SlideShare a Scribd company logo
Chi-Square Test By Sanket Daptardar
Chi-Square Test ,[object Object],[object Object]
Goodness  of Fit ,[object Object],[object Object],[object Object]
Formula ,[object Object],[object Object],[object Object],[object Object]
Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Chi-Square Distribution ,[object Object],[object Object],[object Object]
Chi-Square Distribution, p. 2 ,[object Object],[object Object],[object Object]
The Critical Question ,[object Object],[object Object],[object Object],[object Object]
Reasonable ,[object Object],[object Object],[object Object],[object Object],[object Object]
Degrees of Freedom ,[object Object],[object Object],[object Object]
Critical Chi-Square ,[object Object],[object Object],[object Object]
Chi-Square Table
Using the Table ,[object Object],[object Object],[object Object]
Another Example: from Mendel 556 1 556 total 34.75 1/16 32 wrinkled green 104.25 3/16 108 wrinkled yellow 104.25 3/16 101 round green 312.75 9/16 315 round yellow expected number expected proportion observed phenotype
Finding the Expected Numbers ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Calculating the Chi-Square Value ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
D.F. and Critical Value ,[object Object],[object Object],[object Object],[object Object]
Chi-Square Table
Mendel’s Yellow vs. Green Results

More Related Content

What's hot

Laws of probability
Laws of probabilityLaws of probability
Laws of probability
Brijesh Kumar
 
Note 2 probability
Note 2 probabilityNote 2 probability
Note 2 probabilityNur Suaidah
 
Probability And Random Variable Lecture(Lec2)
Probability And Random Variable Lecture(Lec2)Probability And Random Variable Lecture(Lec2)
Probability And Random Variable Lecture(Lec2)
University of Gujrat, Pakistan
 
Counting
Counting  Counting
Statistik Chapter 3
Statistik Chapter 3Statistik Chapter 3
Statistik Chapter 3WanBK Leo
 
Binomial probability distributions
Binomial probability distributions  Binomial probability distributions
Binomial probability distributions
Long Beach City College
 
Probability
ProbabilityProbability
Probability
Sanila Khalid
 
Hypergeometric distribution
Hypergeometric distributionHypergeometric distribution
Hypergeometric distribution
mohammad nouman
 
random variable and distribution
random variable and distributionrandom variable and distribution
random variable and distribution
lovemucheca
 
Chapter 4 part4- General Probability Rules
Chapter 4 part4- General Probability RulesChapter 4 part4- General Probability Rules
Chapter 4 part4- General Probability Rules
nszakir
 
Chi squared test
Chi squared testChi squared test
Chi squared test
Victoria Seymour
 
Probability
ProbabilityProbability
Probability
Siyavula
 
Probability concepts for Data Analytics
Probability concepts for Data AnalyticsProbability concepts for Data Analytics
Probability concepts for Data Analytics
SSaudia
 
Basic Concept Of Probability
Basic Concept Of ProbabilityBasic Concept Of Probability
Basic Concept Of Probabilityguest45a926
 
Theorems And Conditional Probability
Theorems And Conditional ProbabilityTheorems And Conditional Probability
Theorems And Conditional Probability
DataminingTools Inc
 
Chapter6
Chapter6Chapter6
Binomial distribution good
Binomial distribution goodBinomial distribution good
Binomial distribution goodZahida Pervaiz
 
Probability
ProbabilityProbability
Probability
Todd Davies
 

What's hot (20)

Laws of probability
Laws of probabilityLaws of probability
Laws of probability
 
Zea mays
Zea maysZea mays
Zea mays
 
Note 2 probability
Note 2 probabilityNote 2 probability
Note 2 probability
 
Probability And Random Variable Lecture(Lec2)
Probability And Random Variable Lecture(Lec2)Probability And Random Variable Lecture(Lec2)
Probability And Random Variable Lecture(Lec2)
 
Counting
Counting  Counting
Counting
 
Statistik Chapter 3
Statistik Chapter 3Statistik Chapter 3
Statistik Chapter 3
 
Binomial probability distributions
Binomial probability distributions  Binomial probability distributions
Binomial probability distributions
 
Probability
ProbabilityProbability
Probability
 
Hypergeometric distribution
Hypergeometric distributionHypergeometric distribution
Hypergeometric distribution
 
random variable and distribution
random variable and distributionrandom variable and distribution
random variable and distribution
 
Chapter 4 part4- General Probability Rules
Chapter 4 part4- General Probability RulesChapter 4 part4- General Probability Rules
Chapter 4 part4- General Probability Rules
 
Chi squared test
Chi squared testChi squared test
Chi squared test
 
Probability
ProbabilityProbability
Probability
 
Bayes Theorem
Bayes TheoremBayes Theorem
Bayes Theorem
 
Probability concepts for Data Analytics
Probability concepts for Data AnalyticsProbability concepts for Data Analytics
Probability concepts for Data Analytics
 
Basic Concept Of Probability
Basic Concept Of ProbabilityBasic Concept Of Probability
Basic Concept Of Probability
 
Theorems And Conditional Probability
Theorems And Conditional ProbabilityTheorems And Conditional Probability
Theorems And Conditional Probability
 
Chapter6
Chapter6Chapter6
Chapter6
 
Binomial distribution good
Binomial distribution goodBinomial distribution good
Binomial distribution good
 
