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bio_age.py
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bio_age.py
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#!/usr/bin/env python
# coding: utf-8
# # Notebook Version of Biological Age Code
# Edits 03/29/2020: V2.0
# * I made automatic groups detection (detects 1 or 2 groups)
# * Removed ggplot and changed Visualize.plots() to plot with matplotlib
# * The code is now compatible with pandas DataFrames. Just load in the DataFrame instead of converting to list.
# * Removed graph's ability to show SLR results of age, primarykey, samp_wt, sex against age (skip loop if idx belongs to important indices)
#
# Edits 7/15/2019:
# * I changed one line so that it's no longer reliable on column names being specifically 'age', 'seqn', 'group', etc.
# * Edited so it works as an importable notebook
# **Note: if you want to change the parameters GRAPHON or AGEON, you have to do it through the KDM method in the Methods Class in self.__init__()
# In[13]:
from numpy import mean, corrcoef, array
import math
from scipy import stats
import scipy as sp
from sklearn import datasets, linear_model
#import statsmodels.api as sm
import pandas as pd
import json
import matplotlib.pyplot as plt
import numpy as np
import datetime
# In[4]:
"""BIOLOGICAL AGE ALGORITHM
NOTE: RUN IN ANACONDA FOR PYTHON 2.7 ONLY
How to use commands:
- Create an instance of the data, then apply methods.
- e.g. To find means, use Summary(dataset).mean()
Classes:
Summary:
Methods:
.mean() [calculates mean]
.corr(col1, col2) [calculates Pearson's Corr Coefficient & p-value] *col2 can be a list or one column. Both parameters are OPTIONAL
.view [shows data as a dataframe]
Methods:
Methods:
.KDM() [gives Klemera & Doubal equation for biological age]
.cleandata(col1,col2) [gets rid of all rows with missing values]
.calcLR() [calculates linear regressions of all vars with age as predictor]
Visualize:
.plot(X,Y,[stratifying_variable]) [view plot of biological age vs chronological age]
.view [analyze data frame output]
"""
# ### Open Data
# In[15]:
################## CLASS SUMMARY #######################
#Double check means
#Make a dictionary of the means of each thing, turn into a function
class Summary(object):
def __init__(self, dataframe, age, samp_wtIndex, primarykey):
header_names = list(dataframe)
temp = dataframe.values.tolist()
temp.insert(0, header_names)
self.primarykey = primarykey
self.data = temp
self.view = dataframe
self.age = age
self.samp_wt = samp_wtIndex
def mean(self, lowerboundage=0, upperboundage=999):
avgdict = {}
floatdum = 3.0
# cols 0 - 16
for col in range(len(self.data[0])):
avglist = []
sampwtlist = []
if col == self.primarykey:
continue
for line in self.data[1:]:
if line[self.age] >= lowerboundage and line[self.age] <= upperboundage and type(line[col]) == type(floatdum):
avglist.append(line[col])
sampwtlist.append(line[self.samp_wt])
avgdict[self.data[0][col]] = np.mean(avglist) #sum([i * j for i,j in zip(avglist, sampwtlist)])/len(avglist)
self.make_pretty(avgdict,"MEANS:")
return avgdict
#returns a pretty row of results
def make_pretty(self,dictionary,titlestring):
print("\n" + titlestring)
keylist = sorted(dictionary.keys())
for key in keylist:
if len(key) < 8 :
print(key + '\t\t' + str(dictionary[key]))
else:
print(key + '\t' + str(dictionary[key]))
def __str__(self):
return "There are {} observations and {} variables in this dataset.".format(len(self.data),len(self.data[0]))
#returns the Pearson Correlation coefficient of each row in the dataset to a variable
#input parameters: column number of you want to compare to. Second one to compare to
#first value can only be one value. If you put a #<0 for y, will be a list of all vals. default is all vals
def corr(self, x=-2, y=-1):
corrdict = {}
repeat = False
#establishes what we'll be correlating to x
if y >= 0:
collist = [y]
elif y < 0:
collist = range(len(self.data[0]))
else:
print("Please enter a valid input")
quit()
for col in collist:
corrlistx = []
corrlisty= []
for line in self.data:
if type(line[x]) == type(1.2):
corrlistx.append(line[x])
elif type(line[x]) != type(1.2):
corrlistx.append('.')
