Data Processing and its Features

data<-read.csv("/Users/nabinwon/Downloads/oasis_longitudinal.csv")
head(data)
##   Subject.ID        MRI.ID       Group Visit MR.Delay M.F Hand Age EDUC SES
## 1  OAS2_0001 OAS2_0001_MR1 Nondemented     1        0   M    R  87   14   2
## 2  OAS2_0001 OAS2_0001_MR2 Nondemented     2      457   M    R  88   14   2
## 3  OAS2_0002 OAS2_0002_MR1    Demented     1        0   M    R  75   12  NA
## 4  OAS2_0002 OAS2_0002_MR2    Demented     2      560   M    R  76   12  NA
## 5  OAS2_0002 OAS2_0002_MR3    Demented     3     1895   M    R  80   12  NA
## 6  OAS2_0004 OAS2_0004_MR1 Nondemented     1        0   F    R  88   18   3
##   MMSE CDR eTIV  nWBV   ASF
## 1   27 0.0 1987 0.696 0.883
## 2   30 0.0 2004 0.681 0.876
## 3   23 0.5 1678 0.736 1.046
## 4   28 0.5 1738 0.713 1.010
## 5   22 0.5 1698 0.701 1.034
## 6   28 0.0 1215 0.710 1.444

Research Question

Does the socioeconomic status of an individual increase the risk of developing Alzheimer’s?

Independent Variable: Socioeconomic status Dependent Variable: Risk of developing Alzheimer’s

I will be utilizing a box plot to visualize my data, as the socio economic status are organized into categories (1,2,3,4,5) while the dependent variable is a numerical value.

데이터 처리(Extracting Null Values)

