Ties or No Ties

Does your rank ordered or scaled skewed data have ties?

The question before you at this point is:

“Are there ties among the rank ordered data I’m working with or not?”

The question before you at this point is:

“Are there ties among the data I’m working with or not?”

Your options of course are:

Your options of course are:

There are NO TIES

There are TIES

Let’s consider an example:

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

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 6th

B 2 6th

C 2 4th

D 2 2nd

E 1 7th

F 1 1st

G 2 3rd

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 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

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

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

Spelling Bee Rank

6th

6th

4th

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

6th

5th

4th

Spelling Bee Rank

6th

6th

4th

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

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

MonthAverage Daily Temperature

Average Daily Ice Cream Sales

Jan 100

$100Feb 20

0$200

Mar 300

$300Apr 40

0$400

May 500

$500Jun 60

0$300

Jul 700

$200Aug 60

0$100

Sep 500

$300Oct 40

0$200

Nov 300

$400Dec 80

0$1000

Notice that these two temperature readings are tied

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

MonthAverage Daily Temperature

Average Daily Ice Cream Sales

Jan 100

$100Feb 20

0$200

Mar 300

$300Apr 40

0$400

May 500

$500Jun 60

0$300

Jul 700

$200Aug 60

0$100

Sep 500

$300Oct 40

0$200

Nov 300

$400Dec 80

0$1000

And these are tied as well

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

MonthAverage Daily Temperature

Average Daily Ice Cream Sales

Jan 100

$100Feb 20

0$200

Mar 300

$300Apr 40

0$400

May 500

$500Jun 60

0$300

Jul 700

$200Aug 60

0$100

Sep 500

$300Oct 40

0$200

Nov 300

$400Dec 80

0$1000

And these are tied as well

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

MonthAverage Daily Temperature

Average Daily Ice Cream Sales

Jan 100

$100Feb 20

0$200

Mar 300

$300Apr 40

0$400

May 500

$500Jun 60

0$300

Jul 700

$200Aug 60

0$100

Sep 500

$300Oct 40

0$200

Nov 300

$400Dec 80

0$1000

And so are these

Which option would be most appropriate for the data set you are working with:

There are NO TIES

There are TIES