Probability
ProbabilityProbability
Probability
 

Similar to Chi Square

Chi square[1]
Chi square[1]Chi square[1]
Chi square[1]sbarkanic
 
4 1 probability and discrete probability distributions
4 1 probability and discrete    probability distributions4 1 probability and discrete    probability distributions
4 1 probability and discrete probability distributions
Lama K Banna
 
Module-2_Notes-with-Example for data science
Module-2_Notes-with-Example for data scienceModule-2_Notes-with-Example for data science
Module-2_Notes-with-Example for data science
pujashri1975
 
chi-Square. test-
chi-Square. test-chi-Square. test-
chi-Square. test-
shifanaz9
 
Week8 Live Lecture for Final Exam
Week8 Live Lecture for Final ExamWeek8 Live Lecture for Final Exam
Week8 Live Lecture for Final Exam
Brent Heard
 
Week8 livelecture2010 follow_up
Week8 livelecture2010 follow_upWeek8 livelecture2010 follow_up
Week8 livelecture2010 follow_up
Brent Heard
 
Week8 livelecture2010
Week8 livelecture2010Week8 livelecture2010
Week8 livelecture2010
Brent Heard
 
WEEK 6 – HOMEWORK 6 LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docx
WEEK 6 – HOMEWORK 6  LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docxWEEK 6 – HOMEWORK 6  LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docx
WEEK 6 – HOMEWORK 6 LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docx
cockekeshia
 
Statistik Chapter 5 (1)
Statistik Chapter 5 (1)Statistik Chapter 5 (1)
Statistik Chapter 5 (1)WanBK Leo
 
Unit 11.2 theoretical probability
Unit 11.2 theoretical probabilityUnit 11.2 theoretical probability
Unit 11.2 theoretical probability
Mark Ryder
 
Probability guide book pdf
Probability guide book   pdfProbability guide book   pdf
Probability guide book pdfMarkWinokur
 
What are the chances? - Probability
What are the chances? - ProbabilityWhat are the chances? - Probability
What are the chances? - Probability
mscartersmaths
 
The binomial distributions
The binomial distributionsThe binomial distributions
The binomial distributions
maamir farooq
 
x13.pdf
x13.pdfx13.pdf
x13.pdf
TarikuArega1
 
Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...
Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...
Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...
Dr. Aryan (Anish Dhakal)
 
RSS probability theory
RSS probability theoryRSS probability theory
RSS probability theory
Kaimrc_Rss_Jd
 
Algebra unit 9.6.2
Algebra unit 9.6.2Algebra unit 9.6.2
Algebra unit 9.6.2
Mark Ryder
 
Algebra unit 9.6.2
Algebra unit 9.6.2Algebra unit 9.6.2
Algebra unit 9.6.2
Mark Ryder
 

Similar to Chi Square (20)

Chi square[1]
Chi square[1]Chi square[1]
Chi square[1]
 
Chi sequare
Chi sequareChi sequare
Chi sequare
 
4 1 probability and discrete probability distributions
4 1 probability and discrete    probability distributions4 1 probability and discrete    probability distributions
4 1 probability and discrete probability distributions
 
Module-2_Notes-with-Example for data science
Module-2_Notes-with-Example for data scienceModule-2_Notes-with-Example for data science
Module-2_Notes-with-Example for data science
 
chi-Square. test-
chi-Square. test-chi-Square. test-
chi-Square. test-
 
Week8 Live Lecture for Final Exam
Week8 Live Lecture for Final ExamWeek8 Live Lecture for Final Exam
Week8 Live Lecture for Final Exam
 
Week8 livelecture2010 follow_up
Week8 livelecture2010 follow_upWeek8 livelecture2010 follow_up
Week8 livelecture2010 follow_up
 
Week8 livelecture2010
Week8 livelecture2010Week8 livelecture2010
Week8 livelecture2010
 
WEEK 6 – HOMEWORK 6 LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docx
WEEK 6 – HOMEWORK 6  LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docxWEEK 6 – HOMEWORK 6  LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docx
WEEK 6 – HOMEWORK 6 LANE CHAPTERS, 11, 12, AND 13; ILLOWSKY CHAP.docx
 
Statistik Chapter 5 (1)
Statistik Chapter 5 (1)Statistik Chapter 5 (1)
Statistik Chapter 5 (1)
 
Unit 11.2 theoretical probability
Unit 11.2 theoretical probabilityUnit 11.2 theoretical probability
Unit 11.2 theoretical probability
 
Probability guide book pdf
Probability guide book   pdfProbability guide book   pdf
Probability guide book pdf
 
What are the chances? - Probability
What are the chances? - ProbabilityWhat are the chances? - Probability
What are the chances? - Probability
 
The binomial distributions
The binomial distributionsThe binomial distributions
The binomial distributions
 
x13.pdf
x13.pdfx13.pdf
x13.pdf
 
Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...
Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...
Biostatistics Made Ridiculously Simple by Dr. Aryan (Medical Booklet Series b...
 
More Statistics
More StatisticsMore Statistics
More Statistics
 
RSS probability theory
RSS probability theoryRSS probability theory
RSS probability theory
 
Algebra unit 9.6.2
Algebra unit 9.6.2Algebra unit 9.6.2
Algebra unit 9.6.2
 
Algebra unit 9.6.2
Algebra unit 9.6.2Algebra unit 9.6.2
Algebra unit 9.6.2
 

Chi Square