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1. Suppose a group of 12 students with the test scores listed as follows:19,
71, 48, 63, 35, 85, 69, 81, 72, 88, 99, 95. Partition them into four bins
(a) equal-frequency (equi-depth) method
(b) equal-width method
(c) an even better method (such as clustering).
2. What are the value ranges of the following normalization methods,
(a) min-max normalization,
(b) z-score normalization,
(c) normalization by decimal scaling?
3. Table below shows how many transactions containing beer and/or nuts
among 10000 transactions.
Beer No Beer total
Nuts 50 800 850
No Nuts 150 9000 9150
Total 200 9800 10000
(a) (roughly) calculate X^2 ,
(b) calculate lift,
(c) calculate all-conconfidence,
(d) based on your calculations, how do you conclude the relationship
between buying beer and buying nuts?
Hint: The formulae to compute x^2 , lift and all-condence are as follows.
X^2 =sum (observed expected)^2
lif t =P(A U B)/P(A)P(B)
all conf(X) =sup(X)/max item sup(X)=sup(X)maxfsup(ij)j8ij 2 Xg
where maxfsup(ij)j8ij 2 Xg is the maximum (single) item support of
all the items in X.
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