When looking at the matrix for a two-way ANOVA, which means (row, column, or cell means) do we look at to assess if there is an interaction effect? just row means just column means cell means row and column means
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When looking at the matrix for a two-way ANOVA, which means (row, column, or cell means) do we look at to assess if there is an interaction effect?
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just row means |
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just column means |
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cell means |
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row and column means |
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- What is an experiment?If investors want portfolios with small risk (variance), should they look for investments that have positive covariance, have negative covariance, or are uncorrelated? Does a portfolio formed from the mix of three investments have more risk (variance) than a portfolio formed from two?In a two-way ANOVA, why is the test for interaction done first?
- 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 weightIf 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.A researcher conducts a two-way ANOVA to determine how eating breakfast affects children's grades in school. Factor A has three levels: no breakfast, sugary breakfast, high protein breakfast. Factor B has two levels: males and females. Factor B has no main effect and there is no interaction effect. It is safe to conclude that _________. a. Factor A does not influence the participant's grades b. Factor B does not influence the participant's grades c. Factor A has an influence on the participant's grades d. Factor B has an influence on the participant's grades Clear my choice
- Think of a research scenario for which either 1-way or 2-way ANOVA would be needed to analyze the results.In two-way ANOVA, the interaction effect tests whether the effects of one Independent Variable are uniform for all groups of the second Independent Variable. Is the underlined statement True or False? True FalseWhich 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?
- Studies have shown that stress and consumption of a poor diet can impact learning and memory. I want to assess whether or not the consumption of a high-fat diet and chronic stress have significant impacts on learning and memory (as measured through the Morris Water Maze). I have 4 groups in my study: 1) Mice receiving a high-fat diet and being chronically stressed, 2) Mice receiving a high-fat diet and receiving no stress, 3) Mice receiving a control diet and being chronically stressed, and 4) Mice receiving a control diet and receiving no stress. I measure the amount of time it takes for mice to find a hidden platform (lower numbers are better). At an alpha of 0.01, test if there are significant main effects of diet and stress, if there are any interactions, and interpret any interactions appropriately. Chronic Stress No Stress High-fat Diet 50, 58, 50, 40, 41, 43 60, 55, 59, 35, 47, 50 Control Diet 25, 36, 60, 55, 31, 45 25, 10, 19, 17, 12, 15…Studies have shown that stress and consumption of a poor diet can impact learning and memory. I want to assess whether or not the consumption of a high-fat diet and chronic stress have significant impacts on learning and memory (as measured through the Morris Water Maze). I have 4 groups in my study: 1) Mice receiving a high-fat diet and being chronically stressed, 2) Mice receiving a high-fat diet and receiving no stress, 3) Mice receiving a control diet and being chronically stressed, and 4) Mice receiving a control diet and receiving no stress. I measure the amount of time it takes for mice to find a hidden platform (lower numbers are better). At an alpha of 0.01, test if there are significant main effects of diet and stress, if there are any interactions, and interpret any interactions appropriately. Chronic Stress No Stress High-fat Diet 50, 58, 50, 40, 41, 43 60, 55, 59, 35, 47, 50 Control Diet 25, 36, 60, 55, 31, 45 25, 10, 19, 17, 12, 15 How…A researcher wants to see if gender and / or income affects the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affects the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables affected total help if he rejects the null hypothesis. Below is the data set followed by the results:
