About Standard Deviation

Standard deviation is a simple measure of the variability of a data set. When used for analyzing deposits, standard deviation tests can indicate how far from the mean, or average, a particular deposit value is for a specific end user.

 

A low standard deviation for an end user indicates a deposit history without much variance from the mean amount.  A high standard deviation indicates a high degree of variance in deposits amounts.

 

A Standard Deviation Factor is simply a multiplier of standard deviation.  As illustrated in Figure 1 below, a standard deviation factor of 1 includes 68% of average deposit activity, a factor of 2 includes 95% of average deposit activity, and a factor of 3 includes 99% of average deposit activity (assuming a “normal” distribution of deposit amounts).

 

Figure 1

 

To test a deposit against standard deviation using the supplied factor, the following formula is used:

 

DepositAmount > MeanAmount + (StandardDeviation x StandardDeviationFactor)

 

For example, if the MeanAmount is $200, StandardDeviation is $150, and StandardDeviationFactor is 3, then deposits greater than $650 (200 + [3 x $150]) will be flagged for review.  

 

Standard deviation tests are most effective when an end user has built up deposit history.  Therefore, combining this test with the First n Review test is a logical plan.

 

Learn more about standard deviation by visiting the following sites:

 

http://www.techbookreport.com/tutorials/stddev-30-secs.html

http://en.wikipedia.org/wiki/Standard_deviation

 

There are several types of standard deviation factors that can be used to identify deposit trends, and flag a deposit for automatic review if it falls outside of the end user's normal depositing activity.  

 

 

Deviation Factor - Per Deposit: By default,  this feature is disabled.  To enable, enter a deviation factor to be used for identifying deposits that fall outside of the normal activity for individual deposits.   

 

Deviation Factor - Per Day: By default,  this feature is disabled.  To enable, enter a deviation factor to be used for identifying deposits that fall outside of the normal deposit activity per day.   

 

Deviation Factor - Per Month: By default,  this feature is disabled.  To enable, enter a deviation factor to be used for identifying deposits that fall outside of the normal monthly deposit activity.   

 

Deviation Minimum Amount: Represents the low dollar threshold at which standard deviation tests will be ignored.  I.e., deposits below this amount will not be flagged for review.  By default, this feature is disabled.  To enable, enter an amount greater than zero ($0.00).  

 

Illustration

Step 1. Work out the average (mean value) of your set of numbers
Example 1  

Example 2

Mean Calculation  
Number 1 100 110
Number 2 200 250
Number 3 300 325
Number 4 400 475
Number 5 500 590
TOTAL 1,500 1750
Mean Amount 300 (Average) 350
Step 2. Work out the difference between each number and the mean
Difference (Between Mean and Amounts)
Number 1 200 240
Number 2 100 100
Number 3 0 25
Number 4 100 -125
Number 5 200 -240
Step 3. Square the differences
Differences - Squared
Number 1 40,000 57,600
Number 2 10,000 10,000
Number 3 0 625
Number 4 10,000 15,625
Number 5 40,000 57,600
Step 4. Add up the square of all the differences
Squared Amounts - Total 100,000 141,450
Step 5. Divide this by one less than the number of numbers in your set - this is called the variance
Variance 25,000 35,362.50  
Step 6. Take the square root of the variance and you've got the standard deviation
Standard Deviation 158.113883 188.049196
Factor Illustration - Example 1
Mean  300      
Standard Deviation 158 (Rounded)  
Factor = 1 458 (Equals Mean+[StdDev x 1])
Factor = 2 616 (Equals Mean+[StdDev x 2])
Factor = 3 774 (Equals Mean+[StdDev x 3])
Factor Illustration - Example 2
Mean  350      
Standard Deviation 188 (Rounded)  
Factor = 1 538 (Equals Mean+[StdDev x 1])
Factor = 2 676 (Equals Mean+[StdDev x 2])
Factor = 3 864 (Equals Mean+[StdDev x 3])