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1 Goal

2 Exploratory Data Analysis

2.1 Import the data into R with the read.table function

DASH_Score <- read.table("C:/Users/fanzh/Dropbox/Project with Zhaohu at UC (Model confidence bounds for variable selection)/National Health and Nutrition Examination Survey/Copy of Copy of Couch DASH Baseline Data6-13-2019.csv", sep=",", header = TRUE) 

2.2 1A Variable description

We have 69 demographical variables with 1 the subject id variable and 152 treatments or variables of interest, which is considered as NDSR Food subcodes used in DASH score and to calculate total servings of different food groups.

DASH_Score_70=DASH_Score[,1:70]
description= cbind(names(DASH_Score_70),c("subject id", "Month of visit", "Day of visit","Year of visit","age at visit in years", "race 1=white; 2=black 3=hispanic; 4=native american; 5=asian pacific islander; 6=multiracial", "gender 1=males; 2=females",
 "household income 1=<$20,000; 2=20-50; 3=50-80; 4=>$80,000",
 "Systolic blood pressure",
 "diastolic blood pressure",
 "hypertension status 1=pre; 2=stage 1; 3=normal; 4=stage 2",
 "weight in kg",
 "height in meters",
 "height percentile",
 "EPIC calculated BMI",
 "BMI percentile from clinic",
 "Daily Metabolic equivalents",
 "hours of sleep per week",
 "minutes of light activity per week",
 "minutes of moderate activity per week",
 "minutes of hard activity per week",
 "minutes of very hard activity per week",
 "minutes of mod, hard and very hard activity per week",
 "TwoD_TwoD_BDimension",
 "TwoD_TwoD_BDimension_2",
 "TwoD_TwoD_BDimension_3",
 "TwoD_TwoD_60Dimension",
 "TwoD_TwoD_60Dimension_2",
 "TwoD_TwoD_60Dimension_3",
 "TwoD_TwoD_90Dimension",
 "TwoD_TwoD_90Dimension_2",
 "TwoD_TwoD_90Dimension_3",
 "TwoD_TwoD_120Dimension",
 "TwoD_TwoD_120Dimension_2",
 "TwoD_TwoD_120Dimension_3",
 "DOPPLER_PSV_BVelocity",
 "DOPPLER_PSV_BVelocity_2",
 "DOPPLER_PSV_BVelocity_3",
 "DOPPLER_PSV_I_4Velocity",
 "DOPPLER_PSV_I_4Velocity_2",
 "DOPPLER_PSV_I_4Velocity_3",
 "DOPPLER_PSV_I_5Velocity",
 "DOPPLER_PSV_I_5Velocity_2",
 "DOPPLER_PSV_I_5Velocity_3",
 "DOPPLER_PSV_I_6Velocity",
 "DOPPLER_PSV_I_6Velocity_2",
 "DOPPLER_PSV_I_6Velocity_3",
 "DOPPLER_PSV_60Velocity",
 "DOPPLER_PSV_60Velocity_2",
 "DOPPLER_PSV_60Velocity_3",
 "DOPPLER_PSV_90Velocity",
 "DOPPLER_PSV_90Velocity_2",
 "DOPPLER_PSV_90Velocity_3",
 "DOPPLER_PSV_120Velocity",
 "DOPPLER_PSV_120Velocity_2",
 "DOPPLER_PSV_120Velocity_3",
 "energy (kcal/day)",
 "cholesterol (mg/day)",
 "sucrose (grams/day)",
 "total dietay fiber (grams/day)",
 "calcium (mg/day)",
 "magnesium (mg/day)",
 "sodium (mg/day)",
 "potassium (mg/day)",
 "caffeine (mg/day)",
 "percent kcal from fat",
 "percent kcal from carbohydrate",
 "percent kcal from protein",
 "percent kcal from saturated fat",
 "trans fatty acids (g/day)"))

colnames(description)=c("Variable", "Definition")
kable(description)
Variable Definition
Subject subject id
Month Month of visit
Day Day of visit
Year Year of visit
Age age at visit in years
Race race 1=white; 2=black 3=hispanic; 4=native american; 5=asian pacific islander; 6=multiracial
Sex gender 1=males; 2=females
Income household income 1=<$20,000; 2=20-50; 3=50-80; 4=>$80,000
SBP Systolic blood pressure
DBP diastolic blood pressure
HTNST hypertension status 1=pre; 2=stage 1; 3=normal; 4=stage 2
WTKG weight in kg
HTM height in meters
HTPCT height percentile
BMIcal EPIC calculated BMI
BMIPCT BMI percentile from clinic
DMETS Daily Metabolic equivalents
Sleep hours of sleep per week
lightmin minutes of light activity per week
modmin minutes of moderate activity per week
hardmin minutes of hard activity per week
vhardmin minutes of very hard activity per week
actweek minutes of mod, hard and very hard activity per week
X_D_B1 TwoD_TwoD_BDimension
X_D_B2 TwoD_TwoD_BDimension_2
X_D_B3 TwoD_TwoD_BDimension_3
X_D_601 TwoD_TwoD_60Dimension
X_D_602 TwoD_TwoD_60Dimension_2
X_D_603 TwoD_TwoD_60Dimension_3
X_D_901 TwoD_TwoD_90Dimension
X_D_902 TwoD_TwoD_90Dimension_2
X_D_903 TwoD_TwoD_90Dimension_3
X_D_1201 TwoD_TwoD_120Dimension
X_D_1202 TwoD_TwoD_120Dimension_2
X_D_1203 TwoD_TwoD_120Dimension_3
PSV_B_1 DOPPLER_PSV_BVelocity
PSV_B_2 DOPPLER_PSV_BVelocity_2
PSV_B_3 DOPPLER_PSV_BVelocity_3
PSV_I_41 DOPPLER_PSV_I_4Velocity
PSV_I_42 DOPPLER_PSV_I_4Velocity_2
PSV_I_43 DOPPLER_PSV_I_4Velocity_3
PSV_I_51 DOPPLER_PSV_I_5Velocity
PSV_I_52 DOPPLER_PSV_I_5Velocity_2
PSV_I_53 DOPPLER_PSV_I_5Velocity_3
PSV_I_61 DOPPLER_PSV_I_6Velocity
PSV_I_62 DOPPLER_PSV_I_6Velocity_2
PSV_I_63 DOPPLER_PSV_I_6Velocity_3
PSV_601 DOPPLER_PSV_60Velocity
PSV_602 DOPPLER_PSV_60Velocity_2
PSV_603 DOPPLER_PSV_60Velocity_3
PSV_901 DOPPLER_PSV_90Velocity
PSV_902 DOPPLER_PSV_90Velocity_2
PSV_903 DOPPLER_PSV_90Velocity_3
PSV_1201 DOPPLER_PSV_120Velocity
PSV_1202 DOPPLER_PSV_120Velocity_2
PSV_1203 DOPPLER_PSV_120Velocity_3
energy energy (kcal/day)
Chol cholesterol (mg/day)
Sucrose sucrose (grams/day)
Fiber total dietay fiber (grams/day)
CA calcium (mg/day)
Mg magnesium (mg/day)
Na sodium (mg/day)
K potassium (mg/day)
Caffeine caffeine (mg/day)
pfat percent kcal from fat
pcarb percent kcal from carbohydrate
ppro percent kcal from protein
psfat percent kcal from saturated fat
trans trans fatty acids (g/day)

2.3 Basic Inspections

We now know, that this dataset contains 188 subjects and 222 variables. There are several demographical variables, such as age, race, sex and income, etc.

