ANOVA for Multiple Groups

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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?

The data within each group is normally distributed Signup and view all the answers

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

3 Signup and view all the answers

What does the F statistic represent in ANOVA?

The ratio of between-group to within-group variability Signup and view all the answers

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

The number of factors Signup and view all the answers

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

How one factor affects the response to the other factor Signup and view all the answers

Which of the following is a type of ANOVA?

One-way ANOVA Signup and view all the answers

What is the purpose of a two-way ANOVA?

To determine the interaction between two factors Signup and view all the answers

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

It reduces the risk of type 1 errors Signup and view all the answers

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

When the p-value is less than 0.05 Signup and view all the answers

What is the main problem with the basic ANOVA test?

It only tells us if there are differences between groups but does not tell which groups are different. Signup and view all the answers

What is the purpose of a repeated measures ANOVA?

To test whether the means of two or more sets of related measurements differ. Signup and view all the answers

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

The data within each group is normally distributed. 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?

Repeated measures ANOVA Signup and view all the answers

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

Whether the measurements are related or not. Signup and view all the answers

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

To determine which groups are different from the control group. Signup and view all the answers