PMID- 21860598 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20211020 IS - 1369-7412 (Print) IS - 1369-7412 (Linking) VI - 73 IP - 4 DP - 2011 Sep TI - Multiscale Adaptive Regression Models for Neuroimaging Data. PG - 559-578 AB - Neuroimaging studies aim to analyze imaging data with complex spatial patterns in a large number of locations (called voxels) on a two-dimensional (2D) surface or in a 3D volume. Conventional analyses of imaging data include two sequential steps: spatially smoothing imaging data and then independently fitting a statistical model at each voxel. However, conventional analyses suffer from the same amount of smoothing throughout the whole image, the arbitrary choice of smoothing extent, and low statistical power in detecting spatial patterns. We propose a multiscale adaptive regression model (MARM) to integrate the propagation-separation (PS) approach (Polzehl and Spokoiny, 2000, 2006) with statistical modeling at each voxel for spatial and adaptive analysis of neuroimaging data from multiple subjects. MARM has three features: being spatial, being hierarchical, and being adaptive. We use a multiscale adaptive estimation and testing procedure (MAET) to utilize imaging observations from the neighboring voxels of the current voxel to adaptively calculate parameter estimates and test statistics. Theoretically, we establish consistency and asymptotic normality of the adaptive parameter estimates and the asymptotic distribution of the adaptive test statistics. Our simulation studies and real data analysis confirm that MARM significantly outperforms conventional analyses of imaging data. FAU - Li, Yimei AU - Li Y AD - University of North Carolina at Chapel Hill, Chapel Hill, North Carolina, USA. FAU - Zhu, Hongtu AU - Zhu H FAU - Shen, Dinggang AU - Shen D FAU - Lin, Weili AU - Lin W FAU - Gilmore, John H AU - Gilmore JH FAU - Ibrahim, Joseph G AU - Ibrahim JG LA - eng GR - R01 CA074015-04A1/CA/NCI NIH HHS/United States GR - R01 NS037312-03/NS/NINDS NIH HHS/United States GR - UL1 RR025747-01/RR/NCRR NIH HHS/United States GR - R01 NS055754-04/NS/NINDS NIH HHS/United States GR - R01 MH070890-01/MH/NIMH NIH HHS/United States GR - UL1 RR025747/RR/NCRR NIH HHS/United States GR - R01 CA074015-08A2/CA/NCI NIH HHS/United States GR - R01 MH070890-04/MH/NIMH NIH HHS/United States GR - R01 NS055754-02/NS/NINDS NIH HHS/United States GR - R01 MH070890-07/MH/NIMH NIH HHS/United States GR - R01 HD053000-03S1/HD/NICHD NIH HHS/United States GR - R01 NS037312-02/NS/NINDS NIH HHS/United States GR - R01 CA074015-11A1/CA/NCI NIH HHS/United States GR - R21 AG033387-02/AG/NIA NIH HHS/United States GR - R01 NS054079-04S1/NS/NINDS NIH HHS/United States GR - R01 NS055754-01A1/NS/NINDS NIH HHS/United States GR - P30 ES010126/ES/NIEHS NIH HHS/United States GR - R01 CA074015-09/CA/NCI NIH HHS/United States GR - UL1 RR025747-01S1/RR/NCRR NIH HHS/United States GR - P50 MH064065-04/MH/NIMH NIH HHS/United States GR - P01 CA142538-01/CA/NCI NIH HHS/United States GR - R01 GM070335-12/GM/NIGMS NIH HHS/United States GR - R01 NS054079-05/NS/NINDS NIH HHS/United States GR - R01 NS054079-03/NS/NINDS NIH HHS/United States GR - R01 CA074015-06/CA/NCI NIH HHS/United States GR - R01 CA074015-05/CA/NCI NIH HHS/United States GR - R01 HD053000-05/HD/NICHD NIH HHS/United