Ph.D. -EDNC-503: Statistical Analysis & Computer Application

UNIT-III: Statistical Analysis-III (Correlational)

* Biserial & Point Biserial Correlation
* Tetrachoric & Phi-Correlation
* Correlation Ratio (Eta Coeffecient)
* Multiple Regression Equation and Analysis

All in Codes Data Sheet                          Analysis Chapter to check your Data Analysis


Correlation

What do you mean by correlation?

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. A positive correlation indicates the extent to which those variables increase or decrease in parallel; a negative correlation indicates the extent to which one variable increases as the other decreases.

https://www.surveysystem.com/correlation.htm

* BISERIAl & POINT BISERIAL CORRELATION

Correlation

https://www.slideshare.net/search/slideshow?searchfrom=header&q=biserial+correlation

https://www.slideserve.com/chakra/correlation

https://www.slideserve.com/kaden/correlation-1313336

Point Biserial and Biserial Correlation (Easy way to learn)

https://www.youtube.com/watch?v=bQ2upwe2exE

Biserial Correlation

Biserial correlation (rbis) is a correlational index that estimates the strength of a relationship between an artificially dichotomous variable (X) and a true continuous variable (Y). Both variables are assumed to be normally distributed in their underlying populations.

The point biserial correlation coefficient(r_pb) is a correlation coefficient used when one variable (e.g. Y) is dichotomous; Y can either be "naturally" dichotomous, like whether a coin lands heads or tails, or an artificially dichotomized variable.

https://www.slideshare.net/plummer48/point-biserial-correlation

What is a Dichotomous variable?

A dichotomous variable is one that takes on one of only two possible values when observed or measured. The value is most often a representation for a measuredvariable (e.g., age: under 65/65 and over) or an attribute (e.g., gender: male/female).

What is the difference between Point Biserial and Biserial Correlation?

A point-biserial and biserial correlation is used to correlate a dichotomy with an interval-scaled variable. The difference is that the point-biserial correlation is used when the dichotomous variable is a true or discrete dichotomy and the biserial correlation is used with an artificial dichotomy.

What is the Point Biserial Correlation used for?

Point-biserial correlation coefficient. The point biserial correlation coefficient(r_pb) is a correlation coefficient used when one variable (e.g. Y) is dichotomous; Y can either be "naturally" dichotomous, like whether a coin lands heads or tails, or an artificially dichotomized variable.

https://en.m.wikipedia.org/wiki/Point-biserial_correlation_coefficient

What is a good point biserial correlation?

Point biserial correlation. ... The closer the point biserial correlation is to +1.0 the more reliable the question is considered because it discriminates well among students who mastered the test material and those who did not. A point biserial correlation of 0.0 means the question didn't discriminate at all. 

What is Phi Correlation?

 In statistics, the phi coefficient (or mean square contingency coefficient and denoted by φ or r_φ) is a measure of association for two binary variables. Introduced by Karl Pearson, this measure is similar to the Pearson correlation coefficient in its interpretation.

Point Biserial Correlation

Slideserve (PPT)
https://www.slideserve.com/oren/point-biserial-correlation-example

Slideshare (PPT)
https://www.slideshare.net/plummer48/point-biserial-correlation-39817335

Video

1. Introduction to Point Biserial Correlation
https://www.youtube.com/watch?v=qPI9m8IjjBE

https://www.youtube.com/watch?v=yXK2Z54OYgM

2. Types of Correlations (ePG Pathsala)
https://www.youtube.com/watch?v=bQ2upwe2exE


SPSS
https://statistics.laerd.com/spss-tutorials/point-biserial-correlation-using-spss-statistics.php

https://www.youtube.com/watch?v=76ipx-ta8FY    (video)


Additional Resources

https://www.youtube.com/results?search_query=types+of+correlation+statistics    (videos)


Tetrachoric & Phi-Correlation

Tetrachoric Correlation

Polychoric Correlation
https://en.wikipedia.org/wiki/Polychoric_correlation

Tetrachoric Correlation

https://www.statisticshowto.datasciencecentral.com/tetrachoric-correlation/

https://www.slideshare.net/xianglainerut/tetrachoric-correlation-coefficient

Phi-Correlation
https://www.slideshare.net/xianglainerut/phi-correlation

Computing Phi-Correlation Coeffiencet

https://www.youtube.com/watch?v=HqQzeOmPl0o




Additional Resource
Discriptive  Research: Quantitative Method
https://slideplayer.com/slide/8141957/

Point Biserial and Phi-Correlation
https://www.slideshare.net/evelynGRCF/data-analysis-1?qid=a5260609-af1f-401b-98b6-9fe77549c187&v=&b=&from_search=10

Biserial, Point Biserial, Tetrachoric & Phi-Correlation
https://slideplayer.com/slide/7787823/


Correlation Ratio (Eta Coefficient) 

Sum of Squares
https://www.investopedia.com/terms/s/sum-of-squares.asp

Correlation Ratio

https://en.wikipedia.org/wiki/Correlation_ratio

https://www.statisticssolutions.com/directory-of-statistical-analyses-correlation-ratio/

https://www.youtube.com/watch?v=cYZSjy4RTPg