Exam 12: Hypothesis Testing With More Than Two Means: One-Way Analysis of Variance

If the sum of squares total (SST) is 13.5 and the sum of squares within (SSW) is 6.5, what is the sum of squares between (SSB)?

A researcher calculates eta-squared as being 0.45. Which of the following is the best interpretation of this statistic?

For which dependent variables are the ANOVA test most appropriate?

Which of the following is an assumption that must be made in step 1 of the ANOVA test?

Environmental scientists gather a sample of 2016 chemical spill data from cities in six countries. This table shows information from each sample. -In order to properly conduct an ANOVA test, which of the following should be equal across the five countries?

An ANOVA test indicates that there are statistically significant differences for the means of five distinct groups. What do the results of this test fail to tell us?

A professor wants to know whether students in his large art history class differ on their exam score depending on which version of the test he gives them, a multiple-choice exam, an essay exam, or a mixed version. A random sample of 5 students is drawn from each exam type. Is there any statistically significant difference in the final exam scores? Use the five-step model and an alpha level of 0.05, and write a sentence or two of interpretation for your results.

What is the main difference between the t test and the ANOVA test?

Which of these F (observed) values would most likely be used to reject the null hypothesis in an ANOVA test using reasonably large samples and an alpha value of 0.05?

What does SSB quantify?

How is the null hypothesis for the ANOVA test generally stated?

What scenario most likely leads to rejecting the null hypothesis in an ANOVA test?

How is the test statistic for ANOVA calculated?

Suppose we are analyzing the income levels of four ethnic groups and we want to determine how much variance in income can be attributed to ethnic background. What is the statistic that will provide us the answer?

A film studies researcher calculated the number of film appearances from randomly sampled Hollywood actors, Bollywood actors, and Chinese industry actors. She calculated an F score of 1.22 after comparing the three samples. What should the researcher do about the null hypothesis?

Explain why the F test is always effectively a one-tailed test.

Suppose we have randomly sampled data from five provinces on work days missed due to illness in the past year. If the null hypothesis is true, what would be true about the data?

Suppose we want to compare the average number of chronic diseases across three long-term care homes. Below are data from random samples of residents from each long-term care home. Is there a statistically significant mean number across the three groups? Use the five-step model and an alpha of 0.01, and a write a sentence or two to interpret your results.

Environmental scientists gather a sample of 2016 chemical spill data from cities in six countries. This table shows information from each sample. -What would be the degrees of freedom (within) for an ANOVA test?

Environmental scientists gather a sample of 2016 chemical spill data from cities in six countries. This table shows information from each sample. -What would be the degrees of freedom (between) for an ANOVA test?