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Lady Tasting Tea
In the design of experiments in statistics, the lady tasting tea is a randomized experiment devised by Ronald Fisher and reported in his book '' The Design of Experiments'' (1935). The experiment is the original exposition of Fisher's notion of a null hypothesis, which is "never proved or established, but is possibly disproved, in the course of experimentation".OED quote: 1935 R. A. Fisher, '' The Design of Experiments'' ii. 19, "We may speak of this hypothesis as the 'null hypothesis' ..the null hypothesis is never proved or established, but is possibly disproved, in the course of experimentation." The example is loosely based on an event in Fisher's life. The woman in question, phycologist Muriel Bristol, claimed to be able to tell whether the tea or the milk was added first to a cup. Her future husband, William Roach, suggested that Fisher give her eight cups, four of each variety, in random order. One could then ask what the probability was for her getting the specific ...
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Nice Cup Of Tea
Nice ( ; ) is a city in and the prefecture of the Alpes-Maritimes departments of France, department in France. The Nice urban unit, agglomeration extends far beyond the administrative city limits, with a population of nearly one millionDemographia: World Urban Areas
, Demographia.com, April 2016
on an area of . Located on the French Riviera, the southeastern coast of France on the Mediterranean Sea, at the foot of the French Alps, Nice is the second-largest French city on the Mediterranean coast and second-largest city in the Provence-Alpes-Côte d'Azur Regions of France, region after Marseille. Nice is approximately from the principality of Monaco and from the France–Italy border, French–Italian border. Nice Côte d'Azur Airport, Nice's airport serves as a gateway to t ...
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David Salsburg
David S. Salsburg (born 1931) is an American author. His 2002 book ''The Lady Tasting Tea'', subtitled ''How Statistics Revolutionized Science in the Twentieth Century'', provides a layman's overview of important developments in the field of statistics in the late 19th and early 20th century, particularly in the areas of Design of experiments, experiment design, the study of Probability distribution, random distributions, and the careers of major researchers in the field such as Ronald Fisher, Karl Pearson, and Jerzy Neyman. Salsburg is a retired pharmaceutical company statistician (having been a senior research fellow at Pfizer's central research department until 1995) who has taught at Harvard, Yale, Connecticut College, the University of Connecticut, the University of Pennsylvania, Rhode Island College, and Trinity College (Connecticut), Trinity College and has been a Fellow of the American Statistical Association since 1978. Salsburg was also the first statistician hired by Pfiz ...
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Design Of Experiments
The design of experiments (DOE), also known as experiment design or experimental design, is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associated with experiments in which the design introduces conditions that directly affect the variation, but may also refer to the design of quasi-experiments, in which natural conditions that influence the variation are selected for observation. 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 independent variables, also referred to as "input variables" or "predictor variables." The change in one or more independent variables is generally hypothesized to result in a change in one or more dependent variables, also referred to as "output variables" or "response variables." The experimental design may also identify ...
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How Statistics Revolutionized Science In The Twentieth Century
How may refer to: * How (greeting), a word used in some misrepresentations of Native American/First Nations speech * How, an interrogative word in English grammar Art and entertainment Literature * ''How'' (book), a 2007 book by Dov Seidman * ''HOW'' (magazine), a magazine for graphic designers * H.O.W. Journal, an American art and literary journal Music * ''How?'' (EP), by BoyNextDoor, 2024 * "How?" (song), by John Lennon, 1971 * "How", a song by Clairo from ''Diary 001'', 2018 * "How", a song by the Cranberries from ''Everybody Else Is Doing It, So Why Can't We?'', 1993 * "How", a song by Daughter from '' Not to Disappear'', 2016 * "How", a song by Lil Baby from '' My Turn'', 2020 * "How", a song by Maroon 5 from '' Hands All Over'', 2010 * "How", a song by Regina Spektor from ''What We Saw from the Cheap Seats'', 2012 * "How", a song by Robyn from ''Robyn Is Here'', 1995 Other media * HOW (graffiti artist), Raoul Perre, New York graffiti muralist * ''How'' (TV serie ...
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Jayanta Kumar Ghosh
Jayanta Kumar Ghosh (Bengali: জয়ন্ত কুমার ঘোষ, 23 May 1937 – 30 September 2017) was an Indian statistician, an emeritus professor at Indian Statistical Institute and a professor of statistics at Purdue University. Education He obtained a B.S. from Presidency College, then affiliated with the University of Calcutta, and subsequently a M.A. and a Ph.D. from the University of Calcutta under the supervision of H. K. Nandi. He started his research career in the early 1960s, studying sequential analysis as a graduate student in the department of statistics at the University of Calcutta. Research Among his best-known discoveries are the Bahadur–Ghosh–Kiefer representation (with R. R. Bahadur and Jack Kiefer) and the Ghosh–Pratt identity along with John W. Pratt. His research contributions fall within the fields of: * Bayesian inference * Asymptotics * Modeling and model selection * High dimensional data analysis * Nonparametric regression ...
