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Research Article

Massively expedited genome-wide heritability analysis (MEGHA)

Tian Ge, Thomas E. Nichols, Phil H. Lee, Avram J. Holmes, Joshua L. Roffman, Randy L. Buckner, Mert R. Sabuncu, and Jordan W. Smoller
PNAS February 24, 2015 112 (8) 2479-2484; first published February 9, 2015; https://doi.org/10.1073/pnas.1415603112
Tian Ge
aAthinoula A. Martinos Center for Biomedical Imaging, Massachusetts General Hospital/Harvard Medical School, Charlestown, MA 02129;
bPsychiatric and Neurodevelopmental Genetics Unit, Center for Human Genetic Research, Massachusetts General Hospital, Boston, MA 02114;
cStanley Center for Psychiatric Research, Broad Institute of MIT and Harvard, Cambridge, MA 02138;
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  • For correspondence: tge1@mgh.harvard.edu jsmoller@hms.harvard.edu
Thomas E. Nichols
dDepartment of Statistics & Warwick Manufacturing Group, The University of Warwick, Coventry CV4 7AL, United Kingdom;
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Phil H. Lee
bPsychiatric and Neurodevelopmental Genetics Unit, Center for Human Genetic Research, Massachusetts General Hospital, Boston, MA 02114;
cStanley Center for Psychiatric Research, Broad Institute of MIT and Harvard, Cambridge, MA 02138;
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Avram J. Holmes
eDepartment of Psychology, Yale University, New Haven, CT 06520;
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Joshua L. Roffman
fDepartment of Psychiatry, Massachusetts General Hospital/Harvard Medical School, Boston, MA 02114;
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Randy L. Buckner
aAthinoula A. Martinos Center for Biomedical Imaging, Massachusetts General Hospital/Harvard Medical School, Charlestown, MA 02129;
fDepartment of Psychiatry, Massachusetts General Hospital/Harvard Medical School, Boston, MA 02114;
gDepartment of Psychology and Center for Brain Science, Harvard University, Cambridge, MA 02138; and
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Mert R. Sabuncu
aAthinoula A. Martinos Center for Biomedical Imaging, Massachusetts General Hospital/Harvard Medical School, Charlestown, MA 02129;
hComputer Science and Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139
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Jordan W. Smoller
bPsychiatric and Neurodevelopmental Genetics Unit, Center for Human Genetic Research, Massachusetts General Hospital, Boston, MA 02114;
cStanley Center for Psychiatric Research, Broad Institute of MIT and Harvard, Cambridge, MA 02138;
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  • For correspondence: tge1@mgh.harvard.edu jsmoller@hms.harvard.edu
  1. Edited by C. Thomas Caskey, Baylor College of Medicine, Houston, TX, and approved January 15, 2015 (received for review August 12, 2014)

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    Fig. 1.

    MEGHA SNP-based heritability estimates for global morphometric measurements are plotted against GCTA results.

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    Fig. 2.

    Evaluation of MEGHA using average cortical thickness measures in 68 regions of interest (ROIs). MEGHA SNP-based heritability estimates (Left) and P values (Right) are plotted against GCTA results for each ROI. There is an excellent concordance between MEGHA and GCTA.

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    Fig. 3.

    Superior (S), inferior (I), lateral (L), anterior (A), posterior (P), and medial (M) views of the vertex-wise surface maps for SNP-based heritability significance of cortical thickness measures constructed by MEGHA. All clusters identified with a cluster-forming threshold P = 0.01 are shown. Five clusters that are familywise error corrected (FWEc) significant in size (FWEc, P < 0.05) based on 1,000 permutations are white outlined and annotated.

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    Table 1.

    Analysis of global morphometric measurements

    MeasurementTest–retest reliabilityGCTAMEGHA
    h^2SEP valueFWEc P value (Bonf)h^2P valuePerm P valueFWEc P value (Perm)
    Intracranial volume (ICV)0.9950.8490.2756.95E-40.0110.8043.91E-44.16E-44.21E-3
    Total brain volume0.9970.9810.2731.07E-41.71E-30.9295.24E-57.00E-56.32E-4
    Left hemispheric cortical GM volume0.9920.5210.2790.0330.5290.4320.0360.0360.265
    Right hemispheric cortical GM volume0.9910.4920.2790.0410.6520.4110.0430.0430.307
    Total cortical GM volume0.9940.5150.2790.0340.5500.4290.0370.0370.270
    Total subcortical GM volume0.9680.3570.2790.1041.0000.2980.1070.1070.587
    Total GM volume0.9950.4750.2790.0500.7960.3820.0550.0550.374
    Left hemispheric WM volume0.9960.4160.2790.0711.0000.3440.0750.0760.467
    Right hemispheric WM volume0.9960.3020.2790.1401.0000.2570.1410.1420.691
    Total WM volume0.9960.3690.2790.0951.0000.3100.0980.0980.556
    Left hemispheric mean cortical thickness0.8990.6880.2775.60E-30.0900.6254.54E-34.83E-30.043
    Right hemispheric mean cortical thickness0.8850.7320.2773.48E-30.0560.6622.84E-32.99E-30.027
    Overall mean cortical thickness0.9350.7340.2773.41E-30.0550.6652.73E-32.93E-30.027
    Left hemispheric total surface area0.9990.2980.2790.1371.0000.2700.1300.1290.658
    Right hemispheric total surface area0.9970.2880.2790.1391.0000.2740.1270.1260.650
    Total surface area0.9980.3050.2790.1281.0000.2830.1180.1180.625
    • Test–retest reliability of the measurements measured by correlation coefficient is computed using 42 individuals with repeated brain structural MRI scans on separate days. The heritability estimate h^2 with the corresponding SE and P value obtained by GCTA, the familywise error corrected (FWEc) GCTA P value using Bonferroni correction, the heritability estimate h^2 and P value computed by MEGHA, and the uncorrected and corrected P values obtained by the proposed permutation procedure based on one million permutations are provided. FWEc significant P values (<0.05) are shown in italic.

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    Table 2.

    Comparison of the computational time of MEGHA and GCTA when applied to different types of analyses

    CaseType of analysisEffective no. of phenotypesGCTAMEGHA
    1Analysis of global morphometric measurements16120 s0.65 s
    2ROI analysis68400 s0.75 s
    3Vertex-wise heritability mapping299,88139.01 d90 s
    4ROI analysis with permutation inference (one million permutations)68,000,00024.24 y*3.5 h
    5Vertex-wise analysis with cluster inference (one thousand permutations)299,881,000106.88 y*6.8 h
    • ↵* Estimated computational time, using the average computational time, ∼11.24 s, for each phenotype in case 3.

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Massively expedited heritability analysis
Tian Ge, Thomas E. Nichols, Phil H. Lee, Avram J. Holmes, Joshua L. Roffman, Randy L. Buckner, Mert R. Sabuncu, Jordan W. Smoller
Proceedings of the National Academy of Sciences Feb 2015, 112 (8) 2479-2484; DOI: 10.1073/pnas.1415603112

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Massively expedited heritability analysis
Tian Ge, Thomas E. Nichols, Phil H. Lee, Avram J. Holmes, Joshua L. Roffman, Randy L. Buckner, Mert R. Sabuncu, Jordan W. Smoller
Proceedings of the National Academy of Sciences Feb 2015, 112 (8) 2479-2484; DOI: 10.1073/pnas.1415603112
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