Correlation analysis is a statistical method used to evaluate the strength of a relationship between two quantitative variables. It's a widely used technique in various fields such as economics, biology, environmental science, and social sciences.
The most commonly used techniques in correlation analysis include:
1. Pearson Correlation Coefficient
- Measures: Strength and direction of linear relationships between two continuous variables.
- Assumptions: Linearity, normality of data distribution.
- Value Range: -1 (perfect negative correlation) to +1 (perfect positive correlation).
2. Spearman Rank Correlation Coefficient
- Measures: Strength and direction of monotonic relationships (consistently increasing or decreasing) between continuous or ordinal variables.
- Assumptions: Monotonicity (not necessarily linear).
- Less Sensitive to Outliers: More robust than Pearson for extreme values.
- Value Range: -1 to +1.
3. Kendall Rank Correlation Coefficient
- Measures: Strength and direction of monotonic relationships similar to Spearman.
- Computation: Different approach, often preferred for tied ranks.
- Value Range: -1 to +1
4. Point-Biserial Correlation Coefficient
- Measures: Relationship between a continuous variable and a dichotomous variable (two categories).
5. Phi Correlation Coefficient
- Measures: Relationship between two dichotomous variables.
6. Phi_K Correlation Coefficient