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name: bio-causal-genomics-pleiotropy-detection description: Detect and adjust for horizontal pleiotropy in two-sample Mendelian randomization by distinguishing uncorrelated (UHP) from correlated (CHP) pleiotropy and choosing among Egger, MR-PRESSO, MR-RAPS, CAUSE, LHC-MR, LCV, MR-Clust, MR-Mix, and contamination-mixture methods. Use when validating an MR causal claim, running the STROBE-MR sensitivity battery, suspecting a shared heritable confounder, working under weak-instrument or polygenic-exposure regimes, or reconciling discordant estimates across robust methods. origin: openai4s category: bioskills/causal-genomics metadata: tool_type: r primary_tool: TwoSampleMR third_party: name: GPTomics/bioSkills repository: https://github.com/GPTomics/bioSkills commit: d91ed3d563019e649dc854c56ccd62551359488a license: MIT


Version Compatibility

Reference examples tested with: TwoSampleMR 0.5.11+, MendelianRandomization 0.9.0+, MR-PRESSO 1.0+, CAUSE 1.2.0+, MR-Clust 0.1.0+, MRMix 0.1+, mr.raps 0.4.1+ (GitHub), LHC-MR 0.0.0.9000+ (GitHub), LCV (script-based, no version tag), simex 1.8+.

Before using code patterns, verify installed versions match. If versions differ: - R: packageVersion('<pkg>') then ?function_name to verify parameters - For GitHub-only packages, check the repo HEAD vs the local install date

If code throws errors, introspect the installed package and adapt the example rather than retrying.

Pleiotropy Detection in Mendelian Randomization

"Validate my MR result against pleiotropic bias" -> Decompose violations of the exclusion-restriction assumption into uncorrelated horizontal pleiotropy (UHP, addressable by Egger / median / mode / MR-PRESSO) and correlated horizontal pleiotropy (CHP, addressable only by CAUSE / LHC-MR / LCV), then run a method battery whose assumptions span both regimes.

UHP vs CHP: The Central Postdoc-Grade Distinction

Horizontal pleiotropy comes in two regimes, and most "standard" MR sensitivity methods address only one of them.

Regime Definition InSIDE assumption Methods that handle it
UHP (uncorrelated horizontal pleiotropy) Pleiotropic effect alpha_j independent of instrument-exposure effect gamma_j Holds IVW (balanced UHP only), MR-Egger, weighted median, weighted mode, MR-PRESSO, MR-RAPS, MR-Mix, contamination mixture
CHP (correlated horizontal pleiotropy) alpha_j correlates with gamma_j through a shared upstream factor (heritable confounder, network mediator) Violated CAUSE, LHC-MR, LCV, MR-Clust (partial), Steiger-filtered MR (partial)

InSIDE = INstrument Strength Independent of Direct Effect (Bowden 2015 IJE 44:512). Plain English: across SNPs, the per-SNP pleiotropic effect alpha and per-SNP instrument-exposure effect gamma are treated as independent random variables. CHP is the case where they covary because both flow from a shared upstream genetic factor.

The trap (Morrison 2020 Nat Genet 52:740): IVW, MR-Egger, MR-PRESSO, and GSMR are all blind to CHP. Under a shared heritable confounder they each return a plausible-looking corrected causal estimate that is systematically biased in the direction of the confounder. The MR-PRESSO global test does not flag CHP because correlated pleiotropy is not an outlier pattern, it is a population mean shift in the alpha distribution conditional on gamma.

Operational rule: If genetic correlation rg(exposure, outcome) is high (LDSC >= 0.3) or biology strongly suggests a shared upstream factor, the IVW / Egger / PRESSO triple is insufficient. Add CAUSE (preferred when sig SNPs >= 100) or LHC-MR (preferred for polygenic genome-wide IVs).