States GR - R01 HD053000-04/HD/NICHD NIH HHS/United States GR - R01 MH070890-03/MH/NIMH NIH HHS/United States GR - P50 MH064065-09/MH/NIMH NIH HHS/United States GR - P50 MH064065-08S2/MH/NIMH NIH HHS/United States GR - R01 MH086633-02/MH/NIMH NIH HHS/United States GR - P50 MH064065-05/MH/NIMH NIH HHS/United States GR - R01 HD053000-01A1/HD/NICHD NIH HHS/United States GR - R01 MH070890-08/MH/NIMH NIH HHS/United States GR - P01 CA142538-02/CA/NCI NIH HHS/United States GR - R01 CA074015-03/CA/NCI NIH HHS/United States GR - R01 GM070335-08/GM/NIGMS NIH HHS/United States GR - R01 NS055754-05/NS/NINDS NIH HHS/United States GR - P50 MH064065-03/MH/NIMH NIH HHS/United States GR - R01 HD053000-03/HD/NICHD NIH HHS/United States GR - R01 MH086633-03/MH/NIMH NIH HHS/United States GR - R01 GM070335-10/GM/NIGMS NIH HHS/United States GR - R21 AG033387-01A1/AG/NIA NIH HHS/United States GR - R01 NS054079-04/NS/NINDS NIH HHS/United States GR - R01 MH070890-06A1/MH/NIMH NIH HHS/United States GR - P50 MH064065-08S1/MH/NIMH NIH HHS/United States GR - R01 NS037312-04/NS/NINDS NIH HHS/United States GR - R01 MH086633/MH/NIMH NIH HHS/United States GR - R01 GM070335-09/GM/NIGMS NIH HHS/United States GR - UL1 RR025747-02/RR/NCRR NIH HHS/United States GR - R01 CA074015-10/CA/NCI NIH HHS/United States GR - P50 MH064065/MH/NIMH NIH HHS/United States GR - R01 GM070335/GM/NIGMS NIH HHS/United States GR - R01 NS054079/NS/NINDS NIH HHS/United States GR - R01 MH086633-01A1/MH/NIMH NIH HHS/United States GR - R01 NS055754/NS/NINDS NIH HHS/United States GR - P50 MH064065-07/MH/NIMH NIH HHS/United States GR - P50 MH064065-08/MH/NIMH NIH HHS/United States GR - R01 MH070890-05S1/MH/NIMH NIH HHS/United States GR - R01 GM070335-11/GM/NIGMS NIH HHS/United States GR - UL1 RR025747-02S3/RR/NCRR NIH HHS/United States GR - P50 MH064065-10/MH/NIMH NIH HHS/United States GR - R01 MH070890/MH/NIMH NIH HHS/United States GR - R01 HD053000-02/HD/NICHD NIH HHS/United States GR - R01 HD053000/HD/NICHD NIH HHS/United States GR - R01 GM070335-07A1/GM/NIGMS NIH HHS/United States GR - P50 MH064065-06/MH/NIMH NIH HHS/United States GR - R01 CA074015-12/CA/NCI NIH HHS/United States GR - U01 MH070890/MH/NIMH NIH HHS/United States GR - R01 MH070890-05/MH/NIMH NIH HHS/United States GR - R01 MH070890-02/MH/NIMH NIH HHS/United States GR - R01 NS054079-01A1/NS/NINDS NIH HHS/United States GR - R01 NS054079-02/NS/NINDS NIH HHS/United States GR - P01 CA142538/CA/NCI NIH HHS/United States GR - R01 NS037312-01A1/NS/NINDS NIH HHS/United States GR - R01 NS055754-03/NS/NINDS NIH HHS/United States GR - R21 AG033387/AG/NIA NIH HHS/United States GR - R01 CA074015-07/CA/NCI NIH HHS/United States GR - R01 CA074015/CA/NCI NIH HHS/United States PT - Journal Article PL - England TA - J R Stat Soc Series B Stat Methodol JT - Journal of the Royal Statistical Society. Series B, Statistical methodology JID - 100890344 PMC - PMC3158617 MID - NIHMS265338 EDAT- 2011/08/24 06:00 MHDA- 2011/08/24 06:01 PMCR- 2011/12/01 CRDT- 2011/08/24 06:00 PHST- 2011/08/24 06:00 [entrez] PHST- 2011/08/24 06:00 [pubmed] PHST- 2011/08/24 06:01 [medline] PHST- 2011/12/01 00:00 [pmc-release] AID - 10.1111/j.1467-9868.2010.00767.x [doi] PST - ppublish SO - J R Stat Soc Series B Stat Methodol. 2011 Sep;73(4):559-578. doi: 10.1111/j.1467-9868.2010.00767.x.