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Codebook

Introduction

The script run_analysis.R

  • downloads the data from UCI Machine Learning Repository
  • merges the training and test sets to create one data set
  • extracts only the measurements (features) on the mean and standard deviation for each measurement
  • replaces activity values in the dataset with descriptive activity names
  • appropriately labels the columns with descriptive names
  • creates a second, independent tidy dataset with an average of each variable for each each activity and each subject.

The script is structured in functions such that each function performs one of the steps described above. The script assumes that plyr library is already installed.

##Feature selection

The features selected came from the transformation of the dataset:"Human Activity Recognition Using Smartphones Dataset Version 1.0". This dataset it's composed by experimental data carried out with a group of 30 volunteers within an age bracket of 19-48 years. Each person performed six activities (WALKING, WALKING_UPSTAIRS, WALKING_DOWNSTAIRS, SITTING, STANDING, LAYING) wearing a Samsung Galaxy S II on the waist. Using its embedded accelerometer and gyroscope, 3-axial linear acceleration and 3-axial angular velocity at a constant rate of 50Hz data were captured, of accelerometer and gyroscope 3-axial raw signals tAcc-XYZ and tGyro-XYZ.

These signals were used to estimate variables of the feature vector for each pattern:
'-XYZ' is used to denote 3-axial signals in the X, Y and Z directions.

  • tBodyAcc-XYZ
  • tGravityAcc-XYZ
  • tBodyAccJerk-XYZ
  • tBodyGyro-XYZ
  • tBodyGyroJerk-XYZ
  • tBodyAccMag
  • tGravityAccMag
  • tBodyAccJerkMag
  • tBodyGyroMag
  • tBodyGyroJerkMag
  • fBodyAcc-XYZ
  • fBodyAccJerk-XYZ
  • fBodyGyro-XYZ
  • fBodyAccMag
  • fBodyAccJerkMag
  • fBodyGyroMag
  • fBodyGyroJerkMag

For each feature was been computed mean and standard deviation. These measures are denoted adding the insuffix -mean() or -std() in the variable name.

Getting and cleaning data

In the preliminary phase the script check if the data is already available in the data directory, otherwise download the data from UCI repository.

As first step the script merges the training and test sets. Resulting data are 10,299 instances where each instance contains 563 features (subject_id, activity_id, 561 measurements).

As second step mean and standard deviation measurements are extracted. The subset is composed by 68 features (subject_id, activity_id, 33 mean and 33 standard deviations features).

Next, the activity labels are replaced with descriptive activity names, defined in activity_labels.txt in the original data folder.

The final step creates a tidy data set with the average of each variable for each activity and each subject. 10299 instances are split into 180 groups (30 subjects and 6 activities) and 66 mean and standard deviation features are averaged for each group. The resulting data table has 180 rows and 68 columns (activity_name, subject_id, 66 feature).

This new dataset is stored in the file tidyDataset.txt in data folder.

