ADSP PCA: Difference between revisions

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t-Distributed Stochastic Neighbor Embedding (tSNE) is a technique like PCA that allows one perform dimensionality reduction for visualization purposes. Supposedly tSNE does better than PCA at revealing clusters in high-dimensional data. Whereas PCA only allows you to visualize two or three components directly against each at the same time -- tSNE uses math magic to coerce a high-dimensional dataset into either a 2D or 3D array.
PCA is a numerical transformation that performs dimensionality reduction, often for data visualization purposes. Like tSNE, PCA helps revealing clusters in high-dimensional data. PCA allows you to visualize two or three components directly against each at the same time.


{{SmallBox|float=right|clear=none|margin=0px 0px 8px 18px|width=170px|font-size=13px|Other Analyses|txt-size=11px|
{{SmallBox|float=right|clear=none|margin=0px 0px 8px 18px|width=170px|font-size=13px|Other Analyses|txt-size=11px|
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5. [[ADSP Stats|Descriptive Statistics]]<br>
5. [[ADSP Stats|Descriptive Statistics]]<br>
}}
}}
t-SNE models each multi-dim object against a point on a euclidean surface in such a way that similar features are modeled by nearby point functions and dissimilar features are modeled by distant point functions. It then projects these points onto the plane allowing you visualize, what would effectively be, all the interesting principal component combinations - the ones that yield unique clusters - simultaneously.
Again, this code can be downloaded from the: [https://github.com/subroutines/genos GENOS GIT]


<br> <br> <br>
<br> <br> <br>


==t-SNE Code==
==PCA Code==
----
----
<br><br>
<br><br>
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<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
% ######################################################################
% ######################################################################
%%       tSNE : t-Distributed Stochastic Neighbor Embedding
%%               PRINCIPAL COMPONENTS ANALYSIS
% ######################################################################
% ######################################################################
clc; close all; clear; rng('shuffle')
clc; close all; clear; rng('shuffle')
cd(fileparts(which('GENOS.m')));
cd(fileparts(which('GENOS.m')));
Line 62: Line 60:


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL
clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL




Line 188: Line 180:


%% TAKE THE TOP N NUMBER OF VARIANTS
%% TAKE THE TOP N NUMBER OF VARIANTS
N = 100;
N = 50;




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%######################################################################
%%      PCA : PRINCIPAL COMPONENTS ANALYSIS
%######################################################################
ss = statset('pca')
ss.Display = 'iter';
ss.MaxIter = 100;
ss.TolFun = 1e4;
ss.TolX = 1e4;
ss.UseParallel = true;
% 'NumComponents',5,  'Algorithm','eig', Elapsed time is 70.459438 seconds.
% [PCAC,PCAS,PCAlatent,PCAtsquared,PCAE] = pca(  PCAMX' ,'Options',ss);




%% (OPTIONAL) PRE-PERFORM PCA BEFORE TSNE
% PCAMX(PCAMX>0) = 1;


% ss = statset('pca');
[PCAC,PCAS,~,~,PCAE] = pca(  PCAMX' , 'Options',ss);
% ss.Display = 'iter';
% ss.MaxIter = 100;
% ss.TolFun = 1e4;
% ss.TolX = 1e4;
% ss.UseParallel = true;
%
% [PCAC,PCAS,~,~,~] = pca(  PCAMX' , 'Options',ss);
% clc; close all; scatter(PCAC(:,1),PCAC(:,2))
%
% % ...,'NumPCAComponents',0,...  means don't use PCA
% tSN = tsne(PCAC(:,1:10),'NumDimensions',2,'Theta',.6,'NumPCAComponents',0);
%
% clearvars -except ADSP GENB LOCI CASE CTRL PHEN AMX AMXCASE AMXCTRL...
% PHE ADNN PCAMX tSN PCAC PCAS




clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL ADNN PCAMX PCAC PCAS PCAE 








%######################################################################
%%      tSNE : t-Distributed Stochastic Neighbor Embedding
%######################################################################






tSN = tsne(PCAMX,'NumDimensions',2,'Theta',.6,'NumPCAComponents',8);
%% RECONSTRUCT ORIGINAL DATA (OPTIONAL TEST)
 
 
 
% MEAN DEVIATE (CENTER) DATA
mu = mean(PCAMX);
Xi = bsxfun(@minus,PCAMX,mu);
 
