MTG2#

In this notebook, we will use MTG2 to calculate the PRS.

MTG2 GitHub Repository

MTG2 is a computer program that implements a multivariate linear mixed model to fit complex covariance structures based on genomic information. It is the multivariate version of GCTA REML. It calculates the best linear unbiased prediction (BLUP) for quantifying genetic merits or genetic risk using the direct average information algorithm.

Note: MTG2 is a tool that can be used for multiple genomic calculations and operations. We just used the basic verison of this tool.

Documentation#

Download the Tool#

Installation#

To install MTG2, use the following commands:

mv MTG2_v2.22.zip\?dl\=1 MTG.zip
unzip MTG.zip 
chmod u+x mtg2
./mtg2

You should see the following output upon successful installation:

******************************************************************
MTG2 version 2.22 (Oct2021)
******************************************************************
-p fam file -d dat file -g grm file ...

Note: MTG2 needs to be installed or placed in the same directory as this notebook.

GWAS file processing for MTG2 for Phenotypes.#

GWAS is not required in the process we considered to calculate PRS using MTG2.

import os
import pandas as pd
import numpy as np
import sys

filedirec = sys.argv[1]

filedirec = "SampleData1"
#filedirec = "asthma_19"
#filedirec = "migraine_0"

def check_phenotype_is_binary_or_continous(filedirec):
    # Read the processed quality controlled file for a phenotype
    df = pd.read_csv(filedirec+os.sep+filedirec+'_QC.fam',sep="\s+",header=None)
    column_values = df[5].unique()
 
    if len(set(column_values)) == 2:
        return "Binary"
    else:
        return "Continous"



# Read the GWAS file.
GWAS = filedirec + os.sep + filedirec+".gz"
df = pd.read_csv(GWAS,compression= "gzip",sep="\s+")

 
if "BETA" in df.columns.to_list():
    # For Continous Phenotype.
    df = df[['CHR', 'BP', 'SNP', 'A1', 'A2', 'N', 'SE', 'P', 'BETA', 'INFO', 'MAF']]

else:
    df["BETA"] = np.log(df["OR"])
    
    df = df[['CHR', 'BP', 'SNP', 'A1', 'A2', 'N', 'SE', 'P', 'BETA', 'INFO', 'MAF']]

df['Z'] = df['BETA'] / df['SE'] 
transformed_df = df[['SNP', 'N', 'Z', 'A1', 'A2']].copy()
transformed_df.columns = ['SNP', 'N', 'Z', 'INC_ALLELE', 'DEC_ALLELE']
  


transformed_df.to_csv(filedirec + os.sep +"mtg2.txt",sep="\t",index=False)
print(transformed_df.head().to_markdown())
print("Length of DataFrame!",len(transformed_df))
|    | SNP        |      N |         Z | INC_ALLELE   | DEC_ALLELE   |
|---:|:-----------|-------:|----------:|:-------------|:-------------|
|  0 | rs3131962  | 388028 | -0.701213 | A            | G            |
|  1 | rs12562034 | 388028 |  0.20854  | A            | G            |
|  2 | rs4040617  | 388028 | -0.790957 | G            | A            |
|  3 | rs79373928 | 388028 |  0.241718 | G            | T            |
|  4 | rs11240779 | 388028 |  0.53845  | G            | A            |
Length of DataFrame! 499617

Execute MTG2#

# Define a global variable to store results
prs_result = pd.DataFrame()
def transform_mtg2_data(traindirec, newtrainfilename,p,sblupmodel, p1_val, p2_val, p3_val, c1_val, c2_val, c3_val,Name,pvaluefile):
    ### First perform clumping on the file and save the clumpled file.
    #perform_clumping_and_pruning_on_individual_data(traindirec, newtrainfilename,p, p1_val, p2_val, p3_val, c1_val, c2_val, c3_val,Name,pvaluefile)
    
    #newtrainfilename = newtrainfilename+".clumped.pruned"
    #testfilename = testfilename+".clumped.pruned"
    
    
    #clupmedfile = traindirec+os.sep+newtrainfilename+".clump"
    #prunedfile = traindirec+os.sep+newtrainfilename+".clumped.pruned"

        
    # Also extract the PCA at this point for both test and training data.
    #calculate_pca_for_traindata_testdata_for_clumped_pruned_snps(traindirec, newtrainfilename,p)

    #Extract p-values from the GWAS file.
    # Command for Linux.
    os.system("awk "+"\'"+"{print $3,$8}"+"\'"+" ./"+filedirec+os.sep+filedirec+".txt >  ./"+traindirec+os.sep+"SNP.pvalue")

    # Command for windows.
    ### For windows get GWAK.
    ### https://sourceforge.net/projects/gnuwin32/
    ##3 Get it and place it in the same direc.
    #os.system("gawk "+"\""+"{print $3,$8}"+"\""+" ./"+filedirec+os.sep+filedirec+".txt >  ./"+traindirec+os.sep+"SNP.pvalue")
    #print("gawk "+"\""+"{print $3,$8}"+"\""+" ./"+filedirec+os.sep+filedirec+".txt >  ./"+traindirec+os.sep+"SNP.pvalue")

    #exit(0)


    # Generate covarie file required by COV_PCA_MTG2
    
    # Merge the covariates, pca and phenotypes.
    tempphenotype_train = pd.read_table(traindirec+os.sep+newtrainfilename+".clumped.pruned"+".fam", sep="\s+",header=None)
    phenotype_train = pd.DataFrame()
 
    phenotype_train[["FID", "IID", "t1"]] = tempphenotype_train.iloc[:, [0, 1, 5]].values
    phenotype_train.to_csv(traindirec+os.sep+newtrainfilename+".dat",sep="\t",index=False,header=False)   
    
    pcs_train = pd.read_table(traindirec+os.sep+trainfilename+".eigenvec", sep="\s+",header=None, names=["FID", "IID"] + [f"PC{str(i)}" for i in range(1, int(p)+1)])
    covariate_train = pd.read_table(traindirec+os.sep+trainfilename+".cov",sep="\s+")
    covariate_train.fillna(0, inplace=True)
    covariate_train = covariate_train[covariate_train["FID"].isin(pcs_train["FID"].values) & covariate_train["IID"].isin(pcs_train["IID"].values)]
    covariate_train['FID'] = covariate_train['FID'].astype(str)
    pcs_train['FID'] = pcs_train['FID'].astype(str)
    covariate_train['IID'] = covariate_train['IID'].astype(str)
    pcs_train['IID'] = pcs_train['IID'].astype(str)
    covandpcs_train = pd.merge(covariate_train, pcs_train, on=["FID","IID"])
    covandpcs_train.fillna(0, inplace=True)
    covandpcs_train.to_csv(traindirec+os.sep+trainfilename+".COV_PCA",sep="\t",index=False)
    covandpcs_train.to_csv(traindirec+os.sep+trainfilename+".COV_PCA_MTG2",sep="\t",index=False,header=False)
    
    covandpcs_train.iloc[:, 2:].to_csv(traindirec+os.sep+trainfilename+".COV_PCAgemma", header=False, index=False,sep="\t")
    from sklearn.preprocessing import MinMaxScaler
    from sklearn.metrics import explained_variance_score
    scaler = MinMaxScaler()
    normalized_values_train = scaler.fit_transform(covandpcs_train.iloc[:, 2:])    
    
