What is MONOTONIC RELATIONSHIP? definition of MONOTONIC RELATIONSHIP (Psychology Dictionary)
Now if you want to distinguish a weak non-monotonic relationship from a strong non-monotonic relationship, we need to get a little bit creative. Statistics Definitions > Monotonic Relationship What is a Monotonic You can, however, still use Spearman's, which is a non-parametric test. Examples of monotonic and non-monotonic relationships are presented in the diagram below: What is the definition of Spearman's rank-order correlation?.SPSS for questionnaire analysis: Correlation analysis
What are the assumptions of the test? You need two variables that are either ordinal, interval or ratio see our Types of Variable guide if you need clarification.
Although you would normally hope to use a Pearson product-moment correlation on interval or ratio data, the Spearman correlation can be used when the assumptions of the Pearson correlation are markedly violated.
However, Spearman's correlation determines the strength and direction of the monotonic relationship between your two variables rather than the strength and direction of the linear relationship between your two variables, which is what Pearson's correlation determines. What is a monotonic relationship?
A monotonic relationship is a relationship that does one of the following: Examples of monotonic and non-monotonic relationships are presented in the diagram below: Join the 10,s of students, academics and professionals who rely on Laerd Statistics.
Spearman's correlation measures the strength and direction of monotonic association between two variables.
Monotonicity is "less restrictive" than that of a linear relationship. For example, the middle image above shows a relationship that is monotonic, but not linear. Learn more about Minitab When evaluating the relationship between two variables, it is important to determine how the variables are related.
Linear relationships are most common, but variables can also have a nonlinear or monotonic relationship, as shown below. It is also possible that there is no relationship between the variables.
What Is a Non Linear Relationship? | Sciencing
You should start by creating a scatterplot of the variables to evaluate the relationship. A linear relationship is a trend in the data that can be modeled by a straight line. For example, suppose an airline wants to estimate the impact of fuel prices on flight costs. This describes a linear relationship between jet fuel cost and flight cost.
Strong positive linear relationship Plot 2: Strong negative linear relationship When both variables increase or decrease concurrently and at a constant rate, a positive linear relationship exists. The points in Plot 1 follow the line closely, suggesting that the relationship between the variables is strong. When one variable increases while the other variable decreases, a negative linear relationship exists. The points in Plot 2 follow the line closely, suggesting that the relationship between the variables is strong.
Weak linear relationship Plot 4: