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Statistical test for multiple comparisons
Tukey's range test, also known as Tukey's test, Tukey method, Tukey's honest significance test, or Tukey's HSD (honestly significant difference) test
Tukey's_range_test
Topics referred to by the same term
are several major statistical tests or procedures that bear the name Tukey's test: Siegel–Tukey test, a non-parametric test used to determine if two samples
Tukey's_test
American mathematician (1915–2000)
exploratory data analysis. The Tukey range test, the Tukey lambda distribution, the Tukey test of additivity, and the Teichmüller–Tukey lemma all bear his name
John_Tukey
Siegel–Tukey test, named after Sidney Siegel and John Tukey, is a non-parametric test which may be applied to data measured at least on an ordinal scale
Siegel–Tukey_test
Concept in statistics
In statistics, Tukey's test of additivity, named for John Tukey, is an approach used in two-way ANOVA (regression analysis involving two qualitative factors)
Tukey's_test_of_additivity
Statistical hypothesis test
pairing Tukey's test of additivity The portmanteau test in time-series analysis, testing for the presence of autocorrelation Likelihood-ratio tests in general
Chi-squared_test
In statistics, the Tukey–Duckworth test is a two-sample location test – a statistical test of whether one of two samples was significantly greater than
Tukey–Duckworth_test
Topics referred to by the same term
Joubin Islands, Antarctica Tukey's Bridge, Portland, Maine Tukey's test (disambiguation) All pages with titles containing Tukey Tuke (disambiguation) Turkey
Tukey_(disambiguation)
Statistical test for dose-response trends
Tukey's trend test (or the Tukey-Ciminera-Heyse trend test) is a non-parametric or semi-parametric statistical hypothesis test used to detect a dose–response
Tukey's_trend_test
hypothesis testing Student's t-test Tukey's range test Tukey's test of additivity Welch's t test Student assessment test Scantron test Bourdon–Wiersma test Graduate
List_of_tests
Statistical analyses that were not specified before the data were seen
post hoc tests include: Fisher's least significant difference Holm-Bonferroni Procedure Newman-Keuls Rodger's Method Scheffé's Method Tukey's Test and Honestly
Post_hoc_analysis
Probability of making type I errors when performing multiple hypotheses tests
corrections) is a way to address the problem created with multiple testing. John Tukey developed in 1953 the concept of a familywise error rate as the probability
Family-wise_error_rate
Data visualization
Douglas G. Altman. In other fields, it is also called a Tukey mean-difference plot, named after John Tukey. Consider a sample consisting of n {\displaystyle
Bland–Altman_plot
Method of statistical inference
statistical hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to a critical
Statistical_hypothesis_test
Statistical hypothesis test
significant difference (LSD) test, Tukey's honestly significant difference (HSD) test, Newman Keuls test, Ducan's test "a posteriori comparisons"/ "post
F-test
Statistical measure of how far values spread from their average
parametric tests have been proposed: these include the Barton–David–Ansari–Freund–Siegel–Tukey test, the Capon test, Mood test, the Klotz test and the Sukhatme
Variance
Statistical test of variance
independent tests are to be applied then the α in each test should be equal to α /n. Tukey's method is also preferable by many statisticians because
Omnibus_test
combinations. Tukey's test is valid when Mandel's multiplicative model holds and when the errors independently follow a normal distribution. Tukey's F-statistic
Generalized randomized block design
Generalized_randomized_block_design
Fast Fourier Transform algorithm
The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete
Cooley–Tukey_FFT_algorithm
tests are used to test the fit between a hypothesis and the data. Choosing the right statistical test is not a trivial task. The choice of the test depends
List_of_statistical_tests
Non-parametric method for testing whether samples originate from the same distribution
The Kruskal–Wallis test by ranks, Kruskal–Wallis H {\displaystyle H} test (named after William Kruskal and W. Allen Wallis), or one-way ANOVA on ranks
Kruskal–Wallis_test
Statistical test