Operational Decision Flow (4 Steps)

  1. Compute genetic correlation (LDSC). Run ldsc.py --rg <exposure.sumstats.gz>,<outcome.sumstats.gz> (see causal-genomics/genetic-correlation). If |rg| > 0.3, CHP is plausible -> flag for Step 3 escalation. If the LDSC rg standard error spans zero broadly, treat low-rg evidence as weak rather than confirming absence of CHP.
  2. Standard battery. IVW (random-effects when Cochran Q p < 0.05) + MR-Egger (with NOME I^2_GX check) + weighted median + weighted mode + MR-PRESSO (NbDistribution >= 10000 for stringent reporting). Report all five with point estimate, SE, p, 95% CI, and n_SNPs_used. Compute Egger I^2_GX; apply SIMEX if I^2_GX < 0.9 (see examples/simex_egger_correction.R).
  3. CHP escalation. Trigger when rg > 0.3 OR PRESSO global p < 0.05 with > 50% nominal outliers OR Egger / median / mode disagree by > 2 SE. Run CAUSE (if >= 100 significant SNPs after pruning) or LHC-MR (any N; uses genome-wide sumstats). Report ELPD delta + z + q (CHP fraction) + gamma (CHP-adjusted causal estimate).
  4. Triangulate. Pre-MR Steiger filter; bidirectional MR (examples/bidirectional_mr.R); LCV gcp; LDSC rg report. Consensus across methods supports a publication-ready claim. Disagreement requires narrowing the scope (e.g., subgroup, cis-MR, time-varying analysis) rather than reporting a single point estimate.

Algorithmic Taxonomy

Method Models UHP-robust CHP-robust Min #SNPs Fails when Citation
Inverse-variance weighted (IVW) Weighted regression through origin Balanced UHP only No 3 Directional UHP; CHP; weak IV bias; heterogeneity Burgess 2013 Genet Epidemiol 37:658
MR-Egger intercept + slope IVW + free intercept Directional UHP No >=10 for power NOME violated (I^2_GX < 0.9); <10 SNPs; CHP Bowden 2015 IJE 44:512
Weighted median Median of Wald ratios Up to 50% invalid No >=10 >50% invalid; CHP Bowden 2016 Genet Epidemiol 40:304
Weighted mode (MBE) Mode of estimate density Plurality valid Partial >=10 Multimodal estimates from CHP clusters Hartwig 2017 IJE 46:1985
Cochran Q Heterogeneity across Wald ratios Total heterogeneity flag, not direction-specific No 3 Cannot distinguish UHP from heterogeneity from CHP Del Greco M F 2015 Stat Med 34:2926
MR-PRESSO Detect + remove UHP outliers via RSS-out Yes (assumes majority valid) No >=4 >50% pleiotropic; any CHP; small n Verbanck 2018 Nat Genet 50:693
GSMR + HEIDI-outlier Outlier removal via single-instrument estimate heterogeneity Yes No >=10 CHP (HEIDI-outlier is heterogeneity-driven) Zhu 2018 Nat Commun 9:224
MR-RAPS Profile likelihood with overdispersion + Huber/Tukey loss Yes; weak-IV robust Partial via overdispersion >=10 Strong CHP Zhao 2020 Ann Stat 48:1742
MR-Mix Mixture-of-distributions over valid + invalid Yes Partial >=20 Few SNPs; very heterogeneous CHP Qi & Chatterjee 2019 Nat Commun 10:1941
Contamination mixture Profile likelihood over contamination fraction Yes Partial >=20 Few SNPs Burgess 2020 Nat Commun 11:376
MR-Clust k-means over Wald estimates with NULL cluster Yes Diagnostic for CHP via clusters >=20 Single-mechanism exposure (no clustering signal) Foley 2021 Bioinformatics 37:531
CAUSE Bayesian mixture: shared causal + shared-factor (CHP) components Yes Yes (explicit) >=100 sig SNPs at p<5e-8 <100 sig SNPs; non-overlapping GWAS samples Morrison 2020 Nat Genet 52:740
LHC-MR Latent heritable confounder + bidirectional + heritability Yes Yes Genome-wide GWAS sumstats Heritability mis-estimated; severe sample overlap Darrous 2021 Nat Commun 12:7274
LCV (latent causal variable) gcp parameter on genome-wide rg N/A (not an MR method) Diagnostic Genome-wide GWAS sumstats Heritability low; non-Gaussian effect distribution O'Connor & Price 2018 Nat Genet 50:1728

Methodology evolves; verify against the Burgess & Thompson textbook (2nd ed 2021), Hemani 2018 (basic four-method battery), and Sanderson 2022 Nat Rev Methods Primers 2:6 before locking a sensitivity battery.