    tempphenotype_test = pd.read_table(traindirec+os.sep+testfilename+".clumped.pruned"+".fam", sep="\s+",header=None)
    phenotype_test= pd.DataFrame()
 
    phenotype_test[["FID", "IID", "t1"]] = tempphenotype_test.iloc[:, [0, 1, 5]].values
    phenotype_test.to_csv(traindirec+os.sep+testfilename+".dat",sep="\t",index=False,header=False)
    
    pcs_test = pd.read_table(traindirec+os.sep+testfilename+".eigenvec", sep="\s+",header=None, names=["FID", "IID"] + [f"PC{str(i)}" for i in range(1, int(p)+1)])
    covariate_test = pd.read_table(traindirec+os.sep+testfilename+".cov",sep="\s+")
    covariate_test.fillna(0, inplace=True)
    covariate_test = covariate_test[covariate_test["FID"].isin(pcs_test["FID"].values) & covariate_test["IID"].isin(pcs_test["IID"].values)]
    covariate_test['FID'] = covariate_test['FID'].astype(str)
    pcs_test['FID'] = pcs_test['FID'].astype(str)
    covariate_test['IID'] = covariate_test['IID'].astype(str)
    pcs_test['IID'] = pcs_test['IID'].astype(str)
    covandpcs_test = pd.merge(covariate_test, pcs_test, on=["FID","IID"])
    covandpcs_test.fillna(0, inplace=True)
    normalized_values_test  = scaler.transform(covandpcs_test.iloc[:, 2:])
    covandpcs_test.to_csv(traindirec+os.sep+testfilename+".COV_PCA",sep="\t",index=False)
    covandpcs_test.to_csv(traindirec+os.sep+testfilename+".COV_PCA_MTG2",sep="\t",index=False,header=False)
    
    covandpcs_test.iloc[:, 2:].to_csv(traindirec+os.sep+testfilename+".COV_PCAgemma", header=False, index=False,sep="\t")   
 
    import glob

    def delete_files_with_prefix(directory, filename_prefix,prefix):
        """
        Deletes all files in the specified directory that start with the given filename prefix.

        Parameters:
        directory (str): The directory where the files are located.
        filename_prefix (str): The prefix of the filenames to be deleted.
        """
        # Construct the full file prefix
        file_prefix = os.path.join(directory, filename_prefix + prefix)

        # Find all files that match the prefix
        files_to_delete = glob.glob(file_prefix + "*")

        # Delete each file
        for file in files_to_delete:
            try:
                os.remove(file)
                print(f"Deleted: {file}")
            except Exception as e:
                print(f"Failed to delete {file}: {e}")

    # Delete the files generated in the previous iteration. 
    delete_files_with_prefix(traindirec, newtrainfilename,"mtg2temp")
    delete_files_with_prefix(traindirec, newtrainfilename,"MTG_SCORE")
    delete_files_with_prefix(traindirec, newtrainfilename,"MTG_GWAS")
    delete_files_with_prefix(traindirec, newtrainfilename,"train_data.QCmtgtmp")
    
    
    # First make grm using Plink.
    
    command = [
    "./plink",
    "--bfile", traindirec+os.sep+newtrainfilename+".clumped.pruned",
    "--make-grm-bin",
    "--out", traindirec+os.sep+newtrainfilename+"tempgrm"
    ]
    print(" ".join(command))
    subprocess.run(command)
    
    # Generate a set of specific files required by MTG
    command = [
    "./mtg2",
        "-p", traindirec+os.sep+newtrainfilename+  ".clumped.pruned"+".fam",
        "-bg",traindirec+os.sep+newtrainfilename+"tempgrm.grm.bin",
        "-d", traindirec+os.sep+newtrainfilename+".dat",
        "-bv",traindirec+os.sep+newtrainfilename+"mtg2temp.bv",
        "-sv",traindirec+os.sep+newtrainfilename+"mtg2temp.sv",
        "-bvr", traindirec+os.sep+newtrainfilename+"mtg2temp.bvr",
        #"-eig", grm_file,
        #"-cc", class_cov_file,
        #"-sbv", sblupmodel,
        "-qc", traindirec+os.sep+trainfilename+".COV_PCA_MTG2",
        "-out", traindirec+os.sep+newtrainfilename+"mtg2temp",
        #"-sv", start_value_file,
        "-mod", str(1)
        
    ]

    # Run the command
    print(" ".join(command))
    subprocess.run(command)
    command = [
        "./mtg2",
        "-plink", traindirec+os.sep+newtrainfilename+".clumped.pruned",
        "-frq","1",
        "-out", traindirec+os.sep+newtrainfilename
    ]

    # Run the command
    print(" ".join(command))
    subprocess.run(command)
    
    command = [
        "./mtg2",
        "-plink", traindirec+os.sep+newtrainfilename+".clumped.pruned",
        "-vgpy", traindirec+os.sep+newtrainfilename + "mtg2temp",
        "-sbv", sblupmodel,
        "-out", traindirec+os.sep+newtrainfilename+"mtg2temp"
    ]

    # Run the command
    print(" ".join(command))
    #subprocess.run(command)
    #raise
    
    t_value = "1"  
    input_file = traindirec+os.sep+newtrainfilename+"mtg2temp.bv.py"
    tmp_file = traindirec+os.sep+newtrainfilename+"mtgtmp"
    awk_command = f"awk '$1=={t_value} {{print $2}}' {input_file} > {tmp_file}"
    
    subprocess.run(awk_command, shell=True)
     
    mtg2_command = [
        "./mtg2",
        "-plink", traindirec+os.sep+newtrainfilename+".clumped.pruned",
        "-vgpy", tmp_file,
        "-sbv", sblupmodel,
        "-out", traindirec+os.sep+newtrainfilename+"MTG_SCORE"
    ]

    # Run the mtg2 command
    print(" ".join(mtg2_command))
    subprocess.run(mtg2_command)
    
    
     
    temp = pd.read_csv( traindirec+os.sep+newtrainfilename+"MTG_SCORE",sep="\s+",header=None)
    print(temp.head())
    if check_phenotype_is_binary_or_continous(filedirec)=="Binary":
        temp[2] = np.log(temp[2])
    else:
        pass 
        
    
    temp[2] = temp[2].replace([np.inf, -np.inf], np.nan)  # Replace inf and -inf with NaN
    temp[2] = temp[2].fillna(0) 
    print(temp.head())
    
    temp.to_csv(traindirec+os.sep+newtrainfilename+"MTG_GWAS",sep="\t",index=False)

    command = [
        "./plink",
         "--bfile", traindirec+os.sep+newtrainfilename+".clumped.pruned",
        ### SNP column = 3, Effect allele column 1 = 4, OR column=9
        "--score",  traindirec+os.sep+newtrainfilename+"MTG_GWAS", "1", "2", "3", "header",
        "--q-score-range", traindirec+os.sep+"range_list",traindirec+os.sep+"SNP.pvalue",
        "--extract", traindirec+os.sep+trainfilename+".valid.snp",
        "--out", traindirec+os.sep+Name+os.sep+trainfilename
    ]
    #exit(0)
    subprocess.run(command)



    command = [
        "./plink",
        "--bfile", folddirec+os.sep+testfilename+".clumped.pruned",
        ### SNP column = 3, Effect allele column 1 = 4, Beta column=12
        "--score",  traindirec+os.sep+newtrainfilename+"MTG_GWAS", "1", "2", "3", "header",
        "--q-score-range", traindirec+os.sep+"range_list",traindirec+os.sep+"SNP.pvalue",
        "--extract", traindirec+os.sep+trainfilename+".valid.snp",
        "--out", folddirec+os.sep+Name+os.sep+testfilename
    ]
    subprocess.run(command)     
    
    if check_phenotype_is_binary_or_continous(filedirec)=="Binary":
        print("Binary Phenotype!")
        fit_binary_phenotype_on_PRS(traindirec, newtrainfilename,p,sblupmodel, p1_val, p2_val, p3_val, c1_val, c2_val, c3_val,Name,pvaluefile)
    else:
        print("Continous Phenotype!")
        fit_continous_phenotype_on_PRS(traindirec, newtrainfilename,p,sblupmodel, p1_val, p2_val, p3_val, c1_val, c2_val, c3_val,Name,pvaluefile)