F-test (Includes a one-way ANOVA example) Mixed model Multivariate analysis of variance (MANOVA) One-way ANOVA Repeated measures ANOVA Tukey's test of
Two-way_analysis_of_variance
Theorem that any three objects in space can be simultaneously bisected by a plane
n-dimensional case), and also years later called the Stone–Tukey theorem after Arthur H. Stone and John Tukey. The ham sandwich theorem takes its name from the
Ham_sandwich_theorem
Siegel (B.A. 1951) — psychologist and economist, known for the Siegel–Tukey test and considered a founding father of experimental economics Henry Suzzallo
List of San Jose State University people
List_of_San_Jose_State_University_people
Type of statistical analysis
replicated microarray experiments. Siegel–Tukey test: tests for differences in scale between two groups. Sign test: tests whether matched pair samples are drawn
Nonparametric_statistics
Statistical test
developed by Page. Cochran–Armitage test for trend Tukey's trend test Jonckheere, A. R. (1954). "A distribution-free k-sample test against ordered alternatives"
Jonckheere's_trend_test
Data visualization
making any assumptions of the underlying statistical distribution (though Tukey's box plot assumes symmetry for the whiskers and normality for their length)
Box_plot
American psychologist (1916–1961)
behavioral sciences. He was a co-developer of the statistical test known as the Siegel–Tukey test. In 1951 Siegel completed a B.A. in vocational arts at San
Sidney_Siegel
Statistical technique
"Wilcoxon–Nemenyi–McDonald–Thompson test", when regarding two-sided multiple comparisons of "treatments" versus "treatments". Tukey's range test Nemenyi, P.B. (1963)
Nemenyi_test
decomposition Tukey's range test – multiple comparisons Tukey's test of additivity – interaction in two-way anova Tukey–Duckworth test Tukey–Kramer method Tukey lambda
List_of_statistics_articles
Family of statistical methods based on sampling of available data
Permutation tests (also re-randomization tests) for generating counterfactual samples Bootstrapping Cross validation Jackknife Permutation tests rely on resampling
Resampling_(statistics)
Causal or moderating relationship between statistical variables
Generalized randomized block design Intersectionality Linear model Main effect Tukey's test of additivity Dodge, Y. (2003). The Oxford Dictionary of Statistical
Interaction_(statistics)
Statistical test for multiple comparisons
Newman–Keuls method is similar to Tukey's range test as both procedures use studentized range statistics. Unlike Tukey's range test, the Newman–Keuls method uses
Newman–Keuls_method
Statistical procedure
use the more general Tukey's and Scheffé's methods, they can result in unnecessarily wide confidence intervals. Dunnett's test takes into consideration
Dunnett's_test
Multiple comparison procedure
error control. Duncan's test has been criticised as being too liberal by many statisticians including Henry Scheffé, and John W. Tukey. Duncan argued that
Duncan's new multiple range test
Duncan's_new_multiple_range_test
Approach of analyzing data sets in statistics
hypothesis testing, in which a model is supposed to be selected before the data is seen. Exploratory data analysis has been promoted by John Tukey since 1970
Exploratory_data_analysis
Study of collection and analysis of data
correlation coefficient, Mann-Whitney U test, Kruskal-Wallis test, Shannon's diversity index, Tukey's range test, cluster analysis, Spearman's rank correlation
Statistics
Convention for reporting statistical results
multiple hypothesis testing when using the ANOVA and Tukey's range tests. CLD can also be applied following the Duncan's new multiple range test (which is similar
Compact_letter_display
Statistical testing method
t-test#Two-sample_t-tests Welch's t-test Tukey–Duckworth test Mann–Whitney U test Two-proportion Z-test Classifier Two-sample test (C2ST) Plug in statistics
Two-sample_hypothesis_testing
Generalization of the one-dimensional normal distribution to higher dimensions
data. Multivariate normality tests include the Cox–Small test and Smith and Jain's adaptation of the Friedman–Rafsky test created by Larry Rafsky and Jerome
Multivariate normal distribution
Multivariate_normal_distribution
Post-hoc statistical test for pairwise comparisons
recommend more modern procedures like the Holm–Bonferroni method or Tukey's range test. Fisher, Ronald A. (1935). The Design of Experiments. Edinburgh: Oliver
Fisher's least significant difference
Fisher's_least_significant_difference
Statistical post-hoc test for multiple comparisons
multiple comparison procedures: Tukey's range test and the Newman-Keuls method. The primary purpose of post-hoc tests like Tukey's B is to control the family-wise
Tukey's_B_method
Categorical data analysis trend
set of weights may be used. Jonckheere's trend test List of analyses of categorical data Tukey's trend test Agresti, Alan (2002). Categorical Data Analysis
Cochran–Armitage test for trend
Cochran–Armitage_test_for_trend
Statistical interpretation with many tests
multiplicity or multiple testing problem occurs when many statistical tests are performed on the same dataset. Each test has its own chance of a Type
Multiple_comparisons_problem
Multiple comparison method in statistics
factor level means, not just the pairwise differences considered by the Tukey–Kramer method. It works on similar principles as the Working–Hotelling procedure
Scheffé's_method
problems in statistics are generally of a different flavor; according to John Tukey, "difficulties in identifying problems have delayed statistics far more
List of unsolved problems in statistics
List_of_unsolved_problems_in_statistics
Collection of statistical models
Follow-up tests to identify which specific groups, variables, or factors have statistically different means include the Tukey's range test, and Duncan's
Analysis_of_variance
Discrete Fourier transform algorithm
crystal of Helium-3. Garwin gave Tukey's idea to Cooley (both worked at IBM's Watson labs) for implementation. Cooley and Tukey published the paper in a relatively
Fast_Fourier_transform
Statistical test for goodness-of-fit
John Tukey in 1976 and further developed in 2004 by David Donoho and Jianshun Jin. Both tests are used for sparse signal detection. While the BJ test is
Berk-Jones_test
Symmetric probability distribution
Formalized by John Tukey, the Tukey lambda distribution is a continuous, symmetric probability distribution defined in terms of its quantile function.
Tukey_lambda_distribution
Position that there is no relationship between two phenomena
One sided tests should never be used simply as a device to make a conventionally non-significant difference significant." Jones, Lyle V.; Tukey, John W
Null_hypothesis
Distinction between nominal, ordinal, interval and ratio variables
(1960) and independently by Luce & Tukey (1964). However, Stevens's reaction was not to conduct experiments to test for the presence of additive structure
Level_of_measurement
Observation far apart from others in statistics and data science
]}} for some nonnegative constant k {\displaystyle k} . John Tukey proposed this test, where k = 1.5 {\displaystyle k=1.5} indicates an "outlier", and
Outlier
In statistics, Hartley's test, also known as the Fmax test or Hartley's Fmax, is used in the analysis of variance to verify that different groups have
Hartley's_test
Instructions a computer can execute
to describe computer programs is credited to mathematician John Wilder Tukey in 1958. The first programmable computers, which appeared at the end of
Software
Probability distribution with more than one mode
mass test, the MAP test, the mode existence test, the runt test, the span test, and the saddle test. An implementation of the dip test is available for
Multimodal_distribution
Misuse of data analysis
the risk of false positives. This is done by performing many statistical tests on the data and only reporting those that come back with significant results
Data_dredging
American engineer, author, and professor (1914–2000)
statistical confidence. John Tukey, a proponent of simple statistical techniques, was another influence of Shainin's. As a result of Tukey's work, Shainin developed
Dorian_Shainin
General, formal theory of continuous quantity
conditions for the indirect testing of the solvability and Archimedean axioms, and David Krantz (1964) who connected the Luce & Tukey work to that of Hölder
Theory of conjoint measurement
Theory_of_conjoint_measurement
Field of study to extract knowledge from data
as an applied field growing out of traditional statistics. In 1962, John Tukey described a field he called "data analysis", which resembles modern data
