# 資料讀取與整理
fL <- "http://www.stat.columbia.edu/~gelman/book/data/schiz.asc"
dta <- read.table(fL, skip = 4, col.names = paste0("T", 101:130))
head(dta)
##   T101 T102 T103 T104 T105 T106 T107 T108 T109 T110 T111 T112 T113 T114
## 1  312  272  350  286  268  328  298  356  292  308  296  372  396  402
## 2  354  346  384  342  302  312  322  376  306  402  320  298  308  414
## 3  256  284  320  274  324  268  370  430  314  312  362  256  342  388
## 4  260  294  306  292  264  290  272  268  344  362  330  280  354  320
## 5  204  272  250  260  314  308  246  236  208  268  272  264  308  236
## 6  590  312  286  310  778  364  318  316  316  298  344  262  274  330
##   T115 T116 T117 T118 T119 T120 T121 T122 T123 T124 T125 T126 T127 T128
## 1  280  330  254  282  350  328  332  308  292  258  340  242  306  328
## 2  304  422  388  422  426  338  332  426  478  372  392  374  430  388
## 3  302  366  298  396  274  226  328  274  258  220  236  272  322  284
## 4  334  276  418  288  338  350  350  324  286  322  280  256  218  256
## 5  238  350  272  252  252  236  306  238  350  206  260  280  274  318
## 6  312  310  376  326  346  334  282  292  282  300  290  302  300  306
##   T129 T130
## 1  294  272
## 2  354  368
## 3  274  356
## 4  220  356
## 5  268  210
## 6  294  444
#
dtaNew <- dta %>% 
  mutate(schizoid = c(rep("Y", 11), rep("N", 6)), id = 1:17) %>% 
  gather(key = "measure", value = "ms", 1:30) %>% 
  mutate(measure = as.factor(measure))
# 敘述統計分析
describe.by(dtaNew,dtaNew$measure)
## 
##  Descriptive statistics by group 
## group: T101
##           vars  n   mean     sd median trimmed    mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN     NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0   5.93   1   17    16 0.00
## measure*     3 17   1.00   0.00      1     1.0   0.00   1    1     0  NaN
## ms           4 17 355.18 134.38    312   347.6 100.82 204  620   416 0.86
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.72 32.59
## -------------------------------------------------------- 
## group: T102
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17   2.00   0.00      2     2.0  0.00   2    2     0  NaN
## ms           4 17 387.18 198.36    312   355.2 59.30 240 1014   774 2.03
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            3.36 48.11
## -------------------------------------------------------- 
## group: T103
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17   3.00   0.00      3    3.00  0.00   3    3     0  NaN
## ms           4 17 396.82 311.70    320  328.67 62.27 230 1586  1356 3.23
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            9.48 75.60
## -------------------------------------------------------- 
## group: T104
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17   4.00   0.00      4     4.0  0.00   4    4     0  NaN
## ms           4 17 356.12 259.05    286   299.2 47.44 222 1344  1122 3.23
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            9.45 62.83
## -------------------------------------------------------- 
## group: T105
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17   5.00   0.00      5     5.0  0.00   5    5     0  NaN
## ms           4 17 395.53 165.51    324   382.4 85.99 210  778   568 0.99
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.38 40.14
## -------------------------------------------------------- 
## group: T106
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17   6.00   0.00      6     6.0  0.00   6    6     0  NaN
## ms           4 17 419.65 187.90    328   402.8 65.23 254  838   584 1.09
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.40 45.57
## -------------------------------------------------------- 
## group: T107
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17   7.00   0.00      7    7.00  0.00   7    7     0  NaN
## ms           4 17 359.53 136.57    318  340.53 77.10 232  772   540 1.62
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            2.20 33.12
## -------------------------------------------------------- 
## group: T108
##           vars  n   mean    sd median trimmed    mad min  max range skew
## schizoid*    1 17    NaN    NA     NA     NaN     NA Inf -Inf  -Inf   NA
## id           2 17   9.00  5.05      9     9.0   5.93   1   17    16 0.00
## measure*     3 17   8.00  0.00      8     8.0   0.00   8    8     0  NaN
## ms           4 17 342.12 80.38    340   339.2 106.75 228  500   272 0.21
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -1.15 19.49
## -------------------------------------------------------- 
## group: T109
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17   9.00   0.00      9    9.00  0.00   9    9     0  NaN
## ms           4 17 370.82 150.24    314  356.53 50.41 208  748   540 1.18
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            0.14 36.44
## -------------------------------------------------------- 
## group: T110
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17  10.00   0.00     10   10.00  0.00  10   10     0  NaN
## ms           4 17 400.82 198.46    334  366.13 97.85 246 1076   830 2.31
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            5.04 48.13
## -------------------------------------------------------- 
## group: T111
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16  0.0
## measure*     3 17  11.00   0.00     11    11.0  0.00  11   11     0  NaN
## ms           4 17 381.53 177.94    320   348.8 62.27 256  998   742  2.4
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            5.56 43.16
## -------------------------------------------------------- 
## group: T112
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17  12.00   0.00     12   12.00  0.00  12   12     0  NaN
## ms           4 17 356.94 150.06    314  334.93 85.99 248  796   548 1.75
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            2.12 36.39
## -------------------------------------------------------- 
## group: T113
##           vars  n mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17  NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17    9   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17   13   0.00     13   13.00  0.00  13   13     0  NaN
## ms           4 17  406 179.97    332  378.27 83.03 260  968   708 1.77
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            2.79 43.65
## -------------------------------------------------------- 
## group: T114
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17  14.00   0.00     14    14.0  0.00  14   14     0  NaN
## ms           4 17 461.41 340.48    364   395.2 65.23 236 1680  1444 2.71
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            6.76 82.58
## -------------------------------------------------------- 
## group: T115
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17  15.00   0.00     15   15.00  0.00  15   15     0  NaN
## ms           4 17 432.94 343.13    318  361.47 56.34 238 1700  1462 2.94
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            7.98 83.22
## -------------------------------------------------------- 
## group: T116
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17  16.00   0.00     16    16.0  0.00  16   16     0  NaN
## ms           4 17 387.41 145.88    344   362.4 53.37 268  882   614 2.28
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            4.96 35.38
## -------------------------------------------------------- 
## group: T117
##           vars  n   mean    sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN    NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00  5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17  17.00  0.00     17    17.0  0.00  17   17     0  NaN
## ms           4 17 377.41 94.26    376   373.2 97.85 254  564   310 0.55
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.64 22.86
## -------------------------------------------------------- 
## group: T118
##           vars  n   mean     sd median trimmed    mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN     NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00   5.93   1   17    16 0.00
## measure*     3 17  18.00   0.00     18   18.00   0.00  18   18     0  NaN
## ms           4 17 377.76 141.89    348  365.73 109.71 216  720   504 1.07
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            0.18 34.41
## -------------------------------------------------------- 
## group: T119
##           vars  n mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17  NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17    9   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17   19   0.00     19    19.0  0.00  19   19     0  NaN
## ms           4 17  382 124.70    338   368.4 85.99 252  716   464 1.37
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            0.96 30.24
## -------------------------------------------------------- 
## group: T120
##           vars  n   mean    sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN    NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00  5.05      9       9  5.93   1   17    16 0.00
## measure*     3 17  20.00  0.00     20      20  0.00  20   20     0  NaN
## ms           4 17 322.47 57.68    324     320 41.51 226  456   230 0.29
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.26 13.99
## -------------------------------------------------------- 
## group: T121
##           vars  n   mean    sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN    NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00  5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17  21.00  0.00     21    21.0  0.00  21   21     0  NaN
## ms           4 17 352.82 61.00    350   348.8 62.27 264  502   238 0.73
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.02 14.80
## -------------------------------------------------------- 
## group: T122
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17  22.00   0.00     22   22.00  0.00  22   22     0  NaN
## ms           4 17 357.65 173.75    316  324.93 68.20 232  974   742 2.58
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            6.40 42.14
## -------------------------------------------------------- 
## group: T123
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17  23.00   0.00     23   23.00  0.00  23   23     0  NaN
## ms           4 17 482.59 415.33    292  417.87 62.27 222 1714  1492 1.83
##           kurtosis     se
## schizoid*       NA     NA
## id           -1.41   1.22
## measure*       NaN   0.00
## ms            2.17 100.73
## -------------------------------------------------------- 
## group: T124
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00  5.93   1   17    16  0.0
## measure*     3 17  24.00   0.00     24   24.00  0.00  24   24     0  NaN
## ms           4 17 344.35 139.15    300  326.67 94.89 206  748   542  1.5
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            1.69 33.75
## -------------------------------------------------------- 
## group: T125
##           vars  n   mean    sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN    NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00  5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17  25.00  0.00     25   25.00  0.00  25   25     0  NaN
## ms           4 17 344.12 90.06    320  340.93 88.96 226  510   284 0.54
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -1.11 21.84
## -------------------------------------------------------- 
## group: T126
##           vars  n   mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17  26.00   0.00     26    26.0  0.00  26   26     0  NaN
## ms           4 17 369.18 171.15    306   348.8 74.13 234  810   576 1.83
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            1.98 41.51
## -------------------------------------------------------- 
## group: T127
##           vars  n mean     sd median trimmed   mad min  max range skew
## schizoid*    1 17  NaN     NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17    9   5.05      9    9.00  5.93   1   17    16 0.00
## measure*     3 17   27   0.00     27   27.00  0.00  27   27     0  NaN
## ms           4 17  396 201.90    306  369.33 47.44 208  984   776 1.58
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms            1.76 48.97
## -------------------------------------------------------- 
## group: T128
##           vars  n   mean    sd median trimmed   mad min  max range skew
## schizoid*    1 17    NaN    NA     NA     NaN    NA Inf -Inf  -Inf   NA
## id           2 17   9.00  5.05      9     9.0  5.93   1   17    16 0.00
## measure*     3 17  28.00  0.00     28    28.0  0.00  28   28     0  NaN
## ms           4 17 325.53 70.73    306   322.8 71.16 232  460   228 0.54
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.90 17.15
## -------------------------------------------------------- 
## group: T129
##           vars  n   mean     sd median trimmed    mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN     NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9       9   5.93   1   17    16 0.00
## measure*     3 17  29.00   0.00     29      29   0.00  29   29     0  NaN
## ms           4 17 366.24 128.85    352     358 115.64 206  650   444 0.66
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.58 31.25
## -------------------------------------------------------- 
## group: T130
##           vars  n   mean     sd median trimmed    mad min  max range skew
## schizoid*    1 17    NaN     NA     NA     NaN     NA Inf -Inf  -Inf   NA
## id           2 17   9.00   5.05      9    9.00   5.93   1   17    16 0.00
## measure*     3 17  30.00   0.00     30   30.00   0.00  30   30     0  NaN
## ms           4 17 379.65 121.71    368  373.73 115.64 206  642   436 0.44
##           kurtosis    se
## schizoid*       NA    NA
## id           -1.41  1.22
## measure*       NaN  0.00
## ms           -0.64 29.52
# 畫圖
ggplot(dtaNew, aes(measure, ms, color = schizoid))+
  coord_flip()+
  geom_boxplot()

# 用Ancova檢定是否存在差異
m0 <- lm(ms ~ measure + schizoid, data = dtaNew)
anova(m0)
## Analysis of Variance Table
## 
## Response: ms
##            Df   Sum Sq Mean Sq  F value Pr(>F)    
## measure    29   638735   22025   0.8046 0.7571    
## schizoid    1  4506212 4506212 164.6050 <2e-16 ***
## Residuals 479 13113064   27376                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

從結果可發現,在控制受試者接受的方法時,精神疾病的有無在反應時間上存在差異。