     
      
 
 

result_directory = "MTG2"

sblupmodels = ['a'  ]
# Nested loops to iterate over different parameter values
create_directory(folddirec+os.sep+result_directory)
for p1_val in p_window_size:
 for p2_val in p_slide_size: 
  for p3_val in p_LD_threshold:
   for c1_val in clump_p1:
    for c2_val in clump_r2:
     for c3_val in clump_kb:
      for p in numberofpca:
        for sblupmodel in sblupmodels:
         transform_mtg2_data(folddirec, newtrainfilename, p,sblupmodel, str(p1_val), str(p2_val), str(p3_val), str(c1_val), str(c2_val), str(c3_val), result_directory, pvaluefile)
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bv
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bvr.py
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bvr.fsl
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bvr
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bv.fsl
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bvr.r2
Deleted: SampleData1/Fold_0/train_data.QCmtg2temp.bv.py
Deleted: SampleData1/Fold_0/train_data.QCMTG_SCORE
Deleted: SampleData1/Fold_0/train_data.QCMTG_GWAS
./plink --bfile SampleData1/Fold_0/train_data.QC.clumped.pruned --make-grm-bin --out SampleData1/Fold_0/train_data.QCtempgrm
PLINK v1.90b7.2 64-bit (11 Dec 2023)           www.cog-genomics.org/plink/1.9/
(C) 2005-2023 Shaun Purcell, Christopher Chang   GNU General Public License v3
Logging to SampleData1/Fold_0/train_data.QCtempgrm.log.
Options in effect:
  --bfile SampleData1/Fold_0/train_data.QC.clumped.pruned
  --make-grm-bin
  --out SampleData1/Fold_0/train_data.QCtempgrm

63761 MB RAM detected; reserving 31880 MB for main workspace.
38646 variants loaded from .bim file.
380 people (183 males, 197 females) loaded from .fam.
380 phenotype values loaded from .fam.
Using up to 8 threads (change this with --threads).
Before main variant filters, 380 founders and 0 nonfounders present.
Calculating allele frequencies... 0%1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%21%22%23%24%25%26%27%28%29%30%31%32%33%34%35%36%37%38%39%40%41%42%43%44%45%46%47%48%49%50%51%52%53%54%55%56%57%58%59%60%61%62%63%64%65%66%67%68%69%70%71%72%73%74%75%76%77%78%79%80%81%82%83%84%85%86%87%88%89%90%91%92%93%94%95%96%97%98%99% done.
Total genotyping rate is exactly 1.
38646 variants and 380 people pass filters and QC.
Phenotype data is quantitative.
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Relationship matrix calculation complete.

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Relationship matrix written to SampleData1/Fold_0/train_data.QCtempgrm.grm.bin
, and IDs written to SampleData1/Fold_0/train_data.QCtempgrm.grm.id .
./mtg2 -p SampleData1/Fold_0/train_data.QC.clumped.pruned.fam -bg SampleData1/Fold_0/train_data.QCtempgrm.grm.bin -d SampleData1/Fold_0/train_data.QC.dat -bv SampleData1/Fold_0/train_data.QCmtg2temp.bv -sv SampleData1/Fold_0/train_data.QCmtg2temp.sv -bvr SampleData1/Fold_0/train_data.QCmtg2temp.bvr -qc SampleData1/Fold_0/train_data.COV_PCA_MTG2 -out SampleData1/Fold_0/train_data.QCmtg2temp -mod 1
 ******************************************************************
 MTG2 version 2.22 (Oct2021)
 ******************************************************************
 ID file   : SampleData1/Fold_0/train_data.QC.clumped.pruned.fam
 bgrm file : SampleData1/Fold_0/train_data.QCtempgrm.grm.bin
 dat file  : SampleData1/Fold_0/train_data.QC.dat
 ebv output: SampleData1/Fold_0/train_data.QCmtg2temp.bv
 sv file   : SampleData1/Fold_0/train_data.QCmtg2temp.sv
 ebv output: SampleData1/Fold_0/train_data.QCmtg2temp.bvr
 qc file   : SampleData1/Fold_0/train_data.COV_PCA_MTG2
 out file  : SampleData1/Fold_0/train_data.QCmtg2temp
 nr mode   : 1
 
 no. ID:                    380
 no. grm:                      1
 data check >>> take 1:  3.6640000E-03
 data check >>> take 2:  1.1809000E-02
   1  trait 1   mean
   2  trait 1    1th in qc file 
   3  trait 1    2th in qc file 
   4  trait 1    3th in qc file 
   5  trait 1    4th in qc file 
   6  trait 1    5th in qc file 
   7  trait 1    6th in qc file 
   8  trait 1    7th in qc file 
 *********************************************************************
 MTGREML, MTGBLUP, SNP BLUP, Random regression and many
 The length (row) of ID and data should be the same
 The order of GRM follows ID file
 The order of covariate file should be the same as ID file
 Cite "Maier et al (2015) AJHG 96: 283-294" or
      "Lee and van der Werf (2016) Bioinformatics 32: 1420-1422
 *********************************************************************
 
 grm file:SampleData1/Fold_0/train_data.QCtempgrm.grm.bin                 
 grm reading done *****************************
 
== start  20241017  022817.540            +1000               
 *** number of records used ***
 trait                     1 :                   380
 
 V inverse done - time:  2.4580001E-03
    LKH     -129.2133
     Ve        0.4473
 
     Va        0.4473
 
 derivatives done - time:  5.6800002E-04
 
 V inverse done - time:  1.4609999E-03
 likelihood nan >> update reduced by the factor
 V inverse done - time:  1.4690000E-03
 likelihood nan >> update reduced by the factor
 V inverse done - time:  1.4800000E-03
    LKH     -125.6596
     Ve        0.2043
 
     Va        0.6055
 
 derivatives done - time:  5.3700001E-04
 
 V inverse done - time:  1.4890000E-03
 likelihood nan >> update reduced by the factor
 V inverse done - time:  1.4770000E-03
    LKH     -123.8149
     Ve        0.0260
 
     Va        0.6970
 
 derivatives done - time:  5.3600001E-04
 
 V inverse done - time:  1.5050001E-03
    LKH     -123.7388
     Ve        0.0231
 
