require(psych)
## Loading required package: psych
## Warning: package 'psych' was built under R version 3.1.3
require(xlsx)
## Loading required package: xlsx
## Loading required package: rJava
## Loading required package: xlsxjars
setwd("~/Dropbox/CMHC-Director/site-evaluations/")

evals <- read.xlsx("Supervisor final evaluations.xlsx", sheetName="Sheet1")
evals$Cohort <- ordered(evals$Cohort)

Overall stats for each item (adjunting ns for NAs).

describe(evals[,-(1:2)])
##                     vars  n mean   sd median trimmed  mad min max range
## Counseling.1           1 31 4.23 0.72    4.0    4.28 1.48   3   5     2
## Counseling.2           2 22 4.05 0.65    4.0    4.06 0.00   3   5     2
## Counseling.3           3 33 4.58 0.61    5.0    4.67 0.00   3   5     2
## Counseling.4           4 33 4.48 0.62    5.0    4.56 0.00   3   5     2
## Counseling.5           5 33 4.48 0.67    5.0    4.59 0.00   3   5     2
## Counseling.6           6 33 4.30 0.64    4.0    4.37 0.00   3   5     2
## Counseling.7           7 33 4.67 0.60    5.0    4.78 0.00   3   5     2
## Counseling.8           8 33 4.39 0.70    5.0    4.48 0.00   3   5     2
## Counseling.9           9 30 4.00 0.69    4.0    4.00 0.00   3   5     2
## Counseling.10         10 32 4.31 0.78    4.5    4.38 0.74   3   5     2
## Counseling.11         11 31 4.29 0.64    4.0    4.36 0.00   3   5     2
## Counseling.12         12 33 4.27 0.67    4.0    4.33 1.48   3   5     2
## Counseling.13         13 28 4.11 0.63    4.0    4.12 0.00   3   5     2
## Counseling.14         14 17 4.29 0.69    4.0    4.33 1.48   3   5     2
## Conceptualization.1   15 32 4.28 0.77    4.0    4.35 1.48   3   5     2
## Conceptualization.2   16 32 4.25 0.72    4.0    4.31 1.48   3   5     2
## Conceptualization.3   17 29 4.34 0.67    4.0    4.40 1.48   3   5     2
## Conceptualization.4   18 29 4.34 0.72    4.0    4.40 1.48   3   5     2
## Supervision..1        19 33 4.64 0.49    5.0    4.67 0.00   4   5     1
## Supervision..2        20 33 4.61 0.50    5.0    4.63 0.00   4   5     1
## Supervision..3        21 33 4.67 0.54    5.0    4.74 0.00   3   5     2
## Supervision..4        22 33 4.61 0.61    5.0    4.70 0.00   3   5     2
## Supervision..5        23 33 4.73 0.52    5.0    4.81 0.00   3   5     2
## Professionalism.1     24 33 4.70 0.59    5.0    4.81 0.00   3   5     2
## Professionalism.2     25 32 4.69 0.59    5.0    4.81 0.00   3   5     2
## Professionalism.3     26 32 4.47 0.72    5.0    4.58 0.00   2   5     3
## Professionalism.4     27 33 4.42 0.87    5.0    4.56 0.00   2   5     3
## Professionalism.5     28 33 4.45 0.79    5.0    4.56 0.00   3   5     2
## Professionalism.6     29 33 4.27 0.67    4.0    4.33 1.48   3   5     2
## Professionalism.7     30 33 4.67 0.60    5.0    4.78 0.00   3   5     2
## Professionalism.8     31 33 4.36 0.74    4.0    4.48 1.48   2   5     3
## Professionalism.9     32 33 4.52 0.62    5.0    4.59 0.00   3   5     2
## Global                33 32 8.41 1.14    9.0    8.50 1.48   6  10     4
##                      skew kurtosis   se
## Counseling.1        -0.33    -1.09 0.13
## Counseling.2        -0.04    -0.77 0.14
## Counseling.3        -1.06     