If a probability distribution has, say, 112 bins with around 29000 samples, with the maximum probability of a bin being less than 0.05, is the Jarque-Bera test an effective measure of conformance to a Normal distribution?
I'm working with univariate data, whose probability distribution 'looks' normal, with some deviation. However, the Jarque-Bera test for normality indicates that it is not normal.
Also, since n ~ 29000, the JB statistic is inflated to a ridiculous value like 1474523. Am I doing something wrong? Any help would be most welcome.
The Jarque Bera statistics and a histogram for these data are:
n = 28535.0 Skewness = -4.24685767755943 Kurtosis = 37.1765663807246 JB statistic = 1474523.40413686