     Va        0.6788
 
 derivatives done - time:  5.3600001E-04
 
 V inverse done - time:  1.5240000E-03
    LKH     -123.7387
     Ve        0.0234
 
     Va        0.6791
 
 derivatives done - time:  5.3800002E-04
 
 for BLUP solution after convergence *******************
 for BLUP solution and reliability after convergence ***********
== finish  20241017  022817.644            +1000               
./mtg2 -plink SampleData1/Fold_0/train_data.QC.clumped.pruned -frq 1 -out SampleData1/Fold_0/train_data.QC
 ******************************************************************
 MTG2 version 2.22 (Oct2021)
 ******************************************************************
 plink     : SampleData1/Fold_0/train_data.QC.clumped.pruned
 freq      : 1
 out file  : SampleData1/Fold_0/train_data.QC
 
 no. ID:                    380
 data check >>> take 1:  1.1280000E-03
 data check >>> take 2:  1.0576000E-02
 *********************************************************************
 MTGREML, MTGBLUP, SNP BLUP, Random regression and many
 The length (row) of ID and data should be the same
 The order of GRM follows ID file
 The order of covariate file should be the same as ID file
 Cite "Maier et al (2015) AJHG 96: 283-294" or
      "Lee and van der Werf (2016) Bioinformatics 32: 1420-1422
 *********************************************************************
 
 grm reading done *****************************
 
 no. ID    :                    380
 no. marker:                  38646
 1 - ok 2 - ok   SNP-major mode for PLINK .bed file
                     1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 99% done
 *********************************************************************
 allele frequency
                     1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 99% done
./mtg2 -plink SampleData1/Fold_0/train_data.QC.clumped.pruned -vgpy SampleData1/Fold_0/train_data.QCmtg2temp -sbv a -out SampleData1/Fold_0/train_data.QCmtg2temp
./mtg2 -plink SampleData1/Fold_0/train_data.QC.clumped.pruned -vgpy SampleData1/Fold_0/train_data.QCmtgtmp -sbv a -out SampleData1/Fold_0/train_data.QCMTG_SCORE
 ******************************************************************
 MTG2 version 2.22 (Oct2021)
 ******************************************************************
 plink     : SampleData1/Fold_0/train_data.QC.clumped.pruned
 vgpy      : SampleData1/Fold_0/train_data.QCmtgtmp
 snp_blup  : a
 out file  : SampleData1/Fold_0/train_data.QCMTG_SCORE
 
 no. ID:                    380
 data check >>> take 1:  1.1440000E-03
 data check >>> take 2:  1.0250000E-02
 *********************************************************************
 MTGREML, MTGBLUP, SNP BLUP, Random regression and many
 The length (row) of ID and data should be the same
 The order of GRM follows ID file
 The order of covariate file should be the same as ID file
 Cite "Maier et al (2015) AJHG 96: 283-294" or
      "Lee and van der Werf (2016) Bioinformatics 32: 1420-1422
 *********************************************************************
 
 grm reading done *****************************
 
 no. ID    :                    380
 no. marker:                  38646
 1 - ok 2 - ok   SNP-major mode for PLINK .bed file
                     1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 99% done
 *********************************************************************
 allele frequency
                     1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 99% done
 *********************************************************************
 snp blup 
            0  1         2
0  rs11240779  G  0.000100
1   rs2272757  G -0.000243
2  rs11260596  T -0.000407
3   rs9442373  C  0.000743
4   rs7538773  G  0.000133
            0  1         2
0  rs11240779  G  0.000100
1   rs2272757  G -0.000243
2  rs11260596  T -0.000407
3   rs9442373  C  0.000743
4   rs7538773  G  0.000133
PLINK v1.90b7.2 64-bit (11 Dec 2023)           www.cog-genomics.org/plink/1.9/
(C) 2005-2023 Shaun Purcell, Christopher Chang   GNU General Public License v3
Logging to SampleData1/Fold_0/MTG2/train_data.log.
Options in effect:
  --bfile SampleData1/Fold_0/train_data.QC.clumped.pruned
  --extract SampleData1/Fold_0/train_data.valid.snp
  --out SampleData1/Fold_0/MTG2/train_data
  --q-score-range SampleData1/Fold_0/range_list SampleData1/Fold_0/SNP.pvalue
  --score SampleData1/Fold_0/train_data.QCMTG_GWAS 1 2 3 header

63761 MB RAM detected; reserving 31880 MB for main workspace.
38646 variants loaded from .bim file.
380 people (183 males, 197 females) loaded from .fam.
380 phenotype values loaded from .fam.
--extract: 38646 variants remaining.
Using 1 thread (no multithreaded calculations invoked).
Before main variant filters, 380 founders and 0 nonfounders present.
Calculating allele frequencies... 10111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697989 done.
Total genotyping rate is exactly 1.
38646 variants and 380 people pass filters and QC.
Phenotype data is quantitative.
--score: 38646 valid predictors loaded.
Warning: 460972 lines skipped in --q-score-range data file.
--score: 20 ranges processed.
Results written to SampleData1/Fold_0/MTG2/train_data.*.profile.
PLINK v1.90b7.2 64-bit (11 Dec 2023)           www.cog-genomics.org/plink/1.9/
(C) 2005-2023 Shaun Purcell, Christopher Chang   GNU General Public License v3
Logging to SampleData1/Fold_0/MTG2/test_data.log.
Options in effect:
  --bfile SampleData1/Fold_0/test_data.clumped.pruned
  --extract SampleData1/Fold_0/train_data.valid.snp
  --out SampleData1/Fold_0/MTG2/test_data
  --q-score-range SampleData1/Fold_0/range_list SampleData1/Fold_0/SNP.pvalue
  --score SampleData1/Fold_0/train_data.QCMTG_GWAS 1 2 3 header

63761 MB RAM detected; reserving 31880 MB for main workspace.
38646 variants loaded from .bim file.
95 people (44 males, 51 females) loaded from .fam.
95 phenotype values loaded from .fam.
--extract: 38646 variants remaining.
Using 1 thread (no multithreaded calculations invoked).
Before main variant filters, 95 founders and 0 nonfounders present.
Calculating allele frequencies... 0%1%2%3%4%5%6%7%8%9%10%11%12%13%14%15%16%17%18%19%20%21%22%23%24%25%26%27%28%29%30%31%32%33%34%35%36%37%38%39%40%41%42%43%44%45%46%47%48%49%50%51%52%53%54%55%56%57%58%59%60%61%62%63%64%65%66%67%68%69%70%71%72%73%74%75%76%77%78%79%80%81%82%83%84%85%86%87%88%89%90%91%92%93%94%95%96%97%98%99% done.
Total genotyping rate is exactly 1.
38646 variants and 95 people pass filters and QC.
Phenotype data is quantitative.
--score: 38646 valid predictors loaded.
--score: 20 ranges processed.
Results written to SampleData1/Fold_0/MTG2/test_data.*.profile.
Continous Phenotype!
Warning: 460972 lines skipped in --q-score-range data file.

Repeat the process for each fold.#

Change the foldnumber variable.