Decision Tree by Scenario

Scenario Primary estimator Sensitivity / triangulation
Many strong IVs, no biological shared trait suspected IVW + Egger + weighted median + weighted mode + PRESSO Cochran Q; leave-one-out; F-stat; Steiger filtering
LDSC rg(exposure, outcome) >= 0.3 or strong shared-factor biology CAUSE (if sig SNPs >= 100) OR LHC-MR LCV gcp; cross-check IVW after Steiger filter
Many weak IVs (mean F < 20) MR-RAPS with overdispersion + robust Huber loss MR-Mix or contamination mixture; report F-stat range
Suspected heterogeneous causal mechanisms (e.g. LDL on CHD via multiple lipoprotein pathways) MR-Clust; report per-cluster IVW Pathway annotation of cluster instruments; Bayesian mixture
Cis-MR drug target (single locus, few SNPs in LD) Colocalization (causal-genomics/colocalization-analysis) + Steiger PWCoCo; conditional analysis; not Egger (low SNP count)
Polygenic exposure (heritability spread genome-wide; few significant loci) LHC-MR (uses all SNPs) LDSC rg; genome-wide IVW with weak-IV-aware methods (RAPS)
Reverse causation suspected Bidirectional MR with Steiger filter; LHC-MR (jointly estimates both directions) directionality_test; effect-size r2 comparison
Population-level summary discordant with biology Re-examine instrument selection; check Winner's curse; LD pruning settings Triangulate with cis-MR; family-based MR if available

Per-Method Failure Modes

MR-Egger NOME violation

Trigger: I^2_GX = (Q_GX - df) / Q_GX is below 0.9, indicating measurement-error attenuation of the Egger slope (NOME = "no measurement error" in the exposure GWAS effect sizes).

Mechanism: MR-Egger regresses outcome effects on exposure effects with a free intercept. Imprecise exposure effects (high beta.exposure SE relative to beta.exposure variability across instruments) introduce regression dilution that pulls the Egger slope toward the null and inflates the intercept.

Symptom: Egger slope much closer to zero than IVW, weighted median, and weighted mode estimates; large Egger SE.

Fix: Apply SIMEX correction (Bowden 2016 IJE 45:1961; Cook & Stefanski 1994 JASA 89:1314 SIMEX framework) using the simex package on the Egger regression, treating beta.exposure SE as measurement error. See examples/simex_egger_correction.R. Alternative: use MR-RAPS, which models the exposure-effect error explicitly via profile likelihood and does not suffer the NOME failure.

MR-PRESSO majority-outlier breakdown

Trigger: More than 50% of instruments are pleiotropic (UHP), e.g. when instrument set was loosely selected (genome-wide significant but unfiltered).

Mechanism: MR-PRESSO's global RSS-out statistic and outlier detection both assume a majority-valid set; outliers are defined relative to that majority. With a pleiotropic majority, PRESSO removes the valid minority.

Symptom: PRESSO-corrected estimate is similar in magnitude (and sign) to the uncorrected estimate even after dropping nominally "outlier" SNPs; distortion-test p-value paradoxically non-significant; few or no outliers detected despite obvious global-test significance.

Fix: Do not trust PRESSO corrected estimate. Re-examine instrument selection (drop loose p-thresholds, prune LD harder); switch to CAUSE or LHC-MR; consider weighted-mode estimator which is plurality-valid rather than majority-valid.

MR-PRESSO false negative under CHP

Trigger: Strong shared heritable confounder (high rg) producing CHP. Confirmed by significant LDSC rg or LCV gcp.

Mechanism: Correlated pleiotropy is a population-level mean shift in alpha conditional on gamma; it is not an outlier pattern. PRESSO's RSS-out distance is invariant under such a mean shift, so the global test is not powered against CHP.

