SlideShare a Scribd company logo
1 of 7


Non parametric method:
Less power but more robust.
 Does not assume normal distribution.




Also varies between -1 and 1


The usual way of writing Spearman Rank
Coefficient is:

Where:
d: differences between the ranks of the two variables
n: number of samples
X

4

4

7

25

21

7

Y

16

8

8

20 16 15 12 20 25

8

Solution: Step 1. Ho:

7

17 16

X=Y

9
Step 5. Computation of r.
X

Y

Rank X

Rank Y

D

D²

4

16

9.5

4.5

5

25

4

8

9.5

9

-0.5

0.25

7

8

7

9

-2

4

25

20

1

2.5

-1.5

2.25

7

16

7

4.5

2.5

6.25

17

15

3

6

-3

9

16

12

4

7

-3

9

9

20

5

2.5

2.5

6.25

21

25

2

1

1

1

7

8

7

9

-2

4
Step 6. Decision: Accept Ho since r = 0.594 is
less than 0.602.
Interpretation: The values of X and Y are not
related.
1. Calculate the correlation between the IQ of a
person with the number of hours spent in front of TV
per week.
IQ

Hours of TV per
week

106

7

86

0

100

27

101

50

99

28

103

29

97

20

113

12

112

6

110

17
1. Calculate the correlation between the IQ of a
person with the number of hours spent in front of TV
per week.
IQ

Hours of TV per
week

106

7

86

0

100

27

101

50

99

28

103

29

97

20

113

12

112

6

110

17

More Related Content

What's hot

Spearman's Rank order Correlation
Spearman's Rank order CorrelationSpearman's Rank order Correlation
Spearman's Rank order Correlationrkalidasan
 
Correlation and Regression
Correlation and RegressionCorrelation and Regression
Correlation and Regressionjasondroesch
 
coefficient correlation
 coefficient correlation coefficient correlation
coefficient correlationirshad narejo
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regressionAbdelaziz Tayoun
 
Pearson product moment correlation
Pearson product moment correlationPearson product moment correlation
Pearson product moment correlationDenmar Marasigan
 
Coefficient of correlation...ppt
Coefficient of correlation...pptCoefficient of correlation...ppt
Coefficient of correlation...pptRahul Dhaker
 
Multiple Correlation - Thiyagu
Multiple Correlation - ThiyaguMultiple Correlation - Thiyagu
Multiple Correlation - ThiyaguThiyagu K
 
Correlation
CorrelationCorrelation
Correlationancytd
 
Karl pearson's correlation
Karl pearson's correlationKarl pearson's correlation
Karl pearson's correlationfairoos1
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regressionAjendra7846
 
Mpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlationMpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlationVasant Kothari
 
Measures of central tendency
Measures of central tendency Measures of central tendency
Measures of central tendency Jagdish Powar
 

What's hot (20)

Spearman's Rank order Correlation
Spearman's Rank order CorrelationSpearman's Rank order Correlation
Spearman's Rank order Correlation
 
Correlation and Regression
Correlation and RegressionCorrelation and Regression
Correlation and Regression
 
Measures of variability
Measures of variabilityMeasures of variability
Measures of variability
 
coefficient correlation
 coefficient correlation coefficient correlation
coefficient correlation
 
Standard deviation
Standard deviationStandard deviation
Standard deviation
 
Rank correlation
Rank correlationRank correlation
Rank correlation
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regression
 
Correlation Analysis
Correlation AnalysisCorrelation Analysis
Correlation Analysis
 
Correlation and partial correlation
Correlation and partial correlationCorrelation and partial correlation
Correlation and partial correlation
 
Pearson product moment correlation
Pearson product moment correlationPearson product moment correlation
Pearson product moment correlation
 
Pearson Correlation
Pearson CorrelationPearson Correlation
Pearson Correlation
 
Coefficient of correlation...ppt
Coefficient of correlation...pptCoefficient of correlation...ppt
Coefficient of correlation...ppt
 
