Correlation Flashcards
What are the parametric and non parametric tests for a relationship?
Pearsons correlation for parametric
Spearman’s rank correlation for non parametric
What does a positive and negative correlation represent?
positive - both variables increase
negative - one variable increases as another decreases
What are the assumptions to carry out a Pearsons test?
- normal distribution
- interval / ratio level
- Linear relationship
What are the assumptions to carry out a spearmans test?
- ordinal, ratio or interval level data
- Monotonic relationship
What is a monotonic relationship?
its a relationship that increase or decrease but not in a linear fashion
what is covariance?
- if two variables are related, when one variable deviates from its mean we would expect the other variable to deviate from its mean in a similar way
- measure of joint variability of two variables
what is the influence of sample size on R volume?
- sample size might increase the r volume
- large the sample the smaller the r volume is needed for a significant difference
according to Cohen what is a weak, medium, strong and very strong correlation?
small - 0.3
medium - 0.3-0.5
Strong - 0.5-0.9
very strong - 0.9-1
according to Evan what is a very weak through to a very strong correlation?
very weak - 0.19 weak - 0.2-0.39 moderate - 0.4-0.59 strong - 0.6-0.79 very strong - 0.8-1
How relationships may arise provide three ways?
- x causes y
- y causes x
- coincidence
- confounding
- correlation induced by a third variable
- time
what are some cautions with correlations?
- outlying results may affect correlation
- R = 0 doesn’t always mean no relationship
- hidden sub groups
- correlation is not causation