Symptom: PRESSO global p > 0.05 (no detected pleiotropy) while a CHP-aware method (CAUSE, LHC-MR) returns a substantially different (often null) causal estimate.

Fix: When CHP is plausible, ALWAYS run CAUSE or LHC-MR in addition to PRESSO; do not rely on PRESSO global non-significance as evidence of no pleiotropy.

MR-Egger underpowered with few SNPs

Trigger: Fewer than 10 instruments.

Mechanism: Egger's intercept variance is driven by the spread of beta.exposure across instruments; with few SNPs the intercept CI is so wide that even strongly pleiotropic data give non-significant intercepts.

Symptom: Non-significant Egger intercept p-value alongside obviously discordant IVW and weighted-median estimates.

Fix: Report intercept point estimate and CI rather than a binary "pleiotropy present / absent" verdict; do not use Egger as the only sensitivity method when SNP count is low; weight evidence toward weighted-median, weighted-mode, and CAUSE / LHC-MR.

Steiger filter inverted by exposure measurement error (Hemani 2017)

Trigger: Exposure is imprecisely measured (lower heritability ascertained in the exposure GWAS) and outcome is well-measured.

Mechanism: Steiger compares r^2_GX vs r^2_GY per SNP. Measurement error in the exposure underestimates r^2_GX; well-measured outcome captures r^2_GY accurately. Per-SNP, the inequality can flip even when the true causal direction is exposure -> outcome.

Symptom: A large fraction of instruments fail Steiger (steiger_dir == FALSE) in a direction that conflicts with biological plausibility.

Fix: Interpret Steiger as one signal among many, not a hard gate; cross-check with bidirectional MR; verify exposure GWAS heritability and sample size; switch to LHC-MR which models both directions jointly and accounts for heritability.

CAUSE underpowered with few significant SNPs

Trigger: Fewer than 100 genome-wide-significant instruments (p < 5e-8) after harmonization and LD pruning.

Mechanism: CAUSE fits a Bayesian mixture model over a shared-factor (CHP) component, a shared-causal component, and a null component. Posterior identification of the mixture weights requires substantial signal across many SNPs.

Symptom: CAUSE delta_ELPD CI crosses zero; Pareto-k diagnostic flags unstable points; posterior intervals on q (CHP fraction) span [0, 1].

Fix: Use LCV gcp for genome-wide directional inference (does not require many significant SNPs); use LHC-MR if heritability and sumstats are available; or report CAUSE alongside an explicit caveat about its underpowered regime.

LCV gcp under non-Gaussian effect distributions

Trigger: Highly polygenic trait with substantial sparsity in true effects (mixture of large-effect and zero-effect loci).

Mechanism: LCV assumes a bivariate normal model for effect sizes after LDSC adjustment. Sparse architectures (e.g. immune traits with HLA dominance) violate this and bias gcp estimates.

Symptom: LCV gcp point estimate appears extreme but heritability LDSC z-scores are modest; partitioned heritability shows extreme HLA enrichment.

Fix: Exclude HLA region from LDSC inputs; complement with CAUSE / LHC-MR; report gcp with awareness of the polygenicity caveat.

