Evaluation of relative quantification of alternatively spliced transcripts using droplet digital PCR

. 2017 Sep 20;13:40–48. doi: 10.1016/j.bdq.2017.09.001

equation	error propagation
${\bar{C q}}_{i j l} = \frac{\sum_{k = 1}^{m} C q_{i j k l}}{m}$	$S E_{{\bar{C q}}_{i j l}} = \sqrt{\frac{\sum_{k = 1}^{m} {(C q_{i j k l} - {\bar{C q}}_{i j l})}^{2}}{m \cdot (m - 1)}}$
${\bar{\bar{C q}}}_{i l} = \frac{\sum_{j = 1}^{n} {\bar{C q}}_{i j l}}{n}$	$S E_{{\bar{\bar{C q}}}_{i l}} = \sqrt{\frac{\sum_{j = 1}^{n} {({\bar{C q}}_{i j l} - {\bar{\bar{C q}}}_{i l})}^{2}}{n \cdot (n - 1)}}$
$△ C q_{i j l} = {\bar{\bar{C q}}}_{i l} - {\bar{C q}}_{i j l}$	$S E_{△ C q_{i j l}} = \sqrt{{(S E_{{\bar{\bar{C q}}}_{i l}})}^{2} + {(S E_{{\bar{C q}}_{i j l}})}^{2}}$
$R Q_{i j l} = E_{j}^{△ C q_{i j l}}$	$S E_{R Q_{i j l}} = R Q_{i j l} \cdot \sqrt{{(\frac{△ C q_{i j l} \cdot S E_{E_{j}}}{E_{j}})}^{2} + {(\ln (E_{j}) \cdot S E_{△ C q_{i j l}})}^{2}}$
$R E_{i j l} = \frac{R Q_{i j l}}{\sum_{j = 1}^{n} R Q_{i j l}}$	$S E_{R E_{i j l}} = R E_{i j l} \cdot \sqrt{{(\frac{S E_{R Q_{i j l}}}{R Q_{i j l}})}^{2} + {(\frac{\sqrt{\sum_{j = 1}^{n} {(S E_{R Q_{i j l}})}^{2}}}{\sum_{j = 1}^{n} R Q_{i j l}})}^{2}}$