ループの結果をsklearnsに渡す方法tテストメソッド

Question

機械学習アルゴリズムのリストを反復処理するループがあり、機械学習モデルの結果に対してTテストを実行したいと思います。上記

import pandas 
import numpy 
from pandas.tools.plotting import scatter_matrix 
import matplotlib.pyplot as plt 
from sklearn import preprocessing 
from sklearn import cross_validation 
from sklearn.metrics import classification_report 
from sklearn.metrics import confusion_matrix 
from sklearn.metrics import accuracy_score, precision_recall_curve, average_precision_score 
from sklearn.linear_model import LogisticRegression 
from sklearn.ensemble import RandomForestClassifier 
from sklearn.tree import DecisionTreeClassifier 
from sklearn.neighbors import KNeighborsClassifier 
from sklearn.discriminant_analysis import LinearDiscriminantAnalysis 
from sklearn.naive_bayes import GaussianNB 
from scipy.stats import ttest_ind, ttest_ind_from_stats 
from scipy.special import stdtr 
from sklearn.svm import SVC 
from collections import defaultdict 
from sklearn.preprocessing import LabelEncoder 
import warnings 

#Load KDD dataset 
data_set = "NSL-KDD/KDDTest+.arff" 

print "Loading: ", data_set 

with warnings.catch_warnings(): 
    warnings.simplefilter("ignore") 

names = ['duration','protocol_type','service','flag','src_bytes','dst_bytes','land','wrong_fragment','urgent','hot','num_failed_logins','logged_in','num_compromised','su_attempted','num_root','num_file_creations', 
'num_shells','num_access_files','num_outbound_cmds','is_host_login','is_guest_login','count','srv_count','serror_rate','srv_serror_rate','rerror_rate','srv_rerror_rate','same_srv_rate','diff_srv_rate','srv_diff_host_rate', 
'dst_host_count','dst_host_srv_count','dst_host_same_srv_rate','dst_host_diff_srv_rate','dst_host_same_src_port_rate','dst_host_srv_diff_host_rate','dst_host_serror_rate','dst_host_srv_serror_rate','dst_host_rerror_rate','class', 
'dst_host_srv_rerror_rate'] 

dataset = pandas.read_csv(data_set, names=names) 

for column in dataset.columns: 
    if dataset[column].dtype == type(object): 
     le = LabelEncoder() 
     dataset[column] = le.fit_transform(dataset[column]) 

# split data into X and y -- these values must be changed to 8 for the diabites dataset and 4 for the iris dataset. 
array = dataset.values 
X = array[:,0:40] 
Y = array[:,40] 

# Split-out validation dataset 
validation_size = 0.20 
seed = 7 
X_train, X_validation, Y_train, Y_validation = cross_validation.train_test_split(X, Y, test_size=validation_size, random_state=seed) 

# Test options and evaluation metric 
num_folds = 7 
num_instances = len(X_train) 
seed = 7 
scoring = 'accuracy' 

# Algorithms 
models = [] 
models.append(('KNN', KNeighborsClassifier())) 
models.append(('LDA', LinearDiscriminantAnalysis())) 
models.append(('CART', DecisionTreeClassifier())) 
models.append(('NB', GaussianNB())) 
models.append(('Random Forest', RandomForestClassifier())) 
models.append(('LR', LogisticRegression())) 

# **evaluate each model in turn and perform T Test here** 
results = [] 
names = [] 
for name, model in models: 
     kfold = cross_validation.KFold(n=num_instances, n_folds=num_folds, random_state=seed) 
     cv_results = cross_validation.cross_val_score(model, X_train, Y_train, cv=kfold, scoring=scoring) 
     results.append(cv_results) 
     names.append(name) 
     msg = "%s: %f (%f)" % (name, cv_results.mean()*100, cv_results.std()*100)#multiplying by 100 to show percentage 
     print(msg) 
     print cv_results*100 
     #t, p = ttest_ind(cv_results, cv_results, equal_var=False) 
     #print("T_Test: T Value = %g P Value = %g" % (t, p)) 

そうに見える結果を作成するアルゴリズムのmodelsリスト、の繰り返し処理することをループのための私です：

KNN: 90.027688 (0.269979) [ 90.0464756 90.12393493 89.5817196 90.08136381 90.35257652 89.69391709 90.31383185] LDA: 83.646949 (0.187389) [ 83.46243222 83.50116189 83.61735089 84.07593956 83.64974816 83.57225881 83.64974816] CART: 92.440512 (0.438941) [ 92.79628195 92.52517428 91.94422928 93.02595893 92.59976753 91.66989539 92.52227819] NB: 29.662505 (1.702733) [ 28.11773819 30.51897754 28.89233153 28.51607904 33.39790779 29.67841922 28.51607904] Random Forest: 92.318760 (0.355462) [ 92.52517428 92.64136328 91.78931061 92.32855482 92.71600155 91.78612941 92.44478884]

は、私の質問は、私はにcv_resultsを渡すことができますどのように、ですtテスト値a, b？ cv_resutlsで直接渡そうとしたので、各繰り返しに対して同じresutlsが生成されます。

Answer 1

ループごとに2つの同一の配列をテストしたため、同じt統計量が得られました。つまり、aとbは両方ともcv_resultsです。 モデル間でt検定を行う場合は、すべてのモデルのcv_resultsをリストに保存してから、このリストをループしてpairwise t検定を計算することができます。

例えば：

for i in range(len(results) - 1): 
    for j in range(i, len(results)): 
     t, p = ttest_ind(results[i], results[j], equal_var=False) 
     print("T_Test between {} & {}: T Value = {}, P Value = {}".format(names[i], names[j], t, p))