dim(DASH_Score)
## [1] 188 222
names(DASH_Score)
##   [1] "Subject"  "Month"    "Day"      "Year"     "Age"      "Race"    
##   [7] "Sex"      "Income"   "SBP"      "DBP"      "HTNST"    "WTKG"    
##  [13] "HTM"      "HTPCT"    "BMIcal"   "BMIPCT"   "DMETS"    "Sleep"   
##  [19] "lightmin" "modmin"   "hardmin"  "vhardmin" "actweek"  "X_D_B1"  
##  [25] "X_D_B2"   "X_D_B3"   "X_D_601"  "X_D_602"  "X_D_603"  "X_D_901" 
##  [31] "X_D_902"  "X_D_903"  "X_D_1201" "X_D_1202" "X_D_1203" "PSV_B_1" 
##  [37] "PSV_B_2"  "PSV_B_3"  "PSV_I_41" "PSV_I_42" "PSV_I_43" "PSV_I_51"
##  [43] "PSV_I_52" "PSV_I_53" "PSV_I_61" "PSV_I_62" "PSV_I_63" "PSV_601" 
##  [49] "PSV_602"  "PSV_603"  "PSV_901"  "PSV_902"  "PSV_903"  "PSV_1201"
##  [55] "PSV_1202" "PSV_1203" "energy"   "Chol"     "Sucrose"  "Fiber"   
##  [61] "CA"       "Mg"       "Na"       "K"        "Caffeine" "pfat"    
##  [67] "pcarb"    "ppro"     "psfat"    "trans"    "FRU0100"  "FRU0200" 
##  [73] "FRU0300"  "FRU0400"  "FRU0500"  "FRU0700"  "VEG0100"  "VEG0200" 
##  [79] "VEG0300"  "VEG0400"  "VEG0450"  "VEG0700"  "VEG0600"  "VEG0500" 
##  [85] "FMC0100"  "GRW0100"  "GRS0100"  "GRR0100"  "GRW0200"  "GRS0200" 
##  [91] "GRR0200"  "GRW0300"  "GRS0300"  "GRR0300"  "GRW0400"  "GRS0400" 
##  [97] "GRR0400"  "GRW0500"  "GRS0500"  "GRR0500"  "GRW0600"  "GRS0600" 
## [103] "GRR0600"  "GRW0700"  "GRS0700"  "GRR0700"  "GRW0800"  "GRS0800" 
## [109] "GRR0800"  "GRW1000"  "GRS1000"  "GRR1000"  "GRW0900"  "GRS0900" 
## [115] "GRR0900"  "GRW1100"  "GRW1200"  "MRF0100"  "MRL0100"  "MRF0200" 
## [121] "MRL0200"  "MRF0300"  "MRL0300"  "MRF0400"  "MRL0400"  "MCF0200" 
## [127] "MCL0200"  "MRF0500"  "MPF0100"  "MPL0100"  "MPF0200"  "MFF0100" 
## [133] "MFL0100"  "MFF0200"  "MSL0100"  "MSF0100"  "MCF0100"  "MCL0100" 
## [139] "MOF0100"  "FMC0200"  "MOF0300"  "MOF0400"  "MOF0500"  "MOF0600" 
## [145] "MOF0700"  "DMF0100"  "DMR0100"  "DML0100"  "DMF0200"  "DMR0200" 
## [151] "DML0200"  "DML0300"  "DML0400"  "DCF0100"  "DCR0100"  "DCL0100" 
## [157] "DYF0100"  "DYR0100"  "DYL0100"  "DYF0200"  "DYR0200"  "DYL0200" 
## [163] "DOT0100"  "DOT0300"  "DOT0400"  "FCF0100"  "FCR0100"  "FCL0100" 
## [169] "DOT0500"  "DOT0600"  "DOT0700"  "DOT0800"  "FMF0100"  "FMR0100" 
## [175] "FOF0100"  "FSF0100"  "FAF0100"  "FAR0100"  "FDF0100"  "FDR0100" 
## [181] "SWT0400"  "SWT0500"  "SWT0700"  "SWT0800"  "SWT0100"  "SWT0200" 
## [187] "SWT0300"  "BVS0400"  "BVA0400"  "BVU0300"  "BVS0300"  "BVA0300" 
## [193] "BVS0500"  "BVA0500"  "BVU0400"  "BVS0100"  "BVA0100"  "BVU0100" 
## [199] "BVS0200"  "BVA0200"  "BVU0200"  "BVS0600"  "BVA0600"  "BVU0500" 
## [205] "BVS0700"  "BVA0700"  "BVU0600"  "BVO0100"  "BVO0200"  "BVE0100" 
## [211] "BVE0400"  "BVE0300"  "BVE0200"  "MSC0100"  "MSC0200"  "MSC0300" 
## [217] "MSC0400"  "MSC0500"  "MSC0600"  "MSC0700"  "MSC0800"  "MSC0900"
summary(DASH_Score)
##     Subject         Month             Day             Year     
##  Min.   :4100   Min.   : 1.000   Min.   : 1.00   Min.   :  12  
##  1st Qu.:4149   1st Qu.: 4.000   1st Qu.: 8.00   1st Qu.:2009  
##  Median :4200   Median : 7.000   Median :14.00   Median :2010  
##  Mean   :4201   Mean   : 6.952   Mean   :15.28   Mean   :1989  
##  3rd Qu.:4253   3rd Qu.:10.000   3rd Qu.:22.00   3rd Qu.:2011  
##  Max.   :4306   Max.   :12.000   Max.   :31.00   Max.   :2013  
##                 NA's   :1        NA's   :1       NA's   :1     
##       Age            Race            Sex           Income     
##  Min.   :11.0   Min.   :1.000   Min.   :1.00   Min.   :1.000  
##  1st Qu.:13.0   1st Qu.:1.000   1st Qu.:1.00   1st Qu.:2.000  
##  Median :15.0   Median :1.000   Median :1.00   Median :2.000  
##  Mean   :14.7   Mean   :1.484   Mean   :1.34   Mean   :2.427  
##  3rd Qu.:16.0   3rd Qu.:2.000   3rd Qu.:2.00   3rd Qu.:3.000  
##  Max.   :18.0   Max.   :6.000   Max.   :2.00   Max.   :4.000  
##  NA's   :1                                     NA's   :3      
##       SBP             DBP            HTNST            WTKG       
##  Min.   :107.0   Min.   :50.00   Min.   :1.000   Min.   : 36.40  
##  1st Qu.:122.0   1st Qu.:69.00   1st Qu.:1.000   1st Qu.: 72.15  
##  Median :128.0   Median :75.00   Median :1.000   Median : 86.90  
##  Mean   :127.8   Mean   :74.29   Mean   :1.513   Mean   : 90.87  
##  3rd Qu.:133.0   3rd Qu.:81.00   3rd Qu.:2.000   3rd Qu.:110.10  
##  Max.   :157.0   Max.   :95.00   Max.   :4.000   Max.   :185.90  
##  NA's   :1       NA's   :1       NA's   :1       NA's   :1       
##       HTM            HTPCT           BMIcal          BMIPCT      
##  Min.   :1.413   Min.   : 3.00   Min.   :16.58   Min.   : 12.41  
##  1st Qu.:1.635   1st Qu.:50.00   1st Qu.:25.50   1st Qu.: 92.00  
##  Median :1.702   Median :75.00   Median :30.00   Median : 97.20  
##  Mean   :1.695   Mean   :66.52   Mean   :31.48   Mean   : 91.02  
##  3rd Qu.:1.758   3rd Qu.:90.00   3rd Qu.:37.20   3rd Qu.: 99.00  
##  Max.   :1.957   Max.   :99.90   Max.   :83.60   Max.   :100.00  
##  NA's   :1       NA's   :1       NA's   :1       NA's   :1       
##          DMETS         Sleep        lightmin       modmin       hardmin  
##  36.85714286:  3   67.5   :  6          :  4   0      : 23   0      :65  
##             :  2   55.5   :  5   6110   :  4   270    :  7   60     : 9  
##  .          :  2   56     :  5   6240   :  4   30     :  7   20     : 6  
##  32.5       :  2   58     :  5   5850   :  3   60     :  7   15     : 5  
##  33.7       :  2   66.5   :  5   .      :  2   50     :  6   30     : 5  
##  33.9       :  2          :  4   4925   :  2   70     :  6   40     : 5  
##  (Other)    :175   (Other):158   (Other):169   (Other):132   (Other):93  
##     vhardmin      actweek        X_D_B1           X_D_B2      
##  0      :118   0      : 12   Min.   :0.2111   Min.   :0.2114  
##  60     :  7   20     :  5   1st Qu.:0.2869   1st Qu.:0.2885  
##  120    :  5          :  4   Median :0.3229   Median :0.3223  
##         :  4   10     :  4   Mean   :0.3227   Mean   :0.3230  
##  15     :  4   100    :  4   3rd Qu.:0.3582   3rd Qu.:0.3581  
##  40     :  3   360    :  4   Max.   :0.4297   Max.   :0.4244  
##  (Other): 47   (Other):155   NA's   :8        NA's   :8       
##      X_D_B3          X_D_601          X_D_602          X_D_603      
##  Min.   :0.2114   Min.   :0.2178   Min.   :0.2189   Min.   :0.2238  
##  1st Qu.:0.2906   1st Qu.:0.3008   1st Qu.:0.3001   1st Qu.:0.3016  
##  Median :0.3222   Median :0.3374   Median :0.3340   Median :0.3335  
##  Mean   :0.3231   Mean   :0.3348   Mean   :0.3345   Mean   :0.3346  
##  3rd Qu.:0.3586   3rd Qu.:0.3671   3rd Qu.:0.3684   3rd Qu.:0.3686  
##  Max.   :0.4299   Max.   :0.4748   Max.   :0.4745   Max.   :0.4745  
##  NA's   :8        NA's   :11       NA's   :11       NA's   :11      
##     X_D_901          X_D_902          X_D_903          X_D_1201     
##  Min.   :0.2175   Min.   :0.2174   Min.   :0.2114   Min.   :0.2110  
##  1st Qu.:0.2994   1st Qu.:0.2980   1st Qu.:0.2962   1st Qu.:0.2952  
##  Median :0.3328   Median :0.3354   Median :0.3310   Median :0.3280  
##  Mean   :0.3320   Mean   :0.3326   Mean   :0.3320   Mean   :0.3276  
##  3rd Qu.:0.3618   3rd Qu.:0.3635   3rd Qu.:0.3620   3rd Qu.:0.3609  
##  Max.   :0.5635   Max.   :0.5604   Max.   :0.5635   Max.   :0.5600  
##  NA's   :10       NA's   :10       NA's   :10       NA's   :9       
##     X_D_1202         X_D_1203         PSV_B_1          PSV_B_2      
##  Min.   :0.2154   Min.   :0.2111   Min.   : 54.82   Min.   : 54.22  
##  1st Qu.:0.2957   1st Qu.:0.2947   1st Qu.: 89.18   1st Qu.: 89.10  
##  Median :0.3299   Median :0.3299   Median :103.29   Median :102.73  
##  Mean   :0.3278   Mean   :0.3278   Mean   :104.41   Mean   :104.63  
##  3rd Qu.:0.3594   3rd Qu.:0.3602   3rd Qu.:117.54   3rd Qu.:118.46  
##  Max.   :0.5526   Max.   :0.5571   Max.   :173.91   Max.   :173.91  
##  NA's   :9        NA's   :9        NA's   :8        NA's   :8       
##     PSV_B_3          PSV_I_41         PSV_I_42         PSV_I_43     
##  Min.   : 54.82   Min.   : 94.29   Min.   : 92.64   Min.   : 90.98  
##  1st Qu.: 88.87   1st Qu.:134.53   1st Qu.:134.40   1st Qu.:134.72  
##  Median :102.27   Median :157.07   Median :156.08   Median :155.77  
##  Mean   :104.40   Mean   :159.74   Mean   :159.55   Mean   :159.19  
##  3rd Qu.:118.36   3rd Qu.:186.66   3rd Qu.:186.26   3rd Qu.:185.85  
##  Max.   :169.02   Max.   :271.97   Max.   :269.43   Max.   :269.43  
##  NA's   :8        NA's   :10       NA's   :10       NA's   :10      
##     PSV_I_51         PSV_I_52         PSV_I_53         PSV_I_61    
##  Min.   : 95.05   Min.   : 95.05   Min.   : 96.55   Min.   : 94.3  
##  1st Qu.:134.57   1st Qu.:135.30   1st Qu.:133.93   1st Qu.:136.9  
##  Median :160.27   Median :158.34   Median :159.57   Median :161.5  
##  Mean   :160.83   Mean   :160.49   Mean   :160.45   Mean   :162.3  
##  3rd Qu.:187.43   3rd Qu.:187.86   3rd Qu.:187.73   3rd Qu.:187.0  
##  Max.   :266.88   Max.   :264.34   Max.   :266.88   Max.   :269.4  
##  NA's   :10       NA's   :10       NA's   :10       NA's   :10     
##     PSV_I_62         PSV_I_63         PSV_601          PSV_602      
##  Min.   : 93.56   Min.   : 93.56   Min.   : 68.86   Min.   : 67.36  
##  1st Qu.:134.85   1st Qu.:136.43   1st Qu.:111.60   1st Qu.:110.85  
##  Median :160.95   Median :161.99   Median :124.39   Median :123.32  
##  Mean   :161.76   Mean   :162.02   Mean   :127.15   Mean   :126.58  
##  3rd Qu.:186.99   3rd Qu.:186.93   3rd Qu.:143.68   3rd Qu.:141.87  
##  Max.   :269.43   Max.   :269.43   Max.   :198.28   Max.   :200.80  
##  NA's   :10       NA's   :11       NA's   :10       NA's   :10      
##     PSV_603          PSV_901         PSV_902          PSV_903      
##  Min.   : 68.86   Min.   : 75.5   Min.   : 74.47   Min.   : 74.47  
##  1st Qu.:111.44   1st Qu.:106.5   1st Qu.:106.15   1st Qu.:106.41  
##  Median :125.01   Median :119.7   Median :119.39   Median :119.13  
##  Mean   :126.93   Mean   :122.2   Mean   :122.34   Mean   :122.19  
##  3rd Qu.:143.57   3rd Qu.:136.7   3rd Qu.:137.54   3rd Qu.:137.13  
##  Max.   :200.80   Max.   :193.0   Max.   :192.96   Max.   :195.35  
##  NA's   :10       NA's   :10      NA's   :10       NA's   :10      
##     PSV_1201         PSV_1202         PSV_1203          energy      
##  Min.   : 66.19   Min.   : 67.23   Min.   : 67.23   Min.   : 558.3  
##  1st Qu.:101.77   1st Qu.:102.91   1st Qu.:102.53   1st Qu.:1249.6  
##  Median :114.83   Median :114.65   Median :115.78   Median :1642.4  
##  Mean   :117.49   Mean   :117.42   Mean   :117.76   Mean   :1689.8  
##  3rd Qu.:130.58   3rd Qu.:127.83   3rd Qu.:129.54   3rd Qu.:2026.5  
##  Max.   :187.40   Max.   :187.40   Max.   :208.23   Max.   :3675.3  
##  NA's   :9        NA's   :9        NA's   :9                        
##       Chol           Sucrose            Fiber              CA        
##  Min.   : 48.91   Min.   :  3.402   Min.   : 2.765   Min.   : 124.8  
##  1st Qu.:116.07   1st Qu.: 20.533   1st Qu.: 7.970   1st Qu.: 500.4  
##  Median :171.90   Median : 31.052   Median :11.079   Median : 783.3  
##  Mean   :196.12   Mean   : 35.147   Mean   :11.912   Mean   : 850.1  
##  3rd Qu.:239.86   3rd Qu.: 46.410   3rd Qu.:14.756   3rd Qu.:1039.5  
##  Max.   :873.22   Max.   :131.194   Max.   :43.420   Max.   :2885.6  
##                                                                      
##        Mg               Na               K             Caffeine      
##  Min.   : 42.28   Min.   : 900.4   Min.   : 606.8   Min.   :  0.000  
##  1st Qu.:140.59   1st Qu.:2147.8   1st Qu.:1252.0   1st Qu.:  2.299  
##  Median :185.66   Median :2773.3   Median :1756.8   Median : 16.427  
##  Mean   :201.45   Mean   :2870.2   Mean   :1857.7   Mean   : 32.986  
##  3rd Qu.:242.64   3rd Qu.:3514.8   3rd Qu.:2251.3   3rd Qu.: 44.090  
##  Max.   :560.54   Max.   :5876.8   Max.   :4891.1   Max.   :422.941  
##                                                                      
##       pfat           pcarb            ppro            psfat       
##  Min.   :17.12   Min.   :32.44   Min.   : 7.535   Min.   : 4.608  
##  1st Qu.:29.18   1st Qu.:46.36   1st Qu.:13.918   1st Qu.: 9.339  
##  Median :32.80   Median :51.07   Median :16.218   Median :10.860  
##  Mean   :32.62   Mean   :50.86   Mean   :16.493   Mean   :10.941  
##  3rd Qu.:36.21   3rd Qu.:54.94   3rd Qu.:18.802   3rd Qu.:12.610  
##  Max.   :51.37   Max.   :74.48   Max.   :29.204   Max.   :16.541  
##                                                                   
##      trans          FRU0100          FRU0200           FRU0300     
##  Min.   :0.349   Min.   :0.0000   Min.   :0.00000   Min.   :0.000  
##  1st Qu.:1.762   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.000  
##  Median :2.978   Median :0.0000   Median :0.00000   Median :0.000  
##  Mean   :3.230   Mean   :0.3281   Mean   :0.22683   Mean   :0.039  
##  3rd Qu.:4.418   3rd Qu.:0.3499   3rd Qu.:0.06317   3rd Qu.:0.000  
##  Max.   :9.687   Max.   :6.6687   Max.   :4.66667   Max.   :1.333  
##                                                                    
##     FRU0400          FRU0500           FRU0700            VEG0100      
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.000000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.000000   1st Qu.:0.0000  
##  Median :0.2697   Median :0.00000   Median :0.000000   Median :0.0000  
##  Mean   :0.4823   Mean   :0.00342   Mean   :0.001773   Mean   :0.1732  
##  3rd Qu.:0.6667   3rd Qu.:0.00000   3rd Qu.:0.000000   3rd Qu.:0.2232  
##  Max.   :3.6093   Max.   :0.37767   Max.   :0.333333   Max.   :1.5187  
##                                                                        
##     VEG0200           VEG0300           VEG0400          VEG0450        
##  Min.   :0.00000   Min.   :0.00000   Min.   :0.0000   Min.   :0.000000  
##  1st Qu.:0.00000   1st Qu.:0.09958   1st Qu.:0.0000   1st Qu.:0.000000  
##  Median :0.00000   Median :0.26517   Median :0.0000   Median :0.004333  
##  Mean   :0.09393   Mean   :0.34804   Mean   :0.2047   Mean   :0.131197  
##  3rd Qu.:0.10008   3rd Qu.:0.49908   3rd Qu.:0.3066   3rd Qu.:0.168000  
##  Max.   :1.60367   Max.   :1.61600   Max.   :2.0347   Max.   :2.003000  
##                                                                         
##     VEG0700           VEG0600          VEG0500            FMC0100      
##  Min.   :0.00000   Min.   :0.0000   Min.   :0.000000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0.1218   1st Qu.:0.000000   1st Qu.:0.0000  
##  Median :0.00000   Median :0.3355   Median :0.000000   Median :0.0000  
##  Mean   :0.08449   Mean   :0.4731   Mean   :0.003126   Mean   :0.1053  
##  3rd Qu.:0.00000   3rd Qu.:0.7117   3rd Qu.:0.000000   3rd Qu.:0.0000  
##  Max.   :1.33333   Max.   :2.7107   Max.   :0.562667   Max.   :2.4303  
##                                                                        
##     GRW0100           GRS0100             GRR0100           GRW0200      
##  Min.   :0.00000   Min.   :0.0000000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0.0000000   1st Qu.:0.09367   1st Qu.:0.0000  
##  Median :0.00000   Median :0.0000000   Median :0.66300   Median :0.0000  
##  Mean   :0.08423   Mean   :0.0008954   Mean   :1.06120   Mean   :0.2999  
##  3rd Qu.:0.00000   3rd Qu.:0.0000000   3rd Qu.:1.49250   3rd Qu.:0.3780  
##  Max.   :2.29867   Max.   :0.1683333   Max.   :6.86067   Max.   :3.3333  
##                                                                          
##     GRS0200          GRR0200          GRW0300          GRS0300        
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.000000  
##  1st Qu.:0.0000   1st Qu.:0.8874   1st Qu.:0.0000   1st Qu.:0.000000  
##  Median :0.0000   Median :1.5503   Median :0.0000   Median :0.000000  
##  Mean   :0.1814   Mean   :1.7997   Mean   :0.0329   Mean   :0.006906  
##  3rd Qu.:0.0000   3rd Qu.:2.2533   3rd Qu.:0.0000   3rd Qu.:0.000000  
##  Max.   :2.6667   Max.   :7.3883   Max.   :1.3143   Max.   :0.684333  
##                                                                       
##     GRR0300          GRW0400     GRS0400           GRR0400       
##  Min.   :0.0000   Min.   :0   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:0.0000   1st Qu.:0   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :0.0000   Median :0   Median :0.00000   Median :0.00000  
##  Mean   :0.5966   Mean   :0   Mean   :0.00664   Mean   :0.09366  
##  3rd Qu.:1.0236   3rd Qu.:0   3rd Qu.:0.00000   3rd Qu.:0.00000  
##  Max.   :5.7233   Max.   :0   Max.   :0.35267   Max.   :2.94900  
##                                                                  
##     GRW0500           GRS0500     GRR0500          GRW0600       
##  Min.   :0.00000   Min.   :0   Min.   :0.0000   Min.   :0.00000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.00000  
##  Median :0.00000   Median :0   Median :0.3345   Median :0.00000  
##  Mean   :0.03704   Mean   :0   Mean   :0.5507   Mean   :0.08364  
##  3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.9718   3rd Qu.:0.00000  
##  Max.   :1.33333   Max.   :0   Max.   :2.7650   Max.   :3.37067  
##                                                                  
##     GRS0600           GRR0600           GRW0700          GRS0700       
##  Min.   :0.00000   Min.   :0.00000   Min.   :0.0000   Min.   :0.00000  
##  1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.00000  
##  Median :0.00000   Median :0.00000   Median :0.0000   Median :0.00000  
##  Mean   :0.00667   Mean   :0.03059   Mean   :0.2174   Mean   :0.04137  
##  3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:0.00000  
##  Max.   :1.25400   Max.   :2.04600   Max.   :3.0373   Max.   :1.76367  
##                                                                        
##     GRR0700          GRW0800           GRS0800           GRR0800      
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.00000   Median :0.00000   Median :0.1570  
##  Mean   :0.1082   Mean   :0.01257   Mean   :0.03169   Mean   :0.3557  
##  3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.5355  
##  Max.   :1.9987   Max.   :1.21200   Max.   :1.24433   Max.   :3.0597  
##                                                                       
##     GRW1000           GRS1000           GRR1000           GRW0900      
##  Min.   :0.00000   Min.   :0.00000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.00000   Median :0.00000   Median :0.00000   Median :0.0000  
##  Mean   :0.03808   Mean   :0.04253   Mean   :0.01343   Mean   :0.1474  
##  3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.1792  
##  Max.   :1.00000   Max.   :0.92500   Max.   :0.87500   Max.   :1.8333  
##                                                                        
##     GRS0900           GRR0900          GRW1100          GRW1200 
##  Min.   :0.00000   Min.   :0.0000   Min.   :0.0000   Min.   :0  
##  1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0  
##  Median :0.00000   Median :0.0000   Median :0.0000   Median :0  
##  Mean   :0.01451   Mean   :0.1089   Mean   :0.0539   Mean   :0  
##  3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:0.0000   3rd Qu.:0  
##  Max.   :1.65800   Max.   :1.9400   Max.   :2.2737   Max.   :0  
##                                                                 
##     MRF0100          MRL0100          MRF0200     MRL0200     MRF0300 
##  Min.   :0.0000   Min.   :0.0000   Min.   :0   Min.   :0   Min.   :0  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0   1st Qu.:0   1st Qu.:0  
##  Median :0.6697   Median :0.0000   Median :0   Median :0   Median :0  
##  Mean   :0.8407   Mean   :0.1883   Mean   :0   Mean   :0   Mean   :0  
##  3rd Qu.:1.3375   3rd Qu.:0.0000   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0  
##  Max.   :6.3950   Max.   :3.7733   Max.   :0   Max.   :0   Max.   :0  
##                                                                       
##     MRL0300     MRF0400          MRL0400           MCF0200       
##  Min.   :0   Min.   :0.0000   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :0   Median :0.0000   Median :0.00000   Median :0.00000  
##  Mean   :0   Mean   :0.0865   Mean   :0.08518   Mean   :0.05534  
##  3rd Qu.:0   3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0.00000  
##  Max.   :0   Max.   :1.9733   Max.   :2.78700   Max.   :1.41100  
##                                                                  
##     MCL0200           MRF0500     MPF0100          MPL0100      
##  Min.   :0.00000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0.00000   Median :0   Median :0.0000   Median :0.6113  
##  Mean   :0.07033   Mean   :0   Mean   :0.2227   Mean   :0.8912  
##  3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.0000   3rd Qu.:1.3123  
##  Max.   :7.18933   Max.   :0   Max.   :3.3100   Max.   :5.4557  
##                                                                 
##     MPF0200          MFF0100            MFL0100          MFF0200       
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.0000   Min.   :0.00000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.0000   1st Qu.:0.00000  
##  Median :0.0000   Median :0.000000   Median :0.0000   Median :0.00000  
##  Mean   :0.6476   Mean   :0.003128   Mean   :0.1197   Mean   :0.03922  
##  3rd Qu.:0.9407   3rd Qu.:0.000000   3rd Qu.:0.0000   3rd Qu.:0.00000  
##  Max.   :8.4773   Max.   :0.588000   Max.   :5.4320   Max.   :2.23400  
##                                                                        
##     MSL0100           MSF0100     MCF0100          MCL0100      
##  Min.   :0.00000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0.00000   Median :0   Median :0.2410   Median :0.0000  
##  Mean   :0.01398   Mean   :0   Mean   :0.4817   Mean   :0.2631  
##  3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.6727   3rd Qu.:0.3333  
##  Max.   :0.66633   Max.   :0   Max.   :5.0980   Max.   :2.4773  
##                                                                 
##     MOF0100     FMC0200     MOF0300          MOF0400     MOF0500       
##  Min.   :0   Min.   :0   Min.   :0.0000   Min.   :0   Min.   :0.00000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0   1st Qu.:0.00000  
##  Median :0   Median :0   Median :0.0000   Median :0   Median :0.00000  
##  Mean   :0   Mean   :0   Mean   :0.2462   Mean   :0   Mean   :0.03743  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.3333   3rd Qu.:0   3rd Qu.:0.00000  
##  Max.   :0   Max.   :0   Max.   :3.3590   Max.   :0   Max.   :1.35200  
##                                                                        
##     MOF0600          MOF0700           DMF0100           DMR0100      
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.00000   Median :0.00000   Median :0.0210  
