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To study the relationship between A\u03b2 deposition and brain structure, as determined using 11C-Pittsburgh compound B (PiB) and magnetic resonance imaging (MRI), respectively, we developed a regression model with PiB and MRI data as the predictor and response variables, respectively, and proposed a regression method for studying the association between them based on a supervised sparse multivariate analysis with dimension reduction based on a composite paired basis function. By applying this method to imaging data of 61 patients with AD (age: 55\u201385), the first component showed the strongest correlation with the composite score, owing to the supervised feature. The spatial pattern included the hippocampal and parahippocampal regions for MRI. The peak value was observed in the posterior cingulate and precuneus for PiB. The differences in PiB scores among the diagnosis groups 12 months after PiB imaging were significant between the normal and AD groups (p = 0.0284), but not between the normal and mild cognitive impairment (MCI) groups or the MCI and AD groups (p = 0.3508). Our method may facilitate the development of a dementia biomarker from brain imaging data. Scoring imaging data allows for visualization and the application of traditional analysis, facilitating clinical analysis for better interpretation of results.<\/jats:p>","DOI":"10.3390\/bioengineering12010048","type":"journal-article","created":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T07:00:47Z","timestamp":1736406047000},"page":"48","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multivariate Analyses with Two-Step Dimension Reduction for an Association Study Between 11C-Pittsburgh Compound B and Magnetic Resonance Imaging in Alzheimer\u2019s Disease"],"prefix":"10.3390","volume":"12","author":[{"given":"Atsushi","family":"Kawaguchi","sequence":"first","affiliation":[{"name":"Faculty of Medicine, Saga University, 5-1-1 Nabeshima, Saga 849-8501, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fumio","family":"Yamashita","sequence":"additional","affiliation":[{"name":"Division of Ultrahigh Field MRI, Iwate Medical University, 1-1-1 Idaidori, Yahaba 028-3694, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"e105","DOI":"10.1016\/S2468-2667(21)00249-8","article-title":"Estimation of the global prevalence of dementia in 2019 and forecasted prevalence in 2050: An analysis for the Global Burden of Disease Study 2019","volume":"7","author":"Nichols","year":"2022","journal-title":"Lancet Public Health"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Adlard, P.A., Tran, B.A., Finkelstein, D.I., Desmond, P.M., Johnston, L.A., Bush, A.I., and Egan, G.F. 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