Definition

Verb: - To change or fluctuate in a correlated manner during the same time period. Specifically used in statistics and mathematics to describe two random variables that exhibit simultaneous variation, such that changes in one variable are associated with predictable changes in the other.

Usage

The verb "co-vary" is used to describe a statistical relationship. It indicates that two variables are linked, but it does not specify the direction of causality (i.e., which variable causes the change in the other). It is a technical term primarily used in academic, scientific, and data analysis contexts. - It is typically used in the present tense (co-vary, co-varies) or past tense (co-varied). - It is often followed by the preposition "with" to specify the other variable.

Examples

• Basic Usage:
  • In this model, income and consumption levels co-vary.
  • The study found that temperature and ice cream sales co-varied significantly over the summer months.
• With Preposition "with":
  • The price of oil tends to co-vary with geopolitical stability in the region.
  • These two economic indicators co-vary with each other, making it hard to isolate their individual effects.

Advanced Usage

• "co-varying" (Present Participle/Adjective):
  • Used to describe variables that are in the process of changing together or that have this property.
  • The analysis focused on the co-varying factors of stress and sleep quality.
• Statistical Context:
  • The concept is foundational for understanding correlation and covariance (a related statistical measure).
  • To calculate the strength of the linear relationship, you must first determine if and how the variables co-vary.

Variants and Related Words

• Covariance (n): A specific statistical measure that quantifies the extent to which two random variables co-vary.
  • A positive covariance indicates that the variables co-vary in the same direction.
• Co-variation (n): The act, process, or instance of co-varying; synonymous with the general concept described by the verb.
  • The observed co-variation between the datasets was striking.

Synonyms

• Correlate: To have a mutual relationship or connection, often used more broadly than the statistical "co-vary."
• Fluctuate together: A more descriptive, non-technical phrase.
• Move in tandem: An idiomatic expression suggesting synchronized change.

Antonyms

• Vary independently: To change without a consistent relationship to another variable.
• Be uncorrelated: To show no statistical relationship or pattern of joint variation.

Verb

1. vary in the same time period (of two random variables)