I am trying to determine if my data is normal. I am using R.
I run the jarque bera test that has a NULL hypothesis of Normality
jarque.bera.test(dat) Jarque Bera Test data: dat X-squared = 4.6747, df = 2, p-value = 0.09658
since the pvalue is > .05 I cannot reject he null so the data IS normal
I also run the shapiro wilk test with a null of NORMALITY
shapiro.test(dat) #Ho is normal Shapiro-Wilk normality test data: dat W = 0.9149, p-value = 0.001375
so I reject the Null and the data is not NORMAL
THEN when I look at a QQnorm I see
and that does not look normal.
So 2 of 3 tests say the data is not normal is that enough to say it is not normal? What do you think?