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Statistical hypothesis test
A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large
Chi-squared_test
Evaluates how likely it is that any difference between data sets arose by chance
Pearson's chi-squared test or Pearson's χ 2 {\displaystyle \chi ^{2}} test is a statistical test applied to sets of categorical data to evaluate how likely
Pearson's_chi-squared_test
Statistical test used on paired nominal data
χ 2 {\displaystyle \chi ^{2}} is not well-approximated by the chi-squared distribution. [citation needed] An exact binomial test can then be used, where
McNemar's_test
Probability distribution and special case of gamma distribution
following hypothesis tests, among others: Chi-squared test of independence in contingency tables Chi-squared test of goodness of fit of observed data to
Chi-squared_distribution
Statistical test
G-tests are likelihood-ratio or maximum likelihood statistical significance tests that are increasingly being used in situations where chi-squared tests
G-test
Topics referred to by the same term
The term chi-square, chi-squared, or χ 2 {\displaystyle \chi ^{2}} has various uses in statistics: chi-square distribution, a continuous probability distribution
Chi-square
Principle in genetics
2}=0.023.} For two alleles, the chi-squared goodness of fit test for Hardy–Weinberg proportions is equivalent to the test for inbreeding, F = 0 {\displaystyle
Hardy–Weinberg_principle
Statistical method
statistics, Yates's correction for continuity (or Yates's chi-squared test) is a statistical test commonly used when analyzing count data organized in a
Yates's correction for continuity
Yates's_correction_for_continuity
Form of statistical factor analysis
indices include, but are not limited to, the Chi-Squared test, RMSEA, GFI, AGFI, RMR, and SRMR. The chi-squared test indicates the difference between observed
Confirmatory_factor_analysis
Analog graphical calculator
some values needed when performing a familiar statistical test, Pearson's chi-squared test. This nomogram demonstrates the use of curved scales with unevenly
Nomogram
Metric for fit of statistical models
Anderson–Darling test Berk-Jones tests Shapiro–Wilk test Chi-squared test Akaike information criterion Hosmer–Lemeshow test Kuiper's test Kernelized Stein
Goodness_of_fit
Statistical methods for comparing samples
calculations. The test is related to other well known tests such as Pearson's chi-squared test, Fisher's exact test for small samples, and McNemar's test for paired
Two-proportion_Z-test
Statistic used in statistical hypothesis testing
proportion). Chi-squared tests use the same calculations and the same probability distribution for different applications: Chi-squared tests for variance
Test_statistic
Categorical data analysis trend
and an ordinal variable with k categories. It modifies the Pearson chi-squared test to incorporate a suspected ordering in the effects of the k categories
Cochran–Armitage test for trend
Cochran–Armitage_test_for_trend
Statistical significance test
The usual rule for deciding whether the chi-squared approximation is good enough is that the chi-squared test is not suitable when the expected values
Fisher's_exact_test
Test statistic
statistics, the reduced chi-square statistic is used extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD)
Reduced_chi-squared_statistic
Comparative statistical test
median test (also Mood’s median-test, Westenberg-Mood median test or Brown-Mood median test) is a special case of Pearson's chi-squared test. It is a
Median_test
Twenty-second letter of the Greek alphabet
various uses, including the chi-squared distribution, the chi-squared test, and chi-squared target model In algebraic topology, Chi is used to represent the
Chi_(letter)
Statistical measure of association
giving a value between 0 and +1 (inclusive). It is based on Pearson's chi-squared statistic and was published by Harald Cramér in 1946. φc is the intercorrelation
Cramér's_V
Statistical test of variance
overall or a global test. Other names include F-test or Chi-squared test. It is a statistical test implemented on an overall hypothesis that tends to find
Omnibus_test
Class of statistical tests
Kolmogorov–Smirnov test, adjusted for when also estimating the mean and variance from the data, Shapiro–Wilk test, and Pearson's chi-squared test. A 2011 study
Normality_test
Ways of computing statistical significance
colored in green. One-tailed tests are used for asymmetric distributions that have a single tail, such as the chi-squared distribution, which are common
One-_and_two-tailed_tests
hypothesis can also be tested by using Pearson's chi-squared test χ 2 = ∑ i = 1 k ( x i − E i ) 2 E i {\displaystyle ~\chi ^{2}=\sum _{i=1}^{k}{\frac
Multinomial_test
Statistical test
of the Breusch–Pagan test. It is a chi-squared test: the test statistic is distributed nχ2 with k degrees of freedom. If the test statistic has a p-value
Breusch–Pagan_test
Non-parametric method for testing whether samples originate from the same distribution
"A simple guide to the use of Student's t-test, Mann-Whitney U test, Chi-squared test, and Kruskal-Wallis test in biostatistics". BioData Mining. 18 (56):
Kruskal–Wallis_test
Noncentral generalization of the chi-squared distribution
