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2 Answers 2

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Final results overall

Comparison to five previous site self-evaluations:

Net score data

             _______________Month_/_Year________________
Question_#__|__8/14_____2/14_____11/13_____8/13_____5/13_____5/12
         1  |   7        5         3        7        6        7
         2  |   7        3         3        6        4        7
         3  |   4        1         2        6        4        7
         4  |   4        1         2        6        3        7
         5  |   4        0         0        6        3        6
         6  |   2        0         0        5        3        5
         7  |   0        0        -1        3        2        4
         8  |  -2       -4        -1        2        2       -2
         9  |  -4       -4        -1        1        1       -3
        10  |  -7       -5        -4       -2        1       -3

Descriptive statistics

Month/Year:   8/14   2/14   11/13   8/13   5/13   5/12
   Medians:    3      0       0      5.5    3      5.5
     Means:    1.5    -.3      .3    4      2.9    3.5
        SD:    4.7    3.2     2.2    2.9    1.5    4.4

Inferential statistics

Kruskal–Wallis χ² = 13.6, df = 5, p = .02; self-evaluations' net scores are distributed differently. However, no post-hoc comparisons (Dwass–Steel–Chritchlow–Fligner test – Steel.Dwass() in RcmdrPlugin.EZR package; see also this reference) achieve p < .05; only the difference between 2/14 and 8/13 came close (t = 2.74, p = .067). These net scores still correlate negatively with order of site evaluation (Kendall's τ = -.25, which converts to r = -.39 using this method; zτ = 2.6, p = .01), indicating a downward trend. The linear model plotted above using the Theil–Sen single median estimator (in the mblm package) is scorei = .75×timei - .5 + εi; its standardized βtime = .36, not .39.

This month's set has the greatest variance so far, which suggests ratings may be heteroskedastic across time. However, a Brown–Forsythe test (levene.test() in the lawstat package) can't reject the null of homogeneous absolute deviations from the median (statistic = 1.7, p = .15).

Discussion

Despite the overall trend since the first evaluation, scores are up since our last evaluation. All pairwise differences are insignificant when comparing ratings aggregated to the question level, but the omnibus test is still picking up overall differences in ranks of scores across evaluations.

I'm still ignoring dependencies across time (e.g., I participated in the last evaluation too) and the hierarchical structure of individual ratings nested within questions, which I'm comparing across evaluation periods. Again, the May '12 scores may not be comparable due to method variance.

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Final Results

Net Score: 7 (Excellent: 7, Satisfactory: 3, Needs Improvement: 0)


Net Score: 7 (Excellent: 7, Satisfactory: 1, Needs Improvement: 0)


Net Score: 4 (Excellent: 4, Satisfactory: 5, Needs Improvement: 0)


Net Score: 4 (Excellent: 4, Satisfactory: 4, Needs Improvement: 0)


Net Score: 4 (Excellent: 4, Satisfactory: 4, Needs Improvement: 0)


Net Score: 2 (Excellent: 3, Satisfactory: 4, Needs Improvement: 1)


Net Score: 0 (Excellent: 2, Satisfactory: 5, Needs Improvement: 2)


Net Score: -2 (Excellent: 2, Satisfactory: 3, Needs Improvement: 4)


Net Score: -4 (Excellent: 1, Satisfactory: 3, Needs Improvement: 5)


Net Score: -7 (Excellent: 1, Satisfactory: 0, Needs Improvement: 8)


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