2512: 2509: 2504: 2502: 2498: 2494: 2490: 2486: 2482: 2477: 2474: 2470: 2466: 2462: 2457: 2455: 2451: 2447: 2442: 2434: 2432: 2430: 2425: 2423: 2419: 2412: 2405: 2400: 2377: 2372: 2366: 2362: 2358: 2353: 2349: 2345: 2340: 2336: 2332: 2327: 2323: 2319: 2314: 2310: 2306: 2301: 2297: 2293: 2288: 2284: 2280: 2275: 2271: 2264: 2262: 2255: 2248: 2245: 2234: 2229: 2223: 2219: 2215: 2210: 2206: 2202: 2197: 2193: 2189: 2184: 2180: 2176: 2171: 2167: 2163: 2158: 2154: 2150: 2145: 2141: 2137: 2132: 2128: 2121: 2119: 2112: 2105: 2102: 2091: 2086: 2080: 2076: 2072: 2067: 2063: 2059: 2054: 2050: 2046: 2041: 2037: 2033: 2028: 2024: 2020: 2015: 2011: 2007: 2002: 1998: 1994: 1989: 1985: 1978: 1976: 1969: 1962: 1959: 1948: 1943: 1937: 1933: 1929: 1924: 1920: 1916: 1911: 1907: 1903: 1898: 1894: 1890: 1885: 1881: 1877: 1872: 1868: 1864: 1859: 1855: 1851: 1846: 1842: 1835: 1833: 1826: 1819: 1816: 1805: 1800: 1794: 1790: 1786: 1781: 1777: 1773: 1768: 1764: 1760: 1755: 1751: 1747: 1742: 1738: 1734: 1729: 1725: 1721: 1716: 1712: 1708: 1703: 1699: 1692: 1690: 1683: 1676: 1673: 1662: 1657: 1651: 1647: 1643: 1638: 1634: 1630: 1625: 1621: 1617: 1612: 1608: 1604: 1599: 1595: 1591: 1586: 1582: 1578: 1573: 1569: 1565: 1560: 1556: 1549: 1547: 1540: 1533: 1530: 1519: 1514: 1508: 1504: 1500: 1495: 1491: 1487: 1482: 1478: 1474: 1469: 1465: 1461: 1456: 1452: 1448: 1443: 1439: 1435: 1430: 1426: 1422: 1417: 1413: 1406: 1404: 1397: 1390: 1387: 1372: 1371: 1370: 1369: 1365: 1364: 1347: 1342: 1336: 1332: 1328: 1323: 1319: 1315: 1310: 1306: 1302: 1297: 1293: 1289: 1284: 1280: 1276: 1271: 1267: 1263: 1258: 1254: 1250: 1245: 1241: 1234: 1229: 1222: 1219: 1208: 1207: 1206: 1205: 1198: 1194: 1189: 1185: 1181: 1180: 1159: 1153: 1147: 1141: 1133: 1127: 1121: 1115: 1101: 1095: 1089: 1083: 1075: 1069: 1063: 1057: 1043: 1037: 1031: 1025: 1017: 1011: 1005: 999: 985: 979: 973: 967: 959: 953: 947: 941: 927: 921: 915: 909: 901: 895: 889: 883: 869: 863: 857: 851: 843: 837: 831: 825: 811: 805: 799: 793: 785: 779: 773: 767: 746: 740: 734: 728: 722: 716: 710: 704: 699:1st weighing: 669: 668: 667: 666: 662: 658: 655: 650: 646: 642: 641: 640: 622: 617: 613: 609: 606: 603: 598: 594: 586: 585: 584: 582: 578: 574: 570: 565: 560: 558: 554: 550: 542: 535: 530: 526: 522: 518: 515: 514: 510: 506: 501: 500: 495: 489: 488:Orthogonality 486: 484: 482: 480: 479: 470: 466: 464: 461: 460: 455: 454:peer-reviewed 451: 447: 445: 442: 441: 437: 436:random sample 433: 428: 427: 423: 418: 416: 415:Randomization 413: 412: 408: 404: 400: 397: 396: 395: 393: 390: 386: 385: 380: 376: 375:Ronald Fisher 366: 364: 360: 356: 352: 348: 344: 338: 334: 333:Gittins index 330: 324: 316: 314: 312: 308: 304: 300: 296: 293: 289: 285: 280: 274: 266: 264: 261: 257: 251: 245: 237: 235: 233: 229: 225: 221: 215: 214:Randomization 209: 201: 196: 194: 192: 188: 182: 180: 176: 172: 171:replicability 168: 164: 159: 156: 152: 148: 143: 141: 137: 133: 129: 125: 121: 117: 113: 105: 101: 96: 92: 84: 81: 73: 70:December 2020 63: 59: 55: 49: 48: 43:This article 41: 32: 31: 19: 8205:Control plan 8183: 8142:Pareto chart 8094:Define phase 8041: 8034: 8027: 7816:Hazard ratio 7700:Cohort study 7558: 7510: 