Suppose you are interested in studying whether two dependent variables are statistically significantly different

for multiple groups formed by one or more categorical variables. What is an important consideration when running consecutive one-way ANOVAs?

If the dependent variables are statistically independent, then running multiple one-way ANOVAs results in bias.

If the independent variables are statistically dependent, then running multiple one-way ANOVAs results in bias.

If the independent variables are statistically independent, then running multiple one-way ANOVAs results in bias.

If the dependent variables are statistically dependent, then the researcher runs the risk of increasing the probability of a Type 1 error.