0.01 0.11
## Counseling.4        -0.71    -0.58 0.11
## Counseling.5        -0.87    -0.47 0.12
## Counseling.6        -0.32    -0.81 0.11
## Counseling.7        -1.50     1.13 0.10
## Counseling.8        -0.67    -0.82 0.12
## Counseling.9         0.00    -1.00 0.13
## Counseling.10       -0.57    -1.19 0.14
## Counseling.11       -0.31    -0.83 0.12
## Counseling.12       -0.35    -0.91 0.12
## Counseling.13       -0.07    -0.61 0.12
## Counseling.14       -0.38    -1.03 0.17
## Conceptualization.1 -0.50    -1.22 0.14
## Conceptualization.2 -0.38    -1.08 0.13
## Conceptualization.3 -0.48    -0.87 0.12
## Conceptualization.4 -0.57    -0.98 0.13
## Supervision..1      -0.54    -1.76 0.09
## Supervision..2      -0.41    -1.88 0.09
## Supervision..3      -1.24     0.48 0.09
## Supervision..4      -1.20     0.31 0.11
## Supervision..5      -1.61     1.67 0.09
## Professionalism.1   -1.68     1.70 0.10
## Professionalism.2   -1.63     1.52 0.10
## Professionalism.3   -1.42     2.16 0.13
## Professionalism.4   -1.17     0.09 0.15
## Professionalism.5   -0.95    -0.79 0.14
## Professionalism.6   -0.35    -0.91 0.12
## Professionalism.7   -1.50     1.13 0.10
## Professionalism.8   -1.10     1.09 0.13
## Professionalism.9   -0.82    -0.43 0.11
## Global              -0.65    -0.38 0.20

Overall stats for each item by cohort.

(evs <- describeBy(evals[,-(1:2)], evals$Cohort))
## group: 1
##                     vars n mean   sd median trimmed  mad min max range
## Counseling.1           1 9 4.00 0.71      4    4.00 0.00   3   5     2
## Counseling.2           2 5 3.60 0.55      4    3.60 0.00   3   4     1
## Counseling.3           3 9 4.33 0.87      5    4.33 0.00   3   5     2
## Counseling.4           4 9 4.22 0.67      4    4.22 0.00   3   5     2
## Counseling.5           5 9 4.33 0.87      5    4.33 0.00   3   5     2
## Counseling.6           6 9 4.22 0.83      4    4.22 1.48   3   5     2
## Counseling.7           7 9 4.11 0.78      4    4.11 1.48   3   5     2
## Counseling.8           8 9 4.22 0.67      4    4.22 0.00   3   5     2
## Counseling.9           9 9 3.89 0.78      4    3.89 1.48   3   5     2
## Counseling.10         10 9 4.33 0.87      5    4.33 0.00   3   5     2
## Counseling.11         11 9 4.22 0.83      4    4.22 1.48   3   5     2
## Counseling.12         12 9 3.89 0.60      4    3.89 0.00   3   5     2
## Counseling.13         13 7 4.00 0.58      4    4.00 0.00   3   5     2
## Counseling.14         14 7 4.14 0.69      4    4.14 0.00   3   5     2
## Conceptualization.1   15 9 4.11 0.78      4    4.11 1.48   3   5     2
## Conceptualization.2   16 9 4.11 0.78      4    4.11 1.48   3   5     2
## Conceptualization.3   17 7 3.86 0.38      4    3.86 0.00   3   4     1
## Conceptualization.4   18 7 3.71 0.49      4    3.71 0.00   3   4     1
## Supervision..1        19 9 4.22 0.44      4    4.22 0.00   4   5     1
## Supervision..2        20 9 4.33 0.50      4    4.33 0.00   4   5     1
## Supervision..3        21 9 4.33 0.71      4    4.33 1.48   3   5     2
## Supervision..4        22 9 4.22 0.83      4    4.22 1.48   3   5     2
## Supervision..5        23 9 4.56 0.73      5    4.56 0.00   3   5     2