7498: 7479: 7472: 7384:Econometrics 7334: / 7317:Chemometrics 7294:Epidemiology 7287: / 7260:Applications 7102:ARIMA model 7049:Q-statistic 6998:Stationarity 6894:Multivariate 6837: / 6833: / 6831:Multivariate 6829: / 6769: / 6765: / 6539:Bayes factor 6438:Signed rank 6350: 6324: 6316: 6304: 5999:Completeness 5835:Cohort study 5733:Opinion poll 5668:Missing data 5655:Study design 5654: 5610:Scatter plot 5532:Scatter plot 5525:Spearman's ρ 5487:Grouped data 5134: 5120: 5102:Latin square 5088: 5064: 5040: 5025: 5001: 4997: 4990:multivariate 4989: 4985: 4972: 4950: 4898: 4866: 4812: 4778: 4755: 4664: 4631: 4621: 4613: 4603: 4595: 4585: 4577: 4567: 4559: 4552: 4519: 4512: 4492: 4485: 4466: 4460: 4425: 4421: 4415: 4393:(5): 38–53. 4390: 4386: 4380: 4361: 4355: 4335: 4328: 4309: 4303: 4284: 4278: 4259: 4253: 4233: 4226: 4218: 4213: 4204: 4192:. Retrieved 4188: 4178: 4166:. Retrieved 4162: 4153: 4100: 4096: 4086: 4074:. Retrieved 4069: 4060: 4048:. Retrieved 4044:the original 4037: 4028: 3995: 3991: 3985: 3971:cite journal 3952: 3886: 3882: 3872: 3860:. Retrieved 3856: 3823: 3816: 3797: 3793: 3783: 3772:, retrieved 3752: 3746: 3736: 3724:. Retrieved 3720:the original 3709: 3694: 3689: 3665: 3657: 3638: 3634: 3624: 3608: 3603: 3591: 3567: 3557: 3552: 3535: 3531: 3518: 3483: 3479: 3473: 3448: 3444: 3435: 3430: 3426: 3421: 3402: 3393: 3360: 3354: 3311:(1): 60–70. 3308: 3304: 3251: 3245: 3242:Hacking, Ian 3223: 3219: 3191: 3161: 3157: 3144: 3135: 3118: 3106:. Retrieved 3102: 3093: 2951:econometrics 2907:Block design 2883: 2879: 2864:jurisdiction 2861: 2848: 2808:J. A. Nelder 2780:G. E. P. Box 2772:R. A. Bailey 2756:R. A. Fisher 2752:C. S. Peirce 2749: 2735:studies the 2722: 2703: 2698: 2688: 2665: 2647: 2623: 2614: 2611: 2602: 2593: 2537: 2517: 2513: 2505: 2478: 2463:can prevent 2458: 2444: 2426: 2421: 2417: 2410: 2403: 2401: 2398: 1196: 1192: 1187: 1183: 653: 648: 644: 638: 569:random error 561: 546: 521:interactions 508: 504: 382: 378: 372: 347:Abraham Wald 340: 282: 253: 218:A theory of 217: 183: 160: 144: 127: 123: 119: 115: 111: 109: 91: 76: 67: 44: 8265:Metascience 8255:Experiments 8010:Null result 7969:Replication 7864:Infectivity 7786:Association 7737:Case report 7727:Case series 7710:Prospective 7512:WikiProject 7427:Cartography 7389:Jurimetrics 7341:Reliability 7072:Time domain 7051:(Ljung–Box) 6973:Time-series 6851:Categorical 6835:Time-series 6827:Categorical 6762:(Bernoulli) 6597:Correlation 6577:Correlation 6373:Jarque–Bera 6345:Chi-squared 6107:M-estimator 6060:Asymptotics 6004:Sufficiency 5771:Interaction 5683:Replication 5663:Effect size 5620:Violin plot 5600:Radar chart 5580:Forest plot 5570:Correlogram 5520:Kendall's τ 5077:Box–Behnken 4958:Mixed model 4889:Confounding 4884:Interaction 4874:Effect size 4844:Sample size 3862:11 February 3857:youtube.com 2725:frequentist 2524:methodology 2441:Metascience 581:independent 564:pan balance 553:Frank Yates 422:confounding 381:(1926) and 191:metascience 179:sensitivity 167:reliability 138:, in which 132:experiments 8244:Categories 7812:Odds ratio 7804:Risk ratio 7770:Prevalence 7756:Occurrence 7732:Case study 7379:Demography 7097:ARMA model 