R Markdown

Data Read in. Setwd() will need to be updated with the r path to the data on a local computer. For information on how to obtain the correct path, please contact the PASS team.

setwd("N:\\AA\\CARS\\CARS-Shares\\PASSData\\PASS\\JMU Programs and Majors\\Engineering (BS)\\2021-2022\\Data Analysis 2022\\")
getwd()
## [1] "N:/AA/CARS/CARS-Shares/PASSData/PASS/JMU Programs and Majors/Engineering (BS)/2021-2022/Data Analysis 2022"
library(qualtRics)
library(psych)

All_blockdata<-read_survey ("Primary Blocks1Engineering Assessment Day Data.csv")
## 
## -- Column specification --------------------------------------------------------
## cols(
##   .default = col_double(),
##   StartDate = col_character(),
##   EndDate = col_character(),
##   IPAddress = col_character(),
##   RecordedDate = col_character(),
##   ResponseId = col_character(),
##   RecipientLastName = col_logical(),
##   RecipientFirstName = col_logical(),
##   RecipientEmail = col_character(),
##   ExternalReference = col_logical(),
##   DistributionChannel = col_character(),
##   UserLanguage = col_character(),
##   Q49 = col_number(),
##   Q53 = col_number(),
##   Q55 = col_number(),
##   Q56 = col_number(),
##   Q57 = col_number(),
##   Q62 = col_number(),
##   Q63 = col_number(),
##   Q113 = col_character(),
##   Q115 = col_character()
##   # ... with 5 more columns
## )
## i Use `spec()` for the full column specifications.
Primary_blockdata2<-read_survey ("PrimaryBlockData3.csv")
## 
## -- Column specification --------------------------------------------------------
## cols(
##   .default = col_double(),
##   StartDate = col_character(),
##   Q49 = col_number(),
##   Q62 = col_number(),
##   Q63 = col_number(),
##   Q113 = col_character(),
##   Q115 = col_character(),
##   Q127 = col_number()
## )
## i Use `spec()` for the full column specifications.

Block Data(2) is a subset of the complete 2022 Assesssment data. This data includes duration, Q128 (course), primary block questions (Q1,Q2, Q3, Q7) as well as the total score calculated for each of the primary blocks. Random blocks are not included in this analysis. SC1= score for block 1, SC2= scores for block 2, etc.

summary(Primary_blockdata2)
##   StartDate         Duration (in seconds)      Q128             Q1       
##  Length:255         Min.   :     6.0      Min.   :1.000   Min.   :1.000  
##  Class :character   1st Qu.:   885.5      1st Qu.:1.000   1st Qu.:3.000  
##  Mode  :character   Median :  1955.0      Median :2.000   Median :4.000  
##                     Mean   :  5793.1      Mean   :2.116   Mean   :3.373  
##                     3rd Qu.:  3552.0      3rd Qu.:3.000   3rd Qu.:4.000  
##                     Max.   :413441.0      Max.   :4.000   Max.   :6.000  
##                                           NA's   :5       NA's   :11     
##        Q2              Q3              Q7              Q8       
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:2.000   1st Qu.:3.000   1st Qu.:4.000   1st Qu.:4.000  
##  Median :3.000   Median :5.000   Median :5.000   Median :5.000  
##  Mean   :3.107   Mean   :4.416   Mean   :4.603   Mean   :4.668  
##  3rd Qu.:4.000   3rd Qu.:6.000   3rd Qu.:6.000   3rd Qu.:6.000  
##  Max.   :5.000   Max.   :8.000   Max.   :7.000   Max.   :7.000  
##  NA's   :31      NA's   :22      NA's   :36      NA's   :26     
##       Q11             Q12             Q15             Q16       
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:1.000   1st Qu.:1.000   1st Qu.:1.000  
