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Statistical post-hoc test for multiple comparisons
Tukey's B method, also known as the Tukey-Kramer B procedure, or Tukey's Wholly Significant Difference (WSD) is a post-hoc multiple comparison statistical
Tukey's_B_method
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
scales (variances) Tukey's B method, also called Tukey-Kramer B procedure, or Tukey's WSD (Wholly Significant Difference) Tukey–Duckworth test, a simple non-parametric
Tukey's_test
American mathematician (1915–2000)
and attended regular classes only for certain subjects like French. Tukey obtained a B.A. in 1936 and M.S. in 1937 in chemistry, from Brown University, before
John_Tukey
Data visualization
Bland–Altman difference plot) in analytical chemistry or biomedicine is a method of data plotting used in analyzing the agreement between two different assays
Bland–Altman_plot
Multiple comparison method in statistics
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
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
Study of collection and analysis of data
Agresti, Alan; Hichcock, David B. (2005). "Bayesian Inference for Categorical Data Analysis" (PDF). Statistical Methods & Applications. 14 (3): 298. doi:10
Statistics
The Blackman–Tukey transformation (or Blackman–Tukey method) is a digital signal processing method to transform data from the time domain to the frequency
Blackman–Tukey_transformation
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
Discrete Fourier transform algorithm
sample observations; his method was very similar to the one that would be published in 1965 by James Cooley and John Tukey, who are generally credited
Fast_Fourier_transform
Statistical method for resampling
and variance estimation. The jackknife pre-dates other common resampling methods such as the bootstrap. Given a sample of size n {\displaystyle n} , a jackknife
Jackknife_resampling
Statistical method
Journal of the Royal Statistical 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
Bootstrapping_(statistics)
Type of statistical analysis
Adikaram, K. K. L. B.; Hussein, M. A.; Effenberger, M.; Becker, T. (16 November 2015). "Universal Linear Fit Identification: A Method Independent of Data
Nonparametric_statistics
Convention for reporting statistical results
Display (CLD) is a statistical method to clarify the output of multiple hypothesis testing when using the ANOVA and Tukey's range tests. CLD can also be
Compact_letter_display
Probability of making type I errors when performing multiple hypotheses tests
{\displaystyle Y_{B}} is the smaller, and S E {\displaystyle SE} is the standard error of the data in question.[citation needed] Tukey's test is essentially
Family-wise_error_rate
Distinction between nominal, ordinal, interval and ratio variables
rejected by others. Other classifications include those by Mosteller and Tukey, and by Chrisman. Stevens proposed his typology in a 1946 Science article
Level_of_measurement
Algorithms which recursively solve subproblems
subproblems is Gauss's 1805 description of what is now called the Cooley–Tukey fast Fourier transform (FFT) algorithm, although he did not analyze its
Divide-and-conquer_algorithm
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
Function used in signal processing
NI LabVIEW 8.6 Help". zone.ni.com. Retrieved 2020-02-13. Blackman, R.B.; Tukey, J.W. (1959-01-01). The Measurement of Power Spectra from the Point of
Window_function
Observation far apart from others in statistics and data science
Q_{3}+k(Q_{3}-Q_{1}){\big ]}} for some nonnegative constant k {\displaystyle k} . John Tukey proposed this test, where k = 1.5 {\displaystyle k=1.5} indicates an "outlier"
Outlier
Family of statistical methods based on sampling of available data
this method preceded the invention of the bootstrap with Quenouille inventing this method in 1949 and Tukey extending it in 1958. This method was foreshadowed
Resampling_(statistics)
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
General, formal theory of continuous quantity
American mathematical psychologist R. Duncan Luce and statistician John Tukey (Luce & Tukey 1964). The theory concerns the situation where at least two natural
Theory of conjoint measurement
Theory_of_conjoint_measurement
Statistical procedure
made by Tukey and Scheffé. Their method was a general one, which considered all kinds of pairwise comparisons. Tukey's and Scheffé's methods allow any
Dunnett's_test
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
Misuse of data analysis
involving basis functions are Scheffé's method and, if the researcher has in mind only pairwise comparisons, the Tukey method. To avoid the extreme conservativeness
