Ties or No Ties

Ties or No Ties

1. Does your rank ordered or scaled skewed data have ties?

2. The question before you at this point is: “Are there ties among the rank ordered data I’m working with or not ?”

3. The question before you at this point is: “Are there ties among the data I’m working with or not ?”

4. Your options of course are:

5. Your options of course are: There are NO TIES There are TIES

6. Let’s consider an example:

7. You have been asked to determine if there is a relationship between gender and spelling bee competition rankings.

8. You have been asked to determine if there is a relationship between gender and spelling bee competition rankings. Marathon Runners Gender Spelling Bee Rank A 1 6 th B 2 6 th C 2 4 th D 2 2 nd E 1 7 th F 1 1 st G 2 3 rd

9. You have been asked to determine if there is a relationship between gender and spelling bee competition rankings. Marathon Runners Gender Spelling Bee Rank A 1 6 th B 2 6 th C 2 4 th D 2 2 nd E 1 7 th F 1 1 st G 2 3 rd Notice that these two runners have a tied ranking

10. When the rankings are tied you will use a statistical method called Kendall’s Tau.

11. When the rankings are tied you will use a statistical method called Kendall’s Tau. Spelling Bee Rank 6 th 6 th 4 th

12. When the rankings are tied you will use a statistical method called Kendall’s Tau. When the rankings are not tied you will use a statistical method called Spearman’s Rho. Spelling Bee Rank 6 th 5 th 4 th Spelling Bee Rank 6 th 6 th 4 th

13. This would be the same if your scaled (skewed) data had ties.

14. This would be the same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 10 $100 Feb 20 $200 Mar 30 $300 Apr 40 $400 May 50 $500 Jun 60 $300 Jul 70 $200 Aug 60 $100 Sep 50 $300 Oct 40 $200 Nov 30 $400 Dec 80 $1000 Notice that these two temperature readings are tied

15. This would be the same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 10 $100 Feb 20 $200 Mar 30 $300 Apr 40 $400 May 50 $500 Jun 60 $300 Jul 70 $200 Aug 60 $100 Sep 50 $300 Oct 40 $200 Nov 30 $400 Dec 80 $1000 And these are tied as well

16. This would be the same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 10 $100 Feb 20 $200 Mar 30 $300 Apr 40 $400 May 50 $500 Jun 60 $300 Jul 70 $200 Aug 60 $100 Sep 50 $300 Oct 40 $200 Nov 30 $400 Dec 80 $1000 And these are tied as well

17. This would be the same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 10 $100 Feb 20 $200 Mar 30 $300 Apr 40 $400 May 50 $500 Jun 60 $300 Jul 70 $200 Aug 60 $100 Sep 50 $300 Oct 40 $200 Nov 30 $400 Dec 80 $1000 And so are these

18. Which option would be most appropriate for the data set you are working with: There are NO TIES There are TIES