Meaning and types of correlation
Meaning and types of correlationMeaning and types of correlation
Meaning and types of correlation
 
Multiple Correlation - Thiyagu
Multiple Correlation - ThiyaguMultiple Correlation - Thiyagu
Multiple Correlation - Thiyagu
 
Correlation
CorrelationCorrelation
Correlation
 
Regression analysis
Regression analysisRegression analysis
Regression analysis
 
Karl pearson's correlation
Karl pearson's correlationKarl pearson's correlation
Karl pearson's correlation
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regression
 
Mpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlationMpc 006 - 02-03 partial and multiple correlation
Mpc 006 - 02-03 partial and multiple correlation
 
Measures of central tendency
Measures of central tendency Measures of central tendency
Measures of central tendency
 

Viewers also liked

GCSE Geography: How And Why To Use Spearman’s Rank
GCSE Geography: How And Why To Use Spearman’s RankGCSE Geography: How And Why To Use Spearman’s Rank
GCSE Geography: How And Why To Use Spearman’s RankMark Cowan
 
Correlation
CorrelationCorrelation
CorrelationTech_MX
 
What is a Spearman's Rank Order Correlation (independence)?
What is a Spearman's Rank Order Correlation (independence)?What is a Spearman's Rank Order Correlation (independence)?
What is a Spearman's Rank Order Correlation (independence)?Ken Plummer
 
Correlation analysis ppt
Correlation analysis pptCorrelation analysis ppt
Correlation analysis pptAnil Mishra
 
Measures of correlation (pearson's r correlation coefficient and spearman rho)
Measures of correlation (pearson's r correlation coefficient and spearman rho)Measures of correlation (pearson's r correlation coefficient and spearman rho)
Measures of correlation (pearson's r correlation coefficient and spearman rho)Jyl Matz
 
Correlation of subjects in school (b.ed notes)
Correlation of subjects in school (b.ed notes)Correlation of subjects in school (b.ed notes)
Correlation of subjects in school (b.ed notes)Namrata Saxena
 
Population 3.5 - Spearman’S Rank
Population 3.5 - Spearman’S RankPopulation 3.5 - Spearman’S Rank
Population 3.5 - Spearman’S RankEcumene
 
Correlation coefficient
Correlation coefficientCorrelation coefficient
Correlation coefficientCarlo Magno
 
Reporting spearman rho in apa
Reporting spearman rho in apaReporting spearman rho in apa
Reporting spearman rho in apaKen Plummer
 
Mann Whitney U Test And Chi Squared
Mann Whitney U Test And Chi SquaredMann Whitney U Test And Chi Squared
Mann Whitney U Test And Chi Squaredguest2137aa
 
Reporting Phi Coefficient test in APA
Reporting Phi Coefficient test in APAReporting Phi Coefficient test in APA
Reporting Phi Coefficient test in APAKen Plummer
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regressionMohit Asija
 
Pearson Correlation, Spearman Correlation &Linear Regression
Pearson Correlation, Spearman Correlation &Linear RegressionPearson Correlation, Spearman Correlation &Linear Regression
Pearson Correlation, Spearman Correlation &Linear RegressionAzmi Mohd Tamil
 

Viewers also liked (20)

GCSE Geography: How And Why To Use Spearman’s Rank
GCSE Geography: How And Why To Use Spearman’s RankGCSE Geography: How And Why To Use Spearman’s Rank
GCSE Geography: How And Why To Use Spearman’s Rank
 
Spearman Rank
Spearman RankSpearman Rank
Spearman Rank
 
Correlation ppt...
Correlation ppt...Correlation ppt...
Correlation ppt...
 
Correlation
CorrelationCorrelation
Correlation
 
What is a Spearman's Rank Order Correlation (independence)?
What is a Spearman's Rank Order Correlation (independence)?What is a Spearman's Rank Order Correlation (independence)?
What is a Spearman's Rank Order Correlation (independence)?
 
