Question

State whether a post hoc test is necessary for each of the following results. Explain your answer for each result.

a.) F(1,18)=6.29, p<0.05

b.) F(4,55)=3.98, p<0.05

c.) F(2,33)=2.03, p>0.05

Answer 1

a.) F(1,18) = 6.29,

p-value = 0.0219

As p =0.0219 < 0.05, we reject the null hypothesis.

There is statistical difference between the mean. So, post hoc test is necessary.

b.) F(4,55) = 3.98

p-value = 0.0066

As p =0.0066 < 0.05, we reject the null hypothesis.

There is statistical difference between the mean. So, post hoc test is necessary.

c.) F(2,33) = 2.03

p-value = 0.1474

As p =0.1474 > 0.05, we fail to reject the null hypothesis.

There is no statistical difference between the mean. So, post hoc test is not necessary.