data<-na.omit(data)
print(data)
##     Subject.ID        MRI.ID       Group Visit MR.Delay M.F Hand Age EDUC SES
## 1    OAS2_0001 OAS2_0001_MR1 Nondemented     1        0   M    R  87   14   2
## 2    OAS2_0001 OAS2_0001_MR2 Nondemented     2      457   M    R  88   14   2
## 6    OAS2_0004 OAS2_0004_MR1 Nondemented     1        0   F    R  88   18   3
## 7    OAS2_0004 OAS2_0004_MR2 Nondemented     2      538   F    R  90   18   3
## 8    OAS2_0005 OAS2_0005_MR1 Nondemented     1        0   M    R  80   12   4
## 9    OAS2_0005 OAS2_0005_MR2 Nondemented     2     1010   M    R  83   12   4
## 10   OAS2_0005 OAS2_0005_MR3 Nondemented     3     1603   M    R  85   12   4
## 14   OAS2_0008 OAS2_0008_MR1 Nondemented     1        0   F    R  93   14   2
## 15   OAS2_0008 OAS2_0008_MR2 Nondemented     2      742   F    R  95   14   2
## 16   OAS2_0009 OAS2_0009_MR1    Demented     1        0   M    R  68   12   2
## 17   OAS2_0009 OAS2_0009_MR2    Demented     2      576   M    R  69   12   2
## 18   OAS2_0010 OAS2_0010_MR1    Demented     1        0   F    R  66   12   3
## 19   OAS2_0010 OAS2_0010_MR2    Demented     2      854   F    R  68   12   3
## 20   OAS2_0012 OAS2_0012_MR1 Nondemented     1        0   F    R  78   16   2
## 21   OAS2_0012 OAS2_0012_MR2 Nondemented     2      730   F    R  80   16   2
## 22   OAS2_0012 OAS2_0012_MR3 Nondemented     3     1598   F    R  83   16   2
## 23   OAS2_0013 OAS2_0013_MR1 Nondemented     1        0   F    R  81   12   4
## 24   OAS2_0013 OAS2_0013_MR2 Nondemented     2      643   F    R  82   12   4
## 25   OAS2_0013 OAS2_0013_MR3 Nondemented     3     1456   F    R  85   12   4
## 26   OAS2_0014 OAS2_0014_MR1    Demented     1        0   M    R  76   16   3
## 27   OAS2_0014 OAS2_0014_MR2    Demented     2      504   M    R  77   16   3
## 28   OAS2_0016 OAS2_0016_MR1    Demented     1        0   M    R  88    8   4
## 29   OAS2_0016 OAS2_0016_MR2    Demented     2      707   M    R  90    8   4
## 30   OAS2_0017 OAS2_0017_MR1 Nondemented     1        0   M    R  80   12   3
## 31   OAS2_0017 OAS2_0017_MR3 Nondemented     3      617   M    R  81   12   3
## 32   OAS2_0017 OAS2_0017_MR4 Nondemented     4     1861   M    R  85   12   3
## 33   OAS2_0017 OAS2_0017_MR5 Nondemented     5     2400   M    R  86   12   3
## 34   OAS2_0018 OAS2_0018_MR1   Converted     1        0   F    R  87   14   1
## 35   OAS2_0018 OAS2_0018_MR3   Converted     3      489   F    R  88   14   1
## 36   OAS2_0018 OAS2_0018_MR4   Converted     4     1933   F    R  92   14   1
## 37   OAS2_0020 OAS2_0020_MR1   Converted     1        0   M    R  80   20   1
## 38   OAS2_0020 OAS2_0020_MR2   Converted     2      756   M    R  82   20   1
## 39   OAS2_0020 OAS2_0020_MR3   Converted     3     1563   M    R  84   20   1
## 40   OAS2_0021 OAS2_0021_MR1    Demented     1        0   M    R  72   20   1
## 41   OAS2_0021 OAS2_0021_MR2    Demented     2     1164   M    R  76   20   1
## 42   OAS2_0022 OAS2_0022_MR1 Nondemented     1        0   F    R  61   16   3
## 43   OAS2_0022 OAS2_0022_MR2 Nondemented     2      828   F    R  64   16   3
## 44   OAS2_0023 OAS2_0023_MR1    Demented     1        0   F    R  86   12   4
## 45   OAS2_0023 OAS2_0023_MR2    Demented     2      578   F    R  87   12   4
## 46   OAS2_0026 OAS2_0026_MR1    Demented     1        0   M    R  82   12   3
## 47   OAS2_0026 OAS2_0026_MR2    Demented     2      673   M    R  84   12   3
## 48   OAS2_0027 OAS2_0027_MR1 Nondemented     1        0   F    R  69   12   3
## 49   OAS2_0027 OAS2_0027_MR2 Nondemented     2      609   F    R  71   12   3
## 50   OAS2_0027 OAS2_0027_MR3 Nondemented     3     1234   F    R  73   12   3
## 51   OAS2_0027 OAS2_0027_MR4 Nondemented     4     1779   F    R  74   12   3
## 52   OAS2_0028 OAS2_0028_MR1    Demented     1        0   M    R  64   18   2
## 53   OAS2_0028 OAS2_0028_MR2    Demented     2      610   M    R  66   18   2
## 54   OAS2_0029 OAS2_0029_MR1 Nondemented     1        0   F    R  77   12   4
## 55   OAS2_0029 OAS2_0029_MR2 Nondemented     2     1099   F    R  80   12   4
## 56   OAS2_0030 OAS2_0030_MR1 Nondemented     1        0   F    R  60   18   1
## 57   OAS2_0030 OAS2_0030_MR2 Nondemented     2      932   F    R  62   18   1
## 58   OAS2_0031 OAS2_0031_MR1   Converted     1        0   F    R  86   12   3
## 59   OAS2_0031 OAS2_0031_MR2   Converted     2      446   F    R  88   12   3
## 60   OAS2_0031 OAS2_0031_MR3   Converted     3     1588   F    R  91   12   3
## 61   OAS2_0032 OAS2_0032_MR1    Demented     1        0   M    R  90   12   3
## 62   OAS2_0032 OAS2_0032_MR2    Demented     2      642   M    R  92   12   3
## 63   OAS2_0034 OAS2_0034_MR1 Nondemented     1        0   F    R  79   16   1
## 64   OAS2_0034 OAS2_0034_MR2 Nondemented     2      489   F    R  80   16   1
## 65   OAS2_0034 OAS2_0034_MR3 Nondemented     3     1287   F    R  82   16   1
## 66   OAS2_0034 OAS2_0034_MR4 Nondemented     4     1884   F    R  84   16   1
## 67   OAS2_0035 OAS2_0035_MR1 Nondemented     1        0   F    R  88   12   4
## 68   OAS2_0035 OAS2_0035_MR2 Nondemented     2      405   F    R  89   12   4
## 69   OAS2_0036 OAS2_0036_MR1 Nondemented     1        0   F    R  69   13   4
## 70   OAS2_0036 OAS2_0036_MR3 Nondemented     3      713   F    R  70   13   4
## 71   OAS2_0036 OAS2_0036_MR4 Nondemented     4     1770   F    R  73   13   4
## 72   OAS2_0036 OAS2_0036_MR5 Nondemented     5     2369   F    R  75   13   4
## 73   OAS2_0037 OAS2_0037_MR1    Demented     1        0   M    R  82   12   4
## 74   OAS2_0037 OAS2_0037_MR2    Demented     2     1123   M    R  85   12   4
## 75   OAS2_0037 OAS2_0037_MR3    Demented     3     2029   M    R  88   12   4
## 76   OAS2_0037 OAS2_0037_MR4    Demented     4     2508   M    R  89   12   4
## 77   OAS2_0039 OAS2_0039_MR1    Demented     1        0   F    R  81   18   2
## 78   OAS2_0039 OAS2_0039_MR2    Demented     2      486   F    R  83   18   2
## 79   OAS2_0040 OAS2_0040_MR1    Demented     1        0   M    R  84    6   4
## 80   OAS2_0040 OAS2_0040_MR2    Demented     2      567   M    R  86    6   4
## 81   OAS2_0040 OAS2_0040_MR3    Demented     3     1204   M    R  88    6   4
## 82   OAS2_0041 OAS2_0041_MR1   Converted     1        0   F    R  71   16   1
## 83   OAS2_0041 OAS2_0041_MR2   Converted     2      756   F    R  73   16   1
## 84   OAS2_0041 OAS2_0041_MR3   Converted     3     1331   F    R  75   16   1
## 85   OAS2_0042 OAS2_0042_MR1 Nondemented     1        0   F    R  70   17   3
## 86   OAS2_0042 OAS2_0042_MR2 Nondemented     2     1008   F    R  73   17   3
## 87   OAS2_0043 OAS2_0043_MR1    Demented     1        0   F    R  72   12   4
## 88   OAS2_0043 OAS2_0043_MR2    Demented     2      491   F    R  73   12   4
