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Analysis of Variance (ANOVA) in Educational and Social Research: Hypotheses, Assumptions, and Calculations

Application of ANOVA in educational and social research.

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    Analysis of Variance (ANOVA) in Educational and Social Research: Hypotheses, Assumptions, and Calculations 1. A one - way analysis of variance will be done to compare systolic blood pressures in three different age groups. What is the correct statement of the null hypothesis? A) μ 1 = μ 2 = μ 3 B) μ 1 ≠ μ 2 ≠ μ 3 C) x - bar 1 = x - bar 2 = x - bar 3 D) x - bar 1 ≠ x - bar 2 ≠ x - bar 3 Feedback: The null hypothesis for an ANOVA test is that all population means are equal. Points Earned: 1.0/1.0 2. A student wanted to test whether there was a difference in the mean daily hours of study for students living in four different dormitories. She selected a random sample of 50 students from each of the four dormitories. What is the null hypothesis for this situation? A) The mean daily hours of study is 3 hours for each dormitory. B) The mean daily hours of study is the same for each dormitory. C) The mean daily hours of study is different for each of the 200 students in the sample. D) The mean daily hours of study is not the same for all four dormitories. Feedback: ANOVA tests a null hypothesis that the means (average) are equal. Points Earned: 1.0/1.0 3. Which of the following is not one of the assumptions made in the analysis of variance? A) Each sample is an independent random sample. B) The distribution of the response variable is a normal curve within each population. C) The different populations all have the same mean. D) The different populations all have the same population variances. Feedback: The different populations have the same mean is the null hypothesis and not an assumption. Points Earned: 1.0/1.0 4.

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