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Debabrata Basu
Debabrata Basu (5 July 1924 – 24 March 2001) was an Indian statistician who made fundamental contributions to the foundations of statistics. Basu invented simple examples that displayed some difficulties of likelihood-based statistics and frequentist statistics; Basu's paradoxes were especially important in the development of survey sampling. In statistical theory, Basu's theorem established the independence of a complete sufficient statistic and an ancillary statistic. Page i in Basu was associated with the Indian Statistical Institute in India, and Florida State University in the United States.Page i in "Preface" to IMS festschrift. Biography Debabrata Basu was born in Dacca, Bengal, unpartitioned India, now Dhaka, Bangladesh. His father, N. M. Basu, was a mathematician specialising in number theory. Young Basu studied mathematics at Dacca University. He took a course in statistics as part of the under-graduate honours programme in Mathematics but his ambition w ...
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Binomial Distribution
In probability theory and statistics, the binomial distribution with parameters and is the discrete probability distribution of the number of successes in a sequence of statistical independence, independent experiment (probability theory), experiments, each asking a yes–no question, and each with its own Boolean-valued function, Boolean-valued outcome (probability), outcome: ''success'' (with probability ) or ''failure'' (with probability ). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., , the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the binomial test of statistical significance. The binomial distribution is frequently used to model the number of successes in a sample of size drawn with replacement from a population of size . If the sampling is carried out without replacement, the draws ar ...
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Randomization Test
In statistics, resampling is the creation of new samples based on one observed sample. Resampling methods are: # Permutation tests (also re-randomization tests) for generating counterfactual samples # Bootstrapping # Cross validation # Jackknife Permutation tests Permutation tests rely on resampling the original data assuming the null hypothesis. Based on the resampled data it can be concluded how likely the original data is to occur under the null hypothesis. Bootstrap Bootstrapping is a statistical method for estimating the sampling distribution of an estimator by sampling with replacement from the original sample, most often with the purpose of deriving robust estimates of standard errors and confidence intervals of a population parameter like a mean, median, proportion, odds ratio, correlation coefficient or regression coefficient. It has been called the plug-in principle,Logan, J. David and Wolesensky, Willian R. Mathematical methods in biology. Pure and Applied Ma ...
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Random Assignment
Random assignment or random placement is an experimental technique for assigning human participants or animal subjects to different groups in an experiment (e.g., a treatment group versus a control group) using randomization, such as by a chance procedure (e.g., flipping a coin) or a random number generator. This ensures that each participant or subject has an equal chance of being placed in any group. Random assignment of participants helps to ensure that any differences between and within the groups are not systematic at the outset of the experiment. Thus, any differences between groups recorded at the end of the experiment can be more confidently attributed to the experimental procedures or treatment. Random assignment, blinding, and controlling are key aspects of the design of experiments because they help ensure that the results are not spurious or deceptive via confounding. This is why randomized controlled trials are vital in clinical research, especially ones th ...
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Permutation Test
A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test. A permutation test involves two or more samples. The (possibly counterfactual) null hypothesis is that all samples come from the same distribution H_0: F=G. Under the null hypothesis, the distribution of the test statistic is obtained by calculating all possible values of the test statistic under possible rearrangements of the observed data. Permutation tests are, therefore, a form of resampling. Permutation tests can be understood as surrogate data testing where the surrogate data under the null hypothesis are obtained through permutations of the original data. In other words, the method by which treatments are allocated to subjects in an experimental design is mirrored in the analysis of that design. If the labels are exchangeable under the null hypothesis, then the resulting tests yield exact significance levels; see also exchangeability. Confidence intervals can ...
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Experimental Data
Experimental data in science and engineering is data produced by a measurement, test method, experimental design or quasi-experimental design. In clinical research any data produced are the result of a clinical trial. Experimental data may be qualitative or quantitative, each being appropriate for different investigations. Generally speaking, qualitative data are considered more descriptive and can be subjective in comparison to having a continuous measurement scale that produces numbers. Whereas quantitative data are gathered in a manner that is normally experimentally repeatable, qualitative information is usually more closely related to phenomenal meaning and is, therefore, subject to interpretation by individual observers. Experimental data can be reproduced by a variety of different investigators and mathematical analysis may be performed on these data. See also * Accuracy and precision * Computer science * Data analysis * Empiricism * Epistemology * Informatic ...
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Deb Basu
Debabrata Basu (5 July 1924 – 24 March 2001) was an Indian statistician who made fundamental contributions to the foundations of statistics. Basu invented simple examples that displayed some difficulties of likelihood-based statistics and frequentist statistics; Basu's paradoxes were especially important in the development of survey sampling. In statistical theory, Basu's theorem established the independence of a complete sufficient statistic and an ancillary statistic. Page i in Basu was associated with the Indian Statistical Institute in India, and Florida State University in the United States.Page i in "Preface" to IMS festschrift. Biography Debabrata Basu was born in Dacca, Bengal, unpartitioned India, now Dhaka, Bangladesh. His father, N. M. Basu, was a mathematician specialising in number theory. Young Basu studied mathematics at Dacca University. He took a course in statistics as part of the under-graduate honours programme in Mathematics but his ambition was to ...
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