Asked by Vanessa Rodriguez on Jul 22, 2024
Verified
In a factorial ANOVA,the null hypothesis for the interaction might look like ______.
A) H0: µupper × new = µupper × returning = µmiddle × new = µmiddle × returning
B) H0: µupper × new ≠ µupper × returning ≠ µmiddle × new ≠ µmiddle × returning
C) H1: upper × new = upper × returning = middle × new = middle × returning
D) H1: upper × new ≠ upper × returning ≠ middle × new ≠ middle × returning
Null Hypothesis
The default hypothesis that there is no significant difference or relationship between specified populations, any observed effect is due to sampling or experimental error.
Interaction
In the context of statistics and experimental design, interaction refers to a situation where the effect of one independent variable on the dependent variable varies according to the level of another independent variable.
Factorial ANOVA
A statistical test used to examine the effects of two or more independent variables on a dependent variable simultaneously.
- Comprehend the process of generating hypotheses for primary and interaction effects within factorial ANOVA.
Verified Answer
DD
DOMINIC DUKERJul 23, 2024
Final Answer :
A
Explanation :
The null hypothesis in a factorial ANOVA typically states that there is no interaction between factors, meaning the effect of one factor is consistent at all levels of the other factor. This is represented by stating that the product (or interaction) terms are equal, which matches choice A's structure.
Learning Objectives
- Comprehend the process of generating hypotheses for primary and interaction effects within factorial ANOVA.