| dc.contributor.author | Xu, Yangshuang | |
| dc.description.abstract | In statistics, two-sample tests are commonly desired under many topics. It's crucial to differentiate populations as a prerequisite for developing further analysis. A number of statistical tests have been developed for this hypothesis testing problem. In this thesis, we propose a novel method to perform two-sample test. Specifically, we use the two samples to form a matrix and adopt the largest eigen-value as the test statistic. This test statistic followed the tracy-widom law as the limiting distribution under the null hypothesis. We evaluate the performance of the proposed method by extensive simulation study and real data application. The type I error is consistently and asymptotically controlled to nominal level. Our test manifests competitive power and prevailing calculation cost compared with several well-known two-sample test methods. The real data application also shows the advantage of the proposed method. | en_US |
| dc.publisher | North Dakota State University | en_US |
| dc.rights | NDSU policy 190.6.2 | en_US |
| dc.title | A Spectral Two Sample Test | en_US |
| dc.type | Thesis | en_US |
| dc.date.accessioned | 2022-05-16T19:57:42Z | |
| dc.date.available | 2022-05-16T19:57:42Z | |
| dc.date.issued | 2021 | |
| dc.identifier.uri | https://hdl.handle.net/10365/32365 | |
| dc.rights.uri | https://www.ndsu.edu/fileadmin/policy/190.pdf | en_US |
| ndsu.degree | Master of Science (MS) | en_US |
| ndsu.college | Science and Mathematics | en_US |
| ndsu.department | Statistics | en_US |
| ndsu.program | Statistics | en_US |
| ndsu.advisor | Yuan, Mingao | |