##  Mean   :0.2656   Mean   :0.01634   Mean   :0.08661   Mean   :0.2812  
##  3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.3333  
##  Max.   :3.3333   Max.   :2.16033   Max.   :4.45833   Max.   :6.0000  
##                                                                       
##     DML0100          DMF0200            DMR0200           DML0200      
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.000000   Median :0.00000   Median :0.0000  
##  Mean   :0.3491   Mean   :0.007821   Mean   :0.04322   Mean   :0.1657  
##  3rd Qu.:0.3776   3rd Qu.:0.000000   3rd Qu.:0.00000   3rd Qu.:0.3333  
##  Max.   :4.8367   Max.   :0.916667   Max.   :1.33333   Max.   :2.0000  
##                                                                        
##     DML0300            DML0400     DCF0100          DCR0100      
##  Min.   :0.000000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.000000   1st Qu.:0   1st Qu.:0.1441   1st Qu.:0.0000  
##  Median :0.000000   Median :0   Median :0.3225   Median :0.1477  
##  Mean   :0.002699   Mean   :0   Mean   :0.4009   Mean   :0.2543  
##  3rd Qu.:0.000000   3rd Qu.:0   3rd Qu.:0.5417   3rd Qu.:0.3872  
##  Max.   :0.222333   Max.   :0   Max.   :1.7970   Max.   :2.1250  
##                                                                  
##     DCL0100             DYF0100            DYR0100       
##  Min.   :0.0000000   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.0000000   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.0000000   Median :0.000000   Median :0.00000  
##  Mean   :0.0009078   Mean   :0.003527   Mean   :0.03518  
##  3rd Qu.:0.0000000   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :0.0833333   Max.   :0.189667   Max.   :0.69433  
##                                                          
##     DYL0100            DYF0200     DYR0200            DYL0200       
##  Min.   :0.000000   Min.   :0   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.000000   Median :0   Median :0.000000   Median :0.00000  
##  Mean   :0.001773   Mean   :0   Mean   :0.001773   Mean   :0.01982  
##  3rd Qu.:0.000000   3rd Qu.:0   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :0.333333   Max.   :0   Max.   :0.333333   Max.   :0.79600  
##                                                                     
##     DOT0100          DOT0300            DOT0400            FCF0100       
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.0000   Median :0.000000   Median :0.000000   Median :0.00000  
##  Mean   :0.1973   Mean   :0.005824   Mean   :0.002892   Mean   :0.08715  
##  3rd Qu.:0.2620   3rd Qu.:0.000000   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :2.0000   Max.   :0.288667   Max.   :0.407667   Max.   :2.50000  
##                                                                          
##     FCR0100           FCL0100            DOT0500            DOT0600 
##  Min.   :0.00000   Min.   :0.000000   Min.   :0.000000   Min.   :0  
##  1st Qu.:0.00000   1st Qu.:0.000000   1st Qu.:0.000000   1st Qu.:0  
##  Median :0.00000   Median :0.000000   Median :0.000000   Median :0  
##  Mean   :0.02249   Mean   :0.004092   Mean   :0.001773   Mean   :0  
##  3rd Qu.:0.00000   3rd Qu.:0.000000   3rd Qu.:0.000000   3rd Qu.:0  
##  Max.   :1.84467   Max.   :0.310000   Max.   :0.333333   Max.   :0  
##                                                                     
##     DOT0700     DOT0800     FMF0100          FMR0100      
##  Min.   :0   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0   Median :0   Median :0.0000   Median :0.0000  
##  Mean   :0   Mean   :0   Mean   :0.3360   Mean   :0.3530  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.5158   3rd Qu.:0.5962  
##  Max.   :0   Max.   :0   Max.   :2.7000   Max.   :4.0000  
##                                                           
##     FOF0100           FSF0100          FAF0100          FAR0100 
##  Min.   :0.00000   Min.   :0.0000   Min.   :0.0000   Min.   :0  
##  1st Qu.:0.03392   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0  
##  Median :0.50817   Median :0.0000   Median :0.0000   Median :0  
##  Mean   :0.75212   Mean   :0.1729   Mean   :0.2097   Mean   :0  
##  3rd Qu.:1.04575   3rd Qu.:0.0000   3rd Qu.:0.1956   3rd Qu.:0  
##  Max.   :6.59933   Max.   :4.0820   Max.   :4.0370   Max.   :0  
##                                                                 
##     FDF0100          FDR0100           SWT0400           SWT0500      
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.00000   Median :0.05267   Median :0.0430  
##  Mean   :0.2252   Mean   :0.08642   Mean   :0.31012   Mean   :0.2440  
##  3rd Qu.:0.3283   3rd Qu.:0.00000   3rd Qu.:0.21158   3rd Qu.:0.2965  
##  Max.   :1.5297   Max.   :1.72200   Max.   :4.25000   Max.   :3.3690  
##                                                                       
##     SWT0700            SWT0800           SWT0100           SWT0200       
##  Min.   :0.000000   Min.   :0.00000   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :0.000000   Median :0.00000   Median :0.00000   Median :0.00000  
##  Mean   :0.002004   Mean   :0.02067   Mean   :0.05844   Mean   :0.05663  
##  3rd Qu.:0.000000   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.00000  
##  Max.   :0.351000   Max.   :0.83333   Max.   :1.06833   Max.   :1.33533  
##                                                                          
##     SWT0300            BVS0400          BVA0400          BVU0300 
##  Min.   :0.000000   Min.   :0.0000   Min.   :0.0000   Min.   :0  
##  1st Qu.:0.000000   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0  
##  Median :0.000000   Median :0.2852   Median :0.0000   Median :0  
##  Mean   :0.004596   Mean   :0.7245   Mean   :0.2485   Mean   :0  
##  3rd Qu.:0.000000   3rd Qu.:1.0000   3rd Qu.:0.0000   3rd Qu.:0  
##  Max.   :0.379667   Max.   :8.0210   Max.   :3.6917   Max.   :0  
##                                                                  
##     BVS0300         BVA0300           BVS0500          BVA0500        
##  Min.   :0.000   Min.   :0.00000   Min.   :0.0000   Min.   :0.000000  
##  1st Qu.:0.000   1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.000000  
##  Median :0.000   Median :0.00000   Median :0.0000   Median :0.000000  
##  Mean   :0.308   Mean   :0.09041   Mean   :0.1153   Mean   :0.005984  
##  3rd Qu.:0.500   3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:0.000000  
##  Max.   :3.417   Max.   :3.33333   Max.   :2.0000   Max.   :0.500000  
##                                                                       
##     BVU0400           BVS0100           BVA0100     BVU0100       
##  Min.   :0.00000   Min.   :0.00000   Min.   :0   Min.   :0.00000  
##  1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.00000  
##  Median :0.00000   Median :0.00000   Median :0   Median :0.00000  
##  Mean   :0.04061   Mean   :0.01441   Mean   :0   Mean   :0.03529  
##  3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.00000  
##  Max.   :1.52067   Max.   :1.00000   Max.   :0   Max.   :2.00000  
##                                                                   
##     BVS0200     BVA0200     BVU0200     BVS0600           BVA0600        
##  Min.   :0   Min.   :0   Min.   :0   Min.   :0.00000   Min.   :0.000000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0.00000   1st Qu.:0.000000  
##  Median :0   Median :0   Median :0   Median :0.00000   Median :0.000000  
##  Mean   :0   Mean   :0   Mean   :0   Mean   :0.00133   Mean   :0.004433  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.00000   3rd Qu.:0.000000  
##  Max.   :0   Max.   :0   Max.   :0   Max.   :0.25000   Max.   :0.833333  
##                                                                          
##     BVU0500          BVS0700          BVA0700           BVU0600 
##  Min.   : 0.000   Min.   :0.0000   Min.   :0.00000   Min.   :0  
##  1st Qu.: 1.165   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0  
##  Median : 2.122   Median :0.0000   Median :0.00000   Median :0  
##  Mean   : 2.803   Mean   :0.2048   Mean   :0.06616   Mean   :0  
##  3rd Qu.: 3.551   3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0  
##  Max.   :16.646   Max.   :6.6667   Max.   :2.66667   Max.   :0  
##                                                                 
##     BVO0100     BVO0200     BVE0100     BVE0400     BVE0300         
##  Min.   :0   Min.   :0   Min.   :0   Min.   :0   Min.   :0.0000000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0.0000000  
##  Median :0   Median :0   Median :0   Median :0   Median :0.0000000  
##  Mean   :0   Mean   :0   Mean   :0   Mean   :0   Mean   :0.0001773  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.0000000  
##  Max.   :0   Max.   :0   Max.   :0   Max.   :0   Max.   :0.0333333  
##                                                                     
##     BVE0200            MSC0100           MSC0200            MSC0300       
##  Min.   :0.000000   Min.   :0.00000   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0.00000   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.000000   Median :0.00000   Median :0.000000   Median :0.00000  
##  Mean   :0.001931   Mean   :0.04767   Mean   :0.001959   Mean   :0.05866  
##  3rd Qu.:0.000000   3rd Qu.:0.00000   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :0.104333   Max.   :1.33333   Max.   :0.312667   Max.   :0.74833  
##                                                                           
##     MSC0400           MSC0500          MSC0600            MSC0700 
##  Min.   :0.00000   Min.   :0.0000   Min.   :0.000000   Min.   :0  
##  1st Qu.:0.06492   1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0  
##  Median :0.47650   Median :0.0000   Median :0.000000   Median :0  
##  Mean   :0.77395   Mean   :0.0687   Mean   :0.003314   Mean   :0  
##  3rd Qu.:1.00283   3rd Qu.:0.0000   3rd Qu.:0.000000   3rd Qu.:0  
##  Max.   :6.36633   Max.   :1.5000   Max.   :0.333333   Max.   :0  
##                                                                   
##     MSC0800           MSC0900 
##  Min.   :0.00000   Min.   :0  
##  1st Qu.:0.00000   1st Qu.:0  
##  Median :0.00000   Median :0  
##  Mean   :0.01772   Mean   :0  
##  3rd Qu.:0.00000   3rd Qu.:0  
##  Max.   :0.41967   Max.   :0  
## 