#foldnumber = sys.argv[1]
foldnumber = "0"  # Setting 'foldnumber' to "0"

Or uncomment the following line:

# foldnumber = sys.argv[1]
python MTG2.py 0
python MTG2.py 1
python MTG2.py 2
python MTG2.py 3
python MTG2.py 4

The following files should exist after the execution:

  1. SampleData1/Fold_0/MTG2/Results.csv

  2. SampleData1/Fold_1/MTG2/Results.csv

  3. SampleData1/Fold_2/MTG2/Results.csv

  4. SampleData1/Fold_3/MTG2/Results.csv

  5. SampleData1/Fold_4/MTG2/Results.csv

Check the results file for each fold.#

import os

 
# List of file names to check for existence
f = [
    "./"+filedirec+"/Fold_0"+os.sep+result_directory+"Results.csv",
    "./"+filedirec+"/Fold_1"+os.sep+result_directory+"Results.csv",
    "./"+filedirec+"/Fold_2"+os.sep+result_directory+"Results.csv",
    "./"+filedirec+"/Fold_3"+os.sep+result_directory+"Results.csv",
    "./"+filedirec+"/Fold_4"+os.sep+result_directory+"Results.csv",
]

 

# Loop through each file name in the list
for loop in range(0,5):
    # Check if the file exists in the specified directory for the given fold
    if os.path.exists(filedirec+os.sep+"Fold_"+str(loop)+os.sep+result_directory+os.sep+"Results.csv"):
        temp = pd.read_csv(filedirec+os.sep+"Fold_"+str(loop)+os.sep+result_directory+os.sep+"Results.csv")
        print("Fold_",loop, "Yes, the file exists.")
        #print(temp.head())
        print("Number of P-values processed: ",len(temp))
        # Print a message indicating that the file exists
    
    else:
        # Print a message indicating that the file does not exist
        print("Fold_",loop, "No, the file does not exist.")
Fold_ 0 Yes, the file exists.
Number of P-values processed:  20
Fold_ 1 Yes, the file exists.
Number of P-values processed:  20
Fold_ 2 Yes, the file exists.
Number of P-values processed:  20
Fold_ 3 Yes, the file exists.
Number of P-values processed:  20
Fold_ 4 Yes, the file exists.
Number of P-values processed:  20

Sum the results for each fold.#

print("We have to ensure when we sum the entries across all Folds, the same rows are merged!")

def sum_and_average_columns(data_frames):
    """Sum and average numerical columns across multiple DataFrames, and keep non-numerical columns unchanged."""
    # Initialize DataFrame to store the summed results for numerical columns
    summed_df = pd.DataFrame()
    non_numerical_df = pd.DataFrame()
    
    for df in data_frames:
        # Identify numerical and non-numerical columns
        numerical_cols = df.select_dtypes(include=[np.number]).columns
        non_numerical_cols = df.select_dtypes(exclude=[np.number]).columns
        
        # Sum numerical columns
        if summed_df.empty:
            summed_df = pd.DataFrame(0, index=range(len(df)), columns=numerical_cols)
        
        summed_df[numerical_cols] = summed_df[numerical_cols].add(df[numerical_cols], fill_value=0)
        
        # Keep non-numerical columns (take the first non-numerical entry for each column)
        if non_numerical_df.empty:
            non_numerical_df = df[non_numerical_cols]
        else:
            non_numerical_df[non_numerical_cols] = non_numerical_df[non_numerical_cols].combine_first(df[non_numerical_cols])
    
    # Divide the summed values by the number of dataframes to get the average
    averaged_df = summed_df / len(data_frames)
    
    # Combine numerical and non-numerical DataFrames
    result_df = pd.concat([averaged_df, non_numerical_df], axis=1)
    
    return result_df

from functools import reduce

import os
import pandas as pd
from functools import reduce

def find_common_rows(allfoldsframe):
    # Define the performance columns that need to be excluded
    performance_columns = [
        'Train_null_model', 'Train_pure_prs', 'Train_best_model',
        'Test_pure_prs', 'Test_null_model', 'Test_best_model'
    ]
    important_columns = [
        'clump_p1',
        'clump_r2',
        'clump_kb',
        'p_window_size',
        'p_slide_size',
        'p_LD_threshold',
        'pvalue',
        'referencepanel',
        'sblupmodel',
        'effectsizes',
        'h2model',
        
        'model',
        'numberofpca',
        'tempalpha',
        'l1weight',
         
       
    ]
    # Function to remove performance columns from a DataFrame
    def drop_performance_columns(df):
        return df.drop(columns=performance_columns, errors='ignore')
    
    def get_important_columns(df ):
        existing_columns = [col for col in important_columns if col in df.columns]
        if existing_columns:
            return df[existing_columns].copy()
        else:
            return pd.DataFrame()

    # Drop performance columns from all DataFrames in the list
    allfoldsframe_dropped = [drop_performance_columns(df) for df in allfoldsframe]
    
    # Get the important columns.
    allfoldsframe_dropped = [get_important_columns(df) for df in allfoldsframe_dropped]    
    
    # Iteratively find common rows and track unique and common rows
    common_rows = allfoldsframe_dropped[0]
    for i in range(1, len(allfoldsframe_dropped)):
        # Get the next DataFrame
        next_df = allfoldsframe_dropped[i]

        # Count unique rows in the current DataFrame and the next DataFrame
        unique_in_common = common_rows.shape[0]
        unique_in_next = next_df.shape[0]

        # Find common rows between the current common_rows and the next DataFrame
        common_rows = pd.merge(common_rows, next_df, how='inner')
    
        # Count the common rows after merging
        common_count = common_rows.shape[0]

        # Print the unique and common row counts
        print(f"Iteration {i}:")
        print(f"Unique rows in current common DataFrame: {unique_in_common}")
        print(f"Unique rows in next DataFrame: {unique_in_next}")
        print(f"Common rows after merge: {common_count}\n")
    # Now that we have the common rows, extract these from the original DataFrames
 
    extracted_common_rows_frames = []
    for original_df in allfoldsframe:
        # Merge the common rows with the original DataFrame, keeping only the rows that match the common rows
        extracted_common_rows = pd.merge(common_rows, original_df, how='inner', on=common_rows.columns.tolist())
        
        # Add the DataFrame with the extracted common rows to the list
        extracted_common_rows_frames.append(extracted_common_rows)

    # Print the number of rows in the common DataFrames
    for i, df in enumerate(extracted_common_rows_frames):
        print(f"DataFrame {i + 1} with extracted common rows has {df.shape[0]} rows.")

    # Return the list of DataFrames with extracted common rows
    return extracted_common_rows_frames



# Example usage (assuming allfoldsframe is populated as shown earlier):
allfoldsframe = []

# Loop through each file name in the list
for loop in range(0, 5):
    # Check if the file exists in the specified directory for the given fold
    file_path = os.path.join(filedirec, "Fold_" + str(loop), result_directory, "Results.csv")
    if os.path.exists(file_path):
        allfoldsframe.append(pd.read_csv(file_path))
        # Print a message indicating that the file exists
        print("Fold_", loop, "Yes, the file exists.")
    else:
        # Print a message indicating that the file does not exist
        print("Fold_", loop, "No, the file does not exist.")