Data_dredging
Signal processing effect
). The Collected Works of John W. Tukey. Vol. 1. Wadsworth. p. 5. ISBN 0-534-03303-2. Blackman, R. B.; J. W. Tukey (1958). "The measurement of power spectra
Aliasing
Technique to find image offset
which will reduce the performance of the method. In such cases, a window function (such as a Gaussian or Tukey window) should be employed during the Fourier
Phase_correlation
Rule for calculating an estimate of a given quantity based on observed data
{X}}_{n}]+\mathrm {E} [B]=\mu +b,} B ( θ ^ ( X ) ) = b , {\displaystyle \mathrm {B} ({\hat {\theta }}(X))=b,} V a r ( θ ^ ( X ) ) = E [ ( X ¯ n + B − μ − b ) 2 ] = E
Estimator
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
Unit of information
Mathematical Theory of Communication". He attributed its origin to John W. Tukey, who had written a Bell Labs memo on 9 January 1947 in which he contracted
Bit
Method of statistical inference
A statistical hypothesis test is a method of statistical inference used to decide whether the data provide sufficient evidence to reject a particular hypothesis
Statistical_hypothesis_test
Probability distribution
Fisher's criticism of Pearson's method of moments as being arbitrary, see Pearson's article "Method of moments and method of maximum likelihood" (published
Beta_distribution
Middle quantile of a data set or probability distribution
1176–1197. doi:10.1214/aos/1176347263. JSTOR 2241717. Efron, B. (1979). "Bootstrap Methods: Another Look at the Jackknife". Ann. Stat. 7 (1): 1–26. doi:10
Median
Multiple comparison procedure
qr to compare sets of means. David B. Duncan developed this test as a modification of the Student–Newman–Keuls method that would have greater power. Duncan's
Duncan's new multiple range test
Duncan's_new_multiple_range_test
German polymath and scholar (1777–1855)
years before Cooley and Tukey found their similar Cooley–Tukey algorithm. He developed it as a trigonometric interpolation method, but the paper Theoria
Carl_Friedrich_Gauss
Chambers, John M.; Cleveland, William S.; Kleiner, Beat; Tukey, Paul A. (1983). Graphical Methods for Data Analysis, Wadsworth/Duxbury Press. ISBN 0-534-98052-X
Data_analysis
Collection of statistical models
Analysis of variance (ANOVA) is a family of statistical methods used to compare the means of two or more groups by analyzing variance. Specifically, ANOVA
Analysis_of_variance
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
One of a number of different types of statistical inference
(help) Fisher, Ronald "Statistical methods and scientific induction" Journal of the Royal Statistical Society, Series B 17 (1955), 69–78. (criticism of statistical
Fiducial_inference
Statistical test of variance
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 it controls the overall
Omnibus_test
Newcomb in 1881. Bertrand's ballot theorem proved using André's reflection method, which states the probability that the winning candidate in an election
List of examples of Stigler's law
List_of_examples_of_Stigler's_law
Statistical interpretation with many tests
Bonferroni correction Dunnett's test Hochberg's GT2 Scheffé's method Šidák correction Tukey's HSD Two-stage "protected" procedures Duncan's new multiple
Multiple_comparisons_problem
1964 – multigrid methods first proposed by R. P. Fedorenko 1965 – Cooley–Tukey algorithm rediscovered by James Cooley and John Tukey 1965 – Levenshtein
Timeline_of_algorithms
robust exploratory data analysis procedure proposed by the statistician John Tukey. The purpose of median polish is to find an additively-fit model for data
Median_polish
Statistical measure of variability
of the Statistical Method. Baltimore, MD: Williams & Wilkins Co. pp. 24–25. Hoaglin, David C.; Frederick Mosteller; John W. Tukey (1983). Understanding
Median_absolute_deviation
Audio signal processing technique
spectrum (as with the Tukey weighting function) gives a similar improvement – of several dBs. Improvements achieved by the method are tolerant of Doppler
Chirp_compression
Signal representation
Domain Electromagnetic Method (FDEM) as tool to study contamination at the sub-soil layer. Geoscience 9 (9), 382. Boashash, B. (Sep 1988). "Note on the
Frequency_domain
Permutation that reverses binary numbers
n/4\rfloor } positions. Bit reversal is most important for radix-2 Cooley–Tukey FFT algorithms, where the recursive stages of the algorithm, operating in-place
Bit-reversal_permutation
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
Smirnov, Vladimir M. (1 December 2015). "From V. B. Aleskovskii's "Framework" Hypothesis to the Method of Molecular Layering/Atomic Layer Deposition".