###List of variables in the data frame

str(tidyDF)
## 'data.frame':    180 obs. of  68 variables:
##  $ activity_name              : Factor w/ 6 levels "LAYING","SITTING",..: 1 1 1 1 1 1 1 1 1 1 ...
##  $ subject_id                 : num  1 2 3 4 5 6 7 8 9 10 ...
##  $ tBodyAcc-mean()-X          : num  0.222 0.281 0.276 0.264 0.278 ...
##  $ tBodyAcc-mean()-Y          : num  -0.0405 -0.0182 -0.019 -0.015 -0.0183 ...
##  $ tBodyAcc-mean()-Z          : num  -0.113 -0.107 -0.101 -0.111 -0.108 ...
##  $ tGravityAcc-mean()-X       : num  -0.249 -0.51 -0.242 -0.421 -0.483 ...
##  $ tGravityAcc-mean()-Y       : num  0.706 0.753 0.837 0.915 0.955 ...
##  $ tGravityAcc-mean()-Z       : num  0.446 0.647 0.489 0.342 0.264 ...
##  $ tBodyAccJerk-mean()-X      : num  0.0811 0.0826 0.077 0.0934 0.0848 ...
##  $ tBodyAccJerk-mean()-Y      : num  0.00384 0.01225 0.0138 0.00693 0.00747 ...
##  $ tBodyAccJerk-mean()-Z      : num  0.01083 -0.0018 -0.00436 -0.00641 -0.00304 ...
##  $ tBodyGyro-mean()-X         : num  -0.01655 -0.01848 -0.02082 -0.00923 -0.02189 ...
##  $ tBodyGyro-mean()-Y         : num  -0.0645 -0.1118 -0.0719 -0.093 -0.0799 ...
##  $ tBodyGyro-mean()-Z         : num  0.149 0.145 0.138 0.17 0.16 ...
##  $ tBodyGyroJerk-mean()-X     : num  -0.107 -0.102 -0.1 -0.105 -0.102 ...
##  $ tBodyGyroJerk-mean()-Y     : num  -0.0415 -0.0359 -0.039 -0.0381 -0.0404 ...
##  $ tBodyGyroJerk-mean()-Z     : num  -0.0741 -0.0702 -0.0687 -0.0712 -0.0708 ...
##  $ tBodyAccMag-mean()         : num  -0.842 -0.977 -0.973 -0.955 -0.967 ...
##  $ tGravityAccMag-mean()      : num  -0.842 -0.977 -0.973 -0.955 -0.967 ...
##  $ tBodyAccJerkMag-mean()     : num  -0.954 -0.988 -0.979 -0.97 -0.98 ...
##  $ tBodyGyroMag-mean()        : num  -0.875 -0.95 -0.952 -0.93 -0.947 ...
##  $ tBodyGyroJerkMag-mean()    : num  -0.963 -0.992 -0.987 -0.985 -0.986 ...
##  $ fBodyAcc-mean()-X          : num  -0.939 -0.977 -0.981 -0.959 -0.969 ...
##  $ fBodyAcc-mean()-Y          : num  -0.867 -0.98 -0.961 -0.939 -0.965 ...
##  $ fBodyAcc-mean()-Z          : num  -0.883 -0.984 -0.968 -0.968 -0.977 ...
##  $ fBodyAccJerk-mean()-X      : num  -0.957 -0.986 -0.981 -0.979 -0.983 ...
##  $ fBodyAccJerk-mean()-Y      : num  -0.922 -0.983 -0.969 -0.944 -0.965 ...
##  $ fBodyAccJerk-mean()-Z      : num  -0.948 -0.986 -0.979 -0.975 -0.983 ...
##  $ fBodyGyro-mean()-X         : num  -0.85 -0.986 -0.97 -0.967 -0.976 ...
##  $ fBodyGyro-mean()-Y         : num  -0.952 -0.983 -0.978 -0.972 -0.978 ...
##  $ fBodyGyro-mean()-Z         : num  -0.909 -0.963 -0.962 -0.961 -0.963 ...
##  $ fBodyAccMag-mean()         : num  -0.862 -0.975 -0.966 -0.939 -0.962 ...
##  $ fBodyBodyAccJerkMag-mean() : num  -0.933 -0.985 -0.976 -0.962 -0.977 ...