# Find the common rows across all folds and return the list of extracted common rows
extracted_common_rows_list = find_common_rows(allfoldsframe)
 
# Sum the values column-wise
# For string values, do not sum it the values are going to be the same for each fold.
# Only sum the numeric values.

divided_result = sum_and_average_columns(extracted_common_rows_list)
  
print(divided_result)

 
We have to ensure when we sum the entries across all Folds, the same rows are merged!
Fold_ 0 Yes, the file exists.
Fold_ 1 Yes, the file exists.
Fold_ 2 Yes, the file exists.
Fold_ 3 Yes, the file exists.
Fold_ 4 Yes, the file exists.
Iteration 1:
Unique rows in current common DataFrame: 20
Unique rows in next DataFrame: 20
Common rows after merge: 20

Iteration 2:
Unique rows in current common DataFrame: 20
Unique rows in next DataFrame: 20
Common rows after merge: 20

Iteration 3:
Unique rows in current common DataFrame: 20
Unique rows in next DataFrame: 20
Common rows after merge: 20

Iteration 4:
Unique rows in current common DataFrame: 20
Unique rows in next DataFrame: 20
Common rows after merge: 20

DataFrame 1 with extracted common rows has 20 rows.
DataFrame 2 with extracted common rows has 20 rows.
DataFrame 3 with extracted common rows has 20 rows.
DataFrame 4 with extracted common rows has 20 rows.
DataFrame 5 with extracted common rows has 20 rows.
    clump_p1  clump_r2  clump_kb  p_window_size  p_slide_size  p_LD_threshold  \
0        1.0       0.1     200.0          200.0          50.0            0.25   
1        1.0       0.1     200.0          200.0          50.0            0.25   
2        1.0       0.1     200.0          200.0          50.0            0.25   
3        1.0       0.1     200.0          200.0          50.0            0.25   
4        1.0       0.1     200.0          200.0          50.0            0.25   
5        1.0       0.1     200.0          200.0          50.0            0.25   
6        1.0       0.1     200.0          200.0          50.0            0.25   
7        1.0       0.1     200.0          200.0          50.0            0.25   
8        1.0       0.1     200.0          200.0          50.0            0.25   
9        1.0       0.1     200.0          200.0          50.0            0.25   
10       1.0       0.1     200.0          200.0          50.0            0.25   
11       1.0       0.1     200.0          200.0          50.0            0.25   
12       1.0       0.1     200.0          200.0          50.0            0.25   
13       1.0       0.1     200.0          200.0          50.0            0.25   
14       1.0       0.1     200.0          200.0          50.0            0.25   
15       1.0       0.1     200.0          200.0          50.0            0.25   
16       1.0       0.1     200.0          200.0          50.0            0.25   
17       1.0       0.1     200.0          200.0          50.0            0.25   
18       1.0       0.1     200.0          200.0          50.0            0.25   
19       1.0       0.1     200.0          200.0          50.0            0.25   

          pvalue  numberofpca  tempalpha  l1weight  numberofvariants  \
0   1.000000e-10          6.0        0.1       0.1          119360.8   
1   3.359818e-10          6.0        0.1       0.1          119360.8   
2   1.128838e-09          6.0        0.1       0.1          119360.8   
3   3.792690e-09          6.0        0.1       0.1          119360.8   
4   1.274275e-08          6.0        0.1       0.1          119360.8   
5   4.281332e-08          6.0        0.1       0.1          119360.8   
6   1.438450e-07          6.0        0.1       0.1          119360.8   
7   4.832930e-07          6.0        0.1       0.1          119360.8   
8   1.623777e-06          6.0        0.1       0.1          119360.8   
9   5.455595e-06          6.0        0.1       0.1          119360.8   
10  1.832981e-05          6.0        0.1       0.1          119360.8   
11  6.158482e-05          6.0        0.1       0.1          119360.8   
12  2.069138e-04          6.0        0.1       0.1          119360.8   
13  6.951928e-04          6.0        0.1       0.1          119360.8   
14  2.335721e-03          6.0        0.1       0.1          119360.8   
15  7.847600e-03          6.0        0.1       0.1          119360.8   
16  2.636651e-02          6.0        0.1       0.1          119360.8   
17  8.858668e-02          6.0        0.1       0.1          119360.8   
18  2.976351e-01          6.0        0.1       0.1          119360.8   
19  1.000000e+00          6.0        0.1       0.1          119360.8   

    Train_pure_prs  Train_null_model  Train_best_model  Test_pure_prs  \
0         0.000005          0.233042          0.615159   5.278901e-07   
1         0.000005          0.233042          0.649624   5.881880e-07   
2         0.000005          0.233042          0.689173   8.325585e-07   
3         0.000005          0.233042          0.723270   5.760258e-07   
4         0.000005          0.233042          0.756249   4.012022e-07   
5         0.000005          0.233042          0.794610   3.769538e-07   
6         0.000005          0.233042          0.822460   4.669503e-07   
7         0.000004          0.233042          0.848809   3.254035e-07   
8         0.000004          0.233042          0.872329   1.745692e-07   
9         0.000004          0.233042          0.897692   1.378133e-07   
10        0.000004          0.233042          0.915485   1.570614e-07   
11        0.000004          0.233042          0.932714   2.162367e-07   
12        0.000004          0.233042          0.949348   1.252390e-07   
13        0.000004          0.233042          0.964592   1.365863e-07   
14        0.000004          0.233042          0.974871   1.337352e-07   
15        0.000004          0.233042          0.982870   1.101902e-07   
16        0.000004          0.233042          0.988205  -2.707081e-09   
17        0.000004          0.233042          0.992633   4.757402e-08   
18        0.000004          0.233042          0.995338   9.350707e-09   
19        0.000004          0.233042          0.997570  -4.664821e-08   

    Test_null_model  Test_best_model sblupmodel  
0           0.14081        -0.082335          a  
1           0.14081        -0.050111          a  
2           0.14081        -0.044346          a  
3           0.14081        -0.045663          a  
4           0.14081        -0.010222          a  
5           0.14081         0.019770          a  
6           0.14081         0.048416          a  
7           0.14081         0.036113          a  
8           0.14081         0.020400          a  
9           0.14081         0.037645          a  
10          0.14081         0.075936          a  
11          0.14081         0.113128          a  
12          0.14081         0.115224          a  
13          0.14081         0.130171          a  
14          0.14081         0.153894          a  
15          0.14081         0.153913          a  
16          0.14081         0.129849          a  
17          0.14081         0.150262          a  
18          0.14081         0.144988          a  
19          0.14081         0.134872          a  
/tmp/ipykernel_3531592/2573346657.py:24: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  non_numerical_df[non_numerical_cols] = non_numerical_df[non_numerical_cols].combine_first(df[non_numerical_cols])
/tmp/ipykernel_3531592/2573346657.py:24: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  non_numerical_df[non_numerical_cols] = non_numerical_df[non_numerical_cols].combine_first(df[non_numerical_cols])
/tmp/ipykernel_3531592/2573346657.py:24: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  non_numerical_df[non_numerical_cols] = non_numerical_df[non_numerical_cols].combine_first(df[non_numerical_cols])
/tmp/ipykernel_3531592/2573346657.py:24: SettingWithCopyWarning: 
A value is trying to be set on a copy of a slice from a DataFrame.
Try using .loc[row_indexer,col_indexer] = value instead

See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy
  non_numerical_df[non_numerical_cols] = non_numerical_df[non_numerical_cols].combine_first(df[non_numerical_cols])

Results#

1. Reporting Based on Best Training Performance:#

  • One can report the results based on the best performance of the training data. For example, if for a specific combination of hyperparameters, the training performance is high, report the corresponding test performance.

