What is correlation in statistics?
A technique to measure and describe the relationship between two numerical variables without manipulation.
Correlational analysis requires systematically collected quantitative data on two variables.
The correlation coefficient (r) describes the strength and direction of the relationship.
Correlation is NOT Causation: Even with strong correlations, it is unclear if one variable causes changes in the other, if the relationship is bidirectional, or if a third variable influences both.
Understanding correlations is fundamental for research design and applying findings responsibly.
What is correlation in statistics?
A technique to measure and describe the relationship between two numerical variables without manipulation.
How is data collected for correlational analysis?
Through surveys, naturalistic observation, archival records, or systematic quantitative measurements.
What does a positive correlation indicate?
As one variable increases, the other variable also increases.
What is the range of the correlation coefficient (r)?
Between -1 and +1.
What does a correlation coefficient close to +1 mean?
A strong positive relationship.
What does a negative correlation imply?
As one variable increases, the other decreases.
What does no correlation mean?
No predictable relationship; correlation coefficient near zero.
Why canβt correlation prove causation?
Because causation may involve bidirectional effects or a confounding variable.
Name one strength of correlational analysis.
Allows study of naturally occurring variables when experiments are impossible.
Name one weakness of correlational analysis.
Cannot establish causation and is vulnerable to confounding variables.