##  $ fBodyBodyGyroMag-mean()    : num  -0.862 -0.972 -0.965 -0.962 -0.968 ...
##  $ fBodyBodyGyroJerkMag-mean(): num  -0.942 -0.99 -0.984 -0.984 -0.985 ...
##  $ tBodyAcc-std()-X           : num  -0.928 -0.974 -0.983 -0.954 -0.966 ...
##  $ tBodyAcc-std()-Y           : num  -0.837 -0.98 -0.962 -0.942 -0.969 ...
##  $ tBodyAcc-std()-Z           : num  -0.826 -0.984 -0.964 -0.963 -0.969 ...
##  $ tGravityAcc-std()-X        : num  -0.897 -0.959 -0.983 -0.921 -0.946 ...
##  $ tGravityAcc-std()-Y        : num  -0.908 -0.988 -0.981 -0.97 -0.986 ...
##  $ tGravityAcc-std()-Z        : num  -0.852 -0.984 -0.965 -0.976 -0.977 ...
##  $ tBodyAccJerk-std()-X       : num  -0.958 -0.986 -0.981 -0.978 -0.983 ...
##  $ tBodyAccJerk-std()-Y       : num  -0.924 -0.983 -0.969 -0.942 -0.965 ...
##  $ tBodyAccJerk-std()-Z       : num  -0.955 -0.988 -0.982 -0.979 -0.985 ...
##  $ tBodyGyro-std()-X          : num  -0.874 -0.988 -0.975 -0.973 -0.979 ...
##  $ tBodyGyro-std()-Y          : num  -0.951 -0.982 -0.977 -0.961 -0.977 ...
##  $ tBodyGyro-std()-Z          : num  -0.908 -0.96 -0.964 -0.962 -0.961 ...
##  $ tBodyGyroJerk-std()-X      : num  -0.919 -0.993 -0.98 -0.975 -0.983 ...
##  $ tBodyGyroJerk-std()-Y      : num  -0.968 -0.99 -0.987 -0.987 -0.984 ...
##  $ tBodyGyroJerk-std()-Z      : num  -0.958 -0.988 -0.983 -0.984 -0.99 ...
##  $ tBodyAccMag-std()          : num  -0.795 -0.973 -0.964 -0.931 -0.959 ...
##  $ tGravityAccMag-std()       : num  -0.795 -0.973 -0.964 -0.931 -0.959 ...
##  $ tBodyAccJerkMag-std()      : num  -0.928 -0.986 -0.976 -0.961 -0.977 ...
##  $ tBodyGyroMag-std()         : num  -0.819 -0.961 -0.954 -0.947 -0.958 ...
##  $ tBodyGyroJerkMag-std()     : num  -0.936 -0.99 -0.983 -0.983 -0.984 ...
##  $ fBodyAcc-std()-X           : num  -0.924 -0.973 -0.984 -0.952 -0.965 ...
##  $ fBodyAcc-std()-Y           : num  -0.834 -0.981 -0.964 -0.946 -0.973 ...
##  $ fBodyAcc-std()-Z           : num  -0.813 -0.985 -0.963 -0.962 -0.966 ...
##  $ fBodyAccJerk-std()-X       : num  -0.964 -0.987 -0.983 -0.98 -0.986 ...
##  $ fBodyAccJerk-std()-Y       : num  -0.932 -0.985 -0.971 -0.944 -0.966 ...
##  $ fBodyAccJerk-std()-Z       : num  -0.961 -0.989 -0.984 -0.98 -0.986 ...
##  $ fBodyGyro-std()-X          : num  -0.882 -0.989 -0.976 -0.975 -0.981 ...
##  $ fBodyGyro-std()-Y          : num  -0.951 -0.982 -0.977 -0.956 -0.977 ...
##  $ fBodyGyro-std()-Z          : num  -0.917 -0.963 -0.967 -0.966 -0.963 ...
##  $ fBodyAccMag-std()          : num  -0.798 -0.975 -0.968 -0.937 -0.963 ...
##  $ fBodyBodyAccJerkMag-std()  : num  -0.922 -0.985 -0.975 -0.958 -0.976 ...
##  $ fBodyBodyGyroMag-std()     : num  -0.824 -0.961 -0.955 -0.947 -0.959 ...
##  $ fBodyBodyGyroJerkMag-std() : num  -0.933 -0.989 -0.983 -0.983 -0.983 ...

