function [summary_clusters, summary_peaks]=stat_summary(input_file, fwhm, ... df, mask_file, mask_thresh, input_thresh, flip, nconj, nvar); %STAT_SUMMARY produces SPM-style summary analyses of T or F statistic images % % [SUMMARY_CLUSTERS SUMMARY_PEAKS] = STAT_SUMMARY( INPUT_FILE [, FWHM [, DF [, % MASK_FILE [, MASK_THRESH [, INPUT_THRESH [, FLIP [, NCONJ [, NVAR ]]]]]]]]) % % Produces an SPM-style glass brain and summary analysis of a T or F statistic % image. If an FWHM image file is provided, P-values for local maxima and % cluster sizes are based on non-isotropic random field theory, or Bonferroni, % or discrete local maxima (DLM), whichever is smaller. % % The random field theory is based on the assumption that the search region % is a sphere (in isotropic space), which is a very tight lower bound for % any non-spherical region, unless you supply all the resels. % % The DLM P-value is an upper bound, like Bonferroni, but it is more accurate % over a greater range of FWHM. % % It also produces a volume of clusters labelled by their index % (as in SUMMARY_CLUSTERS) with '_cluster' before the % extension, handy for identifying the clusters in 'register'. % % It also produces a volume of corrected P-values with '_Pval' before the % extension. Values are multiplied by -1 (so bigger values are more % significant), with -1.1 outside the mask (see MASK_FILE below). % % INPUT_FILE: Finds its local maxima and clusters above INPUT_THRESH. % Clusters are voxels connected in any of the 2*D directions. A local maximum % is a voxel which is greater than or equal to all its 2*D neighbours, % and strictly greater than at least one of them. If empty, just prints out % average FWHM (see below). % % OUTPUT_FILE_BASE if not empty, outputs the volume of corrected P-values % in OUTPUT_FILE_BASE_Pval.ext. Default is []. % % FWHM is the fwhm in mm of a smoothing kernel applied to the data, either % as a fwhm file from fmrilm, multistat or glim_image, or as a scalar. % If FWHM is a vector, these are treated as resels of the mask. % If empty (default), looks for a fwhm attribute in INPUT_FILE, and if % it can't find it, sets FWHM=0. % % DF=[DF1 DF2; DFW1 DFW2] is a 2 x 2 matrix of degrees of freedom. % If DF2 is 0, then DF1 is the df of the T statistic image. % If DF1=Inf then it calculates thresholds for the Gaussian image. % If DF2>0 then DF1 and DF2 are the df's of the F statistic image. % DFW1 and DFW2 are the numerator and denominator df of the FWHM image. % If DF=[DF1 DF2] (row) then DFW1=DFW2=Inf, i.e. FWHM is fixed. % If DF=[DF1; DFW1] (column) then DF2=0 and DFW2=DFW1, i.e. t statistic. % If DF=DF1 (scalar) then DF2=0 and DFW1=DFW2=Inf, i.e. t stat, fixed FWHM. % If any component of DF >= 1000 then it is set to Inf. Default is Inf. % If FWHM is estimated by FMRILM, set DFW1=DFW2=DF outputted by FMRILM; % if FWHM is estimated by MULTISAT, set DFW1=DF_RESID, DFW2=DF outputted % by MULTISTAT. If empty (default), finds DF from INPUT_FILE, and if % it can't find it, sets DF=Inf. % % MASK_FILE is a mask file. If empty (default), it is ignored. % % MASK_THRESH defines the search volume as the first frame of MASK_FILE % > MASK_THRESH. If MASK_THRESH is a vector [a b], a<=b, then mask % is a < MASK_FILE <= b. If empty (default), calls fmri_mask_thresh. % % INPUT_THRESH: If <= 1 then the second element is taken as a probability and % the threshold is chosen so that the uncorrected P-value is this probability. % If INPUT_THRESH is a scalar, the second element is set equal to the first. % The default is 0.001, i.e. the threshold satisfies P=0.001 (uncorrected). % % FLIP: INPUT_FILE is multiplied by FLIP before processing. For T statistic % images, FLIP = -1 will look for negative peaks and clusters. Default is 1. % % NCONJ: use is now discouraged. If NCONJ > 1, calculates P-values % for peaks (but not clusters) of the minimum of NCONJ independent % SPM's - see Friston, K.J., Holmes, A.P., Price, C.J., Buchel, C., % Worsley, K.J. (1999). Multi-subject fMRI studies and conjunction analyses. % NeuroImage, 10:385-396. If empty (default), finds NCONJ from INPUT_FILE, % and if it can't find it, sets NCONJ=1 (no conjunctions). % % NVAR is the number of variables for multivariate equivalents of T and F % statistics, found by maximizing T^2 or F over all linear combinations of % variables, i.e. Hotelling's T^2 for DF1=1, Roy's maximum root for DF1>1. % Default is 1, i.e. univariate statistics. % % SUMMARY_CLUSTERS is a matrix with 6 columns: % Col 1: index of cluster, in descending order of cluster resels. % Col 2: volume of cluster in mm^3. % Col 3: resels of cluster. % Col 4: P-value of cluster extent. % Col 5: P-value if the cluster was chosen in advance, e.g. nearest to an ROI. % % SUMMARY_PEAKS is a matrix with 11 columns. % Col 1: index of cluster. % Col 2: values of local maxima, sorted in descending order withihn cluster. % Col 3: P-value of local maxima. % Col 4: P-value if the peak was chosen in advance, e.g. nearest to an ROI. % Col 5: Q-value or false discovery rate ~ probability that voxel is not signal. % Cols 6-8: i,j,k coords of local maxima in voxels, starting at 0, as in 'register'. % Cols 9-11: x,y,z coords of local maxima in world coordinates (mm). %############################################################################ % COPYRIGHT: Copyright 2002 K.J. Worsley, % Department of Mathematics and Statistics, % McConnell Brain Imaging Center, % Montreal Neurological Institute, % McGill University, Montreal, Quebec, Canada. % worsley@math.mcgill.ca % % Permission to use, copy, modify, and distribute this % software and its documentation for any purpose and without % fee is hereby granted, provided that this copyright % notice appears in all copies. The author and McGill University % make no representations about the suitability of this % software for any purpose. It is provided "as is" without % express or implied warranty. %############################################################################ % Defaults: if nargin<2; fwhm=[]; end if nargin<3; df=[]; end if nargin<4; mask_file=[]; end if nargin<5; mask_thresh=[]; end if nargin < 6 input_thresh=0.001 end if nargin < 7 flip=1 end if nargin<8; nconj=[]; end if nargin<9; nvar=1; end if ~isempty(input_file) d=fmris_read_image(input_file,0,0); if isempty(df) if isfield(d,'df') df=d.df else df=Inf end end if isempty(nconj) if isfield(d,'nconj') nconj=d.nconj else nconj=1 end end if isempty(fwhm) if isfield(d,'fwhm') fwhm=d.fwhm else fwhm=0 end end end if ischar(fwhm) d=fmris_read_image(fwhm,0,0); if isfield(d,'df') df(2,1:2)=d.df end end if length(input_thresh)==1 input_thresh=[input_thresh input_thresh]; end if input_thresh(1) > 1 input_thresh=input_thresh(1) else x=stat_threshold(1,1,0,df,input_thresh,0.001,0.05,nconj,nvar); input_thresh=x(2) end if ~isempty(mask_file) & isempty(mask_thresh) mask_thresh=fmri_mask_thresh(mask_file); end if ~isempty(input_file) [base,ext]=fileparts2(input_file); if strcmp(ext,'.BRIK') base1=base(1:(length(base)-5)); base2=base(length(base)-5+(1:5)); file_w=[base1 '_cluster' ext]; file_h=[base1 '_cluster' base2 '.HEAD']; file_b=[base1 '_cluster' base2 ext]; if exist(file_h); delete(file_h); end if exist(file_b); delete(file_b); end lm=locmax(input_file,input_thresh,mask_file,mask_thresh,fwhm,flip,file_w); cluster_file=file_b; else cluster_file=[base '_cluster' ext]; if exist(cluster_file); delete(cluster_file); end lm=locmax(input_file,input_thresh,mask_file,mask_thresh,fwhm,flip,cluster_file); end if isempty(lm) summary_clusters=[]; summary_peaks=[]; return end [search_volume, num_voxels]= ... glass_brain(input_file,input_thresh,mask_file,mask_thresh,flip); colormap(spectral); if strcmp(ext,'.BRIK') file_w=[base1 '_Pval' ext]; file_h=[base1 '_Pval' base2 '.HEAD']; file_b=[base1 '_Pval' base2 ext]; if exist(file_h); delete(file_h); end if exist(file_b); delete(file_b); end pval_file=file_b; else pval_file=[base '_Pval' ext]; if exist(pval_file); delete(pval_file); end end d=fmris_read_image(input_file,0,0); else d=fmrs_read_image(fwhm_file,0,0); end if ~isempty(mask_file) mask_thresh1=mask_thresh(1); if length(mask_thresh)>=2 mask_thresh2=mask_thresh(2); else mask_thresh2=Inf; end d=fmris_read_image(mask_file,1:d.dim(3),1); mask=d.data; mask= (mask>mask_thresh1 & mask<=mask_thresh2); else mask=ones(d.dim(1),d.dim(2),d.dim(3)); end d=fmris_read_image(input_file); d.data=d.data*flip; ivox=find(mask & d.data>input_thresh); z=d.data(ivox); if isstr(fwhm) d=fmris_read_image(fwhm,0,0); if d.dim(4)>=2 d=fmris_read_image(fwhm,1:d.dim(3),2); else d=fmris_read_image(fwhm,1:d.dim(3),1); d.data=abs(prod(d.vox(1:3)))./(d.data+(d.data<=0)).^3.*(d.data>0); end search_resels=sum(sum(sum(mask.*d.data))) num_voxels=sum(sum(sum(mask))) search_volume=num_voxels*abs(prod(d.vox(1:3))) average_fwhm=(search_volume/search_resels)^(1/3) if isempty(input_file) return end [p_peak, p_cluster, p_peak1, p_cluster1]= ... stat_threshold(search_resels, num_voxels, 1, ... df, [10; lm(:,1)], input_thresh, [10; lm(:,7)], nconj, nvar); pdlm=dlm([10; lm(:,1)],fwhm,df,mask_file,mask_thresh,nconj,nvar)'; p_peak=min(p_peak,pdlm); p_vol=stat_threshold(search_resels, num_voxels, 1, ... df, [10; z], [], [], nconj, nvar); p_vol=p_vol(2:length(p_vol)); pdlm1=dlm([10; min(z)],fwhm,df,mask_file,mask_thresh,nconj,nvar)'; pdlmz=interp1([min(z); flipud(lm(:,1))],[pdlm1(2); flipud(pdlm(2:length(pdlm)))], z, 'pchip'); p_vol=min(p_vol,pdlmz); elseif