Currently I'm trying to find out if my data with n=11 follows a normal distribution to decide how I process further. To find this out I use the Shapiro-Wilk-Test which gives me p < 0.05 and thus I reject the H1. Further, I took a look on the skewness and kurtosis of my distribution.
Shapiro- Wilk-Test Skewness Kurtosis W p Statistic SE Z Statistic SE Z 0.92 0.41 0.39 0.66 0.59 -0.99 1.27 -0.78
As -1.96 < Z < 1.96 I reject the H1 for skewness as well for kurtosis.
Then, I took a look on the qqplot, too. While there are some points that deviate from the line, most of them are pretty close to it. Together with the values of the Shapiro-Wilk-Test, skewness, kurtosis and the qqplot I assumed that my distribution is close to normal. However, taking a look on a histogram of my distribution reveals a distribution that is not even approximately normal.
My question is if using the Shapiro-Wilk-Test, skewness and kurtosis values such few data is useless and if I interpreted the qqplot wrong and should rather stick to the histogram?