## Professionalism.1     24 9 4.22 0.83      4    4.22 1.48   3   5     2
## Professionalism.2     25 9 4.22 0.83      4    4.22 1.48   3   5     2
## Professionalism.3     26 9 4.00 1.00      4    4.00 1.48   2   5     3
## Professionalism.4     27 9 4.22 1.09      5    4.22 0.00   2   5     3
## Professionalism.5     28 9 4.22 0.97      5    4.22 0.00   3   5     2
## Professionalism.6     29 9 3.89 0.78      4    3.89 1.48   3   5     2
## Professionalism.7     30 9 4.22 0.83      4    4.22 1.48   3   5     2
## Professionalism.8     31 9 3.89 0.93      4    3.89 0.00   2   5     3
## Professionalism.9     32 9 4.11 0.78      4    4.11 1.48   3   5     2
## Global                33 8 7.81 1.19      8    7.81 1.11   6   9     3
##                      skew kurtosis   se
## Counseling.1         0.00    -1.22 0.24
## Counseling.2        -0.29    -2.25 0.24
## Counseling.3        -0.57    -1.55 0.29
## Counseling.4        -0.18    -1.12 0.22
## Counseling.5        -0.57    -1.55 0.29
## Counseling.6        -0.35    -1.63 0.28
## Counseling.7        -0.15    -1.54 0.26
## Counseling.8        -0.18    -1.12 0.22
## Counseling.9         0.15    -1.54 0.26
## Counseling.10       -0.57    -1.55 0.29
## Counseling.11       -0.35    -1.63 0.28
## Counseling.12       -0.01    -0.64 0.20
## Counseling.13        0.00    -0.43 0.22
## Counseling.14       -0.11    -1.24 0.26
## Conceptualization.1 -0.15    -1.54 0.26
## Conceptualization.2 -0.15    -1.54 0.26
## Conceptualization.3 -1.62     0.80 0.14
## Conceptualization.4 -0.75    -1.60 0.18
## Supervision..1       1.12    -0.80 0.15
## Supervision..2       0.59    -1.81 0.17
## Supervision..3      -0.42    -1.22 0.24
## Supervision..4      -0.35    -1.63 0.28
## Supervision..5      -1.04    -0.50 0.24
## Professionalism.1   -0.35    -1.63 0.28
## Professionalism.2   -0.35    -1.63 0.28
## Professionalism.3   -0.67    -0.78 0.33
## Professionalism.4   -0.89    -0.78 0.36
## Professionalism.5   -0.38    -1.94 0.32
## Professionalism.6    0.15    -1.54 0.26
## Professionalism.7   -0.35    -1.63 0.28
## Professionalism.8   -0.65    -0.54 0.31
## Professionalism.9   -0.15    -1.54 0.26
## Global              -0.60    -1.41 0.42
## -------------------------------------------------------- 
## group: 2
##                     vars  n mean   sd median trimmed  mad min max range
## Counseling.1           1 12 4.42 0.67    4.5    4.50 0.74   3 5.0   2.0
## Counseling.2           2 10 4.00 0.67    4.0    4.00 0.00   3 5.0   2.0
## Counseling.3           3 13 4.77 0.44    5.0    4.82 0.00   4 5.0   1.0
## Counseling.4           4 13 4.62 0.65    5.0    4.73 0.00   3 5.0   2.0
## Counseling.5           5 13 4.54 0.66    5.0    4.64 0.00   3 5.0   2.0
## Counseling.6           6 13 4.23 0.60    4.0    4.27 0.00   3 5.0   2.0
## Counseling.7           7 13 4.92 0.28    5.0    5.00 0.00   4 5.0   1.0
## Counseling.8           8 13 4.54 0.78    5.0    4.64 0.00   3 5.0   2.0
## Counseling.9           9 11 4.18 0.60    4.0    4.22 0.00   3 5.0   2.0
## Counseling.10         10 12 4.42 0.79    5.0    4.50 0.00   3 5.0   2.0
## Counseling.11         11 12 4.42 0.67    4.5    4.50 0.74   3 5.0   2.0
## Counseling.12         