Column statistics in the Object Analyzer

This article summarizes how to optimally use column statistics in the Object Analyzer in the Huygens deconvolution software.

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$$ SUM = \sum_{i=1}^N x_i $$

$$ AVG = \frac{SUM}{N} $$

$$ SD-N = \sqrt{\frac{1}{N} \sum_{i=1}^N (x_i - AVG)^2 $$

What follows is an example of the reported values: first objects in the Primary (P) segmentation group are considered separately, then objects in the Secondary (S) group, and finally statistics are reported for all objects together (PS). If some rows are present in the table reporting about the ROI, they are also included separately.

 ---- 'Voxels' ----
Number of voxels in the object

Primary segmentation group (P)
  MAX(P) = 326
  MED(P) = 58
  MIN(P) = 7
  N(P) = 12
  SUM(P) = 923
  AVG(P) = 76.917
  SD-N(P) = 84.044  (109.27%)

Secondary segmentation group (S)
  MAX(S) = 1127
  MED(S) = 17.5
  MIN(S) = 6
  N(S) = 24
  SUM(S) = 2067
  AVG(S) = 86.125
  SD-N(S) = 222.47  (258.31%)

Both segmentation groups (PS)
  MAX(PS) = 1127
  MED(PS) = 21
  MIN(PS) = 6
  N(PS) = 36
  SUM(PS) = 2990
  AVG(PS) = 83.056
  SD-N(PS) = 188.07  (226.44%)