Read the following scenario and determine which test is the most appropriate.
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![### Scenario for Statistical Test Selection
**Read the following scenario and determine which test is the most appropriate.**
To test whether Internet use increases depression score, we measure the depression scores of a random sample of non-Internet-users, have them use the Internet for a specified time, then measure their depression scores again.
#### Available Options:
1. **Inference for regression**
2. **ANOVA**
3. **Two-Sample t-test**
4. **Matched-Pairs t-test**
5. **Chi-Squared test for independence**
**Explanation:**
In this scenario, the researchers aim to compare the depression scores of the same group of individuals at two different points in time: before and after using the Internet. The most appropriate statistical test here would be the **Matched-Pairs t-test** since it is designed to compare two means from the same group under different conditions.
---
**Key Points:**
- **Inference for regression:** Typically used for predicting the value of a dependent variable based on the value of one or more independent variables.
- **ANOVA (Analysis of Variance):** Used to compare the means of three or more groups.
- **Two-Sample t-test:** Used to compare the means of two independent groups.
- **Matched-Pairs t-test:** Used to compare the means of the same group at two different times or under two different conditions.
- **Chi-Squared test for independence:** Used to determine if there is a significant association between two categorical variables.
**Conclusion:** For the scenario described, the **Matched-Pairs t-test** is the most appropriate test to determine if Internet use increases depression scores.
---
This type of scenario and question might be found in educational resources for statistics or research methodology courses, helping students understand how to select the appropriate statistical test based on the experimental design.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa218d9b0-33cd-49fb-8966-615774819802%2F9f7e8a17-9f94-4ece-acec-8014cfc719d2%2Fr0lwdp_processed.png&w=3840&q=75)
Transcribed Image Text:### Scenario for Statistical Test Selection
**Read the following scenario and determine which test is the most appropriate.**
To test whether Internet use increases depression score, we measure the depression scores of a random sample of non-Internet-users, have them use the Internet for a specified time, then measure their depression scores again.
#### Available Options:
1. **Inference for regression**
2. **ANOVA**
3. **Two-Sample t-test**
4. **Matched-Pairs t-test**
5. **Chi-Squared test for independence**
**Explanation:**
In this scenario, the researchers aim to compare the depression scores of the same group of individuals at two different points in time: before and after using the Internet. The most appropriate statistical test here would be the **Matched-Pairs t-test** since it is designed to compare two means from the same group under different conditions.
---
**Key Points:**
- **Inference for regression:** Typically used for predicting the value of a dependent variable based on the value of one or more independent variables.
- **ANOVA (Analysis of Variance):** Used to compare the means of three or more groups.
- **Two-Sample t-test:** Used to compare the means of two independent groups.
- **Matched-Pairs t-test:** Used to compare the means of the same group at two different times or under two different conditions.
- **Chi-Squared test for independence:** Used to determine if there is a significant association between two categorical variables.
**Conclusion:** For the scenario described, the **Matched-Pairs t-test** is the most appropriate test to determine if Internet use increases depression scores.
---
This type of scenario and question might be found in educational resources for statistics or research methodology courses, helping students understand how to select the appropriate statistical test based on the experimental design.
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