Correlation analysis ppt
Correlation analysis pptCorrelation analysis ppt
Correlation analysis ppt
 
Measures of correlation (pearson's r correlation coefficient and spearman rho)
Measures of correlation (pearson's r correlation coefficient and spearman rho)Measures of correlation (pearson's r correlation coefficient and spearman rho)
Measures of correlation (pearson's r correlation coefficient and spearman rho)
 
Correlation analysis
Correlation analysisCorrelation analysis
Correlation analysis
 
Correlation of subjects in school (b.ed notes)
Correlation of subjects in school (b.ed notes)Correlation of subjects in school (b.ed notes)
Correlation of subjects in school (b.ed notes)
 
Population 3.5 - Spearman’S Rank
Population 3.5 - Spearman’S RankPopulation 3.5 - Spearman’S Rank
Population 3.5 - Spearman’S Rank
 
Correlation coefficient
Correlation coefficientCorrelation coefficient
Correlation coefficient
 
Correlation
CorrelationCorrelation
Correlation
 
Reporting spearman rho in apa
Reporting spearman rho in apaReporting spearman rho in apa
Reporting spearman rho in apa
 
Mann Whitney U Test And Chi Squared
Mann Whitney U Test And Chi SquaredMann Whitney U Test And Chi Squared
Mann Whitney U Test And Chi Squared
 
Reporting Phi Coefficient test in APA
Reporting Phi Coefficient test in APAReporting Phi Coefficient test in APA
Reporting Phi Coefficient test in APA
 
Confidence interval
Confidence intervalConfidence interval
Confidence interval
 
Non parametric tests
Non parametric testsNon parametric tests
Non parametric tests
 
Correlation and regression
Correlation and regressionCorrelation and regression
Correlation and regression
 
Pearson Correlation, Spearman Correlation &Linear Regression
Pearson Correlation, Spearman Correlation &Linear RegressionPearson Correlation, Spearman Correlation &Linear Regression
Pearson Correlation, Spearman Correlation &Linear Regression
 
Non-Parametric Tests
Non-Parametric TestsNon-Parametric Tests
Non-Parametric Tests
 

More from Sharlaine Ruth

Wilcoxon Signed Rank Test
Wilcoxon Signed Rank Test Wilcoxon Signed Rank Test
Wilcoxon Signed Rank Test Sharlaine Ruth
 
Tetrachoric Correlation Coefficient
Tetrachoric Correlation CoefficientTetrachoric Correlation Coefficient
Tetrachoric Correlation CoefficientSharlaine Ruth
 
Simple Linear Regression
Simple Linear RegressionSimple Linear Regression
Simple Linear RegressionSharlaine Ruth
 
Point Bicerial Correlation Coefficient
Point Bicerial Correlation CoefficientPoint Bicerial Correlation Coefficient
Point Bicerial Correlation CoefficientSharlaine Ruth
 
Pearson product moment correlation
Pearson product moment correlationPearson product moment correlation
Pearson product moment correlationSharlaine Ruth
 
ANOVA-One Way Classification
ANOVA-One Way ClassificationANOVA-One Way Classification
ANOVA-One Way ClassificationSharlaine Ruth
 
ANOVA 2-WAY Classification
ANOVA 2-WAY ClassificationANOVA 2-WAY Classification
ANOVA 2-WAY ClassificationSharlaine Ruth
 
Portfolio Assessment Methods
Portfolio Assessment MethodsPortfolio Assessment Methods
Portfolio Assessment MethodsSharlaine Ruth
 
Probability Deck of Cards
Probability Deck of CardsProbability Deck of Cards
Probability Deck of CardsSharlaine Ruth
 

More from Sharlaine Ruth (13)

Wilcoxon Signed Rank Test
Wilcoxon Signed Rank Test Wilcoxon Signed Rank Test
Wilcoxon Signed Rank Test
 
Kruskal-Wallis H test
Kruskal-Wallis H testKruskal-Wallis H test
Kruskal-Wallis H test
 