Data_science
compared to the median gives an idea of the skewness in the tails. John Tukey used a seven-number summary consisting of the extremes, octiles, quartiles
Seven-number_summary
Non-parametric statistic used to estimate the survival function
Journal of the American Statistical Association. The journal editor, John Tukey, convinced them to combine their work into one paper, which has been cited
Kaplan–Meier_estimator
Scatterplot diagnostics measures
point cloud in a scatter plot. The term and idea was coined by John Tukey and Paul Tukey, though they didn't publish it; later it was elaborated by Wilkinson
Scagnostics
Uncomfortable science, as identified by statistician John Tukey, comprises situations in which there is a need to draw an inference from a limited sample
Uncomfortable_science
Statistical method
Society, Series B. 11 (1): 68–84. doi:10.1111/j.2517-6161.1949.tb00023.x. Tukey JW. "Bias and confidence in not-quite large samples". Annals of Mathematical
Bootstrapping_(statistics)
Statistical measure of variability
Wilkins Co. pp. 24–25. Hoaglin, David C.; Frederick Mosteller; John W. Tukey (1983). Understanding Robust and Exploratory Data Analysis. John Wiley &
Median_absolute_deviation
multiple comparison procedures, such as the single step procedure Tukey's range test, the Newman–Keuls method, and the Duncan's step down procedure, and
Studentized_range
Topics referred to by the same term
distribution is either of two probability distributions used in statistics: Tukey's lambda distribution is a shape-conformable distribution used to identify
Lambda_distribution
Comparison of two distributions
John Wiley and Sons Chambers, John; Cleveland, William; Kleiner, Beat; Tukey, Paul (1983), Graphical methods for data analysis, Wadsworth Cleveland,
Q–Q_plot
Topics referred to by the same term
is a modified version of the Box-Pierce test which provides better small sample properties The Tukey-Kramer test outputs a q-statistic (lowercase), also
Q-statistic
Collection of statistical data sets
iterations, do: test_ds ← perturb(current_ds, temp) if similar_enough(test_ds, initial_ds): current_ds ← test_ds function perturb(ds, temp): loop: test ← move_random_points(ds)
Datasaurus_dozen
Probability distribution
useful in Bayesian parameter estimation. For example, one may administer a test to a number of individuals. If it is assumed that each person's score (0
Beta_distribution
Two books on human sexual behavior by Alfred Kinsey and others
notable statisticians such as John Tukey, condemned the sampling procedure. In a tense meeting with Kinsey, Tukey supposedly declared that even a sample
Kinsey_Reports
American mathematician (1906–1964)
researchers, notably John Tukey, in a similar direction. Drawing upon the background of his thesis, Wilks worked with the Educational Testing Service in developing
Samuel_S._Wilks
Overview of computer engineering topics
applications Signal processing Digital filter Fast Fourier transform Cooley–Tukey FFT algorithm Modified discrete cosine transform Digital signal processing
Computer engineering compendium
Computer_engineering_compendium
American mathematician, half-brother of Bobby Fischer (1927–2002)
Multiple Comparisons advised by John Wilder Tukey. Several statistical tests, most notably the Nemenyi test bear his name. Peter Nemenyi is also known
Peter_Nemenyi
States National Academy of Sciences. Mccullagh, Peter (2003). "John Wilder Tukey. 16 June 1915 – 26 July 2000". Biographical Memoirs of Fellows of the Royal
Founders_of_statistics
Decision-making framework
Planning (1973), Douglas John White's Decision Methodology (1975), John Tukey's Exploratory data analysis (1977), Mike Pidd's Tools for Thinking: Modelling
Cynefin_framework
Most populous city in Maine, United States
devices." East End Treatment Plant, established in 1979, is located near Tukey's Bridge. Portland is accessible from I-95 (the Maine Turnpike), I-295, and
Portland,_Maine
Secret history conspiracy theory game
Audible/BBC documentary about the Ong's Hat legend An interview with John Tukey at Princeton University on 11 April 1984 Includes references to an origin
Ong's_Hat
Graphical technique in statistics
