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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










0












$begingroup$


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?










share|improve this question











$endgroup$











  • $begingroup$
    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















0












$begingroup$


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?










share|improve this question











$endgroup$











  • $begingroup$
    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













0












0








0





$begingroup$


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?










share|improve this question











$endgroup$




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






share|improve this question















share|improve this question













share|improve this question




share|improve this question








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
















  • $begingroup$
    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










1 Answer
1






active

oldest

votes


















1












$begingroup$

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.



$→ Confidence=frac18$






share|improve this answer










New contributor




user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






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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.



    $→ Confidence=frac18$






    share|improve this answer










    New contributor




    user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






    $endgroup$

















      1












      $begingroup$

      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.



      $→ Confidence=frac18$






      share|improve this answer










      New contributor




      user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      $endgroup$















        1












        1








        1





        $begingroup$

        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.



        $→ Confidence=frac18$






        share|improve this answer










        New contributor




        user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.






        $endgroup$



        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.



        $→ Confidence=frac18$







        share|improve this answer










        New contributor




        user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        share|improve this answer



        share|improve this answer








        edited 7 hours ago









        Pedro Henrique Monforte

        366111




        366111






        New contributor




        user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        answered 10 hours ago









        user71202user71202

        112




        112




        New contributor




        user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.





        New contributor





        user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.






        user71202 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.



























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