Tetrachoric Correlation Coefficient
Tetrachoric Correlation CoefficientTetrachoric Correlation Coefficient
Tetrachoric Correlation Coefficient
 
Simple Linear Regression
Simple Linear RegressionSimple Linear Regression
Simple Linear Regression
 
Point Bicerial Correlation Coefficient
Point Bicerial Correlation CoefficientPoint Bicerial Correlation Coefficient
Point Bicerial Correlation Coefficient
 
Phi (φ) Correlation
Phi (φ) CorrelationPhi (φ) Correlation
Phi (φ) Correlation
 
Pearson product moment correlation
Pearson product moment correlationPearson product moment correlation
Pearson product moment correlation
 
Goodness of fit (ppt)
Goodness of fit (ppt)Goodness of fit (ppt)
Goodness of fit (ppt)
 
ANOVA-One Way Classification
ANOVA-One Way ClassificationANOVA-One Way Classification
ANOVA-One Way Classification
 
ANOVA 2-WAY Classification
ANOVA 2-WAY ClassificationANOVA 2-WAY Classification
ANOVA 2-WAY Classification
 
The Sign Test
The Sign TestThe Sign Test
The Sign Test
 
Portfolio Assessment Methods
Portfolio Assessment MethodsPortfolio Assessment Methods
Portfolio Assessment Methods
 
Probability Deck of Cards
Probability Deck of CardsProbability Deck of Cards
Probability Deck of Cards
 

Recently uploaded

Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...ZurliaSoop
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17Celine George
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfPoh-Sun Goh
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Association for Project Management
 
Third Battle of Panipat detailed notes.pptx
Third Battle of Panipat detailed notes.pptxThird Battle of Panipat detailed notes.pptx
Third Battle of Panipat detailed notes.pptxAmita Gupta
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701bronxfugly43
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxRamakrishna Reddy Bijjam
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17Celine George
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxVishalSingh1417
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxAreebaZafar22
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentationcamerronhm
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfSherif Taha
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfAdmir Softic
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin ClassesCeline George
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.MaryamAhmad92
 

Recently uploaded (20)

Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
Jual Obat Aborsi Hongkong ( Asli No.1 ) 085657271886 Obat Penggugur Kandungan...
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
 
Third Battle of Panipat detailed notes.pptx
Third Battle of Panipat detailed notes.pptxThird Battle of Panipat detailed notes.pptx
Third Battle of Panipat detailed notes.pptx
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 

Spearman’s Rank Correlation Coefficient

  • 1.  Non parametric method: Less power but more robust.  Does not assume normal distribution.   Also varies between -1 and 1
  • 2.  The usual way of writing Spearman Rank Coefficient is: Where: d: differences between the ranks of the two variables n: number of samples
  • 3. X 4 4 7 25 21 7 Y 16 8 8 20 16 15 12 20 25 8 Solution: Step 1. Ho: 7 17 16 X=Y 9
  • 4. Step 5. Computation of r. X Y Rank X Rank Y D D² 4 16 9.5 4.5 5 25 4 8 9.5 9 -0.5 0.25 7 8 7 9 -2 4 25 20 1 2.5 -1.5 2.25 7 16 7 4.5 2.5 6.25 17 15 3 6 -3 9 16 12 4 7 -3 9 9 20 5 2.5 2.5 6.25 21 25 2 1 1 1 7 8 7 9 -2 4
  • 5. Step 6. Decision: Accept Ho since r = 0.594 is less than 0.602. Interpretation: The values of X and Y are not related.
  • 6. 1. Calculate the correlation between the IQ of a person with the number of hours spent in front of TV per week. IQ Hours of TV per week 106 7 86 0 100 27 101 50 99 28 103 29 97 20 113 12 112 6 110 17
  • 7. 1. Calculate the correlation between the IQ of a person with the number of hours spent in front of TV per week. IQ Hours of TV per week 106 7 86 0 100 27 101 50 99 28 103 29 97 20 113 12 112 6 110 17