Statistical report on the Numerus Strictus Logicae

Histogram of scores

 x  x  x  x  x
04 07 15 17 19

Histogram of ages

 x
 x  x  x  x
25 38 44 55

Sex distribution

Male Female
3 2

Country distribution

IT JP RO US
1 1 1 2

Date when taken

JUN JUL AUG SEP NOV
2024 0 1 0 0 1
2025 1 0 1 1 0

Sample information

N = 5

Lowest raw score = 4

Highest raw score = 19

Range = 16

Resolution = 6.25

Central tendency and dispersion

Mean = 12.4

Median = 15

Raw score standard deviation = 5.85

Quartile deviation = 5

Standard error of measurement = 1.6 raw score points

Distribution shape

Skewness = -0.52

Excess Kurtosis = -2.39

Test difficulty

Sample-dependent Hardness = 0.58

Sample-independent Hardness = 0.68

Items solved by all = 4

Items solved by none = 15

Reliability

Cronbach's alpha = 0.9252

Split Half Reliability Index = 0.9292

Spearman–Brown corrected = 0.9633

McDonald's omega = 0.9542


Test dimensionality = unidimensional

Overall discrimination = 0.7212

Designation Discrimination index Number of items
Excellent ≥0.7 9
Very Good 0.6–0.6999 3
Good 0.5–0.5999 3
Acceptable 0.4–0.4999 0
Borderline 0.3–0.3999 1
Poor 0.2–0.2999 0
Nonfunctional ≤0.1999 1
Insufficient data NaN 19

You can find explanations about the discrimination computation here.


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