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% Compute the variance (ignoring NaNs).
% V = var (X, OPT, DIM)
% Compute the variance along dimension DIM.
% If OPT is equal to 1, then the variance is bias-corrected.
function s = nanvar(self,opt,varargin)
if nargin == 1
opt = 0;
elseif isempty(opt)
opt = 0;
end
nm = nanmean(self,varargin{:});
[s,n] = reduce(self,@funred, ...
@(x) funelem(x,nm),varargin{:});
if isempty(s)
s = 0;
else
total = s{1};
count = s{2};
if opt == 0
s = total./(count-1);
else
s = total./count;
end
end
end
function x = funelem(x,nm)
% make sure x is not an ncArray
x = full(x);
mask = isnan(x) | isnan(nm);
diff = zeros(size(x));
diff(mask) = x(mask) - nm(mask);
x = {diff.^2, ~mask};
end
function s = funred(x,y)
s = {x{1} + y{1}, x{2} + y{2}} ;
end
% Copyright (C) 2013 Alexander Barth <barth.alexander@gmail.com>
%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; If not, see <http://www.gnu.org/licenses/>.
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