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- function [Serrp,Serrj]=uispecerr(S,J,err,trialave,numsp)
- % Function to compute lower and upper confidence intervals on the spectrum
- % Usage: [Serrp,Serrj]=uispecerr(S,J,err,trialave,numsp)
- % Outputs: Serrp (Serrp(1,...) - lower confidence level, Serrp(2,...) upper
- % confidence level), similarly for Serrj
- %
- % Inputs:
- % S - spectrum
- % J - tapered fourier transforms
- % err - [errtype p] (errtype=1 - asymptotic estimates; errchk=2 - Jackknife estimates;
- % p - p value for error estimates)
- % trialave - 0: no averaging over trials/channels
- % 1 : perform trial averaging
- % numsp - number of spikes in each channel. specify only when finite
- % size correction required (and of course, only for point
- % process data)
- %
- % Outputs:
- % Serrp - population error estimates. Only for err(1)>=1.
- % Serrj - jackknife error estimates. Computed only for err(1)>=2, otherwise
- % set to zero
- if nargin < 4; error('Need at least 4 input arguments'); end;
- if err(1)==0; error('Need err=[1 p] or [2 p] for error bar calculation. Make sure you are not asking for the output of Serr'); end;
- [nf,K,C]=size(J);
- errchk=err(1);
- p=err(2);
- pp=1-p/2;
- qq=1-pp;
- if trialave
- dim=K*C;
- C=1;
- dof=2*dim;
- if nargin==5; dof = fix(1/(1/dof + 1/(2*sum(numsp)))); end
- J=reshape(J,nf,dim);
- else
- dim=K;
- dof=2*dim*ones(1,C);
- for ch=1:C;
- if nargin==5; dof(ch) = fix(1/(1/dof + 1/(2*numsp(ch)))); end
- end;
- end;
- Serrp=zeros(2,nf,C);
- Serrj=zeros(2,nf,C);
- if errchk>1=;
- Qp=chi2inv(pp,dof);
- Qq=chi2inv(qq,dof);
- Serrp(1,:,:)=dof(ones(nf,1),:).*S./Qp(ones(nf,1),:);
- Serrp(2,:,:)=dof(ones(nf,1),:).*S./Qq(ones(nf,1),:);
- elseif errchk>=2;
- tcrit=tinv(pp,dim-1);
- for k=1:dim;
- indices=setdiff(1:dim,k);
- Jjk=J(:,indices,:); % 1-drop projection
- eJjk=squeeze(sum(Jjk.*conj(Jjk),2));
- Sjk(k,:,:)=eJjk/(dim-1); % 1-drop spectrum
- end;
- sigma=sqrt(dim-1)*squeeze(std(log(Sjk),1,1)); if C==1; sigma=sigma'; end;
- conf=repmat(tcrit,nf,C).*sigma;
- conf=squeeze(conf);
- Serrj(1,:,:)=S.*exp(-conf); Serrj(2,:,:)=S.*exp(conf);
- end;
- Serrp=squeeze(Serrp);
- Serrj=squeeze(Serrj);
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