length(fwhm)==1 [p_peak, p_cluster, p_peak1, p_cluster1]= ... stat_threshold(search_volume, num_voxels, fwhm, ... df, [10; lm(:,1)], input_thresh, [10; lm(:,6)], nconj, nvar); p_vol=stat_threshold(search_volume, num_voxels, fwhm, ... df, [10; z], [], [], nconj, nvar); p_vol=p_vol(2:length(p_vol)); else [p_peak, p_cluster, p_peak1, p_cluster1]= ... stat_threshold(fwhm, num_voxels, 1, ... df, [10; lm(:,1)], input_thresh, [10; lm(:,6)], nconj, nvar); p_vol=stat_threshold(fwhm, num_voxels, 1, ... df, [10; z], [], [], nconj, nvar); p_vol=p_vol(2:length(p_vol)); end p_peak=p_peak(2:length(p_peak)); p_cluster=p_cluster(2:length(p_cluster)); p_peak1=p_peak1(2:length(p_peak1)); p_cluster1=p_cluster1(2:length(p_cluster1)); out.dim=d.dim; out.dim(4)=1; out.data=zeros(d.dim(1:3))-1.1; out.data(find(mask))=-1; out.data(ivox)=-min(p_vol,1); out.parent_file=input_file; [path,name,ext]=fileparts(input_file); out.file_name=pval_file; fmris_write_image(out,1:out.dim(3),1); q_value = fdr_threshold( input_file, input_thresh, ... mask_file, mask_thresh, df, lm(:,1), flip, nconj, nvar); if isnan(p_cluster(1)) summary_clusters=unique(lm(:,5:7),'rows'); n=size(summary_clusters,1); ['clus vol resel'] [repmat(' ',n,1) ... num2str(round(summary_clusters(:,1))) repmat(' ',n,1) ... num2str(round(summary_clusters(:,2))) repmat(' ',n,1) ... num2str(round(summary_clusters(:,3)*100)/100) ] else summary_clusters=unique([lm(:,5:7) p_cluster p_cluster1],'rows'); n=size(summary_clusters,1); ['clus vol resel Pval (one)'] [repmat(' ',n,1) ... num2str(round(summary_clusters(:,1))) repmat(' ',n,1) ... num2str(round(summary_clusters(:,2))) repmat(' ',n,1) ... num2str(round(summary_clusters(:,3)*100)/100) repmat(' ',n,1) ... num2str(round(summary_clusters(:,4)*1000)/1000) repmat(' (',n,1) ... num2str(round(summary_clusters(:,5)*1000)/1000) repmat(') ',n,1)] n_clus=sum(summary_clusters(:,4)<=0.05); if n_clus>0 p=get(gca,'Position'); axes('position',[p(1)+p(3)*7/6+0.05 p(2) 0.9-p(1)-p(3)*7/6 p(4)]); blob_brain(input_file,input_thresh*flip,cluster_file,[0.5 n_clus+0.5]); title('Clusters, P<0.05, index='); end end isminc=strcmp(lower(ext),'.mnc'); if isminc h=openimage(input_file); coord=voxeltoworld(h,lm(:,2:4)','xyzorder zerobase noflip')'; closeimage(h); else d=fmris_read_image(input_file,0,0); coord=lm(:,2:4).*(ones(size(lm,1),1)*d.vox)+ones(size(lm,1),1)*d.origin; end summary_peaks=[lm(:,5) lm(:,1) p_peak p_peak1 q_value' lm(:,2:4) coord ]; summary_peaks=flipud(sortrows(summary_peaks,2)); n=size(lm,1); ['clus peak Pval (one) Qval (i j k) ( x y z )'] [repmat(' ',n,1) ... num2str(round(summary_peaks(:,1))) repmat(' ',n,1) ... num2str(round(summary_peaks(:,2)*100)/100) repmat(' ',n,1) ... num2str(round(summary_peaks(:,3)*1000)/1000) repmat(' (',n,1) ... num2str(round(summary_peaks(:,4)*1000)/1000) repmat(') ',n,1) ... num2str(round(summary_peaks(:,5)*1000)/1000) repmat(' (',n,1) ... num2str(round(summary_peaks(:,6:8))) repmat(') (',n,1) ... num2str(round(summary_peaks(:,9)*10)/10) repmat(' ',n,1) ... num2str(round(summary_peaks(:,10)*10)/10) repmat(' ',n,1) ... num2str(round(summary_peaks(:,11)*10)/10) repmat(')',n,1)] return