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| 描述性统计× | 柯尔莫哥洛夫-斯米尔诺夫检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1977 | 1933 |
| 提出者≠ | John W. Tukey | Andrey Nikolaevich Kolmogorov; Nikolai Vasilyevich Smirnov |
| 类型≠ | Summary procedure | Nonparametric goodness-of-fit test |
| 开创性文献≠ | Tukey, J.W. (1977). Exploratory Data Analysis. Addison-Wesley. ISBN: 978-0201076165 | Kolmogorov, A. N. (1933). Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Istituto Italiano degli Attuari, 4, 83–91. link ↗ |
| 别名≠ | summary statistics, exploratory data summary, Betimsel İstatistik | KS test, K-S test, one-sample KS test, Kolmogorov-Smirnov Testi |
| 相关≠ | 6 | 2 |
| 摘要≠ | Descriptive statistics is a set of procedures that numerically and visually summarises the essential characteristics of a dataset: central tendency (mean, median, mode), spread (standard deviation, interquartile range), shape (skewness, kurtosis), and frequency distributions. Systematised for applied data analysis by John W. Tukey in his 1977 work on Exploratory Data Analysis, descriptive statistics serves as the indispensable first step before any inferential or modelling procedure. | The Kolmogorov-Smirnov (KS) test is a nonparametric goodness-of-fit test that assesses whether a sample comes from a specified theoretical distribution, such as the normal or exponential. First formalised by Andrey Kolmogorov in 1933 and further developed by Nikolai Smirnov in 1948, it compares the empirical cumulative distribution function of the observed data against a target theoretical CDF and quantifies their maximum absolute deviation. |
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