diff --git a/For_Rereading/Compute_MetaMetrics.m b/For_Rereading/Compute_MetaMetrics.m new file mode 100644 index 0000000..69fa1d7 --- /dev/null +++ b/For_Rereading/Compute_MetaMetrics.m @@ -0,0 +1,47 @@ +function [Counts,Counts_total,Label,META] = Compute_MetaMetrics(TParams,MaskXYZABG,n_subjects) + + % Creation of a counts vector for population-level data (Counts_total) and + % separately across subjects + Counts = zeros(3^6,n_subjects); + Counts_total = zeros(3^6,1); + + % Factorial design + META = fullfact([3 3 3 3 3 3]) -2; + + for i = 1:size(META,1) + + % Total counts + Counts_total(i) = sum(ismember(TParams,META(i,:),'rows')); + + % Subject-specific counts + for s = 1:n_subjects + Counts(i,s) = sum(ismember(MaskXYZABG(:,:,s),META(i,:),'rows')); + end + + % I want to know what each of my meta-states corresponds to, hence the + % creation of Label + Label{i} = num2str(META(i,:)); + + end + + % In addition, I also want to compute transition probabilities across all + % my states +% Transitions = zeros(3^6,3^6,n_subjects); +% +% for i = 1:size(META,1) +% for j = 1:size(META,1) +% +% for s = 1:n_subjects +% +% % Samples the scrubbed frames of the subject of interest +% tmp_frames = TParams(s_index == s,:); +% +% % How many times do we observe a given transition +% Transitions(i,j,s) = sum(ismember(tmp_frames,META(i,:),'rows') & ismember(circshift(tmp_frames,-1),META(j,:),'rows')); +% end +% +% Transitions_total = sum(Transitions,3); +% end +% end + +end diff --git a/For_Rereading/ExtractMeta.m b/For_Rereading/ExtractMeta.m new file mode 100644 index 0000000..e68f257 --- /dev/null +++ b/For_Rereading/ExtractMeta.m @@ -0,0 +1,39 @@ +function [TParams,MaskXYZABG,s_index,t_index] = ExtractMeta(DeltaMot,T_scrubbing,Median_Threshold,n_subjects) + + % Thresholding individual traces + MaskXYZABG = zeros(1199,6,n_subjects); + + % Subject index + s_index = []; + + % Time index + t_index = []; + + % Thresholded params + TParams = []; + + FD = squeeze(sum(abs(DeltaMot),2)); + + for s = 1:n_subjects + + % Selection of time x params matrix for a subject + tmp = DeltaMot(:,:,s); + + % Thresholds + THR = median(tmp) + Median_Threshold*std(tmp); + THR2 = median(tmp) - Median_Threshold*std(tmp); + + % Thresholding + for p = 1:6 + MaskXYZABG(tmp(:,p) > THR(:,p),p,s) = 1; + MaskXYZABG(tmp(:,p) < THR2(:,p),p,s) = -1; + end + + Test = MaskXYZABG(FD(:,s) > T_scrubbing,:,s); + + t_index = [t_index;find(FD(:,s) > T_scrubbing)]; + s_index = [s_index;s*ones(size(Test,1),1)]; + TParams = [TParams;Test]; + end + +end \ No newline at end of file diff --git a/For_Rereading/FIG1.eps b/For_Rereading/FIG1.eps new file mode 100644 index 0000000..c97ed61 Binary files /dev/null and b/For_Rereading/FIG1.eps differ diff --git a/For_Rereading/FIG6.eps b/For_Rereading/FIG6.eps new file mode 100644 index 0000000..b6eb0eb Binary files /dev/null and b/For_Rereading/FIG6.eps differ diff --git a/For_Rereading/FINALLLLLLLL2222222.mat b/For_Rereading/FINALLLLLLLL2222222.mat new file mode 100644 index 0000000..0c62473 Binary files /dev/null and b/For_Rereading/FINALLLLLLLL2222222.mat differ diff --git a/For_Rereading/ForRereading/FIG1.eps b/For_Rereading/ForRereading/FIG1.eps new file mode 100644 index 0000000..c97ed61 Binary files /dev/null and b/For_Rereading/ForRereading/FIG1.eps differ diff --git a/For_Rereading/ForRereading/Figure1.eps b/For_Rereading/ForRereading/FIG1old.eps similarity index 100% rename from For_Rereading/ForRereading/Figure1.eps rename to For_Rereading/ForRereading/FIG1old.eps diff --git a/For_Rereading/ForRereading/Figure2.eps b/For_Rereading/ForRereading/FIG2.eps similarity index 57% copy from For_Rereading/ForRereading/Figure2.eps copy to For_Rereading/ForRereading/FIG2.eps index cca7ec8..0a21a52 100644 Binary files a/For_Rereading/ForRereading/Figure2.eps and b/For_Rereading/ForRereading/FIG2.eps differ diff --git a/For_Rereading/ForRereading/Figure2.eps b/For_Rereading/ForRereading/FIG3.eps similarity index 100% rename from For_Rereading/ForRereading/Figure2.eps rename to For_Rereading/ForRereading/FIG3.eps diff --git a/For_Rereading/ForRereading/Figure3.eps b/For_Rereading/ForRereading/FIG4.eps similarity index 100% rename from For_Rereading/ForRereading/Figure3.eps rename to For_Rereading/ForRereading/FIG4.eps diff --git a/For_Rereading/ForRereading/Figure4.eps b/For_Rereading/ForRereading/FIG5.eps similarity index 100% rename from For_Rereading/ForRereading/Figure4.eps rename to For_Rereading/ForRereading/FIG5.eps diff --git a/For_Rereading/ForRereading/FIG6.eps b/For_Rereading/ForRereading/FIG6.eps new file mode 100644 index 0000000..b6eb0eb Binary files /dev/null and b/For_Rereading/ForRereading/FIG6.eps differ diff --git a/For_Rereading/METAAAAA.eps b/For_Rereading/METAAAAA.eps new file mode 100644 index 0000000..57eb052 --- /dev/null +++ b/For_Rereading/METAAAAA.eps @@ -0,0 +1,824 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: (MATLAB, The Mathworks, Inc. 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322.29297] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 205.28999 317.66125] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 205.28999 278.29163] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 205.28999 259.76477] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 309.55573] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 304.92401] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 303.76608] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 300.2923] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 299.13437] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 297.97644] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 295.66058] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 292.1868] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 292.1868] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 284.0813] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 277.1337] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 248.18547] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 220.07001 221.55309] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 328.08261] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 325.76675] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 325.76675] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 324.60883] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 324.60883] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 321.13504] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 318.81918] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 234.85001 309.55573] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 322.29297] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 319.97711] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 317.66125] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 316.50333] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 316.50333] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 315.3454] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 314.18747] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 313.02954] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 313.02954] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 311.87161] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 309.55573] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 302.60815] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 293.34473] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 289.87094] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 249.63 275.97577] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR 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CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 329.24054] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 326.92468] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 326.92468] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 325.76675] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 324.60883] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 279.19 324.60883] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR 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329.24054] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 