Correlations Flashcards
why are correlations useful
if cant manipulate variables
absense of a correlation lets us discount theories
highlight possibilities for research
name 3 measures of association
pearsons correlation coefficient (parametric)
spearmans coefficent of rank correlation (non-parametric)
covarience (parametric)
whats parametric data
data with a normal distribution
whats non parametric data
data without a normal distribution
what is covarience
the mean of the product of the deviations from the mean
basically
add up all the deviations each score has from the mean
calculate the mean of this
thats covarience
when the two variables change a lot the covarience is large
when theres no relation the covariance is 0
describe pearsons corrwlation coefficent
based on covarience
its independent of the overall variability as it divides the standard deviations of the variables
its only dependent on how related the variables are not how much they vary
values are between -1 and +1 (closer to these values the stronger the relationship)
describe spearmans rank/rho
coefficient of correlation related to pearsons r value
non-parametric
used for ordinal data
first it ranks the data then works out pearsons r on the ranks
how do you do correlations on SPSS
must have two columns of data - two variables
1 - plot data on scatter plot (graphs, legacydialogs, scatter)
2 - compute the coefficients - (analyze, correlate, bivariate).
3 add variables to right hand side box.
4 select pearsons or Spearman rank
what do you get if you correlate a variable with itself
always +1
what does a partial correlation do
measures part of the correlation of A and B that isnt to do with C
C is called partialled out or held constant
first order - 1 partialled out, second = 2 etc