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Does your rank ordered or scaled skewed data have ties?
18

Ties or No Ties

Jul 02, 2015

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Ties or No Ties
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Page 1: Ties or No Ties

Does your rank ordered or scaled skewed data have ties?

Page 2: Ties or No Ties

The question before you at this point is:

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

Page 3: Ties or No Ties

The question before you at this point is:

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

Page 4: Ties or No Ties

Your options of course are:

Page 5: Ties or No Ties

Your options of course are:

There are NO TIES

There are TIES

Page 6: Ties or No Ties

Let’s consider an example:

Page 7: Ties or No Ties

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

Page 8: Ties or No Ties

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

Page 9: Ties or No Ties

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

Page 10: Ties or No Ties

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

Page 11: Ties or No Ties

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

Spelling Bee Rank

6th

6th

4th

Page 12: Ties or No Ties

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

Page 13: Ties or No Ties

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

Page 14: Ties or No 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

Page 15: Ties or No 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

And these are tied as well

Page 16: Ties or No 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

And these are tied as well

Page 17: Ties or No 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

And so are these

Page 18: Ties or No Ties

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

There are NO TIES

There are TIES