Wuertz, Diethelm and Katzgraber, Helmut (2009): Precise finite-sample quantiles of the Jarque-Bera adjusted Lagrange multiplier test.
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It is well known that the finite-sample null distribution of the Jarque-Bera Lagrange Multiplier (LM) test for normality and its adjusted version (ALM) introduced by Urzua differ considerably from their asymptotic \chi^2(2) limit. Here, we present results from Monte Carlo simulations using 10^7 replications which yield very precise numbers for the LM and ALM statistic over a wide range of critical values and sample sizes. Depending on the sample size and values of the statistic we get p values which signicantly deviate from numbers previously published and used in hypothesis tests in many statistical software packages. The p values listed in this short Letter enable for the first time a precise implementation of the Jarque-Bera LM and ALM tests for finite samples.
|Item Type:||MPRA Paper|
|Original Title:||Precise finite-sample quantiles of the Jarque-Bera adjusted Lagrange multiplier test|
|Keywords:||Jarque-Bera; Lagrange Multiplier|
|Subjects:||C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General|
|Depositing User:||Diethelm Wuertz|
|Date Deposited:||11. Dec 2009 09:23|
|Last Modified:||12. Feb 2013 16:41|
Bowman K., Shenton L., Omnibus test contours for departures from normality based on b1 and b2, Biometrika 62, 1975, 243-250.
Deb P., Sefton M., The distribution of a Lagrange multiplier test of normality, Economics Letters 51, 1996, 123-130.
Edgeworth F.Y., On the mathematical representation of statistical data, Journal of the Royal Statistical Society 80, , 1917, 411-437.
Jarque C.M, Bera A.K., Efficient tests for normality, homoscedasticity and serial independence of regres- sion residuals, Economics Letters 6, 1980, 255-259.
Jarque C.M, Bera A.K., A test for normality of observations and regression residuals, International Statistical Review 55, 1987, 163-172.
Lawford S., Finite-sample quantiles of the Jarque-Bera test, Brunel University Preprint, 2004, 7 pages. R Core Team, R Manuals, downloadable from: http://cran.r-project.org.
Rmetrics, Teaching Financial Engineering and Computational Finance with R, http://www.rmetrics.org.
Rothenberg T.J., Approximating the distributions of econometric estimators and test statistics, Handbook of Econometrics, Volume II, 1984, 881-935.
Urzua M., On the correct use of omnibus tests for normality, Economics Letters 53, 1996, 247-251.