Department

Sociology

Course Code

SOC202H1

Professor

Brent Berry

Chapter 15

Person’s r correlation coefficient is the statistic we use to test the hypothesis of the

existence of a relationship/w 2 interval ratio variables, an independent variable X

and a dependent of Y

When to test a hypothesise using bivariate correlation and regression analysis (t-

distribution, df n-2)

1)In general testing a hypothesis that a relationship exists between 2 interval ratio

variables

2)There are two interval-ration variables

3)There are no restriction on sample size, but generally the larger the n, the better

4)A scatter plot of the coordinates of the two variables fits a linear pattern

When using a sample data we must keep in mind to try and answer the following

question: does a linear relationship between X and Y truly exist in the population, or

is the linear pattern in this sample the result of sampling error

As with any hypothesis test, the real interest lies in the parameter, the summary

measurements that applies to the entire population

Person’s r correlation coefficient allows us to test a hypothesise to answer this

question

For the population the corresponding parameter is symbolized by the Greek letter

rho (p)- it is the correlation coefficient that would be obtained if Person’s correlation

coefficient were computed for the entire population

The effect of the test is the difference between an observed sample statistic and the

expected parameter when the null hypothesis is true. For a correlation hypothesise

the effect is the difference between the observed sample Person’s r and the expected

rho of 0.

The null hypothesis => Ho;p=0 (no relationship between X and Y)

The statement of the alternative hypothesis can be two tailed, non directional, one

tailed positive or one tailed negative

The standard error is inversely related to sample size, the larger the sample size the

smaller the standard error. The test statistic is (look in book p.557)

www.notesolution.com

Over 90% improved by at least one letter grade.

OneClass has been such a huge help in my studies at UofT especially since I am a transfer student. OneClass is the study buddy I never had before and definitely gives me the extra push to get from a B to an A!

Leah — University of Toronto

Balancing social life With academics can be difficult, that is why I'm so glad that OneClass is out there where I can find the top notes for all of my classes. Now I can be the all-star student I want to be.

Saarim — University of Michigan

As a college student living on a college budget, I love how easy it is to earn gift cards just by submitting my notes.

Jenna — University of Wisconsin

OneClass has allowed me to catch up with my most difficult course! #lifesaver

Anne — University of California

Join OneClass

Access over 10 million pages of study

documents for 1.3 million courses.

Sign up

Join to view

OR

By registering, I agree to the
Terms
and
Privacy Policies

Already have an account?
Log in

Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.