3. Five steps of ANOVA

Suppose you are interested in how a person's marital status is related to his or her leisure activities. You randomly sample 21 adults and determine the number of hours each person spends per day watching TV or using the Internet for nonwork activities. The data are shown in the following table:

Single: 3 2 3 3 4 2 4

Married: 4 3 5 6 3 4 3

Divorced: 2 5 8 3 4 2 3

Conduct an ANOVA test for these data using the five-step computational process.

Step 1. Making Assumptions and Meeting Test Requirements

Complete the following statements about the general assumptions required for ANOVA.

___ CHOICES ARE:INDEPENDENT, ISOLATED, STRATIFIED, DEPENDENT, ____ CHOICES ARE: EXCLUSIVE, RANDOM, STATISTICAL, COMPLETE samples. Level of measurement is____ CHOICES ARE INTERVAL-RATIO, CATEGORICAL, NUMERIC, ORDINAL.

Populations are___ CHOICES ARE: UNIFORMLY, EXPONENTIALLY, NORMALLY, RANDOMLYdistributed. Population variances are __CHOICES ARE: EQUAL, INDEPENDENT, UNKNOWN, SMALL.

As the designer of this research project, it is your responsibility to ensure that each of these conditions is met before you perform your analysis. You should notassumethese conditions are met; rather, you should verify them as part of your research.

Step 2. Stating the Null Hypothesis

For each population category (single, married, or divorced), let?ibe the mean number of hours spent watching TV or using the Internet. The null hypothesis for your ANOVA would be as follows:

H0:____ CHOICES ARE: SCREENSHOT CAPTURE 2 .

Step 2. Stating the Null Hypothesis For each population category (single, married, or divorced), let p, be the mean number of hours spent watching TV or using the Internet. The null hypothesis for your ANOVA would be as follows: H0: V . At least one u,- is different In t translation is correct? m