multivariate

Thân thiện

A scientist plots multivariate data on a scatter plot graph.

Definition

1. Adjective:
   • Pertaining to or involving more than one variable: Describes any situation, analysis, or procedure where two or more variables are considered simultaneously. It is a fundamental concept in statistics and data analysis.

Usage

• The term "multivariate" is primarily used in academic, scientific, and technical contexts, especially in fields like statistics, data science, psychology, and economics. It describes analyses or data sets that contain multiple measurements or factors.
• It is typically used attributively (before a noun) to describe a type of analysis, data, or method.

Examples

• Adjective:
  • The researcher conducted a multivariate analysis to understand how age, income, and education level jointly predict health outcomes.
  • This multivariate dataset contains information on temperature, humidity, wind speed, and air pressure.
  • We need multivariate statistical techniques to model the complex relationships in this system.

Advanced Usage

• "Multivariate" vs. "Univariate" and "Bivariate": "Univariate" involves a single variable, "bivariate" involves two variables, and "multivariate" involves three or more variables. This distinction is crucial in statistical methodology.
• "Multivariate normality": A key assumption in many multivariate statistical tests, which states that all variables and their linear combinations are normally distributed.
• "Multivariate function": In mathematics, a function whose output depends on several input variables (e.g., f(x, y, z)).

Variants and Related Words

• Multivariable (adj): Often used interchangeably with "multivariate" in some contexts, particularly in engineering and mathematics, though subtle distinctions exist in technical usage ("multivariable" often refers to multiple variables).
• Multivariate analysis (n): A statistical technique used to analyze data that arises from more than one variable.
• Multivariate data (n): A set of observations containing multiple measurements for each item or subject.

Synonyms

• Multidimensional: Having or involving several dimensions or aspects.
• Multifactor: Involving or dependent on several factors.

Antonyms

• Univariate: Involving a single variable.
• Bivariate: Involving two variables.

Học thuật

Adjective

1. pertaining to any procedure involving two or more variables