Quantitative Thresholds

Metric Threshold Source / rationale
F-statistic per SNP >=10 strong; <10 weak Burgess 2011 IJE 40:755 (rule of thumb); weak-IV bias toward observational confounded estimate
I^2_GX (NOME) >=0.9 Egger reliable Bowden 2016 IJE 45:1961
I^2_GX (NOME) intermediate 0.6-0.9 SIMEX-corrected Egger Bowden 2016 IJE
I^2_GX (NOME) severe <0.6 drop Egger; use MR-RAPS or CAUSE Bowden 2016 IJE; SIMEX unreliable below 0.6
Egger min SNP count for adequate power >=10 Bowden 2015 IJE 44:512
Cochran Q significance p < 0.05 indicates heterogeneity Del Greco M F 2015 Stat Med 34:2926
MR-PRESSO NbDistribution 1000 exploratory; >=5000 publication; >=10000 stringent Verbanck 2018 Nat Genet 50:693 (Methods)
MR-PRESSO global test p < 0.05 -> heterogeneity / outliers present Verbanck 2018 Nat Genet
MR-PRESSO distortion test p < 0.05 -> outliers materially shifted estimate; if >= 0.05 report uncorrected IVW Verbanck 2018 Nat Genet
MR-PRESSO min instruments >=4 to run; >=10 for non-degenerate global test Verbanck 2018 Nat Genet
MR-PRESSO SignifThreshold 0.05 default Verbanck 2018 Nat Genet
MR-PRESSO majority-valid breakdown Fails when >50% instruments pleiotropic Verbanck 2018 Nat Genet (theoretical limit)
Weighted median validity Robust to <=50% invalid IVs Bowden 2016 Genet Epidemiol 40:304
Weighted mode validity Plurality-valid (largest valid subset is most common estimate) Hartwig 2017 IJE 46:1985
CAUSE min #SNPs >=100 p < 5e-8 SNPs after pruning Morrison 2020 Nat Genet 52:740 (Supplement)
CAUSE delta_ELPD criterion one-sided p < 0.05; z = delta_elpd / se(delta_elpd); z > 1.96 standard; z > 3.0 stringent Morrison 2020 Nat Genet
LDSC rg suggesting CHP >= 0.3 flags need for CAUSE / LHC-MR Operational rule; see causal-genomics/genetic-correlation
Steiger r^2 difference Reverse-causal flag at any per-SNP r2_GY > r2_GX Hemani 2017 PLoS Genet 13:e1007081
Standard sensitivity battery IVW + Egger + median + mode + PRESSO + Steiger + LOO Hemani 2018 eLife 7:e34408 / STROBE-MR 2021

LCV gcp interpretation thresholds (0, 0.5, 0.6, 1) are tabulated in usage-guide.md.

Standard Sensitivity Battery (Working Reference)

Goal: Run the canonical UHP-focused MR sensitivity suite on harmonized two-sample data.

Approach: Compute IVW + Egger + median + mode side-by-side; test Egger intercept and heterogeneity; run MR-PRESSO with >=5000 distributions for publication or >=10000 for stringent reporting; apply Steiger filter; leave-one-out; report all estimates.

library(TwoSampleMR)
library(MRPRESSO)

methods <- c('mr_ivw', 'mr_egger_regression', 'mr_weighted_median', 'mr_weighted_mode')
res_mr <- mr(dat, method_list = methods)

het <- mr_heterogeneity(dat)
pleio <- mr_pleiotropy_test(dat)
loo <- mr_leaveoneout(dat)
steiger <- directionality_test(dat)

isq <- Isq(dat$beta.exposure, dat$se.exposure)
nome_pass <- isq >= 0.9

presso <- mr_presso(
    BetaOutcome='beta.outcome', BetaExposure='beta.exposure',
    SdOutcome='se.outcome', SdExposure='se.exposure',
    OUTLIERtest=TRUE, DISTORTIONtest=TRUE,
    data=dat, NbDistribution=10000, SignifThreshold=0.05)

global_p <- presso$`MR-PRESSO results`$`Global Test`$Pvalue
outlier_p <- presso$`MR-PRESSO results`$`Outlier Test`$Pvalue
distortion_p <- presso$`MR-PRESSO results`$`Distortion Test`$Pvalue
n_outliers <- sum(outlier_p < 0.05, na.rm=TRUE)

Full working pipeline incl SIMEX, MR-RAPS, contamination mixture, and STROBE-MR table: examples/sensitivity_battery.R.

CAUSE for CHP-Aware Estimation

Goal: Distinguish causal from shared-factor (correlated horizontal pleiotropy) explanations of an exposure-outcome association.

Approach: Fit nuisance parameters (LD pruning + rho_GWAS sample-overlap correction) on a random SNP set; fit the sharing and causal posterior; compare ELPD (expected log predictive density) via Pareto-k smoothed importance sampling.

library(cause)
params <- est_cause_params(dat_cause, variants = pruned_subset_snps)
res_cause <- cause(X = dat_cause, variants = pruned_snps, param_ests = params)
elpd <- summary(res_cause)$tab

Full posterior extraction + reporting: examples/cause_analysis.R.

