Toolkit/mixed linear model

mixed linear model

Computational Method·Research·Since 2014

Also known as: MLM

Taxonomy: Technique Branch / Method. Workflows sit above the mechanism and technique branches rather than replacing them.

Summary

The mixed linear model (MLM) is a computational genome-wide association study method applied in an enlarged maize association panel. In the cited 2014 study, MLM identified ten loci across five agronomic traits at a Bonferroni-corrected significance threshold of -log10(P) > 5.74.

Usefulness & Problems

Why this is useful

MLM is useful as a statistical association-testing approach for detecting genotype-phenotype associations in GWAS datasets. The supplied evidence shows that it can recover significant loci for agronomic traits in maize, providing a benchmark method within comparative GWAS analyses.

Problem solved

MLM helps address the problem of identifying loci associated with complex agronomic traits in a maize association panel. The evidence does not provide further methodological detail on how the model handles confounding or population structure in this specific study.

Taxonomy & Function

Primary hierarchy

Technique Branch

Method: A concrete computational method used to design, rank, or analyze an engineered system.

Target processes

No target processes tagged yet.

Implementation Constraints

cofactor dependency: cofactor requirement unknownencoding mode: genetically encodedimplementation constraint: context specific validationoperating role: builder

The documented implementation is computational application in GWAS of an enlarged maize association panel using a Bonferroni-corrected significance threshold of -log10(P) > 5.74. The evidence does not specify software, model parameterization, covariates, kinship formulation, or input genotype format.

Within the supplied comparison, the Anderson-Darling test identified many loci across 17 traits, including loci not observed by MLM. The evidence therefore suggests that MLM may have lower discovery breadth than the alternative method in this dataset, and no additional limitations are described.

Validation

Cell-freeBacteriaMammalianMouseHumanTherapeuticIndep. Replication

Supporting Sources

Ranked Claims

Claim 1method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 2method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 3method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 4method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 5method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 6method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 7method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 8method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 9method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 10method comparisonsupports2014Source 1needs review

The Anderson-Darling test identified many loci across 17 agronomic traits, including known and new candidate loci that were only observed by the A-D test.

Many loci ranging from one to 34 loci (107 loci for plant height) were identified for 17 traits using the A-D test at the Bonferroni-corrected threshold -log10 (P) >7.05 (α=0.05) using 556809 SNPs. Many known loci and new candidate loci were only observed by the A-D test
Bonferroni-corrected threshold 7.05loci identified for plant height 107SNPs used 556809traits analyzed 17
Claim 11method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 12method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 13method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 14method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 15method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 16method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 17method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 18method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 19method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 20method comparisonsupports2014Source 1needs review

The Anderson-Darling test is a useful complement for GWAS analysis of complex quantitative traits and is especially useful for traits with abnormal phenotype distribution or those controlled by moderate effect loci or rare variations.

we showed that the A-D test is a useful complement for GWAS analysis of complex quantitative traits. Especially for traits with abnormal phenotype distribution, controlled by moderate effect loci or rare variations, the A-D test balances false positives and statistical power.
Claim 21result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 22result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 23result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 24result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 25result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 26result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 27result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 28result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 29result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 30result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 31result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 32result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 33result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 34result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 35result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 36result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5
Claim 37result summarysupports2014Source 1needs review

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).
Bonferroni-corrected threshold 5.74loci identified 10traits with identified loci 5

Approval Evidence

1 source1 linked approval claimfirst-pass slug mixed-linear-model
applying both mixed linear model (MLM)

Source:

result summarysupports

Using the mixed linear model, ten loci for five traits were identified at a Bonferroni-corrected threshold of -log10(P) greater than 5.74.

Ten loci for five traits were identified using the MLM method at the Bonferroni-corrected threshold -log10 (P) >5.74 (α=1).

Source:

Comparisons

Source-backed strengths

In the cited application, MLM detected ten loci for five traits under a Bonferroni-corrected threshold of -log10(P) > 5.74. The evidence supports that MLM produced statistically significant GWAS hits in maize, but does not provide broader performance metrics beyond this result.

mixed linear model and free-energy calculations address a similar problem space.

Shared frame: same top-level item type

Compared with mathematical model

mixed linear model and mathematical model address a similar problem space.

Shared frame: same top-level item type

Strengths here: looks easier to implement in practice.

Compared with SwiftLib

mixed linear model and SwiftLib address a similar problem space.

Shared frame: same top-level item type

Ranked Citations

  1. 1.
    StructuralSource 1PLoS Genetics2014Claim 8Claim 8Claim 10

    Extracted from this source document.