12 13 4.46 0.78    5.0    4.55 0.00   3 5.0   2.0
## Counseling.13         13 12 4.33 0.65    4.0    4.40 0.74   3 5.0   2.0
## Counseling.14         14  6 4.83 0.41    5.0    4.83 0.00   4 5.0   1.0
## Conceptualization.1   15 13 4.38 0.87    5.0    4.45 0.00   3 5.0   2.0
## Conceptualization.2   16 13 4.38 0.77    5.0    4.45 0.00   3 5.0   2.0
## Conceptualization.3   17 12 4.50 0.67    5.0    4.60 0.00   3 5.0   2.0
## Conceptualization.4   18 12 4.58 0.67    5.0    4.70 0.00   3 5.0   2.0
## Supervision..1        19 13 4.69 0.48    5.0    4.73 0.00   4 5.0   1.0
## Supervision..2        20 13 4.62 0.51    5.0    4.64 0.00   4 5.0   1.0
## Supervision..3        21 13 4.77 0.44    5.0    4.82 0.00   4 5.0   1.0
## Supervision..4        22 13 4.69 0.48    5.0    4.73 0.00   4 5.0   1.0
## Supervision..5        23 13 4.77 0.44    5.0    4.82 0.00   4 5.0   1.0
## Professionalism.1     24 13 4.85 0.38    5.0    4.91 0.00   4 5.0   1.0
## Professionalism.2     25 12 4.83 0.39    5.0    4.90 0.00   4 5.0   1.0
## Professionalism.3     26 12 4.75 0.45    5.0    4.80 0.00   4 5.0   1.0
## Professionalism.4     27 13 4.62 0.77    5.0    4.73 0.00   3 5.0   2.0
## Professionalism.5     28 13 4.85 0.55    5.0    5.00 0.00   3 5.0   2.0
## Professionalism.6     29 13 4.46 0.52    4.0    4.45 0.00   4 5.0   1.0
## Professionalism.7     30 13 4.85 0.38    5.0    4.91 0.00   4 5.0   1.0
## Professionalism.8     31 13 4.77 0.44    5.0    4.82 0.00   4 5.0   1.0
## Professionalism.9     32 13 4.62 0.51    5.0    4.64 0.00   4 5.0   1.0
## Global                33 13 8.50 1.00    9.0    8.64 0.00   6 9.5   3.5
##                      skew kurtosis   se
## Counseling.1        -0.56    -0.97 0.19
## Counseling.2         0.00    -0.97 0.21
## Counseling.3        -1.13    -0.76 0.12
## Counseling.4        -1.23     0.20 0.18
## Counseling.5        -0.93    -0.45 0.18
## Counseling.6        -0.05    -0.78 0.17
## Counseling.7        -2.82     6.44 0.08
## Counseling.8        -1.10    -0.50 0.22
## Counseling.9        -0.02    -0.73 0.18
## Counseling.10       -0.75    -1.11 0.23
## Counseling.11       -0.56    -0.97 0.19
## Counseling.12       -0.87    -0.90 0.22
## Counseling.13       -0.34    -1.05 0.19
## Counseling.14       -1.36    -0.08 0.17
## Conceptualization.1 -0.73    -1.36 0.24
## Conceptualization.2 -0.66    -1.13 0.21
## Conceptualization.3 -0.82    -0.68 0.19
## Conceptualization.4 -1.11    -0.13 0.19
## Supervision..1      -0.74    -1.56 0.13
## Supervision..2      -0.42    -1.96 0.14
## Supervision..3      -1.13    -0.76 0.12
## Supervision..4      -0.74    -1.56 0.13
## Supervision..5      -1.13    -0.76 0.12
## Professionalism.1   -1.70     0.99 0.10
## Professionalism.2   -1.57     0.53 0.11
## Professionalism.3   -1.01    -1.04 0.13
## Professionalism.4   -1.37     0.09 0.21
## Professionalism.5   -2.82     6.44 0.15
## Professionalism.6    0.14    -2.13 0.14
## Professionalism.7   -1.70     0.99 0.10
## Professionalism.8   -1.13    -0.76 0.12
## Professionalism.9   -0.42    -1.96 0.14
## Global              -1.33     0.52 0.28
## -------------------------------------------------------- 
## group: 3
##                     