 
% Reconstruct the centered data
Xj = PCAS*PCAC';
 
% Reconstruct original data
PCAMX_REDUX = round(Xj' + mu);




disp('done')
clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
clearvars -except ADSP GENB LOCI CASE CTRL PHEN AMX AMXCASE AMXCTRL...
AMX AMXCASE AMXCTRL ADNN PCAMX PCAC PCAS PCAE PCAMX_REDUX
PHE ADNN PCAMX tSN PCAC PCAS
</syntaxhighlight>
</syntaxhighlight>


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==t-SNE Plots==
==PCA Plots==
----
----
<br><br>
<br><br>


====ALL PCs in 1D====
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT PCA --- ALL PCs IN 1D -------------------------------------
clc; close all;
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .9 .8],'Color','w');
hax1 = axes('Position',[.08 .08 .40 .80],'Color','none');
hax2 = axes('Position',[.56 .08 .40 .80],'Color','none');
Tx = PHE.COHORTNUM;
Tn = unique(Tx);
Ts = 'Cohort';
% axes(hax1); colormap(hax1, (prism(max(Tn))) );
axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
ph1 = scatter( (1:numel(PCAC(:,1))).*0+1  , PCAC(:,1),50, Tx,'o');
hold on
ph2 = scatter( (1:numel(PCAC(:,2))).*0+2  , PCAC(:,2),50, Tx,'o');
hold on
ph3 = scatter( (1:numel(PCAC(:,3))).*0+3  , PCAC(:,3),900, Tx,'.');
hold on
ph4 = scatter( (1:numel(PCAC(:,4))).*0+4  , PCAC(:,4),900, Tx,'.');
hold on
ph5 = scatter( (1:numel(PCAC(:,5))).*0+5  , PCAC(:,5),900, Tx,'.');
hax1.XLim = [0 6];
text(1,max(ph1.YData),sprintf(['explains: \n ' num2str(round(PCAE(1),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);
text(2,max(ph2.YData),sprintf(['explains: \n ' num2str(round(PCAE(2),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);
text(3,max(ph3.YData),sprintf(['explains: \n ' num2str(round(PCAE(3),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);
text(4,max(ph4.YData),sprintf(['explains: \n ' num2str(round(PCAE(4),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);
text(5,max(ph5.YData),sprintf(['explains: \n ' num2str(round(PCAE(5),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);
xlabel('\bf PCA1 - PCA5');ylabel('\bf Eigenvector Coefficients');
cb=colorbar('Ticks',unique(Tx),'TickLabels',(unique(Tx)),'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 18; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';








====ALZHEIMER'S STATUS====
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT TSNE --- ALZHEIMER'S STATUS (CASE/CTRL) --------------------------
close all;
fh1=figure('Units','normalized','Position',[.05 .05 .70 .84],'Color','w');
ax1=axes('Position',[.05 .02 .9 .9],'Color','none');


ph1 = gscatter(tSN(:,1),tSN(:,2),  PHE.AD, [],'.',15);
axes(hax2); colormap(hax2, (prism(max(Tn))) );
 
ph1 = scatter( (1:numel(PCAC(:,1))).*0+1  , PCAC(:,1),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph2 = scatter( (1:numel(PCAC(:,2))).*0+2  , PCAC(:,2),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph3 = scatter( (1:numel(PCAC(:,3))).*0+3 , PCAC(:,3),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph4 = scatter( (1:numel(PCAC(:,4))).*0+4  , PCAC(:,4),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph5 = scatter( (1:numel(PCAC(:,5))).*0+5  , PCAC(:,5),50, Tx,'o','MarkerEdgeAlpha',.02);


title({'\fontsize{16} t-SNE : CASE vs CTRL',' '})
hax2.XLim = [0 6];
legend(ph1,{'CTRL','CASE'},'FontSize',12,'Box','off','Location','NorthWest');
axis off
</syntaxhighlight>
</syntaxhighlight>


<big>Top 100 variants</big>
<big>Top 50 variants</big>
[[File: TSNE Case Control.png|800px]]
[[File: PCA 1D 50vars.png|800px]]


<big>Top 2000 variants</big>
<big>Top 2000 variants</big>
[[File: TSNE Case Control 2kvars.png|800px]]
[[File: PCA 1D 2000vars.png|800px]]




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====STUDY COHORT====
====ALZHEIMER'S STATUS====
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT TSNE --- CONSORTIUM STUDY COHORT (1:24) -------------------------
%% PLOT PCA --- CASE-vs-CTRL ------------------------------------------
close all;  
clc; close all;
fh1=figure('Units','normalized','Position',[.05 .05 .70 .84],'Color','w');
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
ax1=axes('Position',[.05 .02 .9 .9],'Color','none');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');
 
 
Tx = PHE.AD;
Tn = unique(Tx);
Ts = 'CASE-vs-CTRL';
 
 
axes(hax1); colormap(hax1, (lines(max(Tn)+1)) );
ph1 = scatter(PCAC(:,1), PCAC(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');


ph1 = gscatter(tSN(:,1),tSN(:,2), PHE.COHORT, [],'.',15);
cb=colorbar('Ticks',Tn,'TickLabels',Tn,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';




title({'\fontsize{16} t-SNE : STUDY COHORT',' '})
axes(hax2); colormap(hax2, (lines(max(Tn)+1)) );
% legend(ph1,{'CTRL','CASE'},'FontSize',12,'Box','off','Location','NorthWest');
ph2 = scatter3(PCAC(:,1), PCAC(:,2), PCAC(:,3),500, Tx,'.');
axis off
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])
</syntaxhighlight>
</syntaxhighlight>


<big>Top 100 variants</big>
<big>Top 50 variants</big>
[[File: TSNE Study Cohort.png|800px]]
[[File: PCA 2D 3D CASE CTRL 50vars.png|800px]]


<big>Top 2000 variants</big>
<big>Top 2000 variants</big>
[[File: TSNE Study Cohort 2kvars.png|800px]]
[[File: PCA 2D 3D CASE CTRL 2000vars.png|800px]]
 








====SEX====
 
 
====STUDY COHORT====
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT TSNE --- SEX (M/F) ----------------------------------------------
%% PLOT PCA --- COHORT ------------------------------------------
close all;  
clc; close all;
fh1=figure('Units','normalized','Position',[.05 .05 .70 .84],'Color','w');
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
ax1=axes('Position',[.05 .02 .9 .9],'Color','none');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');


ph1 = gscatter(tSN(:,1),tSN(:,2),  PHE.SEX, [],'.',15);


Tx = PHE.COHORTNUM;
Tn = unique(Tx);
Ts = 'Cohort';


title({'\fontsize{16} t-SNE : SEX',' '})
legend(ph1,{'Male','Female'},'FontSize',12,'Box','off','Location','NorthWest');
axis off
</syntaxhighlight>


<big>Top 100 variants</big>
axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
[[File: TSNE Sex.png|800px]]
ph1 = scatter(PCAC(:,1), PCAC(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');
 
cb=colorbar('Ticks',Tn,'TickLabels',Tn,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';


<big>Top 2000 variants</big>
[[File: TSNE Sex 2kvars.png|800px]]


axes(hax2); colormap(hax2, flipud(jet(max(Tn))) );
ph2 = scatter3(PCAC(:,1), PCAC(:,2), PCAC(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])
</syntaxhighlight>


<big>Top 50 variants</big>
[[File: PCA 2D 3D Cohort 50vars.png|800px]]


<big>Top 2000 variants</big>
[[File: PCA 2D 3D Cohort 2000vars.png|800px]]


====AGE====
====AGE====
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT TSNE --- AGE (BINNED AGE) ---------------------------------------
%% PLOT PCA --- AGE ------------------------------------------
close all;  
clc; close all;
fh1=figure('Units','normalized','Position',[.05 .05 .70 .84],'Color','w');
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
ax1=axes('Position',[.05 .02 .9 .9],'Color','none');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');


AGE = round(PHE.AGE);
AGE = round(PHE.AGE);
ofAGE = AGE>60;
[Y,E] = discretize(AGE,8);
A = AGE(ofAGE);
for nn = 1:numel(E)
AGE(Y==nn) = E(nn);
end


histogram(AGE)
Tx = AGE(AGE>60);
Tn = unique(Tx);
Ts = 'AGE-STATUS';


[Y,E] = discretize(A,[60 80 90 91]);
PCAage = PCAC(AGE>60,:);
% [Y,E] = discretize(A,[60 75 85 90 91]);
 
for nn = 1:numel(E)
 
