SlideShare a Scribd company logo
1 of 11
© DataMites™. All Rights Reserved | www.datamites.com
Welcome to
Data Science Course in
Bangalore
DataMites Part 10
Accredited by IABAC™
© DataMites™. All Rights Reserved | www.datamites.com DATA SCIENCE FOUNDATION 2
STRUCTURAL EQUATION MODEL
IN
DATA SCIENCE
Accredited by IABAC™
© DataMites™. All Rights Reserved | www.datamites.com
Structural Equation Models
DATA SCIENCE FOUNDATION 3
Also known as:
Covariance structure models
Latent variable models
“LISREL” models
Structural Equations with Latent Variables
SEM is a most popularly used Non-Parametric model involving below cases:
• ANOVA
• Multiple regression
• Path analysis
• Confirmatory Factor Analysis
• Recursive and Nonrecursive systems
© DataMites™. All Rights Reserved | www.datamites.com
DATA SCIENCE FOUNDATION
4
intelligence
test 1 test 2 test 3 test 4 test 5
δ1 δ2 δ3 δ4 δ5
Path diagram
Latent variables, factors, constructs
Observed variables, measures,
indicators, manifest variables
Direction of influence, relationship from
one variable to another
Association not explained within the
model
SEM Notations:
© DataMites™. All Rights Reserved | www.datamites.com
Depress 1 Depress 2 Depress 3
Self rating MD rating # visits to MD
Self rated
closeness
Spousal
rating
Kids rating
Family support depression
Physical health
δ1 δ2 δ3
ε4 ε 5 ε 6
ε1 ε 2 ε 3
ζ1
ζ2
© DataMites™. All Rights Reserved | www.datamites.com
What are Structural Equation Models?
• What can you do with these models?
– Latent and Observed Variables
– Multiple indicators of same concept
– Measurement error
– Restrictions on model parameters
– Tests of model fit
© DataMites™. All Rights Reserved | www.datamites.com
What are Structural Equation Models?
• What can’t you do?
– Prove causation
– Prove a model is “correct”
All models
Models consistent with data
Models consistent
with reality
(Mueller 1997)
© DataMites™. All Rights Reserved | www.datamites.com
Notation
ε1
y1
ε2
y2
ε3
y3
ε4
y4
ε5
y5
ε6
y6
ε7
y7
ε8
y8
δ1
x1
δ2
x2
δ3
x3
η1
ξ1
η2
ζ1 ζ2β21
γ21
γ11
λ1 λ2 λ3
λ4 λ5 λ6 λ7 λ8 λ9 λ10 λ11
ξ1= industrialization
η1 = democracy time 1
η2 = democracy time 2
x1-x3 = indus. indicators, e.g., energy
y1-y4 = democ. indicators time 1
y5-y8 = democ. indicators time 2
© DataMites™. All Rights Reserved | www.datamites.com
Notation
• η Latent Endogenous Variable
• ξ Latent Exogenous Variable
• ζ Unexplained Error in Model
• x & y Observed Variables
• δ & ε Measurement Errors
• λ, β, & γ Coefficients
© DataMites™. All Rights Reserved | www.datamites.com
Notation
• Two components to a SEM
– Latent variable model
• Relationship between the latent variables
ζΓξΒηη 
δξΛx x 
εηΛy y 
 Measurement model
• Relationship between the latent and observed variables
© DataMites™. All Rights Reserved | www.datamites.com
DataMites™ is a global institute of Data Science, Machine Learning, IoT and Artificial Intelligence
Training and Consulting for individuals and Corporate.
For courses enquires
Call : +4420 8089 9220 (UK) (USA) | 1800 313 3434 (India Toll Free)
Email : enquiry@datamites.com | Corporate Clients : corp@datamites.com
If you are looking for Data Science Courses in Bangalore please visit:
https://datamites.com/data-science-course-training-bangalore/
DataMites

More Related Content

More from DataMites

More from DataMites (20)

Certified Data Analytics Course in Chennai-April
Certified Data Analytics Course in Chennai-AprilCertified Data Analytics Course in Chennai-April
Certified Data Analytics Course in Chennai-April
 
Certified Data Science Course in Pune-April
Certified Data Science Course in Pune-AprilCertified Data Science Course in Pune-April
Certified Data Science Course in Pune-April
 
Certified Data Analytics Course in Chennai-April
Certified Data Analytics Course in Chennai-AprilCertified Data Analytics Course in Chennai-April
Certified Data Analytics Course in Chennai-April
 
Certified Data Science Training in Pune-April
Certified Data Science Training in Pune-AprilCertified Data Science Training in Pune-April
Certified Data Science Training in Pune-April
 
Certified Data Analytics Training in Pune-April
Certified Data Analytics Training in Pune-AprilCertified Data Analytics Training in Pune-April
Certified Data Analytics Training in Pune-April
 
Certified Data Analytics Course in Chennai-April
Certified Data Analytics Course in Chennai-AprilCertified Data Analytics Course in Chennai-April
Certified Data Analytics Course in Chennai-April
 
Certified Data Science Training in Pune-April
Certified Data Science Training in Pune-AprilCertified Data Science Training in Pune-April
Certified Data Science Training in Pune-April
 
Certified Data Analyst Course in Pune-April
Certified Data Analyst Course in Pune-AprilCertified Data Analyst Course in Pune-April
Certified Data Analyst Course in Pune-April
 
Certified Data Analyst Course in Chennai-April
Certified Data Analyst Course in Chennai-AprilCertified Data Analyst Course in Chennai-April
Certified Data Analyst Course in Chennai-April
 
Certified Data Scientist Course in Pune-April.pptx
Certified Data Scientist Course in Pune-April.pptxCertified Data Scientist Course in Pune-April.pptx
Certified Data Scientist Course in Pune-April.pptx
 
Certified Data Analyst Course in Pune-March
Certified Data Analyst Course in Pune-MarchCertified Data Analyst Course in Pune-March
Certified Data Analyst Course in Pune-March
 
Certified Data Analyst Course in Chennai-March
Certified Data Analyst Course in Chennai-MarchCertified Data Analyst Course in Chennai-March
Certified Data Analyst Course in Chennai-March
 
Certified Data Science Course in Pune-March
Certified Data Science Course in Pune-MarchCertified Data Science Course in Pune-March
Certified Data Science Course in Pune-March
 
Certified Data Science Course in Chennai-March
Certified Data Science Course in Chennai-MarchCertified Data Science Course in Chennai-March
Certified Data Science Course in Chennai-March
 
Data Analytics Certification in Pune-March
Data Analytics Certification in Pune-MarchData Analytics Certification in Pune-March
Data Analytics Certification in Pune-March
 
Data Analytics Certification in Chennai-March
Data Analytics Certification in Chennai-MarchData Analytics Certification in Chennai-March
Data Analytics Certification in Chennai-March
 
Data Science Certification in Pune-March
Data Science Certification in Pune-MarchData Science Certification in Pune-March
Data Science Certification in Pune-March
 
Data Science Certification in Chennai-March
Data Science Certification in Chennai-MarchData Science Certification in Chennai-March
Data Science Certification in Chennai-March
 
Certified Data Analyst Training in Pune-March
Certified Data Analyst Training in Pune-MarchCertified Data Analyst Training in Pune-March
Certified Data Analyst Training in Pune-March
 
Data Analytics Training in Chennai-March
Data Analytics Training in Chennai-MarchData Analytics Training in Chennai-March
Data Analytics Training in Chennai-March
 

Recently uploaded

Recently uploaded (20)

Major project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategiesMajor project report on Tata Motors and its marketing strategies
Major project report on Tata Motors and its marketing strategies
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community PartnershipsSpring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
 
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
24 ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH SỞ GIÁO DỤC HẢI DƯ...
 
Improved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio AppImproved Approval Flow in Odoo 17 Studio App
Improved Approval Flow in Odoo 17 Studio App
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptx
 
8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management8 Tips for Effective Working Capital Management
8 Tips for Effective Working Capital Management
 
How to Manage Closest Location in Odoo 17 Inventory
How to Manage Closest Location in Odoo 17 InventoryHow to Manage Closest Location in Odoo 17 Inventory
How to Manage Closest Location in Odoo 17 Inventory
 
e-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopale-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopal
 
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...When Quality Assurance Meets Innovation in Higher Education - Report launch w...
When Quality Assurance Meets Innovation in Higher Education - Report launch w...
 
An overview of the various scriptures in Hinduism
An overview of the various scriptures in HinduismAn overview of the various scriptures in Hinduism
An overview of the various scriptures in Hinduism
 
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptxAnalyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
Analyzing and resolving a communication crisis in Dhaka textiles LTD.pptx
 
The Liver & Gallbladder (Anatomy & Physiology).pptx
The Liver &  Gallbladder (Anatomy & Physiology).pptxThe Liver &  Gallbladder (Anatomy & Physiology).pptx
The Liver & Gallbladder (Anatomy & Physiology).pptx
 
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
ĐỀ THAM KHẢO KÌ THI TUYỂN SINH VÀO LỚP 10 MÔN TIẾNG ANH FORM 50 CÂU TRẮC NGHI...
 
