Sorry, i posted it 5 min before but ignore that post. This is the correct one.
I would like to compare potato yield between two varieties. These varieties planted next to each other in the field. From each variety, 12 yield samples were harvested.
I am wondering whether I should use paired t-test or 2-sample t-test for the data analysis.
Paired t-test: The degree of freedom (df) would be n-1 (12-1).
Two sample t-test: The degree of freedom (df) would be 2n-2 (24-2).
I analyzed the data using both tests:
Paired t-test showed that the two variety were statistically similar; Probability > ItI 0.1208
Two sample t-test: Showed that the results were statistically significant; Probability > ItI 0.1208
This shows that the 2-sample t-test is statistically more powerful.
I understand that since two sample t-test has higher degree for freedom the corresponding p value would be smaller.
Can someone provide in depth insightful about these two tests and which one I should go for?