Two-Sample Hypothesis Test for Functional Data
In this paper, we develop and study a novel testing procedure that has more a powerful ability to detect mean difference for functional data. In general, it includes two stages: first, splitting the sample into two parts and selecting principle components adaptively based on the first half-sample; t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/21/4060 |
| _version_ | 1797467406801567744 |
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| author | Jing Zhao Sanying Feng Yuping Hu |
| author_facet | Jing Zhao Sanying Feng Yuping Hu |
| author_sort | Jing Zhao |
| collection | DOAJ |
| description | In this paper, we develop and study a novel testing procedure that has more a powerful ability to detect mean difference for functional data. In general, it includes two stages: first, splitting the sample into two parts and selecting principle components adaptively based on the first half-sample; then, constructing a test statistic based on another half-sample. An extensive simulation study is presented, which shows that the proposed test works very well in comparison with several other methods in a variety of alternative settings. |
| first_indexed | 2024-03-09T18:52:13Z |
| format | Article |
| id | doaj.art-bc4ea90f9cc04011b76dba49918cb509 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T18:52:13Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-bc4ea90f9cc04011b76dba49918cb5092023-11-24T05:44:15ZengMDPI AGMathematics2227-73902022-11-011021406010.3390/math10214060Two-Sample Hypothesis Test for Functional DataJing Zhao0Sanying Feng1Yuping Hu2China National Institute of Standardization, Beijing 100191, ChinaSchool of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, ChinaIn this paper, we develop and study a novel testing procedure that has more a powerful ability to detect mean difference for functional data. In general, it includes two stages: first, splitting the sample into two parts and selecting principle components adaptively based on the first half-sample; then, constructing a test statistic based on another half-sample. An extensive simulation study is presented, which shows that the proposed test works very well in comparison with several other methods in a variety of alternative settings.https://www.mdpi.com/2227-7390/10/21/4060functional data analysismean functions comparisontwo sample testingsample splitting |
| spellingShingle | Jing Zhao Sanying Feng Yuping Hu Two-Sample Hypothesis Test for Functional Data Mathematics functional data analysis mean functions comparison two sample testing sample splitting |
| title | Two-Sample Hypothesis Test for Functional Data |
| title_full | Two-Sample Hypothesis Test for Functional Data |
| title_fullStr | Two-Sample Hypothesis Test for Functional Data |
| title_full_unstemmed | Two-Sample Hypothesis Test for Functional Data |
| title_short | Two-Sample Hypothesis Test for Functional Data |
| title_sort | two sample hypothesis test for functional data |
| topic | functional data analysis mean functions comparison two sample testing sample splitting |
| url | https://www.mdpi.com/2227-7390/10/21/4060 |
| work_keys_str_mv | AT jingzhao twosamplehypothesistestforfunctionaldata AT sanyingfeng twosamplehypothesistestforfunctionaldata AT yupinghu twosamplehypothesistestforfunctionaldata |