  • Example code:

    df = divided_result.sort_values(by='Train_best_model', ascending=False)
    print(df.iloc[0].to_markdown())
    

Binary Phenotypes Result Analysis#

You can find the performance quality for binary phenotype using the following template:

PerformanceBinary

This figure shows the 8 different scenarios that can exist in the results, and the following table explains each scenario.

We classified performance based on the following table:

Performance Level

Range

Low Performance

0 to 0.5

Moderate Performance

0.6 to 0.7

High Performance

0.8 to 1

You can match the performance based on the following scenarios:

Scenario

What’s Happening

Implication

High Test, High Train

The model performs well on both training and test datasets, effectively learning the underlying patterns.

The model is well-tuned, generalizes well, and makes accurate predictions on both datasets.

High Test, Moderate Train

The model generalizes well but may not be fully optimized on training data, missing some underlying patterns.

The model is fairly robust but may benefit from further tuning or more training to improve its learning.

High Test, Low Train

An unusual scenario, potentially indicating data leakage or overestimation of test performance.

The model’s performance is likely unreliable; investigate potential data issues or random noise.

Moderate Test, High Train

The model fits the training data well but doesn’t generalize as effectively, capturing only some test patterns.

The model is slightly overfitting; adjustments may be needed to improve generalization on unseen data.

Moderate Test, Moderate Train

The model shows balanced but moderate performance on both datasets, capturing some patterns but missing others.

The model is moderately fitting; further improvements could be made in both training and generalization.

Moderate Test, Low Train

The model underperforms on training data and doesn’t generalize well, leading to moderate test performance.

The model may need more complexity, additional features, or better training to improve on both datasets.

Low Test, High Train

The model overfits the training data, performing poorly on the test set.

The model doesn’t generalize well; simplifying the model or using regularization may help reduce overfitting.

Low Test, Low Train

The model performs poorly on both training and test datasets, failing to learn the data patterns effectively.

The model is underfitting; it may need more complexity, additional features, or more data to improve performance.

Recommendations for Publishing Results#

When publishing results, scenarios with moderate train and moderate test performance can be used for complex phenotypes or diseases. However, results showing high train and moderate test, high train and high test, and moderate train and high test are recommended.

For most phenotypes, results typically fall in the moderate train and moderate test performance category.

Continuous Phenotypes Result Analysis#

You can find the performance quality for continuous phenotypes using the following template:

PerformanceContinous

This figure shows the 8 different scenarios that can exist in the results, and the following table explains each scenario.

We classified performance based on the following table:

Performance Level

Range

Low Performance

0 to 0.2

Moderate Performance

0.3 to 0.7

High Performance

0.8 to 1

You can match the performance based on the following scenarios:

Scenario

What’s Happening

Implication

High Test, High Train

The model performs well on both training and test datasets, effectively learning the underlying patterns.

The model is well-tuned, generalizes well, and makes accurate predictions on both datasets.

High Test, Moderate Train

The model generalizes well but may not be fully optimized on training data, missing some underlying patterns.

The model is fairly robust but may benefit from further tuning or more training to improve its learning.

High Test, Low Train

An unusual scenario, potentially indicating data leakage or overestimation of test performance.

The model’s performance is likely unreliable; investigate potential data issues or random noise.

Moderate Test, High Train

The model fits the training data well but doesn’t generalize as effectively, capturing only some test patterns.

The model is slightly overfitting; adjustments may be needed to improve generalization on unseen data.

Moderate Test, Moderate Train

The model shows balanced but moderate performance on both datasets, capturing some patterns but missing others.

The model is moderately fitting; further improvements could be made in both training and generalization.

Moderate Test, Low Train

The model underperforms on training data and doesn’t generalize well, leading to moderate test performance.

The model may need more complexity, additional features, or better training to improve on both datasets.

Low Test, High Train

The model overfits the training data, performing poorly on the test set.

The model doesn’t generalize well; simplifying the model or using regularization may help reduce overfitting.

Low Test, Low Train

The model performs poorly on both training and test datasets, failing to learn the data patterns effectively.

The model is underfitting; it may need more complexity, additional features, or more data to improve performance.

Recommendations for Publishing Results#

When publishing results, scenarios with moderate train and moderate test performance can be used for complex phenotypes or diseases. However, results showing high train and moderate test, high train and high test, and moderate train and high test are recommended.

For most continuous phenotypes, results typically fall in the moderate train and moderate test performance category.

2. Reporting Generalized Performance:#

  • One can also report the generalized performance by calculating the difference between the training and test performance, and the sum of the test and training performance. Report the result or hyperparameter combination for which the sum is high and the difference is minimal.

  • Example code:

    df = divided_result.copy()
    df['Difference'] = abs(df['Train_best_model'] - df['Test_best_model'])
    df['Sum'] = df['Train_best_model'] + df['Test_best_model']
    
    sorted_df = df.sort_values(by=['Sum', 'Difference'], ascending=[False, True])
    print(sorted_df.iloc[0].to_markdown())
    

3. Reporting Hyperparameters Affecting Test and Train Performance:#

  • Find the hyperparameters that have more than one unique value and calculate their correlation with the following columns to understand how they are affecting the performance of train and test sets:

    • Train_null_model

    • Train_pure_prs

    • Train_best_model

    • Test_pure_prs

    • Test_null_model

    • Test_best_model

4. Other Analysis#

  1. Once you have the results, you can find how hyperparameters affect the model performance.

  2. Analysis, like overfitting and underfitting, can be performed as well.

  3. The way you are going to report the results can vary.

  4. Results can be visualized, and other patterns in the data can be explored.

import pandas as pd
import seaborn as sns
import matplotlib.pyplot as plt
%matplotlib notebook

import matplotlib
import numpy as np
import matplotlib.pyplot as plt

df = divided_result.sort_values(by='Train_best_model', ascending=False)
print("1. Reporting Based on Best Training Performance:\n")
print(df.iloc[0].to_markdown())


 
df = divided_result.copy()

# Plot Train and Test best models against p-values
plt.figure(figsize=(10, 6))
plt.plot(df['pvalue'], df['Train_best_model'], label='Train_best_model', marker='o', color='royalblue')
plt.plot(df['pvalue'], df['Test_best_model'], label='Test_best_model', marker='o', color='darkorange')

# Highlight the p-value where both train and test are high
best_index = df[['Train_best_model']].sum(axis=1).idxmax()
best_pvalue = df.loc[best_index, 'pvalue']
best_train = df.loc[best_index, 'Train_best_model']
best_test = df.loc[best_index, 'Test_best_model']

# Use dark colors for the circles
plt.scatter(best_pvalue, best_train, color='darkred', s=100, label=f'Best Performance (Train)', edgecolor='black', zorder=5)
plt.scatter(best_pvalue, best_test, color='darkblue', s=100, label=f'Best Performance (Test)', edgecolor='black', zorder=5)

# Annotate the best performance with p-value, train, and test values
plt.text(best_pvalue, best_train, f'p={best_pvalue:.4g}\nTrain={best_train:.4g}', ha='right', va='bottom', fontsize=9, color='darkred')
plt.text(best_pvalue, best_test, f'p={best_pvalue:.4g}\nTest={best_test:.4g}', ha='right', va='top', fontsize=9, color='darkblue')

