100 items 100 baskets divisor association analysis problem The 2019 Stack Overflow Developer Survey Results Are InHow does SQL Server Analysis Services compare to R?Question about (Python/Orange) Apriori associative algorithmCalculate the overall accuracy of mined rules using apiriori algorithmDoes the count of items in a transaction matter to apriori?Data sources problemRecognize a grammar in a sequence of fuzzy tokensItems in a transaction must be unique but got WrappedArrayWhat is confidence reflexivity in association rules?Mining Association rules from a data warehouse and a transactional database
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100 items 100 baskets divisor association analysis problem
The 2019 Stack Overflow Developer Survey Results Are InHow does SQL Server Analysis Services compare to R?Question about (Python/Orange) Apriori associative algorithmCalculate the overall accuracy of mined rules using apiriori algorithmDoes the count of items in a transaction matter to apriori?Data sources problemRecognize a grammar in a sequence of fuzzy tokensItems in a transaction must be unique but got WrappedArrayWhat is confidence reflexivity in association rules?Mining Association rules from a data warehouse and a transactional database
$begingroup$
I have the following exercise question:
Suppose there are 100 items, numbered 1 to 100, and also 100 baskets, also numbered 1 to 100. Item i is in basket b if and only if i divides b with no remainder. Thus, item 1 is in all the baskets, item 2 is in all fifty of the even-numbered baskets, etc. for example Basket 12 consists of items 1, 2, 3, 4, 6, 12
Given this, I'm trying to solve the following 3 questions:
(a) If the support threshold is 5, which items are frequent?
(b) what is the confidence of the following association rules?
(1) 5, 7 → 2.
(2) 2, 3, 4→ 5.
which way I should be approaching these types of questions?
data-mining market-basket-analysis
$endgroup$
add a comment |
$begingroup$
I have the following exercise question:
Suppose there are 100 items, numbered 1 to 100, and also 100 baskets, also numbered 1 to 100. Item i is in basket b if and only if i divides b with no remainder. Thus, item 1 is in all the baskets, item 2 is in all fifty of the even-numbered baskets, etc. for example Basket 12 consists of items 1, 2, 3, 4, 6, 12
Given this, I'm trying to solve the following 3 questions:
(a) If the support threshold is 5, which items are frequent?
(b) what is the confidence of the following association rules?
(1) 5, 7 → 2.
(2) 2, 3, 4→ 5.
which way I should be approaching these types of questions?
data-mining market-basket-analysis
$endgroup$
$begingroup$
Isn't this best suited for Mathematics SE or maybe Cross-validated SE ? I fail to see how this is related to Data Science, this is rather related to pure probability/set math and how it fit data-mining itself. Note: Although this is an important concept for the tags referred this is not applied but rather pure math.
$endgroup$
– Pedro Henrique Monforte
9 hours ago
add a comment |
$begingroup$
I have the following exercise question:
Suppose there are 100 items, numbered 1 to 100, and also 100 baskets, also numbered 1 to 100. Item i is in basket b if and only if i divides b with no remainder. Thus, item 1 is in all the baskets, item 2 is in all fifty of the even-numbered baskets, etc. for example Basket 12 consists of items 1, 2, 3, 4, 6, 12
Given this, I'm trying to solve the following 3 questions:
(a) If the support threshold is 5, which items are frequent?
(b) what is the confidence of the following association rules?
(1) 5, 7 → 2.
(2) 2, 3, 4→ 5.
which way I should be approaching these types of questions?
data-mining market-basket-analysis
$endgroup$
I have the following exercise question:
Suppose there are 100 items, numbered 1 to 100, and also 100 baskets, also numbered 1 to 100. Item i is in basket b if and only if i divides b with no remainder. Thus, item 1 is in all the baskets, item 2 is in all fifty of the even-numbered baskets, etc. for example Basket 12 consists of items 1, 2, 3, 4, 6, 12
Given this, I'm trying to solve the following 3 questions:
(a) If the support threshold is 5, which items are frequent?
(b) what is the confidence of the following association rules?
(1) 5, 7 → 2.
(2) 2, 3, 4→ 5.
which way I should be approaching these types of questions?
data-mining market-basket-analysis
data-mining market-basket-analysis
edited Jan 31 at 23:34
deshawn
asked Jan 28 at 23:49
deshawndeshawn
23
23
$begingroup$
Isn't this best suited for Mathematics SE or maybe Cross-validated SE ? I fail to see how this is related to Data Science, this is rather related to pure probability/set math and how it fit data-mining itself. Note: Although this is an important concept for the tags referred this is not applied but rather pure math.
$endgroup$
– Pedro Henrique Monforte
9 hours ago
add a comment |
$begingroup$
Isn't this best suited for Mathematics SE or maybe Cross-validated SE ? I fail to see how this is related to Data Science, this is rather related to pure probability/set math and how it fit data-mining itself. Note: Although this is an important concept for the tags referred this is not applied but rather pure math.
