Suppose we wished to compare 5 group means. We could perform an ANOVA, or we could perform several two-sample t tests. If we were to do the latter, how many different t tests would we have to perform?
Here, Comaprison of more than 2 groups i.e 5 groups.
We could perform Anaysis of Variance (ANOVA).
We have to perform 5 t tests in ANOVA
Suppose we wished to compare 5 group means. We could perform an ANOVA, or we could...
You wish to compare the population means between three categories. Compare and contrast using ANOVA vs. three separate t-tests. In what ways are ANOVA and three separate t-tests the same? In what ways are ANOVA and three separate t-tests different?
Consider a situation where we want to compare means, M1 and 42 of two populations, Group 1 and Group 2, respectively. A random sample of 40 observations was selected from each of the two populations. The following table shows the two-sample t test results at a = 5% assuming equal population variances: t-Test: Two-Sample Assuming Equal Variances Group 2 28652 33.460 40 Mean Variance Observations Pooled Variance Hypothesized Mean Difference d t Stat PTcut) one-tail Critical one-tail PTC-t) two-tail Critical...
One-way ANOVA test and t-tests compare means. Which of the following should you consider to select the One-way ANOVA over multiple t-tests when you have more than two groups? A. Multiple t-Tests will increase the likelihood of a Type I Error. B. Multiple t-Tests will decrease the likelihood of saying something is significant when it is not. C. Multiple t-Tests will increase the likelihood of more accurate t-values. D. Multiple t-tests allow to run more tests and the more tests...
Suppose that a One-way ANOVA is being performed to compare the means of 4 populations and that the sample sizes are 14, 16, 19, and 13. Determine the degrees of freedom for the F-statistic. (a) the degree of freedom of the numerator _______________________ (b) the degree of freedom of the denominator______________________
Homework8 Name and types DUE: April ANOVA theory 17, 2019 1) Why can we not do a series of t-tests when comparing more than two groups? 2) For an ANOVA, in English, what is the null hypothesis? The alternative? What would it mean to reject the null? How is this different than when we reject the null in a t test? 3) If I told you I ran a three-way MANCOVA, what could you tell me about my design and...
Although t-tests can also be used to compare means, they are limited to comparing two at a time. Using multiple t-tests to compare experimental error, ultimately hindering the results. ANOVA provides a way to simultaneously compare multiple means, without the elevated experimental error. more than two means from the same set of data is possible, but it creates an increased risk of Comparing Multiple Groups For this discussion, begin by creating an example of a research situation that would involve...
Question 17 9 pts Consider a situation where we want to compare means, Mi and M2 of two populations, Group 1 and Group 2, respectively. A random sample of 40 observations was selected from each of the two populations. The following table shows the two-sample t test results at a = 5% assuming equal population variances: t-Test: Two-Sample Assuming Equal Variances Group 2 28.652 33.460 40 Mean Variance Observations Pooled Variance Hypothesized Mean Difference df t Stat P(T<=t) one-tail t...
The two sample t-test is useful because it compares the means between two groups, whereas ANOVA compares the means across multiple groups (e.g., Republicans, Democrats, and Independents). Does the utility of ANOVA decline as we begin to compare more and more groups?
An epidemiologist wished to compare two rabies vaccines. Subjects who had previously received rabies vaccine were divided in two groups. Group 1 received a booster does of type 1 vaccine, and Group 2 received a booster dose of type 2 vaccine. Antibody responses were recorded two weeks later. The means, standard deviations, and sample sizes for the two groups were as follows: Group n (mean) x s 1 10 4.5 2.5 2 9 2.5 2.0 The data come...
Which of the following is the best reason why one-way ANOVA should be used instead of running several t-tests when there are more than two experimental groups? A. Doing several t-tests means you might forget which variables you have compared B. t-tests and ANOVA require different levels of measurement for their dependent variable C. Performing several t-tests raises the probability of making at least one Type I error D. Performing several t-tests raises the probability of making at least one...