Pharmaceutical drug fraud a 360 degree hurt to US economy that also includes $60 Billion Medicare fraud and Money Laundry. They defeat the drivers of genomics, mHealth, TeleHealth innovations. Random samples are drawn from large samples and analyzed mathematically (calculus, Regression etc)
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Mathematics of outlier_detection_and_pattern_recognition_pharmacy_fraud_2013
1. Mathematics of Outlier Detection and
Pattern Recognition: Pharmacy Fraud
•Product: MED-DETECTION
•Pharmaceutical drug non-adherence causes $290 Billion
additional cost of care in USA.
•Pharmaceutical drug reimbursements drive genomics
innovation, care for chronic diseases and car accident
patients, Central to mHealth and Tele-health initiatives.
•Pharmaceutical drug fraud by patients, pharmacists and
providers create 360 degree Economic Hurt that also includes
$60 Billion Medicare Pharmacy Fraud and Money Laundry.
•Complex Behavior: Mathematics Needed!
2. Sample 1: CMS Data Released in
2013: waves on right side (2010)
X-axis:SRVC_DT: January 2008 to December 2010
Quantity Dispensed
Days Supply Number
Patient Paid Amount
SRVC_DT
3. Sample 2: Mathematics extracted only 6%
data as outlier: Pattern Continues…
x-axis: SRVC_Date: January 2008 to December 2010
QTY_DSPNSD_NUM
DAYS_SUPLY_NUM
PTNT_PAY_AMT
SRVC_DT
4. Sample 3: 8 random samples were found
from 450k data. All samples different in 2010.
0
50
100
150
200
250
300
350
400
SRVC_DATE : January 2008 to December 2010
QTY_DSPNSD_NUM
DAYS_SUPLY_NUM
PTNT_PAY_AMT
SRVC_DATE
5. Sample 4: Quantity dispensed to 360 units, Days supply to 180
days and Patient Payment to $570 in 450K data: note the right
side in 2010, likely due lower DAYS_SUPLY_NUM.
Service_Date: January 2008 to December 2010
QTY_DSPNSD_NU
M
DAYS_SUPLY_NUM
PTNT_PAY_AMT
6. Sample 5: Mathematical Equations were used for
segmentation; note left (2008-2009) VS right (2010) data.
0
50
100
150
200
250
300
350
400
SRVC Date: January 2008 to December 2010
QTY_DSPNSD_NUM
DAYS_SUPLY_NUM
PTNT_PAY_AMT
7. Sample 6: Patient paid_$ also decreased in right
side of pane (2010) in all samples; plan looses $.
0
50
100
150
200
250
300
350
400
SRVC_Date: January 2008 to December 2010
QTY_DSPNSD_NUM
DAYS_SUPLY_NUM
PTNT_PAY_AMT
8. Sample 7: same pattern all over
here; more intense in 2010.
0
50
100
150
200
250
300
350
400
Service_Date: January 2008 to December 2010
QTY_DSPNSD_NUM DAYS_SUPLY_NUM
PTNT_PAY_AMT
9. Sample 8: 2008-2009 Learning the
fraud and, 2010 Execution of fraud.
SRVC_Date: January 2008 to December 2010
a1.QTY_DSPNSD_NUM
b1.DAYS_SUPLY_NUM
c1.PTNT_PAY_AMT
10. 2010 data separated from 2008-09 data
and analyzed: Prescription drug fraud!
The circle on right is very high quantity
dispensed at low price… Why?
Look at the hole in middle-why? Zero
supply days for some money, nice!
y = -0.0319x + 39.565
R² = 0.0114
y = 0.0002x2 - 0.093x + 41.752
R² = 0.0168
y = -2E-06x3 + 0.0012x2 - 0.203x + 44.102
R² = 0.0204
0
50
100
150
200
250
0 100 200 300 400
TOT_RX_CST_AMT
QTY_DSPNSD_NUM
QTY_DSPNSD_NUM Line Fit Plot
TOT_RX_CST_AMT
Predicted
TOT_RX_CST_AMT
Linear
(TOT_RX_CST_AMT)
Poly.
(TOT_RX_CST_AMT)
Poly.
(TOT_RX_CST_AMT)
y = 0.0171x + 36.943
R² = 0.0003
y = -0.002x2 + 0.2324x + 32.778
R² = 0.0027
y = -7E-05x3 + 0.0065x2 - 0.0204x +
34.467
R² = 0.0032
0
50
100
150
200
250
0 50 100
TOT_RX_CST_AMT
DAYS_SUPLY_NUM
DAYS_SUPLY_NUM Line Fit Plot
TOT_RX_CST_AMT
Predicted
TOT_RX_CST_AMT
Linear
(TOT_RX_CST_AMT)
Poly.
(TOT_RX_CST_AMT)
Poly.
(TOT_RX_CST_AMT)
11. CONCLUSIONS: REAL TIME ANALYTICS: STORE AND
ANALYZE ONLY WHAT IS NEEDED. SHAVE COSTS OFF!
• High- Low Fraud Condition: Low drug quantity sold for
high price and high drug quantity sold at low price in
order to stay below the radar.
•It all adds up- 1000 times $10 per capsule is > than 50
times $100/ tablet. You make money from Fraud!
•Similar pattern for Days_supply:- 30 days is more
frequent than 90 days for the same price. Helps to make
money more frequently from fraud.
•Very few patients showed up for 60 Days_supply! Many
of the same patients from 30 days showed up in 90 days
supply to raise no suspicion….
12. TECHNICAL PRESENTATION OF NAVIN KUMAR SINHA,
DOUBLE CHECK CONSULTING: 952-905-6636
(SINHANAVIN@HOTMAIL.COM).
PUBLIC VIEW: AS WITH OTHER PRODUCTS OF DOUBLE
CHECK CONSULTING (DATAVISIONS AND
DATACONNECTIONS), THIS IS ALSO PUBLIC VIEW OF MED-
DETECTION PRODUCT.
THERE IS LOT MORE HERE BUT PUTTING 500 SLIDES IS
INCONVENIENCE TO ALL.
THANK YOU FOR YOUR TIME AND INTERESTS.
MATHEMATICS IS BEAUTIFUL- CHEERS!
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