if type(line[col]) == type(1.2):
corrlisty.append(line[col])
else:
corrlisty.append('.')
try:
corrdict[self.data[0][col]] = stats.pearsonr(*self.findmissing(corrlistx,corrlisty))
except:
print("Cannot perfom correlation on", self.data[0][col])
self.make_pretty(corrdict,"CORRELATIONS: (r, p-value)")
return corrdict
#throws away values where at least one value is missing
def findmissing(self,corrlist1,corrlist2):
for i in range(len(corrlist1)):
try:
if corrlist1[i] != type(1.2):
del corrlist1[i]
del corrlist2[i]
except: pass
for i in range(len(corrlist2)):
try:
if corrlist2[i] != type(1.2):
del corrlist1[i]
del corrlist2[i]
except: pass
return (corrlist1, corrlist2)
# In[16]:
################## CLASS METHODS #######################
class Methods(object):
def __init__(self, dataframe, cache_fname, age, genderindex, primarykey, samp_wt, output):
# convert DataFrame to List Format
header_names = list(dataframe)
temp = dataframe.values.tolist()
temp.insert(0, header_names)
self.data = temp
self.age = age
self.genderindex = genderindex
self.primarykey = primarykey
self.samp_wt= samp_wt
self.cache_fname = cache_fname
#print("Looking for data in cache...")
try:
cache_fhnd = open(self.cache_fname,'r')
self.CACHE_DICT = json.loads(cache_fhnd.read())
cache_fhnd.close()
except:
self.CACHE_DICT = {}
self.AGEON = True # age corrector toggle
self.GRAPHON = True # do you want to see linear regression graphs for each variable on age?
self.savepath = output
# determine how groups there are
self.GroupSet = pd.unique(dataframe[header_names[self.genderindex]].values).astype('int')
if len(self.GroupSet) > 2:
raise ValueError('There are more than 2 groups in this dataset')
###############################################################################################
########################## Klemera and Doubal Method ##########################################
###############################################################################################
#Note on CACHE_DICT vs cachedict: CACHE_DICT is the "global local" variable for the instance. cachedict is input as a parameter if the value is in CACHE_DICT
def KDM(self):
#have this one combine the two datasets, for men and for women
#and append to a list
finaldict = {}
for sex in self.GroupSet:
if sex == 0:
sexname = "Males"
else: sexname = "Females"
if str(sex) in self.CACHE_DICT:
#print("Collecting parameters from cache for %s..." % (sexname))
self.calcLR(sex=sex,cachedict = self.CACHE_DICT[str(sex)]) #finds self.regressiondict and makes self.newdata
finaldict[sex] = self.calcBA(correctiondict = self.correctionterm(self.calcBA()))
else:
#print("Could not find parameters in the cache for %s..." % (sexname))
self.calcLR(sex=sex) #makes self.regressiondict
finaldict[sex] = self.calcBA(correctiondict = self.correctionterm(self.calcBA()))
#print("Merging data one last time...")