##  Median :4.000   Median :2.000   Median :3.000   Median :1.000  
##  Mean   :3.792   Mean   :2.137   Mean   :2.291   Mean   :2.055  
##  3rd Qu.:5.000   3rd Qu.:3.000   3rd Qu.:3.000   3rd Qu.:3.000  
##  Max.   :6.000   Max.   :4.000   Max.   :4.000   Max.   :4.000  
##  NA's   :24      NA's   :22      NA's   :18      NA's   :18     
##       Q17             Q18             Q19             Q20       
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:2.000   1st Qu.:1.000   1st Qu.:1.000   1st Qu.:1.000  
##  Median :3.000   Median :2.000   Median :2.000   Median :2.000  
##  Mean   :2.682   Mean   :2.171   Mean   :1.966   Mean   :2.013  
##  3rd Qu.:3.000   3rd Qu.:3.000   3rd Qu.:3.000   3rd Qu.:3.000  
##  Max.   :4.000   Max.   :4.000   Max.   :3.000   Max.   :3.000  
##  NA's   :19      NA's   :21      NA's   :21      NA's   :21     
##       Q21             Q40             Q41             Q42       
##  Min.   :1.000   Min.   :1.000   Min.   :1.000   Min.   :1.000  
##  1st Qu.:2.000   1st Qu.:2.000   1st Qu.:2.000   1st Qu.:1.000  
##  Median :3.000   Median :3.000   Median :2.000   Median :2.000  
##  Mean   :3.038   Mean   :2.769   Mean   :2.755   Mean   :2.414  
##  3rd Qu.:5.000   3rd Qu.:3.000   3rd Qu.:4.000   3rd Qu.:4.000  
##  Max.   :5.000   Max.   :5.000   Max.   :5.000   Max.   :5.000  
##  NA's   :19      NA's   :26      NA's   :22      NA's   :28     
##       Q43             Q48             Q49               Q50       
##  Min.   :1.000   Min.   :1.000   Min.   :   1.00   Min.   :1.000  
##  1st Qu.:2.000   1st Qu.:2.000   1st Qu.:  23.00   1st Qu.:1.000  
##  Median :2.000   Median :3.000   Median :  23.00   Median :1.000  
##  Mean   :2.699   Mean   :3.293   Mean   :  65.54   Mean   :1.335  
##  3rd Qu.:4.000   3rd Qu.:5.000   3rd Qu.: 123.00   3rd Qu.:1.000  
##  Max.   :5.000   Max.   :5.000   Max.   :1234.00   Max.   :4.000  
##  NA's   :46      NA's   :23      NA's   :22        NA's   :22     
##       Q58             Q59             Q62                 Q63         
##  Min.   :1.000   Min.   :1.000   Min.   :2.000e+00   Min.   :    1.0  
##  1st Qu.:2.000   1st Qu.:3.000   1st Qu.:7.810e+03   1st Qu.:   13.0  
##  Median :2.000   Median :3.000   Median :7.813e+05   Median :  123.0  
##  Mean   :2.102   Mean   :2.811   Mean   :1.060e+18   Mean   :  782.3  
##  3rd Qu.:2.000   3rd Qu.:3.000   3rd Qu.:8.101e+08   3rd Qu.: 1234.0  
##  Max.   :4.000   Max.   :4.000   Max.   :1.235e+20   Max.   :12345.0  
##  NA's   :30      NA's   :22      NA's   :22          NA's   :23       
##       Q66             Q94             Q95            Q96       
##  Min.   :1.000   Min.   :1.000   Min.   :1.00   Min.   :1.000  
##  1st Qu.:3.000   1st Qu.:2.000   1st Qu.:2.00   1st Qu.:2.000  
##  Median :3.000   Median :2.000   Median :2.00   Median :4.000  
##  Mean   :2.966   Mean   :2.387   Mean   :2.23   Mean   :3.239  
##  3rd Qu.:4.000   3rd Qu.:3.000   3rd Qu.:2.75   3rd Qu.:4.000  
##  Max.   :4.000   Max.   :4.000   Max.   :4.00   Max.   :4.000  
##  NA's   :22      NA's   :25      NA's   :25     NA's   :25     
##      Q113               Q115                Q127             SC1       
##  Length:255         Length:255         Min.   :   1.0   Min.   :0.000  
##  Class :character   Class :character   1st Qu.:   4.0   1st Qu.:0.000  
##  Mode  :character   Mode  :character   Median :  23.0   Median :1.000  
##                                        Mean   : 292.4   Mean   :0.949  
##                                        3rd Qu.: 134.0   3rd Qu.:1.000  
##                                        Max.   :1234.0   Max.   :3.000  
##                                        NA's   :41                      
##       SC2              SC3              SC4             SC5       
##  Min.   :0.0000   Min.   :0.0000   Min.   :0.000   Min.   :0.000  
##  1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:1.000   1st Qu.:0.000  
##  Median :0.0000   Median :0.0000   Median :3.000   Median :1.000  
##  Mean   :0.3059   Mean   :0.4588   Mean   :2.945   Mean   :1.075  
##  3rd Qu.:1.0000   3rd Qu.:1.0000   3rd Qu.:4.000   3rd Qu.:2.000  
##  Max.   :2.0000   Max.   :2.0000   Max.   :7.000   Max.   :3.000  
##                                                                   
##       SC6             SC7              SC8             SC9        
##  Min.   :0.000   Min.   :0.0000   Min.   :0.000   Min.   :0.0000  
##  1st Qu.:2.000   1st Qu.:1.0000   1st Qu.:3.000   1st Qu.:0.0000  
##  Median :3.000   Median :1.0000   Median :5.000   Median :1.0000  
##  Mean   :2.431   Mean   :0.7529   Mean   :4.627   Mean   :0.9451  
##  3rd Qu.:3.000   3rd Qu.:1.0000   3rd Qu.:6.000   3rd Qu.:1.0000  
##  Max.   :4.000   Max.   :1.0000   Max.   :9.000   Max.   :2.0000  
##                                                                   
##       SC10            SC11      
##  Min.   :0.000   Min.   : 0.00  
##  1st Qu.:0.000   1st Qu.: 7.95  
##  Median :2.000   Median :11.70  
##  Mean   :1.486   Mean   :11.30  
##  3rd Qu.:3.000   3rd Qu.:15.28  
##  Max.   :3.000   Max.   :27.00  
## 
describe(Primary_blockdata2)
##                       vars   n         mean           sd   median      trimmed
## StartDate*               1 255 1.215600e+02 6.838000e+01    121.0 1.220600e+02
## Duration (in seconds)    2 255 5.793120e+03 2.989707e+04   1955.0 2.264670e+03
## Q128                     3 250 2.120000e+00 1.100000e+00      2.0 2.020000e+00
## Q1                       4 244 3.370000e+00 1.190000e+00      4.0 3.490000e+00
## Q2                       5 224 3.110000e+00 1.040000e+00      3.0 3.160000e+00
## Q3                       6 233 4.420000e+00 1.820000e+00      5.0 4.420000e+00
## Q7                       7 219 4.600000e+00 1.710000e+00      5.0 4.710000e+00
## Q8                       8 229 4.670000e+00 1.710000e+00      5.0 4.770000e+00
## Q11                      9 231 3.790000e+00 1.160000e+00      4.0 3.880000e+00
## Q12                     10 233 2.140000e+00 9.900000e-01      2.0 2.050000e+00
## Q15                     11 237 2.290000e+00 9.800000e-01      3.0 2.300000e+00
## Q16                     12 237 2.050000e+00 1.150000e+00      1.0 1.950000e+00
## Q17                     13 236 2.680000e+00 8.800000e-01      3.0 2.730000e+00
## Q18                     14 234 2.170000e+00 9.000000e-01      2.0 2.120000e+00
## Q19                     15 234 1.970000e+00 9.100000e-01      2.0 1.960000e+00
## Q20                     16 234 2.010000e+00 9.400000e-01      2.0 2.020000e+00
## Q21                     17 236 3.040000e+00 1.400000e+00      3.0 3.050000e+00
## Q40                     18 229 2.770000e+00 8.600000e-01      3.0 2.730000e+00
## Q41                     19 233 2.760000e+00 1.200000e+00      2.0 2.700000e+00
## Q42                     20 227 2.410000e+00 1.430000e+00      2.0 2.310000e+00
## Q43                     21 209 2.700000e+00 1.340000e+00      2.0 2.630000e+00
## Q48                     22 232 3.290000e+00 1.310000e+00      3.0 3.310000e+00
## Q49                     23 233 6.554000e+01 1.626400e+02     23.0 4.078000e+01
## Q50                     24 233 1.330000e+00 7.400000e-01      1.0 1.130000e+00
## Q58                     25 225 2.100000e+00 4.800000e-01      2.0 