Interpreting CAUSE output:

CAUSE requires sumstats from both exposure and outcome GWAS in matched effect-allele coding. The pruning step typically retains 100-5000 signature SNPs at LD r^2 < 0.01 in a 1 Mb window; nuisance estimation should use a larger random SNP subset (>= 100,000 genome-wide SNPs) to fit rho (sample overlap) stably.

MR-RAPS Loss Function and Overdispersion

Trigger: Weak instruments (mean F < 20) and/or suspected UHP requiring outlier-resistant estimation.

Tukey is preferable when leave-one-out reveals 2+ SNPs single-handedly shifting the IVW estimate by > 1 SE.

MR-Clust for Mechanism Heterogeneity

Goal: When a single causal estimate is misleading because instruments operate through multiple causal mechanisms (e.g. LDL on CHD via multiple lipoprotein subfractions), identify clusters of instruments with similar per-SNP Wald ratios.

library(mrclust)
ratio_hat <- dat$beta.outcome / dat$beta.exposure
ratio_se <- abs(dat$se.outcome / dat$beta.exposure)
res_mc <- mr_clust_em(theta=ratio_hat, theta_se=ratio_se,
                     bx=dat$beta.exposure, by=dat$beta.outcome,
                     bxse=dat$se.exposure, byse=dat$se.outcome,
                     obs_names=dat$SNP)
per_cluster <- res_mc$results$best

Clusters with cluster_class = 'null' are pleiotropy-only instruments. Per-cluster IVW estimates may differ substantially; biological annotation of the SNPs in each cluster (pathway, target gene) is the interpretation step.

LHC-MR Workflow

Goal: Jointly estimate forward causal effect, reverse causal effect, and the heritable-confounder contribution from genome-wide sumstats (not just significant SNPs).

library(lhcMR)
merged <- merge_sumstats(list(df_x, df_y), c('X', 'Y'), LD.filepath='ldsc/LDscores.txt', rho.filepath='ldsc/LDrho.txt')
sp_list <- calculate_SP(merged, trait.names=c('X', 'Y'), run_ldsc=TRUE, run_MR=TRUE, hm3='ldsc/w_hm3.snplist', ld='ldsc/eur_w_ld_chr/', nStep=2, SP_single=3, SP_pair=50)
res_lhc <- lhc_mr(sp_list, trait.names=c('X', 'Y'), paral_method='lapply', nBlock=200, nCores=4)

LHC-MR is computationally heavy (hours on full sumstats) but among the most rigorous CHP-aware estimators when both GWAS are well-powered. Output includes axx, ayy, hxy (confounder effect on each trait), and bidirectional alpha_xy, alpha_yx.

Choosing CAUSE vs LHC-MR (Darrous 2021):

Condition Preferred method
>= 100 genome-wide significant SNPs after pruning CAUSE (Bayesian; CHP-explicit; mature posterior diagnostics)
Polygenic exposure with few significant loci LHC-MR (uses genome-wide signal, not just significant SNPs)
Severe sample overlap between exposure and outcome GWAS LHC-MR (jointly models overlap); CAUSE's rho correction is exposed to misspecification at high overlap
Bidirectionality of central interest LHC-MR (jointly estimates alpha_xy and alpha_yx); CAUSE only models forward
Limited compute / quick turnaround CAUSE (minutes to hours); LHC-MR may be > 24h on full sumstats

When both apply, report both with the agreement / disagreement explicit in the discussion.

Bidirectional MR Procedure

  1. Forward MR: instrument exposure E, test effect on outcome Y (primary)
  2. Reverse MR: instrument outcome Y, test effect on exposure E (using outcome-direction instruments)
  3. Steiger pre-filter both directions: steiger_filtering(dat); drop SNPs where outcome r^2 > exposure r^2 before primary IVW
  4. Compare estimates: null reverse + significant forward strengthens the forward causal claim; bidirectional significance flags feedback / shared confounder / reciprocal causation
  5. LCV gcp orthogonal check: genome-wide directional inference independent of the instrument set

Working code: examples/bidirectional_mr.R.