## 89   OAS2_0044 OAS2_0044_MR1    Demented     1        0   M    R  68   14   4
## 90   OAS2_0044 OAS2_0044_MR2    Demented     2      352   M    R  69   14   4
## 91   OAS2_0044 OAS2_0044_MR3    Demented     3      866   M    R  71   14   4
## 92   OAS2_0045 OAS2_0045_MR1 Nondemented     1        0   F    R  75   18   1
## 93   OAS2_0045 OAS2_0045_MR2 Nondemented     2      689   F    R  77   18   1
## 94   OAS2_0046 OAS2_0046_MR1    Demented     1        0   F    R  83   15   2
## 95   OAS2_0046 OAS2_0046_MR2    Demented     2      575   F    R  85   15   2
## 96   OAS2_0047 OAS2_0047_MR1 Nondemented     1        0   F    R  77   16   2
## 97   OAS2_0047 OAS2_0047_MR2 Nondemented     2      486   F    R  78   16   2
## 98   OAS2_0048 OAS2_0048_MR1    Demented     1        0   M    R  66   16   1
## 99   OAS2_0048 OAS2_0048_MR2    Demented     2      248   M    R  66   16   1
## 100  OAS2_0048 OAS2_0048_MR3    Demented     3      647   M    R  68   16   1
## 101  OAS2_0048 OAS2_0048_MR4    Demented     4      970   M    R  68   16   1
## 102  OAS2_0048 OAS2_0048_MR5    Demented     5     1233   M    R  69   16   1
## 103  OAS2_0049 OAS2_0049_MR1 Nondemented     1        0   F    R  69   16   3
## 104  OAS2_0049 OAS2_0049_MR2 Nondemented     2      395   F    R  70   16   3
## 105  OAS2_0049 OAS2_0049_MR3 Nondemented     3      687   F    R  71   16   3
## 106  OAS2_0050 OAS2_0050_MR1    Demented     1        0   M    R  71   12   4
## 107  OAS2_0050 OAS2_0050_MR2    Demented     2      538   M    R  72   12   4
## 108  OAS2_0051 OAS2_0051_MR1 Nondemented     1        0   F    R  92   23   1
## 109  OAS2_0051 OAS2_0051_MR2 Nondemented     2      457   F    R  94   23   1
## 110  OAS2_0051 OAS2_0051_MR3 Nondemented     3     1526   F    R  97   23   1
## 111  OAS2_0052 OAS2_0052_MR1 Nondemented     1        0   M    R  74   18   2
## 112  OAS2_0052 OAS2_0052_MR2 Nondemented     2     1510   M    R  78   18   2
## 113  OAS2_0053 OAS2_0053_MR1 Nondemented     1        0   F    R  82   16   3
## 114  OAS2_0053 OAS2_0053_MR2 Nondemented     2      842   F    R  84   16   3
## 115  OAS2_0054 OAS2_0054_MR1   Converted     1        0   F    R  85   18   1
## 116  OAS2_0054 OAS2_0054_MR2   Converted     2      846   F    R  87   18   1
## 117  OAS2_0055 OAS2_0055_MR1 Nondemented     1        0   M    R  65   13   3
## 118  OAS2_0055 OAS2_0055_MR2 Nondemented     2      726   M    R  67   13   3
## 119  OAS2_0056 OAS2_0056_MR1 Nondemented     1        0   F    R  71   14   2
## 120  OAS2_0056 OAS2_0056_MR2 Nondemented     2      622   F    R  73   14   2
## 121  OAS2_0057 OAS2_0057_MR1 Nondemented     1        0   F    R  81   12   2
## 122  OAS2_0057 OAS2_0057_MR2 Nondemented     2      640   F    R  83   12   2
## 123  OAS2_0057 OAS2_0057_MR3 Nondemented     3     1340   F    R  85   12   2
## 124  OAS2_0058 OAS2_0058_MR1    Demented     1        0   M    R  78   14   3
## 125  OAS2_0058 OAS2_0058_MR2    Demented     2      212   M    R  79   14   3
## 126  OAS2_0058 OAS2_0058_MR3    Demented     3      764   M    R  80   14   3
## 127  OAS2_0060 OAS2_0060_MR1    Demented     1        0   M    R  75   13   4
## 128  OAS2_0060 OAS2_0060_MR2    Demented     2     1290   M    R  78   13   4
## 129  OAS2_0061 OAS2_0061_MR1 Nondemented     1        0   M    R  68   18   1
## 130  OAS2_0061 OAS2_0061_MR2 Nondemented     2      873   M    R  70   18   1
## 131  OAS2_0061 OAS2_0061_MR3 Nondemented     3     1651   M    R  72   18   1
## 132  OAS2_0062 OAS2_0062_MR1 Nondemented     1        0   F    R  79   18   2
## 133  OAS2_0062 OAS2_0062_MR2 Nondemented     2      723   F    R  81   18   2
## 134  OAS2_0062 OAS2_0062_MR3 Nondemented     3     1351   F    R  83   18   2
## 137  OAS2_0064 OAS2_0064_MR1    Demented     1        0   F    R  78    8   5
## 138  OAS2_0064 OAS2_0064_MR2    Demented     2      830   F    R  81    8   5
## 139  OAS2_0064 OAS2_0064_MR3    Demented     3     1282   F    R  82    8   5
## 140  OAS2_0066 OAS2_0066_MR1    Demented     1        0   M    R  61   18   1
## 141  OAS2_0066 OAS2_0066_MR2    Demented     2      497   M    R  62   18   1
## 142  OAS2_0067 OAS2_0067_MR1 Nondemented     1        0   M    R  67   12   4
## 143  OAS2_0067 OAS2_0067_MR2 Nondemented     2      451   M    R  68   12   4
## 144  OAS2_0067 OAS2_0067_MR3 Nondemented     3     1438   M    R  71   12   4
## 145  OAS2_0067 OAS2_0067_MR4 Nondemented     4     2163   M    R  73   12   4
## 146  OAS2_0068 OAS2_0068_MR1 Nondemented     1        0   F    R  88   12   3
## 147  OAS2_0068 OAS2_0068_MR2 Nondemented     2      743   F    R  90   12   3
## 148  OAS2_0069 OAS2_0069_MR1 Nondemented     1        0   F    R  81   18   2
## 149  OAS2_0069 OAS2_0069_MR2 Nondemented     2      432   F    R  82   18   2
## 150  OAS2_0070 OAS2_0070_MR1 Nondemented     1        0   M    R  80   17   1
## 151  OAS2_0070 OAS2_0070_MR2 Nondemented     2      672   M    R  82   17   1
## 152  OAS2_0070 OAS2_0070_MR3 Nondemented     3     1415   M    R  84   17   1
## 153  OAS2_0070 OAS2_0070_MR4 Nondemented     4     1870   M    R  85   17   1
## 154  OAS2_0070 OAS2_0070_MR5 Nondemented     5     2386   M    R  86   17   1
## 155  OAS2_0071 OAS2_0071_MR1    Demented     1        0   F    R  83   13   2
## 156  OAS2_0071 OAS2_0071_MR2    Demented     2      365   F    R  84   13   2
## 157  OAS2_0073 OAS2_0073_MR1 Nondemented     1        0   F    R  70   14   3
## 158  OAS2_0073 OAS2_0073_MR2 Nondemented     2      580   F    R  72   14   3
## 159  OAS2_0073 OAS2_0073_MR3 Nondemented     3     1705   F    R  75   14   3
## 160  OAS2_0073 OAS2_0073_MR4 Nondemented     4     2288   F    R  76   14   3
## 161  OAS2_0073 OAS2_0073_MR5 Nondemented     5     2517   F    R  77   14   3
## 162  OAS2_0075 OAS2_0075_MR1    Demented     1        0   F    R  73    8   5
## 163  OAS2_0075 OAS2_0075_MR2    Demented     2      567   F    R  75    8   5
## 164  OAS2_0076 OAS2_0076_MR1 Nondemented     1        0   F    R  66   18   2
## 165  OAS2_0076 OAS2_0076_MR2 Nondemented     2      956   F    R  69   18   2
## 166  OAS2_0076 OAS2_0076_MR3 Nondemented     3     1663   F    R  71   18   2
## 167  OAS2_0077 OAS2_0077_MR1 Nondemented     1        0   M    R  69   16   2
## 168  OAS2_0077 OAS2_0077_MR2 Nondemented     2     1393   M    R  73   16   2
## 169  OAS2_0078 OAS2_0078_MR1 Nondemented     1        0   M    R  89   16   1
## 170  OAS2_0078 OAS2_0078_MR2 Nondemented     2      441   M    R  91   16   1
## 171  OAS2_0078 OAS2_0078_MR3 Nondemented     3     1019   M    R  92   16   1
## 172  OAS2_0079 OAS2_0079_MR1    Demented     1        0   F    R  69   12   4
## 173  OAS2_0079 OAS2_0079_MR2    Demented     2      584   F    R  71   12   4
## 174  OAS2_0079 OAS2_0079_MR3    