2.010000e+00
## Q59                     26 233 2.810000e+00 5.800000e-01      3.0 2.940000e+00
## Q62                     27 233 1.060069e+18 1.141334e+19 781315.0 1.500878e+10
## Q63                     28 232 7.823400e+02 2.247770e+03    123.0 3.427800e+02
## Q66                     29 233 2.970000e+00 9.800000e-01      3.0 3.080000e+00
## Q94                     30 230 2.390000e+00 7.300000e-01      2.0 2.430000e+00
## Q95                     31 230 2.230000e+00 8.300000e-01      2.0 2.160000e+00
## Q96                     32 230 3.240000e+00 1.100000e+00      4.0 3.420000e+00
## Q113*                   33 178 8.638000e+01 4.958000e+01     85.5 8.623000e+01
## Q115*                   34 177 8.549000e+01 4.945000e+01     84.0 8.525000e+01
## Q127                    35 214 2.923500e+02 4.828400e+02     23.0 2.129500e+02
## SC1                     36 255 9.500000e-01 7.600000e-01      1.0 9.200000e-01
## SC2                     37 255 3.100000e-01 5.100000e-01      0.0 2.300000e-01
## SC3                     38 255 4.600000e-01 6.000000e-01      0.0 3.800000e-01
## SC4                     39 255 2.950000e+00 2.030000e+00      3.0 2.880000e+00
## SC5                     40 255 1.070000e+00 9.500000e-01      1.0 9.800000e-01
## SC6                     41 255 2.430000e+00 1.160000e+00      3.0 2.540000e+00
## SC7                     42 255 7.500000e-01 4.300000e-01      1.0 8.100000e-01
## SC8                     43 255 4.630000e+00 2.410000e+00      5.0 4.750000e+00
## SC9                     44 255 9.500000e-01 7.300000e-01      1.0 9.300000e-01
## SC10                    45 255 1.490000e+00 1.150000e+00      2.0 1.480000e+00
## SC11                    46 255 1.130000e+01 5.180000e+00     11.7 1.155000e+01
##                              mad min          max        range  skew kurtosis
## StartDate*                 88.96   1 2.380000e+02 2.370000e+02 -0.04    -1.22
## Duration (in seconds)    1802.84   6 4.134410e+05 4.134350e+05 11.30   140.11
## Q128                        1.48   1 4.000000e+00 3.000000e+00  0.52    -1.09
## Q1                          0.00   1 6.000000e+00 5.000000e+00 -0.70    -0.04
## Q2                          1.48   1 5.000000e+00 4.000000e+00 -0.33    -0.55
## Q3                          1.48   1 8.000000e+00 7.000000e+00 -0.03    -0.81
## Q7                          1.48   1 7.000000e+00 6.000000e+00 -0.47    -0.60
## Q8                          1.48   1 7.000000e+00 6.000000e+00 -0.59    -0.70
## Q11                         1.48   1 6.000000e+00 5.000000e+00 -0.54    -0.16
## Q12                         1.48   1 4.000000e+00 3.000000e+00  0.65    -0.57
## Q15                         0.00   1 4.000000e+00 3.000000e+00 -0.31    -1.42
## Q16                         0.00   1 4.000000e+00 3.000000e+00  0.39    -1.47
## Q17                         0.00   1 4.000000e+00 3.000000e+00 -0.77    -0.20
## Q18                         1.48   1 4.000000e+00 3.000000e+00  0.27    -0.79
## Q19                         1.48   1 3.000000e+00 2.000000e+00  0.07    -1.80
## Q20                         1.48   1 3.000000e+00 2.000000e+00 -0.03    -1.87
## Q21                         1.48   1 5.000000e+00 4.000000e+00  0.19    -1.15
## Q40                         1.48   1 5.000000e+00 4.000000e+00  0.34     0.19
## Q41                         1.48   1 5.000000e+00 4.000000e+00  0.49    -0.97
## Q42                         1.48   1 5.000000e+00 4.000000e+00  0.32    -1.45
## Q43                         1.48   1 5.000000e+00 4.000000e+00  0.47    -0.96
## Q48                         1.48   1 5.000000e+00 4.000000e+00  0.01    -1.38
## Q49                        14.83   1 1.234000e+03 1.233000e+03  6.37    42.76
## Q50                         0.00   1 4.000000e+00 3.000000e+00  2.22     4.05
## Q58                         0.00   1 4.000000e+00 3.000000e+00  2.03     6.88
## Q59                         0.00   1 4.000000e+00 3.000000e+00 -1.96     3.98
## Q62                   1158371.69   2 1.234568e+20 1.234568e+20 10.59   110.53
## Q63                       166.05   1 1.234500e+04 1.234400e+04  4.67    21.15
## Q66                         1.48   1 4.000000e+00 3.000000e+00 -0.80    -0.31
## Q94                         1.48   1 4.000000e+00 3.000000e+00 -0.12    -0.40
## Q95                         0.00   1 4.000000e+00 3.000000e+00  0.77     0.16
## Q96                         0.00   1 4.000000e+00 3.000000e+00 -1.05    -0.49
## Q113*                      62.27   1 1.730000e+02 1.720000e+02  0.03    -1.19
## Q115*                      62.27   1 1.720000e+02 1.710000e+02  0.05    -1.21
## Q127                       32.62   1 1.234000e+03 1.233000e+03  1.41     0.04
## SC1                         1.48   0 3.000000e+00 3.000000e+00  0.24    -0.83
## SC2                         0.00   0 2.000000e+00 2.000000e+00  1.36     0.84
## SC3                         0.00   0 2.000000e+00 2.000000e+00  0.92    -0.17
## SC4                         2.97   0 7.000000e+00 7.000000e+00  0.16    -0.97
## SC5                         1.48   0 3.000000e+00 3.000000e+00  0.51    -0.71
## SC6                         1.48   0 4.000000e+00 4.000000e+00 -0.78    -0.32
## SC7                         0.00   0 1.000000e+00 1.000000e+00 -1.17    -0.64
## SC8                         2.97   0 9.000000e+00 9.000000e+00 -0.39    -0.73
## SC9                         1.48   0 2.000000e+00 2.000000e+00  0.08    -1.13
## SC10                        1.48   0 3.000000e+00 3.000000e+00 -0.01    -1.43
## SC11                        5.56   0 2.700000e+01 2.700000e+01 -0.30    -0.30
##                                 se
## StartDate*            4.280000e+00
## Duration (in seconds) 1.872230e+03
## Q128                  7.000000e-02
## Q1                    8.000000e-02
## Q2                    7.000000e-02
## Q3                    1.200000e-01
## Q7                    1.200000e-01
## Q8                    1.100000e-01
## Q11                   8.000000e-02
## Q12                   6.000000e-02
## Q15                   6.000000e-02
## Q16                   7.000000e-02
## Q17                   6.000000e-02
## Q18                   6.000000e-02
## Q19                   6.000000e-02
## Q20                   6.000000e-02
## Q21                   9.000000e-02
## Q40                   6.000000e-02
## Q41                   8.000000e-02
## Q42                   9.000000e-02
## Q43                   9.000000e-02
## Q48                   9.000000e-02
## Q49                   1.065000e+01
## Q50                   5.000000e-02
## Q58                   3.000000e-02
## Q59                   4.000000e-02
## Q62                   7.477128e+17
## Q63                   1.475700e+02
## Q66                   6.000000e-02
## Q94                   5.000000e-02
## Q95                   5.000000e-02
## Q96                   7.000000e-02
## Q113*                 3.720000e+00
## Q115*                 3.720000e+00
## Q127                  3.301000e+01
## SC1                   5.000000e-02
## SC2                   3.000000e-02
## SC3                   4.000000e-02
## SC4                   1.300000e-01
## SC5                   6.000000e-02
## SC6                   7.000000e-02
## SC7                   3.000000e-02
## SC8                   1.500000e-01
## SC9                   5.000000e-02
## SC10                  7.000000e-02
## SC11                  3.200000e-01
attach(Primary_blockdata2)