###Summary of variables

summary(tidyDF)
##            activity_name   subject_id   tBodyAcc-mean()-X tBodyAcc-mean()-Y   tBodyAcc-mean()-Z  tGravityAcc-mean()-X tGravityAcc-mean()-Y
##  LAYING            :30    Min.   : 1.0   Min.   :0.2216    Min.   :-0.040514   Min.   :-0.15251   Min.   :-0.6800      Min.   :-0.47989    
##  SITTING           :30    1st Qu.: 8.0   1st Qu.:0.2712    1st Qu.:-0.020022   1st Qu.:-0.11207   1st Qu.: 0.8376      1st Qu.:-0.23319    
##  STANDING          :30    Median :15.5   Median :0.2770    Median :-0.017262   Median :-0.10819   Median : 0.9208      Median :-0.12782    
##  WALKING           :30    Mean   :15.5   Mean   :0.2743    Mean   :-0.017876   Mean   :-0.10916   Mean   : 0.6975      Mean   :-0.01621    
##  WALKING_DOWNSTAIRS:30    3rd Qu.:23.0   3rd Qu.:0.2800    3rd Qu.:-0.014936   3rd Qu.:-0.10443   3rd Qu.: 0.9425      3rd Qu.: 0.08773    
##  WALKING_UPSTAIRS  :30    Max.   :30.0   Max.   :0.3015    Max.   :-0.001308   Max.   :-0.07538   Max.   : 0.9745      Max.   : 0.95659    
##  tGravityAcc-mean()-Z tBodyAccJerk-mean()-X tBodyAccJerk-mean()-Y tBodyAccJerk-mean()-Z tBodyGyro-mean()-X tBodyGyro-mean()-Y tBodyGyro-mean()-Z
##  Min.   :-0.49509     Min.   :0.04269       Min.   :-0.0386872    Min.   :-0.067458     Min.   :-0.20578   Min.   :-0.20421   Min.   :-0.07245  
## 1st Qu.:-0.11726     1st Qu.:0.07396       1st Qu.: 0.0004664    1st Qu.:-0.010601     1st Qu.:-0.04712   1st Qu.:-0.08955   1st Qu.: 0.07475  
##  Median : 0.02384     Median :0.07640       Median : 0.0094698    Median :-0.003861     Median :-0.02871   Median :-0.07318   Median : 0.08512  
## Mean   : 0.07413     Mean   :0.07947       Mean   : 0.0075652    Mean   :-0.004953     Mean   :-0.03244   Mean   :-0.07426   Mean   : 0.08744  
##  3rd Qu.: 0.14946     3rd Qu.:0.08330       3rd Qu.: 0.0134008    3rd Qu.: 0.001958     3rd Qu.:-0.01676   3rd Qu.:-0.06113   3rd Qu.: 0.10177  
##  Max.   : 0.95787     Max.   :0.13019       Max.   : 0.0568186    Max.   : 0.038053     Max.   : 0.19270   Max.   : 0.02747   Max.   : 0.17910  
##  tBodyGyroJerk-mean()-X tBodyGyroJerk-mean()-Y tBodyGyroJerk-mean()-Z tBodyAccMag-mean() tGravityAccMag-mean() tBodyAccJerkMag-mean()
##  Min.   :-0.15721       Min.   :-0.07681       Min.   :-0.092500      Min.   :-0.9865    Min.   :-0.9865       Min.   :-0.9928       
##  1st Qu.:-0.10322       1st Qu.:-0.04552       1st Qu.:-0.061725      1st Qu.:-0.9573    1st Qu.:-0.9573       1st Qu.:-0.9807       
##  Median :-0.09868       Median :-0.04112       Median :-0.053430      Median :-0.4829    Median :-0.4829       Median :-0.8168       
##  Mean   :-0.09606       Mean   :-0.04269       Mean   :-0.054802      Mean   :-0.4973    Mean   :-0.4973       Mean   :-0.6079       
##  3rd Qu.:-0.09110       3rd Qu.:-0.03842       3rd Qu.:-0.048985      3rd Qu.:-0.0919    3rd Qu.:-0.0919       3rd Qu.:-0.2456       
##  Max.   :-0.02209       Max.   :-0.01320       Max.   :-0.006941      Max.   : 0.6446    Max.   : 0.6446       Max.   : 0.4345       
##  tBodyGyroMag-mean() tBodyGyroJerkMag-mean() fBodyAcc-mean()-X fBodyAcc-mean()-Y  fBodyAcc-mean()-Z fBodyAccJerk-mean()-X fBodyAccJerk-mean()-Y
##  Min.   :-0.9807     Min.   :-0.99732        Min.   :-0.9952   Min.   :-0.98903   Min.   :-0.9895   Min.   :-0.9946       Min.   :-0.9894      
##  1st Qu.:-0.9461     1st Qu.:-0.98515        1st Qu.:-0.9787   1st Qu.:-0.95361   1st Qu.:-0.9619   1st Qu.:-0.9828       1st Qu.:-0.9725      
##  Median :-0.6551     Median :-0.86479        Median :-0.7691   Median :-0.59498   Median :-0.7236   Median :-0.8126       Median :-0.7817      
##  Mean   :-0.5652     Mean   :-0.73637        Mean   :-0.5758   Mean   :-0.48873   Mean   :-0.6297   Mean   :-0.6139       Mean   :-0.5882      
##  3rd Qu.:-0.2159     3rd Qu.:-0.51186        3rd Qu.:-0.2174   3rd Qu.:-0.06341   3rd Qu.:-0.3183   3rd Qu.:-0.2820       3rd Qu.:-0.1963      
##  Max.   : 0.4180     Max.   : 0.08758        Max.   : 0.5370   Max.   : 0.52419   Max.   : 0.2807   Max.   : 0.4743       Max.   : 0.2767      
##  fBodyAccJerk-mean()-Z fBodyGyro-mean()-X fBodyGyro-mean()-Y fBodyGyro-mean()-Z fBodyAccMag-mean() fBodyBodyAccJerkMag-mean() fBodyBodyGyroMag-mean()
##  Min.   :-0.9920       Min.   :-0.9931    Min.   :-0.9940    Min.   :-0.9860    Min.   :-0.9868    Min.   :-0.9940            Min.   :-0.9865        
##  1st Qu.:-0.9796       1st Qu.:-0.9697    1st Qu.:-0.9700    1st Qu.:-0.9624    1st Qu.:-0.9560    1st Qu.:-0.9770            1st Qu.:-0.9616        
##  Median :-0.8707       Median :-0.7300    Median :-0.8141    Median :-0.7909    Median :-0.6703    Median :-0.7940            Median :-0.7657        
##  Mean   :-0.7144       Mean   :-0.6367    Mean   :-0.6767    Mean   :-0.6044    Mean   :-0.5365    Mean   :-0.5756            Mean   :-0.6671        
##  3rd Qu.:-0.4697       3rd Qu.:-0.3387    3rd Qu.:-0.4458    3rd Qu.:-0.2635    3rd Qu.:-0.1622    3rd Qu.:-0.1872            3rd Qu.:-0.4087        
##  Max.   : 0.1578       Max.   : 0.4750    Max.   : 0.3288    Max.   : 0.4924    Max.   : 0.5866    Max.   : 0.5384            Max.   : 0.2040        
##  fBodyBodyGyroJerkMag-mean() tBodyAcc-std()-X  tBodyAcc-std()-Y   tBodyAcc-std()-Z  tGravityAcc-std()-X tGravityAcc-std()-Y tGravityAcc-std()-Z
##  Min.   :-0.9976             Min.   :-0.9961   Min.   :-0.99024   Min.   :-0.9877   Min.   :-0.9968     Min.   :-0.9942     Min.   :-0.9910    
##  1st Qu.:-0.9813             1st Qu.:-0.9799   1st Qu.:-0.94205   1st Qu.:-0.9498   1st Qu.:-0.9825     1st Qu.:-0.9711     1st Qu.:-0.9605    
##  Median :-0.8779             Median :-0.7526   Median :-0.50897   Median :-0.6518   Median :-0.9695     Median :-0.9590     Median :-0.9450    
##  Mean   :-0.7564             Mean   :-0.5577   Mean   :-0.46046   Mean   :-0.5756   Mean   :-0.9638     Mean   :-0.9524     Mean   :-0.9364    
##  3rd Qu.:-0.5831             3rd Qu.:-0.1984   3rd Qu.:-0.03077   3rd Qu.:-0.2306   3rd Qu.:-0.9509     3rd Qu.:-0.9370     3rd Qu.:-0.9180    
##  Max.   : 0.1466             Max.   : 0.6269   Max.   : 0.61694   Max.   : 0.6090   Max.   :-0.8296     Max.   :-0.6436     Max.   :-0.6102    
##  tBodyAccJerk-std()-X tBodyAccJerk-std()-Y tBodyAccJerk-std()-Z tBodyGyro-std()-X tBodyGyro-std()-Y tBodyGyro-std()-Z tBodyGyroJerk-std()-X
##  Min.   :-0.9946      Min.   :-0.9895      Min.   :-0.99329     Min.   :-0.9943   Min.   :-0.9942   Min.   :-0.9855   Min.   :-0.9965      
##  1st Qu.:-0.9832      1st Qu.:-0.9724      1st Qu.:-0.98266     1st Qu.:-0.9735   1st Qu.:-0.9629   1st Qu.:-0.9609   1st Qu.:-0.9800      
##  Median :-0.8104      Median :-0.7756      Median :-0.88366     Median :-0.7890   Median :-0.8017   Median :-0.8010   Median :-0.8396      
##  Mean   :-0.5949      Mean   :-0.5654      Mean   :-0.73596     Mean   :-0.6916   Mean   :-0.6533   Mean   :-0.6164   Mean   :-0.7036      
##  3rd Qu.:-0.2233      3rd Qu.:-0.1483      3rd Qu.:-0.51212     3rd Qu.:-0.4414   3rd Qu.:-0.4196   3rd Qu.:-0.3106   3rd Qu.:-0.4629      
##  Max.   : 0.5443      Max.   : 0.3553      Max.   : 0.03102     Max.   : 0.2677   Max.   : 0.4765   Max.   : 0.5649   Max.   : 0.1791      
##  tBodyGyroJerk-std()-Y tBodyGyroJerk-std()-Z tBodyAccMag-std() tGravityAccMag-std() tBodyAccJerkMag-std() tBodyGyroMag-std() tBodyGyroJerkMag-std()
##  Min.   :-0.9971       Min.   :-0.9954       Min.   :-0.9865   Min.   :-0.9865      Min.   :-0.9946       Min.   :-0.9814    Min.   :-0.9977       
##  1st Qu.:-0.9832       1st Qu.:-0.9848       1st Qu.:-0.9430   1st Qu.:-0.9430      1st Qu.:-0.9765       1st Qu.:-0.9476    1st Qu.:-0.9805       
##  Median :-0.8942       Median :-0.8610       Median :-0.6074   Median :-0.6074      Median :-0.8014       Median :-0.7420    Median :-0.8809       
##  Mean   :-0.7636       Mean   :-0.7096       Mean   :-0.5439   Mean   :-0.5439      Mean   :-0.5842       Mean   :-0.6304    Mean   :-0.7550       
##  3rd Qu.:-0.5861       3rd Qu.:-0.4741       3rd Qu.:-0.2090   3rd Qu.:-0.2090      3rd Qu.:-0.2173       3rd Qu.:-0.3602    3rd Qu.:-0.5767       
##  Max.   : 0.2959       Max.   : 0.1932       Max.   : 0.4284   Max.   : 0.4284      Max.   : 0.4506       Max.   : 0.3000    Max.   : 0.2502       
## fBodyAcc-std()-X  fBodyAcc-std()-Y   fBodyAcc-std()-Z  fBodyAccJerk-std()-X fBodyAccJerk-std()-Y fBodyAccJerk-std()-Z fBodyGyro-std()-X
##  Min.   :-0.9966   Min.   :-0.99068   Min.   :-0.9872   Min.   :-0.9951      Min.   :-0.9905      Min.   :-0.993108    Min.   :-0.9947  
##  1st Qu.:-0.9820   1st Qu.:-0.94042   1st Qu.:-0.9459   1st Qu.:-0.9847      1st Qu.:-0.9737      1st Qu.:-0.983747    1st Qu.:-0.9750  
##  Median :-0.7470   Median :-0.51338   Median :-0.6441   Median :-0.8254      Median :-0.7852      Median :-0.895121    Median :-0.8086  
##  Mean   :-0.5522   Mean   :-0.48148   Mean   :-0.5824   Mean   :-0.6121      Mean   :-0.5707      Mean   :-0.756489    Mean   :-0.7110  
##  3rd Qu.:-0.1966   3rd Qu.:-0.07913   3rd Qu.:-0.2655   3rd Qu.:-0.2475      3rd Qu.:-0.1685      3rd Qu.:-0.543787    3rd Qu.:-0.4813  
##  Max.   : 0.6585   Max.   : 0.56019   Max.   : 0.6871   Max.   : 0.4768      Max.   : 0.3498      Max.   :-0.006236    Max.   : 0.1966  
##  fBodyGyro-std()-Y fBodyGyro-std()-Z fBodyAccMag-std() fBodyBodyAccJerkMag-std() fBodyBodyGyroMag-std() fBodyBodyGyroJerkMag-std()
##  Min.   :-0.9944   Min.   :-0.9867   Min.   :-0.9876   Min.   :-0.9944           Min.   :-0.9815        Min.   :-0.9976           
##  1st Qu.:-0.9602   1st Qu.:-0.9643   1st Qu.:-0.9452   1st Qu.:-0.9752           1st Qu.:-0.9488        1st Qu.:-0.9802           
##  Median :-0.7964   Median :-0.8224   Median :-0.6513   Median :-0.8126           Median :-0.7727        Median :-0.8941           
##  Mean   :-0.6454   Mean   :-0.6577   Mean   :-0.6210   Mean   :-0.5992           Mean   :-0.6723        Mean   :-0.7715           
##  3rd Qu.:-0.4154   3rd Qu.:-0.3916   3rd Qu.:-0.3654   3rd Qu.:-0.2668           3rd Qu.:-0.4277        3rd Qu.:-0.6081           
##  Max.   : 0.6462   Max.   : 0.5225   Max.   : 0.1787   Max.   : 0.3163           Max.   : 0.2367        Max.   : 0.2878