# Analysis of Variance and Comparing with Repeated Measures Design

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We considered Mary's interest in doing a study to see if learning of 6th graders on a math lesson is affected by background noise level. There, she was planning to use 2 noise conditions and then analyze her outcomes using a t-test for independent groups. Describe the study Mary might plan where she would use a one-way analysis of variance (ANOVA) for independent groups instead of a t-test to study differences between noise levels. What is her independent variable here? Describe the conditions she could create for this study. What is her dependent variable? Describe a way to measure the DV so that each participant would have one score at the end that would be on a continuous scale of measurement. Support your responses.

Consider Mary's study of whether the learning of 6th graders on a math lesson is affected by background noise level. Describe the pros and cons of Mary using a repeated measures design for this study. What would you probably choose to do? Support your responses.

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The solution gives detailed discussion on applying one-way analysis of variance using a real example and comparing it with repeated measures design. 286 words.

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What is her independent variable here? Describe the conditions she could create for this study.

Answer: here, the independent variable is the background noise level.

We know that one-way ANOVA requires only one independent variable which has at least 3 levels.

Since Mary wants to use a one-way analysis of variance (ANOVA), she must consider at least 3 levels of background noise level. For example, she may ...

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