Department

SociologyCourse Code

SOC202H1Professor

Brent BerryChapter

15This

**preview**shows half of the first page. to view the full**3 pages of the document.**Chapter 15

īPersonās 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

īWhen 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

īWhen 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

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

measurements that applies to the entire population

īPersonās r correlation coefficient allows us to test a hypothesise to answer this

question

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

rho (p)- it is the correlation coefficient that would be obtained if Personās correlation

coefficient were computed for the entire population

īThe 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 Personās r and the expected

rho of 0.

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

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

tailed positive or one tailed negative

īThe 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)

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