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--- table [2019/12/02 13:21]
erik
+++ table [2019/12/02 13:49]
erik
@@ Line 18: / Line 18: @@
 ^Silver|3|5|...|5|
-If the data is probabilistic the dimension increase. With 1000 iterations, the table would then become:
+If the data is probabilistic the dimension increase to three. With n=1000 iterations, the table would then become:
 ^Time^Nickel/1^Lead/1^Silver/1^Nickel/2^Lead/2^Silver/2^ ^Nickel/n,^Lead/n^Silver/n^
-^0.0|1|2|3| | | |...| | | |
+^0.0|1|2|3|4|3|2|...|5|3|2|
-^5.0|2|8|5| | | |...| | | |
+^5.0|2|8|5|2|6|1|...|8|6|8|
 ^...|...|...|...|...|...|...|...|...|...|...|
-^100.0|3|9|5| | | |...| | | |
+^100.0|3|9|5|6|2|4|...|9|6|5|
+=== Reduction ===
+For probabilistic data, it is more common to display statistics rather than data for each iteration. For example, by showing the mean and standard deviation the probabilistic dimension is reduced from thousands of items to just two:
+^Time^Nickel/mean^Lead/mean^Silver/mean^Nickel/std dev^Lead/std dev^Silver/std dev^
+^0.0|3|1|3|7|9|4|
+^5.0|7|3|1|2|6|3|
+^...|...|...|...|...|...|...|
+^100.0|5|3|6|1|8|5|
+The same can be done for time: instead of showing all time points, just show the first and last time point:
+^Time^Nickel/mean^Lead/mean^Silver/mean^Nickel/std dev^Lead/std dev^Silver/std dev^
+^First|3|1|3|7|9|4|
+^Last|5|3|6|1|8|5|
+If only the last time point is shown, the dimension of the data is reduced so that we can use rows for contaminants instead:
+^Contaminant^mean, t=100^std dev, t=100^
+^Nickel|5|1|
+^Lead|3|8|
+^Silver|6|5|

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