statistics, the noncentral chi-squared distribution (or noncentral chi-square distribution, noncentral χ 2 {\displaystyle \chi ^{2}} distribution) is a
Noncentral chi-squared distribution
Noncentral_chi-squared_distribution
Statistical confidence interval for success counts
mirrors Pearson's chi-squared test, the Wilson interval with continuity correction mirrors the equivalent Yates' chi-squared test. The following formulae
Binomial proportion confidence interval
Binomial_proportion_confidence_interval
Function of the observed sample results
in his Pearson's chi-squared test, using the chi-squared distribution and notated as capital P. The p-values for the chi-squared distribution (for various
P-value
Wonderlic Test Iq test Trust metric Ames test Chi-squared test Draize test Dixon's Q test F-test Fisher's exact test GRIM test Kolmogorov–Smirnov test Kuiper's
List_of_tests
Statistical model for a binary dependent variable
}}_{\varphi })=11.6661\ldots } Using the chi-squared test of significance, the integral of the chi-squared distribution with one degree of freedom from
Logistic_regression
Statistical error
and instrumentation. Sample ratio mismatches can be detected using a chi-squared test. Using methods to detect SRM can help non-experts avoid making decisions
Sample_ratio_mismatch
Table that displays the frequency of variables
with examples Interactive cross tabulation, chi-squared independent test, and tutorial Fisher and chi-squared calculator of 2 × 2 contingency table More
Contingency_table
involves the observation that Pearson's chi-squared test is an approximate test. Suppose Pearson's chi-squared test is used to ascertain whether a six-sided
Exact_test
Statistical hypothesis test in econometrics
(b_{1})\\&=\operatorname {Var} (b_{0})-\operatorname {Var} (b_{1})\end{aligned}}} The chi-squared test is based on the Wald criterion H = χ 2 [ K − 1 ] = ( b 1 − b 0 ) ′
Durbin–Wu–Hausman_test
English eugenicist and polymath (1857–1936)
later proposed by Jerzy Neyman and Egon Pearson. Pearson's chi-squared test. A hypothesis test using normal approximation for discrete data. Principal component
Karl_Pearson
Statistical hypothesis test
"A simple guide to the use of Student's t-test, Mann-Whitney U test, Chi-squared test, and Kruskal-Wallis test in biostatistics". BioData Mining. 18 (56)
Student's_t-test
statistics, minimum chi-square estimation is a method of estimation of unobserved quantities based on observed data. In certain chi-square tests, one rejects
Minimum_chi-square_estimation
Statistical property
regression, the explained sum of squares is retained, divided by two, and then becomes the test statistic for a chi-squared distribution with the degrees
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
results. Tests for paired data include McNemar's test and the paired permutation test. Tests for unpaired data include Pearson's chi-squared test and Fisher's
Paired_data
Psychometric measurement scale
The chi-squared, Cochran's Q test, or McNemar test are common statistical procedures used after this transformation. Non-parametric tests, such as chi-squared
Likert_scale
Associative array for storing key–value pairs
design, but may be evaluated empirically using statistical tests, e.g., a Pearson's chi-squared test for discrete uniform distributions. The distribution needs
Hash_table
Statistical test that compares goodness of fit
g. the Z-test, the F-test, the G-test, and Pearson's chi-squared test; for an illustration with the one-sample t-test, see below. If the models are not
Likelihood-ratio_test
Experiment methodology
A/B testing (also known as bucket testing, split-run testing or split testing) is a user-experience research method. A/B tests consist of a randomized
A/B_testing
Formula used for traffic
England. Although its mathematical form is similar to a chi-squared test, is not a true statistical test. Rather, it is an empirical formula that has proven
GEH_statistic
Data evaluation test
key size far smaller than its actual size and to perform poorly on a chi-squared test. The use of an ill-conceived random number generator can put the validity
Randomness_test
Test of statistical significance
as the basis for alternative tests that are much quicker to compute, such as Pearson's chi-squared test and the G-test. However, for small samples these
Binomial_test
Statistical measure of how far values spread from their average
as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically
Variance
Nonparametric test of the null hypothesis
"A simple guide to the use of Student's t-test, Mann-Whitney U test, Chi-squared test, and Kruskal-Wallis test in biostatistics". BioData Mining. 18 (56):
Mann–Whitney_U_test
Statistical measure of the magnitude of a phenomenon
square root of the chi-squared statistic divided by the sample size. Similarly, Cramér's V is computed by taking the square root of the chi-squared statistic
Effect_size
Method of statistical inference
equal given "conventional wisdom". 1900: Karl Pearson develops the chi squared test to determine "whether a given form of frequency curve will effectively
Statistical_hypothesis_test
Normality test
statistic asymptotically has a chi-squared distribution with two degrees of freedom, so the statistic can be used to test the hypothesis that the data are
Jarque–Bera_test
Battery of statistical tests
