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Building Decision Tree model with numerical attributes
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Big Data Engineering, Faculty of Engineering, Dhurakij Pundit University
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Building Decision Tree model with numerical attributes
1.
การสร้างโมเดล Decision Tree
สำหรับแอตทริบิวต์ที่มีค่าตัวเลข (data)3 base|warehouse|mining http://www.dataminingtrend.com http://facebook.com/datacube.th Eakasit Pacharawongsakda, Ph.D. Data Cube: http://facebook.com/datacube.th E-mail: eakasit@datacube.asia
2.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เรียงลำดับข้อมูลที่เป็นตัวเลขจากน้อยไปมาก • แบ่งข้อมูลออกเป็น 2 ส่วนโดยการหาจุดกึ่งกลางระหว่างค่าตัวเลข 2 ค่า • คำนวณค่า Information Gain จากข้อมูล 2 ส่วนที่แบ่งได้ • เลือกจุดกึ่งกลางที่ให้ค่า Information Gain สูงที่สุดมาใช้งานต่อ 2
3.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 67.5 เป็นตัวแบ่ง ได้ค่า IG = 0.11 3 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 67.5 ID Humidity Play 7 < 67.5 no 6 > 67.5 no 9 > 67.5 yes 11 > 67.5 yes 13 > 67.5 yes 3 > 67.5 no 5 > 67.5 yes 10 > 67.5 no 14 > 67.5 yes 1 > 67.5 yes 2 > 67.5 yes 12 > 67.5 yes 8 > 67.5 yes 4 > 67.5 no กลุ่มที่ 1 กลุ่มที่ 2
4.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 72.5 เป็นตัวแบ่ง ได้ค่า IG = 0.25 4 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 72.5 ID Humidity Play 7 < 72.5 no 6 < 72.5 no 9 < 72.5 yes 11 < 72.5 yes 13 > 72.5 yes 3 > 72.5 no 5 > 72.5 yes 10 > 72.5 no 14 > 72.5 yes 1 > 72.5 yes 2 > 72.5 yes 12 > 72.5 yes 8 > 72.5 yes 4 > 72.5 no กลุ่มที่ 2 กลุ่มที่ 1
5.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 76.5 เป็นตัวแบ่ง ได้ค่า IG = 0.03 5 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 76.5 ID Humidity Play 7 < 76.5 no 6 < 76.5 no 9 < 76.5 yes 11 < 76.5 yes 13 < 76.5 yes 3 > 76.5 no 5 > 76.5 yes 10 > 76.5 no 14 > 76.5 yes 1 > 76.5 yes 2 > 76.5 yes 12 > 76.5 yes 8 > 76.5 yes 4 > 76.5 no กลุ่มที่ 1 กลุ่มที่ 2
6.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 79.0 เป็นตัวแบ่ง ได้ค่า IG = 0.05 6 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 79.0 ID Humidity Play 7 < 79.0 no 6 < 79.0 no 9 < 79.0 yes 11 < 79.0 yes 13 < 79.0 yes 3 < 79.0 no 5 > 79.0 yes 10 > 79.0 no 14 > 79.0 yes 1 > 79.0 yes 2 > 79.0 yes 12 > 79.0 yes 8 > 79.0 yes 4 > 79.0 no กลุ่มที่ 1 กลุ่มที่ 2
7.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 82.5 เป็นตัวแบ่ง ได้ค่า IG = 0.05 7 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 82.5 ID Humidity Play 7 < 82.5 no 6 < 82.5 no 9 < 82.5 yes 11 < 82.5 yes 13 < 82.5 yes 3 < 82.5 no 5 < 82.5 yes 10 < 82.5 no 14 < 82.5 yes 1 > 82.5 yes 2 > 82.5 yes 12 > 82.5 yes 8 > 82.5 yes 4 > 82.5 no กลุ่มที่ 1 กลุ่มที่ 2
8.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 87.5 เป็นตัวแบ่ง ได้ค่า IG = 0.02 8 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 87.5 ID Humidity Play 7 < 87.5 no 6 < 87.5 no 9 < 87.5 yes 11 < 87.5 yes 13 < 87.5 yes 3 < 87.5 no 5 < 87.5 yes 10 < 87.5 no 14 < 87.5 yes 1 < 87.5 yes 2 > 87.5 yes 12 > 87.5 yes 8 > 87.5 yes 4 > 87.5 no กลุ่มที่ 1 กลุ่มที่ 2
9.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 92.5 เป็นตัวแบ่ง ได้ค่า IG = 0.01 9 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 92.5 ID Humidity Play 7 < 92.5 no 6 < 92.5 no 9 < 92.5 yes 11 < 92.5 yes 13 < 92.5 yes 3 < 92.5 no 5 < 92.5 yes 10 < 92.5 no 14 < 92.5 yes 1 < 92.5 yes 2 < 92.5 yes 12 < 92.5 yes 8 > 92.5 yes 4 > 92.5 no กลุ่มที่ 1 กลุ่มที่ 2
10.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข • เมื่อใช้ Humidity = 95.5 เป็นตัวแบ่ง ได้ค่า IG = 0.01 10 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no ค่าเฉลี่ย = 95.5 ID Humidity Play 7 < 95.5 no 6 < 95.5 no 9 < 95.5 yes 11 < 95.5 yes 13 < 95.5 yes 3 < 95.5 no 5 < 95.5 yes 10 < 95.5 no 14 < 95.5 yes 1 < 95.5 yes 2 < 95.5 yes 12 < 95.5 yes 8 > 95.5 yes 4 > 95.5 no กลุ่มที่ 1 กลุ่มที่ 2
11.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ข้อมูลเป็นตัวเลข 11 ID Humidity Play 7 65.0 no 6 70.0 no 9 70.0 yes 11 70.0 yes 13 75.0 yes 3 78.0 no 5 80.0 yes 10 80.0 no 14 80.0 yes 1 85.0 yes 2 90.0 yes 12 90.0 yes 8 95.0 yes 4 96.0 no จุดตัด IG 67.5 0.11 72.5 0.25 76.5 0.03 79.0 0.05 82.5 0.05 87.5 0.02 92.5 0.01 95.5 0.01 ตารางจุดตัดและค่า Information Gain (IG) ให้ค่า IG มากที่สุด
12.
(data)3 base|warehouse|mining http://dataminingtrend.com http://facebook.com/datacube.th Decision Tree •
ในกรณีที่ใช้แอตทริบิวต์ Humidity จะได้เป็น 12 Humidity < 72.5 > 72.5 แอตทริบิวต์ play = yes แอตทริบิวต์ play = no
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