| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. Zero skewness and a kurtosis of three. The Bera-Jarque test is a statistical test used to determine if a dataset is normally distributed. The null hypothesis of the test is that the data is normally distributed, which implies that the skewness is zero and the kurtosis is three. Skewness measures the asymmetry of the distribution, and a value of zero indicates that the distribution is symmetric. Kurtosis measures the "tailedness" of the distribution, and a value of three indicates that the distribution has the same tail shape as a normal distribution. Therefore, the correct answer is B. Zero skewness and a kurtosis of three. |
B |
| deepseekr1 | B. Zero skewness and a kurtosis of three The Bera-Jarque test evaluates whether a dataset follows a normal distribution. Under the null hypothesis, the data is normally distributed, which requires **zero skewness** (symmetric distribution) and a **kurtosis of three** (mesokurtic, matching the normal distribution). While "excess kurtosis" (kurtosis minus 3) is often referenced in the test statistic, the actual kurtosis value under normality is 3. Thus, the correct answer is **B**. Answer: B |
B |
| gpto1 | B | B |
| GPT-4o | B | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. Zero skewness and a kurtosis of three |
B |
| DeepSeek-Coder-V2 | A | B |
| Qwen2-72B-Instruct | B. Zero skewness and a kurtosis of three | B |
| baichuan4 | B | B |
| doubao | B The Bera-Jarque test assumes a normal distribution under the null hypothesis, and a normal distribution has zero skewness and a kurtosis of 3. |
B |
| minimax | B. Zero skewness and a kurtosis of three | B |
| kimi | B. Zero skewness and a kurtosis of three | B |
| wenxinyiyan | B. Zero skewness and a kurtosis of three The Bera-Jarque test is used to check whether sample data have the skewness and kurtosis matching a normal distribution. The null hypothesis of the Bera-Jarque test assumes that the data come from a normal distribution, which has zero skewness (i.e., it is symmetrical) and a kurtosis of three (i.e., it has the "normal" peakedness or flatness). |
B |
| zhipu | B. Zero skewness and a kurtosis of three The Bera-Jarque test is used to test for normality of a dataset. Under the null hypothesis, the data is assumed to be normally distributed. A normal distribution has zero skewness and a kurtosis of three. Therefore, the correct answer is B. |
B |
| gpto1 | B | B |