| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. A matched pairs t-test Reasoning: This question requires the application of statistical concepts to a real-world scenario, specifically the design of an experiment and the choice of an appropriate significance test. The correct answer, a matched pairs t-test, is appropriate because the experiment involves paired data (each volunteer tries both the old and new formulas on different sides of their face) and the response variable is a continuous measurement (the difference in the number of pimples). The other options are incorrect because: A. A two-proportion z-test is used for comparing proportions between two independent groups, which is not the case here. B. A two-sample t-test is used for comparing means between two independent groups, but the data here are paired, not independent. D. A chi-square test of independence is used for categorical data and is not appropriate for the continuous response variable in this experiment. This question requires the ability to analyze the experimental design and choose the appropriate statistical test, which is a key skill in scientific evidence evaluation. It also requires an understanding of the different types of significance tests and their applications, as well as the ability to distinguish between paired and independent data. |
C |
| deepseekr1 | C. A matched pairs t-test **Explanation:** The experiment involves paired data (each participant uses both creams on different sides of their face), and the response variable is the *difference* in outcomes (old - new) for each individual. A matched pairs t-test is designed for this scenario, as it analyzes the mean of these paired differences. Other tests like the two-sample t-test (B) assume independent groups, which does not apply here. The two-proportion z-test (A) and chi-square test (D) are for categorical data, not continuous differences. Thus, **C** is correct. |
C |
| gpto1 | C | C |
| GPT-4o | C. A matched pairs t-test | C |
| llama3.1-70B-Instruct | C |
C |
| llama3.1-405B-Instruct | C. A matched pairs t-test Reasoning: This question requires the ability to analyze the experimental design and choose the appropriate statistical test. The experiment is a double-blind randomized experiment, where each volunteer tries both the old and new formulas on different sides of their face. This is a classic example of a matched pairs design, where each volunteer serves as their own control. The response variable is the difference in the number of pimples between the two formulas, which is a continuous variable. Therefore, the appropriate test is a matched pairs t-test, which compares the mean difference between the two formulas. The other options are incorrect because: A. A two-proportion z-test is used to compare proportions between two groups, but the response variable here is continuous (number of pimples). B. A two-sample t-test is used to compare means between two independent groups, but in this case, the volunteers are not independent (each volunteer tries both formulas). D. A chi-square test of independence is used to test for association between two categorical variables, but the response variable here is continuous (number of pimples). This question requires the ability to analyze the experimental design, identify the type of data, and choose the appropriate statistical test, which are all important skills for Scientific Evidence Evaluation. |
C |
| DeepSeek-Coder-V2 | C. A matched pairs t-test | C |
| Qwen2-72B-Instruct | C. A matched pairs t-test | C |
| baichuan4 | C. A matched pairs t-test | C |
| doubao | C In this case, the same subjects are used for both the old and new formulas, with measurements taken on paired sides of the face. This is a situation where a matched pairs t-test is appropriate as it accounts for the paired nature of the data. |
C |
| minimax | C. A matched pairs t-test | C |
| kimi | C. A matched pairs t-test | C |
| wenxinyiyan | C | C |
| zhipu | C. A matched pairs t-test Explanation: In this scenario, the same volunteers are using both the old and new formulas, making it a paired (or matched pairs) design. The response variable is the difference in the number of pimples between the two treatments for each volunteer. A matched pairs t-test is appropriate for comparing the means of these paired differences to determine if there is a significant difference between the two treatments. |
C |
| gpto1 | C | C |
| deepseekv3 | The correct significance test to perform is **C. A matched pairs t-test**. **Explanation:** - The experiment involves comparing the effectiveness of two treatments (old formula vs. new formula) on the same individuals (volunteers with acne). Each participant has two measurements: the number of pimples on one side of their face (old formula) and the number of pimples on the other side (new formula). - The response variable is the difference in the number of pimples (old formula - new formula) for each individual. - A matched pairs t-test is appropriate for analyzing paired data where the same individuals are subjected to two different treatments, and the differences between the paired measurements are analyzed. - The other options (two-proportion z-test, two-sample t-test, and chi-square test of independence) are not suitable for this experimental design because they do not account for the paired nature of the data. |
C |