psych::describeBy(Primary_blockdata2[,c("SC1", "SC2", "SC3", "SC4", "SC5", "SC6", "SC7", "SC8", "SC9", "SC10", "SC11")], group=Q128)
## 
##  Descriptive statistics by group 
## group: 1
##      vars  n mean   sd median trimmed  mad min   max range  skew kurtosis   se
## SC1     1 96 0.60 0.57   1.00    0.58 0.00   0  2.00  2.00  0.26    -0.84 0.06
## SC2     2 96 0.33 0.54   0.00    0.26 0.00   0  2.00  2.00  1.29     0.66 0.05
## SC3     3 96 0.47 0.61   0.00    0.38 0.00   0  2.00  2.00  0.92    -0.20 0.06
## SC4     4 96 2.49 2.02   2.00    2.33 1.48   0  7.00  7.00  0.52    -0.75 0.21
## SC5     5 96 0.74 0.77   1.00    0.65 1.48   0  3.00  3.00  0.75    -0.12 0.08
## SC6     6 96 2.28 1.08   2.50    2.32 0.74   0  4.00  4.00 -0.47    -0.56 0.11
## SC7     7 96 0.66 0.48   1.00    0.69 0.00   0  1.00  1.00 -0.65    -1.60 0.05
## SC8     8 96 4.31 2.16   5.00    4.35 1.48   0  8.00  8.00 -0.25    -0.69 0.22
## SC9     9 96 0.86 0.69   1.00    0.83 0.00   0  2.00  2.00  0.18    -0.93 0.07
## SC10   10 96 1.38 1.12   1.00    1.35 1.48   0  3.00  3.00  0.18    -1.35 0.11
## SC11   11 96 9.75 4.08   9.75    9.83 3.52   0 18.25 18.25 -0.27     0.13 0.42
## ------------------------------------------------------------ 
## group: 2
##      vars  n  mean   sd median trimmed  mad min  max range  skew kurtosis   se
## SC1     1 70  1.11 0.79   1.00    1.14 1.48   0  2.0   2.0 -0.20    -1.40 0.09
## SC2     2 70  0.27 0.51   0.00    0.18 0.00   0  2.0   2.0  1.64     1.78 0.06
## SC3     3 70  0.36 0.54   0.00    0.29 0.00   0  2.0   2.0  1.12     0.19 0.06
## SC4     4 70  2.81 1.95   3.00    2.73 2.22   0  7.0   7.0  0.23    -0.95 0.23
## SC5     5 70  0.97 0.76   1.00    0.95 1.48   0  3.0   3.0  0.24    -0.76 0.09
## SC6     6 70  2.36 1.12   3.00    2.46 0.74   0  4.0   4.0 -0.78    -0.31 0.13
## SC7     7 70  0.79 0.41   1.00    0.86 0.00   0  1.0   1.0 -1.36    -0.14 0.05
## SC8     8 70  4.44 2.38   5.00    4.50 2.97   0  9.0   9.0 -0.17    -0.83 0.28
## SC9     9 70  0.89 0.71   1.00    0.86 1.48   0  2.0   2.0  0.16    -1.06 0.09
## SC10   10 70  1.24 1.04   1.00    1.18 1.48   0  3.0   3.0  0.27    -1.16 0.12
## SC11   11 70 10.75 4.80  12.02   11.03 5.15   0 19.9  19.9 -0.46    -0.47 0.57
## ------------------------------------------------------------ 
## group: 3
##      vars  n  mean   sd median trimmed  mad min   max range  skew kurtosis   se
## SC1     1 43  1.16 0.78    1.0    1.17 1.48   0  3.00  3.00  0.01    -0.87 0.12
## SC2     2 43  0.26 0.44    0.0    0.20 0.00   0  1.00  1.00  1.08    -0.85 0.07
## SC3     3 43  0.47 0.63    0.0    0.37 0.00   0  2.00  2.00  0.96    -0.20 0.10
## SC4     4 43  3.51 2.04    4.0    3.57 1.48   0  7.00  7.00 -0.26    -0.92 0.31
## SC5     5 43  1.40 1.00    1.0    1.37 1.48   0  3.00  3.00  0.00    -1.16 0.15
## SC6     6 43  2.65 1.25    3.0    2.80 0.00   0  4.00  4.00 -1.19     0.21 0.19
## SC7     7 43  0.81 0.39    1.0    0.89 0.00   0  1.00  1.00 -1.56     0.44 0.06
## SC8     8 43  4.88 2.56    5.0    5.09 2.97   0  8.00  8.00 -0.71    -0.57 0.39
## SC9     9 43  1.16 0.75    1.0    1.20 1.48   0  2.00  2.00 -0.26    -1.25 0.11
## SC10   10 43  1.70 1.15    2.0    1.74 1.48   0  3.00  3.00 -0.34    -1.35 0.17
## SC11   11 43 13.01 5.45   14.8   13.61 3.34   0 21.35 21.35 -0.92    -0.13 0.83
## ------------------------------------------------------------ 
## group: 4