List_of_multiple_discoveries
Statistical hypothesis test
chi-squared test. McNemar's test, used in certain 2 × 2 tables with pairing Tukey's test of additivity The portmanteau test in time-series analysis, testing
Chi-squared_test
American mathematician
November, 1950. His dissertation committee included Professors John W. Tukey and Samuel S. Wilks. From 1950 to 1957, Kaplan worked for Bell Telephone
Edward_L._Kaplan
Australian-American statistician (born 1937)
contributions to clustering algorithms, including the famous Hartigan-Wong method and biclustering, and Bayesian statistics. Hartigan was born in Sydney,
John_A._Hartigan
Probability distribution with more than one mode
56 (3): 223–229. doi:10.1198/00031300265. S2CID 53495657. Mosteller, F.; Tukey, J. W. (1977). Data Analysis and Regression: A Second Course in Statistics
Multimodal_distribution
Statistical test
1925, Ronald Fisher mentioned the two-way ANOVA in his book, Statistical Methods for Research Workers (chapters 7 and 8). Through his work, Fisher showed
Two-way_analysis_of_variance
Probability distribution
{-\ln(U)}{\lambda }}.} Other methods for generating exponential variates are discussed by Knuth and Devroye. A fast method for generating a set of ready-ordered
Exponential_distribution
Sufficiency theorem for reconstructing signals from samples
17G. doi:10.1063/1.3061438. hdl:2027/mdp.39015002049487. Blackman, R. B.; Tukey, J. W. (1958). "The measurement of power spectra from the point of view
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Fast Fourier transform algorithm
multiplications), or equivalently by a radix-2 Cooley–Tukey FFT step. R. Yavne, "An economical method for calculating the discrete Fourier transform," in
Split-radix_FFT_algorithm
Prevalence of different types of sexual orientation
however, have been disputed, especially in 1954 by a team consisting of John Tukey, Frederick Mosteller and William G. Cochran, who stated much of Kinsey's
Demographics of sexual orientation
Demographics_of_sexual_orientation
Integer having only small prime factors
or equal to B. An important practical application of smooth numbers is the fast Fourier transform (FFT) algorithms (such as the Cooley–Tukey FFT algorithm)
Smooth_number
Least squares approximation of linear functions to data
residuals. Numerical methods for linear least squares include inverting the matrix of the normal equations and orthogonal decomposition methods. Consider the
Linear_least_squares
Function in discrete mathematics
Such an approach is called a spectral method. Suppose we wish to compute the polynomial product c(x) = a(x) · b(x). The ordinary product expression for
Discrete_Fourier_transform
rule: a heuristic method for solving the Knight's tour problem A*: special case of best-first search that uses heuristics to improve speed B*: a best-first
List_of_algorithms
Concept in Fourier analysis
The concept of the cepstrum was introduced in 1963 by B. P. Bogert, M. J. Healy, and J. W. Tukey. It serves as a tool to investigate periodic structures
Cepstrum
transform (FFT) — a fast method for computing the discrete Fourier transform Bluestein's FFT algorithm Bruun's FFT algorithm Cooley–Tukey FFT algorithm Split-radix
List of numerical analysis topics
List_of_numerical_analysis_topics
Israeli statistician (born 1949)
under dependency, Annals of Statistics (with D. Yekutieli) 2002: John Tukey’s contributions to multiple comparisons, Annals of Statistics, (with H. Braun)
Yoav_Benjamini
Number taken as representative of a list of numbers
f(x) = log x. However, this method for generating means is not general enough to capture all averages. A more general method[failed verification] for defining
Average
American biostatistician
published in Science has been described as influential, and the Kaplan–Meier method is thought to have indirectly extended tens of thousands of lives. Meier
Paul_Meier_(statistician)
Technique for dimensionality reduction
t-distributed stochastic neighbor embedding (t-SNE) is a statistical method for visualizing high-dimensional data by giving each datapoint a location in
T-distributed stochastic neighbor embedding
T-distributed_stochastic_neighbor_embedding
Non-parametric method for testing whether samples originate from the same distribution
