Spearman's rank correlation coefficient Flashcards
why is this techniques used?
to measure the strengths of a relationship between two variables resulting in a positive or negative correlation
benefits of stats tests
assess the degree of correlation allowing for further statistical analysis
visual representation via scattergraph
significance tests validate data set
limitations of stats test
needs between 10-30 data sets fore reliable comparison
where can this data be presented
on scattergraphs
what relationships will be shown relating to the scattergraphs
closer to 1 is strong positive correlation
closer to -1 is a strong negative correlation
result of 0 is no relationship
how to calculate
- rank data sets, highest ranked as one
- calculate the difference between the ranks
- square the difference
- add up the total of squared differences
- put values into the formula
- minus answer from 1 to get spearmint rank
what do you do when ranking and there are too numbers the same
ex rank 3 and rank 4
add the two together: 3+4 = 7
divide by 2 = 3.5
each rank them is 3.5
from here replace as many ranks that are the same with 3.5 and skip 4
on your rank you would have 3.5 x2 instead of 3 and 4
in a positive correlation what happens to values
both go up
in a negative correlation what happened to figures
one goes up and one goes down
calculate degrees of freedom
number of pairs minus 2
n-2
degrees of freedom on significance table/ graph
the ānā used to correlate what the percentage of significance is