$endgroup$
– Pedro Henrique Monforte
9 hours ago
$begingroup$
Isn't this best suited for Mathematics SE or maybe Cross-validated SE ? I fail to see how this is related to Data Science, this is rather related to pure probability/set math and how it fit data-mining itself. Note: Although this is an important concept for the tags referred this is not applied but rather pure math.
$endgroup$
– Pedro Henrique Monforte
9 hours ago
$begingroup$
Isn't this best suited for Mathematics SE or maybe Cross-validated SE ? I fail to see how this is related to Data Science, this is rather related to pure probability/set math and how it fit data-mining itself. Note: Although this is an important concept for the tags referred this is not applied but rather pure math.
$endgroup$
– Pedro Henrique Monforte
9 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
a) The items that are frequent are $1,2,3,4,5,dots,20$ because these all appear in at least 5 baskets.
b)
(1) $5, 7 → 2$. Then $Confidence=frac12$
hence 5 and 7 will appear together in basket no. 35 and 70 and 2 will appear along with 7 and 5 in basket no. 70 so:
$$ Confidence = fracsupport(5,7cup2)support(5,7)= frac12 $$
(2) $2, 3, 4→ 5$. Then $Confidence=frac18 $
$2,3,4$ appear in baskets having basket number multiple of 12 ($LCM2,3,4$) i.e in basket no $12,24,...,60,.....,96$ and $2,3,4,5$ appear together only in basket no 60.
$→ Confidence=frac18$
New contributor
$endgroup$
add a comment |
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$begingroup$
a) The items that are frequent are $1,2,3,4,5,dots,20$ because these all appear in at least 5 baskets.
b)
(1) $5, 7 → 2$. Then $Confidence=frac12$
hence 5 and 7 will appear together in basket no. 35 and 70 and 2 will appear along with 7 and 5 in basket no. 70 so:
$$ Confidence = fracsupport(5,7cup2)support(5,7)= frac12 $$
(2) $2, 3, 4→ 5$. Then $Confidence=frac18 $
$2,3,4$ appear in baskets having basket number multiple of 12 ($LCM2,3,4$) i.e in basket no $12,24,...,60,.....,96$ and $2,3,4,5$ appear together only in basket no 60.
$→ Confidence=frac18$
New contributor
$endgroup$
add a comment |
$begingroup$
a) The items that are frequent are $1,2,3,4,5,dots,20$ because these all appear in at least 5 baskets.
b)
(1) $5, 7 → 2$. Then $Confidence=frac12$
hence 5 and 7 will appear together in basket no. 35 and 70 and 2 will appear along with 7 and 5 in basket no. 70 so:
$$ Confidence = fracsupport(5,7cup2)support(5,7)= frac12 $$
(2) $2, 3, 4→ 5$. Then $Confidence=frac18 $
$2,3,4$ appear in baskets having basket number multiple of 12 ($LCM2,3,4$) i.e in basket no $12,24,...,60,.....,96$ and $2,3,4,5$ appear together only in basket no 60.
$→ Confidence=frac18$
New contributor
$endgroup$
add a comment |
$begingroup$
a) The items that are frequent are $1,2,3,4,5,dots,20$ because these all appear in at least 5 baskets.
b)
(1) $5, 7 → 2$. Then $Confidence=frac12$
hence 5 and 7 will appear together in basket no. 35 and 70 and 2 will appear along with 7 and 5 in basket no. 70 so:
$$ Confidence = fracsupport(5,7cup2)support(5,7)= frac12 $$
(2) $2, 3, 4→ 5$. Then $Confidence=frac18 $
$2,3,4$ appear in baskets having basket number multiple of 12 ($LCM2,3,4$) i.e in basket no $12,24,...,60,.....,96$ and $2,3,4,5$ appear together only in basket no 60.
$→ Confidence=frac18$
New contributor
$endgroup$
a) The items that are frequent are $1,2,3,4,5,dots,20$ because these all appear in at least 5 baskets.
b)
(1) $5, 7 → 2$. Then $Confidence=frac12$
hence 5 and 7 will appear together in basket no. 35 and 70 and 2 will appear along with 7 and 5 in basket no. 70 so:
$$ Confidence = fracsupport(5,7cup2)support(5,7)= frac12 $$
(2) $2, 3, 4→ 5$. Then $Confidence=frac18 $
$2,3,4$ appear in baskets having basket number multiple of 12 ($LCM2,3,4$) i.e in basket no $12,24,...,60,.....,96$ and $2,3,4,5$ appear together only in basket no 60.
$→ Confidence=frac18$
New contributor
edited 7 hours ago
Pedro Henrique Monforte
366111
366111
New contributor
answered 10 hours ago
user71202user71202
112
112
New contributor
New contributor
add a comment |
add a comment |
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$begingroup$
Isn't this best suited for Mathematics SE or maybe Cross-validated SE ? I fail to see how this is related to Data Science, this is rather related to pure probability/set math and how it fit data-mining itself. Note: Although this is an important concept for the tags referred this is not applied but rather pure math.
$endgroup$
– Pedro Henrique Monforte
9 hours ago