Question

when conducting a two-way ANOVA, what are the main effect and interaction effect, and is it possible to have a significant main effect that is really caused by a large interaction effect and if so what are the reasonings?

Answer 1

ANSWER:

When conducting a two-way ANOVA:

We have to obtained the main effect and interaction effect is the ,

Here,

• In measurements, a primary impact is the impact of only one of the autonomous factors on the needy variable. ... ANOVA is a factual test that is utilized to decide whether there are contrasts between gatherings when there are in excess of two treatment gatherings.

Yes, it is possible that significant main effect that is really caused by a large interaction effect .

• Decide if the main effects and interaction impact are measurably huge. ... A significance level of 0.05 shows a 5% danger of inferring that an impact exists when there is no genuine impact. The invalid theory for a primary impact is that the reaction mean for all factor levels are equivalent.