#Double check this...
if 'BA' not in self.data[0]:
for row in self.data:
for sexkey in finaldict: #going through each SEQN
for key in finaldict[sexkey]:
if key == row[self.primarykey]: #if you found the right SEQN for that row, append the Corrected Biological Age to the end
row.append(finaldict[sexkey][key])
if 'BA' not in self.data[0]:
self.data[0].append('BA')
if 'BAC' not in self.data[0]:
self.data[0].append('BAC')
#print("DONE!")
path = self.savepath
fopen = open(path,'w+')
#print("Saving Data...")
for row in self.data:
for i in range(len(row)):
row[i] = str(row[i])
fopen.write(",".join(row) + "\n")
# fopen.write(json.dumps(finaldict))
fopen.close()
#print("DONE!")
return self.data
#REMEMBER TO CONSIDER SEX IN THIS...CALCLR CALCULATES FOR ONLY ONE SEX AT A TIME BUT YOU NEED A DICTIONARY THAT ACCOUNTS FOR BOTH
#this uses the regression results to create all the baseline variables for KDM calculations
def correctionterm(self, datatuple, agemax = 24, agemin = 36): # changed months to 2-3 years
m = datatuple[1] #this tells you how many covariates we have
BAdict = datatuple[0] #this was BasicBAdict from the calcBA function
n = len(self.newdata)-1
delcounter = 0
CorrectedBAdict = {}
#Merge BAdict with self.newdata (remember, this is the dataset with only one sex)
#print("Merging data...")
for row in self.newdata:
try:
row.append(BAdict[row[self.primarykey]][0]) #will append to the end of the row the BA value from the dictionary, using the primary key as the identifier
except:
del(row)
delcounter += 1
if delcounter > 0:
print("Warning: %d rows deleted. Check the integrity of the data or check the code." % (delcounter))
#STANDARD DEVIATION CALCULATIONS
#Calculating first term
errcalc = []
#print("Calculating Correction Term...")
for row in self.newdata:
BA = row[-1] #the last value appended to each row
errcalc.append(BA - row[self.age])
errcalc = np.array(errcalc)
#Calculating standard deviation
for row in self.newdata:
rchar = BAdict[row[self.primarykey]][1]
stderr = (np.var(errcalc) - (((1-(rchar**2))/(rchar**2)) * (((agemax - agemin)**2)/(12*m))))
# Extra step: Linearly transform so that SBA maintains same mean but now linearly increases with age, so difference is 5 between CAmax and CAmin
if self.AGEON == True:
agecorrector = 5/(agemax-agemin)
std = np.sqrt(stderr) - 2.5 + (agecorrector * row[self.age]) # adjust based on age
stderr = std ** 2
#print(stderr)
CorrectedBAdict[row[self.primarykey]] = stderr
return CorrectedBAdict
#############
def cov(self, x, y, w):
"""Weighted Covariance"""
return np.sum(w * (x - np.average(x, weights = w)) * (y - np.average(y, weights = w))) / np.sum(w)
def corr(self, x, y, w):
"""Weighted Correlation"""
return self.cov(x, y, w) / np.sqrt(self.cov(x, x, w) * self.cov(y, y, w))
#############
#This takes all the data from the Linear Regression function and calcuates the baseline predicted age and rchar.
#It then passes all the variables to correctionterm method (if you use the .KDM() method), which will aggregate these variables into calculating the corrected BA.
def calcBA(self, correctiondict={}):
#append another value to the end of each row?
BasicBAdict = {}
CorrectedBAdict = {}
if correctiondict == {}:
#print("Calculating initial BA without Correction...")
for row in self.newdata:
numeratorlist = []
denominatorlist = []
rcharlistnumerator = []
rcharlistdenominator = []
#append BA data to each row
for key in self.regressiondict:
#append numerators to a list and denominators to a list, then sum and divide
covar = self.regressiondict[key] #references one column or variable in study
k = covar[0] #slope
s = covar[3] #MSE
q = covar[1] #intercept
r = covar[2] #r-value
colindex = self.heading.index(key) #find the column of the data
try:
numeratorlist.append((row[colindex]-q)*(k/(s**2)))
denominatorlist.append((k/s)**2)
rcharlistnumerator.append(((r**2)/(math.sqrt(1-(r**2)))))
rcharlistdenominator.append((r/(math.sqrt(1-(r**2)))))
except:
print("r:",r, "var:", key)
#print(self.regressiondict)
quit()
#rcalculations
rchar = sum(rcharlistnumerator)/sum(rcharlistdenominator)
#create a dictionary with SEQN as key
####################print((sum(numeratorlist)/sum(denominatorlist), rchar))
BasicBAdict[row[self.primarykey]] = (sum(numeratorlist)/sum(denominatorlist), rchar)
#returns a tuple with dictionary first, m second
return (BasicBAdict,len(self.regressiondict))
else:
#print("Calculating final Age with Corrected Values...")
