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EOF_STAT

EOF_STAT(A,FRAC_TIMESER) Used with EOF_SPACE and/or EOF_TFUNC. Return statistics related to an EOF solution for a given set of parameters. Results are on the x-axis j = 1: # EOFscomputed and scaled, j = 2: % percentage of total variance accounted for by each eigenvector, j = 3: the eigenvalues.

Arguments:	A	Variable in any spatial dimensions, and time
	FRAC_TIMESER	Use only those time series with this fraction valid data, e.g. 0.8 to require that 80% of the data be present to use the data at a location.
Result Axes:	X	ABSTRACT: 1 to NEOF
	Y	ABSTRACT: 1 through 3 as outlined in the description.
	Z	NORMAL (no axis)
	T	NORMAL (no axis)

Please see the discussion under EOF_SPACE, and see the demonstration ef_eof_demo.jnl for examples of this function.

Example results:

For a simple sample function, eof_stat called to decompose it into eigenfunctions. We allow data to be used if the time series at the point has at least 80% valid data.

Request the number of eigenvalues computed for this choice of parameters.

yes? list/i=1/j=1 eofstat
            VARIABLE : EOF_STAT(SST[X=67W:1W,Y=11S:11N], 0.8)0
            DATA SET : COADS Monthly Climatology (1946-1989)
            FILENAME : coads_climatology.des
            FILEPATH : /home/ja9/tmap/fer_dsets/descr/
            X        : 1
            Y        : 1
         284.0

Now get the percent variance explained by the eigenfunctions which were computed.

yes? list/i=1:10/j=2 eofstat
            VARIABLE : EOF_STAT(SST[X=67W:1W,Y=11S:11N], 0.8)
            DATA SET : COADS Monthly Climatology (1946-1989)
            FILENAME : coads_climatology.des
            FILEPATH : /home/ja9/tmap/fer_dsets/descr/
            SUBSET   : 10 points (X)
            Y        : 2
              2    
              2
1    /  1:  86.95
2    /  2:   5.82
3    /  3:   3.87
4    /  4:   1.51
5    /  5:   0.56
6    /  6:   0.38
7    /  7:   0.31
8    /  8:   0.23
9    /  9:   0.15
10   / 10:   0.11

And finally the eigenvalues associated with these eigenfunctions.

yes? list/i=1:10/j=3 eofstat
            VARIABLE : EOF_STAT(SST[X=67W:1W,Y=11S:11N], 0.8)
            DATA SET : COADS Monthly Climatology (1946-1989)
            FILENAME : coads_climatology.des
            FILEPATH : /home/ja9/tmap/fer_dsets/descr/
            SUBSET   : 10 points (X)
            Y        : 3
              3    
              3
1    /  1:  249.4
2    /  2:   16.7
3    /  3:   11.1
4    /  4:    4.3
5    /  5:    1.6
6    /  6:    1.1
7    /  7:    0.9
8    /  8:    0.7
9    /  9:    0.4
10   / 10:    0.3

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EOF_STAT