##      vars  n  mean   sd median trimmed  mad min max range  skew kurtosis   se
## SC1     1 41  1.22 0.79   1.00    1.24 1.48   0   3     3 -0.09    -0.92 0.12
## SC2     2 41  0.39 0.54   0.00    0.33 0.00   0   2     2  0.89    -0.39 0.08
## SC3     3 41  0.66 0.62   1.00    0.61 0.00   0   2     2  0.33    -0.78 0.10
## SC4     4 41  3.76 1.68   4.00    3.82 1.48   0   7     7 -0.24    -0.29 0.26
## SC5     5 41  1.73 1.12   2.00    1.79 1.48   0   3     3 -0.21    -1.41 0.17
## SC6     6 41  2.88 1.08   3.00    3.06 0.00   0   4     4 -1.41     1.49 0.17
## SC7     7 41  0.93 0.26   1.00    1.00 0.00   0   1     1 -3.16     8.18 0.04
## SC8     8 41  5.88 2.27   6.00    6.21 1.48   0   9     9 -1.20     0.96 0.35
## SC9     9 41  1.10 0.77   1.00    1.12 1.48   0   2     2 -0.16    -1.33 0.12
## SC10   10 41  2.05 1.16   2.00    2.18 1.48   0   3     3 -0.84    -0.85 0.18
## SC11   11 41 14.76 5.16  16.25   15.29 2.89   0  27    27 -0.91     1.32 0.81

```r
require(gmodels)
## Loading required package: gmodels
CrossTable(Q128, SC1)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  250 
## 
##  
##              | SC1 
##         Q128 |         0 |         1 |         2 |         3 | Row Total | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##            1 |        42 |        50 |         4 |         0 |        96 | 
##              |     5.227 |     1.137 |    15.362 |     0.768 |           | 
##              |     0.438 |     0.521 |     0.042 |     0.000 |     0.384 | 
##              |     0.545 |     0.446 |     0.068 |     0.000 |           | 
##              |     0.168 |     0.200 |     0.016 |     0.000 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##            2 |        18 |        26 |        26 |         0 |        70 | 
##              |     0.588 |     0.916 |     5.440 |     0.560 |           | 
##              |     0.257 |     0.371 |     0.371 |     0.000 |     0.280 | 
##              |     0.234 |     0.232 |     0.441 |     0.000 |           | 
##              |     0.072 |     0.104 |     0.104 |     0.000 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##            3 |         9 |        19 |        14 |         1 |        43 | 
##              |     1.360 |     0.004 |     1.462 |     1.251 |           | 
##              |     0.209 |     0.442 |     0.326 |     0.023 |     0.172 | 
##              |     0.117 |     0.170 |     0.237 |     0.500 |           | 
##              |     0.036 |     0.076 |     0.056 |     0.004 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##            4 |         8 |        17 |        15 |         1 |        41 | 
##              |     1.696 |     0.102 |     2.929 |     1.377 |           | 
##              |     0.195 |     0.415 |     0.366 |     0.024 |     0.164 | 
##              |     0.104 |     0.152 |     0.254 |     0.500 |           | 
##              |     0.032 |     0.068 |     0.060 |     0.004 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
## Column Total |        77 |       112 |        59 |         2 |       250 | 
##              |     0.308 |     0.448 |     0.236 |     0.008 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
## 
## 

Including Plots

You can also embed plots, for example:

## Loading required package: ggplot2
## 
## Attaching package: 'ggplot2'
## The following objects are masked from 'package:psych':
## 
##     %+%, alpha
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 5 rows containing non-finite values (stat_bin).

Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.