for row in self.newdata:
numeratorlist = []
denominatorlist = []
#append BA data to each row
for key in self.regressiondict:
#append numerators to a list and denominators to a list, then sum and divide
covar = self.regressiondict[key] #references one column or variable in study
k = covar[0] #slope
s = covar[3] #MSE
q = covar[1] #intercept
r = covar[2] #r-value
colindex = self.heading.index(key) #find the column of the data
numeratorlist.append((row[colindex]-q)*(k/(s**2))+(row[self.age]/correctiondict[row[self.primarykey]]))
denominatorlist.append(((k/s)**2)+(1/correctiondict[row[self.primarykey]]))
#create a dictionary with SEQN as key
CorrectedBAdict[row[self.primarykey]] = sum(numeratorlist)/sum(denominatorlist)
#returns a final dictionary of Corrected BA
return CorrectedBAdict
#remember female = 1, means female
#this does the inital linear regressions: MODEL xx = age
def calcLR(self, sex=0, cachedict = {}):
#creates a new dataset for ONLY females or only males
self.newdata = [line for line in self.data if line[self.genderindex] == "" or line[self.genderindex] == sex]
self.df = pd.DataFrame(self.newdata[1:],columns=self.data[0])
self.heading = list(self.df)
self.regressiondict = {} #saves tuple: (slope,intercept,r_value,std_err)
if sex == 0:
sexname = "Males"
else:
sexname = "Females"
#check if there is already a value in cachedict:
if cachedict == {}:
#print("Calculating regressions for %s..." % (sexname))
# REGRESSION PART #
for idx,col in enumerate(self.heading):
#print(col)
if idx in [self.age, self.primarykey, self.genderindex, self.samp_wt]:
continue
regX = np.array(self.df[list(self.df)[self.age]]).reshape(-1, 1) #age
regY = np.array(self.df[[col]]) #other var
regr = linear_model.LinearRegression()
try:
# Train the model using the training sets
weight = np.array(self.get_column(self.samp_wt)).reshape(len(self.get_column(self.samp_wt)),1)
regr.fit(regX,regY,sample_weight=self.get_column(self.samp_wt))
#print regr.get_params(deep=False)
#The coefficients
#print 'Coefficients: \n', regr.coef_
#print 'Intercept: \n', regr.intercept_
# The mean squared error
#print "Mean squared error: %.2f" % mean((regr.predict(regX) - regY) ** 2) #MSE
# Explained variance score: 1 is perfect prediction
#print 'Variance score: %.2f' % (regr.score(regX, regY)) #variance
#need slope, intercept, r-value
# Plot outputs
if self.GRAPHON == True:
plt.scatter(regX, regY, color='black')
plt.plot(regX, regr.predict(regX), color='blue', linewidth=3)
plt.xticks(())
plt.yticks(())
plt.title('%s vs Age' % (col))
plt.xlabel('age')
plt.ylabel(col)
plt.show()
#do linear regressions analysis
slope = regr.coef_[0][0]
intercept = regr.intercept_[0]
# weighted vs unweighted corr seems to make no difference
r_value = self.corr(regX, regY, weight) #stats.pearsonr(regX,regY)[0][0]
std_err = math.sqrt(mean((regr.predict(regX) - regY) ** 2))
#print(slope, intercept, r_value, std_err)
except:
print("Cannot do LINEAR REGRESSION analysis for %s" % (col))
slope = 0
intercept = 0
r_value = 0
std_err = 0
#CHECK THAT ONLY PROPER VALUES ARE ADDED
if slope and intercept and r_value and std_err != 0:
#add to dictionaries
self.regressiondict[col] = (slope, intercept, r_value, std_err)
