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Decomposing ChiSquare: A Forgotten Technique
 Sociological Methods & Research
, 1979
"... According to the statistical properties of the chisquare distribution, a variable which is distributed according to the chisquare distribution with p degrees of freedom can be written as the sum ofp chisquare variables, each with one degree of freedom. This means that a contingency table which gi ..."
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Cited by 2 (0 self)
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According to the statistical properties of the chisquare distribution, a variable which is distributed according to the chisquare distribution with p degrees of freedom can be written as the sum ofp chisquare variables, each with one degree of freedom. This means that a contingency table which
ChiSquare Tests for Comparison Weighted Histograms
, 905
"... Weighted histograms in MonteCarlo simulations are often used for the estimation of probability density functions. They are obtained as a result of random experiment with random events that have weights. In this paper the bin contents of a weighted histogram are considered as a sum of random variabl ..."
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variables with a random number of terms. Generalizations of the classical chisquare test for comparing weighted histograms are proposed. Numerical examples illustrate an application of the tests for the histograms with different statistics of events and different weighted functions. Proposed tests can
Pvalues for highdimensional regression
, 2009
"... Assigning significance in highdimensional regression is challenging. Most computationally efficient selection algorithms cannot guard against inclusion of noise variables. Asymptotically valid pvalues are not available. An exception is a recent proposal by Wasserman and Roeder (2008) which splits ..."
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Cited by 38 (2 self)
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Assigning significance in highdimensional regression is challenging. Most computationally efficient selection algorithms cannot guard against inclusion of noise variables. Asymptotically valid pvalues are not available. An exception is a recent proposal by Wasserman and Roeder (2008) which splits
A Numerical Procedure for Computing ChiSquare Percentage Points
"... In this work, a simpler algorithm for computing probability values of a Chisquare (χ2) random variable X is provided. This algorithm accurately provides comprehensive χ2 probability values for all the range of X at specified degrees of freedom without further need to extrapolate before some desired ..."
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In this work, a simpler algorithm for computing probability values of a Chisquare (χ2) random variable X is provided. This algorithm accurately provides comprehensive χ2 probability values for all the range of X at specified degrees of freedom without further need to extrapolate before some
On Some Procedures Based on Fisher’s Inverse ChiSquare Statistic
, 2013
"... Copyright © 2013 Kepher H. Makambi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We present approximations to the distribution of ..."
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of the weighted combination of independent and dependent values,P 1 2 log.m ii iA P In case that independence of ’s is not assumed, it is argued that the quantity iP A is implicitly dominated by positive definite quadratic forms that induce a chisquare distribution. This gives way to the approximation
COMBINING pVALUES: A DEFINITIVE PROCESS
"... summary In the Bayes approach the modeldata summary is arguably the observed likelihood function; in the frequentist approach it is arguably a pvalue function assessing a least squares or maximumlikelihood departure; and in the higherorder likelihood approach it is the observed likelihood togethe ..."
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the appropriate higher order combining procedure. For the pvalue summary, Fisher (1973) proposed a quick and easy method for combining pvalues from independent investigations: multiply them together and use chisquare tables.
Monográfico: Métodos Bayesianos en las Ciencias THE POSTERIOR PREDICTIVE PVALUE: AN ALTERNATIVE TO THE CLASSICAL PVALUE
"... In this paper, the posterior predictive pvalue is analyzed from different viewpoints as an alternative to the classical pvalue. First, this concept is introduced and compared to related concepts. Then, some results concerning its asymptotic behaviour are given. Finally, the behaviour of the pos ..."
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In this paper, the posterior predictive pvalue is analyzed from different viewpoints as an alternative to the classical pvalue. First, this concept is introduced and compared to related concepts. Then, some results concerning its asymptotic behaviour are given. Finally, the be
Calculating exact pvalues for the Transmission/Disequilibirum Test.
, 2003
"... The transmission/disequilibrium test (TDT) has become a popular method for analyzing genetic association studies. It is usually assumed that pvalues for the test can be calculated using the asymptotic, chisquared distribution. A formula for the exact pvalue is derived and shown to yield quite dif ..."
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The transmission/disequilibrium test (TDT) has become a popular method for analyzing genetic association studies. It is usually assumed that pvalues for the test can be calculated using the asymptotic, chisquared distribution. A formula for the exact pvalue is derived and shown to yield quite
Combining pvalues: a likelihood perspective
"... Fisher (1948) proposed a quick and easy method for combining pvalues from independent investigations: multiply them together and use chisquare tables. The proposal received criticism that it did not address power and other conventional criteria, but he had clearly assumed that the related backgrou ..."
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Fisher (1948) proposed a quick and easy method for combining pvalues from independent investigations: multiply them together and use chisquare tables. The proposal received criticism that it did not address power and other conventional criteria, but he had clearly assumed that the related
Fuzzy Pvalues and Ties in Nonparametric Tests
, 2005
"... This article introduces the use of fuzzy Pvalues and confidence intervals (Geyer and Meeden, 2005) with classical nonparametric tests, specifically with the sign test and the onesample and twosample Wilcoxon tests. The method presented can be applied to any test and provides simple exact fuzzy te ..."
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This article introduces the use of fuzzy Pvalues and confidence intervals (Geyer and Meeden, 2005) with classical nonparametric tests, specifically with the sign test and the onesample and twosample Wilcoxon tests. The method presented can be applied to any test and provides simple exact fuzzy
Results 11  20
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2,498