correlation and association Flashcards
what is correlation?
the linear relationship between 2 continuous variable
what is association?
the rs between 2 categorical variables
what tests should you use for correlation?
pearson’s correlation
spearman’s rank correlation
what test should you use for association?
Pearson’s chi square for independence
what is Pearson’s correlation denoted by?
p or r
what is the range for pearson’s correlation?
-1 to 1
what does p = 1 for pearson’s correlation
perfectly positive linear rs between X and Y
what does p = -1 for pearson’s correlation
perfectly negative linear rs between X and Y
how will pearson’s correlation results be displayed?
on a scatterplot
what type of data is applicable for pearson’s correlation test?
interval/ratio scale
does pearson’s correlation require normal distribution?
yes
is pearson’s correlation parametric or non parametric?
parametric
what are the values for pearson’s correlation test? strong moderate weak
strong: r>0.7 OR r<-0.7
moderate: 0.3< r <- 0.7
weak: 0.3 >-r >- -0.3
what is regression
to examine the linear rs between X and the mean of Y
is spearman’s rank correlation coefficient parametric or non para metric?
non parametric
what does the spearman’s rank correlation coefficient measure?
monotonic function
what is the range for spearman’s rank correlation coefficient
-1 to 1
what does -1 for spearman’s rank correlation coefficient mean?
perfectly monotonic negative
what does 1 for spearman’s rank correlation coefficient mean?
perfectly monotonic positive
what does monotonic rs mean?
either
- when X increase, Y increases too
OR
- when X increases, Y decreases.
it happens NOT at a constant rate
what is pearson’s chi square for independence for ?
to test whether there is a significant association between 2 categorical variables
list the test to check for association
pearson’s chi square for independence
what type of data does the pearson’s chi square test ?
nominal or ordinal
can pearson’s chi square of independence be used for continuous variables?
no
does pearson’s chi square measure the direction or strength of a relationship
nO ONLY association.