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Statistical interpretation with many tests
requiring a stricter significance threshold for individual comparisons. The problem of multiple comparisons received increased attention in the 1950s with the
Multiple_comparisons_problem
Misinterpretation of statistical significance
and multiple comparisons to be directly compared. These techniques generally require a higher significance threshold for individual comparisons, so as
Misuse_of_p-values
Statistical technique used to correct for multiple comparisons
Bonferroni correction is a method to counteract the multiple comparisons problem in statistics. It is named after the mathematician Carlo Emilio Bonferroni
Bonferroni_correction
Statistical procedure
treatments with a single control. Multiple comparisons to a control are also referred to as many-to-one comparisons. Dunnett's test was developed in 1955;
Dunnett's_test
Fallacy in statistical hypothesis testing
decision-tree while analyzing data was at one point grouped with the multiple comparisons problem as an example of poor statistical method. However Gelman and
Forking_paths_problem
Statistical fallacy
not. It is the philosophical or rhetorical application of the multiple comparisons problem (in statistics) and apophenia (in cognitive psychology). It is
Texas_sharpshooter_fallacy
Logical error, form of selection bias
method that summarizes and/or integrates data from multiple sources Multiple comparisons problem – Statistical interpretation with many tests Myth of
Survivorship_bias
Misuse of data analysis
on uncovering such problems in social sciences research. Data dredging is an example of disregarding the multiple comparisons problem. One form is when
Data_dredging
American mathematician (1915–2000)
ISBN 978-0-534-05104-4. OCLC 165366083. Braun, Henry I., ed. (1994). Volume VIII: Multiple comparisons, 1949–1983. Chapman & Hall/CRC Press. ISBN 978-0-412-05121-0. OCLC 165099761
John_Tukey
Function of the observed sample results
Generalized p-value Harmonic mean p-value Holm–Bonferroni method Multiple comparisons problem p-rep p-value fallacy Italicisation, capitalisation and hyphenation
P-value
Post-hoc statistical test for pairwise comparisons
Data: A Model Comparison Perspective (3rd ed.). Routledge. doi:10.4324/9781315642956. ISBN 9781315642956. Multiple comparisons problem Newman–Keuls method
Fisher's least significant difference
Fisher's_least_significant_difference
Collection of statistical models
the follow-up tests incorporate a method of adjusting for the multiple comparisons problem. Follow-up tests to identify which specific groups, variables
Analysis_of_variance
Chinese and American biostatistician
metagenomics and associated problems in high-dimensional inference and data analysis including the multiple comparisons problem. Originally from China, she
Xinping_Cui
Statistical tool to assess investments
records). Sharpe ratio Backtesting Overfitting Selection bias Multiple comparisons problem Bailey, D. H., & López de Prado, M. (2014). The Deflated Sharpe
Deflated_Sharpe_ratio
Statistical hypothesis testing measure
hypotheses tends to yield many false positives: the so-called multiple comparisons problem. For example, assume that one were to test 1,000 null hypotheses
Q-value_(statistics)
Support-cells in the nervous system
claim that Einstein's brain is different is not scientific (cf. multiple comparisons problem). Not only does the ratio of glia to neurons increase through
Glia
Probability of making type I errors when performing multiple hypotheses tests
family of comparisons. Controlling the FWER (for example, with Bonferroni or Holm corrections) is a way to address the problem created with multiple testing
Family-wise_error_rate
Statistical method for multiple testing
p-value (HMP) is a statistical technique for addressing the multiple comparisons problem that controls the strong-sense family-wise error rate (this claim
Harmonic_mean_p-value
Filters used in signal processing that are optimal in some sense
processing Whittle likelihood Profile likelihood Detection theory Multiple comparisons problem Channel capacity Noisy-channel coding theorem Spectral density
Matched_filter
Observed inability to reproduce scientific studies
{\displaystyle 1-(1-0.05)^{20}=0.64} . Another possibility is the multiple comparisons problem. In 2009, it was twice noted that fMRI studies had a suspicious
Replication_crisis
Statistical analysis phenomenon
mathematical techniques. More generally known in statistics as the problem of multiple comparisons, the term gained some media attention in 2011, in the context
Look-elsewhere_effect
Concept in inferential statistics
combining independent tests of significance Look-elsewhere effect Multiple comparisons problem Sample size Texas sharpshooter fallacy (gives examples of tests
Statistical_significance
Measure of spacial autocorrelation
performed (one per sampling area) this approach suffers from the multiple comparisons problem. As noted by Anselin, this means the analysis of the local Geary
Geary's_C
Refutation of a logical fallacy
analysis Look-elsewhere effect – Statistical analysis phenomenon Multiple comparisons problem – Statistical interpretation with many tests Post hoc analysis –
Correlation does not imply causation
Correlation_does_not_imply_causation
Examination of two or more entities to deduce their similarities and differences
consumers and others invest excessive thought into making comparisons, this can result in the problem of analysis paralysis. Humans also tend to compare themselves
Comparison
Outcome measures referring to occurrence of abnormalities in clinical research trials
Health (CROWN) Initiative is one effort to standardize outcomes. Multiple comparisons problem "median overall survival". NCI Dictionary of Cancer Terms. National
Clinical_endpoint
Statistical analyses that were not specified before the data were seen
test, conducting multiple post hoc comparisons introduces a family-wise error rate problem, which is a type of multiple testing problem. This increases
Post_hoc_analysis
Extremely large or complex datasets
On the other hand, big data may also introduce new problems, such as the multiple comparisons problem: simultaneously testing a large set of hypotheses
Big_data
Statistical post-hoc test for multiple comparisons
performing multiple comparisons. Without such control, the probability of making at least one Type I error increases with the number of comparisons made. The
Tukey's_B_method
Security analysis methodology
timing Mathematical finance Multimedia information retrieval Multiple comparisons problem Overfitting Price action trading Texas sharpshooter fallacy William
Technical_analysis
Disease that damages the myelin sheaths around nerves
Multiple sclerosis (MS) is an autoimmune disease where the immune system attacks myelin, the insulating cover of nerve cells in the human body, causing
Multiple_sclerosis
American researcher (1927–2017)
controlling for confounding variables, and being subject to the multiple comparisons problem. In 1983, when the EPA was reviewing its air-quality standards
Herbert_Needleman
Dietary supplement containing vitamins
editorial argued that the study did not properly address the multiple comparisons problem, in that the authors neglected to fully analyze all 28 possible
Multivitamin
Algorithm that arranges lists in order
n ) {\displaystyle n\log {n}-1.4427n+O(\log {n})} comparisons. Algorithms not based on comparisons, such as counting sort, can have better performance
Sorting_algorithm
Logical error of focusing on incidents on failure
Cherry picking Econometrics Fooled by Randomness Meta-analysis Multiple comparisons problem Selection principle Texas sharpshooter fallacy Abrahamyan, Arman;
Failure_bias
Process of achieving a goal by overcoming obstacles
an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles
Problem_solving
Probability of shared birthdays
this result is made more intuitive by considering that the birthday comparisons will be made between every possible pair of individuals. With 23 individuals
Birthday_problem
Financial market is predictability seems to be inconsistent with theories of asset prices
data mining, and data dredging, and is closely related to the multiple comparisons problem. Concerns about selection bias in anomalies goes back at least
Market_anomaly
Thought experiment in ethics
The trolley problem is a thought experiment in moral philosophy and moral psychology with many variations, involving hypothetical ethical dilemmas about
Trolley_problem
MRI procedure that measures brain activity by detecting associated changes in blood flow
given the large number of voxels in a typical fMRI scan and the multiple comparisons problem. Before the controversies were publicized in 2010, between 25
Functional magnetic resonance imaging
Functional_magnetic_resonance_imaging
Statistics of spatial association
available based on the hypergeometric distribution but due to the multiple comparisons problem a permutation based approach is again preferred in practice.
Join_count_statistic
NP-hard problem in combinatorial optimization
often modelled as variants of the travelling salesman problem, where a picker must visit multiple storage locations and return to a start or drop-off point
Travelling_salesman_problem
Multiple comparison procedure
different p-mean comparisons according to the problem discussed. The example discussed by Duncan in his 1955 paper is of a comparison of many means (i
Duncan's new multiple range test
Duncan's_new_multiple_range_test
Problem of circular reasoning in statistics
Cross-validation Methods of compensation for multiple comparisons Simulation studies including adequate representation of the multiple-testing actually involved Henry
Testing hypotheses suggested by the data
Testing_hypotheses_suggested_by_the_data
Visualization technique for multivariate data
Compared to what? Small multiple designs, multivariate and data bountiful, answer directly by visually enforcing comparisons of changes, of the differences
Small_multiple
Cancer of plasma cells
the jaw, tooth mobility, and radiolucency. Multiple myeloma in the mouth can mimic common tooth problems such as periapical abscess or periodontal abscess
Multiple_myeloma
Multiple comparisons correction
Dunn–Šidák correction, is a method used to counteract the problem of multiple comparisons. It is a simple method to control the family-wise error rate
Šidák_correction
Mental illness with multiple personality states
psychiatric problems patients present with. This method of treatment is reportedly successful: What surprises many people is that multiple personalities
Dissociative identity disorder
Dissociative_identity_disorder
nature of these comparisons, and particularly whether they constitute antisemitism, is a matter of fervent controversy. Comparisons between Zionism and
Comparisons between Israel and Nazi Germany
Comparisons_between_Israel_and_Nazi_Germany
In software, to have several parent classes
diamond problem risk, because interface default methods were not available. All Java versions up to the current latest version 26 don't support multiple inheritance
Multiple_inheritance
Electric pickup truck
body panels, drawing comparisons to low-polygon computer models. While scheduled for production in late 2021, the vehicle had multiple delays before entering
Tesla_Cybertruck
Test where answers are chosen from lists
be assessed by multiple choice tests. Multiple choice tests are best adapted for testing well-defined or lower-order skills. Problem-solving and higher-order
Multiple_choice
Statistical hypothesis test
variable. "a priori comparisons"/ "planned comparisons"- a particular set of comparisons "pairwise comparisons"-all possible comparisons i.e. Fisher's least
F-test
Israeli statistician (born 1949)
involves complex problems with massive data. The methodological work is on selective and simultaneous inference (multiple comparisons), as well as on general
Yoav_Benjamini
Statistical method
method or Bonferroni–Holm method, is used to counteract the problem of multiple comparisons. It is intended to control the family-wise error rate (FWER)
Holm–Bonferroni_method
Amount of resources to perform an algorithm
O(n^{2})} comparisons would have to do a trillion of comparisons, which would need around three hours at the speed of 10 million of comparisons per second
Computational_complexity
Method for finding kth smallest value
most 2.942 n {\displaystyle 2.942n} comparisons. For other values of k {\displaystyle k} , the number of comparisons is smaller. Parallel algorithms for
Selection_algorithm
Type of sorting algorithm that works by comparing pairs of elements
outcomes. For comparison-based sorts, the decision to execute basic operations other than comparisons is based on the outcome of comparisons. Hence in a
Comparison_sort
Conflict of interest when one person acts on another's behalf
The agency problem can be intensified when an agent acts on behalf of multiple principals (see multiple principal problem). When multiple principals have
Principal–agent_problem
Culmination of a multiple pregnancy where two or more offspring are born
A multiple birth is the culmination of a multiple pregnancy, wherein the mother gives birth to two or more babies. A term most applicable to vertebrate
Multiple_birth
Problem in combinatorial optimization
The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items
Knapsack_problem
Educational model of human intelligence
solve problems or create products that are of value in a culture." This definition is unique for several reasons, including its emphasis on multiple forms
Theory of multiple intelligences
Theory_of_multiple_intelligences
Operations research that evaluates multiple conflicting criteria in decision making
decision problem into a hierarchy of subproblems. Then the decision-maker evaluates the relative importance of its various elements by pairwise comparisons. The
Multiple-criteria decision analysis
Multiple-criteria_decision_analysis
American psychologist, statistician & academic
she became interested in the multiple comparisons problem in statistics, where using the same experiment to make multiple inferences can cause a greater
Juliet_Popper_Shaffer
Computer bugs related to the year 2000
The term Year 2000 problem, or simply Y2K, refers to potential computer errors related to the formatting and storage of calendar data for dates in and
Year_2000_problem
Short story by Arthur Conan Doyle featuring Sherlock Holmes
"The Final Problem" is a short story by Sir Arthur Conan Doyle featuring his detective character Sherlock Holmes. It was first published in The Strand
The_Final_Problem
Computational problem of graph theory
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights
Shortest_path_problem
Welch's t-test), the problem continues to attract attention as one of the classic problems in statistics. Multiple comparisons: There are various ways
List of unsolved problems in statistics
List_of_unsolved_problems_in_statistics
Convention for reporting statistical results
035. ISSN 0167-9473. Greenwood, Mark; Banner, Katharine. "Multiple (pair-wise) comparisons using Tukey's HSD and the compact letter display - Mark Greenwood
Compact_letter_display
Decision problem in computer science
in practice. SSP is a special case of the knapsack problem and of the multiple subset sum problem. The time complexity of SSP depends on two parameters:
Subset_sum_problem
Divergent sum of positive unit fractions
infinitely many prime numbers, the analysis of the coupon collector's problem on how many random trials are needed to provide a complete range of responses
Harmonic_series_(mathematics)
Type of software that helps make decisions
The extent to which the decision problem is broken into a hierarchy of sub-problems; Whether or not pairwise comparisons of alternatives and/or criteria
Decision-making_software
compares notable text editors. It may not be up-to-date or all-inclusive. Comparisons are between stable versions (not upcoming or beta releases) and are exclusive
Comparison_of_text_editors
Design of experiments in statistics
argued that the problem of multiple treatments can be incorporated in multilevel models, which addresses the multiple comparisons problems while yielding
Multiple_treatments
Differential calculus on function spaces
Euler–Lagrange equation of the calculus of variations. A simple example of such a problem is to find the curve of shortest length connecting two points. If there
Calculus_of_variations
Notable software packages that are nominal IDE
Go to this page: Source code editors for Erlang Go to this page: Comparison of IDE choices for Haxe programmers Java has strong IDE support, due not only
Comparison of integrated development environments
Comparison_of_integrated_development_environments
Psychological theory regarding individuals on the autism spectrum
The double empathy problem is a psychological and sociological theory first coined in 2012 by Damian Milton, an autistic autism researcher. This theory
Double_empathy_problem
Channel access method used by various radio communication technologies
and is used to reject multi-path interference. An analogy to the problem of multiple access is a room (channel) in which people wish to talk to each other
Code-division_multiple_access
Structured technique for organizing and analyzing complex decisions
utilized to estimate the relative magnitudes of factors through pair-wise comparisons. Each of the respondents compares the relative importance of each pair
Analytic_hierarchy_process
scale (e.g. 1 to 9). These two sets of pairwise comparisons are used as input for an optimization problem, the optimal results of which are the weights
Best_worst_method
Non-parametric statistical test
Friedman test. If the p-value is significant, appropriate post-hoc multiple comparisons tests would be performed. When using this kind of design for a binary
Friedman_test
Search algorithm finding the position of a target value within a sorted array
Since binary search is the optimal algorithm for searching with comparisons, this problem is reduced to calculating the minimum internal path length of
Binary_search
Statistical test for multiple comparisons
"Reminder sheets for Multiple comparisons. Unpublished manuscript". Brown, 1984. Tukey, J. W. (1953). "The problem of multiple comparisons. Unpublished manuscript"
Newman–Keuls_method
Critique of planned economies
The economic calculation problem (ECP) is a criticism of using central economic planning (rather than market-based mechanisms) for the allocation of the
Economic_calculation_problem
Concept in mathematics
particularly to phase transitions in matter, a Stefan problem is a particular kind of boundary value problem for a system of partial differential equations (PDE)
Stefan_problem
Cosmological fine-tuning problem
The flatness problem (also known as the oldness problem) is a cosmological fine-tuning problem within the Big Bang model of the universe. Measurements
Flatness_problem
and open-source software portal Linux portal Comparison of netbook-oriented Linux distributions Comparison of operating systems DistroWatch List of Linux
Comparison of Linux distributions
Comparison_of_Linux_distributions
Philosophical question of how to distinguish between science and non-science
In philosophy of science and epistemology, the demarcation problem is the question of how to distinguish between science and non-science. It also examines
Demarcation_problem
Dinosaur mass and length estimates
ISSN 0962-8452. PMC 2842649. PMID 19846460. Media related to Dinosauria size comparisons at Wikimedia Commons The Biggest Carnivore: Dinosaur History Rewritten
Dinosaur_size
Rapid growth of the complexity of a problem due to its combinatorial properties
a combinatorial explosion is the rapid growth of the complexity of a problem due to the way its combinatorics depends on input, constraints and bounds
Combinatorial_explosion
Algorithmic problem on pairs of sequences
sequence, only two additional comparisons are performed. Most of the time taken by the naive algorithm is spent performing comparisons between items in the sequences
Longest_common_subsequence
American television reality game show
incorporates elements of strategy, deception, and social deduction, drawing comparisons to other reality series like The Traitors and The Mole. It was renewed
Million_Dollar_Secret
Feature of some programming languages
datatype). Efficient implementation of multiple-dispatch remains an ongoing research problem. To estimate how often multiple dispatch is used in practice, Muschevici
Multiple_dispatch
Sum of inverse squares of natural numbers
The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed
Basel_problem
Alignment of more than two molecular sequences
successfully used to find a faster solution to the MSA problem. The necessary use of heuristics for multiple alignment means that for an arbitrary set of proteins
Multiple_sequence_alignment
Optimization problem
Job-shop scheduling, the job-shop problem (JSP) or job-shop scheduling problem (JSSP) is an optimization problem in computer science and operations research
Job-shop_scheduling
orthogonal factorizations (QR, QL, generalized factorizations) EVP – eigenvalue problems SVD – singular value decomposition GEVP – generalized EVP GSVD – generalized
Comparison of linear algebra libraries
Comparison_of_linear_algebra_libraries
Mathematical and computational problem
a network prefix into multiple subnets, and technology mapping in FPGA semiconductor chip design. Computationally, the problem is NP-hard, and the corresponding
Bin_packing_problem
Research method developed by Richard Solomon
[citation needed] The effectiveness of the treatment can be evaluated by comparisons between groups 1 and 3 and between groups 2 and 4.[citation needed].
