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A Class of Selection Procedures Based on Ranks
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lehmann, Erich L. |
| Copyright Year | 1963 |
| Abstract | Let Xij (j = 1,. n; i = 1,. s) be independent samples from populations with cumulative distribution functions F(ϰ — Θi). For selecting the population with the highest Θ-value, procedures based on the ranks of the observations are compared with the means procedure which selects the population with the largest mean Xi. The asymptotic relative efficiency of two selection procedures is defined as the ratio of the sample sizes required to achieve the same minimum probability of selecting a “good” population. It is shown that the asymptotic relative efficiency of the procedures based on ranks relative to the means procedure is the same as that of the associated tests in the two — or c-sample problem. If the ratio of the sample sizes is equal to this efficiency, the two procedures being compared are shown to have the same asymptotic performance characteristic. |
| Starting Page | 429 |
| Ending Page | 436 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/978-1-4614-1412-4_37 |
| Volume Number | 150 |
| Alternate Webpage(s) | https://rd.springer.com/content/pdf/10.1007%2F978-1-4614-1412-4_37.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/978-1-4614-1412-4_37 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
