How many independent variables does a 3 X 4 Factorial ANOVA

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?

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

Solution

In 3 X 4 Factorial ANOVA, number of independent variables is 2.

In 3 X 4 Factorial ANOVA, number of levels of first indepedent variable is 3 and number of levels of second indepedent variables is 4.

Omnibus test are the test that are conducted whether the explained variance in a set of data is significantly greater than the unexplained variance. In ANOVA p-value will be found for F-ratio (ratio of expalined variance and unexpalined variance). And if p-value is less than given level of significance then we rejec the null hypothesis, that all the population means are equal. and if p-value is greater than given level of significance then we fail to reject the null hyothesis.