statistical dependence: meaning, definition, pronunciation and examples
C2Formal, Technical, Academic
Quick answer
What does “statistical dependence” mean?
A relationship between two or more random variables where the occurrence or value of one affects the probability distribution of the other(s).
Audio
Pronunciation
Definition
Meaning and Definition
A relationship between two or more random variables where the occurrence or value of one affects the probability distribution of the other(s).
In a broader sense, it refers to any situation where knowledge about one event or variable provides information about another, indicating they are not probabilistically independent. It is a fundamental concept in probability theory, statistics, and data science.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or syntactic differences. Spelling follows national conventions for the adjective 'statistical'.
Connotations
Identical technical connotations in both varieties.
Frequency
Equally frequent in technical/academic contexts in both regions.
Grammar
How to Use “statistical dependence” in a Sentence
There is a statistical dependence between X and Y.X and Y exhibit statistical dependence.The statistical dependence of X on Y was measured.We tested for statistical dependence.Vocabulary
Collocations
Examples
Examples of “statistical dependence” in a Sentence
verb
British English
- The variables are found to depend statistically.
- We cannot assume the data points do not depend on each other.
American English
- The models assume the errors do not depend on one another.
- These two metrics statistically depend on the same underlying factor.
adverb
British English
- The events are statistically dependently related.
American English
- The samples are not drawn independently but rather dependently.
adjective
British English
- The statistically dependent variables were removed from the analysis.
- They observed a strongly dependent relationship.
American English
- We identified statistically dependent features in the dataset.
- The dependent structure of the time series was analyzed.
Usage
Meaning in Context
Business
Used in data analytics to understand relationships between market variables, e.g., 'The statistical dependence between advertising spend and sales is crucial for our budget.'
Academic
Core concept in statistics, probability, econometrics, and scientific research papers.
Everyday
Virtually never used in everyday conversation. Might be paraphrased as 'are linked' or 'go together'.
Technical
Precise term in data science, machine learning (e.g., feature selection), signal processing, and quantitative research.
Vocabulary
Synonyms of “statistical dependence”
Strong
Neutral
Vocabulary
Antonyms of “statistical dependence”
Watch out
Common Mistakes When Using “statistical dependence”
- Confusing 'dependence' with 'correlation' (correlation is one specific type of linear dependence).
- Assuming dependence implies causation (the classic 'correlation does not imply causation' error).
- Using 'dependant' (noun) instead of 'dependence' (noun).
FAQ
Frequently Asked Questions
No. Correlation (specifically linear correlation like Pearson's) is one specific type of statistical dependence. Statistical dependence is a broader concept that includes any non-independence, including non-linear relationships.
Common tests include the chi-squared test of independence for categorical data, correlation tests (Pearson, Spearman) for numerical data, and more advanced measures like mutual information or distance correlation for detecting any general dependence.
Many fundamental statistical models and tests (e.g., t-tests, linear regression under OLS assumptions) rely on the independence of observations or errors. Violating this assumption can lead to incorrect standard errors, p-values, and model inferences.
Yes. A classic example is a parabolic or circular relationship (e.g., Y = X²). They are perfectly dependent (knowing X tells you Y), but their linear correlation (Pearson) can be zero. This highlights the need for non-linear dependence measures.
A relationship between two or more random variables where the occurrence or value of one affects the probability distribution of the other(s).
Statistical dependence is usually formal, technical, academic in register.
Statistical dependence: in British English it is pronounced /stəˌtɪs.tɪ.kəl dɪˈpen.dəns/, and in American English it is pronounced /stəˌtɪs.tɪ.kəl dɪˈpen.dəns/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of DEPENDENCE as one variable 'hanging on' or 'depending on' the outcome of another for its likelihood. STATISTICAL tells you it's about numbers and probability, not just a simple cause.
Conceptual Metaphor
VARIABLES ARE COMPANIONS (their fates are tied); INFORMATION IS A THREAD (connecting two events); PROBABILITY IS A FABRIC (where dependence is a weave pattern).
Practice
Quiz
What does 'statistical dependence' NOT imply?