vars  n mean   sd median trimmed  mad min max range
## Counseling.1           1 10 4.20 0.79      4    4.25 1.48   3   5     2
## Counseling.2           2  7 4.43 0.53      4    4.43 0.00   4   5     1
## Counseling.3           3 11 4.55 0.52      5    4.56 0.00   4   5     1
## Counseling.4           4 11 4.55 0.52      5    4.56 0.00   4   5     1
## Counseling.5           5 11 4.55 0.52      5    4.56 0.00   4   5     1
## Counseling.6           6 11 4.45 0.52      4    4.44 0.00   4   5     1
## Counseling.7           7 11 4.82 0.40      5    4.89 0.00   4   5     1
## Counseling.8           8 11 4.36 0.67      4    4.44 1.48   3   5     2
## Counseling.9           9 10 3.90 0.74      4    3.88 0.74   3   5     2
## Counseling.10         10 11 4.18 0.75      4    4.22 1.48   3   5     2
## Counseling.11         11 10 4.20 0.42      4    4.12 0.00   4   5     1
## Counseling.12         12 11 4.36 0.50      4    4.33 0.00   4   5     1
## Counseling.13         13  9 3.89 0.60      4    3.89 0.00   3   5     2
## Counseling.14         14  4 3.75 0.50      4    3.75 0.00   3   4     1
## Conceptualization.1   15 10 4.30 0.67      4    4.38 0.74   3   5     2
## Conceptualization.2   16 10 4.20 0.63      4    4.25 0.00   3   5     2
## Conceptualization.3   17 10 4.50 0.71      5    4.62 0.00   3   5     2
## Conceptualization.4   18 10 4.50 0.71      5    4.62 0.00   3   5     2
## Supervision..1        19 11 4.91 0.30      5    5.00 0.00   4   5     1
## Supervision..2        20 11 4.82 0.40      5    4.89 0.00   4   5     1
## Supervision..3        21 11 4.82 0.40      5    4.89 0.00   4   5     1
## Supervision..4        22 11 4.82 0.40      5    4.89 0.00   4   5     1
## Supervision..5        23 11 4.82 0.40      5    4.89 0.00   4   5     1
## Professionalism.1     24 11 4.91 0.30      5    5.00 0.00   4   5     1
## Professionalism.2     25 11 4.91 0.30      5    5.00 0.00   4   5     1
## Professionalism.3     26 11 4.55 0.52      5    4.56 0.00   4   5     1
## Professionalism.4     27 11 4.36 0.81      5    4.44 0.00   3   5     2
## Professionalism.5     28 11 4.18 0.75      4    4.22 1.48   3   5     2
## Professionalism.6     29 11 4.36 0.67      4    4.44 1.48   3   5     2
## Professionalism.7     30 11 4.82 0.40      5    4.89 0.00   4   5     1
## Professionalism.8     31 11 4.27 0.65      4    4.33 0.00   3   5     2
## Professionalism.9     32 11 4.73 0.47      5    4.78 0.00   4   5     1
## Global                33 11 8.73 1.19      9    8.78 1.48   7  10     3
##                      skew kurtosis   se
## Counseling.1        -0.29    -1.50 0.25
## Counseling.2         0.23    -2.20 0.20
## Counseling.3        -0.16    -2.15 0.16
## Counseling.4        -0.16    -2.15 0.16
## Counseling.5        -0.16    -2.15 0.16
## Counseling.6         0.16    -2.15 0.16
## Counseling.7        -1.43     0.08 0.12
## Counseling.8        -0.44    -1.08 0.20
## Counseling.9         0.12    -1.35 0.23
## Counseling.10       -0.25    -1.37 0.23
## Counseling.11        1.28    -0.37 0.13
## Counseling.12        0.49    -1.91 0.15
## Counseling.13       -0.01    -0.64 0.20
## Counseling.14       -0.75    -1.69 0.25
## Conceptualization.1 -0.31    -1.14 0.21
## Conceptualization.2 -0.09    -0.93 0.20
## Conceptualization.3 -0.85    -0.75 0.22
## Conceptualization.4 -0.85    -0.75 0.22
## Supervision..1      -2.47     4.52 0.09
## Supervision..2      -1.43     0.08 0.12
## Supervision..3      -1.43     0.08 0.12
## Supervision..4      -1.43     0.08 0.12
## Supervision..5      -1.43     0.08 0.12
## Professionalism.1   -2.47     4.52 0.09
## Professionalism.2   -2.47     4.52 0.09
## Professionalism.3   -0.16    -2.15 0.16
## Professionalism.4   -0.63    -1.31 0.24
## Professionalism.5   -0.25    -1.37 0.23
## Professionalism.6   -0.44    -1.08 0.20
## Professionalism.7   -1.43     0.08 0.12
## Professionalism.8   -0.22    -1.04 0.19
## Professionalism.9   -0.88    -1.31 0.14
## Global              -0.17    -1.68 0.36

evs.means.d  <- evs.means[,1:3] %*% c(-.5, -.5, 1)
evs.means <- cbind(evs.means[,1:3], evs.means.d)

Cohort 3 worse than the average of 1 & 2 —

evs.means[order(evs.means[,4]),]
##                            1        2        3             
## Counseling.14       4.142857 4.833333 3.750000 -0.738095238
## Professionalism.5   4.222222 4.846154 4.181818 -0.352369852
## Counseling.13       4.000000 4.333333 3.888889 -0.277777778
## Counseling.10       4.333333 4.416667 4.181818 -0.193181818
## Counseling.9        3.888889 4.181818 3.900000 -0.135353535
## Counseling.11       4.222222 4.416667 4.200000 -0.119444444
## Professionalism.8   3.888889 4.769231 4.272727 -0.056332556
## Professionalism.4   4.222222 4.615385 4.363636 -0.055167055
## Conceptualization.2 4.111111 4.384615 4.200000 -0.047863248
## Counseling.8        4.222222 4.538462 4.363636 -0.016705517
## Counseling.1        4.000000 4.416667 4.200000 -0.008333333
## Counseling.3        4.333333 4.769231 4.545455 -0.005827506
## Conceptualization.1 4.111111 4.384615 4.300000  0.052136752
## Counseling.5        4.333333 4.538462 4.545455  0.109557110
## Counseling.4        4.222222 4.615385 4.545455  0.126651127
## Supervision..5      4.555556 4.769231 4.818182  0.155788656
## Professionalism.3   4.000000 4.750000 4.545455  0.170454545
## Counseling.12       3.888889 4.461538 4.363636  0.188422688
## Professionalism.6   3.888889 4.461538 4.363636  0.188422688
## Counseling.6        4.222222 4.230769 4.454545  0.228049728
## Supervision..3      4.333333 4.769231 4.818182  0.266899767
## Professionalism.7   4.222222 4.846154 4.818182  0.283993784
## Counseling.7        4.111111 4.923077 4.818182  0.301087801
## Conceptualization.3 3.857143 4.500000 4.500000  0.321428571
## Supervision..2      4.333333 4.615385 4.818182  0.343822844
## Conceptualization.4 3.714286 4.583333 4.500000  0.351190476
## Supervision..4      4.222222 4.692308 4.818182  0.360916861
## Professionalism.9   4.111111 4.615385 4.727273  0.364024864
## Professionalism.1   4.222222 4.846154 4.909091  0.374902875
## Professionalism.2   4.222222 4.833333 4.909091  0.381313131
## Supervision..1      4.222222 4.692308 4.909091  0.451825952
## Global              7.812500 8.500000 8.727273  0.571022727
## Counseling.2        3.600000 4.000000 4.428571  0.628571429

According to this statistic, we should probably be concerned about: