Wilcoxon signed rank test interpretation

[laurenhosking]

How do I interoperate the bottom table for the signed rank test for the significance level 0.05?

[Ksharp · Accepted solution]

P value is > 0.05 which means you can't reject H0 : mu=0 , i.e. Software_A=Software_B 

[laurenhosking]

thank you so for the sig level of 0.01 we also do not reject Ho?

[Ksharp]

Yes. You are correct .

[PaigeMiller]

If you use the Student's t-test, which assumes the data is normally distributed, then there is a statistically significant mean difference between your two samples. However, if you are not willing to assume that your data is normally distributed, then the Wilcoxon signed rank says the mean difference between the two samples is not statistically significantly different from zero. All at significance level of 0.05.

(Or to keep all the statisticians happy, Wilcoxon's test would say you do not reject the null hypothesis)