2.4 Check missing values

We have 15 subjects’ response including at least one mising value.

vis_dat(DASH_Score)

vis_miss(DASH_Score)

gg_miss_upset(DASH_Score)

2.5 Remove missing values

DASH_Score[DASH_Score=="."] <- NA 
DASH_Score=DASH_Score[complete.cases(DASH_Score), ]
vis_dat(DASH_Score)

vis_miss(DASH_Score)

2.6 Summary statistics

summary(DASH_Score) 
##     Subject         Month             Day             Year     
##  Min.   :4100   Min.   : 1.000   Min.   : 1.00   Min.   :  12  
##  1st Qu.:4147   1st Qu.: 4.000   1st Qu.: 8.00   1st Qu.:2009  
##  Median :4196   Median : 7.000   Median :14.00   Median :2010  
##  Mean   :4200   Mean   : 6.931   Mean   :15.28   Mean   :1987  
##  3rd Qu.:4254   3rd Qu.:10.000   3rd Qu.:22.00   3rd Qu.:2011  
##  Max.   :4306   Max.   :12.000   Max.   :31.00   Max.   :2013  
##                                                                
##       Age             Race            Sex            Income     
##  Min.   :11.00   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:13.00   1st Qu.:1.000   1st Qu.:1.000   1st Qu.:2.000  
##  Median :15.00   Median :1.000   Median :1.000   Median :2.000  
##  Mean   :14.72   Mean   :1.497   Mean   :1.353   Mean   :2.439  
##  3rd Qu.:16.00   3rd Qu.:2.000   3rd Qu.:2.000   3rd Qu.:3.000  
##  Max.   :18.00   Max.   :6.000   Max.   :2.000   Max.   :4.000  
##                                                                 
##       SBP             DBP           HTNST            WTKG       
##  Min.   :107.0   Min.   :50.0   Min.   :1.000   Min.   : 36.40  
##  1st Qu.:123.0   1st Qu.:69.0   1st Qu.:1.000   1st Qu.: 71.40  
##  Median :128.0   Median :75.0   Median :1.000   Median : 86.90  
##  Mean   :127.8   Mean   :74.4   Mean   :1.474   Mean   : 90.43  
##  3rd Qu.:133.0   3rd Qu.:81.0   3rd Qu.:2.000   3rd Qu.:109.40  
##  Max.   :150.0   Max.   :95.0   Max.   :4.000   Max.   :185.90  
##                                                                 
##       HTM            HTPCT           BMIcal          BMIPCT      
##  Min.   :1.413   Min.   : 3.00   Min.   :16.58   Min.   : 12.41  
##  1st Qu.:1.634   1st Qu.:50.00   1st Qu.:25.40   1st Qu.: 90.00  
##  Median :1.703   Median :75.00   Median :29.70   Median : 97.00  
##  Mean   :1.695   Mean   :66.71   Mean   :31.30   Mean   : 90.57  
##  3rd Qu.:1.759   3rd Qu.:90.00   3rd Qu.:36.90   3rd Qu.: 99.00  
##  Max.   :1.957   Max.   :99.90   Max.   :83.60   Max.   :100.00  
##                                                                  
##          DMETS         Sleep        lightmin       modmin       hardmin  
##  36.85714286:  3   67.5   :  6   6240   :  4   0      : 21   0      :60  
##  32.5       :  2   55.5   :  5   6110   :  3   270    :  7   60     : 9  
##  33.7       :  2   58     :  5   4925   :  2   30     :  7   20     : 6  
##  33.9       :  2   66.5   :  5   4965   :  2   50     :  6   15     : 5  
##  34         :  2   56     :  4   5460   :  2   60     :  6   40     : 5  
##  38.1       :  2   58.25  :  4   5595   :  2   20     :  5   90     : 5  
##  (Other)    :160   (Other):144   (Other):158   (Other):121   (Other):83  
##     vhardmin      actweek        X_D_B1           X_D_B2      
##  0      :111   0      : 11   Min.   :0.2111   Min.   :0.2114  
##  60     :  7   20     :  5   1st Qu.:0.2866   1st Qu.:0.2881  
##  120    :  5   10     :  4   Median :0.3200   Median :0.3198  
##  15     :  4   100    :  4   Mean   :0.3219   Mean   :0.3222  
##  40     :  3   360    :  4   3rd Qu.:0.3582   3rd Qu.:0.3581  
##  75     :  3   470    :  4   Max.   :0.4297   Max.   :0.4244  
##  (Other): 40   (Other):141                                    
##      X_D_B3          X_D_601          X_D_602          X_D_603      
##  Min.   :0.2114   Min.   :0.2178   Min.   :0.2189   Min.   :0.2238  
##  1st Qu.:0.2877   1st Qu.:0.3008   1st Qu.:0.3001   1st Qu.:0.3016  
##  Median :0.3206   Median :0.3366   Median :0.3335   Median :0.3335  
##  Mean   :0.3223   Mean   :0.3345   Mean   :0.3343   Mean   :0.3344  
##  3rd Qu.:0.3584   3rd Qu.:0.3671   3rd Qu.:0.3684   3rd Qu.:0.3686  
##  Max.   :0.4299   Max.   :0.4748   Max.   :0.4745   Max.   :0.4745  
##                                                                     
##     X_D_901          X_D_902          X_D_903          X_D_1201     
##  Min.   :0.2175   Min.   :0.2174   Min.   :0.2114   Min.   :0.2110  
##  1st Qu.:0.2988   1st Qu.:0.2976   1st Qu.:0.2959   1st Qu.:0.2938  
##  Median :0.3325   Median :0.3331   Median :0.3307   Median :0.3274  
##  Mean   :0.3305   Mean   :0.3311   Mean   :0.3305   Mean   :0.3260  
##  3rd Qu.:0.3614   3rd Qu.:0.3633   3rd Qu.:0.3619   3rd Qu.:0.3609  
##  Max.   :0.4477   Max.   :0.4387   Max.   :0.4298   Max.   :0.4220  
##                                                                     
##     X_D_1202         X_D_1203         PSV_B_1          PSV_B_2      
##  Min.   :0.2154   Min.   :0.2111   Min.   : 54.82   Min.   : 54.22  
##  1st Qu.:0.2950   1st Qu.:0.2925   1st Qu.: 88.73   1st Qu.: 88.64  
##  Median :0.3274   Median :0.3275   Median :103.25   Median :102.70  
##  Mean   :0.3263   Mean   :0.3263   Mean   :104.43   Mean   :104.66  
##  3rd Qu.:0.3598   3rd Qu.:0.3606   3rd Qu.:117.47   3rd Qu.:118.33  
##  Max.   :0.4298   Max.   :0.4298   Max.   :173.91   Max.   :173.91  
##                                                                     
##     PSV_B_3          PSV_I_41         PSV_I_42         PSV_I_43     
##  Min.   : 54.82   Min.   : 94.29   Min.   : 92.64   Min.   : 90.98  
##  1st Qu.: 88.01   1st Qu.:134.16   1st Qu.:134.30   1st Qu.:134.69  
##  Median :101.84   Median :156.91   Median :155.96   Median :155.34  
##  Mean   :104.39   Mean   :159.78   Mean   :159.62   Mean   :159.25  
##  3rd Qu.:118.29   3rd Qu.:187.39   3rd Qu.:186.27   3rd Qu.:186.27  
##  Max.   :169.02   Max.   :271.97   Max.   :269.43   Max.   :269.43  
##                                                                     
##     PSV_I_51         PSV_I_52         PSV_I_53         PSV_I_61    
##  Min.   : 95.05   Min.   : 95.05   Min.   : 96.55   Min.   : 94.3  
##  1st Qu.:134.36   1st Qu.:135.19   1st Qu.:133.81   1st Qu.:136.9  
##  Median :160.46   Median :158.62   Median :159.64   Median :162.1  
##  Mean   :160.96   Mean   :160.60   Mean   :160.59   Mean   :162.4  
##  3rd Qu.:187.73   3rd Qu.:187.91   3rd Qu.:187.91   3rd Qu.:187.7  
##  Max.   :266.88   Max.   :264.34   Max.   :266.88   Max.   :269.4  
##                                                                    
##     PSV_I_62         PSV_I_63         PSV_601          PSV_602      
##  Min.   : 93.56   Min.   : 93.56   Min.   : 68.86   Min.   : 67.36  
##  1st Qu.:134.85   1st Qu.:136.43   1st Qu.:111.59   1st Qu.:110.83  
##  Median :161.30   Median :161.99   Median :124.72   Median :124.47  
##  Mean   :161.87   Mean   :162.14   Mean   :127.29   Mean   :126.67  
##  3rd Qu.:187.70   3rd Qu.:187.70   3rd Qu.:143.68   3rd Qu.:141.92  
##  Max.   :269.43   Max.   :269.43   Max.   :198.28   Max.   :200.80  
##                                                                     
##     PSV_603          PSV_901         PSV_902          PSV_903      
##  Min.   : 68.86   Min.   : 75.5   Min.   : 74.47   Min.   : 74.47  
##  1st Qu.:111.41   1st Qu.:106.5   1st Qu.:106.14   1st Qu.:106.60  
##  Median :125.55   Median :119.7   Median :119.73   Median :119.22  
##  Mean   :127.05   Mean   :122.4   Mean   :122.49   Mean   :122.37  
##  3rd Qu.:143.67   3rd Qu.:136.9   3rd Qu.:137.66   3rd Qu.:137.30  
##  Max.   :200.80   Max.   :193.0   Max.   :192.96   Max.   :195.35  
##                                                                    
##     PSV_1201         PSV_1202         PSV_1203          energy      
##  Min.   : 66.19   Min.   : 67.23   Min.   : 67.23   Min.   : 594.1  
##  1st Qu.:101.75   1st Qu.:102.56   1st Qu.:102.50   1st Qu.:1250.4  
##  Median :114.83   Median :114.65   Median :115.78   Median :1667.4  
##  Mean   :117.60   Mean   :117.57   Mean   :117.85   Mean   :1691.9  
##  3rd Qu.:130.68   3rd Qu.:127.85   3rd Qu.:129.70   3rd Qu.:2028.1  
##  Max.   :187.40   Max.   :187.40   Max.   :208.23   Max.   :3424.3  
##                                                                     
##       Chol           Sucrose            Fiber              CA        
##  Min.   : 49.41   Min.   :  3.402   Min.   : 2.765   Min.   : 228.1  
##  1st Qu.:116.95   1st Qu.: 20.562   1st Qu.: 8.154   1st Qu.: 505.6  
##  Median :172.32   Median : 32.290   Median :11.240   Median : 807.8  
##  Mean   :197.61   Mean   : 35.434   Mean   :11.912   Mean   : 855.3  
##  3rd Qu.:243.54   3rd Qu.: 46.435   3rd Qu.:14.969   3rd Qu.:1055.0  
##  Max.   :873.22   Max.   :131.194   Max.   :30.307   Max.   :2885.6  
##                                                                      
##        Mg               Na               K             Caffeine      
##  Min.   : 42.28   Min.   : 900.4   Min.   : 606.8   Min.   :  0.000  
##  1st Qu.:140.12   1st Qu.:2165.9   1st Qu.:1269.8   1st Qu.:  2.463  
##  Median :186.20   Median :2798.6   Median :1754.2   Median : 17.067  
##  Mean   :201.57   Mean   :2876.9   Mean   :1863.2   Mean   : 32.635  
##  3rd Qu.:247.71   3rd Qu.:3512.3   3rd Qu.:2257.0   3rd Qu.: 44.372  
##  Max.   :470.60   Max.   :5328.0   Max.   :4891.1   Max.   :422.941  
##                                                                      
##       pfat           pcarb            ppro            psfat       
##  Min.   :17.12   Min.   :32.44   Min.   : 7.535   Min.   : 4.608  
##  1st Qu.:29.22   1st Qu.:46.47   1st Qu.:13.916   1st Qu.: 9.369  
##  Median :32.82   Median :51.01   Median :16.122   Median :10.976  
##  Mean   :32.72   Mean   :50.89   Mean   :16.375   Mean   :11.014  
##  3rd Qu.:36.33   3rd Qu.:55.00   3rd Qu.:18.662   3rd Qu.:12.587  
##  Max.   :51.37   Max.   :74.48   Max.   :29.204   Max.   :16.541  
##                                                                   
##      trans          FRU0100          FRU0200           FRU0300       
##  Min.   :0.349   Min.   :0.0000   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:1.762   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :3.096   Median :0.0000   Median :0.00000   Median :0.00000  
##  Mean   :3.275   Mean   :0.3413   Mean   :0.24120   Mean   :0.04062  
##  3rd Qu.:4.630   3rd Qu.:0.3333   3rd Qu.:0.09267   3rd Qu.:0.00000  
##  Max.   :9.031   Max.   :6.6687   Max.   :4.66667   Max.   :1.33333  
##                                                                      
##     FRU0400          FRU0500            FRU0700            VEG0100      
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.000000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.000000   1st Qu.:0.0000  
##  Median :0.2890   Median :0.000000   Median :0.000000   Median :0.0000  
##  Mean   :0.4994   Mean   :0.003717   Mean   :0.001927   Mean   :0.1729  
##  3rd Qu.:0.6667   3rd Qu.:0.000000   3rd Qu.:0.000000   3rd Qu.:0.2170  
##  Max.   :3.6093   Max.   :0.377667   Max.   :0.333333   Max.   :1.5187  
##                                                                         
##     VEG0200          VEG0300          VEG0400          VEG0450        
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.000000  
##  1st Qu.:0.0000   1st Qu.:0.1160   1st Qu.:0.0000   1st Qu.:0.000000  
##  Median :0.0000   Median :0.2713   Median :0.0000   Median :0.004333  
##  Mean   :0.0965   Mean   :0.3533   Mean   :0.2024   Mean   :0.128351  
##  3rd Qu.:0.1003   3rd Qu.:0.4993   3rd Qu.:0.2990   3rd Qu.:0.172000  
##  Max.   :1.6037   Max.   :1.6160   Max.   :2.0347   Max.   :2.003000  
##                                                                       
##     VEG0700           VEG0600          VEG0500            FMC0100     
##  Min.   :0.00000   Min.   :0.0000   Min.   :0.000000   Min.   :0.000  
##  1st Qu.:0.00000   1st Qu.:0.1213   1st Qu.:0.000000   1st Qu.:0.000  
##  Median :0.00000   Median :0.3223   Median :0.000000   Median :0.000  
##  Mean   :0.08603   Mean   :0.4576   Mean   :0.003397   Mean   :0.108  
##  3rd Qu.:0.00000   3rd Qu.:0.7043   3rd Qu.:0.000000   3rd Qu.:0.000  
##  Max.   :1.33333   Max.   :2.7107   Max.   :0.562667   Max.   :2.430  
##                                                                       
##     GRW0100           GRS0100            GRR0100          GRW0200      
##  Min.   :0.00000   Min.   :0.000000   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0.000000   1st Qu.:0.1390   1st Qu.:0.0000  
##  Median :0.00000   Median :0.000000   Median :0.6833   Median :0.0000  
##  Mean   :0.08407   Mean   :0.000973   Mean   :1.0630   Mean   :0.2878  
##  3rd Qu.:0.00000   3rd Qu.:0.000000   3rd Qu.:1.5360   3rd Qu.:0.3333  
##  Max.   :2.29867   Max.   :0.168333   Max.   :6.8607   Max.   :3.3333  
##                                                                        
##     GRS0200          GRR0200          GRW0300           GRS0300        
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.00000   Min.   :0.000000  
##  1st Qu.:0.0000   1st Qu.:0.8837   1st Qu.:0.00000   1st Qu.:0.000000  
##  Median :0.0000   Median :1.5503   Median :0.00000   Median :0.000000  
##  Mean   :0.1856   Mean   :1.7969   Mean   :0.03575   Mean   :0.007505  
##  3rd Qu.:0.0000   3rd Qu.:2.2533   3rd Qu.:0.00000   3rd Qu.:0.000000  
##  Max.   :2.6667   Max.   :7.3883   Max.   :1.31433   Max.   :0.684333  
##                                                                        
##     GRR0300           GRW0400     GRS0400            GRR0400       
##  Min.   :0.00000   Min.   :0   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.08333   Median :0   Median :0.000000   Median :0.00000  
##  Mean   :0.62286   Mean   :0   Mean   :0.007216   Mean   :0.09872  
##  3rd Qu.:1.03500   3rd Qu.:0   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :5.72333   Max.   :0   Max.   :0.352667   Max.   :2.94900  
##                                                                    
##     GRW0500           GRS0500     GRR0500          GRW0600      
##  Min.   :0.00000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0.00000   Median :0   Median :0.3177   Median :0.0000  
##  Mean   :0.04025   Mean   :0   Mean   :0.5477   Mean   :0.0714  
##  3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.9693   3rd Qu.:0.0000  
##  Max.   :1.33333   Max.   :0   Max.   :2.7650   Max.   :2.3280  
##                                                                 
##     GRS0600            GRR0600           GRW0700          GRS0700       
##  Min.   :0.000000   Min.   :0.00000   Min.   :0.0000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.00000  
##  Median :0.000000   Median :0.00000   Median :0.0000   Median :0.00000  
##  Mean   :0.007249   Mean   :0.03324   Mean   :0.2064   Mean   :0.04342  
##  3rd Qu.:0.000000   3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:0.00000  
##  Max.   :1.254000   Max.   :2.04600   Max.   :3.0373   Max.   :1.76367  
##                                                                         
##     GRR0700          GRW0800           GRS0800           GRR0800      
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.00000   Median :0.00000   Median :0.1637  