Interpretation cheat-sheet:

Forward p Reverse p Reading
significant non-significant Forward causal claim strengthened
non-significant significant Re-examine instrument-exposure assignment; the "outcome" may causally drive the "exposure"
significant significant Feedback loop, shared confounder, or reciprocal causation; resolve with LHC-MR
non-significant non-significant No evidence of causation in either direction

When forward and reverse both clear Steiger and both IVW p < 0.05, run LHC-MR jointly rather than reporting two univariable estimates.

LCV (Latent Causal Variable)

LCV uses LDSC-merged genome-wide sumstats and reports gcp (genetic causality proportion) on [-1, 1]. It is a complement to, not a replacement for, MR; gcp ~ 0 with high LDSC rg implies pure genetic correlation without partial causation.

source('LCV/R/RunLCV.R')
res_lcv <- RunLCV(ldscores$L2, x$Z, y$Z)
# res_lcv$gcp; res_lcv$pval.gcpzero.2tailed

Full gcp interpretation table is in usage-guide.md.

Required Supplementary Tables

Instrument table (one row per SNP retained for primary analysis):

Column Content
rsID, chr, pos Variant identifier and genome position
EA, OA, EAF Effect allele, other allele, effect allele frequency in exposure GWAS
beta_E, se_E, p_E, F Exposure-side estimate, SE, p-value, per-SNP F-statistic
beta_Y, se_Y, p_Y Outcome-side estimate, SE, p-value (harmonized to EA)
harmonization_action 1=kept, 2=flipped, 3=dropped (palindromic ambiguity)
palindromic_flag TRUE / FALSE; tracked per Hartwig 2016 IJE 45:1717
Steiger_direction forward / reverse / inconclusive
Steiger_p per-SNP directionality p-value

Sensitivity-battery table (one row per method):

Column Content
method IVW / Egger / WM / WMode / PRESSO (raw + corrected) / RAPS / CAUSE
estimate, se, p, 95% CI Point estimate and inference
n_SNPs_used Post-harmonization, post-Steiger SNP count
heterogeneity_p Q for IVW; Q' for Egger; global p for PRESSO
intercept_p Egger only (directional UHP test)
ELPD_delta + z CAUSE only (sharing - causal; negative +

Reconciliation Across Methods

Pattern Likely cause Action
IVW and Egger agree (small Egger intercept); median and mode agree Likely true causal; minimal pleiotropy Report all; STROBE-MR; emphasize agreement
IVW significant; Egger non-significant with similar slope; PRESSO global p > 0.05 Egger underpowered (few SNPs) OR Egger NOME violated Check I^2_GX; SIMEX-correct if 0.6 < I^2_GX < 0.9
IVW shifted relative to Egger / median / mode; Egger intercept significant Directional UHP Trust Egger slope; PRESSO-corrected IVW; mode estimator
IVW + Egger + median + mode + PRESSO all agree but CAUSE delta_ELPD non-significant or in opposite direction CHP via shared confounder Trust CAUSE; report all five UHP methods alongside but flag the discordance; check LDSC rg
All UHP methods agree; LCV gcp ~ 0 Genetic correlation only, not causation Causation evidence is weak; report rg explicitly; consider colocalization (cis-MR) instead
MR-Clust shows >=2 distinct non-null clusters Heterogeneous mechanisms Report per-cluster estimates; do not summarize as a single effect
Steiger fails on a substantial fraction of instruments Reverse causation OR exposure measurement error Run bidirectional MR; check exposure GWAS heritability; LHC-MR
MR-PRESSO global p < 0.05 but corrected estimate similar to uncorrected >50% pleiotropic OR CHP masquerading as UHP Re-prune instruments; switch to weighted-mode / CAUSE / LHC-MR

Operational rule for publication: Report IVW (primary), Egger slope + intercept, weighted median, weighted mode, MR-PRESSO global + distortion + corrected, Cochran Q, Steiger directionality, F-statistic distribution, I^2_GX (for Egger validity), and at least one CHP-aware method (CAUSE or LHC-MR) when rg >= 0.3 or biology suggests shared upstream. Failure to report a CHP-aware result when CHP is plausible is a reviewer-flagged red flag since 2020.