Chambers, William S. Cleveland, Beat Kleiner, and Paul A. Tukey (1983). Graphical Methods for Data Analysis. Belmont, Calif: Wadsworth International
Kruskal–Wallis_test
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
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
Position that there is no relationship between two phenomena
significant." Jones, Lyle V.; Tukey, John W. (2000). "A Sensible Formulation of the Significance Test". Psychological Methods. 5 (4): 411–414. doi:10.1037/1082-989X
Null_hypothesis
Axiom of set theory
inclusion. Tukey's lemma: If A {\displaystyle {\mathcal {A}}} is any family of subsets of a set X {\displaystyle X} with the property that a set B ⊆ X {\displaystyle
Axiom_of_choice
Shapiro–Wilk test Statistical hypothesis testing Student's t-test Tukey's range test Tukey's test of additivity Welch's t test Student assessment test Scantron
List_of_tests
Stein–Strömberg theorem (measure theory) Steinhaus theorem (measure theory) Stone–Tukey theorem (topology) Structure theorem for Gaussian measures (measure theory)
List_of_theorems
Type of statistics
underlying distributional assumptions are incorrect. Robust statistical methods have been developed for many common problems, such as estimating location
Robust_statistics
Statistical measure of how far values spread from their average
formula 1.3(b page 1 Mercer, A. McD. (2000). "Bounds for A–G, A–H, G–H, and a family of inequalities of Ky Fan's type, using a general method". J. Math
Variance
the performance of the network in a set of equations. ... The analytic method has been used with success by Kleinrock and others, but only if important
List of pioneers in computer science
List_of_pioneers_in_computer_science
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
Generalization of the one-dimensional normal distribution to higher dimensions
}}\mathbf {b} \right)} . This result follows by using B = [ b 1 b 2 … b n ] = b T . {\displaystyle \mathbf {B} ={\begin{bmatrix}b_{1}&b_{2}&\ldots &b
Multivariate normal distribution
Multivariate_normal_distribution
Set of related ordination techniques used in information visualization
and x j {\displaystyle x_{j}} , and b i j {\displaystyle b_{ij}} are the elements of the matrix B {\displaystyle B} defined on step 2 of the following
Multidimensional_scaling
Theorem in statistics and econometrics
Frederick V. Waugh, and Michael C. Lovell. Ordinary least squares is a method of estimating coefficients in a linear regression, where a single dependent
Frisch–Waugh–Lovell_theorem
Continuous probability distribution
Vineshkumar, B. (2012-12-15). "The Govindarajulu Distribution: Some Properties and Applications". Communications in Statistics - Theory and Methods. 41 (24):
Metalog_distribution
Thurston (1936–2012) Clifford Truesdell (1919–2000) John Tukey (1915–2000) John Urschel (b. 1991) Dorothy Vaughan (1910–2008) Oswald Veblen (1880–1960)
List of American mathematicians
List_of_American_mathematicians
Field of statistics
Knowledge Discovery). Morgan & Claypool Publishers. ISBN 978-1627059343. Tukey, John W. (1977). Exploratory Data Analysis. Pearson. ISBN 978-0201076165
Causal_analysis
Statistical testing method
Pearson's chi-squared test Student's t-test#Two-sample_t-tests Welch's t-test Tukey–Duckworth test Mann–Whitney U test Two-proportion Z-test Classifier Two-sample
Two-sample_hypothesis_testing
Programming paradigm in which many processes are executed simultaneously
include: Dense linear algebra Sparse linear algebra Spectral methods (such as Cooley–Tukey fast Fourier transform) N-body problems (such as Barnes–Hut
Parallel_computing
Statistical experiment designs
doi:10.3109/00016484709123756. Anderson, TW; McCarthy, PJ; Tukey, JW (1946). 'Staircase' method of sensitivity testing (Technical report). Naval Ordnance
Up-and-down_design
Statistical test
The test can be seen as a special case of Maurice Kendall’s more general method of rank correlation and makes use of the Kendall's S statistic. This can
Jonckheere's_trend_test
Categorical data analysis trend
be used. Jonckheere's trend test List of analyses of categorical data Tukey's trend test Agresti, Alan (2002). Categorical Data Analysis (Second ed.)