ISBN 0-471-90763-4 Chambers, John; William Cleveland; Beat Kleiner; Paul Tukey (1983). Graphical Methods for Data Analysis. Wadsworth. Wikimedia Commons
Normal_probability_plot
was formulated within the Neyman-Pearson hypothesis-testing framework [...] and required that the test of each contrast Ψi (i = 1, ... , J − 1) should result
Rodger's_method
Axiom of set theory
{\mathcal {A}}} has at least one element maximal with respect to inclusion. Tukey's lemma: If A {\displaystyle {\mathcal {A}}} is any family of subsets of
Axiom_of_choice
Statistical method for resampling
developed by Maurice Quenouille (1924–1973) from 1949 and refined in 1956. John Tukey expanded on the technique in 1958 and proposed the name "jackknife" because
Jackknife_resampling
Approach in data analysis
of the distribution are then considered anomalies. Z-score, Tukey's range test Grubbs's test Density-based techniques (k-nearest neighbor, local outlier
Anomaly_detection
American activist (born 1937)
literary scholar Susan Bergman. Heche is the daughter of Marietta Susan (Tukey) and Richard Carleton Prickett. As a child, she attended a Methodist church
Nancy_Heche
Australian and American statistician
University, advised by Geoffrey S. Watson and taught by both Watson and John W. Tukey. He has spent the majority of his professional life in the US as professor
Noel_Cressie
Belgian scientist and Catholic priest (1894–1966)
Fourier transform, later developed independently by James Cooley and John Tukey. He introduced the Burroughs E101 electromechanical computer to his university
Georges_Lemaître
Statistic which divides data into four same-sized parts for analysis
upper half of the data. The values found by this method are also known as "Tukey's hinges"; see also midhinge. Use the median to divide the ordered data set
Quartile
lemma Aubin–Lions lemma Bergman's diamond lemma Fitting lemma Injective test lemma Hua's lemma (exponential sums) Krull's separation lemma Schanuel's
List_of_lemmas
Middle quantile of a data set or probability distribution
proposed the idea of using the medians of two subsamples rather the means. Tukey combined these ideas and recommended dividing the sample into three equal
Median
Probability distribution used in multivariate hypothesis testing
distribution used in multivariate hypothesis testing, especially with regard to the likelihood-ratio test and multivariate analysis of variance (MANOVA)
Wilks's_lambda_distribution
Type of statistics
different standard deviations; under this model, non-robust methods like a t-test work poorly. Robust statistics seek to provide methods that emulate popular
Robust_statistics
Visual representation of data
clearly, accurately, and efficiently". John Tukey and Edward Tufte pushed the bounds of data visualization; Tukey with his new statistical approach of exploratory
Data and information visualization
Data_and_information_visualization
Random number book first published in 1955
begin: 10097 32533 76520 13586 34673 54876 80959 09117 39292 74945 Tukey, John W. (1955). "Reviewed work: A Million Random Digits with 100,000 Normal
A Million Random Digits with 100,000 Normal Deviates
A_Million_Random_Digits_with_100,000_Normal_Deviates
Format for presentation of quantitative data
Stemplots became more commonly used in the 1980s after the publication of John Tukey's book on exploratory data analysis in 1977. The popularity during those
Stem-and-leaf_display
British economist and Nobel laureate (1934–2009)
Research Project. Here, Granger and Michio Hatanaka as assistants to John Tukey on a project using Fourier analysis on economic data. In 1964, Granger and
Clive_Granger
Term in statistical hypothesis testing
In statistical hypothesis testing, there are various notions of so-called type III errors (or errors of the third kind), and sometimes type IV errors
Type_III_error
Class of statistics in estimation theory
average’. Fisher's k-statistics and Tukey's polykays are examples of homogeneous polynomial U-statistics (Fisher, 1929; Tukey, 1950). For a simple random sample
U-statistic
into information useful for decision-making by users. Statistician John Tukey, defined data analysis in 1961, as: "Procedures for analyzing data, techniques
Data_analysis
TUKEYS TEST
TUKEYS TEST
Boy/Male
Indian, Sanskrit
One who Takes Away
Female
Egyptian
, a daughter of King Amenhotep I.