# Calculate Difference and Sum
df['Difference'] = abs(df['Train_best_model'] - df['Test_best_model'])
df['Sum'] = df['Train_best_model'] + df['Test_best_model']

# Sort the DataFrame
sorted_df = df.sort_values(by=['Sum', 'Difference'], ascending=[False, True])
#sorted_df = df.sort_values(by=[ 'Difference','Sum'], ascending=[  True,False])

# Highlight the general performance
general_index = sorted_df.index[0]
general_pvalue = sorted_df.loc[general_index, 'pvalue']
general_train = sorted_df.loc[general_index, 'Train_best_model']
general_test = sorted_df.loc[general_index, 'Test_best_model']

plt.scatter(general_pvalue, general_train, color='darkgreen', s=150, label='General Performance (Train)', edgecolor='black', zorder=6)
plt.scatter(general_pvalue, general_test, color='darkorange', s=150, label='General Performance (Test)', edgecolor='black', zorder=6)

# Annotate the general performance with p-value, train, and test values
plt.text(general_pvalue, general_train, f'p={general_pvalue:.4g}\nTrain={general_train:.4g}', ha='left', va='bottom', fontsize=9, color='darkgreen')
plt.text(general_pvalue, general_test, f'p={general_pvalue:.4g}\nTest={general_test:.4g}', ha='left', va='top', fontsize=9, color='darkorange')

# Add labels and legend
plt.xlabel('p-value')
plt.ylabel('Model Performance')
plt.title('Train vs Test Best Models')
plt.legend()
plt.show()
 




print("2. Reporting Generalized Performance:\n")
df = divided_result.copy()
df['Difference'] = abs(df['Train_best_model'] - df['Test_best_model'])
df['Sum'] = df['Train_best_model'] + df['Test_best_model']
sorted_df = df.sort_values(by=['Sum', 'Difference'], ascending=[False, True])
print(sorted_df.iloc[0].to_markdown())


print("3. Reporting the correlation of hyperparameters and the performance of 'Train_null_model', 'Train_pure_prs', 'Train_best_model', 'Test_pure_prs', 'Test_null_model', and 'Test_best_model':\n")

print("3. For string hyperparameters, we used one-hot encoding to find the correlation between string hyperparameters and 'Train_null_model', 'Train_pure_prs', 'Train_best_model', 'Test_pure_prs', 'Test_null_model', and 'Test_best_model'.")

print("3. We performed this analysis for those hyperparameters that have more than one unique value.")

correlation_columns = [
 'Train_null_model', 'Train_pure_prs', 'Train_best_model',
 'Test_pure_prs', 'Test_null_model', 'Test_best_model'
]

hyperparams = [col for col in divided_result.columns if len(divided_result[col].unique()) > 1]
hyperparams = list(set(hyperparams+correlation_columns))
 
# Separate numeric and string columns
numeric_hyperparams = [col for col in hyperparams if pd.api.types.is_numeric_dtype(divided_result[col])]
string_hyperparams = [col for col in hyperparams if pd.api.types.is_string_dtype(divided_result[col])]


# Encode string columns using one-hot encoding
divided_result_encoded = pd.get_dummies(divided_result, columns=string_hyperparams)

# Combine numeric hyperparams with the new one-hot encoded columns
encoded_columns = [col for col in divided_result_encoded.columns if col.startswith(tuple(string_hyperparams))]
hyperparams = numeric_hyperparams + encoded_columns
 

# Calculate correlations
correlations = divided_result_encoded[hyperparams].corr()
 
# Display correlation of hyperparameters with train/test performance columns
hyperparam_correlations = correlations.loc[hyperparams, correlation_columns]
 
hyperparam_correlations = hyperparam_correlations.fillna(0)

# Plotting the correlation heatmap
plt.figure(figsize=(12, 8))
ax = sns.heatmap(hyperparam_correlations, annot=True, cmap='viridis', fmt='.2f', cbar=True)
ax.set_xticklabels(ax.get_xticklabels(), rotation=90, ha='right')

# Rotate y-axis labels to horizontal
#ax.set_yticklabels(ax.get_yticklabels(), rotation=0, va='center')

plt.title('Correlation of Hyperparameters with Train/Test Performance')
plt.show() 

sns.set_theme(style="whitegrid")  # Choose your preferred style
pairplot = sns.pairplot(divided_result_encoded[hyperparams],hue = 'Test_best_model', palette='viridis')

# Adjust the figure size
pairplot.fig.set_size_inches(15, 15)  # You can adjust the size as needed

for ax in pairplot.axes.flatten():
    ax.set_xlabel(ax.get_xlabel(), rotation=90, ha='right')  # X-axis labels vertical
    #ax.set_ylabel(ax.get_ylabel(), rotation=0, va='bottom')  # Y-axis labels horizontal

# Show the plot
plt.show()
1. Reporting Based on Best Training Performance:

|                  | 19                      |
|:-----------------|:------------------------|
| clump_p1         | 1.0                     |
| clump_r2         | 0.1                     |
| clump_kb         | 200.0                   |
| p_window_size    | 200.0                   |
| p_slide_size     | 50.0                    |
| p_LD_threshold   | 0.25                    |
| pvalue           | 1.0                     |
| numberofpca      | 6.0                     |
| tempalpha        | 0.1                     |
| l1weight         | 0.1                     |
| numberofvariants | 119360.8                |
| Train_pure_prs   | 4.174464414630208e-06   |
| Train_null_model | 0.23304238949622894     |
| Train_best_model | 0.9975696809067985      |
| Test_pure_prs    | -4.6648211404765056e-08 |
| Test_null_model  | 0.14080992136239043     |
| Test_best_model  | 0.13487203221110902     |
| sblupmodel       | a                       |
2. Reporting Generalized Performance:

|                  | 17                     |
|:-----------------|:-----------------------|
| clump_p1         | 1.0                    |
| clump_r2         | 0.1                    |
| clump_kb         | 200.0                  |
| p_window_size    | 200.0                  |
| p_slide_size     | 50.0                   |
| p_LD_threshold   | 0.25                   |
| pvalue           | 0.0885866790410083     |
| numberofpca      | 6.0                    |
| tempalpha        | 0.1                    |
| l1weight         | 0.1                    |
| numberofvariants | 119360.8               |
| Train_pure_prs   | 4.290018806796248e-06  |
| Train_null_model | 0.23304238949622894    |
| Train_best_model | 0.9926331956337778     |
| Test_pure_prs    | 4.7574015904494625e-08 |
| Test_null_model  | 0.14080992136239043    |
| Test_best_model  | 0.1502621991374022     |
| sblupmodel       | a                      |
| Difference       | 0.8423709964963756     |
| Sum              | 1.14289539477118       |
3. Reporting the correlation of hyperparameters and the performance of 'Train_null_model', 'Train_pure_prs', 'Train_best_model', 'Test_pure_prs', 'Test_null_model', and 'Test_best_model':

3. For string hyperparameters, we used one-hot encoding to find the correlation between string hyperparameters and 'Train_null_model', 'Train_pure_prs', 'Train_best_model', 'Test_pure_prs', 'Test_null_model', and 'Test_best_model'.
3. We performed this analysis for those hyperparameters that have more than one unique value.