A(Y==nn) = E(nn);
axes(hax1); colormap(hax1, (jet(numel(Tn))) );
end
% axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
ph1 = scatter(PCAage(:,1), PCAage(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');


ph1 = gscatter(tSN(ofAGE,1),tSN(ofAGE,2), A, [],'.',15);
cb=colorbar('Ticks',Tn,'TickLabels',Tn,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';




title({'\fontsize{16} t-SNE : AGE',' '})
axes(hax2); colormap(hax2, (jet(numel(Tn))) );
% legend(ph1,{'CTRL','CASE'},'FontSize',12,'Box','off','Location','NorthWest');
% axes(hax2); colormap(hax2, flipud(jet(max(Tn))) );
axis off
ph2 = scatter3(PCAage(:,1), PCAage(:,2), PCAage(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])
</syntaxhighlight>
</syntaxhighlight>


<big>Top 100 variants</big>
<big>Top 50 variants</big>
[[File: TSNE Age.png|800px]]
[[File: PCA 2D 3D AGE 50vars.png|800px]]


<big>Top 2000 variants</big>
<big>Top 2000 variants</big>
[[File: TSNE Age 2kvars.png|800px]]
[[File: PCA 2D 3D AGE 2000vars.png|800px]]




Line 413: Line 512:
====APOE STATUS====
====APOE STATUS====
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT TSNE --- APOE STATUS (22,23,24,33,34,44) ------------------------
%% PLOT PCA --- APOE-STATUS ------------------------------------------
close all;  
clc; close all;
fh1=figure('Units','normalized','Position',[.05 .05 .70 .84],'Color','w');
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
ax1=axes('Position',[.05 .02 .9 .9],'Color','none');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');




ph1 = gscatter(tSN(:,1),tSN(:,2),  PHE.APOE, [],'.',15);
APOE = unique(PHE.APOE);
PHE.APOEID = PHE.SEX .* 0;
for nn = 1:numel(APOE)
    PHE.APOEID(PHE.APOE == APOE(nn)) = nn;
end




ph1(1).MarkerSize = 35;
Tx = PHE.APOEID;
ph1(2).MarkerSize = 25;
Tn = unique(Tx);
ph1(2).Color = [.20 .20 .99];
Ts = 'APOE-STATUS';
ph1(3).MarkerSize = 35;
ph1(4).Color = [.99 .50 .10];
ph1(5).Color = [.30 .70 .80];
ph1(6).MarkerSize = 25;


title({'\fontsize{16} t-SNE : APOE',' '})
% legend(ph1,{'CTRL','CASE'},'FontSize',12,'Box','off','Location','NorthWest');
axis off
</syntaxhighlight>


<big>Top 100 variants</big>
axes(hax1); colormap(hax1, (lines(numel(Tn))) );
[[File: TSNE APOE.png|800px]]
% axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
ph1 = scatter(PCAC(:,1), PCAC(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');


<big>Top 2000 variants</big>
cb=colorbar('Ticks',Tn,'TickLabels',APOE,'Direction','reverse');
[[File: TSNE APOE 2kvars.png|800px]]
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';




axes(hax2); colormap(hax2, (lines(numel(Tn))) );
% axes(hax2); colormap(hax2, flipud(jet(max(Tn))) );
ph2 = scatter3(PCAC(:,1), PCAC(:,2), PCAC(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])
</syntaxhighlight>


<big>Top 50 variants</big>
[[File: PCA 2D 3D APOE 50vars.png|800px]]


 
<big>Top 2000 variants</big>
====CONSENT GROUP====
[[File: PCA 2D 3D APOE 2000vars.png|800px]]
<syntaxhighlight lang="matlab" line start="1" highlight="1" enclose="div">
%% PLOT TSNE --- CONSENT GROUP ------------------------------------------
close all;
fh1=figure('Units','normalized','Position',[.05 .05 .70 .84],'Color','w');
ax1=axes('Position',[.05 .02 .9 .9],'Color','none');




ph1 = gscatter(tSN(:,1),tSN(:,2),  PHE.RD, [],'.',15);




title({'\fontsize{16} t-SNE : CONSENT GROUP',' '})
% legend(ph1,{'CTRL','CASE'},'FontSize',12,'Box','off','Location','NorthWest');
axis off
</syntaxhighlight>


<big>Top 2000 variants</big>
[[File: TSNE Consent 2kvars.png|800px]]




Latest revision as of 17:53, 11 June 2018

PCA is a numerical transformation that performs dimensionality reduction, often for data visualization purposes. Like tSNE, PCA helps revealing clusters in high-dimensional data. PCA allows you to visualize two or three components directly against each at the same time.

Other Analyses





PCA Code



% ######################################################################
%%                PRINCIPAL COMPONENTS ANALYSIS
% ######################################################################


clc; close all; clear; rng('shuffle')
cd(fileparts(which('GENOS.m')));


MATDATA = 'ADSPdata.mat';
which(MATDATA)
load(MATDATA)

clearvars -except ADSP



%% CARBON COPY MAIN VARIABLES FROM ADSP.STRUCT

LOCI = ADSP.LOCI(:,1:17);
CASE = ADSP.CASE;
CTRL = ADSP.CTRL;
PHEN = ADSP.PHEN;

clearvars -except ADSP LOCI CASE CTRL PHEN





%###############################################################
%%       DETERMINE WHICH PARTICIPANTS TO KEEP
%###############################################################



PHE = PHEN(PHEN.TOTvars>14000,:);


PHECASE = PHE(PHE.AD==1,:);
PHECTRL = PHE(PHE.AD==0,:);


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL



%###############################################################
%%          COUNT NUMBER OF VARIANTS PER LOCI
%###############################################################

% The varsum() function will go through each known variant loci
% and check whether anyone's SRR ID from your subset of IDs match
% all known SRR IDs for that loci. It will then sum the total
% number of alleles (+1 for hetzy-alt, +2 for homzy-alt) for each
% loci and return the totals.


[CASEN, CTRLN] = varsum(CASE, PHECASE.SRR, CTRL, PHECTRL.SRR);


% SAVE COUNTS AS NEW TABLE COLUMNS
LOCI.CASEREFS = numel(PHECASE.SRR)*2-CASEN;
LOCI.CTRLREFS = numel(PHECTRL.SRR)*2-CTRLN;
LOCI.CASEALTS = CASEN;
LOCI.CTRLALTS = CTRLN;


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL







%###############################################################
%%               COMPUTE FISHER'S P-VALUE
%###############################################################


% COMPUTE FISHERS STATISTICS FOR THE TRAINING GROUP
[FISHP, FISHOR] = fishp_mex(LOCI.CASEREFS,LOCI.CASEALTS,...
                            LOCI.CTRLREFS,LOCI.CTRLALTS);

LOCI.FISHPS  = FISHP;
LOCI.FISHORS = FISHOR;


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL





%% MAKE LATEST COUNTS THE MAIN TABLE STATS

LOCI.CASEREF = LOCI.CASEREFS;
LOCI.CTRLREF = LOCI.CTRLREFS;
LOCI.CASEALT = LOCI.CASEALTS;
LOCI.CTRLALT = LOCI.CTRLALTS;
LOCI.FISHP   = LOCI.FISHPS;
LOCI.FISHOR  = LOCI.FISHORS;






%% SORT VARIANT LOCI TABLE BY FISHER P-VALUE

[X,i] = sort(LOCI.FISHP);

LOCI  = LOCI(i,:);
CASE  = CASE(i);
CTRL  = CTRL(i);
LOCI.VID = (1:size(LOCI,1))';

LOCI.GENE = string(LOCI.GENE);



clc; clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL
disp(LOCI(1:9,:))





%% STORE VARIABLES FOR PCA/TSNE AS 'AMX'

AMX         = LOCI;
AMXCASE     = CASE;
AMXCTRL     = CTRL;


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL 





%% FILTER VARIANTS BASED ALT > REF

PASS = (AMX.CASEREF > AMX.CASEALT./1.5) | (AMX.CTRLREF > AMX.CTRLALT./1.5);
sum(~PASS)

AMX      = AMX(PASS,:);
AMXCASE  = AMXCASE(PASS);
AMXCTRL  = AMXCTRL(PASS);
AMX.VID  = (1:size(AMX,1))';




clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL 





%% TAKE THE TOP N NUMBER OF VARIANTS
N = 50;


AMX      = AMX(1:N,:);
AMXCASE  = AMXCASE(1:N);
AMXCTRL  = AMXCTRL(1:N);
AMX.VID  = (1:size(AMX,1))';

fprintf('\n %.0f final loci count \n\n',size(AMX,1))

clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL 








%% MAKE  RECTANGLE  NN VARIANT MATRIX


[ADNN, caMX, coMX] = varmx(AMX,AMXCASE,AMXCTRL,PHE);

clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL ADNN 









%% RANDOMIZE ADNN AND REORDER PHE TO MATCH ADNN

ADL = ADNN(1,:);
ADN = ADNN(2:end,:);
i = randperm(size(ADN,1));
ADN = ADN(i,:);
ADNN = [ADL;ADN];


[i,j] = ismember(PHE.SRR, ADN(:,1) );
PHE.USED = i;
PHE.ORDER = j;
PHE = PHE(PHE.USED,:);
PHE = sortrows(PHE,'ORDER');



PCAMX = ADNN(2:end,4:end);


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL ADNN PCAMX  



%######################################################################
%%       PCA : PRINCIPAL COMPONENTS ANALYSIS
%######################################################################


ss = statset('pca')
ss.Display = 'iter';
ss.MaxIter = 100;
ss.TolFun = 1e4;
ss.TolX = 1e4;
ss.UseParallel = true;

% 'NumComponents',5,  'Algorithm','eig', Elapsed time is 70.459438 seconds.
% [PCAC,PCAS,PCAlatent,PCAtsquared,PCAE] = pca(  PCAMX' ,'Options',ss); 


% PCAMX(PCAMX>0) = 1;

[PCAC,PCAS,~,~,PCAE] = pca(  PCAMX' , 'Options',ss);


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL ADNN PCAMX PCAC PCAS PCAE  







%% RECONSTRUCT ORIGINAL DATA (OPTIONAL TEST)



% MEAN DEVIATE (CENTER) DATA
mu = mean(PCAMX);
Xi = bsxfun(@minus,PCAMX,mu);


% Reconstruct the centered data
Xj = PCAS*PCAC';

% Reconstruct original data
PCAMX_REDUX = round(Xj' + mu);


clearvars -except ADSP LOCI CASE CTRL PHEN PHE PHECASE PHECTRL...
AMX AMXCASE AMXCTRL ADNN PCAMX PCAC PCAS PCAE PCAMX_REDUX




PCA Plots




ALL PCs in 1D

%% PLOT PCA --- ALL PCs IN 1D -------------------------------------
clc; close all;
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .9 .8],'Color','w');
hax1 = axes('Position',[.08 .08 .40 .80],'Color','none');
hax2 = axes('Position',[.56 .08 .40 .80],'Color','none');


Tx = PHE.COHORTNUM;
Tn = unique(Tx);
Ts = 'Cohort';

% axes(hax1); colormap(hax1, (prism(max(Tn))) );
axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );

ph1 = scatter( (1:numel(PCAC(:,1))).*0+1  , PCAC(:,1),50, Tx,'o');
hold on
ph2 = scatter( (1:numel(PCAC(:,2))).*0+2  , PCAC(:,2),50, Tx,'o');
hold on
ph3 = scatter( (1:numel(PCAC(:,3))).*0+3  , PCAC(:,3),900, Tx,'.');
hold on
ph4 = scatter( (1:numel(PCAC(:,4))).*0+4  , PCAC(:,4),900, Tx,'.');
hold on
ph5 = scatter( (1:numel(PCAC(:,5))).*0+5  , PCAC(:,5),900, Tx,'.');


hax1.XLim = [0 6];


text(1,max(ph1.YData),sprintf(['explains: \n ' num2str(round(PCAE(1),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);

text(2,max(ph2.YData),sprintf(['explains: \n ' num2str(round(PCAE(2),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);

text(3,max(ph3.YData),sprintf(['explains: \n ' num2str(round(PCAE(3),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);

text(4,max(ph4.YData),sprintf(['explains: \n ' num2str(round(PCAE(4),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);

text(5,max(ph5.YData),sprintf(['explains: \n ' num2str(round(PCAE(5),2)) '%% \n']),...
'Interpreter','tex','HorizontalAlignment','center','VerticalAlignment','bottom','FontSize',14);




xlabel('\bf PCA1 - PCA5');ylabel('\bf Eigenvector Coefficients');
cb=colorbar('Ticks',unique(Tx),'TickLabels',(unique(Tx)),'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 18; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';





axes(hax2); colormap(hax2, (prism(max(Tn))) );

ph1 = scatter( (1:numel(PCAC(:,1))).*0+1  , PCAC(:,1),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph2 = scatter( (1:numel(PCAC(:,2))).*0+2  , PCAC(:,2),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph3 = scatter( (1:numel(PCAC(:,3))).*0+3  , PCAC(:,3),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph4 = scatter( (1:numel(PCAC(:,4))).*0+4  , PCAC(:,4),50, Tx,'o','MarkerEdgeAlpha',.02);
hold on
ph5 = scatter( (1:numel(PCAC(:,5))).*0+5  , PCAC(:,5),50, Tx,'o','MarkerEdgeAlpha',.02);

hax2.XLim = [0 6];

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ALZHEIMER'S STATUS

%% PLOT PCA --- CASE-vs-CTRL ------------------------------------------
clc; close all;
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');


Tx = PHE.AD;
Tn = unique(Tx);
Ts = 'CASE-vs-CTRL';


axes(hax1); colormap(hax1, (lines(max(Tn)+1)) );
ph1 = scatter(PCAC(:,1), PCAC(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');

cb=colorbar('Ticks',Tn,'TickLabels',Tn,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';


axes(hax2); colormap(hax2, (lines(max(Tn)+1)) );
ph2 = scatter3(PCAC(:,1), PCAC(:,2), PCAC(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])

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STUDY COHORT

%% PLOT PCA --- COHORT ------------------------------------------
clc; close all;
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');


Tx = PHE.COHORTNUM;
Tn = unique(Tx);
Ts = 'Cohort';


axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
ph1 = scatter(PCAC(:,1), PCAC(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');

cb=colorbar('Ticks',Tn,'TickLabels',Tn,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';


axes(hax2); colormap(hax2, flipud(jet(max(Tn))) );
ph2 = scatter3(PCAC(:,1), PCAC(:,2), PCAC(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])

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AGE

%% PLOT PCA --- AGE ------------------------------------------
clc; close all;
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');

AGE = round(PHE.AGE);
[Y,E] = discretize(AGE,8);
for nn = 1:numel(E)
AGE(Y==nn) = E(nn);
end

Tx = AGE(AGE>60);
Tn = unique(Tx);
Ts = 'AGE-STATUS';

PCAage = PCAC(AGE>60,:);


axes(hax1); colormap(hax1, (jet(numel(Tn))) );
% axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
ph1 = scatter(PCAage(:,1), PCAage(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');

cb=colorbar('Ticks',Tn,'TickLabels',Tn,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';


axes(hax2); colormap(hax2, (jet(numel(Tn))) );
% axes(hax2); colormap(hax2, flipud(jet(max(Tn))) );
ph2 = scatter3(PCAage(:,1), PCAage(:,2), PCAage(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])

Top 50 variants Error creating thumbnail: File missing

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APOE STATUS

%% PLOT PCA --- APOE-STATUS ------------------------------------------
clc; close all;
fh1=figure('Units','normalized','OuterPosition',[.02 .06 .97 .8],'Color','w');
hax1 = axes('Position',[.05 .07 .40 .85],'Color','none');
hax2 = axes('Position',[.52 .07 .40 .85],'Color','none');


APOE = unique(PHE.APOE);
PHE.APOEID = PHE.SEX .* 0;
for nn = 1:numel(APOE)
    PHE.APOEID(PHE.APOE == APOE(nn)) = nn;
end


Tx = PHE.APOEID;
Tn = unique(Tx);
Ts = 'APOE-STATUS';


axes(hax1); colormap(hax1, (lines(numel(Tn))) );
% axes(hax1); colormap(hax1, flipud(jet(max(Tn))) );
ph1 = scatter(PCAC(:,1), PCAC(:,2),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');

cb=colorbar('Ticks',Tn,'TickLabels',APOE,'Direction','reverse');
cb.Label.String = Ts; cb.Label.FontSize = 14; cb.Label.Rotation = -90;
cb.Label.VerticalAlignment = 'baseline';


axes(hax2); colormap(hax2, (lines(numel(Tn))) );
% axes(hax2); colormap(hax2, flipud(jet(max(Tn))) );
ph2 = scatter3(PCAC(:,1), PCAC(:,2), PCAC(:,3),500, Tx,'.');
xlabel('\bf PCA1');ylabel('\bf PCA2');zlabel('\bf PCA3');
view([65,20])

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Additional Genomics Analyses



Other Analyses










Notes

Category:ADSP

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