Anticipated Reviewer Pushback

Pushback Standard response
"Was CHP checked for?" LDSC rg reported (causal-genomics/genetic-correlation); if rg > 0.3, CAUSE or LHC-MR ran; q posterior reported
"Why CAUSE and not LHC-MR?" CAUSE preferred when >= 100 significant SNPs available (Morrison 2020). LHC-MR preferred when significant-SNP set is small or polygenic, using genome-wide sumstats (Darrous 2021)
"Egger NOME?" I^2_GX computed; if 0.6 <= I^2_GX < 0.9, SIMEX correction applied; if < 0.6, Egger dropped in favor of MR-RAPS
"PRESSO doesn't catch CHP?" Confirmed (Morrison 2020); CAUSE / LHC-MR reported alongside PRESSO for that reason
"Steiger filter applied pre-MR or post?" Pre-MR: SNPs failing per-SNP Steiger directionality dropped before primary IVW
"Why no replication cohort?" Two-sample design uses independent exposure and outcome cohorts; if same biobank, MRlap used or noted as a limitation
"Why not just trust the IVW?" IVW assumes balanced UHP and no CHP; both violated routinely; sensitivity battery is the standard since STROBE-MR 2021
"Effect size is implausibly large" Re-examine F-statistic distribution for weak IV bias; check Winner's curse; consider Wald ratio at a single strong instrument as sanity check

STROBE-MR Reporting (Skrivankova 2021)

Item Required content
1-3 Title / abstract / background indicates this is an MR study; pre-registered protocol
4-7 Study design, data sources, instrument selection criteria (p-threshold, LD clumping, MAF)
8-11 Harmonization, palindrome handling, allele alignment
12-14 F-statistic distribution; weak-instrument bias mitigation
15-17 Primary MR method + all sensitivity methods + CHP-aware method when relevant
18-19 Pleiotropy tests, Steiger, heterogeneity
20 Discussion of remaining assumption violations; limitations

Sub-items (30 total) detail per-method reporting. The full statement (JAMA 326:1614) and explanation (BMJ 375:n2233) are now reviewer-required at most cardiovascular and psychiatric journals since 2022.

Common Errors

Error / symptom Cause Solution
MR-PRESSO crashes with Not enough intrumental variables Fewer than 4 SNPs Need >=4 for PRESSO; for cis-MR with few SNPs use colocalization
Egger intercept p < 0.05 but I^2_GX = 0.5 NOME violated; intercept is artifactually inflated SIMEX-correct or do not trust Egger; use MR-RAPS instead
Isq() not found TwoSampleMR version where Isq is unexported Compute manually: Q_GX = sum((beta_GX/se_GX)^2); I2 = (Q_GX - (n-1))/Q_GX, clipped to [0,1]
MR-RAPS package not found after CRAN install CRAN-archived 2025-03-01 remotes::install_github('qingyuanzhao/mr.raps'); call via TwoSampleMR::mr_raps() wrapper (MendelianRandomization does NOT export mr_raps)
CAUSE delta_ELPD CI spans zero; Pareto-k > 0.7 <100 sig SNPs OR severe sample overlap Use LHC-MR; or report CAUSE with the explicit caveat
Steiger labels most instruments reverse-causal Exposure GWAS imprecise OR sample size mismatch Treat as one signal; cross-check with bidirectional MR
LHC-MR runtime > 24h Default nCores=1 on full sumstats Use nCores >= 4; restrict to LDSC-overlapping SNPs first
MR-PRESSO outliers all on same chromosome Genome-wide LD not properly pruned; clumping window too narrow Re-clump at r^2 < 0.001 in 10 Mb window
MR-Mix returns NA Few SNPs OR no variation in mixture support Need >=20 SNPs; default mixture grid may need tuning

References