Surname or Lastname
English
English : variant of Stokes.
Girl/Female
Arabic
Loud
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : unexplained.
Surname or Lastname
English
English : patronymic from Duke 1 or 2.
Girl/Female
Muslim
Worshipper
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Servant of Musical Tunes
Surname or Lastname
English
English : from the Old Norse personal name Tóki (see Tuck).
Girl/Female
Indian
Worshipper
Surname or Lastname
English
English : variant of Stuckey.
Boy/Male
Native American
Bear making dust.
Girl/Female
Hebrew
Graceful lily.
Surname or Lastname
English and Irish
English and Irish : variant spelling of Keyes.
Boy/Male
Native American
Soaring turkey vulture.
Boy/Male
Arabic, Muslim
Founder of Modern Turkey
Surname or Lastname
English
English : patronymic from a short form of a Celtic personal name, Old Breton Iudicael (see Jewell).
Surname or Lastname
English (Devon and Cornwall)
English (Devon and Cornwall) : unexplained; most probably a pet form of Luke. See also Leakey.
Boy/Male
Arabic, Muslim
Founder of Modern Turkey
Boy/Male
Hindu, Indian, Kannada, Telugu
Servant of Musical Tunes
TUKEYS TEST
TUKEYS TEST
Girl/Female
Tamil
Kanishkaa | கநீஷà¯à®•ா
Gold thing
Girl/Female
Hindu
Full Moon
Boy/Male
Arabic, Muslim
Description of a Lion; Name of the Prophet's Uncle; Help of God (Alalh)
Girl/Female
Arabic, Swahili
Woman; Life
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
A Precious
Boy/Male
Tamil
Induhasan | இநà¯à®¤à¯à®¹à®¾à®¸à®¨
Like a Moon
Boy/Male
American, British, Danish, Dutch, English, French, German, Hindu, Indian, Swiss
From the Champagne Town of Rheims; Abbreviation of Remington; Rower; Champagne; A Town in Central France; From Rheims
Girl/Female
Hindu, Indian
Love
Girl/Female
Latin American Italian English
Lively.
Biblical
sweet scent
TUKEYS TEST
TUKEYS TEST
TUKEYS TEST
TUKEYS TEST
TUKEYS TEST
n.
A genus of Australian birds which includes the brush turkey. See Brush turkey.
n.
The Australian brush turkey.
n.
One who takes exceptions.
a.
Turkish.
n.
A turkey cock; a bubbling Jock.
pl.
of Turkey
n.
An empire in the southeast of Europe and southwest of Asia.
n. pl.
Discriminating marks; signs; tokens; indications; appearances.
pl.
of Turnkey
a.
Turkish.
n.
The brush turkey (Talegallus Lathami) of Australia. See Brush turkey.
a.
Producing or bearing tubers.
a.
Having two tubers resembling testicles in form, as some species of orchis.
n.
A series of tubes; tubes, collectively; a length or piece of a tube; material for tubes; as, leather tubing.
n.
Any large American gallinaceous bird belonging to the genus Meleagris, especially the North American wild turkey (Meleagris gallopavo), and the domestic turkey, which was probably derived from the Mexican wild turkey, but had been domesticated by the Indians long before the discovery of America.
n.
One who pukes, vomits.
n.
One who takes profiles.
n.
One who takes notice.
p. p.
Takes away.
n.
A native or inhabitant of Turkey.