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Both Jarque-Bera and Adjusted Jarque-Bera are for the univariate normality test. Most often researchers face the challenge of more than one variable which requires test of normality.
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The idea is for two or more variables to be significantly related, there must be similarity in their gradients. Then, if lines produced by the observations are parallel, multicollinearity can be...
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If a set of data is simulated from non-normal distribution and some selected tests confirm that, the p-values seem not to be the same, sometimes varying significantly.
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