226 = 2. A sample of 500 js is taken, and a chi-square goodness of fit test provides a p value. The first test uses bits 1–24 (counting from the left) from
Diehard_tests
Type of scatter plot
ratio and its y value can be -log10 of the p value from a Chi-square test or a Chi-square test statistic. Volcano plots show a characteristic upwards two
Volcano_plot_(statistics)
Business process improvement technique
model ANOVA Gauge R&R Regression analysis Correlation Scatter diagram Chi-squared test Axiomatic design Business Process Mapping/Check sheet Cause & effects
Six_Sigma
Graphical representation of the distribution of numerical data
choice of bins is motivated by maximizing the power of a Pearson chi-squared test testing whether the bins do contain equal numbers of samples. More specifically
Histogram
Study of collection and analysis of data
statistical tests and procedures are: Analysis of variance (ANOVA) Chi-squared test Correlation Factor analysis Mann–Whitney U Mean square weighted deviation
Statistics
Series of graphing calculators
calculation Calculate series (summation or infinite product) Calculate chi squared test Calculate complex numbers Factoring polynomial: factor(polynomial)
TI-89_series
Statistical technique
a significant chi-squared test. Although the χ 2 {\displaystyle \chi ^{2}} statistic used in inferential statistics and the chi-square distance are computationally
Correspondence_analysis
Exact test
methods also apply, and are discussed in the article on Pearson's chi-squared test. The experimental result is only revealed in the interior of the table
Barnard's_test
Elementary cellular automaton
that as a random number generator Rule 30 exhibits poor behavior on a chi squared test when applied to all the rule columns as compared to other cellular
Rule_30
categorical variables. Bowker's test of symmetry Categorical distribution, general model Chi-squared test Cochran–Armitage test for trend Cochran–Mantel–Haenszel
List of analyses of categorical data
List_of_analyses_of_categorical_data
Study of genetic variants in different individuals
significance of the odds ratio is typically calculated using a simple chi-squared test. Finding odds ratios that are significantly different from 1 is the
Genome-wide_association_study
Observation that in many real-life datasets, the leading digit is likely to be small
failed to obey Benford's law on second digits. Although the chi-squared test has been used to test for compliance with Benford's law it has low statistical
Benford's_law
Measure of equal representation
Index is a disproportionality index derived by applying the Pearson's chi-squared test to the seats-to-votes ratio, the Gallagher index has a similar formula
Seats-to-votes_ratio
Mathematical function for the probability a given outcome occurs in an experiment
chi-squared test) Student's t distribution, the distribution of the ratio of a standard normal variable and the square root of a scaled chi squared variable;
Probability_distribution
Quantity that indexes a parametrized family of probability distributions
out (for example, the number of degrees of freedom in a Pearson's chi-squared test). Even if a family of distributions is not specified, quantities such
Statistical_parameter
Mapping arbitrary data to fixed-size values
function. When testing a hash function, the uniformity of the distribution of hash values can be evaluated by the chi-squared test. This test is a goodness-of-fit
Hash_function
Retired telecommunications software service/application
detection methods used by these companies were often private, Pearson's chi-squared test and naive Bayes classification were two approaches that were published
Skype
Branch of statistics
chi-squared test) Student's t distribution, the distribution of the ratio of a standard normal variable and the square root of a scaled chi squared variable;
Mathematical_statistics
British polymath (1890–1962)
error functions of several well known statistics presented Pearson's chi-squared test and William Gosset's Student's t-distribution in the same framework
Ronald_Fisher
space (disambiguation) Pattern recognition Pearson's chi-squared test (one of various chi-squared tests) Pearson distribution Pearson product-moment correlation
List_of_statistics_articles
Statistical test based on the gradient of the likelihood function
converge to a noncentral chi-squared distribution with possibly different noncentrality parameters. A more general score test can be derived when there
Score_test
Point cloud processing software
the nearest neighbor distance, ...) statistics computation (spatial Chi-squared test, ...) segmentation (connected components labeling, front propagation
CloudCompare
Measure of goodness of fit for a statistical model
information criterion Hosmer–Lemeshow test, a quality of fit statistic that can be used for binary data Pearson's chi-squared test, an alternative quality of fit
Deviance_(statistics)
Free and open-source chess engine
program, using sequential probability ratio testing. Tests on the framework are verified using the chi-squared test, and only if the results are statistically
Stockfish_(chess)
Measure of electoral disproportionality
measures." The Sainte-Laguë index is closely related to the Pearson's chi-squared test, which some[who?] argue gives it better statistical underpinning than