Demented     3     1435   F    R  73   12   4
## 175  OAS2_0080 OAS2_0080_MR1    Demented     1        0   M    R  66   15   2
## 176  OAS2_0080 OAS2_0080_MR2    Demented     2      580   M    R  68   15   2
## 177  OAS2_0080 OAS2_0080_MR3    Demented     3     1209   M    R  69   15   2
## 178  OAS2_0081 OAS2_0081_MR1    Demented     1        0   F    R  82   12   4
## 179  OAS2_0081 OAS2_0081_MR2    Demented     2      659   F    R  84   12   4
## 180  OAS2_0085 OAS2_0085_MR1 Nondemented     1        0   F    R  78    8   5
## 181  OAS2_0085 OAS2_0085_MR2 Nondemented     2      670   F    R  80    8   5
## 182  OAS2_0086 OAS2_0086_MR1 Nondemented     1        0   F    R  63   15   2
## 183  OAS2_0086 OAS2_0086_MR2 Nondemented     2      802   F    R  65   15   2
## 184  OAS2_0087 OAS2_0087_MR1    Demented     1        0   F    R  96   17   1
## 185  OAS2_0087 OAS2_0087_MR2    Demented     2      754   F    R  98   17   1
## 186  OAS2_0088 OAS2_0088_MR1    Demented     1        0   M    R  78   12   4
## 187  OAS2_0088 OAS2_0088_MR2    Demented     2      751   M    R  80   12   4
## 188  OAS2_0089 OAS2_0089_MR1    Demented     1        0   M    R  70   12   2
## 189  OAS2_0089 OAS2_0089_MR3    Demented     3      563   M    R  72   12   2
## 190  OAS2_0090 OAS2_0090_MR1 Nondemented     1        0   M    R  73   18   2
## 191  OAS2_0090 OAS2_0090_MR2 Nondemented     2      680   M    R  75   18   2
## 192  OAS2_0090 OAS2_0090_MR3 Nondemented     3     1345   M    R  76   18   2
## 193  OAS2_0091 OAS2_0091_MR1 Nondemented     1        0   M    R  75   12   4
## 194  OAS2_0091 OAS2_0091_MR2 Nondemented     2     1047   M    R  78   12   4
## 195  OAS2_0092 OAS2_0092_MR1   Converted     1        0   F    R  83   12   2
## 196  OAS2_0092 OAS2_0092_MR2   Converted     2      706   F    R  84   12   2
## 197  OAS2_0094 OAS2_0094_MR1 Nondemented     1        0   F    R  61   16   1
## 198  OAS2_0094 OAS2_0094_MR2 Nondemented     2      817   F    R  63   16   1
## 199  OAS2_0095 OAS2_0095_MR1 Nondemented     1        0   M    R  71   18   1
## 200  OAS2_0095 OAS2_0095_MR2 Nondemented     2      673   M    R  72   18   1
## 201  OAS2_0095 OAS2_0095_MR3 Nondemented     3     1412   M    R  74   18   1
## 202  OAS2_0096 OAS2_0096_MR1 Nondemented     1        0   F    R  89   13   3
## 203  OAS2_0096 OAS2_0096_MR2 Nondemented     2      778   F    R  91   13   3
## 204  OAS2_0097 OAS2_0097_MR1 Nondemented     1        0   M    R  74   16   2
## 205  OAS2_0097 OAS2_0097_MR2 Nondemented     2     1024   M    R  77   16   2
## 206  OAS2_0098 OAS2_0098_MR1    Demented     1        0   M    R  66   12   4
## 207  OAS2_0098 OAS2_0098_MR2    Demented     2      661   M    R  67   12   4
## 210  OAS2_0100 OAS2_0100_MR1 Nondemented     1        0   F    R  77   11   4
## 211  OAS2_0100 OAS2_0100_MR2 Nondemented     2     1218   F    R  80   11   4
## 212  OAS2_0100 OAS2_0100_MR3 Nondemented     3     1752   F    R  82   11   4
## 213  OAS2_0101 OAS2_0101_MR1 Nondemented     1        0   F    R  71   18   2
## 214  OAS2_0101 OAS2_0101_MR2 Nondemented     2      952   F    R  74   18   2
## 215  OAS2_0101 OAS2_0101_MR3 Nondemented     3     1631   F    R  76   18   2
## 216  OAS2_0102 OAS2_0102_MR1    Demented     1        0   M    R  82   15   3
## 217  OAS2_0102 OAS2_0102_MR2    Demented     2      610   M    R  84   15   3
## 218  OAS2_0102 OAS2_0102_MR3    Demented     3     1387   M    R  86   15   3
## 219  OAS2_0103 OAS2_0103_MR1   Converted     1        0   F    R  69   16   1
## 220  OAS2_0103 OAS2_0103_MR2   Converted     2     1554   F    R  74   16   1
## 221  OAS2_0103 OAS2_0103_MR3   Converted     3     2002   F    R  75   16   1
## 222  OAS2_0104 OAS2_0104_MR1    Demented     1        0   M    R  70   16   1
## 223  OAS2_0104 OAS2_0104_MR2    Demented     2      465   M    R  71   16   1
## 224  OAS2_0105 OAS2_0105_MR1 Nondemented     1        0   M    R  86   12   4
## 225  OAS2_0105 OAS2_0105_MR2 Nondemented     2      675   M    R  87   12   4
## 226  OAS2_0106 OAS2_0106_MR1    Demented     1        0   F    R  70   11   4
## 227  OAS2_0106 OAS2_0106_MR2    Demented     2      729   F    R  72   11   4
## 228  OAS2_0108 OAS2_0108_MR1    Demented     1        0   M    R  77   18   1
## 229  OAS2_0108 OAS2_0108_MR2    Demented     2      883   M    R  79   18   1
## 230  OAS2_0109 OAS2_0109_MR1 Nondemented     1        0   M    R  81   11   4
## 231  OAS2_0109 OAS2_0109_MR2 Nondemented     2      766   M    R  83   11   4
## 232  OAS2_0111 OAS2_0111_MR1    Demented     1        0   M    R  62   12   4
## 233  OAS2_0111 OAS2_0111_MR2    Demented     2      881   M    R  65   12   4
## 234  OAS2_0112 OAS2_0112_MR1    Demented     1        0   F    R  76   12   3
## 235  OAS2_0112 OAS2_0112_MR2    Demented     2      558   F    R  78   12   3
## 236  OAS2_0113 OAS2_0113_MR1    Demented     1        0   F    R  73   13   2
## 237  OAS2_0113 OAS2_0113_MR2    Demented     2      504   F    R  75   13   2
## 240  OAS2_0116 OAS2_0116_MR1    Demented     1        0   F    R  73   12   3
## 241  OAS2_0116 OAS2_0116_MR2    Demented     2      616   F    R  75   12   3
## 242  OAS2_0117 OAS2_0117_MR1 Nondemented     1        0   M    R  73   20   2
## 243  OAS2_0117 OAS2_0117_MR2 Nondemented     2      576   M    R  74   20   2
## 244  OAS2_0117 OAS2_0117_MR3 Nondemented     3     1345   M    R  76   20   2
## 245  OAS2_0117 OAS2_0117_MR4 Nondemented     4     1927   M    R  78   20   2
## 246  OAS2_0118 OAS2_0118_MR1   Converted     1        0   F    R  67   14   4
## 247  OAS2_0118 OAS2_0118_MR2   Converted     2     1422   F    R  71   14   4
## 248  OAS2_0119 OAS2_0119_MR1 Nondemented     1        0   F    R  81   15   2
## 249  OAS2_0119 OAS2_0119_MR2 Nondemented     2      733   F    R  83   15   2
## 250  OAS2_0119 OAS2_0119_MR3 Nondemented     3     1713   F    R  85   15   2
## 251  OAS2_0120 OAS2_0120_MR1    Demented     1        0   F    R  76   14   3
## 252  OAS2_0120 OAS2_0120_MR2    Demented     2      595   F    R  78   14   3
## 253  OAS2_0121 OAS2_0121_MR1 Nondemented     1        0   F    R  73   11   4
## 254  OAS2_0121 OAS2_0121_MR2 Nondemented     2      647   F    R  74   11   4
## 255  OAS2_0122 OAS2_0122_MR1 Nondemented     1        0   F    R  86   16   3
## 256  OAS2_0122 OAS2_0122_MR2 Nondemented     2      597   F    R  88   16   3
## 257  OAS2_0124 OAS2_0124_MR1    Demented     1        0   M    R  70   16   3
## 258  OAS2_0124 OAS2_0124_MR2    Demented     2      472   M    R  71   16   3
## 259  OAS2_0126 OAS2_0126_MR1 Nondemented     1        0   F    R  74   12   3
## 260  OAS2_0126 OAS2_0126_MR2 Nondemented     2      472   F    R  75   12   3
## 261  OAS2_0126 OAS2_0126_MR3 Nondemented     3     1192   F    