ANOVA for Multiple Groups
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Questions and Answers

What is a major limitation of using t-tests for comparing means of more than two groups?

  • It is only used for comparing two groups
  • It is only suitable for experimentally treated organisms
  • It is time-consuming and increases the risk of type 1 errors (correct)
  • It is not applicable to normally distributed data

What is the purpose of one-way ANOVA?

  • To test whether the means of two or more sets of related measurements are different from each other
  • To test whether the means of two or more sets of unrelated measurements are different from each other (correct)
  • To test whether the data within each group is normally distributed
  • To test whether the variances of the groups are equal

Which of the following assumptions is necessary for the validity of two-way ANOVA?

  • Equality of variances between groups
  • Normality of data within each group (correct)
  • Independence of observations
  • All of the above

What is an assumption of one-way ANOVA?

<p>The data within each group is normally distributed (B)</p> Signup and view all the answers

How many null hypotheses are tested in a two-way ANOVA?

<p>3 (D)</p> Signup and view all the answers

What does the F statistic represent in ANOVA?

<p>The ratio of between-group to within-group variability (B)</p> Signup and view all the answers

What is the main difference between one-way ANOVA and two-way ANOVA?

<p>The number of factors (D)</p> Signup and view all the answers

In a two-way ANOVA, what does the interaction term represent?

<p>How one factor affects the response to the other factor (C)</p> Signup and view all the answers

Which of the following is a type of ANOVA?

<p>One-way ANOVA (B)</p> Signup and view all the answers

What is the purpose of a two-way ANOVA?

<p>To determine the interaction between two factors (C)</p> Signup and view all the answers

What is the main advantage of using ANOVA instead of multiple t-tests?

<p>It reduces the risk of type 1 errors (B)</p> Signup and view all the answers

When should you reject the null hypothesis in a two-way ANOVA?

<p>When the p-value is less than 0.05 (D)</p> Signup and view all the answers

What is the main problem with the basic ANOVA test?

<p>It only tells us if there are differences between groups but does not tell which groups are different. (C)</p> Signup and view all the answers

What is the purpose of a repeated measures ANOVA?

<p>To test whether the means of two or more sets of related measurements differ. (B)</p> Signup and view all the answers

What is one of the assumptions of a repeated measures ANOVA?

<p>The data within each group is normally distributed. (C)</p> Signup and view all the answers

What type of ANOVA is used to test whether one group of experimentally treated organisms are different at several times before and after a treatment?

<p>Repeated measures ANOVA (B)</p> Signup and view all the answers

What is the main difference between a one-way ANOVA and a repeated measures ANOVA?

<p>Whether the measurements are related or not. (D)</p> Signup and view all the answers

What is the purpose of using a Dunnett's test in conjunction with a one-way ANOVA?

<p>To determine which groups are different from the control group. (C)</p> Signup and view all the answers

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