Null hypothesis for a Factorial ANOVA

Null hypothesis for a Factorial ANOVA

1. Null-hypothesis for a Factorial Analysis of Variance (ANOVA) Conceptual Explanation

2. With hypothesis testing we are setting up a null-hypothesis –

3. With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship – and

4. With hypothesis testing we are setting up a null-hypothesis – the probability that there is no effect or relationship – and then we collect evidence that leads us to either accept or reject that null hypothesis.

5. As you may recall, a Factorial ANOVA attempts to compare the influence of at least two independent variables with at least two levels each (e.g., 1. Player – Football 1 , B-Ball 2 , Soccer 3 and 2. Age – Younger 1 , Older 2 ) on a dependent variable (e.g., pizza slices consumed in one sitting).

6. Here is a template for writing a null-hypothesis for a Factorial ANOVA

7. With a Factorial ANOVA, as is the case with other more complex statistical methods, there will be more than one null hypothesis.

8. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 3 rd Null Hypothesis – The Interaction Effect There is no significant interaction effect between the [Insert the 1 st Independent variable] and the [Insert the 1 st Independent variable] in terms of the [Insert the Dependent Variable ] .

9. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 3 rd Null Hypothesis – The Interaction Effect There is no significant interaction effect between the [Insert the 1 st Independent variable] and the [Insert the 1 st Independent variable] in terms of the [Insert the Dependent Variable ] .

10. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 3 rd Null Hypothesis – The Interaction Effect There is no significant interaction effect between the [Insert the 1 st Independent variable] and the [Insert the 1 st Independent variable] in terms of the [Insert the Dependent Variable] .

11. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 2 nd Independent variable with at least two levels] . 3 rd Null Hypothesis – The Interaction Effect There is no significant interaction effect between the [Insert the 1 st Independent variable] and the [Insert the 1 st Independent variable] in terms of the [Insert the Dependent Variable] .

12. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 2 nd Independent variable with at least two levels] . 3 rd Null Hypothesis – The Interaction Effect There is no significant interaction effect between the [Insert the 1 st Independent variable] and the [Insert the 1 st Independent variable] in terms of the [Insert the Dependent Variable] .

13. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 1 st Independent variable with at least two levels] . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference on [insert the Dependent Variable] based on [Insert the 2 nd Independent variable with at least two levels] . 3 rd Null Hypothesis – The Interaction Effect There is no significant interaction effect between the [Insert the 1 st Independent variable] and the [Insert the 1 st Independent variable] in terms of the [Insert the Dependent Variable] .

14. Problem #1 A pizza café owner wants to know which high school athletes eat more pizza during their lunch break so she knows which group to advertise more to. Is it football, basketball, or soccer players? She further would like to know if there is a difference between upper (juniors and seniors) and lower (freshman and sophomores) classman.

15. 1 st Null Hypothesis – 1 st Main Effect

16. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on the number of pizza slices consumed in one sitting by football, basketball, and soccer players .

17. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on the number of pizza slices consumed in one sitting by football, basketball, and soccer players . 2 nd Null Hypothesis – 2 nd Main Effect

18. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on the number of pizza slices consumed in one sitting by football, basketball, and soccer players . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference in the number of pizza slices consumed in one sitting by upper and lower classman .

19. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on the number of pizza slices consumed in one sitting by football, basketball, and soccer players . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference in the number of pizza slices consumed in one sitting by upper and lower classman . 3 rd Null Hypothesis – Interaction Effect

20. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference on the number of pizza slices consumed in one sitting by football, basketball, and soccer players . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference in the number of pizza slices consumed in one sitting by upper and lower classman . 3 rd Null Hypothesis – Interaction Effect There is no significant interaction effect between athlete type and classman status on the number of slices consumed in one sitting .

21. Problem #2 Imagine you want to compare the effectiveness of 2 different diets (low carb vs. low fat). You also want to assess whether people lose more weight on either diet if they are already overweight vs. normal weight. It’s also possible that the effectiveness of these two specific diets depends on whether or not participants are already at a normal weight or are overweight.

22. 1 st Null Hypothesis – 1 st Main Effect

23. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference in weight loss between those on a low or high carb diet .

24. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference in weight loss between those on a low or high carb diet . 2 nd Null Hypothesis – 2 nd Main Effect

25. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference in weight loss between those on a low or high carb diet . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference in weight loss between those overweight and those not overweight.

26. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference in weight loss between those on a low or high carb diet . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference in weight loss between those overweight and those not overweight . 3 rd Null Hypothesis – Interaction Effect

27. 1 st Null Hypothesis – 1 st Main Effect There is no significant difference in weight loss between those on a low or high carb diet . 2 nd Null Hypothesis – 2 nd Main Effect There is no significant difference in weight loss between those overweight and those not overweight . 3 rd Null Hypothesis – Interaction Effect There is no significant interaction effect between diet type and weight status on weight loss .