R  77   12   3
## 262  OAS2_0127 OAS2_0127_MR1   Converted     1        0   M    R  79   18   1
## 263  OAS2_0127 OAS2_0127_MR2   Converted     2      851   M    R  81   18   1
## 264  OAS2_0127 OAS2_0127_MR3   Converted     3     1042   M    R  81   18   1
## 265  OAS2_0127 OAS2_0127_MR4   Converted     4     2153   M    R  84   18   1
## 266  OAS2_0127 OAS2_0127_MR5   Converted     5     2639   M    R  86   18   1
## 267  OAS2_0128 OAS2_0128_MR1 Nondemented     1        0   F    R  76   16   1
## 268  OAS2_0128 OAS2_0128_MR2 Nondemented     2     1140   F    R  79   16   1
## 269  OAS2_0129 OAS2_0129_MR1 Nondemented     1        0   F    R  78   18   1
## 270  OAS2_0129 OAS2_0129_MR2 Nondemented     2      737   F    R  80   18   1
## 271  OAS2_0129 OAS2_0129_MR3 Nondemented     3     1591   F    R  82   18   1
## 272  OAS2_0131 OAS2_0131_MR1   Converted     1        0   F    R  65   12   2
## 273  OAS2_0131 OAS2_0131_MR2   Converted     2      679   F    R  67   12   2
## 274  OAS2_0133 OAS2_0133_MR1   Converted     1        0   F    R  78   12   3
## 275  OAS2_0133 OAS2_0133_MR3   Converted     3     1006   F    R  81   12   3
## 276  OAS2_0134 OAS2_0134_MR1    Demented     1        0   F    R  70   11   4
## 277  OAS2_0134 OAS2_0134_MR2    Demented     2      539   F    R  71   11   4
## 278  OAS2_0135 OAS2_0135_MR1 Nondemented     1        0   M    R  74   18   2
## 279  OAS2_0135 OAS2_0135_MR2 Nondemented     2     1146   M    R  78   18   2
## 280  OAS2_0137 OAS2_0137_MR1    Demented     1        0   M    R  74   18   2
## 281  OAS2_0137 OAS2_0137_MR2    Demented     2      636   M    R  75   18   2
## 282  OAS2_0138 OAS2_0138_MR1 Nondemented     1        0   F    R  73   16   2
## 283  OAS2_0138 OAS2_0138_MR2 Nondemented     2      846   F    R  75   16   2
## 284  OAS2_0139 OAS2_0139_MR1    Demented     1        0   F    R  67   16   1
## 285  OAS2_0139 OAS2_0139_MR2    Demented     2      403   F    R  68   16   1
## 286  OAS2_0140 OAS2_0140_MR1    Demented     1        0   F    R  76   16   3
## 287  OAS2_0140 OAS2_0140_MR2    Demented     2      793   F    R  78   16   3
## 288  OAS2_0140 OAS2_0140_MR3    Demented     3     1655   F    R  81   16   3
## 289  OAS2_0141 OAS2_0141_MR1 Nondemented     1        0   F    R  65   18   2
## 290  OAS2_0141 OAS2_0141_MR2 Nondemented     2     1022   F    R  68   18   2
## 291  OAS2_0142 OAS2_0142_MR1 Nondemented     1        0   F    R  69   16   3
## 292  OAS2_0142 OAS2_0142_MR2 Nondemented     2      665   F    R  71   16   3
## 293  OAS2_0143 OAS2_0143_MR1 Nondemented     1        0   F    R  89   18   2
## 294  OAS2_0143 OAS2_0143_MR2 Nondemented     2      561   F    R  91   18   2
## 295  OAS2_0143 OAS2_0143_MR3 Nondemented     3     1553   F    R  93   18   2
## 296  OAS2_0144 OAS2_0144_MR1   Converted     1        0   M    R  77   16   1
## 297  OAS2_0144 OAS2_0144_MR2   Converted     2      683   M    R  79   16   1
## 298  OAS2_0145 OAS2_0145_MR1   Converted     1        0   F    R  68   16   3
## 299  OAS2_0145 OAS2_0145_MR2   Converted     2     1707   F    R  73   16   3
## 300  OAS2_0146 OAS2_0146_MR1    Demented     1        0   F    R  80   15   2
## 301  OAS2_0146 OAS2_0146_MR2    Demented     2      525   F    R  82   15   2
## 302  OAS2_0147 OAS2_0147_MR1 Nondemented     1        0   F    R  77   13   2
## 303  OAS2_0147 OAS2_0147_MR2 Nondemented     2      440   F    R  78   13   2
## 304  OAS2_0147 OAS2_0147_MR3 Nondemented     3     1204   F    R  80   13   2
## 305  OAS2_0147 OAS2_0147_MR4 Nondemented     4     1806   F    R  82   13   2
## 306  OAS2_0149 OAS2_0149_MR1 Nondemented     1        0   F    R  81   13   2
## 307  OAS2_0149 OAS2_0149_MR2 Nondemented     2      674   F    R  83   13   2
## 308  OAS2_0150 OAS2_0150_MR1    Demented     1        0   F    R  73   12   3
## 309  OAS2_0150 OAS2_0150_MR2    Demented     2      518   F    R  75   12   3
## 310  OAS2_0152 OAS2_0152_MR1 Nondemented     1        0   F    R  66   18   2
## 311  OAS2_0152 OAS2_0152_MR2 Nondemented     2      790   F    R  68   18   2
## 312  OAS2_0152 OAS2_0152_MR3 Nondemented     3     1329   F    R  69   18   2
## 313  OAS2_0154 OAS2_0154_MR1 Nondemented     1        0   F    R  75   18   1
## 314  OAS2_0154 OAS2_0154_MR2 Nondemented     2      791   F    R  77   18   1
## 315  OAS2_0156 OAS2_0156_MR1 Nondemented     1        0   F    R  78   18   1
## 316  OAS2_0156 OAS2_0156_MR2 Nondemented     2      777   F    R  81   18   1
## 317  OAS2_0157 OAS2_0157_MR1    Demented     1        0   F    R  73   12   2
## 318  OAS2_0157 OAS2_0157_MR2    Demented     2      764   F    R  75   12   2
## 319  OAS2_0158 OAS2_0158_MR1 Nondemented     1        0   F    R  73   15   4
## 320  OAS2_0158 OAS2_0158_MR2 Nondemented     2     1399   F    R  76   15   4
## 321  OAS2_0159 OAS2_0159_MR1    Demented     1        0   F    R  73   14   3
## 322  OAS2_0159 OAS2_0159_MR2    Demented     2      759   F    R  76   14   3
## 325  OAS2_0161 OAS2_0161_MR1 Nondemented     1        0   M    R  77   16   1
## 326  OAS2_0161 OAS2_0161_MR2 Nondemented     2      454   M    R  79   16   1
## 327  OAS2_0161 OAS2_0161_MR3 Nondemented     3     1033   M    R  80   16   1
## 328  OAS2_0162 OAS2_0162_MR1    Demented     1        0   M    R  82   14   2
## 329  OAS2_0162 OAS2_0162_MR2    Demented     2      621   M    R  84   14   2
## 330  OAS2_0164 OAS2_0164_MR1    Demented     1        0   M    R  77   20   1
## 331  OAS2_0164 OAS2_0164_MR2    Demented     2      580   M    R  79   20   1
## 332  OAS2_0165 OAS2_0165_MR1    Demented     1        0   M    R  78   12   3
## 333  OAS2_0165 OAS2_0165_MR2    Demented     2      736   M    R  80   12   3
## 334  OAS2_0169 OAS2_0169_MR1 Nondemented     1        0   F    R  71   18   1
## 335  OAS2_0169 OAS2_0169_MR2 Nondemented     2      691   F    R  73   18   1
## 336  OAS2_0171 OAS2_0171_MR1 Nondemented     1        0   M    R  76   16   3
## 337  OAS2_0171 OAS2_0171_MR2 Nondemented     2      493   M    R  77   16   3
## 338  OAS2_0171 OAS2_0171_MR3 Nondemented     3     1695   M    R  81   16   3
## 339  OAS2_0172 OAS2_0172_MR1    Demented     1        0   M    R  75   16   1
## 340  OAS2_0172 OAS2_0172_MR2    Demented     2     1212   M    R  79   16   1
## 341  OAS2_0174 OAS2_0174_MR1 Nondemented     1        0   M    R  60   12   4
## 342  OAS2_0174 OAS2_0174_MR2 Nondemented     2      695   M    R  62   12   4
## 343  OAS2_0174 OAS2_0174_MR3 Nondemented     3     1555   M    R  64   12   4
## 344  OAS2_0175 OAS2_0175_MR1    Demented     1        0   M    R  70   16   4
## 345  OAS2_0175 OAS2_0175_MR2    Demented     2      700   M    R  72   16   4
## 346  OAS2_0175 OAS2_0175_MR3    Demented     3     1343   M    R  73   16   4
## 347  OAS2_0176 OAS2_0176_MR1   Converted     1        0   M    R  84   16   2
## 348  OAS2_0176 OAS2_0176_MR2   Converted     2      774   M    R  87   16   2
## 349  OAS2_0176 OAS2_0176_MR3   Converted     3     1631   M    R  89   16   2
## 350  OAS2_0177 OAS2_0177_MR1 Nondemented     1        0   M    R  68   14   3
## 351  OAS2_0177 OAS2_0177_MR2 Nondemented     2      665   M    R  70   14   3
## 352  OAS2_0178 OAS2_0178_MR1 Nondemented     1        0   F    R  89   14   2
## 353  OAS2_0178 OAS2_0178_MR2 Nondemented     2      600   F    R  90   14   2
## 354  OAS2_0178 OAS2_0178_MR3 Nondemented     3     1447   F    R  93   14   2
## 355  OAS2_0179 OAS2_0179_MR1    Demented     1        0   M    R  79   20   1
## 356  OAS2_0179 OAS2_0179_MR2    Demented     2      652   M    R  81   20   1
## 362  OAS2_0183 OAS2_0183_MR1 Nondemented     1        0   F    R  66   13   2
## 363  OAS2_0183 OAS2_0183_MR2 Nondemented     2      182   F    R  66   13   2
## 364  OAS2_0183 OAS2_0183_MR3 Nondemented     3      732   F    R  68   13   2
## 365  OAS2_0183 OAS2_0183_MR4 Nondemented     4     2107   F    R  72   13   2
## 366  OAS2_0184 OAS2_0184_MR1    Demented     1        0   F    R  72   16   3
## 367  OAS2_0184 OAS2_0184_MR2    Demented     2      553   F    R  73   16   3
## 368  OAS2_0185 OAS2_0185_MR1    Demented     1        0   M    R  80   16   1
## 369  OAS2_0185 OAS2_0185_MR2    Demented     2      842   M    R  82   16   1
## 370  OAS2_0185 OAS2_0185_MR3    Demented     3     2297   M    R  86   16   1
## 371  OAS2_0186 OAS2_0186_MR1 Nondemented     1        0   F    R  61   13   2
## 372  OAS2_0186 OAS2_0186_MR2 Nondemented     2      763   F    R  63   13   2
## 373  OAS2_0186 OAS2_0186_MR3 Nondemented     3     1608   F    R  65   13   2
##     MMSE CDR eTIV  nWBV   ASF
## 1     27 0.0 1987 0.696 0.883
## 2     30 0.0 2004 0.681 0.876
## 6     28 0.0 1215 0.710 1.444
## 7     27 0.0 1200 0.718 1.462
## 8     28 0.0 1689 0.712 1.039
## 9     29 0.5 1701 0.711 1.032
## 10    30 0.0 1699 0.705 1.033
## 14    30 0.0 1272 0.698 1.380
## 15    29 0.0 1257 0.703 1.396
## 16    27 0.5 1457 0.806 1.205
## 17    24 0.5 1480 0.791 1.186
## 18    30 0.5 1447 0.769 1.213
## 19    29 0.5 1482 0.752 1.184
## 20    29 0.0 1333 0.748 1.316
## 21    29 0.0 1323 0.738 1.326
## 22    29 0.0 1323 0.718 1.327
## 23    30 0.0 1230 0.715 1.427
## 24    30 0.0 1212 0.720 1.448
## 25    29 0.0 1225 0.710 1.433
## 26    21 0.5 1602 0.697 1.096
## 27    16 1.0 1590 0.696 1.104
## 28    25 0.5 1651 0.660 1.063
## 29    23 0.5 1668 0.646 1.052
## 30    29 0.0 1783 0.752 0.985
## 31    27 0.5 1814 0.759 0.968
## 32    30 0.0 1820 0.755 0.964
## 33    27 0.0 1813 0.761 0.968
## 34    30 0.0 1406 0.715 1.248
## 35    29 0.0 1398 0.713 1.255
## 36    27 0.5 1423 0.696 1.234
## 37    29 0.0 1587 0.693 1.106
## 38    28 0.5 1606 0.677 1.093
## 39    26 0.5 1597 0.666 1.099
## 40    26 0.5 1911 0.719 0.919
## 41    25 0.5 1926 0.736 0.911
## 42    30 0.0 1313 0.805 1.337
## 43    29 0.0 1316 0.796 1.333
## 44    21 0.5 1247 0.662 1.407
## 45    21 0.5 1250 0.652 1.405
## 46    27 0.5 1420 0.713 1.236
## 47    27 0.5 1445 0.695 1.214
## 48    29 0.0 1365 0.783 1.286
## 49    30 0.0 1360 0.782 1.291
## 50    30 0.0 1358 0.775 1.293
## 51    30 0.0 1353 0.772 1.297
## 52    22 0.5 1547 0.737 1.134
## 53    21 1.0 1562 0.717 1.124
## 54    29 0.0 1377 0.734 1.275
## 55    30 0.0 1390 0.735 1.263
## 56    30 0.0 1402 0.822 1.252
## 57    30 0.0 1392 0.817 1.261
## 58    30 0.0 1430 0.718 1.227
## 59    30 0.0 1445 0.719 1.215
## 60    28 0.5 1463 0.696 1.199
## 61    21 0.5 1307 0.679 1.342
## 62    24 0.5 1311 0.676 1.339
## 63    29 0.0 1466 0.703 1.197
## 64    30 0.0 1450 0.698 1.210
## 65    30 0.0 1460 0.695 1.202
## 66    30 0.0 1453 0.684 1.208
## 67    30 0.0 1336 0.738 1.313
## 68    27 0.0 1329 0.733 1.320
## 69    30 0.0 1359 0.789 1.291
## 70    30 0.0 1361 0.783 1.290
## 71    30 0.0 1360 0.773 1.291
## 72    29 0.0 1349 0.778 1.301
## 73    27 0.5 1477 0.729 1.188
## 74    29 0.5 1487 0.717 1.180
## 75    26 0.5 1483 0.709 1.184
## 76    26 0.5 1485 0.706 1.181
## 77    26 0.5 1174 0.742 1.495
## 78    25 0.5 1179 0.733 1.488
## 79    25 0.5 1310 0.727 1.339
## 80    27 0.5 1320 0.724 1.329
## 81    23 0.5 1348 0.713 1.302
## 82    27 0.0 1289 0.771 1.362
## 83    28 0.0 1295 0.768 1.356
## 84    28 0.5 1314 0.760 1.335
## 85    29 0.0 1640 0.766 1.070
## 86    29 0.0 1665 0.748 1.054
## 87    26 0.5 1453 0.777 1.208
## 88    26 0.5 1451 0.757 1.210
## 89    21 1.0 1333 0.685 1.317
## 90    15 1.0 1331 0.678 1.318
## 91    22 1.0 1332 0.679 1.317
## 92    30 0.0 1317 0.737 1.332
## 93    29 0.0 1322 0.731 1.327
## 94    20 0.5 1476 0.750 1.189
## 95    22 1.0 1483 0.748 1.183
## 96    29 0.0 1433 0.723 1.225
## 97    27 0.0 1414 0.727 1.242
## 98    19 1.0 1695 0.711 1.036
## 99    21 1.0 1708 0.703 1.028
## 100   19 1.0 1712 0.691 1.025
## 101    7 1.0 1714 0.682 1.024
## 102    4 1.0 1701 0.676 1.032
## 103   30 0.0 1491 0.794 1.177
## 104   30 0.0 1505 0.791 1.166
## 105   30 0.0 1503 0.788 1.168
## 106   20 0.5 1461 0.724 1.202
## 107   17 1.0 1483 0.695 1.184
## 108   29 0.0 1454 0.701 1.207
## 109   29 0.0 1474 0.696 1.190
## 110   30 0.0 1483 0.689 1.184
## 111   29 0.0 1463 0.737 1.199
## 112   30 0.0 1484 0.703 1.183
## 113   29 0.0 1484 0.760 1.183
## 114   28 0.0 1500 0.744 1.170
## 115   29 0.0 1264 0.701 1.388
## 116   24 0.5 1275 0.683 1.376
## 117   29 0.0 1362 0.837 1.289
## 118   27 0.0 1365 0.827 1.285
## 119   28 0.0 1461 0.756 1.202
## 120   30 0.0 1456 0.739 1.205
## 121   30 0.0 1599 0.755 1.098
## 122   29 0.0 1569 0.757 1.118
## 123   30 0.0 1580 0.739 1.111
## 124   30 0.5 1315 0.707 1.335
## 125   26 0.5 1308 0.706 1.341
## 126   29 0.5 1324 0.695 1.326
## 127   29 0.5 1416 0.766 1.239
## 128   28 0.5 1408 0.757 1.247
## 129   30 0.0 1654 0.747 1.061
## 130   30 0.0 1660 0.738 1.057
## 131   30 0.0 1681 0.729 1.044
## 132   29 0.0 1641 0.695 1.069
## 133   30 0.0 1664 0.677 1.055
## 134   29 0.0 1667 0.688 1.053
## 137   23 1.0 1462 0.691 1.200
## 138   26 0.5 1459 0.694 1.203
## 139   18 0.5 1464 0.682 1.199
## 140   30 1.0 1957 0.734 0.897
## 141   30 0.5 1928 0.731 0.910
## 142   30 0.0 1440 0.727 1.219
## 143   29 0.0 1438 0.738 1.220
## 144   29 0.0 1455 0.724 1.206
## 145   28 0.0 1444 0.722 1.215
## 146   30 0.0 1428 0.700 1.229
## 147   29 0.0 1475 0.676 1.190
## 148   29 0.0 1470 0.687 1.194
## 149   30 0.0 1471 0.690 1.193
## 150   28 0.0 1660 0.728 1.057
## 151   29 0.0 1692 0.723 1.037
## 152   29 0.0 1707 0.717 1.028
## 153   30 0.0 1724 0.704 1.018
## 154   30 0.0 1720 0.705 1.020
## 155   27 1.0 1391 0.705 1.262
## 156   28 1.0 1402 0.695 1.252
## 157   29 0.0 1524 0.787 1.151
## 158   28 0.0 1512 0.777 1.161
## 159   28 0.0 1507 0.782 1.164
## 160   29 0.0 1490 0.774 1.178
## 161   29 0.0 1504 0.769 1.167
## 162   25 0.5 1151 0.743 1.525
## 163   22 0.5 1143 0.741 1.535
## 164   30 0.0 1504 0.725 1.167
## 165   29 0.0 1536 0.719 1.143
## 166   30 0.0 1520 0.718 1.155
## 167   28 0.0 1848 0.737 0.950
## 168   29 0.0 1931 0.722 0.909
## 169   28 0.0 1631 0.674 1.076
## 170   28 0.0 1640 0.670 1.070
## 171   30 0.0 1662 0.682 1.056
## 172   23 0.5 1447 0.759 1.213
## 173   16 1.0 1492 0.725 1.176
## 174   16 1.0 1478 0.696 1.188
## 175   25 0.5 1548 0.727 1.134
## 176   30 0.5 1556 0.713 1.128
## 177   28 0.5 1546 0.724 1.135
## 178   26 0.5 1271 0.695 1.381
## 179   26 0.5 1273 0.686 1.378
## 180   29 0.0 1383 0.756 1.269
## 181   27 0.0 1381 0.751 1.270
## 182   28 0.0 1544 0.805 1.136
## 183   28 0.0 1542 0.792 1.138
## 184   26 1.0 1465 0.683 1.198
## 185   21 2.0 1503 0.660 1.168
## 186   21 1.0 1477 0.672 1.188
## 187   20 1.0 1494 0.661 1.175
## 188   29 0.5 1432 0.692 1.225
## 189   27 1.0 1432 0.684 1.226
## 190   29 0.0 1548 0.773 1.134
## 191   29 0.0 1534 0.772 1.144
## 192   30 0.0 1550 0.758 1.133
## 193   28 0.0 1511 0.739 1.162
## 194   29 0.0 1506 0.715 1.166
## 195   28 0.0 1383 0.748 1.269
## 196   27 0.5 1390 0.728 1.263
## 197   30 0.0 1513 0.771 1.160
## 198   30 0.0 1449 0.774 1.212
## 199   30 0.0 1769 0.699 0.992
## 200   29 0.0 1785 0.687 0.983
## 201   29 0.0 1814 0.679 0.967
## 202   29 0.0 1154 0.750 1.521
## 203   28 0.0 1165 0.736 1.506
## 204   30 0.0 1611 0.729 1.089
## 205   30 0.0 1628 0.709 1.078
## 206   30 0.5 1446 0.780 1.214
## 207   28 0.5 1412 0.783 1.243
## 210   29 0.0 1583 0.777 1.108
## 211   30 0.0 1586 0.757 1.107
## 212   30 0.0 1590 0.760 1.104
## 213   30 0.0 1371 0.769 1.280
## 214   30 0.0 1400 0.752 1.254
## 215   30 0.0 1379 0.757 1.273
## 216   29 0.5 1499 0.689 1.171
## 217   29 0.5 1497 0.686 1.172
## 218   30 0.5 1498 0.681 1.171
## 219   30 0.0 1404 0.750 1.250
## 220   30 0.5 1423 0.722 1.233
## 221   30 0.5 1419 0.731 1.236
## 222   25 0.5 1568 0.696 1.119
## 223   17 1.0 1562 0.685 1.123
## 224   29 0.0 1783 0.703 0.984
## 225   30 0.0 1762 0.718 0.996
## 226   22 1.0 1445 0.722 1.214
## 227   21 1.0 1489 0.686 1.179
## 228   25 0.5 1604 0.781 1.094
## 229   27 0.5 1569 0.781 1.118
## 230   28 0.0 1750 0.670 1.003
## 231   29 0.0 1744 0.670 1.006
## 232   17 0.5 1525 0.732 1.151
## 233   17 0.5 1520 0.699 1.155
## 234   27 0.5 1315 0.698 1.335
## 235   20 0.5 1339 0.689 1.311
## 236   23 0.5 1536 0.725 1.142
## 237   28 0.5 1520 0.708 1.155
## 240   27 0.5 1425 0.769 1.232
## 241   28 0.5 1407 0.770 1.247
## 242   30 0.0 1842 0.758 0.953
## 243   30 0.0 1806 0.759 0.972
## 244   30 0.0 1823 0.739 0.963
## 245   29 0.0 1826 0.734 0.961
## 246   30 0.0 1508 0.794 1.164
## 247   26 0.5 1529 0.788 1.147
## 248   28 0.0 1486 0.754 1.181
## 249   29 0.0 1482 0.751 1.184
## 250   30 0.0 1488 0.741 1.180
## 251   25 1.0 1409 0.715 1.246
## 252   15 2.0 1401 0.700 1.253
## 253   30 0.0 1475 0.726 1.190
## 254   30 0.0 1517 0.705 1.157
## 255   30 0.0 1293 0.747 1.357
## 256   30 0.0 1295 0.744 1.355
## 257   29 0.5 1463 0.749 1.200
## 258   27 0.5 1479 0.750 1.187
## 259   29 0.0 1344 0.739 1.306
## 260   29 0.0 1338 0.747 1.312
## 261   29 0.0 1344 0.740 1.306
## 262   29 0.0 1644 0.729 1.067
## 263   29 0.5 1654 0.720 1.061
## 264   29 0.5 1647 0.717 1.066
## 265   29 0.5 1668 0.694 1.052
## 266   30 0.5 1670 0.669 1.051
## 267   28 0.0 1346 0.762 1.304
## 268   29 0.0 1354 0.739 1.297
## 269   30 0.0 1440 0.666 1.219
## 270   30 0.0 1436 0.663 1.222
## 271   29 0.0 1442 0.644 1.217
## 272   30 0.5 1340 0.754 1.309
## 273   25 0.0 1331 0.761 1.318
## 274   29 0.0 1475 0.731 1.190
## 275   28 0.5 1495 0.687 1.174
## 276   29 0.5 1295 0.748 1.355
## 277   28 0.5 1284 0.741 1.367
## 278   30 0.0 1636 0.680 1.073
## 279   27 0.0 1645 0.663 1.067
## 280   28 0.5 1659 0.739 1.058
## 281   30 0.5 1651 0.737 1.063
## 282   29 0.0 1123 0.786 1.563
## 283   28 0.0 1106 0.767 1.587
## 284   29 0.5 1337 0.766 1.312
## 285   29 0.5 1344 0.733 1.305
## 286   26 0.5 1391 0.705 1.262
## 287   27 0.5 1393 0.690 1.260
## 288   25 0.5 1396 0.687 1.257
## 289   30 0.0 1277 0.812 1.374
## 290   29 0.0 1290 0.795 1.361
## 291   29 0.0 1380 0.819 1.272
## 292   28 0.0 1390 0.810 1.262
## 293   30 0.0 1715 0.746 1.023
## 294   30 0.0 1714 0.741 1.024
## 295   29 0.0 1744 0.723 1.006
## 296   30 0.0 1704 0.716 1.030
## 297   30 0.5 1722 0.708 1.019
## 298   30 0.0 1298 0.799 1.352
## 299   29 0.5 1287 0.771 1.364
## 300   20 1.0 1732 0.685 1.013
## 301   20 1.0 1729 0.698 1.015
## 302   29 0.0 1351 0.769 1.299
## 303   29 0.0 1334 0.769 1.316
## 304   28 0.0 1337 0.762 1.313
## 305   30 0.0 1342 0.747 1.307
## 306   29 0.0 1345 0.737 1.305
## 307   30 0.0 1335 0.732 1.314
## 308   30 0.5 1343 0.720 1.306
## 309   27 1.0 1357 0.714 1.293
## 310   29 0.0 1191 0.785 1.474
## 311   29 0.0 1194 0.772 1.469
## 312   29 0.0 1202 0.770 1.461
## 313   29 0.0 1436 0.750 1.222
## 314   28 0.0 1559 0.713 1.125
## 315   30 0.0 1243 0.748 1.412
## 316   30 0.0 1256 0.739 1.398
## 317   19 1.0 1274 0.728 1.377
## 318   18 1.0 1479 0.657 1.187
## 319   29 0.0 1272 0.697 1.380
## 320   29 0.0 1281 0.680 1.370
## 321   29 0.5 1238 0.757 1.418
## 322   28 0.5 1236 0.764 1.419
## 325   29 0.0 1818 0.734 0.965
## 326   30 0.0 1817 0.736 0.966
## 327   29 0.0 1830 0.724 0.959
## 328   23 0.5 1514 0.678 1.159
## 329   22 0.5 1550 0.665 1.132
## 330   23 1.0 1713 0.756 1.024
## 331   25 2.0 1710 0.760 1.026
## 332   23 1.0 1491 0.710 1.177
## 333   17 1.0 1755 0.696 1.000
## 334   30 0.0 1426 0.731 1.231
## 335   30 0.0 1414 0.739 1.241
## 336   30 0.0 1832 0.769 0.958
## 337   30 0.0 1820 0.768 0.964
## 338   30 0.0 1836 0.744 0.956
## 339   30 0.5 1891 0.709 0.928
## 340   29 0.5 1899 0.700 0.924
## 341   30 0.0 1379 0.806 1.273
## 342   30 0.0 1378 0.795 1.274
## 343   30 0.0 1370 0.794 1.281
## 344   26 0.5 1796 0.742 0.977
## 345   28 0.5 1796 0.732 0.977
## 346   28 0.5 1803 0.731 0.973
## 347   30 0.0 1404 0.710 1.250
## 348   30 0.0 1398 0.696 1.255
## 349   30 0.5 1408 0.679 1.246
## 350   26 0.0 1444 0.778 1.216
## 351   28 0.0 1510 0.770 1.162
## 352   29 0.0 1509 0.756 1.163
## 353   28 0.0 1495 0.746 1.174
## 354   30 0.0 1488 0.735 1.179
## 355   26 0.5 1548 0.711 1.134
## 356   26 0.5 1556 0.691 1.128
## 362   30 0.0 1495 0.746 1.174
## 363   30 0.0 1506 0.740 1.165
## 364   30 0.0 1506 0.740 1.165
## 365   30 0.0 1510 0.723 1.162
## 366   24 0.5 1354 0.733 1.296
## 367   21 1.0 1351 0.708 1.299
## 368   28 0.5 1704 0.711 1.030
## 369   28 0.5 1693 0.694 1.037
## 370   26 0.5 1688 0.675 1.040
## 371   30 0.0 1319 0.801 1.331
## 372   30 0.0 1327 0.796 1.323
## 373   30 0.0 1333 0.801 1.317
data$SES<-as.factor(data$SES) 

Visualization

library(magrittr)
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 4.3.2
data %>%
  ggplot(aes(data$SES,data$MMSE))+
  geom_boxplot() + 
  labs(title="Boxplot of MMSE Scores by SES Levels",x="SES", y="MMSE")

Analysis

One can observe that the placement of the boxplots are gradually moving down the y axis as the SES value increases, with the the box plot in the fifth socioeconomic level displaying the lowest median. Thus, we can predict that an increase in an individual’s socioeconomic level leads to a decreased risk of developing Alzheimer’s.

library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
data %>%
  group_by(SES) %>%
  summarize (AVG=mean(MMSE, na.rm=T),
             SD=sd(MMSE, na.rm=T),
             Median=median(MMSE, na.rm=T))
## # A tibble: 5 × 4
##   SES     AVG    SD Median
##   <fct> <dbl> <dbl>  <dbl>
## 1 1      27.6  4.35     29
## 2 2      28.1  2.84     29
## 3 3      27.6  3.21     29
## 4 4      26.4  4.20     28
## 5 5      24.3  3.64     25

Observation

The data shows that the SES 5 has the lowest median and average of 25 and 24.29, with SES 2 dispalying the highest average of 28.06 and the highest median of 29 portrayed in SES 1,2, and 3.

Statistical Analysis

model <- lm(MMSE ~ SES, data = data)
summary(model)
## 
## Call:
## lm(formula = MMSE ~ SES, data = data)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -23.6023  -0.5732   1.3977   2.3977   4.7143 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  27.6023     0.3899  70.796   <2e-16 ***
## SES2          0.4657     0.5309   0.877   0.3810    
## SES3         -0.0291     0.5614  -0.052   0.9587    
## SES4         -1.2239     0.5769  -2.122   0.0346 *  
## SES5         -3.3166     1.4363  -2.309   0.0215 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 3.657 on 349 degrees of freedom
## Multiple R-squared:  0.04051,    Adjusted R-squared:  0.02951 
## F-statistic: 3.684 on 4 and 349 DF,  p-value: 0.005927

Analysis

The overall p-value of 0.005927 is less than the significance level of 0.05, thus representing that there is a relationship between the individual’s socioeconomic level and their MMSE scores.

In regards to the specific levels of SES, the estimated coefficient of 0.4657 in SES 2 and a p-value of 0.3810 portrays that there is an increase in the MMSE score from the reference level of 27.6023 while there may not be a significant relationship between SES 2 and the MMSE score.

The estimated coefficient of SES 3 is -0.0291 while the p-value is 0.9587, thus signifiying that there is a decrease in the MMSE score in relative to the reference level, although there is no significant relationship since the p-value is less than the significance level.

The estimated coefficient of SES 4 is -1,2239, thus signifying that there is a decrease in the MMSE score by 1.2239 in relative to the reference level of 27.6023. The p-value of SES 4 is 0.0346, meaning that there is a relationship between SES 4 and the MMSE scores.

Finally, the estimated coefficient of SES 5 is -3.3166, meaning that there is a decrease in the MMSE score by 3.3166 from the reference level of 27.6023. The p-value of SES 5 is 0.0215, signifying that there is a relationship between SES 5 and its MMSE score.