6902:Regression 6479:(Friedman) 6440:(Wilcoxon) 6378:Normality 6368:Lilliefors 6315:Student's 6191:Resampling 6065:Robustness 6053:divergence 6043:Efficiency 5981:(monotone) 5976:Likelihood 5893:Population 5726:Stratified 5678:Population 5497:Dependence 5453:Count data 5384:Percentile 5361:Dispersion 5294:Arithmetic 5229:Statistics 5033:randomized 5031:Completely 5002:covariance 4764:Scientific 4422:Automatica 3774:27 October 3726:27 October 3532:Biometrika 3409:PDF Eprint 3405:: 197–201. 3128:0812698495 3085:References 2844:H. P. Wynn 2840:G. Taguchi 2764:R. C. Bose 2743:updates a 2667:Biometrika 2638:zero order 2577:Are there 2439:See also: 525:experiment 398:Comparison 392:hypothesis 327:See also: 292:regression 277:See also: 248:See also: 212:See also: 54:improve it 8220:Poka-yoke 8086:Six Sigma 7872:Morbidity 7860:Virulence 7762:Incidence 6760:Logistic 6527:posterior 6453:Rank sum 6201:Jackknife 6196:Bootstrap 6014:Bootstrap 5949:Parameter 5898:Statistic 5693:Statistic 5605:Run chart 5590:Pie chart 5585:Histogram 5575:Fan chart 5550:Bar chart 5432:L-moments 5319:Geometric 5042:Factorial 4926:inference 4906:Covariate 4868:Treatment 4854:Treatment 4435:0802.4381 4168:29 August 4127:0027-8424 4012:0956-7976 3915:1464-7931 3510:121294724 3488:CiteSeerX 3333:143685203 2824:C. R. Rao 2800:J. Kiefer 2776:D. R. Cox 2689:In 1950, 2672:C. R. Rao 2654:K. Kishen 2485:p-hacking 2249:^ 2246:θ 2216:− 2177:− 2151:− 2138:− 2106:^ 2103:θ 2060:− 2047:− 2008:− 1995:− 1963:^ 1960:θ 1917:− 1891:− 1878:− 1852:− 1820:^ 1817:θ 1787:− 1761:− 1735:− 1709:− 1677:^ 1674:θ 1618:− 1605:− 1592:− 1579:− 1534:^ 1531:θ 1501:− 1488:− 1449:− 1436:− 1391:^ 1388:θ 1329:− 1316:− 1303:− 1290:− 1223:^ 1220:θ 690:right pan 614:θ 607:… 595:θ 365:in 1952. 58:verifying 8036:Glossary 8029:Category 7906:In vitro 7747:Measures 7566:Overview 7474:Category 7167:Survival 7044:Johansen 6767:Binomial 6722:Isotonic 6309:(normal) 5954:location 5761:Blocking 5716:Sampling 5595:Q–Q plot 5560:Box plot 5542:Graphics 5437:Skewness 5427:Kurtosis 5399:Variance 5329:Heronian 5324:Harmonic 5165:Category 5160:Glossary 4966:Bayesian 4944:Bayesian 4900:Blocking 4879:Contrast 4859:blocking 4819:Bayesian 4806:Blinding 4796:validity 4793:external 4789:Internal 4407:45813198 4145:29531091 4020:22006061 3963:31536248 3931:26793416 3923:27879038 3769:27838472 3664:(2000). 3526:(1918). 3432:Writings 3412:Archived 3385:23526321 3284:52201011 3226:: 73–83. 3214:(1885). 3152:(1978). 3108:10 March 2890:See also 2760:F. 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Index

Experimental techniques
original research
improve it
verifying
inline citations
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factorial design
response surface
experiments
quasi-experiments
natural
independent variables
dependent variables
control variables
validity
reliability
replicability
statistical power
sensitivity
Quality by Design
metascience
Frequentist statistics
Randomization
statistical inference
Charles S. Peirce
Illustrations of the Logic of Science
A Theory of Probable Inference
Random assignment
Repeated measures design

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