Statistical Report on Calculus Luminis Mensura

Histogram of scores

                   x
 x  x  x  x  x  x  x
27 32 33 34 35 37 39

Histogram of ages

 x  x  x  x  x  x  x  x
20 21 27 35 38 41 44 46

Sex distribution

Male Female
8 0

Country distribution

CN IT ES FR PL RS
2 2 1 1 1 1

Date when taken

APR MAY AUG NOV DEC
2024 0 0 0 3 1
2025 2 1 1 0 0

Sample information

N = 8

Lowest raw score = 27

Highest raw score = 39

Range = 13

Resolution = 3.13


Central tendency and dispersion

Mean = 34.5

Median = 34.5

Mode = 39

Raw score standard deviation = 3.74

Quartile deviation = 2.38

Standard error of measurement = 1.56 raw score points


Distribution shape

Skewness = -0.72

Excess Kurtosis = 0.55


Test difficulty

Sample-dependent Hardness = 0.12

Sample-independent Hardness = 0.11

Items solved by all = 23

Items solved by none = 0


Reliability

Cronbach's alpha = 0.827

Split Half Reliability Index = 0.77

Spearman–Brown corrected = 0.87

McDonald's omega = 0.8347


Test dimensionality = multidimensional

Overall discrimination = 0.4891

Designation Discrimination index Number of items
Excellent ≥0.7 6
Very Good 0.6–0.6999 3
Good 0.5–0.5999 2
Acceptable 0.4–0.4999 0
Borderline 0.3–0.3999 0
Poor 0.2–0.2999 1
Nonfunctional ≤0.1999 4
Insufficient data NaN 23

You can find explanations about the discrimination computation here.


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