Cochran–Armitage test for trend
Cochran–Armitage_test_for_trend
is minimized also takes time O(n log n). Chan uses this method to find a point of maximal Tukey depth among a given collection of n points in d-dimensional
LP-type_problem
Graphic visual representation of information
the Gesellschafts- und Wirtschaftsmuseum, where they developed the Vienna Method from 1926 to 1934. Here simple images were used to represent data in a structured
Infographic
is a portmanteau of "binary digit". He attributed its origin to John W. Tukey, who had used the word in a Bell Labs memo of 9 January 1947. Bon – created
List of computer term etymologies
List_of_computer_term_etymologies
Point minimizing sum of distances to given points
Geometric median absolute deviation Fermat–Torricelli point Centerpoint (e.g. Tukey median) Drezner et al. (2002) Cieslik (2006). Eiselt & Marianov (2011).
Geometric_median
Study of evolutionary relationships between organisms
Series B. 11 (2): 105–19. doi:10.1016/0095-8956(71)90020-7. Kidd, K. K; Sgaramella-Zonta, L. A (1971). "Phylogenetic analysis: Concepts and methods". American
Phylogenetics
1949). "A New Method of Freezing-Point Determination for Small Quantities". Journal of Experimental Biology. 26 (1): 57–64. Bibcode:1949JExpB..26...57R.
Glossary_of_engineering:_A–L
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
TUKEYS B-METHOD
TUKEYS B-METHOD
Surname or Lastname
English
English : variant of Stokes.
Girl/Female
Indian
Nice Rose; Beautiful Heart; Friend of Beauty; B
Surname or Lastname
English
English : variant of Stuckey.
Surname or Lastname
English
English : patronymic from Duke 1 or 2.
Boy/Male
Muslim
The bestower
Boy/Male
Native American
Bear making dust.
Surname or Lastname
English
English : patronymic from a short form of a Celtic personal name, Old Breton Iudicael (see Jewell).
Boy/Male
Indian
The bestower
Girl/Female
American, Australian
A Combination of the Prefix B and Riley
Female
Egyptian
, a daughter of King Amenhotep I.
Girl/Female
Arabic
Loud
Female
Egyptian
, a priestess of the goddess Maut.
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : unexplained.
Surname or Lastname
English (Devon and Cornwall)
English (Devon and Cornwall) : unexplained; most probably a pet form of Luke. See also Leakey.
Surname or Lastname
English
English : from the Old Norse personal name Tóki (see Tuck).
Boy/Male
Indian
Rasi
Girl/Female
Indian
Worshipper
Boy/Male
Muslim
The granter and accepter of repentence
Girl/Female
Hebrew
Graceful lily.
Girl/Female
Muslim
Worshipper
TUKEYS B-METHOD
TUKEYS B-METHOD
Surname or Lastname
English
English : variant spelling of Farnham.
Male
English
Pet form of English Robert, BOBBY means "bright fame."
Surname or Lastname
English
English : from a Germanic personal name, Aimeri, composed of the elements haim ‘home’ + rīc ‘power’. (The same elements constitute the etymology of Henry.) The name was introduced into England from France by the Normans. There has been some confusion with Emery.
Boy/Male
Tamil
Thulasitharan | தà¯à®²à®¸à¯€à®¤à®°à®£
The Moon
Girl/Female
Tamil
Hansdhwani | ஹஂஸà¯à®¤à¯à®µà®¾à®¨à¯€Â
Vocal sound of swan
Boy/Male
Indian
A plant african rue
Boy/Male
Tamil
Hemanand | ஹேமாநஂதÂ
Boy/Male
Indian
Lord Sai Baba's Name
Girl/Female
American, Australian, British, English
Meadow of Ash Trees
Girl/Female
Indian, Sanskrit
Calmed
TUKEYS B-METHOD
TUKEYS B-METHOD
TUKEYS B-METHOD
TUKEYS B-METHOD
TUKEYS B-METHOD
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.
See Scyphus, 2 (b).
n.
See Moonfish (b).
n. pl.
See 1st Jeer (b).
n.
See Sunfish (b).
n.
Same as Serolin (b).
n.
See Tough-pitch (b).
a.
Turkish.
n.
See Popinjay, 1 (b).
n.
Same as Serolin (b).
n.
See Bullhead, 1 (b).
n.
See Flasher, 3 (b).
b.
Ardor inspired by passion or enthusiasm.
pl.
of Turkey
n. pl.
See 1st Jeer (b).
n.
See 2d Pie (b).
v.
(b)