a conceptual question appear in my mind and i need help, in pratical therms, whats defines the statistical test its my hypothesis and my experimental design ?
Using this example, if i am interrested in analyse the effects of gender and age over scores, i need to collect the data for scores, gender and age all for the same sample from a population, and at this case use of Two-way ANOVA its appropriate, correct ?
Data example 1:
But, what happen if i have the same hypothesis and collect two individual samples, 12 people for age and 12 for gender ? In this case, i need to use One-way ANOVA for the first case and t-test for the second? In this analysis i am creating bias because of a poor design in comparison with the Two-way ANOVA case ?, even if i had a superior N ?
Data example 2: