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Ties or No Ties
The document discusses how to determine if ranked or scaled data contains ties. It explains that the statistical method used depends on whether there are ties - Kendall's Tau is used if there are ties, while Spearman's Rho is used if there are no ties. Examples are provided of data sets where rankings and scaled values are tied to illustrate when each statistical method would be appropriate.
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Ties or No Ties
- 1. Does your rankordered or scaled skewed data have ties?
- 2. The question beforeyou at this point is: “Are there ties among the rank ordered data I’m working with or not?”
- 3. The question beforeyou at this point is: “Are there ties among the data I’m working with or not?”
- 4. Your options ofcourse are:
- 5. Your options ofcourse are: There are TIES There are NO TIES
- 6. Let’s consider anexample:
- 7. You have beenasked to determine if there is a relationship between gender and spelling bee competition rankings.
- 8. You have beenasked to determine if there is a relationship between gender and spelling bee competition rankings. Marathon Runners Gender Spelling Bee Rank A 1 6th B 2 6th C 2 4th D 2 2nd E 1 7th F 1 1st G 2 3rd
- 9. You have beenasked to determine if there is a relationship between gender and spelling bee competition rankings. Marathon Runners Gender Spelling Bee Rank A 1 6th B 2 6th C 2 4th D 2 2nd E 1 7th F 1 1st G 2 3rd Notice that these two runners have a tied ranking
- 10. When the rankingsare tied you will use a statistical method called Kendall’s Tau.
- 11. When the rankingsare tied you will use a statistical method called Kendall’s Tau. Spelling Bee Rank 6th 6th 4th
- 12. When the rankingsare tied you will use a statistical method called Kendall’s Tau. Spelling Bee Rank 6th 6th 4th When the rankings are not tied you will use a statistical method called Spearman’s Rho. Spelling Bee Rank 6th 5th 4th
- 13. This would bethe same if your scaled (skewed) data had ties.
- 14. This would bethe same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 100 $100 Feb 200 $200 Mar 300 $300 Apr 400 $400 May 500 $500 Jun 600 $300 Jul 700 $200 Aug 600 $100 Sep 500 $300 Oct 400 $200 Nov 300 $400 Dec 800 $1000 Notice that these two temperature readings are tied
- 15. This would bethe same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 100 $100 Feb 200 $200 Mar 300 $300 Apr 400 $400 May 500 $500 Jun 600 $300 Jul 700 $200 Aug 600 $100 Sep 500 $300 Oct 400 $200 Nov 300 $400 Dec 800 $1000 And these are tied as well
- 16. This would bethe same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 100 $100 Feb 200 $200 Mar 300 $300 Apr 400 $400 May 500 $500 Jun 600 $300 Jul 700 $200 Aug 600 $100 Sep 500 $300 Oct 400 $200 Nov 300 $400 Dec 800 $1000 And these are tied as well
- 17. This would bethe same if your scaled (skewed) data had ties. Month Average Daily Temperature Average Daily Ice Cream Sales Jan 100 $100 Feb 200 $200 Mar 300 $300 Apr 400 $400 May 500 $500 Jun 600 $300 Jul 700 $200 Aug 600 $100 Sep 500 $300 Oct 400 $200 Nov 300 $400 Dec 800 $1000 And so are these
- 18. Which option wouldbe most appropriate for the data set you are working with: There are TIES There are NO TIES
Editor's Notes
- #3 The question before you at this point is - are there ties among the rank ordered data you are working or not? Show example of two data sets. When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #4 The question before you at this point is - are there ties among the rank ordered data you are working or not? Show example of two data sets. When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #5 The question before you at this point is - are there ties among the rank ordered data you are working or not? Show example of two data sets. When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #6 The question before you at this point is - are there ties among the rank ordered data you are working or not? Show example of two data sets. When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #7 The question before you at this point is - are there ties among the rank ordered data you are working or not? Show example of two data sets. When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #8 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #9 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #10 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #11 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #12 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #13 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #14 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #15 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #16 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #17 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks
- #18 When dealing with ordinal by ordinal variables without any ties, you will use a Spearman's Rho Rank (?) If there are ties you will use a Kendall Tau (show data set) Based on the question or problem you are working with, which option would be most appropriate to choose? -There are ties among the ranks -There are no ties among the ranks