inconsistency index

USAGE SUMMARY

The phrase "inconsistency index" is correct and usable in written English.
It can be used in contexts where you are measuring or evaluating the degree of inconsistency in data, results, or behavior. Example: "The inconsistency index of the survey results indicated a significant variation in participant responses."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

35 human-written examples

New inconsistency index of reciprocal matrix with fuzzy elements is introduced and newly designed method of logarithmic least squares for eliciting associated weights is applied.

Fuzzy Sets and Systems

Growth of the GCSDT is realized by expanding nodes of the tree, characterized by the highest inconsistency index of the information granules.

Expert Systems with Applications

Hence, in this paper, a new inconsistency index (CI F ) based on the distance of the matrix to a specific consistent matrix is adopted from Ramík and Korviny [37].

Environmental Systems Research

where s i L, s i M, and s i U are the minimum, most likely, and maximum values of the optimal solution that has the minimal measure of fuzziness, respectively; σ is the linguistic scale (i.e., [1/7, 7] in this study); γ is the normality constant; CI F is the inconsistency index of a FPCM such that a value of 0.1 or less is considered to be acceptable, otherwise the FPCM should be revised.

Environmental Systems Research

The Cochran's Q statistic [21] and the inconsistency index I2 [22] were used to evaluate the between-study heterogeneity.

Plosone

The inconsistency index I2 was also calculated to evaluate the variation which was caused by heterogeneity rather than by chance, and higher values of the index indicate the existence of heterogeneity [17].

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

25 human-written examples

Table 2 Random inconsistency indices (RI) for n = 10.

International Journal of Concrete Structures and Materials

* Inconsistency indexes are percentages.

BMC Cancer

Inconsistency indexes (I) were also calculated, and a value greater than 50% was considered an indicator of high inconsistency between studies [ 10].

BMC Pregnancy and Childbirth

The inconsistency (I) index was used to quantify the heterogeneity among the studies.

BioMed Research International

At an aggregate level, regression diagnostics amount to analysis of inconsistency, with index plots of leverages and residuals [ 26], concepts like node-splitting [ 8], and design-by-treatment interaction [ 12, 13].

BMC Medical Research Methodology

Expert writing Tips

Best practice

When reporting an "inconsistency index", always specify the statistical method used to calculate it (e.g., I² statistic for meta-analysis) to ensure clarity and reproducibility.

Common error

Avoid assuming that a high "inconsistency index" automatically invalidates the data. Instead, explore the potential sources of heterogeneity and consider using a random-effects model.

Linguistic Context

The phrase "inconsistency index" functions as a noun phrase, typically used to quantify the degree of heterogeneity or disagreement within a dataset or a set of studies. As Ludwig AI explains, the phrase is correct and usable in written English. It's primarily employed in contexts where inconsistency needs to be measured or evaluated.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The "inconsistency index" is a technical term primarily used within scientific and statistical contexts to quantify the degree of heterogeneity or disagreement in data. As Ludwig AI confirms, the phrase is grammatically sound and suitable for formal writing. It's essential to specify the method used to calculate the index (e.g., I² statistic) and to interpret the results cautiously, avoiding assumptions that high inconsistency automatically invalidates the data. Alternative terms like "heterogeneity measure" or "discordance metric" can be used depending on the specific context. This phrase is a powerful tool for analyzing and reporting the reliability and consistency of research findings, particularly in meta-analyses and complex datasets.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

heterogeneity measure

This alternative focuses on the variability or diversity within a dataset, similar to assessing inconsistency.

discordance metric

This option highlights the lack of agreement or harmony, which aligns with the concept of inconsistency.

variability indicator

This term emphasizes the extent to which data points differ from each other, reflecting inconsistency.

disagreement coefficient

This phrase quantifies the level of disagreement within a set of observations, akin to measuring inconsistency.

non-uniformity scale

This alternative describes the degree to which elements are not consistent or similar.

divergence indicator

Focuses on the extent to which data points move apart or differ from a central tendency.

lack of consensus measure

This highlights the absence of agreement or shared understanding.

rate of conflict

Emphasizes the frequency or degree of contradictory information or findings.

irregularity gauge

This phrase suggests a measurement of deviations from a standard or expected pattern.

deviation index

This alternative directly measures the extent of departure from a norm or average.

FAQs

How is the "inconsistency index" used in meta-analysis?

The "inconsistency index", often the I² statistic, quantifies the percentage of variation across studies that is due to heterogeneity rather than chance. A high value suggests substantial heterogeneity.

What does a high "inconsistency index" indicate?

A high "inconsistency index" suggests significant heterogeneity among the studies being analyzed. This means the results of the studies are not consistent with each other.

What are some alternatives to using the term "inconsistency index"?

Depending on the context, you could use alternatives like "heterogeneity measure" or "discordance metric" to describe similar concepts.

How is the "inconsistency index" calculated?

The "inconsistency index" (I²) is calculated from the Q statistic, which assesses heterogeneity. I² represents the percentage of total variation across studies that is due to heterogeneity beyond chance. Formulas vary, but generally, it reflects the ratio of true heterogeneity to total variance.