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--- sift:build_nds:nd_summary_statistics [2024/11/26 19:08] – wikisysop
+++ sift:build_nds:nd_summary_statistics [2024/12/18 14:47] (current) – [Median Absolute Deviation] wikisysop
@@ Line 5: / Line 5: @@
 Here we list all available summary statistics that can be computed against the ND library.
-If there is a statistics you wish to calculate but is not included here, email info@has-motion.ca and let us know!
+If there are statistics you wish to calculate they are not included here, email info@has-motion.ca and let us know!
-----
 ===== Measures of Central Tendencies =====
@@ Line 117: / Line 117: @@
 ==== Percentiles ====
+**Definition:** The value of a sorted data set where x% of the data is below that value.\\
+**Equation:** {{:sift:build_nds:percentileseq.png?125}}\\
+{{:sift:build_nds:percentileseq2.png?100}}\\
+x = percentile of interest\\
+Pi = index of xth percentile in the data set\\
+n = total number of points in the data set\\
+X = sorted data set\\
+Px = the data value at index Pi\\
+//Note: in this implementation, we provide the 5th and 95th percentiles.//
+----
 ==== Mean Absolute Deviation ====
+**Definition:** The measure of variability representing the average distance of each data point and the mean of the data set.\\
+**Equation:** {{:sift:build_nds:madeq.png?125}}\\
+N = the number of points in the data set\\
+u = the **mean** of the data set\\
+Xi = each data point in the data set\\
+----
 ==== Median Absolute Deviation ====
+**Definition:** The measure of variability representing the average distance of each data point and the median of the data set.\\
+**Equation:** {{:sift:build_nds:madeq.png?125}}\\
+N = the number of points in the data set\\
+u = the **median** of the data set\\
+Xi = each data point in the data set\\