##  Mean   :0.1113   Mean   :0.01366   Mean   :0.01339   Mean   :0.3620  
##  3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.5337  
##  Max.   :1.9987   Max.   :1.21200   Max.   :0.52900   Max.   :3.0597  
##                                                                       
##     GRW1000           GRS1000           GRR1000          GRW0900     
##  Min.   :0.00000   Min.   :0.00000   Min.   :0.0000   Min.   :0.000  
##  1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.000  
##  Median :0.00000   Median :0.00000   Median :0.0000   Median :0.000  
##  Mean   :0.03381   Mean   :0.03365   Mean   :0.0146   Mean   :0.152  
##  3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:0.188  
##  Max.   :1.00000   Max.   :0.92500   Max.   :0.8750   Max.   :1.833  
##                                                                      
##     GRS0900           GRR0900          GRW1100           GRW1200 
##  Min.   :0.00000   Min.   :0.0000   Min.   :0.00000   Min.   :0  
##  1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0  
##  Median :0.00000   Median :0.0000   Median :0.00000   Median :0  
##  Mean   :0.01577   Mean   :0.1106   Mean   :0.04427   Mean   :0  
##  3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0  
##  Max.   :1.65800   Max.   :1.9400   Max.   :2.27367   Max.   :0  
##                                                                  
##     MRF0100          MRL0100          MRF0200     MRL0200     MRF0300 
##  Min.   :0.0000   Min.   :0.0000   Min.   :0   Min.   :0   Min.   :0  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0   1st Qu.:0   1st Qu.:0  
##  Median :0.6690   Median :0.0000   Median :0   Median :0   Median :0  
##  Mean   :0.8509   Mean   :0.1995   Mean   :0   Mean   :0   Mean   :0  
##  3rd Qu.:1.3450   3rd Qu.:0.0000   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0  
##  Max.   :6.3950   Max.   :3.7733   Max.   :0   Max.   :0   Max.   :0  
##                                                                       
##     MRL0300     MRF0400           MRL0400           MCF0200       
##  Min.   :0   Min.   :0.00000   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:0   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :0   Median :0.00000   Median :0.00000   Median :0.00000  
##  Mean   :0   Mean   :0.09352   Mean   :0.05998   Mean   :0.04757  
##  3rd Qu.:0   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.00000  
##  Max.   :0   Max.   :1.97333   Max.   :1.85767   Max.   :0.58800  
##                                                                   
##     MCL0200           MRF0500     MPF0100          MPL0100      
##  Min.   :0.00000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0.00000   Median :0   Median :0.0000   Median :0.6113  
##  Mean   :0.03487   Mean   :0   Mean   :0.2252   Mean   :0.8871  
##  3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.0000   3rd Qu.:1.3333  
##  Max.   :1.57567   Max.   :0   Max.   :3.3100   Max.   :5.4557  
##                                                                 
##     MPF0200          MFF0100            MFL0100          MFF0200       
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.0000   Min.   :0.00000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.0000   1st Qu.:0.00000  
##  Median :0.0000   Median :0.000000   Median :0.0000   Median :0.00000  
##  Mean   :0.6115   Mean   :0.003399   Mean   :0.1164   Mean   :0.03639  
##  3rd Qu.:0.9407   3rd Qu.:0.000000   3rd Qu.:0.0000   3rd Qu.:0.00000  
##  Max.   :5.2440   Max.   :0.588000   Max.   :5.4320   Max.   :2.23400  
##                                                                        
##     MSL0100           MSF0100     MCF0100          MCL0100      
##  Min.   :0.00000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0.00000   Median :0   Median :0.2470   Median :0.0000  
##  Mean   :0.01519   Mean   :0   Mean   :0.4894   Mean   :0.2608  
##  3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.7523   3rd Qu.:0.3333  
##  Max.   :0.66633   Max.   :0   Max.   :5.0980   Max.   :2.4773  
##                                                                 
##     MOF0100     FMC0200     MOF0300          MOF0400     MOF0500       
##  Min.   :0   Min.   :0   Min.   :0.0000   Min.   :0   Min.   :0.00000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0   1st Qu.:0.00000  
##  Median :0   Median :0   Median :0.0000   Median :0   Median :0.00000  
##  Mean   :0   Mean   :0   Mean   :0.2546   Mean   :0   Mean   :0.04068  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.3333   3rd Qu.:0   3rd Qu.:0.00000  
##  Max.   :0   Max.   :0   Max.   :3.3590   Max.   :0   Max.   :1.35200  
##                                                                        
##     MOF0600          MOF0700          DMF0100           DMR0100      
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.0000   Median :0.00000   Median :0.0210  
##  Mean   :0.2514   Mean   :0.0161   Mean   :0.08948   Mean   :0.2807  
##  3rd Qu.:0.0000   3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0.3333  
##  Max.   :3.3333   Max.   :2.1603   Max.   :4.45833   Max.   :6.0000  
##                                                                      
##     DML0100          DMF0200            DMR0200           DML0200      
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.00000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.00000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.000000   Median :0.00000   Median :0.0000  
##  Mean   :0.3592   Mean   :0.008499   Mean   :0.04697   Mean   :0.1567  
##  3rd Qu.:0.3750   3rd Qu.:0.000000   3rd Qu.:0.00000   3rd Qu.:0.3230  
##  Max.   :4.8367   Max.   :0.916667   Max.   :1.33333   Max.   :2.0000  
##                                                                        
##     DML0300            DML0400     DCF0100          DCR0100      
##  Min.   :0.000000   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0.000000   1st Qu.:0   1st Qu.:0.1460   1st Qu.:0.0000  
##  Median :0.000000   Median :0   Median :0.3147   Median :0.1660  
##  Mean   :0.001647   Mean   :0   Mean   :0.4035   Mean   :0.2609  
##  3rd Qu.:0.000000   3rd Qu.:0   3rd Qu.:0.5487   3rd Qu.:0.3920  
##  Max.   :0.187667   Max.   :0   Max.   :1.7970   Max.   :2.1250  
##                                                                  
##     DCL0100             DYF0100            DYR0100       
##  Min.   :0.0000000   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.0000000   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.0000000   Median :0.000000   Median :0.00000  
##  Mean   :0.0005048   Mean   :0.003832   Mean   :0.03534  
##  3rd Qu.:0.0000000   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :0.0556667   Max.   :0.189667   Max.   :0.69433  
##                                                          
##     DYL0100            DYF0200     DYR0200            DYL0200       
##  Min.   :0.000000   Min.   :0   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.000000   Median :0   Median :0.000000   Median :0.00000  
##  Mean   :0.001927   Mean   :0   Mean   :0.001927   Mean   :0.02154  
##  3rd Qu.:0.000000   3rd Qu.:0   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :0.333333   Max.   :0   Max.   :0.333333   Max.   :0.79600  
##                                                                     
##     DOT0100          DOT0300            DOT0400            FCF0100      
##  Min.   :0.0000   Min.   :0.000000   Min.   :0.000000   Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.000000   1st Qu.:0.0000  
##  Median :0.0000   Median :0.000000   Median :0.000000   Median :0.0000  
##  Mean   :0.1879   Mean   :0.006329   Mean   :0.003143   Mean   :0.0938  
##  3rd Qu.:0.2223   3rd Qu.:0.000000   3rd Qu.:0.000000   3rd Qu.:0.0000  
##  Max.   :2.0000   Max.   :0.288667   Max.   :0.407667   Max.   :2.5000  
##                                                                         
##     FCR0100           FCL0100            DOT0500            DOT0600 
##  Min.   :0.00000   Min.   :0.000000   Min.   :0.000000   Min.   :0  
##  1st Qu.:0.00000   1st Qu.:0.000000   1st Qu.:0.000000   1st Qu.:0  
##  Median :0.00000   Median :0.000000   Median :0.000000   Median :0  
##  Mean   :0.02394   Mean   :0.004447   Mean   :0.001927   Mean   :0  
##  3rd Qu.:0.00000   3rd Qu.:0.000000   3rd Qu.:0.000000   3rd Qu.:0  
##  Max.   :1.84467   Max.   :0.310000   Max.   :0.333333   Max.   :0  
##                                                                     
##     DOT0700     DOT0800     FMF0100          FMR0100      
##  Min.   :0   Min.   :0   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0.0000   1st Qu.:0.0000  
##  Median :0   Median :0   Median :0.0000   Median :0.0000  
##  Mean   :0   Mean   :0   Mean   :0.3329   Mean   :0.3631  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.5453   3rd Qu.:0.6667  
##  Max.   :0   Max.   :0   Max.   :2.7000   Max.   :4.0000  
##                                                           
##     FOF0100           FSF0100         FAF0100          FAR0100 
##  Min.   :0.00000   Min.   :0.000   Min.   :0.0000   Min.   :0  
##  1st Qu.:0.05867   1st Qu.:0.000   1st Qu.:0.0000   1st Qu.:0  
##  Median :0.57100   Median :0.000   Median :0.0000   Median :0  
##  Mean   :0.77093   Mean   :0.182   Mean   :0.1976   Mean   :0  
##  3rd Qu.:1.15800   3rd Qu.:0.000   3rd Qu.:0.1667   3rd Qu.:0  
##  Max.   :6.59933   Max.   :4.082   Max.   :4.0370   Max.   :0  
##                                                                
##     FDF0100          FDR0100           SWT0400           SWT0500       
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :0.0000   Median :0.00000   Median :0.05433   Median :0.04467  
##  Mean   :0.2188   Mean   :0.08257   Mean   :0.32932   Mean   :0.23431  
##  3rd Qu.:0.3263   3rd Qu.:0.00000   3rd Qu.:0.23367   3rd Qu.:0.29533  
##  Max.   :1.5297   Max.   :1.72200   Max.   :4.25000   Max.   :3.36900  
##                                                                        
##     SWT0700            SWT0800           SWT0100           SWT0200       
##  Min.   :0.000000   Min.   :0.00000   Min.   :0.00000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.00000  
##  Median :0.000000   Median :0.00000   Median :0.00000   Median :0.00000  
##  Mean   :0.002177   Mean   :0.02246   Mean   :0.06351   Mean   :0.05827  
##  3rd Qu.:0.000000   3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0.00000  
##  Max.   :0.351000   Max.   :0.83333   Max.   :1.06833   Max.   :1.33533  
##                                                                          
##     SWT0300            BVS0400          BVA0400          BVU0300 
##  Min.   :0.000000   Min.   :0.0000   Min.   :0.0000   Min.   :0  
##  1st Qu.:0.000000   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0  
##  Median :0.000000   Median :0.3333   Median :0.0000   Median :0  
##  Mean   :0.004994   Mean   :0.6937   Mean   :0.2469   Mean   :0  
##  3rd Qu.:0.000000   3rd Qu.:1.0000   3rd Qu.:0.0000   3rd Qu.:0  
##  Max.   :0.379667   Max.   :6.3180   Max.   :3.6917   Max.   :0  
##                                                                  
##     BVS0300          BVA0300           BVS0500         BVA0500        
##  Min.   :0.0000   Min.   :0.00000   Min.   :0.000   Min.   :0.000000  
##  1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0.000   1st Qu.:0.000000  
##  Median :0.0000   Median :0.00000   Median :0.000   Median :0.000000  
##  Mean   :0.3154   Mean   :0.09824   Mean   :0.122   Mean   :0.004877  
##  3rd Qu.:0.5000   3rd Qu.:0.00000   3rd Qu.:0.000   3rd Qu.:0.000000  
##  Max.   :3.4167   Max.   :3.33333   Max.   :2.000   Max.   :0.500000  
##                                                                       
##     BVU0400           BVS0100           BVA0100     BVU0100       
##  Min.   :0.00000   Min.   :0.00000   Min.   :0   Min.   :0.00000  
##  1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0   1st Qu.:0.00000  
##  Median :0.00000   Median :0.00000   Median :0   Median :0.00000  
##  Mean   :0.04413   Mean   :0.01566   Mean   :0   Mean   :0.03546  
##  3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:0   3rd Qu.:0.00000  
##  Max.   :1.52067   Max.   :1.00000   Max.   :0   Max.   :2.00000  
##                                                                   
##     BVS0200     BVA0200     BVU0200     BVS0600            BVA0600        
##  Min.   :0   Min.   :0   Min.   :0   Min.   :0.000000   Min.   :0.000000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0.000000   1st Qu.:0.000000  
##  Median :0   Median :0   Median :0   Median :0.000000   Median :0.000000  
##  Mean   :0   Mean   :0   Mean   :0   Mean   :0.001445   Mean   :0.004817  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.000000   3rd Qu.:0.000000  
##  Max.   :0   Max.   :0   Max.   :0   Max.   :0.250000   Max.   :0.833333  
##                                                                           
##     BVU0500          BVS0700          BVA0700           BVU0600 
##  Min.   : 0.000   Min.   :0.0000   Min.   :0.00000   Min.   :0  
##  1st Qu.: 1.210   1st Qu.:0.0000   1st Qu.:0.00000   1st Qu.:0  
##  Median : 2.204   Median :0.0000   Median :0.00000   Median :0  
##  Mean   : 2.910   Mean   :0.1937   Mean   :0.07189   Mean   :0  
##  3rd Qu.: 3.708   3rd Qu.:0.0000   3rd Qu.:0.00000   3rd Qu.:0  
##  Max.   :16.646   Max.   :6.6667   Max.   :2.66667   Max.   :0  
##                                                                 
##     BVO0100     BVO0200     BVE0100     BVE0400     BVE0300         
##  Min.   :0   Min.   :0   Min.   :0   Min.   :0   Min.   :0.0000000  
##  1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0   1st Qu.:0.0000000  
##  Median :0   Median :0   Median :0   Median :0   Median :0.0000000  
##  Mean   :0   Mean   :0   Mean   :0   Mean   :0   Mean   :0.0001927  
##  3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0   3rd Qu.:0.0000000  
##  Max.   :0   Max.   :0   Max.   :0   Max.   :0   Max.   :0.0333333  
##                                                                     
##     BVE0200            MSC0100          MSC0200            MSC0300       
##  Min.   :0.000000   Min.   :0.0000   Min.   :0.000000   Min.   :0.00000  
##  1st Qu.:0.000000   1st Qu.:0.0000   1st Qu.:0.000000   1st Qu.:0.00000  
##  Median :0.000000   Median :0.0000   Median :0.000000   Median :0.00000  
##  Mean   :0.001495   Mean   :0.0518   Mean   :0.002129   Mean   :0.05542  
##  3rd Qu.:0.000000   3rd Qu.:0.0000   3rd Qu.:0.000000   3rd Qu.:0.00000  
##  Max.   :0.080667   Max.   :1.3333   Max.   :0.312667   Max.   :0.50000  
##                                                                          
##     MSC0400           MSC0500           MSC0600            MSC0700 
##  Min.   :0.00000   Min.   :0.00000   Min.   :0.000000   Min.   :0  
##  1st Qu.:0.05567   1st Qu.:0.00000   1st Qu.:0.000000   1st Qu.:0  
##  Median :0.47967   Median :0.00000   Median :0.000000   Median :0  
##  Mean   :0.79988   Mean   :0.07065   Mean   :0.003601   Mean   :0  
##  3rd Qu.:1.06333   3rd Qu.:0.00000   3rd Qu.:0.000000   3rd Qu.:0  
##  Max.   :6.36633   Max.   :1.50000   Max.   :0.333333   Max.   :0  
##                                                                    
##     MSC0800           MSC0900 
##  Min.   :0.00000   Min.   :0  
##  1st Qu.:0.00000   1st Qu.:0  
##  Median :0.00000   Median :0  
##  Mean   :0.01811   Mean   :0  
##  3rd Qu.:0.00000   3rd Qu.:0  
##  Max.   :0.41967   Max.   :0  
## 

go to top

3 The Gunther’s scoring system

3.1 step 1: initialization

n=dim(DASH_Score)[1]
score_tg=rep(0,n)
score_wg=rep(0,n)
score_v=rep(0,n)
score_f=rep(0,n)
score_td=rep(0,n)
score_lfd=rep(0,n)
score_m=rep(0,n)
score_n=rep(0,n)
score_o=rep(0,n)
score_s=rep(0,n)
score_na=rep(0,n)
attach(DASH_Score)
Tfruit = (FRU0100 + FRU0200+ FRU0300+FRU0400+FRU0500+FRU0700);# missing +FRU0600
Tveg = (VEG0100+VEG0200+VEG0300+VEG0400+VEG0450+VEG0600+VEG0500+ FMC0100);# missing 'VEG0800' +VEG0900
Tgrains = (GRW0100+GRS0100+GRR0100+GRW0200+GRS0200+GRR0200+GRW0300+GRS0300+GRR0300+GRW0400+GRS0400+GRR0400+GRW0500+GRS0500+GRR0500+GRW0600+ GRS0600+GRR0600+GRW0700+GRS0700+GRR0700+GRW0800+GRS0800+GRR0800+GRW1000+GRS1000+GRR1000+GRW0900+GRS0900+GRR0900+GRW1100+GRW1200);
Wgrain= (GRW0100 +GRW0200+ GRW0300 +GRW0400 +GRW0500+ GRW0600+ GRW0700 +GRW0800+ GRW1000 +GRW0900 +GRW1100+GRW1200)+(GRS0100 +GRS0200 +GRS0300 +GRS0400 +GRS0500+ GRS0600+ GRS0700+ GRS0800+ GRS1000 +GRS0900)/2;
Nuts = (VEG0700+MOF0500);
Meat = (MRF0100+MRL0100+MRF0200+MRL0200+MRF0300+MRL0300+MRF0400+MRL0400+MCF0200+MCL0200+MRF0500+ MPL0100+MPF0100+MPF0200+MFF0100+MFL0100+MFF0200+MSL0100+MSF0100+MCF0100+MCL0100+MOF0100+FMC0200+MOF0300+MOF0400+MOF0600+MOF0700);
Dairy = (DMF0100+DMR0100+DML0100+DMF0200+DMR0200+DML0200+DML0300+DML0400+DCF0100+DCR0100+DCL0100+DYF0100+DYR0100+DYL0100+DYF0200+DYR0200+DYL0200+DOT0100+DOT0300+DOT0400+FCF0100+FCR0100+FCL0100+DOT0500+DOT0600+DOT0700+DOT0800);# missing SWT0600+MSC1100
Lfdairy = (DML0100 +DML0200+DML0300+DML0400 + DCL0100+ DYL0100+ DYL0200+FCL0100); #missing SWT0600 +MSC1100
Fats = (FMF0100+FMR0100+FOF0100+FSF0100+FAF0100+FAR0100+FDF0100+FDR0100+MSC0100+MSC0200+MSC0300+MSC0400);
Sweets =(SWT0100+SWT0400+SWT0500+SWT0700+SWT0800+SWT0200+SWT0300+BVS0400+BVS0300+BVS0500+BVS0100+BVS0200+BVS0600+BVS0700+GRS0800+GRW0800+GRR0800+GRW1000+GRS1000+GRR1000+MSC0600);

3.2 step 2: the Gunther’s scores for each subject

for (i in 1:n){
  if(Sex[i]==1)
  { 
    goal_tg = 9;
    goal_wg=4.5;
    goal_v=5;
    goal_f=5;
    goal_td=3;
    goal_lfd=2.25;
    goal_m=6;
    goal_n=1.0;
    goal_o=3;
    goal_s=1.0; 
  }else{
    goal_tg = 6;
    goal_wg=3;
    goal_v=4; 
    goal_f=4;
    goal_td=3;
    goal_lfd=2.25;
    goal_m=6;
    goal_n=0.6;
    goal_o = 2;
    goal_s=0.7; 
  }
  
  if (Tgrains[i]>=goal_tg){
    score_tg[i]=5;
  } else {
    score_tg[i] = 5/goal_tg * Tgrains[i]
  }

  if (Wgrain[i]>=goal_wg) {
    score_wg[i]=5;
  } else {
    score_wg[i] = 5/goal_wg * Wgrain[i];  
  }                                                                                                      
  
  if (Tveg[i]>=goal_v) {
    score_v[i]=10;
  }  else {
    score_v[i] = 10/goal_v * Tveg[i]; 
  }                                                                                                           
  if (Tfruit[i]>=goal_f) {
    score_f[i]=10; 
  }   else{
    score_f[i] = 10/goal_f * Tfruit[i];   
  } ######## difference begins                                                                                                
  if (Dairy[i]>=goal_td) {
    score_td[i]=5;   
  } else {
    score_td[i] = 5/goal_td * Dairy[i];  
  }  
  
  if (Lfdairy[i]>=goal_lfd) {
    score_lfd[i]=5;   
  } else {
    score_lfd[i] = 5/goal_lfd * Lfdairy[i];  
  }  ######## difference ends   
  
  if (Meat[i]<=goal_m){
    score_m[i]=10;  
  }else if (Meat[i]>=2*goal_m) {
    score_m[i]=0; 
  } else {
    score_m[i] = 10/goal_m * (2*goal_m - Meat[i]);  
  }
  
  if (Nuts[i]>=goal_n){
    score_n[i]=10;   
  }  else {
    score_n[i]= 10/goal_n * Nuts[i]; 
  }                                                                                               
  if (Fats[i]<=goal_o){
    score_o[i]=10     
  } else if (Fats[i]>=2*goal_o){
    score_o[i]=0;   
  }  else {
    score_o[i] = 10/goal_o * (2*goal_o - Fats[i]); 
  }                                                                                               
  if (Sweets[i]<=goal_s){
    score_s[i]=10;  
  } else if (Sweets[i]>=2*goal_s){
    score_s[i]=0;   
  } else {
    score_s[i] = 10/goal_s * (2*goal_s-Sweets[i]);     
  }
}

DASHSC_Gunther= (score_tg + score_wg + score_v + score_f + score_lfd + score_m + score_n+score_o + score_s);

Let us get a sense of first 5 Gunther scores.

head(DASHSC_Gunther,5)
## [1] 35.63459 35.73563 35.46822 28.06700 37.40231

3.3 Marginal Data Analysis

3.4 Step 1: we produce scatterplots of Gunther DASH Score vs SBP/DBP, respectively.

par(mfrow=c(1,2))

plot(DASHSC_Gunther,SBP)
plot(DASHSC_Gunther,DBP)

3.5 Step 2: we calculate correlation (pearson, spearman and kendal) below between Gunther DASH Scores and SBP/DBP.

3.5.1 correlation (pearson) between Gunther DASH Score and SBP

data11=data.frame(DASHSC_Gunther,SBP)
cor(data11, use="complete.obs", method="pearson") 
##                DASHSC_Gunther        SBP
## DASHSC_Gunther      1.0000000 -0.0149707
## SBP                -0.0149707  1.0000000

3.5.2 correlation (spearman) between Gunther DASH Score and SBP

cor(data11, use="complete.obs", method="spearman") 
##                DASHSC_Gunther        SBP
## DASHSC_Gunther     1.00000000 0.00608429
## SBP                0.00608429 1.00000000

3.5.3 correlation (kendall) between Gunther DASH Score and SBP

cor(data11, use="complete.obs", method="kendall") 
##                DASHSC_Gunther         SBP
## DASHSC_Gunther    1.000000000 0.005965193
## SBP               0.005965193 1.000000000

3.5.4 correlation (pearson) between Gunther DASH Score and SBP

data12=data.frame(DASHSC_Gunther,DBP)
cor(data12, use="complete.obs", method="pearson") 
##                DASHSC_Gunther        DBP
## DASHSC_Gunther      1.0000000 -0.1724092
## DBP                -0.1724092  1.0000000

3.5.5 correlation (spearman) between Gunther DASH Score and SBP

cor(data12, use="complete.obs", method="spearman") 
##                DASHSC_Gunther        DBP
## DASHSC_Gunther      1.0000000 -0.1563493
## DBP                -0.1563493  1.0000000

3.5.6 correlation (kendall) between Gunther DASH Score and SBP

cor(data12, use="complete.obs", method="kendall") 
##                DASHSC_Gunther       DBP
## DASHSC_Gunther       1.000000 -0.107761
## DBP                 -0.107761  1.000000

3.5.7 Linear Regression

We build a linear regression with SBP/DBP as response and dash score as regressor with other covariates including age, Sex, Income,HTNST,WTKG,HTM,HTPCT,BMIcal and BMIPCT

3.5.7.1 SBP as response

We can see that dash score is not statistically significance under \(\alpha\)=0.05.

summary(l11)
## 
## Call:
## lm(formula = SBP ~ DASHSC_Gunther + Age + Sex + as.factor(Income) + 
##     as.factor(HTNST) + WTKG + HTM + HTPCT + BMIcal + BMIPCT, 
##     data = data11)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -10.942  -2.161   0.521   2.386  12.268 
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        88.22910   11.05235   7.983 2.76e-13 ***
## DASHSC_Gunther     -0.05457    0.04210  -1.296  0.19679    
## Age                 0.87943    0.25722   3.419  0.00080 ***
## Sex                -2.82311    0.88665  -3.184  0.00175 ** 
## as.factor(Income)2  0.62970    0.83796   0.751  0.45349    
## as.factor(Income)3  1.26519    0.97333   1.300  0.19554    
## as.factor(Income)4  1.47646    0.98752   1.495  0.13688    
## as.factor(HTNST)2   8.85096    0.64720  13.676  < 2e-16 ***
## as.factor(HTNST)3  -8.39800    1.46709  -5.724 5.09e-08 ***
## as.factor(HTNST)4   8.43612    4.09460   2.060  0.04101 *  
## WTKG                0.02764    0.04124   0.670  0.50373    
## HTM                16.71653    7.56214   2.211  0.02850 *  
## HTPCT               0.03270    0.01879   1.740  0.08378 .  
## BMIcal             -0.10123    0.10118  -1.001  0.31857    
## BMIPCT             -0.01485    0.02489  -0.597  0.55152    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.818 on 158 degrees of freedom
## Multiple R-squared:  0.7448, Adjusted R-squared:  0.7222 
## F-statistic: 32.94 on 14 and 158 DF,  p-value: < 2.2e-16

3.5.7.2 DBP as response

We can see that dash score is not statistically significance under \(\alpha\)=0.05.

summary(l12)
## 
## Call:
## lm(formula = DBP ~ DASHSC_Gunther + Age + Sex + as.factor(Income) + 
##     as.factor(HTNST) + WTKG + HTM + HTPCT + BMIcal + BMIPCT, 
##     data = data12)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -22.3728  -4.1951   0.5318   6.1364  14.8782 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         81.409326  23.379455   3.482 0.000644 ***
## DASHSC_Gunther      -0.122292   0.089059  -1.373 0.171648    
## Age                  1.324050   0.544096   2.433 0.016070 *  
## Sex                 -0.122031   1.875565  -0.065 0.948205    
## as.factor(Income)2  -1.580608   1.772563  -0.892 0.373906    
## as.factor(Income)3  -0.709749   2.058920  -0.345 0.730764    
## as.factor(Income)4  -0.151101   2.088944  -0.072 0.942428    
## as.factor(HTNST)2    2.909268   1.369052   2.125 0.035140 *  
## as.factor(HTNST)3   -2.443942   3.103379  -0.788 0.432163    
## as.factor(HTNST)4   18.240806   8.661468   2.106 0.036788 *  
## WTKG                -0.045191   0.087240  -0.518 0.605179    
## HTM                -13.503310  15.996467  -0.844 0.399866    
## HTPCT                0.004327   0.039751   0.109 0.913449    
## BMIcal               0.240182   0.214019   1.122 0.263461    
## BMIPCT              -0.037903   0.052652  -0.720 0.472666    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 8.076 on 158 degrees of freedom
## Multiple R-squared:  0.1811, Adjusted R-squared:  0.1085 
## F-statistic: 2.496 on 14 and 158 DF,  p-value: 0.003143

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4 The SuperWIN scoring system

4.1 step 1: initialization

n=dim(DASH_Score)[1]
score_tg=rep(0,n)
score_wg=rep(0,n)
score_v=rep(0,n)
score_f=rep(0,n)
score_lfd=rep(0,n)
score_m=rep(0,n)
score_n=rep(0,n)
score_o=rep(0,n)
score_s=rep(0,n)
score_na=rep(0,n)



Tfruit = (FRU0100 + FRU0200+ FRU0300+FRU0400+FRU0500+FRU0700)
Tveg = (VEG0100+VEG0200+VEG0300+VEG0400+VEG0450+VEG0600+VEG0500+FMC0100)
Tgrains = (GRW0100+GRS0100+GRR0100+GRW0200+GRS0200+GRR0200+GRW0300+GRS0300+GRR0300+GRW0400+GRS0400+GRR0400+GRW0500+GRS0500+GRR0500+GRW0600+ GRS0600+GRR0600+GRW0700+GRS0700+GRR0700+GRW1100);
Wgrain= (GRW0100 +GRW0200+ GRW0300 +GRW0400 +GRW0500+ GRW0600+ GRW0700 +GRW0800+ GRW1000 +GRW0900 +GRW1100+GRW1200)+(GRS0100 +GRS0200 +GRS0300 +GRS0400 +GRS0500+ GRS0600+ GRS0700+ GRS0800+ GRS1000 +GRS0900)/2;
Nuts= (VEG0700+MOF0500+ MOF0600)
Meat = (MRL0100+ MRL0200+ MRL0300+ MRL0400+ MCL0200+MRF0500+ MPL0100+ MFF0100+MFL0100+MSL0100+ MCL0100+ MOF0300+MOF0400+MOF0700);
Lfdairy = (DML0100 +DML0200+DML0300+DML0400+DCL0100+DYL0100+ DYL0200+FCL0100); #missing +SWT0600 +MSC1100
Fats = (FMF0100+FMR0100+FOF0100+FSF0100+FAF0100+FAR0100+FDF0100+FDR0100+MSC0100+MSC0200+MSC0300+MSC0400);
Sweets =(SWT0100+SWT0400+SWT0500+SWT0700+SWT0800+SWT0200+SWT0300+BVS0400+BVS0300+BVS0500+BVS0100+BVS0200+BVS0600+BVS0700+MSC0600);
Gna=Na/1000;

4.2 step 2: SuperWIN Scores for each subject

for (i in 1:n){
  
  if(Sex[i]==1)
  { 
    goal_tg = 9;
    goal_wg=4.5;
    goal_v=5;
    goal_f=5;
    goal_lfd=2.25;
    goal_m=6;
    goal_n=1.0;
    goal_o = 3;
    goal_s=1.0; 
  }else{
    goal_tg = 6;
    goal_wg=3;
    goal_v=4; 
    goal_f=4;
    goal_lfd=2;
    goal_m=6;
    goal_n=0.6;
    goal_o = 2;
    goal_s=0.7; 
  }

  if (Tgrains[i]>=goal_tg){
    score_tg[i]=5;
  } else {
    score_tg[i] = 5/goal_tg * Tgrains[i]
  }
  
  if (Wgrain[i]>=goal_wg) {
    score_wg[i]=5;
  } else {
    score_wg[i] = 5/goal_wg * Wgrain[i];  
  }                                                                                                      
  
  if (Tveg[i]>=goal_v) {
    score_v[i]=10;
  }  else {
    score_v[i] = 10/goal_v * Tveg[i]; 
  }                                                                                                           
  
  if (Tfruit[i]>=goal_f) {
    score_f[i]=10; 
  }   else{
    score_f[i] = 10/goal_f * Tfruit[i];   
  }                                                                                                 
  
  if (Lfdairy[i]>=goal_lfd) {
    score_lfd[i]=10;   
  } else {
    score_lfd[i] = 10/goal_lfd * Lfdairy[i];  
  }  
  
  if (Meat[i]<=goal_m){
    score_m[i]=10;  
  }else if (Meat[i]>=2*goal_m) {
   score_m[i]=0; 
  } else {
    score_m[i] = 10/goal_m * (2*goal_m - Meat[i]);  
  }
  
  if (Nuts[i]>=goal_n){
   score_n[i]=10;   
  }  else {
    score_n[i]= 10/goal_n * Nuts[i]; 
  }                                                                                                      
  
  if (Fats[i]<=goal_o){
    score_o[i]=10     
  } else if (Fats[i]>=2*goal_o){
   score_o[i]=0;   
  }  else {
    score_o[i] = 10/goal_o * (2*goal_o - Fats[i]); 
  }                                                                                                     
  
  if (Sweets[i]<=goal_s){
    score_s[i]=10;  
  } else if (Sweets[i]>=2*goal_s){
    score_s[i]=0;   
  } else {
    score_s[i] = 10/goal_s * (2*goal_s-Sweets[i]);     
  }
  
  if (Gna[i]<=2.3){
    score_na[i]=10;
  } else if (Gna[i]>3.3){
    score_na[i]=0;
  }else {
    score_na[i]=(3.3-Gna[i])*10; 
  }
  
}

DASHSC_SuperWIN= (score_tg + score_wg + score_v + score_f + score_lfd + score_m + score_n                                            
          + score_o + score_s + score_na);

Let us get a sense of first 5 SuperWIN scores.

head(DASHSC_SuperWIN,5)
## [1] 43.79941 43.03675 47.71267 29.92237 50.15139

4.3 Marginal Data Analysis

4.4 Step 1: we produce scatterplots of Gunther DASH Scores vs SBP/DBP, respectively.

par(mfrow=c(1,2))
plot(DASHSC_SuperWIN,SBP)
plot(DASHSC_SuperWIN,DBP)

4.5 Step 2: we calculate correlation (pearson, spearman and kendal) between SuperWIN DASH Scores and SBP/DBP below.

4.5.1 correlation (pearson) between SuperWIN DASH Score and SBP

data21=data.frame(DASHSC_SuperWIN,SBP)
cor(data21, use="complete.obs", method="pearson") 
##                 DASHSC_SuperWIN         SBP
## DASHSC_SuperWIN      1.00000000 -0.06400777
## SBP                 -0.06400777  1.00000000

4.5.2 correlation (spearman) between SuperWIN DASH Score and SBP

cor(data21, use="complete.obs", method="spearman") 
##                 DASHSC_SuperWIN         SBP
## DASHSC_SuperWIN      1.00000000 -0.07498156
## SBP                 -0.07498156  1.00000000

4.5.3 correlation (kendall) between SuperWIN DASH Score and SBP

cor(data21, use="complete.obs", method="kendall") 
##                 DASHSC_SuperWIN         SBP
## DASHSC_SuperWIN      1.00000000 -0.05162978
## SBP                 -0.05162978  1.00000000
data22=data.frame(DASHSC_SuperWIN,DBP)

4.5.4 correlation (pearson) between SuperWIN DASH Score and DBP

cor(data22, use="complete.obs", method="pearson") 
##                 DASHSC_SuperWIN      DBP
## DASHSC_SuperWIN         1.00000 -0.14891
## DBP                    -0.14891  1.00000

4.5.5 correlation (spearman) between SuperWIN DASH Score and DBP

cor(data22, use="complete.obs", method="spearman") 
##                 DASHSC_SuperWIN        DBP
## DASHSC_SuperWIN       1.0000000 -0.1714604
## DBP                  -0.1714604  1.0000000

4.5.6 correlation (kendall) between SuperWIN DASH Score and DBP

cor(data22, use="complete.obs", method="kendall") 
##                 DASHSC_SuperWIN        DBP
## DASHSC_SuperWIN       1.0000000 -0.1133572
## DBP                  -0.1133572  1.0000000

4.5.7 Linear Regression

We build a linear regression with SBP/DBP as response and dash score as regressor with other covariates including age, Sex, Income,HTNST,WTKG,HTM,HTPCT,BMIcal and BMIPCT.

4.5.7.1 SBP as response

We can see that dash score is not statistically significance under \(\alpha\)=0.05.

summary(l21)
## 
## Call:
## lm(formula = SBP ~ DASHSC_SuperWIN + Age + Sex + as.factor(Income) + 
##     as.factor(HTNST) + WTKG + HTM + HTPCT + BMIcal + BMIPCT, 
##     data = data21)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -11.1813  -2.0720   0.3921   2.3679  12.6119 
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        87.77912   11.01366   7.970 2.97e-13 ***
## DASHSC_SuperWIN    -0.03753    0.03000  -1.251 0.212761    
## Age                 0.88734    0.25675   3.456 0.000704 ***
## Sex                -2.75115    0.88176  -3.120 0.002150 ** 
## as.factor(Income)2  0.57437    0.83616   0.687 0.493145    
## as.factor(Income)3  1.19290    0.96523   1.236 0.218343    
## as.factor(Income)4  1.45679    0.98616   1.477 0.141604    
## as.factor(HTNST)2   8.81208    0.64700  13.620  < 2e-16 ***
## as.factor(HTNST)3  -8.50043    1.46816  -5.790 3.69e-08 ***
## as.factor(HTNST)4   8.85117    4.02435   2.199 0.029302 *  
## WTKG                0.02580    0.04121   0.626 0.532092    
## HTM                16.67393    7.56529   2.204 0.028970 *  
## HTPCT               0.03326    0.01877   1.772 0.078400 .  
## BMIcal             -0.09939    0.10121  -0.982 0.327591    
## BMIPCT             -0.01253    0.02510  -0.499 0.618288    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.819 on 158 degrees of freedom
## Multiple R-squared:  0.7446, Adjusted R-squared:  0.722 
## F-statistic: 32.91 on 14 and 158 DF,  p-value: < 2.2e-16

4.5.7.2 DBP as response

We can see that dash score is not statistically significance under \(\alpha\)=0.05.

summary(l22)
## 
## Call:
## lm(formula = DBP ~ DASHSC_SuperWIN + Age + Sex + as.factor(Income) + 
##     as.factor(HTNST) + WTKG + HTM + HTPCT + BMIcal + BMIPCT, 
##     data = data22)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -22.5767  -4.5183   0.8055   6.0156  15.2107 
## 
## Coefficients:
##                      Estimate Std. Error t value Pr(>|t|)    
## (Intercept)         80.398265  23.298800   3.451 0.000717 ***
## DASHSC_SuperWIN     -0.084045   0.063460  -1.324 0.187292    
## Age                  1.341822   0.543149   2.470 0.014557 *  
## Sex                  0.039334   1.865316   0.021 0.983203    
## as.factor(Income)2  -1.704640   1.768851  -0.964 0.336669    
## as.factor(Income)3  -0.872004   2.041897  -0.427 0.669920    
## as.factor(Income)4  -0.195594   2.086174  -0.094 0.925421    
## as.factor(HTNST)2    2.822159   1.368693   2.062 0.040852 *  
## as.factor(HTNST)3   -2.673394   3.105820  -0.861 0.390670    
## as.factor(HTNST)4   19.172508   8.513304   2.252 0.025696 *  
## WTKG                -0.049301   0.087176  -0.566 0.572511    
## HTM                -13.598562  16.003958  -0.850 0.396778    
## HTPCT                0.005579   0.039716   0.140 0.888455    
## BMIcal               0.244297   0.214114   1.141 0.255609    
## BMIPCT              -0.032710   0.053105  -0.616 0.538814    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 8.079 on 158 degrees of freedom
## Multiple R-squared:  0.1804, Adjusted R-squared:  0.1078 
## F-statistic: 2.485 on 14 and 158 DF,  p-value: 0.003286
par(mfrow=c(2,2))
plot(DASHSC_SuperWIN,SBP)
plot(DASHSC_SuperWIN,DBP)
plot(DASHSC_Gunther,SBP)
plot(DASHSC_Gunther,DBP)

plot(DASHSC_Gunther,DASHSC_SuperWIN)

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5 References