Assume John is conducting a one-way ANOVA with three groups. Naturally he specifies the null hypothesis...

Assume John is conducting a one-way ANOVA with three groups. Naturally he specifies the null hypothesis as Mean1=Mean2=Mean3. After learned about the t-test, he claims that the ANOVA can also be accomplished by three separate t-tests on the three pairs of means. In other words, the null hypotheses in the three t-tests would be: Mean1=Mean2; Mean2=Mean3; Mean1= Mean 3. He further argues that the t-tests are preferred since they help to identify which mean(s) is(are) significantly different from other(s) while the one-way ANOVA could not without further tests. Do you agree with John? Why or why not?

Expert Solution

orchestra answered 2 years ago

Using the data below and the 5 steps of null hypothesis testing for a one-way between-groups...

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We are conducting a one-way between groups ANOVA. We have 50 people in each condition. Each...

We are conducting a one-way between groups ANOVA. We have 50 people in each condition. Each person rates how much they like their assigned food (pizza, burger, or taco) on a scale of 1 to 5 (1 = hate this food, 5 = favorite food ever). We run a hypothesis test and find a significant statistic. What does this mean? Calculate all the appropriate HSDs for the following groups: Pizza Mean: 2.3; Burger Mean: 4.5; Taco Mean: 3.7; Standard Error...

2. Design a study where one-way ANOVA may be used with a minimum of three groups....

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A researcher conducts a one-way ANOVA comparing satisfaction scores for three groups of patients: in OSF,...

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What are the assumptions of ANOVA? In a one-way between-groups ANOVA, what degrees of freedom do...

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10. In ANOVA, if the null hypothesis is true, the Fobt value will be _____. ...

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A one-way within-subjects ANOVA was carried out on a set of data with 4 groups of...

A one-way within-subjects ANOVA was carried out on a set of data with 4 groups of 6 subjects each. The responses are presented in the following table: Subject A1 A2 A3 A4 S1 5 6 10 9 S2 6 6 11 9 S3 7 7 8 7 S4 6 8 11 8 S5 4 6 10 8 S6 6 5 7 7 Complete the ANOVA table (show the work as well) Source SS df MS F Factor A __ __...

Between groups One way ANOVA A researcher wants to see expand on the study that looks...

Between groups One way ANOVA A researcher wants to see expand on the study that looks at music’s effect on studying. She has three groups and has each group listen to different genres. All groups are studying a list of words while listening to music and then write down how many words they remember. She collects the following data: Group listening to Run The Jewels: 7, 9, 7, 5, 6, 5, 8 Group listening to Arctic Monkeys: 7, 5, 4,...

Discuss the applications of ANOVA (One-Way ANOVA, Two-Way ANOVA) and regression techniques in the context of...

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In ANOVA test, acceptance of the null hypothesis indicates that: The slope of the SLR model...

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