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WHAT DOES CHI-SQUARE DISTRIBUTION MEAN IN ENGLISH?
In probability theory and statistics, the chi-squared distribution with k degrees of freedom is the distribution of a sum of the squares of k independent standard normal random variables. A special case of the gamma distribution, it is one of the most widely used probability distributions in inferential statistics, e.g., in hypothesis testing or in construction of confidence intervals. When there is a need to contrast it with the noncentral chi-squared distribution, this distribution is sometimes called the central chi-squared distribution. The chi-squared distribution is used in the common chi-squared tests for goodness of fit of an observed distribution to a theoretical one, the independence of two criteria of classification of qualitative data, and in confidence interval estimation for a population standard deviation of a normal distribution from a sample standard deviation. Many other statistical tests also use this distribution, like Friedman's analysis of variance by ranks.
Definition of chi-square distribution in the English dictionary
The definition of chi-square distribution in the dictionary is a continuous single-parameter distribution derived as a special case of the gamma distribution and used esp to measure goodness of fit and to test hypotheses and obtain confidence intervals for the variance of a normally distributed variable.
The translations of chi-square distribution from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «chi-square distribution» in English.
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «chi-square distribution».
FREQUENCY OF USE OF THE TERM «CHI-SQUARE DISTRIBUTION» OVER TIME
The graph expresses the annual evolution of the frequency of use of the word «chi-square distribution» during the past 500 years. Its implementation is based on analysing how often the term «chi-square distribution» appears in digitalised printed sources in English between the year 1500 and the present day.
Examples of use in the English literature, quotes and news about chi-square distribution
10 ENGLISH BOOKS RELATING TO «CHI-SQUARE DISTRIBUTION»
Discover the use of chi-square distribution in the following bibliographical selection. Books relating to chi-square distribution and brief extracts from same to provide context of its use in English literature.
Tables of the Cumulative Non-central Chi-squareDistribution
Three extensive tables related to the cumulative non-central chi-square distribution are pre sented, namely: (1) the power of the non-central chi-square distribution, (2) the non-centrality parameter of the non-central chi-square distri ...
George E. Haynam, Z. Govindarajulu, Fred C. Leone, 1962
Handbook of Parametric and Nonparametric Statistical ...
... the prespecified level of significance in the upper tail of the chi-squaredistribution, or equal to or less than the tabled critical two-tailed chi-square value
at the prespecified level of significance in the lower tail of the chi-squaredistribution.4 b) ...
David J. Sheskin, 2003
Analysis and Management of Animal Populations: Modeling, ...
Chi-Square Distribution The chi-square distribution arises naturally from the
normal distribution, in that the square of a standard normal random variable has
a chi-square distribution with one "degree of freedom," and the sum of squares of
Byron K. Williams, James D. Nichols, Michael J. Conroy, 2002
Statistics Applied to Clinical Trials
The Chi-square-distribution focused on in this paper is, thus, just another
approach of the bell-shape-like normal distribution and is also the basic element
of the F-distribution. Having some idea of the interrelations of these distributions
will be ...
Ton J. Cleophas, Aeilko H. Zwinderman, Toine F. Cleophas, 2008
Elementary Statistics: A Problem Solving Approach 4th Edition
It is possible to prove mathematically that under proper conditions the distribution
takes a particular mathematical form, which is called the chi square distribution.
The normal distribution is a family of curves, requiring specification of mean (M) ...
Andrew L. Comrey, Howard B. Lee, 2006
Essentials of Statistics for the Behavioral Sciences
To decide whether a particular chi-square value is “large” or “small,” we must
refer to a chi-square distribution. This distribution is the set of chi-square values
for all of the possible random samples when H0 is true. Much like other
Frederick Gravetter, Larry Wallnau, 2013
An Author and permuted title index to selected statistical ...
... DERIVATION OF THE NON-CENTRAL CHI-SQUARE DISTRIBUTION 99.9
PERCENT AND O.1 PERCENT POINTS OF THE CHI-SQUARE DISTRIBUTION
ON THE NON-CENTRAL CHI-SQUARE DISTRIBUTION APPROXIMATIONS TO
Brian L. Joiner, 1970
Analyzing Quantitative Data: An Introduction for Social ...
The chi-square distribution shows the frequencies of the values obtained through
the calculations described later in this chapter. A calculated value indicates the
degree of the difference between expected and observed scores. You can ...
Debra Wetcher-Hendricks, 2014
Statistics Made Simple for Researchers' 2008 Ed.
This chapter discusses chi-square distribution, chi-square test of goodness- of-fit,
concepts of contingency table, chi-square test of association, chi-square test of
homogeneity and chi-square test for larger contingency table. Chi-square ...
Introduction to Business Statistics
468 0 Explain the nature of the chi-square distribution. 0 List and understand the
general procedures involved in chi-squa re 0 Apply the chi-square distribution in
testing whether a sample i could have come from a population having a ...
Ronald Weiers, 2010
7 NEWS ITEMS WHICH INCLUDE THE TERM «CHI-SQUARE DISTRIBUTION»
Find out what the national and international press are talking about and how the term chi-square distribution is used in the context of the following news items.
An accurate test for homogeneity of odds ratios based on CochranÂ …
For the situation in which the effects of the studies are logarithms of odds ratios, the chi-square distribution is much too conservative for ... «7thSpace Interactive, Jun 15»
The Parts-Per-Million Problem
The reference chi-square distribution with 11 degrees of freedom has a 99th percentile of 24.73. Thus, at the 1-percent level, there is a ... «Quality Digest, May 15»
Significance In Presence Of Systematics, And The LHCb …
... in a known way (to be precise, the square root of -2 times that difference distributes as a chi-square distribution for one degree of freedom). «Science 2.0, Oct 12»
TCHunt, Search For TrueCrypt Volumes
The suspect file contents pass a chi-square distribution test. The suspect file must not contain a common file header. tchunt. You need to accept ... «Ghacks Technology News, Apr 11»
NFL Divisional Parity: Peyton Manning and Tom Brady Breaking The …
The Chi-Square distribution (with 31 degrees of freedom, one less than the number of teams) shows that this result is statistically significant ... «Bleacher Report, Jan 11»
A Closer Look at Sales Price Spreads
An inverse-chi-square distribution would make more sense. ... power in King County looks approximately like a chi-square distribution, then an ... «Seattle Bubble, Apr 10»
Busting the MythBusters' Yawn Experiment
For these kind of data, correlations aren't the appropriate test; they should have used a chi-square distribution test. Using TFA's assumptions ... «Slashdot, Apr 07»
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