Correlation Flashcards
What is correlation?
measures strength of relationships between 2 variables; is one trait associated with another?
What are examples of correlation?
-Is height at withers in beef cattle associated with
body length?
-Is weight of a dairy cow related to amount of milk
produced?
What is correlation represented by?
r
What does r measure?
- the degree of association between 2 variables (traits) in a sample from a population
- the degree of tightness of the relationship between 2 traits
What range does correlation have?
-1.0 to +1.0 (-0.99 to +0.99)
What does a correlation range tell us?
the magnitude of the relationship (high or low) and the direction (positive or negative)
What does a correlation of +1.0 indicate?
for each standard unit increase in one variable, there is a standard unit increase in the correlated trait
What does a significant correlation mean?
that there is a high probability that there is a real association between the traits
What does * next to a correlation number mean?
number has been subject to many tests to see if it is accurate and is 95% of the time (p<0.05)
What does ** next to a correlation number mean?
99% accurate
Does correlation have a unit?
no it is unitless
Can correlation be used to predict the level of one variable based on another?
no
Correlation doesn’t equal_____.
causation
Why doesn’t correlation show cause and effect?
r provides no evidence as to which variable is the cause and which is the effect
Does hip height and weight have a positive or negative correlation?
positive
Does milk yield and fat % have a positive or negative correlation?
negative
Does weight and heart girth have a positive or negative correlation?
positive
Does weaning weight and yearling weight have a positive or negative correlation?
positve
Does lean cuts and backfat have a positive or negative correlation?
negative
How do you calculate the correlation coefficient?
know formula
What does a correlation coefficient of 0.01-0.2 mean?
low correlation
What does a correlation coefficient of 0.2-0.4 mean?
moderate/medium correlation
What does a correlation coefficient of >0.4 mean?
large correlation
What are the most common correlations in animal breeding?
phenotypic, genotypic, and environmental
What is phenotypic correlation?
measures the strength of relationship between performance (phenotypic value) in one trait and performance in another trait
What is genetic correlation?
measures the strength of relationships between breeding value for one trait and breeding value for the other