If the results from a two-factor ANOVA show a significant main effect for both factors, what can you conclude about the interaction between the two factors? a. There must be a significant interaction. b. There probably is a significant interaction. c. The interaction cannot be significant. d. You cannot make any conclusion about the significance of the interaction.
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- If the results of a two-factor ANOVA show no main effect for factor A but show a significant interaction, then the results indicate that factor A has no effect on the subjects' scores. True or FalseIn a two-way ANOVA, why is the test for interaction done first?Suppose, when conducting a 2-way ANOVA, you find significant main effects for both of your factors of interest (i.e. gender and educational attainment, categorized as high school graduate or less vs. more than a high school education), but no significant interaction between the 2 factors. Which of the following statements, if any, are reasonable conclusions? Question 22 options: A) Since there is no significant interaction between gender and educational attainment, we can conclude that the outcome does not differ between groups. B) Since there is a significant main effect for gender, then the outcome must be significantly different between males and females. C) Since there is a significant main effect for educational attainment, then the outcome must be significantly different between the 2 educational attainment groups. D) All of the above are reasonable conclusions. E) Answers B and C are reasonable…
- A researcher conducts an independent-measures, two factor study with two levels of factor A and two levels of factor B, using a sample of n = 8 participants in each treatment condition. a. What are the df values for the F-ratio evaluating the main effect of factor A? b. What are the df values for the F-ratio evaluating the main effect of factor B? c. What are the df values for the F-ratio evaluating the interaction?In ANOVA, what will be the conclusion when the means of the between groups vary from within groups? a.Accept the null hypothesis b.Reject the null hypothesis c.Conduct main effects d.Conduct interaction effectsWhat does a non-statistical evaluation of the graphs of data for the two-factor experiment suggests?
- When an interaction term is statistically significant, you must be cautious in interpreting the main effects. True or False?A psychologist conducts a 2 x 3 x 2 ANOVA. How many main effects are possible? How many interactions are possible?Two years ago the manager of a local supermarket that sells three national brands (brands A, B, and C) and one store brand (brand D) of orange juice found that brands A and C were equally preferred, 33% preferred brand B, and 27% preferred the store brand, D. Now, the manager thinks that there has been a change in customer preferences and that the preference for store-brand orange juice has increased and perhaps will positively contribute to increased profits. The results from a recent random sample of shoppers indicate the following preferences.Favorite brand A B C D (store brand)Number 56 70 28 126Has there been a change in customer preferences from the study 2 years ago?
- A researcher is examining the effects of weight status and hunger on eating behavior. In this 2 X 2 factor study, participants (obese vs. normal weight) are randomly assigned to participate in one of two hunger status conditions (full stomach vs. empty stomach). Then during the study, participants are presented with crackers to eat. The researcher is looking to see if weight status, hunger status and an interaction between the two influence eating behavior. Considering this data, what would be the statistical and null hypothesis for the main effect for weight status? Select one: a. H1: μobese = μnormal weight Ho: μobese ≠ μnormal weight b. H1: μfull stomach ≠ μempty stomach Ho: μfull stomach = μempty stomach c. H1: μfull stomach = μempty stomach, Ho: μfull stomach ≠ μempty stomach d. H1: μobese ≠ μnormal weight Ho: μobese = μnormal weightThink of a research scenario for which either 1-way or 2-way ANOVA would be needed to analyze the results.Which of the independent variables retains the strongest association with the number of children a respondent has when all other variables in the model are controlled? What is that association? Which has the weakest when other variables are controlled?