goodness of fit: meaning, definition, pronunciation and examples

C1
UK/ˌɡʊdnəs əv ˈfɪt/US/ˌɡʊdnəs əv ˈfɪt/

Academic/Technical

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Quick answer

What does “goodness of fit” mean?

A statistical measure that assesses how well observed data match a theoretical model or distribution.

Audio

Pronunciation

Definition

Meaning and Definition

A statistical measure that assesses how well observed data match a theoretical model or distribution.

In broader usage, the degree to which something (a person, idea, object) is suitable or appropriate for a given context or purpose.

Dialectal Variation

British vs American Usage

Differences

No significant lexical or syntactic differences; term is identical in both varieties.

Connotations

Highly technical in both varieties; American usage may be more prevalent due to larger social science publishing output.

Frequency

Moderately frequent in academic/professional publications in both varieties; rare in everyday speech.

Grammar

How to Use “goodness of fit” in a Sentence

The goodness of fit [of something] [to/for something]A goodness-of-fit testTo assess/evaluate/calculate the goodness of fit

Vocabulary

Collocations

strong
statisticalchi-squaremodeltestmeasureindexvaluepoorexcellent
medium
assessevaluatecalculateindicatesuggestoverall
weak
dataresultsanalysisstudyresearch

Examples

Examples of “goodness of fit” in a Sentence

verb

British English

  • The data were fitted to the model, and its goodness of fit was assessed.
  • We need to fit the model first, then check its goodness of fit.

American English

  • They fitted the distribution, then evaluated the goodness of fit.
  • After fitting the curve, report the goodness of fit.

adverb

British English

  • The model performed goodness-of-fit-wise quite poorly.
  • (Extremely rare adverbial use)

American English

  • (Adverbial use is not standard for this noun phrase.)

adjective

British English

  • The goodness-of-fit indices were all within acceptable limits.
  • She conducted a goodness-of-fit analysis.

American English

  • The goodness-of-fit statistic was significant.
  • We reviewed the goodness-of-fit criteria.

Usage

Meaning in Context

Business

Rare. Possibly in data analytics contexts: 'We ran a goodness-of-fit test on the sales forecast model.'

Academic

Common in statistics, psychology, social sciences, biology: 'The chi-square goodness of fit rejected the null hypothesis.'

Everyday

Very rare. Metaphorical: 'The goodness of fit between his skills and the job requirements was perfect.'

Technical

Core usage. Refers to specific statistical procedures and metrics for evaluating models.

Vocabulary

Synonyms of “goodness of fit”

Strong

Neutral

model fitfit statisticfit index

Weak

Vocabulary

Antonyms of “goodness of fit”

model misfitpoor fitlack of fitincompatibility

Watch out

Common Mistakes When Using “goodness of fit”

  • Using it as a plural ('goodnesses of fit'), using incorrect prepositions ('goodness of fit with the model' - better: 'of the model'), confusing it with 'correlation'.

FAQ

Frequently Asked Questions

It is typically not hyphenated when used as a noun phrase ('assess the goodness of fit'). Hyphens are used when it functions as a compound modifier before a noun ('a goodness-of-fit test').

It is a technical term. In everyday contexts, simpler phrases like 'how well it fits', 'suitability', or 'compatibility' are more natural.

The chi-square (χ²) goodness-of-fit test is one of the most common, used for categorical data.

Primarily, yes. However, it can be used metaphorically in other fields (e.g., psychology, management) to describe the match between a person and an environment or role.

A statistical measure that assesses how well observed data match a theoretical model or distribution.

Goodness of fit is usually academic/technical in register.

Goodness of fit: in British English it is pronounced /ˌɡʊdnəs əv ˈfɪt/, and in American English it is pronounced /ˌɡʊdnəs əv ˈfɪt/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • Not applicable

Learning

Memory Aids

Mnemonic

Think of trying on clothes: a 'good fit' means the clothes match your body well. 'Goodness of fit' is how well data 'fits' a model.

Conceptual Metaphor

MODELS ARE GARMENTS (data must 'fit' them well).

Practice

Quiz

Fill in the gap
The test indicated that the observed genetic ratios matched the expected Mendelian inheritance pattern.
Multiple Choice

In which field is the term 'goodness of fit' most precisely and frequently used?