Overview
These are the GWAS results for job Test with 27.243 samples, run for the phenotype liver_fat .
Methods
The association between liver_fat and each variant with a minor allele count \(\ge\) 30 and an imputation quality metric \(r^2 \ge\) 0.8 was tested using the linear regression model:
liver_fat ~ marker + PC1 + PC2 + PC3 + PC4 + PC5 + PC6 + PC7 + PC8 + PC9 + PC10 + PC11 + PC12 + PC13 + PC14 + PC15 + PC16 + PC17 + PC18 + PC19 + PC20 + array + sex + age
The association tests were performed using plink2/2.00-alpha-2.3-20200124, including a total of 14.308.111 markers (after filtering). Markers having a Hardy-Weinberg equilibrium exact test p-value below 1.0e-6 were filtered out.
662 significant markers have been found. The genomic inflation factor was \(\lambda =\) 1.0509461.
GWAS parameters
The plink2 program was run with the following parameters:
- Minor allele count cutoff: 30
- Minor allele frequency cutoff: 0.00
- Maximum variance inflation factor: 50
- Sample missing call rate cutoff: 0.1
- Variant missing call rate cutoff: 0.1
- Minimum imputation quality: 0.8
- Maximum imputation quality: 2.0
- Hardy-Weinberg exact test p-value threshold: 1.0e-6
Filtered samples and variants
The table displays the number of samples/variants that have been removed due to different filters:
- SGENO: Samples removed due to missing genotype. Cutoff: 0.1
- VGENO: Variants removed due to missing genotype. Cutoff: 0.1
- VHWE: Variants removed after Hardy-Weinberg exact test. P-value cutoff: 1.0e-6
- VFREQ: Variants removed due to allele frequency threshold(s). Cutoffs: mac = 30 ; maf = 0.00
- VIMP: Variants removed due to imputation quality filter (MACH-R2). Cutoff: 0.8 - 2.0
Genome-wide significant markers
- Markers with \(p \le 5 \cdot 10^{-8}\) are displayed, no matter what the corresponding \(\beta\)-value is.
- Spreadsheet with significant markers (only available if copied separately)
- ID: navigate to Phenoscanner
- POS: link to marker position at UCSC Genome Brower
- genes: link to nearest gene (UCSC Genome Brower)
- Note : A1_FREQ, BETA, SE, and P are not available if only one significant marker resides on a whole chromosome.
GCTA-COJO results
The GCTA-COJO program was run using the following parameters:
- \(p\)-value: 5.0e-8
- window size: 5000 kB
- collinearity threshold (\(R^2\)): 0.9
- minor allele frequency cutoff (A1_FREQ): 0
- reference genome: FTD_rand
Table with corresponding original results
CLUMP results
The plink-clump program was run using the following parameters:
- primary \(p\)-value: 5e-8
- secondary \(p\)-value: 5e-6
- correlation threshold: 0.01
- window size: 5000 kb
- reference genome: FTD_rand
Comparison of the markers identified by COJO and by CLUMP
- The number of common markers indentified with the two methods is 4.
- This corresponds to 100 % of the clump markers and 100 % of the cojo markers.
QQ-plot for \(p\)-values
![](data:image/png;base64,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)
Manhattan plot
![](data:image/png;base64,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)
SNP density plot
![](data:image/png;base64,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)
Histogram of \(\beta\) values
![](data:image/png;base64,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)
Kernel density plot of \(\beta\) values
![](data:image/png;base64,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Regression diagnostics
A regression was conducted using the linear model
liver_fat ~ PC1 + PC2 + PC3 + PC4 + PC5 + PC6 + PC7 + PC8 + PC9 + PC10 + PC11 + PC12 + PC13 + PC14 + PC15 + PC16 + PC17 + PC18 + PC19 + PC20 + array + sex + age
(Note that no marker genotype has been included). The dataframe used as regression input is stored in Test_liver_fat_regression_frame.RData, while the residuals are in Test_liver_fat_regression_resid.RData.
Some metrics obtained using the linear regression model:
- sigma is the estimatimated standard deviation of the noise term
- Fstat is the value of the F-statistic
- Rsquared is coefficient of determination
- Rsq.adj is coefficient of determination adjusted for the number of predictors
- AIC is the Akaike information criterion (which estimates the quality of a gregession model, relative to others)
Regression coefficients obtained with lm()
:
Variance inflation factors
Variance inflation factors (VIF) are calculated in order to discover multicollinearity. VIF can be obtained by regressing a single independent variable against all other independent variables. As a rule of thumb, no variance inflation factor should be bigger than 10. Otherwise, highly correlated variables should be removed from the model.
Histogram for the magnitudes of the residuals
According to the linear model established, the residuals should be normally distributed. Consequently, the histogram below should approximately resemble a normal distribution. The residuals have been saved to r residfile
.
![](data:image/png;base64,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)
Normal Q-Q plot of the residuals
This plot shows if residuals are normally distributed. It is desirable that the points displaying the residuals are located close to the straight line.
![](data:image/png;base64,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)