Monotonic relationship meaning dictionary

What is MONOTONIC RELATIONSHIP? definition of MONOTONIC RELATIONSHIP (Psychology Dictionary)

But for well-defined word sets involving semantically transparent relations as monotonically related1 to distances Table Semantic feature assignment. monotonic: of or using the Greek system of diacritics which discards the from the GNU version of the Collaborative International Dictionary of English. adj. monotonic meaning: 1. speaking or spoken in such a way that the sound stays on the same note without going higher or lower 2. (of a quantity) only ever.

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.

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The points in Plot 2 follow the line closely, suggesting that the relationship between the variables is strong. Weak linear relationship Plot 4: Nonlinear relationship The data points in Plot 3 appear to be randomly distributed. They do not fall close to the line indicating a very weak relationship if one exists.

monotonic relation and Spearman - Cross Validated

If a relationship between two variables is not linear, the rate of increase or decrease can change as one variable changes, causing a "curved pattern" in the data. This curved trend might be better modeled by a nonlinear function, such as a quadratic or cubic function, or be transformed to make it linear.

  • Spearman's Rank-Order Correlation
  • Monotonic function

Plot 4 shows a strong relationship between two variables. This relationship illustrates why it is important to plot the data in order to explore any relationships that might exist.

You need two variables that are either ordinal, interval or ratio see our Types of Variable guide if you need clarification.

Meaning of "monotonic" in the English dictionary

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. A monotonic relationship is not strictly an assumption of Spearman's correlation.