Solomon_four-group_design
Basic unit of taxonomic classification, below genus
cost of comparison. In situations like this, tens to hundreds of loci may be extracted from each genome and used together. As with comparisons with fewer
Species
MULTIPLE COMPARISONS-PROBLEM
MULTIPLE COMPARISONS-PROBLEM
Boy/Male
Muslim
Companions
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Without Comparison
Girl/Female
Hindu
Comparison
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hebrew American Latin
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Australian, Vietnamese
Many; Multiple
Boy/Male
Muslim
Multiple lights. Luster.
Girl/Female
Tamil
Comparison
Boy/Male
Indian
Companions
Boy/Male
Hebrew
God shall multiply.
Boy/Male
Hindu, Indian, Tamil
Multiple
Boy/Male
Hebrew Spanish
God will multiply.
Boy/Male
Hebrew Spanish
God will multiply.
Boy/Male
Hebrew
God will multiply.
Boy/Male
Tamil
Without comparison
Boy/Male
Hebrew
God will multiply.
Boy/Male
Hindu, Indian
Un Countable; Multiple; Countless
MULTIPLE COMPARISONS-PROBLEM
MULTIPLE COMPARISONS-PROBLEM
Boy/Male
Hindu
One who wears snakes as ornaments, Lord Shiva
Girl/Female
Hindu
Culture
Biblical
she-wolf
Boy/Male
Greek
Hundred-armed Titan in Greek mythology.
Boy/Male
Indian
The first
Girl/Female
American, British, English, Hebrew
Supplanter; Abbreviation of Jaqueline which is the Feminine Form of Jacques; Holder of the Heel
Boy/Male
English
Anne's son; son of God. Famous Bearer: actor Anson Williams.
Boy/Male
British, English
From the Temple Settlement
Girl/Female
Arabic, Bengali, Indian, Modern
Poetry
Girl/Female
Tamil
Rishita Shree | ரீஷீதா ஷà¯à®°à¯€Â
Saintly
MULTIPLE COMPARISONS-PROBLEM
MULTIPLE COMPARISONS-PROBLEM
MULTIPLE COMPARISONS-PROBLEM
MULTIPLE COMPARISONS-PROBLEM
MULTIPLE COMPARISONS-PROBLEM
n.
The number which is to be multiplied by another number called the multiplier. See Note under Multiplication.
n.
One who, or that which, multiplies or increases number.
a.
Having many flues; as, a multiflue boiler. See Boiler.
a.
Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.
n.
The number by which another number is multiplied; a multiplier.
n.
The number by which another number is multiplied. See the Note under Multiplication.
n.
Comparison.
v. t.
To multiply; to make manifold.
p. pr. & vb. n.
of Multiply
a.
Tending to multiply; having the power to multiply, or incease numbers.
n.
The modification, by inflection or otherwise, which the adjective and adverb undergo to denote degrees of quality or quantity; as, little, less, least, are examples of comparison.
adv.
So as to multiply.
imp. & p. p.
of Multiply
v. t.
To multiply; to increase.
n.
Similitude; comparison.
a.
Manifold; multiple.
n.
The state of being compared; a relative estimate; also, a state, quality, or relation, admitting of being compared; as, to bring a thing into comparison with another; there is no comparison between them.
v. t.
To add (any given number or quantity) to itself a certain number of times; to find the product of by multiplication; thus 7 multiplied by 8 produces the number 56; to multiply two numbers. See the Note under Multiplication.
n.
Multiplied diversity.
n.
A quantity containing another quantity a number of times without a remainder.