Sainte-Laguë_Index
Branch of statistics
approximately has a Chi-squared distribution with one degree of freedom, and the p-value is calculated using the Chi-squared test. For the example data
Survival_analysis
Statistics software
statistical tests including t-tests, F-tests, and chi-square-tests, among others. Additionally, the user must determine which of the many contexts this test is
G*Power
corpsy0491. ISBN 978-0-470-17024-3. McHugh, Mary L. (15 June 2013). "The Chi-square test of independence". Biochemia Medica. 23 (2): 143–149. doi:10.11613/BM
List_of_statistical_tests
Type of probability distribution
In statistics, particularly in hypothesis testing, the Hotelling's T-squared distribution (T2), proposed by Harold Hotelling, is a multivariate probability
Hotelling's T-squared distribution
Hotelling's_T-squared_distribution
Type of statistical analysis
estimates the accuracy/sampling distribution of a statistic Chi-squared test Cochran's Q: tests whether k treatments in randomized block designs with 0/1
Nonparametric_statistics
Statistical test
RVR')} Recalling that a quadratic form of normal distribution has a Chi-squared distribution: n ( R θ ^ n − r ) ′ [ R V R ′ ] − 1 n ( R θ ^ n − r ) →
Wald_test
Algorithm that generates an approximation of a random number sequence
statistical tests. The tests are the monobit test (equal numbers of ones and zeros in the sequence), poker test (a special instance of the chi-squared test), runs
Pseudorandom_number_generator
Statistical test for analysis of contingency tables
respectively disease continuations and not fixed in advance. Pearson's chi-squared test (without any "continuity correction") is the correct choice for the
Boschloo's_test
Pseudoscience linking character and blood type
[citation needed] On the other hand, in 1934, Fisher announced the chi-squared test, which is very popular at present, for the first time. Several scholars
Blood_type_personality_theory
1865 article by Gregor Mendel
public domain. In 1936, the statistician Ronald Fisher used a Pearson's chi-squared test to analyze Mendel's data and concluded that Mendel's results with the
Experiments on Plant Hybridization
Experiments_on_Plant_Hybridization
Statistical testing method
test Kuiper's test Median test 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-sample_hypothesis_testing
Statistical theorem
distribution of the test statistic − 2 log ( Λ ) {\displaystyle -2\log(\Lambda )} asymptotically approaches the chi-squared ( χ 2 {\displaystyle \chi ^{2}} ) distribution
Wilks'_theorem
Measure of dependence between two variables
Pearson's chi-squared test statistics, G-test statistics, etc. In fact, with the same log base, mutual information will be equal to the G-test log-likelihood
Mutual_information
functions of several well known statistics (1924) presented Pearson's chi-squared test and William Sealy Gosset's t in the same framework as the Gaussian
History_of_statistics
Decision tree learning technique
Chi-square automatic interaction detection (CHAID) is a decision tree technique based on adjusted significance testing (Bonferroni correction, Holm-Bonferroni
Chi-square automatic interaction detection
Chi-square_automatic_interaction_detection
Quality of a numerical sequence of having no recognizable patterns
Society in 1938. They were built on statistical tools such as Pearson's chi-squared test that were developed to distinguish whether experimental phenomena matched
Statistical_randomness
Technique used in statistics
accounts for the variance in the observed frequencies. (A Pearson's chi-square test could be used instead of log-linear analysis, but that technique only
Log-linear_analysis
Topics referred to by the same term
"Pearson's r" Pearson's chi-squared test, a statistical procedure whose results are evaluated by reference to the chi-square distribution Pearson's Chapel
Pearson's
Method for fitting a statistical model to data
minimum-distance estimation. The chi-square test uses as its criterion the sum, over predefined groups, of the squared difference between the increases
Minimum-distance_estimation
Deliberate death by means of a railway vehicle
suicide are more likely to die. The suicides skewed younger, but after a chi-squared test the authors discounted that as an artifact created by the low sample
Rail_suicide
Statistical test for logistic regression models
model. This helps to avoid singular decile groups. The Pearson chi-squared goodness of fit test cannot be readily applied if there are only one or a few observations
Hosmer–Lemeshow_test
Computational technique to find word sequences
every word pairs. Proposed formulas are mutual information, t-test, z test, chi-squared test and likelihood ratio. Within the area of corpus linguistics
Collocation_extraction
Generalization of the binomial distribution
independent constraints. This is the theoretical justification for Pearson's chi-squared test. Theorem. Given functions f 1 , … , f ℓ {\displaystyle f_{1},\dots
Multinomial_distribution
Mathematical data production model with limited structure
prediction differences. A statistical test such as chi-squared on the residuals is not particularly useful. The chi squared test requires known standard deviations
Grey_box_model
CHI SQUARED-TEST
CHI SQUARED-TEST
Female
Thai/Siamese
Thai name NGAM-CHIT means "good heart."
Boy/Male
Arabic, Muslim
Scared
Boy/Male
Tamil
Harshnil | ஹரà¯à®·à¯à®¨à¯€à®²
Scared
Harshnil | ஹரà¯à®·à¯à®¨à¯€à®²
Surname or Lastname
English
English : variant spelling of Chinn.Chinese : variant of Jin 1.Chinese : Cantonese variant of Qian.Chinese : variant of Qin 1.Chinese : variant of Qin 2.Chinese : variant of Jin 2.Chinese : variant of Jin 3.Korean : there are four Chinese characters for the surname Chin, representing five clans. At least three of the clans have origins in China; most of them migrated to Korea during the Kory{ou} period (ad 918–1392).
Boy/Male
Italian
Squire.
Female
Vietnamese
Vietnamese name THI means "poem."
Girl/Female
Hindu
Equaled, Similar
Female
Japanese
Variant spelling of Japanese Chou, CHO means "butterfly."
Girl/Female
Tamil
Scared
Girl/Female
Hindu
Scared
Male
Welsh
 Welsh name, possibly derived from Latin Caius, CAI means "lord." In Arthurian legend, this was the name of a Knight of the Round Table. Compare with another form of Cai.
Girl/Female
Muslim
Scared
Boy/Male
African
God'.
Female
Vietnamese
Vietnamese name CHI means "tree branch."
Male
Scandinavian
 Variant spelling of Scandinavian Kai, possibly CAI means "lord." Compare with another form of Cai.
Boy/Male
Hindu, Indian
Scared
Surname or Lastname
English
English : patronymic from Squire.
Female
Japanese
(æµ) Japanese name CHIE means "wisdom."
Boy/Male
Hindu, Indian, Marathi
Scared
Girl/Female
Tamil
Equaled, Similar
CHI SQUARED-TEST
CHI SQUARED-TEST
Girl/Female
Hindu, Indian, Traditional
Splendid
Boy/Male
Italian American
God has shown favor.' See also Jovan.
Girl/Female
Arabic, French, Gujarati, Indian, Kannada, Muslim, Sindhi
Finger Tips; Delicate
Boy/Male
Arabic, Muslim
Given in a Trust; Spared for Welfare
Boy/Male
Hindu
Bestowed of success
Male
English
Early English form of Celtic Arthur, possibly ARTUR means "bear-man."Â
Surname or Lastname
English
English : variant of Rand 1, from the Old French oblique case.
Female
English
Variant spelling of English Colleen, COLENE means "girl."
Male
Scandinavian
Scandinavian form of Icelandic Viggó, a short form of Nordic names beginning with Vig-, VIGGE means "lightning."
Boy/Male
Arabic, Muslim
Straight
CHI SQUARED-TEST
CHI SQUARED-TEST
CHI SQUARED-TEST
CHI SQUARED-TEST
CHI SQUARED-TEST
n.
One who, or that which, squares.
n.
One who squares, or quarrels; a hot-headed, contentious fellow.
n.
A square; a measure; a rule.
n.
Having the toe square.
n.
An instrument having at least one right angle and two or more straight edges, used to lay out or test square work. It is of several forms, as the T square, the carpenter's square, the try-square., etc.
n.
A square. See 1st Squire.
imp. & p. p.
of Square
n.
To multiply by itself; as, to square a number or a quantity.
a.
Even; leaving no balance; as, to make or leave the accounts square.
n.
The product of a number or quantity multiplied by itself; thus, 64 is the square of 8, for 8 / 8 = 64; the square of a + b is a2 + 2ab + b2.
adv.
In a square form or manner.
a.
Forming a right angle; as, a square corner.
a.
Also used figuratively; as, sugared kisses.
n.
A square piece or fragment.
a.
Having four equal sides and four right angles; as, a square figure.
n.
To place at right angles with the keel; as, to square the yards.
n.
Hence, anything which is square, or nearly so
a.
Rendering equal justice; exact; fair; honest, as square dealing.
a.
Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.
imp. & p. p.
of Squire