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
Exploring Gemini AI and Integration with MuleSoft | MuleSoft Mysore Meetup #45
 
Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
 Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
Envelope of Discrepancy in Orthodontics: Enhancing Precision in Treatment
 
ANTI PARKISON DRUGS.pptx
ANTI         PARKISON          DRUGS.pptxANTI         PARKISON          DRUGS.pptx
ANTI PARKISON DRUGS.pptx
 
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
 
philosophy and it's principles based on the life
philosophy and it's principles based on the lifephilosophy and it's principles based on the life
philosophy and it's principles based on the life
 
Dementia (Alzheimer & vasular dementia).
Dementia (Alzheimer & vasular dementia).Dementia (Alzheimer & vasular dementia).
Dementia (Alzheimer & vasular dementia).
 

Data Science Training Courses - Part 10

  • 1. © DataMites™. All Rights Reserved | www.datamites.com Welcome to Data Science Course in Bangalore DataMites Part 10 Accredited by IABAC™
  • 2. © DataMites™. All Rights Reserved | www.datamites.com DATA SCIENCE FOUNDATION 2 STRUCTURAL EQUATION MODEL IN DATA SCIENCE Accredited by IABAC™
  • 3. © DataMites™. All Rights Reserved | www.datamites.com Structural Equation Models DATA SCIENCE FOUNDATION 3 Also known as: Covariance structure models Latent variable models “LISREL” models Structural Equations with Latent Variables SEM is a most popularly used Non-Parametric model involving below cases: • ANOVA • Multiple regression • Path analysis • Confirmatory Factor Analysis • Recursive and Nonrecursive systems
  • 4. © DataMites™. All Rights Reserved | www.datamites.com DATA SCIENCE FOUNDATION 4 intelligence test 1 test 2 test 3 test 4 test 5 δ1 δ2 δ3 δ4 δ5 Path diagram Latent variables, factors, constructs Observed variables, measures, indicators, manifest variables Direction of influence, relationship from one variable to another Association not explained within the model SEM Notations:
  • 5. © DataMites™. All Rights Reserved | www.datamites.com Depress 1 Depress 2 Depress 3 Self rating MD rating # visits to MD Self rated closeness Spousal rating Kids rating Family support depression Physical health δ1 δ2 δ3 ε4 ε 5 ε 6 ε1 ε 2 ε 3 ζ1 ζ2
  • 6. © DataMites™. All Rights Reserved | www.datamites.com What are Structural Equation Models? • What can you do with these models? – Latent and Observed Variables – Multiple indicators of same concept – Measurement error – Restrictions on model parameters – Tests of model fit
  • 7. © DataMites™. All Rights Reserved | www.datamites.com What are Structural Equation Models? • What can’t you do? – Prove causation – Prove a model is “correct” All models Models consistent with data Models consistent with reality (Mueller 1997)
  • 8. © DataMites™. All Rights Reserved | www.datamites.com Notation ε1 y1 ε2 y2 ε3 y3 ε4 y4 ε5 y5 ε6 y6 ε7 y7 ε8 y8 δ1 x1 δ2 x2 δ3 x3 η1 ξ1 η2 ζ1 ζ2β21 γ21 γ11 λ1 λ2 λ3 λ4 λ5 λ6 λ7 λ8 λ9 λ10 λ11 ξ1= industrialization η1 = democracy time 1 η2 = democracy time 2 x1-x3 = indus. indicators, e.g., energy y1-y4 = democ. indicators time 1 y5-y8 = democ. indicators time 2
  • 9. © DataMites™. All Rights Reserved | www.datamites.com Notation • η Latent Endogenous Variable • ξ Latent Exogenous Variable • ζ Unexplained Error in Model • x & y Observed Variables • δ & ε Measurement Errors • λ, β, & γ Coefficients
  • 10. © DataMites™. All Rights Reserved | www.datamites.com Notation • Two components to a SEM – Latent variable model • Relationship between the latent variables ζΓξΒηη  δξΛx x  εηΛy y   Measurement model • Relationship between the latent and observed variables
  • 11. © DataMites™. All Rights Reserved | www.datamites.com DataMites™ is a global institute of Data Science, Machine Learning, IoT and Artificial Intelligence Training and Consulting for individuals and Corporate. For courses enquires Call : +4420 8089 9220 (UK) (USA) | 1800 313 3434 (India Toll Free) Email : enquiry@datamites.com | Corporate Clients : corp@datamites.com If you are looking for Data Science Courses in Bangalore please visit: https://datamites.com/data-science-course-training-bangalore/ DataMites