#add to cache
cache_fhnd = open(self.cache_fname,'w')
self.CACHE_DICT[str(sex)] = self.regressiondict
cache_fhnd.write(json.dumps(self.CACHE_DICT))
cache_fhnd.close()
#if there is, make it into self.regressiondict
else:
self.regressiondict = cachedict
#self.make_pretty(self.regressiondict,"REGRESSION VALUES (slope, intercept, r_value, std_err)")
return self.regressiondict
### Utility Functions ###
#returns the mean of each row in the dataset
def make_pretty(self,dictionary,titlestring):
print("\n" + titlestring)
keylist = sorted(dictionary.keys())
for key in keylist:
if len(key) < 8 :
print(key + '\t\t' + str(dictionary[key]))
else:
print(key + '\t' + str(dictionary[key]))
#extracts one column from the dataset
def get_column(self,col):
column = [line[col] for line in self.newdata]
return column[1:]
#throws away values where at least one value is missing
def cleandata(self,col1,col2):
for i in range(len(col1)):
try:
if col1[i] != type(1.2):
del col1[i]
del col2[i]
except: pass
for i in range(len(col2)):
try:
if col2[i] != type(1.2):
del col1[i]
del col2[i]
except: pass
if len(col1) == len(col2):
# print "Dimensions match for both columns"
return (col1, col2)
else:
print("Cannot match data by length, check data dimensions.")
return (len(col1), len(col2))
# In[17]:
class Visualize(object):
def __init__(self,data):
self.data = data
def view(self):
return self.data
def plot(self, inp1, inp2, inp3): # (y, x, color by)
new_df = pd.DataFrame()
new_df[inp1] = pd.to_numeric(self.data[inp1])
new_df[inp2] = pd.to_numeric(self.data[inp2])
new_df[inp3] = self.data[inp3]
# plot
fig, ax = plt.subplots(figsize=(10,10))
for group in pd.unique(new_df[inp3]):
plt.scatter(new_df[new_df[inp3] == group][inp1], new_df[new_df[inp3] == group][inp2])
ax.legend(pd.unique(new_df[inp3]))
plt.ylabel(inp1)
plt.xlabel(inp2)
plt.show()
# ### Run Function
# In[18]:
def KDM_model(trainset, testset, cachename, output_filename, age_index, genderindex, primaryindex, samp_wt_index):
# Build model
output_filename_train = output_filename + '_train.csv'
model = Methods(trainset, cachename, age = age_index, genderindex = genderindex, primarykey = primaryindex, samp_wt = samp_wt_index, output = output_filename_train)
model.KDM() # train model
# test using trained model
output_filename_test = output_filename + '_test.csv'
test_model = Methods(testset, cachename, age = age_index, genderindex = genderindex, primarykey = primaryindex, samp_wt = samp_wt_index, output = output_filename_test)
results = test_model.KDM()
results = pd.DataFrame(results[1:], columns = results[0])
# calculate stats
stats = return_stats(results['BAC'].astype('float64'), results[list(results)[age_index]].astype('float64'))
return (stats)
# ### Return Stats
# In[19]:
#Return statistics for a correlation
def return_stats(x,y, dec=3):
slope, intercept, r_value, p_value, std_err = sp.stats.linregress(x,y)
Mr = abs(x-y).mean()
Medr = np.median(abs(x-y))
Mpr = np.median(100*abs((x-y)/x))
rs = r_value**2
print(r_value)
return(Mr, Medr, Mpr, p_value, rs)
# In[20]:
print('You are running BA_NB_Final at', datetime.datetime.now())
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