What does it mean to say that the pvalue associated with an

What does it mean to say that the p-value associated with an ANOVA or Factorial ANOVA is omnibus?

What are post hoc tests?

Why are post hoc tests necessary instead of just multiple t-tests?

How many independent variables does a 3 X 4 Factorial ANOVA have?

How many levels does each variable in a 3 X 4 Factorial ANOVA have?

Solution

In anova we generally test for the equality of mean effects of the factors over the outcomes. We perform this test using F distn and SSE (Sum of Squares of error).. A large p-value indicates that the hypothesis is true i.e. the effects of the factors are not simmilar.

Post hoc tests are one on one t-tests for comparing means of two diff effects for all such effects.instead of just multiple t tests indivudual post hoc tests allows us to identify the non matching level effects of the two factors,.

in a 3*4 facrial anova.there are 2 independent variables. variable 1 at 3 levels and variable 2 at 4 levels