ChiMerge Technique Example

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Presentation transcript:

ChiMerge Technique Example Sample Feature Class 1 2 3 7 4 8 5 9 6 11 23 37 39 10 45 46 12 59 •Interval points for feature F are: 0, 2, 5, 7.5, 8.5, 10, etc. •χ2 was minimum for intervals: [7.5, 8.5] and [8.5, 10]

ChiMergeTechnique (Example) •Based on the table’s values, we can calculate expected values: E11 = 2/2 = 1,E12 = 0/2 ≈0.1, E21 = 2/2 = 1, and E22 = 0/2 ≈0.1 •And corresponding χ2 test: χ2= (1 –1)2/ 1 + (0 –0.1)2/ 0.1 + (1 –1)2/ 1 + (0 –0.1)2/ 0.1 = 0.2 For the degree of freedom d=1, and χ2= 0.2 < 2.706 ( MERGE !)

ChiMergeTechnique (Example) •E11= 2.78, E12=2.22, E21= 2.22, E22= 1.78, and χ2= 2.72 > 2.706 (NO MERGE !) •Final discretization: [0, 10], [10, 42], and [42, 60]