308.75 324.60883] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 308.75 299.13437] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 308.75 296.81851] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 308.75 121.97114] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 323.53 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 323.53 341.97778] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 323.53 340.81985] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 323.53 338.50397] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 323.53 321.13504] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 338.31 335.03018] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M 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1 353.09 336.18811] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 332.71432] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 328.08261] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 328.08261] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 319.97711] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 317.66125] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 353.09 313.02954] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 367.87 336.18811] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L 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426.98999 343.13571] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 343.13571] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 341.97778] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 340.81985] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 340.81985] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 338.50397] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 333.87225] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 316.50333] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 426.98999 307.23987] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 441.76999 341.97778] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 441.76999 341.97778] CT +1 0 0 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0 1 471.32999 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 471.32999 341.97778] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 340.81985] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 339.66193] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 338.50397] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 338.50397] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 326.92468] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 326.92468] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 486.10999 325.76675] CT +1 0 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L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 333.87225] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 330.39847] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 329.24054] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 328.08261] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 328.08261] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 324.60883] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 322.29297] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 322.29297] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 515.66998 322.29297] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 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+[1 0 0 1 574.78998 341.97778] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 340.81985] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 340.81985] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 339.66193] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 338.50397] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 336.18811] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 335.03018] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 333.87225] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 333.87225] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 332.71432] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 326.92468] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 325.76675] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 322.29297] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 574.78998 304.92401] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 350.08328] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 350.08328] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 350.08328] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 589.57001 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 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313.02954] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 350.08328] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 350.08328] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 345.45157] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 345.45157] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 619.13 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 633.90997 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 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344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 663.46997 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 663.46997 343.13571] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 663.46997 335.03018] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 663.46997 332.71432] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 663.46997 317.66125] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 678.25 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 678.25 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 678.25 348.92535] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 678.25 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 678.25 347.76743] CT +1 0 0 RC +10.0 ML +N +0 -3 M 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345.45157] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 345.45157] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 344.29364] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 343.13571] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 341.97778] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 337.34604] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 332.71432] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 331.5564] CT +1 0 0 RC +10.0 ML +N +0 -3 M +0 3 L +-3 0 M +3 0 L +S +GR +GS +[1 0 0 1 693.03003 316.50333] CT +1 0 0 RC +10.0 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setlinecap +1 LJ +0.5 LW +N +524 414 M +524 35 L +S +GR +GS +0.149 GC +2 setlinecap +1 LJ +0.5 LW +N +544 414 M +544 35 L +S +GR +GS +[0.5 0 0 0.5 524 35] CT +[1 0 0 1 0 0] CT +N +0 758 M +40 758 L +40 0 L +cp +clip +GS +0 0 translate +40 758 scale +%AXGBeginBitmap: java.awt.image.BufferedImage +{{ +/RawData currentfile /ASCII85Decode filter def +/Data RawData /FlateDecode filter def +/DeviceRGB setcolorspace +<< + /Decode [0 1 0 1 0 1] + /BitsPerComponent 8 + /Width 40 + /ImageType 1 + /DataSource Data + /ImageMatrix [40 0 0 758 0 0] + /Height 758 +>> image +} stopped {handleerror} if + RawData flushfile +} exec +Gb"0;#Q'Mb*/7ms6qS>"O^pCI)3L(;,9ql-Q*O"KMDCo7AnGV?CdfbIBNTs\e5"hD-n9 +baX]=_orNFe'1R=`)JNkbY3c0l]@KEAtk\"B#[2I*$eiH1DUU5b`%:p-qK:R1BJ2mRMcTl@?;<5M'6I8 +6Xl.F=!7%=R?o&d+s[@Z@Xsj_+OT(?5=kF#6m"r^%uKHldG%>J83C\M)+aCQ`7'h3!K$6+k[rs+89BR( +PE>!;jp=R@%Z/Jmk_.;D6D=Q-g-ajS83@69G*$qO&oAf>"qn$]d0^L<+n;e)LEQ+0,T_KSrK([nM<9n5 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Version 9.2.0.556344 \(R2017a\). Operating System: Mac OS X) +%%Title: /Users/TiBiUan/Desktop/Github/MOT_ANA/For_Rereading/SF_XYZABG.eps +%%CreationDate: 2019-04-27T00:19:45 +%%Pages: (atend) +%%BoundingBox: 0 0 786 367 +%%LanguageLevel: 3 +%%EndComments +%%BeginProlog +%%BeginResource: procset (Apache XML Graphics Std ProcSet) 1.2 0 +%%Version: 1.2 0 +%%Copyright: (Copyright 2001-2003,2010 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) +/bd{bind def}bind def +/ld{load def}bd +/GR/grestore ld +/M/moveto ld +/LJ/setlinejoin ld +/C/curveto ld +/f/fill ld +/LW/setlinewidth ld +/GC/setgray ld +/t/show ld +/N/newpath ld +/CT/concat ld +/cp/closepath ld +/S/stroke ld +/L/lineto ld +/CC/setcmykcolor ld +/A/ashow ld +/GS/gsave ld +/RC/setrgbcolor ld +/RM/rmoveto ld +/ML/setmiterlimit ld +/re {4 2 roll M +1 index 0 rlineto +0 exch rlineto +neg 0 rlineto +cp } bd +/_ctm matrix def +/_tm matrix def +/BT { _ctm currentmatrix pop matrix _tm copy pop 0 0 moveto } bd +/ET { _ctm setmatrix } bd +/iTm { _ctm setmatrix _tm concat } bd +/Tm { _tm astore pop iTm 0 0 moveto } bd +/ux 0.0 def +/uy 0.0 def +/F { + /Tp exch def + /Tf exch def + Tf findfont Tp scalefont setfont + /cf Tf def /cs Tp def +} bd +/ULS {currentpoint /uy exch def /ux exch def} bd +/ULE { + /Tcx currentpoint pop def + gsave + newpath + cf findfont cs scalefont dup + /FontMatrix get 0 get /Ts exch def /FontInfo get dup + /UnderlinePosition get Ts mul /To exch def + /UnderlineThickness get Ts mul /Tt exch def + ux uy To add moveto Tcx uy To add lineto + Tt setlinewidth stroke + grestore +} bd +/OLE { + /Tcx currentpoint pop def + gsave + newpath + cf findfont cs scalefont dup + /FontMatrix get 0 get /Ts exch def /FontInfo get dup + /UnderlinePosition get Ts mul /To exch def + /UnderlineThickness get Ts mul /Tt exch def + ux uy To add cs add moveto Tcx uy To add cs add lineto + Tt setlinewidth stroke + grestore +} bd +/SOE { + /Tcx currentpoint pop def + gsave + newpath + cf findfont cs scalefont dup + /FontMatrix get 0 get /Ts exch def /FontInfo get dup + /UnderlinePosition get Ts mul /To exch def + /UnderlineThickness get Ts mul /Tt exch def + ux uy To add cs 10 mul 26 idiv add moveto Tcx uy To add cs 10 mul 26 idiv add lineto + Tt setlinewidth stroke + grestore +} bd +/QT { +/Y22 exch store +/X22 exch store +/Y21 exch store +/X21 exch store +currentpoint +/Y21 load 2 mul add 3 div exch +/X21 load 2 mul add 3 div exch +/X21 load 2 mul /X22 load add 3 div +/Y21 load 2 mul /Y22 load add 3 div +/X22 load /Y22 load curveto +} bd +/SSPD { +dup length /d exch dict def +{ +/v exch def +/k exch def +currentpagedevice k known { +/cpdv currentpagedevice k get def +v cpdv ne { +/upd false def +/nullv v type /nulltype eq def +/nullcpdv cpdv type /nulltype eq def +nullv nullcpdv or +{ +/upd true def +} { +/sametype v type cpdv type eq def +sametype { +v type /arraytype eq { +/vlen v length def +/cpdvlen cpdv length def +vlen cpdvlen eq { +0 1 vlen 1 sub { +/i exch def +/obj v i get def +/cpdobj cpdv i get def +obj cpdobj ne { +/upd true def +exit +} if +} for +} { +/upd true def +} ifelse +} { +v type /dicttype eq { +v { +/dv exch def +/dk exch def +/cpddv cpdv dk get def +dv cpddv ne { +/upd true def +exit +} if +} forall +} { +/upd true def +} ifelse +} ifelse +} if +} ifelse +upd true eq { +d k v put +} if +} if +} if +} forall +d length 0 gt { +d setpagedevice +} if +} bd +/RE { % /NewFontName [NewEncodingArray] /FontName RE - + findfont dup length dict begin + { + 1 index /FID ne + {def} {pop pop} ifelse + } forall + /Encoding exch def + /FontName 1 index def + currentdict definefont pop + end +} bind def +%%EndResource +%%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0 +%%Version: 1.0 0 +%%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) +/BeginEPSF { %def +/b4_Inc_state save def % Save state for cleanup +/dict_count countdictstack def % Count objects on dict stack +/op_count count 1 sub def % Count objects on operand stack +userdict begin % Push userdict on dict stack +/showpage { } def % Redefine showpage, { } = null proc +0 setgray 0 setlinecap % Prepare graphics state +1 setlinewidth 0 setlinejoin +10 setmiterlimit [ ] 0 setdash newpath +/languagelevel where % If level not equal to 1 then +{pop languagelevel % set strokeadjust and +1 ne % overprint to their defaults. +{false setstrokeadjust false setoverprint +} if +} if +} bd +/EndEPSF { %def +count op_count sub {pop} repeat % Clean up stacks +countdictstack dict_count sub {end} repeat +b4_Inc_state restore +} bd +%%EndResource +%FOPBeginFontDict +%%IncludeResource: font Courier-Bold +%%IncludeResource: font Helvetica +%%IncludeResource: font Courier-BoldOblique +%%IncludeResource: font Courier-Oblique 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Loading some of the data + +% SS contains the parameters for convergence of the probabilistic PCA +% algorithm +load SS + +% Adds paths to cbrewer (generation of figures), graph construction +% entities, and PLS scripts (kindly shared by Daniela Zoeller, EPFL) +addpath(genpath(fullfile(pwd,'cbrewer'))); +addpath(genpath(fullfile(pwd,'01_Graph_Construction'))); +addpath(genpath(fullfile(pwd,'PLS corrado'))); + +% Do we want to plot stuff or not +is_plot = 1; + +%% 2. Extracting motion data + +% Reads the paths towards the actual motion data from the HCP +cd('Motion_Data'); +d = dir; + +% We start from index 3 to remove the ".." files from directory listing +d = d(3:end); + +% Number of subjects to consider +n_subjects = length(d); + +% Reading of the data for all subjects +for i = 1:n_subjects + try + + i + + cd(d(i).name); + cd('Motion'); + + % Reads and modifies the text file to have 594 rows and to have proper + % units, then copies it from read location to write location. + movText = textread(fullfile(pwd,'Movement_Regressors.txt')); + + %Changes degrees to radians assuming a 50mm radius + movText = movText(:,1:6); + for l = 4:6 + movText(:,l) = 50*movText(:,l); + end + + MOTION(:,:,i) = movText; + + cd('..'); + cd('..'); + + catch + warning(['Could not do it for the ',int2str(i), '. iteration.']); + continue; + end +end + +cd('..'); + +% Here, MOTION is a 1200 x 6 x 224 matrix containing the information for +% all 6 motion parameters over 1200 frames for the 224 considered subjects + +%% 3. Computing "too large movers" and flagging scrubbed time points + +% Threshold to use for scrubbing (i.e., separating the scrubbed frames from +% the non-scrubbed ones) +T_scrubbing = 0.3; + +% Computes the instantaneous motion change from a frame to the next +DeltaMot = diff(MOTION,[],1); + +% Framewise displacement over time is computed according to Power's +% definition (Power et al., NeuroImage, 2012); chose this one because it is +% the most widely known and robust across the studies I read +FD = squeeze(sum(abs(DeltaMot),2)); + +% Will contain logical vectors summarizing, across percentage scrubbed +% frames and threshold, the subects that would be discarded from the +% analyses +FD_Matrix = []; + +% Will mask which frames to keep or not to keep for a given subject +TemporalMask = {}; + +idx_a = 1; + +for T_FD = T_scrubbing + + for s = 1:n_subjects + TemporalMask{idx_a}(:,s) = (FD(:,s) > T_FD); + end + + idx_b = 1; + + for P_FD = 10:5:50 + + % Percentage of frames above a given threshold and related mover + % indices (stored in FD_Matrix) + Perc_scrub = sum(FD > T_FD,1)/size(FD,1)*100; + IDX_MOVER = (Perc_scrub > P_FD); + FD_Matrix(:,idx_a,idx_b) = IDX_MOVER; + idx_b = idx_b + 1; + end + + idx_a = idx_a + 1; +end + +clear idx_a +clear idx_b + +%% 4. Computation of meta-states for scrubbed frames +% A meta-state is defined as a combination of positive (+1), +% non-significant (0) or negative (-1) motion along all six motion +% directions. Thus, '+1 -1 0 0 -1 +1' could be an example meta-state + +% I will find the largest threshold value (that is, individual threshold +% for a given motion parameter) that enable to yield exactly no +% scrubbed frame (according to FD) with [0 0 0 0 0 0]. +idx_med = 1; + +for Median_Threshold = 3:-0.01:0.1 + + idx_med + + % Thresholding individual traces + MaskXYZABG = zeros(1199,6,n_subjects); + + % Subject index + s_index = []; + + % Thresholded params + TParams = []; + + for s = 1:n_subjects + + % Selection of time x params matrix for a subject + tmp = DeltaMot(:,:,s); + + % Thresholds (as a function of standard deviation for each trace) + THR = median(tmp) + Median_Threshold*std(tmp); + THR2 = median(tmp) - Median_Threshold*std(tmp); + + % Thresholding across all 6 parameters + for p = 1:6 + MaskXYZABG(tmp(:,p) > THR(:,p),p,s) = 1; + MaskXYZABG(tmp(:,p) < THR2(:,p),p,s) = -1; + end + + Test = MaskXYZABG(FD(:,s) > T_scrubbing,:,s); + + % Creates a vector highlighting what subject a given frame belongs + % to + s_index = [s_index;s*ones(size(Test,1),1)]; + + % TParams highlights the actual meta-state configurations of all + % retained frames + TParams = [TParams;Test]; + end + + % Counts how many of the scrubbed frames are a [0 0 0 0 0 0] + N_FN(idx_med) = sum(ismember(TParams,[0 0 0 0 0 0],'rows')); + + idx_med = idx_med + 1; +end + +% Plot of the results to select the threshold value +if is_plot + figure; + set(gcf,'color','w'); + plot(3:-0.01:0.1,N_FN/N_FN(1)*100,'color',[0.4 0.4 0.4],'LineWidth',2); + set(gca,'Box','off'); +end + +% Based on the above plot, a value of 0.38 is selected; then we just rerun +% the same computations at this one value +Median_Threshold = 0.38; + +[TParams,MaskXYZABG,s_index,t_index] = ExtractMeta(DeltaMot,T_scrubbing,Median_Threshold,n_subjects); +[Counts,Counts_total,Label,META] = Compute_MetaMetrics(TParams,MaskXYZABG,n_subjects); + +%% 5. Analyses of meta-states: "simple" metrics + +% First, in order to assess which meta-states occur more than what may be +% expected by chance, I want to generate 'null data' in which I will simply +% randomly shift parameter time courses with respect to each other + +% Number of folds +n_null = 19; + +% In each fold, I want to recreate my data for each subject with a random +% shift of data points. Then, I rerun the same computations as before, so +% that I can gather "null counts distributions" +for k = 1:n_null + + k + + Null_DM = nan(1199,6,n_subjects); + + idx_null = randi(1180,6,n_subjects); + + for p = 1:6 + for s = 1:n_subjects + tmp_data = DeltaMot(:,p,s); + Null_DM(:,p,s) = circshift(tmp_data,idx_null(p,s)); + end + end + + [TParams,MaskXYZABG,s_index,t_index] = ExtractMeta(Null_DM,T_scrubbing,Median_Threshold,n_subjects); + + [Counts_null(:,:,k),Counts_total_null(:,k)] = Compute_MetaMetrics(TParams,MaskXYZABG,n_subjects); + +end + +Counts_thresh = prctile(Counts_null,100,3); + +% Second, I want to explore which are the most occurring meta-states, as +% well as their relationship to each other + +% I want to sort the meta-states as a function of median occurrence across +% subjects (more sensitiveness to outliers) +[~,IDX_counts] = sort(median(Counts'),'descend'); + +% Top configurations in descending order +MetaStates = nan(size(META)); + +for top = 1:3^6 + MetaStates(top,:) = META(IDX_counts(top),:); +end + +% Splits between positive and negative-valued +MS_plus = MetaStates; +MS_plus(MS_plus < 0) = 0; + +MS_minus = MetaStates; +MS_minus(MS_minus > 0) = 0; +MS_minus = abs(MS_minus); + +% I want a summarizing statistic along individual directions +for p = 1:6 + Mot_plus = cumsum(MS_plus); + Mot_minus = cumsum(MS_minus); +end + +% Plotting of the results +if is_plot + + % Sorted meta states + figure; + set(gcf,'color','w'); + CM = cbrewer('div','RdBu',1000); + imagesc(MetaStates(1:50,:)); + colormap(CM); + caxis([-1.5 1.5]); + set(gca,'Box','off'); + + figure; + set(gcf,'color','w'); + CM = cbrewer('qual','Accent',6); + subplot(2,1,1); + plot([0 1],[0 1],'k--'); + hold on; + for i = 1:6 + plot((1:729)/729,Mot_plus(:,i)/243,'color',CM(i,:),'LineWidth',2); + end + + subplot(2,1,2); + plot([0 1],[0 1],'k--'); + hold on; + for i = 1:6 + plot((1:729)/729,Mot_minus(:,i)/243,'color',CM(i,:),'LineWidth',2); + end + + % Population-level counts + figure; + set(gcf,'color','w'); + bar(sum(Counts(IDX_counts,:),2)/sum(sum(Counts))*100); + + % Subject-level counts + figure; + set(gcf,'color','w'); + boxplot(Counts(IDX_counts(1:50),:)'); + + figure; + imagesc(Counts(IDX_counts,:) > Counts_thresh(IDX_counts,:)); + + figure; + plot(1:729,100*sum(Counts(IDX_counts,:) > Counts_thresh(IDX_counts,:),2)/224); +end + +%% 6. Meta-state analysis: refined metrics +% This builds upon Miller et al. 2016 (who used a meta-state analysis of +% dynamic FC time courses) to compute four metrics + +for s = 1:n_subjects + + Transitions(:,:,s) = zeros(3^6,3^6); + + % Metric 1: The transitions between states + for t = 1:1198 + + idx_start = find(ismember(META,MaskXYZABG(t,:,s),'rows')); + idx_end = find(ismember(META,MaskXYZABG(t+1,:,s),'rows')); + + Transitions(idx_start,idx_end,s) = Transitions(idx_start,idx_end) + 1; + + end + + % Metric 2: The number of states entered by a subject + n_states(s) = sum(Counts(:,s)>0); + + % Metric 3: The range occupied + + % Metric 4: Total distance traveled + D_travel(s) = sum(sum(abs(diff(MaskXYZABG(:,:,s))))); + +end + +if is_plot + + figure; + set(gcf,'color','w'); + boxplot([n_states']); + + figure; + set(gcf,'color','w'); + boxplot([D_travel']); + + figure; + set(gcf,'color','w'); + imagesc(median(Transitions,3)); + + CM = cbrewer('seq','Greys',1000); + + figure; + set(gcf,'color','w'); + imagesc(100*mean(Transitions,3)); + colormap(flipud(CM)); + caxis(100*[0 0.01]); + + tmp = 100*mean(Transitions,3); + figure; + set(gcf,'color','w'); + imagesc(tmp(IDX_counts(1:50),IDX_counts(1:50))); + + colormap(flipud(CM)); + caxis(100*[0 0.1]); +end + +TP = tmp(IDX_counts(1:50),IDX_counts(1:50)); + +figure; bar(sum(TP,2)); +figure; bar(sum(TP,1)); + +%% 7. Computing processed motion information (spatiotemporal features) + +% number of time bins that we want to split the motion data into: 6 is the +% recommended value. A range can be given (e.g., n_TB = 4:8). +n_TB = 6; + +% Number of nearest neighbours to consider for graph construction +n_NN = 10; + +% Duration of the individual bins to consider +samples_session = size(DeltaMot,1); + +% Retains only the moments of positive/negative motion change; this is to verify +% that positive and negative-valued motion moments are equally frequent +DMPos = DeltaMot; +DMPos(DMPos < 0) = NaN; + +DMNeg = DeltaMot; +DMNeg(DMNeg > 0) = NaN; + +%%%%%%%%%%%% RUNNING ACROSS TIME DIVISIONS %%%%%%%%%%%%%%% + +for n_timebins = n_TB + + % Number of samples to include in each temporal bin + dur = floor(samples_session/n_timebins); + + % Time at which we stand (in number of samples) and associated index + current_time = 1; + idx_timebin = 1; + + % To fill with the spatiotemporal information + Motion_Matrix = []; + + Motion_Matrix_Pos = []; + Motion_Matrix_Neg = []; + + % As long as we still consider a time lying within the session + % duration... + while current_time <= n_timebins * dur + + % Separately for positive and negative instantaneous changes, samples + % the data and sums + for s = 1:n_subjects + tmp_pos(s,:) = nanmean(DMPos(~TemporalMask{1}(current_time:current_time+dur-1,s),:,s)); + tmp_neg(s,:) = nanmean(abs(DMNeg(~TemporalMask{1}(current_time:current_time+dur-1,s),:,s))); + end + + for s = 1:n_subjects + + % Data for a given subject, across all 6 parameters, for + % non-scrubbed time points + tmp_nonscrubbed(s,:) = mean(abs(DeltaMot(~TemporalMask{1}(current_time:current_time+dur-1,s),:,s))); + end + + + Motion_Matrix = [Motion_Matrix,tmp_nonscrubbed]; + + % output data matrices are filled in appropriately: each column + % highlights one spatiotemporal index + + Motion_Matrix_Pos = [Motion_Matrix_Pos,tmp_pos]; + Motion_Matrix_Neg = [Motion_Matrix_Neg,tmp_neg]; + + current_time = current_time + dur; + idx_timebin = idx_timebin + 1; + end + + + % Supplementary Figure 1: motion sign compensates between positive and + % negative values across time points and motion parameters + if is_plot + figure; + set(gcf,'color','w'); + + tmp1 = mean(Motion_Matrix_Pos); + tmp2 = mean(Motion_Matrix_Neg); + + tmp1S = std(Motion_Matrix_Pos); + tmp2S = std(Motion_Matrix_Neg); + + for i = 1:n_timebins + subplot(n_timebins,1,i); + set(gca,'Box','off'); + + bar(1:12,[tmp1(1+(i-1)*6),tmp2(1+(i-1)*6),tmp1(2+(i-1)*6),tmp2(2+(i-1)*6),... + tmp1(3+(i-1)*6),tmp2(3+(i-1)*6),tmp1(4+(i-1)*6),tmp2(4+(i-1)*6),... + tmp1(5+(i-1)*6),tmp2(5+(i-1)*6),tmp1(6+(i-1)*6),tmp2(6+(i-1)*6)]); + + hold on; + + errorbar(1:12,[tmp1(1+(i-1)*6),tmp2(1+(i-1)*6),tmp1(2+(i-1)*6),tmp2(2+(i-1)*6),... + tmp1(3+(i-1)*6),tmp2(3+(i-1)*6),tmp1(4+(i-1)*6),tmp2(4+(i-1)*6),... + tmp1(5+(i-1)*6),tmp2(5+(i-1)*6),tmp1(6+(i-1)*6),tmp2(6+(i-1)*6)],... + [tmp1S(1+(i-1)*6),tmp2S(1+(i-1)*6),tmp1S(2+(i-1)*6),tmp2S(2+(i-1)*6),... + tmp1S(3+(i-1)*6),tmp2S(3+(i-1)*6),tmp1S(4+(i-1)*6),tmp2S(4+(i-1)*6),... + tmp1S(5+(i-1)*6),tmp2S(5+(i-1)*6),tmp1S(6+(i-1)*6),tmp2S(6+(i-1)*6)]); + end + + % Statistical assessment of whether, for a given spatiotemporal + % bin, positive and negative entries significantly differ + for i = 1:36 + P_posvsneg(i) = ranksum(Motion_Matrix_Pos(:,i),Motion_Matrix_Neg(:,i)); + end + end + + % At this stage, we observe that along X, there is + % significantly more elevated motion changes in the negative direction + % as compared to the positive one (across time). No significant + % differences for other cases + + %% 8. Representing mover subtypes + + % Creating a standardized version of Motion_PLS: negative values then + % highlight lower motion extent as compared to the population average, + % and vice versa for positive values + MOTION_VAR = [Motion_Matrix]; + + for i = 1:size(MOTION_VAR,2) + MOTION_VAR(:,i) = (MOTION_VAR(:,i)-mean(MOTION_VAR(:,i)))./std(MOTION_VAR(:,i)); + end + + %%%%%%%%%%%% RUNNING ACROSS KNN VALUES %%%%%%%%%%%%%%% + + % Constructing a K-nearest neighbours graph (k=10 is a typical + % starting guess in most data science problems from what I learned in my + % classes) + for knn = n_NN + + % Construction of the adjacency matrix reflecting my graph, using + % cosine distance (similar results are obtained using euclidean + % distance) + W = construct_knn_graph(MOTION_VAR,knn,'cosine'); + + % Then, I compute the first three dimensions of my new space in which I + % express my data: first I compute the normalized Laplacian of my graph, + % and second, I do an eigenvalue decomposition on this. X, Y and Z are the + % second, third and fourth eigenvectors resulting from the process + [X,Y,Z] = compute_non_linear_dim_reduction(W); + + % Of course, we want to find the optimal data parcellation, and so + % we must derive an optimal number of clusters to use. For this, we + % resort to Consensus Clustering (Monti et al., Machine learning, 2003) + [Consensus] = CAP_ConsensusClustering({[X,Y,Z]'},2:17,'items',0.8,100,'cosine'); + + % Supplementary Figure 2: consensus clustering matrices for K + % ranging from 2 to 17 + if is_plot + figure; + set(gcf,'color','w'); + + for j = 1:16 + + subplot(4,4,j); + set(gca,'Box'); + axis square + + imagesc(squeeze(Consensus(:,:,j))); + + end + end + + % Calculates the quality metrics to determine the optimal value of + % K: the inter-percentile interval (PAC) is used + [~,Lorena] = ComputeClusteringQuality(Consensus,2:17); + + if is_plot + figure; + bar(Lorena); + end + + % Based on the output metrics, the optimal cluster number is K=4 + n_clusters = 4; + + % Clustering is performed with this optimal value + [IDX,Centroids] = kmeans([X,Y,Z],n_clusters,'Distance','cosine','Replicates',10000,'Start','sample'); + + % First, I construct 3D patches to depict the degree of motion along the X, + % the Y and the Z directions in the scanner. Patches are at least 0.15 in + % length in each dimension, localized at (X(i),Y(i),Z(i)). There are six + % outputs for each subject because I specify six faces for each 3D + % rectangle + for i = 1:n_subjects + [F1{i},F2{i},F3{i},F4{i},F5{i},F6{i}] = MakePatch(X(i),Y(i),Z(i),... + (2+mean(MOTION_VAR(i,[1,7,13,19,25,31])))/150,(2+mean(MOTION_VAR(i,[1,7,13,19,25,31]+1)))/150,(2+mean(MOTION_VAR(i,[1,7,13,19,25,31]+2)))/150); + end + + % Figure 1: representation of movers in nonlinearly reduced space + % (paper figure and representation as cluster members) + if is_plot + + figure; + hold on; + + % Computation of the features to plot: + % (1) RGB color of the patches, to indicate rotational motion + Alpha = (mean(MOTION_VAR(:,[4,10,16,22,28,34]),2) - min(MOTION_VAR(:,[4,10,16,22,28,34]),[],2)); + Alpha = 3*Alpha;%/max(Alpha); + Alpha(Alpha > 1) = 1; + + Beta = (mean(MOTION_VAR(:,[4,10,16,22,28,34]+1),2) - min(MOTION_VAR(:,[4,10,16,22,28,34]+1),[],2)); + Beta = 3*Beta;%/max(Beta); + Beta(Beta > 1) = 1; + + Gamma = (mean(MOTION_VAR(:,[4,10,16,22,28,34]+2),2) - min(MOTION_VAR(:,[4,10,16,22,28,34]+2),[],2)); + Gamma = 3*Gamma;%/max(Gamma); + Gamma(Gamma > 1) = 1; + + % (2) Edge color and width, to indicate temporal evolution of + % motion + + % Creation of a matrix of regressors + for s = 1:n_subjects + + X = zeros(6,2); + X(:,1) = ones(6,1); + X(:,2) = [1;2;3;4;5;6]; + + Y = [mean(MOTION_VAR(s,1:6),2);mean(MOTION_VAR(s,7:12),2);... + mean(MOTION_VAR(s,13:18),2);mean(MOTION_VAR(s,19:24),2);... + mean(MOTION_VAR(s,25:30),2);mean(MOTION_VAR(s,31:36),2)]; + + % Solves the linear model + Beta_coefs(:,s) = pinv(X)*Y; + end + + % We want to highlight the overall linear trend of motion as a + % function of the baseline and the increase/decrease + CM_edges = cbrewer('div','PuOr',1000); + + % Computes the edge properties + Thick = Beta_coefs(2,:); + Thick = Thick/max(abs(Thick)); + + for i = 1:n_subjects + + % Computes the color of the patch + RGB = [Alpha(i),Beta(i),Gamma(i)]; + + if Thick(i) > 0 + ECol = [208/255,0,40/255]; + else + ECol = [27/255 0 161/255]; + end + + patch(F1{i}(:,1),F1{i}(:,2),F1{i}(:,3),RGB,'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F2{i}(:,1),F2{i}(:,2),F2{i}(:,3),RGB,'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F3{i}(:,1),F3{i}(:,2),F3{i}(:,3),RGB,'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F4{i}(:,1),F4{i}(:,2),F4{i}(:,3),RGB,'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F5{i}(:,1),F5{i}(:,2),F5{i}(:,3),RGB,'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F6{i}(:,1),F6{i}(:,2),F6{i}(:,3),RGB,'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + + end + + CM = cbrewer('div','RdBu',1000); + colormap(flipud(CM)); + colormap(jet); + + grid on; + xlabel('X'); + ylabel('Y'); + zlabel('Z'); + + figure; + hold on; + + for i = 1:n_subjects + + if Thick(i) > 0 + ECol = [208/255,0,40/255]; + else + ECol = [27/255 0 161/255]; + end + + patch(F1{i}(:,1),F1{i}(:,2),F1{i}(:,3),IDX(i),'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F2{i}(:,1),F2{i}(:,2),F2{i}(:,3),IDX(i),'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F3{i}(:,1),F3{i}(:,2),F3{i}(:,3),IDX(i),'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F4{i}(:,1),F4{i}(:,2),F4{i}(:,3),IDX(i),'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F5{i}(:,1),F5{i}(:,2),F5{i}(:,3),IDX(i),'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + patch(F6{i}(:,1),F6{i}(:,2),F6{i}(:,3),IDX(i),'LineWidth',realmin+9*abs(Thick(i)),'EdgeColor',ECol,'FaceAlpha',0.7,'EdgeAlpha',0.7); + + end + + CM = cbrewer('div','RdBu',1000); + colormap(flipud(CM)); + colormap(jet); + + grid on; + xlabel('X'); + ylabel('Y'); + zlabel('Z'); + end + + %% 9. Summary of motion along time and space + + % Constructs the time vector, which should have 6*n_tb entries made of + % n_timebins integers + pos_avg = zeros(1,n_timebins*6); + + for i = 1:length(pos_avg) + pos_avg(i) = mod(i-1,n_timebins)+1; + end + + % Constructs the position vector, which should have 6*n_tb entries + % made of 6 integers + t_avg = zeros(1,n_timebins*6); + + for i = 1:length(t_avg) + t_avg(i) = ceil((i-0.5)/n_timebins); + end + + % We now want to compute, for all subjects, representative values + for subj = 1:n_subjects + + % Data of the considered subject, and associated cluster index + tmp_subject = MOTION_VAR(subj,:); + + % Computing the time + for t = 1:n_timebins + Summary_time(subj,t) = mean(tmp_subject(t_avg == t)); + end + + for p = 1:6 + Summary_position(subj,p) = mean(tmp_subject(pos_avg == p)); + end + end + + % Plotting of the information appropriately + if is_plot + + figure; + set(gcf,'color','w'); + + % Along time + to_plot = []; + to_plot2 = []; + + for k = 1:n_clusters + for t = 1:n_timebins + + tmp = Summary_time(IDX == k,t); + to_plot = [to_plot,mean(tmp)]; + to_plot2 = [to_plot2,std(tmp)]; + end + end + + % Computes SEM for display + to_plot2 = to_plot2/sqrt(n_subjects); + + subplot(2,1,1); + bar(1:n_timebins*n_clusters,to_plot); + hold on; + errorbar(1:n_timebins*n_clusters,to_plot,to_plot2); + xlabel('Time x Clusters'); + + % Along space + to_plot = []; + to_plot2 = []; + + for k = 1:n_clusters + for p = 1:6 + + tmp = Summary_position(IDX == k,p); + to_plot = [to_plot,mean(tmp)]; + to_plot2 = [to_plot2,std(tmp)]; + end + end + to_plot2 = to_plot2/sqrt(n_subjects); + + subplot(2,1,2); + bar(1:6*n_clusters,to_plot); + hold on; + errorbar(1:6*n_clusters,to_plot,to_plot2); + xlabel('Space x Clusters'); + +% to_plot = []; +% to_plot2 = []; +% +% for k = 1:n_clusters +% tmp = MOTION_VAR(IDXB == k,:); +% +% to_plot = [to_plot,mean(tmp)]; +% to_plot2 = [to_plot2,std(tmp)]; +% end +% +% to_plot2 = to_plot2/sqrt(n_subjects); +% +% figure; +% set(gcf,'color','w'); +% bar(1:n_clusters*n_timebins*6,to_plot); +% hold on; +% errorbar(1:n_clusters*n_timebins*6,to_plot,to_plot2); + + end + + % Interpretation: one group of big movers, one group of + % 'translational movers', one group of 'rotational movers', one + % group of 'no movers' + + % ANOVA assessment (time x space x group) + + % Creates the variables + t_ANOVA = repmat(t_avg,1,n_subjects); + p_ANOVA = repmat(pos_avg,1,n_subjects); + + g_ANOVA = []; + Data_ANOVA = []; + + for i = 1:n_subjects + g_ANOVA = [g_ANOVA,IDX(i)*ones(1,n_timebins*6)]; + Data_ANOVA = [Data_ANOVA,MOTION_VAR(i,:)]; + end + + [~,Tab,Stats] = anovan(Data_ANOVA,{t_ANOVA',p_ANOVA',g_ANOVA'},'model','full'); + + for null = 1:1000 + tmp_idx = randperm(length(t_ANOVA)); + tmp_idx2 = randperm(length(t_ANOVA)); + + [~,Tab,Stats] = anovan(Data_ANOVA,{t_ANOVA(tmp_idx)',p_ANOVA(tmp_idx2)',g_ANOVA'},'model','full','display','off'); + Tab = Tab(:,6); + Tab_null(:,null) = [Tab{2:8}]; + end + + F_threshold = prctile(Tab_null,99,2); + + end +end + +% Conclusions at this stage: movers can be subdivided into four separate +% groups + +%% 10. Assigning from dataset two + +% For all second sessions +% for s = 1:n_subjects +% SES2_Label(s) = Mot_KNN(Motion_Matrix,IDX); +% end + + +%% 11. Comparison between scrubbing and no scrubbing metrics + +% Cluster assignments from the no scrubbing analysis will be plotted on +% reduced dimensionality data points from the scrubbing analysis + +% Takes the counts data and only keeps the top 36 +% SortedCounts = Counts(IDX_counts2(1:50),:); +% +% % Computes the graph +% W2 = construct_knn_graph(SortedCounts',10,'cosine'); +% +% [Xc,Yc,Zc] = compute_non_linear_dim_reduction(W2); +% +% [~,BBB] = pca(SortedCounts'); +% +% % Creates the color representation +% +% +figure; +scatter3(Xc,Yc,Zc,40,IDX,'filled','o'); +colormap(jet); +% +% figure; +% scatter3(BBB(:,1),BBB(:,2),BBB(:,3),40,IDX,'filled','o'); +% colormap(jet); + +%% 12. Preparation of the behavioural data + +% We want to simplify our behavioral data into explanatory variables +Output = []; + +% Loading the excel files containing the information of interest to work +% with +[~, ~, BEHAV] = xlsread('BEHAVIORAL_SHINEY.xlsx'); + +TITLE = BEHAV(1,1:end); + +% Removes the title of each SM (first row) +BEHAV = BEHAV(2:225,1:end); + +% Indices of non integer variables +idx_nn = [2,5,6]; + +% Reads through all entries to assess whether, for that variable, we +% have at least one float entry + +% Zygosity +tmp = BEHAV(:,2); +tmp2 = zeros(size(tmp,1),1); + +for i = 1:size(tmp,1) + switch tmp{i} + case 'NotTwin' + tmp2(i) = 3; + case 'MZ' + tmp2(i) = 1; + case 'NotMZ' + tmp2(i) = 2; + otherwise + disp('::::::'); + end +end + + +tmp = BEHAV(:,5); +tmp_race = zeros(size(tmp,1),1); + +for i = 1:length(tmp) + switch tmp{i} + case 'White' + tmp_race(i) = 1; + case 'Asian/Nat. Hawaiian/Othr Pacific Is.' + tmp_race(i) = 2; + case 'Am. Indian/Alaskan Nat.' + tmp_race(i) = 3; + case 'Unknown or Not Reported' + tmp_race(i) = 4; + case 'Black or African Am.' + tmp_race(i) = 5; + case 'More than one' + tmp_race(i) = 6; + otherwise + disp('::::::'); + end +end + +tmp = BEHAV(:,6); +tmp_ethn = zeros(size(tmp,1),1); + +for i = 1:length(tmp) + switch tmp{i} + case 'Hispanic/Latino' + tmp_ethn(i) = 1; + case 'Not Hispanic/Latino' + tmp_ethn(i) = 2; + case 'Unknown or Not Reported' + tmp_ethn(i) = 3; + otherwise + disp('::::::'); + end +end + +Output = [cell2mat(BEHAV(:,1)),tmp2,cell2mat(BEHAV(:,3:4)),tmp_race,tmp_ethn,cell2mat(BEHAV(:,7:end))]; + +% Normalize each column (keeping 'non-existing values') +O2 = Output - repmat(nanmean(Output,1),n_subjects,1); +O2 = O2 ./ repmat(nanstd(O2,1),n_subjects,1); + +%% 13. Conversion into a subset of components of interest + +% For each separate type of information provided in the HCP behavioral +% assessment, we will derive solely one indicative feature through +% probabilistic PCA. By this mean, we will also estimate missing entries +% for most scores (all except the ones left alone to derive a feature; +% i.e., not combined) + +% Handedness +PCA(:,1) = O2(:,7); +PCA_title{1} = 'Handedness'; + +% Education +% SSAGA_Educ, SSAGA_InSchool +[tmp_PC,tmp_CM] = Assess_PC(O2,[10,11],SS,[]); +PCA(:,2) = tmp_PC(:,1); +PCA_title{2} = 'Education'; + +% height, weight, BMI +[tmp_PC,tmp_CM] = Assess_PC(O2,[13:15],SS,[]); +PCA(:,3:4) = tmp_PC(:,1:2); +PCA_title{3} = 'BMI (bad)'; +PCA_title{4} = 'BMI (good)'; + +% Hematocrit +[tmp_PC,tmp_CM] = Assess_PC(O2,[16,17],SS,[]); +PCA(:,5) = tmp_PC(:,1); +PCA_title{5} = 'Hematocrit'; + +% Blood pressure +[tmp_PC,tmp_CM] = Assess_PC(O2,[18,19],SS,[]); +PCA(:,6) = tmp_PC(:,1); +PCA_title{6} = 'Blood pressure'; + +% Thyroid hormone +PCA(:,7) = O2(:,20); +PCA_title{7} = 'Thyroid hormone'; + +% HbA1C +PCA(:,8) = O2(:,21); +PCA_title{8} = 'HbA1C'; + +% Sleep +[tmp_PC,tmp_CM] = Assess_PC(O2,[41:47],SS,[]); +PCA(:,9) = tmp_PC(:,1); +PCA_title{9} = 'Sleep'; + +% PicSeq +[tmp_PC,tmp_CM] = Assess_PC(O2,[48,49],SS,[]); +PCA(:,10) = tmp_PC(:,1); +PCA_title{10} = 'PicSeq'; + +% CardSort +[tmp_PC,tmp_CM] = Assess_PC(O2,[50,51],SS,[]); +PCA(:,11) = tmp_PC(:,1); +PCA_title{11} = 'CardSort'; + +% Flanker +[tmp_PC,tmp_CM] = Assess_PC(O2,[52,53],SS,[]); +PCA(:,12) = tmp_PC(:,1); +PCA_title{12} = 'Flanker'; + +% PMAT +[tmp_PC,tmp_CM] = Assess_PC(O2,[54:56],SS,[]); +PCA(:,13) = tmp_PC(:,1); +PCA_title{13} = 'PMAT'; + +% ReadEng +[tmp_PC,tmp_CM] = Assess_PC(O2,[57,58],SS,[]); +PCA(:,14) = tmp_PC(:,1); +PCA_title{14} = 'ReadEng'; + +% PicVocab +[tmp_PC,tmp_CM] = Assess_PC(O2,[59,60],SS,[]); +PCA(:,15) = tmp_PC(:,1); +PCA_title{15} = 'PicVocab'; + +% Language +[tmp_PC,tmp_CM] = Assess_PC(O2,[61:66],SS,[]); +PCA(:,16:17) = tmp_PC(:,1:2); +PCA_title{16} = 'Language (math perf.)'; +PCA_title{17} = 'Language (time to reply)'; + +% PicVocab +[tmp_PC,tmp_CM] = Assess_PC(O2,[67,68],SS,[]); +PCA(:,18) = tmp_PC(:,1); +PCA_title{18} = 'ProcSpeed'; + +% DDISC +[tmp_PC,tmp_CM] = Assess_PC(O2,[69,70],SS,[]); +PCA(:,19) = tmp_PC(:,1); +PCA_title{19} = 'DDISC'; + +% VSPLOT +[tmp_PC,tmp_CM] = Assess_PC(O2,[71:73],SS,[]); +PCA(:,20:21) = tmp_PC(:,1:2); +PCA_title{20} = 'VSPLOT (OFF - Correct)'; +PCA_title{21} = 'VSPLOT (RT)'; + +% SCPT +% WARNING: the first two components are sometimes switched (due to the +% randomness inherent to pPCA); check tmp_CM (correlation between +% individual scores and the PC) +[tmp_PC,tmp_CM] = Assess_PC(O2,[74:81],SS,4); +PCA(:,22:24) = tmp_PC(:,1:3); +PCA_title{22} = 'SCPT (Performance)'; +PCA_title{23} = 'SCPT (Over-positive)'; +PCA_title{24} = 'SCPT (RT)'; + +% IWRD +[tmp_PC,tmp_CM] = Assess_PC(O2,[82,83],SS,[]); +PCA(:,25) = tmp_PC(:,1); +PCA_title{25} = 'IWRD (Bad)'; + +% ListSort +[tmp_PC,tmp_CM] = Assess_PC(O2,[84,85],SS,[]); +PCA(:,26) = tmp_PC(:,1); +PCA_title{26} = 'ListSort'; + +% WM +[tmp_PC,tmp_CM] = Assess_PC(O2,[86:89],SS,[]); +PCA(:,27) = tmp_PC(:,1); +PCA_title{27} = 'WM (Bad)'; + +% Gambling +[tmp_PC,tmp_CM] = Assess_PC(O2,[90:97],SS,6); +PCA(:,28:30) = tmp_PC(:,1:3); +PCA_title{28} = 'Gambling (Conservative)'; +PCA_title{29} = 'Gambling (Daring)'; +PCA_title{30} = 'Gambling (Bad play)'; + +% Relational +[tmp_PC,tmp_CM] = Assess_PC(O2,[98:101],SS,[]); +PCA(:,31:32) = tmp_PC(:,1:2); +PCA_title{31} = 'Relational (RT)'; +PCA_title{32} = 'Relational (Acc)'; + +% Endurance +[tmp_PC,tmp_CM] = Assess_PC(O2,[102,103],SS,[]); +PCA(:,33) = tmp_PC(:,1); +PCA_title{33} = 'Endurance'; + +% Gait speed +PCA(:,34) = O2(:,104); +PCA_title{34} = 'Gait speed'; + +% Dexterity +[tmp_PC,tmp_CM] = Assess_PC(O2,[105,106],SS,[]); +PCA(:,35) = tmp_PC(:,1); +PCA_title{35} = 'Dexterity'; + +% Strength +[tmp_PC,tmp_CM] = Assess_PC(O2,[107,108],SS,[]); +PCA(:,36) = tmp_PC(:,1); +PCA_title{36} = 'Strength'; + +% Emotion (global) +[tmp_PC,tmp_CM] = Assess_PC(O2,[109,110],SS,[]); +PCA(:,37) = tmp_PC(:,1); +PCA_title{37} = 'ER40 (Correct - RT)'; + +% Emotion +[tmp_PC,tmp_CM] = Assess_PC(O2,[111:115],SS,[]); +PCA(:,38) = tmp_PC(:,1); +PCA_title{38} = 'ER40 (Response to sad)'; + +% Negative emotions +[tmp_PC,tmp_CM] = Assess_PC(O2,[116:121],SS,[]); +PCA(:,39) = tmp_PC(:,1); +PCA_title{39} = 'Negative emotions'; + +% Positive emotion +[tmp_PC,tmp_CM] = Assess_PC(O2,[122:124],SS,[]); +PCA(:,40) = tmp_PC(:,1); +PCA_title{40} = 'Positive emotions'; + +% Feeling of being supported +[tmp_PC,tmp_CM] = Assess_PC(O2,[125:130],SS,[]); +PCA(:,41) = tmp_PC(:,1); +PCA_title{41} = 'Support'; + +% Stress/efficacy +[tmp_PC,tmp_CM] = Assess_PC(O2,[131,132],SS,[]); +PCA(:,42) = tmp_PC(:,1); +PCA_title{42} = 'Self efficacy - Stress'; + +% Emotion task +[tmp_PC,tmp_CM] = Assess_PC(O2,[135:138],SS,[]); +PCA(:,43:44) = tmp_PC(:,1:2); +PCA_title{43} = 'Emotion task (RT)'; +PCA_title{44} = 'Emotion task (Acc)'; + +% ToM +[tmp_PC,tmp_CM] = Assess_PC(O2,[139:144],SS,[]); +PCA(:,45) = tmp_PC(:,1); +PCA_title{45} = 'ToM (Bad)'; + +% Noise +PCA(:,46) = O2(:,145); +PCA_title{46} = 'Noise'; + +% Odor +[tmp_PC,tmp_CM] = Assess_PC(O2,[146,147],SS,[]); +PCA(:,47) = tmp_PC(:,1); +PCA_title{47} = 'Odor'; + +% Pain Intensity +[tmp_PC,tmp_CM] = Assess_PC(O2,[148,149],SS,[]); +PCA(:,48) = tmp_PC(:,1); +PCA_title{48} = 'Pain intensity'; + +% Taste +[tmp_PC,tmp_CM] = Assess_PC(O2,[150,151],SS,[]); +PCA(:,49) = tmp_PC(:,1); +PCA_title{49} = 'Taste'; + +% Mars +[tmp_PC,tmp_CM] = Assess_PC(O2,[152:154],SS,[]); +PCA(:,50) = tmp_PC(:,1); +PCA_title{50} = 'Mars'; + +% NEOFAC +[tmp_PC,tmp_CM] = Assess_PC(O2,[155:159],SS,[]); +PCA(:,51:52) = tmp_PC(:,1:2); +PCA_title{51} = 'NEOFAC (Introverted)'; +PCA_title{52} = 'NEOFAC (Daring)'; + +% Anxiety +[tmp_PC,tmp_CM] = Assess_PC(O2,[160,161,184,185],SS,[]); +PCA(:,53) = tmp_PC(:,1); +PCA_title{53} = 'Anxiety'; + +% Withdrawal +[tmp_PC,tmp_CM] = Assess_PC(O2,[162,163],SS,[]); +PCA(:,54) = tmp_PC(:,1); +PCA_title{54} = 'Withdrawal'; + +% Somatic +[tmp_PC,tmp_CM] = Assess_PC(O2,[164,165,186,187],SS,[]); +PCA(:,55) = tmp_PC(:,1); +PCA_title{55} = 'Somatic problems'; + +% Thought problems +[tmp_PC,tmp_CM] = Assess_PC(O2,[166,167],SS,[]); +PCA(:,56) = tmp_PC(:,1); +PCA_title{56} = 'Thought problems'; + +% Attention problems +[tmp_PC,tmp_CM] = Assess_PC(O2,[168,169],SS,[]); +PCA(:,57) = tmp_PC(:,1); +PCA_title{57} = 'Attention problems'; + +% Aggressiveness +[tmp_PC,tmp_CM] = Assess_PC(O2,[170,171],SS,[]); +PCA(:,58) = tmp_PC(:,1); +PCA_title{58} = 'Aggressiveness'; + +% Rule breaking +[tmp_PC,tmp_CM] = Assess_PC(O2,[172,173],SS,[]); +PCA(:,59) = tmp_PC(:,1); +PCA_title{59} = 'Rule breaking'; + +% Intrusive +[tmp_PC,tmp_CM] = Assess_PC(O2,[174,175],SS,[]); +PCA(:,60) = tmp_PC(:,1); +PCA_title{60} = 'Intrusive'; + +% Internalizing +[tmp_PC,tmp_CM] = Assess_PC(O2,[176,177],SS,[]); +PCA(:,61) = tmp_PC(:,1); +PCA_title{61} = 'Internalizing'; + +% Externalizing +[tmp_PC,tmp_CM] = Assess_PC(O2,[178,179],SS,[]); +PCA(:,62) = tmp_PC(:,1); +PCA_title{62} = 'Externalizing'; + +% Avoidance +[tmp_PC,tmp_CM] = Assess_PC(O2,[188,189],SS,[]); +PCA(:,63) = tmp_PC(:,1); +PCA_title{63} = 'Avoidance'; + +% ADHD +[tmp_PC,tmp_CM] = Assess_PC(O2,[190,191],SS,[]); +PCA(:,64) = tmp_PC(:,1); +PCA_title{64} = 'ADHD'; + +% Inattention +PCA(:,65) = O2(:,192); +PCA_title{65} = 'Inattention'; + +% Hyperresponsiveness +PCA(:,66) = O2(:,193); +PCA_title{66} = 'Hyperresponsiveness'; + +% ADHD +[tmp_PC,tmp_CM] = Assess_PC(O2,[194,195],SS,[]); +PCA(:,67) = tmp_PC(:,1); +PCA_title{67} = 'Antisocial'; + +% Alcohol +[tmp_PC,tmp_CM] = Assess_PC(O2,[199:205],SS,[]); +PCA(:,68) = tmp_PC(:,1); +PCA_title{68} = 'Alcohol'; + +% Tobacco +[tmp_PC,tmp_CM] = Assess_PC(O2,[206:209],SS,[]); +PCA(:,69) = tmp_PC(:,1); +PCA_title{69} = 'Tobacco'; + +% Tobacco +[tmp_PC,tmp_CM] = Assess_PC(O2,[210:216],SS,[]); +PCA(:,70) = tmp_PC(:,1); +PCA_title{70} = 'Drugs'; + +% At this stage, we have reduced the dimensionality of each of our behavioral +% variable type of interest + +%% 14. Further processing of the obtained data + +% Some individual variables have been kept without undergoing PPCA; in such +% a case, we want to keep only the ones with few NaN entries + +%%%% STEP 1 + +% We want to remove the columns that are no good (too many Nans) +T_nan = 5; + +% Scores to remove +idx_toremove = []; + +for SM = 1:size(PCA,2) + + tmp = PCA(:,SM); + + if sum(isnan(tmp)) > T_nan + idx_toremove = [idx_toremove,SM]; + end + +end + +PCA(:,idx_toremove) = []; +PCA_title(idx_toremove) = []; + + + +%%%% STEP 2 + +% Remove AM if max(y) > 100*mean(y) with (y) = (x - med(x))^2 +idx_toremove = []; + +for SM = 1:size(PCA,2) + tmp = PCA(:,SM); + + y = (tmp-median(tmp)).^2; + + if max(y) > 100 * mean(y) + idx_toremove = [idx_toremove,SM]; + end +end + +PCA(:,idx_toremove) = []; +PCA_title(idx_toremove) = []; + + +%%%% STEP 3 + +% Remove if more than 95% of subjects show the same value +idx_toremove = []; + +for SM = 1:size(PCA,2) + tmp = PCA(:,SM); + + if sum(unique(tmp)) <= 11 + idx_toremove = [idx_toremove,SM]; + end +end + +PCA(:,idx_toremove) = []; +PCA_title(idx_toremove) = []; + + +%%%% STEP 4 + +% Rank-based inverse Gaussian transformation +for SM = 1:size(PCA,2) + rank = tiedrank(PCA(:,SM)); + p = rank / ( length(rank) + 1 ); %# +1 to avoid Inf for the max point + PCA(:,SM) = norminv( p, 0, 1 ); +end + +% Number of missing values +P_missing = sum(sum(isnan(PCA)))/size(PCA,1)/size(PCA,2)*100; + + +%% 15. Univariate assessment of the derived anthropomorphic and +% behavioral features link to motion + +% We compute the Fisher score (and related null distribution when shuffling +% behvior and motion entries with respect to each other) for each feature +% of interest +[F,Fnull] = MOT_LinkBehavMotion(PCA,IDX); + +% Bonferroni correction for the number of univariate assessments and +% subsequent derivation of significance thresholds +alpha = 5/size(PCA,2); +Fthresh = squeeze(prctile(Fnull,100-alpha,2)); + +% Another attempt using the proposal by Holmes and Nichols (Human Brain +% Mapping, 2001). We compute a distribution based on the max of each score +% null distribution and then, threshold that at 5% +tmp_F = max(Fnull,[],2); +F_Holmes = prctile(tmp_F,100-alpha); + +% Plotting of univariate results +figure; +bar(F); + +hold on; + +for i = 1:size(PCA,2) + plot([i-0.4,i+0.4],[Fthresh(i),Fthresh(i)],'color',[0.3 0.3 0.3],'LineWidth',1.5); + %plot([i-0.4,i+0.4],[F_Holmes,F_Holmes],'color',[0.6 0.6 0.6],'LineWidth',1.5); +end + +% Indices of the significant variables +idx_uni = [2,3,4,6]; + +% For each, post-hoc comparison across groups +for i = 1:length(idx_uni) + + tmp = PCA(:,idx_uni(i)); + + p_12(i) = ranksum(tmp(IDX == 1),tmp(IDX == 2)); + p_13(i) = ranksum(tmp(IDX == 1),tmp(IDX == 3)); + p_14(i) = ranksum(tmp(IDX == 1),tmp(IDX == 4)); + p_23(i) = ranksum(tmp(IDX == 2),tmp(IDX == 3)); + p_24(i) = ranksum(tmp(IDX == 2),tmp(IDX == 4)); + p_34(i) = ranksum(tmp(IDX == 3),tmp(IDX == 4)); + + Delta_12(i) = nanmean(tmp(IDX == 1)) - nanmean(tmp(IDX == 2)); + Delta_13(i) = nanmean(tmp(IDX == 1)) - nanmean(tmp(IDX == 3)); + Delta_14(i) = nanmean(tmp(IDX == 1)) - nanmean(tmp(IDX == 4)); + Delta_23(i) = nanmean(tmp(IDX == 2)) - nanmean(tmp(IDX == 3)); + Delta_24(i) = nanmean(tmp(IDX == 2)) - nanmean(tmp(IDX == 4)); + Delta_34(i) = nanmean(tmp(IDX == 3)) - nanmean(tmp(IDX == 4)); + +end + +% Conclusion at this stage: we find significant differences between the +% "large movers" and the "low movers" clusters with univariate analysis. In +% each case, the larger movers will show worse BMI, higher blood pressure, +% and lower endurance abilities + +%% 16. Combination of both sides with PLS + +clear MOTION_VAR_trim +clear PCA_trim +clear X0 +clear Y0 +clear nSub +clear Y +clear X +clear R +clear U +clear S +clear V +clear Lx +clear perm_order +clear Xp +clear Yp +clear Rp +clear Up +clear Vp +clear Sp +clear rotatemat +clear permsamp +clear Lxp +clear sp +clear Xb +clear Yb +clear Sb +clear Vb +clear Ub +clear Ub_vect +clear Vb_vect + +n_top = 2; + +% Because we still had a small amount of NaN entries left, concerned +% subjects are removed prior to PLS +MOTION_VAR_trim = [D_travel',n_states']; +MOTION_VAR_trim(isnan(sum(PCA,2)),:) = []; + +PCA_trim = PCA; +PCA_trim(isnan(sum(PCA,2)),:) = []; + +Y0 = PCA_trim; +X0 = MOTION_VAR_trim; + +% Number of subjects in the PLS +nSub = size(PCA_trim,1); + +% normalization of X and Y +Y=myPLS_norm(Y0,1,ones(1,nSub),2); +X=myPLS_norm(X0,1,ones(1,nSub),2); + +% Number of permutations to carry on to determine significant components +NUM_PERMS=10000; + +% Number of times to bootstrap the data on +NUM_BOOTSTRAP=1000; + +% Number of behavioral scores +NUM_BEHAV_SCORES = size(Y0,2); + +% Covariance matrix computation +R=myPLS_cov(X,Y,1,ones(1,nSub)); + +% SVD on the covariance matrix +[U,S,V]=svd(R,'econ'); + +% We get the unitary basis in both sides and singular values, which give +% the weight of each singular component + +% Number of latent variables +NUM_LVs=min(size(S)); + +% ICA convention: turn LVs such that max is positive +for iLV=1:NUM_LVs + [~,maxID] = max(abs(U(:,iLV))); + if U(maxID,iLV)<0 + U(:,iLV)=-U(:,iLV); + V(:,iLV)=-V(:,iLV); + end +end + +% Latent variables (for motion parameters) +Lx=X*V; + +% Permutation measures +fprintf('Permutation: '); + +for iter=1:10000 + + fprintf('%d ',iter); + + if ~mod(iter,20) + fprintf('\n'); + end + + % How to randomize the data + perm_order=randperm(size(X,1)); + + % Permuted motion data (untouched) + Xp=X; + + % Permuted behavior data (shuffled) + Yp=Y0(perm_order,:); + + % Renormalization + Yp=myPLS_norm(Yp,1,ones(1,nSub),2); + + % "Null" correlation matrix and SVD + Rp=myPLS_cov(Xp,Yp,1,ones(1,nSub)); + [Up,Sp,Vp]=svd(Rp,'econ'); + + % Procrustes transform to fit the new U (permuted) to the old one, as + % well as the singular values + rotatemat = rri_bootprocrust(U, Up); + Up = Up * Sp * rotatemat; + Sp = sqrt(sum(Up.^2)); + + % There can be changes of order so Procrustes needed; now it tells us + % how things must be reordered (high-dimensionally) but how does it + % impact singular values? + % The trick is ti incorporate the singular values linked to noz yet + % roated basis to the rotation, and recalculate the singular values + % afterwards + + % Current null singular values are stored + permsamp(:,iter)=Sp'; + + % sp contains whether the current singular value exceeds the actual one + % (real one) + if iter==1 + sp= (Sp'>=diag(S)); + else + sp = sp + (Sp'>=diag(S)); + end + + % Computation of permuted latent variable + Lxp=X*Vp; + +end + +fprintf('\n'); + +% The larger the sprob entries, the larger the p-value +sprob = sp ./ (NUM_PERMS + 1); + +% Plots a summarising figure +fig=figure('Position',[508,524,327,266]); +plot(diag(S),'ko-'); +xlabel('Latent variables'); +ylabel('Singular value'); +hold on; +errorbar(1:NUM_LVs,mean(permsamp,2),std(permsamp,[],2),'r-'); +legend({'observed','surrogates'}); +for iter=1:NUM_LVs + str{iter}=sprintf('%d (p=%5.4f)',iter,sprob(iter)); + fprintf('LV%s\n',str{iter}); +end +axis([0.8 NUM_LVs+.2 0 max(diag(S))*1.2]); +set(gca,'XTick',1:NUM_LVs,'XTickLabel',str); +hold off; + +% Computes the indices to use for bootstrapping (with replacement) +[boot_order]=rri_boot_order(nSub,1,1000); + +% Runs across bootstrapping folds +for iter=1:1000 + + fprintf('%d ',iter); + if ~mod(iter,20) + fprintf('\n'); + end + + % Takes bootstrapped motion data and normalizes it + Xb=X0(boot_order(:,iter),:); + Xb=myPLS_norm(Xb,1,ones(1,nSub),2); + + % Same for behavior + Yb=Y0(boot_order(:,iter),:); + Yb=myPLS_norm(Yb,1,ones(1,nSub),2); + + % Accordingly, computes R and the SVD + Rb=myPLS_cov(Xb,Yb,1,ones(1,nSub)); + [Ub,Sb,Vb]=svd(Rb,'econ'); + + % Procrustes transform as before to generate fitting U and V + % bootstrapped variants + rotatemat = rri_bootprocrust(U, Ub); + rotatemat2 = rri_bootprocrust(V, Vb); + + % Full rotation + Rot_full = (rotatemat + rotatemat2)/2; + + Vb = Vb * Rot_full; + Ub = Ub * Rot_full; + + % Saves them all + Ub_vect(iter,:,:) = Ub; + Vb_vect(iter,:,:) = Vb; +end + +%% 17. PLS-related plots +% Here, we plot the results of the PLS analysis + +% Type of results to plot (between scrubbing ones or non-scrubbing ones) +type = 'Other'; + +switch type + + % If we consider the scrubbing case, then we want to plot + % representations of the dominating motion parameter + case 'Scrub' + + % First, we need to convert our full space into a summarized view + for j = 1:6 + + % Summary variable for meta-states + Sumvar_MS(j,:) = [V(:,j)' * MS_plus(1:n_top,:), V(:,j)' * MS_minus(1:n_top,:)]; + + % Same process on botstrapped data + for k = 1:1000 + Sumvar_MS_boot(j,:,k) = [squeeze(Vb_vect(k,:,j)) * MS_plus(1:n_top,:), squeeze(Vb_vect(k,:,j)) * MS_minus(1:n_top,:)]; + end + + % Computes standard deviation + U_STD = squeeze(std(Ub_vect,[],1)); + V_STD = squeeze(std(Sumvar_MS_boot,[],3)); + + % Computes z-scores + V_z = Sumvar_MS./V_STD; + U_z = U./U_STD; + + if is_plot + + figure; + set(gcf,'color','w'); + bar(1:size(U,1),U_z(:,j)); + + figure; + set(gcf,'color','w'); + bar(1:12,V_z(j,:)); + + end + + end + + case 'Nonscrub' + + + % For all four first components, plots the spatiotemporal motion and the + % behavioral weights (PCs 1, 3 and 4 are significant) + % For the same components, also plots the linearly reduced spatiotemporal data + % with color as the PLS behavioral scores + idx_togetout = find(isnan(sum(PCA,2))); + + % Trims the patches data to exclude subjects for whom NaN behavioral scores remain + F1b = F1; + F2b = F2; + F3b = F3; + F4b = F4; + F5b = F5; + F6b = F6; + + F1b(idx_togetout) = []; + F2b(idx_togetout) = []; + F3b(idx_togetout) = []; + F4b(idx_togetout) = []; + F5b(idx_togetout) = []; + F6b(idx_togetout) = []; + + % Latent scores for behaviors for the subjects (how strongly a component is + % expressed in a subject) + Ly = Y*U; + + for j = 1:6 + + % Computing the time and space indices for my 36 values + for t = 1:n_timebins + Summary_time_PLS(j,t) = mean(V(t_avg == t,j)); + end + + for p = 1:6 + Summary_position_PLS(j,p) = mean(V(pos_avg == p,j)); + end + + for k = 1:1000 + + + for t = 1:n_timebins + Summary_time_boot(j,t,k) = mean(Vb_vect(k,t_avg == t,j)); + end + + for p = 1:6 + Summary_position_boot(j,p,k) = mean(Vb_vect(k,pos_avg == p,j)); + end + end + + % Computes standard deviation + U_STD = squeeze(std(Ub_vect,[],1)); + V_STDt = squeeze(std(Summary_time_boot,[],3)); + V_STDs = squeeze(std(Summary_position_boot,[],3)); + + % Computes z-scores + V_z = Sumvar_MS./V_STD; + U_z = U./U_STD; + + + end + + if is_plot + + figure; + set(gcf,'color','w'); + bar(1:size(U,1),U_z(:,j)); + + figure; + set(gcf,'color','w'); + bar(1:12,V_z(j,:)); + + + figure; + hold on; + + for i = 1:nSub + patch(F1b{i}(:,1),F1b{i}(:,2),F1b{i}(:,3),Ly(i,j)); + patch(F2b{i}(:,1),F2b{i}(:,2),F2b{i}(:,3),Ly(i,j)); + patch(F3b{i}(:,1),F3b{i}(:,2),F3b{i}(:,3),Ly(i,j)); + patch(F4b{i}(:,1),F4b{i}(:,2),F4b{i}(:,3),Ly(i,j)); + patch(F5b{i}(:,1),F5b{i}(:,2),F5b{i}(:,3),Ly(i,j)); + patch(F6b{i}(:,1),F6b{i}(:,2),F6b{i}(:,3),Ly(i,j)); + end + + CM = cbrewer('div','RdBu',100); + colormap(flipud(CM)); + caxis([-7,7]); + + grid on; + xlabel('X'); + ylabel('Y'); + zlabel('Z'); + + + % For each component, also plots a "text representation" along a z-score + % axis (similar to Smith et al. 2015) + PlotSmith(PCA_title,(U_z(:,1)),[3 30],3); + PlotSmith(PCA_title,(U_z(:,2)),[3 15],3); + PlotSmith(PCA_title,(U_z(:,3)),[3 15],3); + PlotSmith(PCA_title,(U_z(:,4)),[3 15],3); + end + + otherwise + + % Computes standard deviation + U_STD = squeeze(std(Ub_vect,[],1)); + V_STD = squeeze(std(Vb_vect,[],1)); + + % Computes z-scores + V_z = V./V_STD; + U_z = U./U_STD; + + if is_plot + + for j = 1:n_top + figure; + set(gcf,'color','w'); + bar(1:size(U,1),U_z(:,j)); + + figure; + set(gcf,'color','w'); + bar(1:size(V,1),V_z(:,j)); + end + end +end + +%% 18. Post.hoc exploration of discussion hypotheses + +% Component 2 for scrubbing clearly relates to motion +for i = 1:6 + tmp1 = sum(abs(squeeze(MaskXYZABG(:,i,:)))); + tmp1(isnan(sum(PCA,2))) = []; + + for j = 1:2 + [R(i,j),p_val(i,j)] = corr(Lx(:,j),tmp1','type','Spearman'); + end + + figure; + plot(Lx(:,1),tmp1,'k.'); + + figure; + plot(Lx(:,2),tmp1,'k.'); +end + +p_val = p_val*12; + + +% Handedness and the X-axis bias +tmp1 = sum(Counts(IDX_counts(1:300),:)); +tmp1(isnan(sum(PCA,2))) = []; +HAND = O2(:,7); +HAND(isnan(sum(PCA,2))) = []; + +figure; +plot(HAND,tmp1,'k.'); + +A = mean(Counts(:,HAND > 0),2); +B = mean(Counts(:,HAND < 0),2); +