Statistical report on the Numerus Strictus Logicae

Histogram of scores

       x         
 x  x  x  x  x  x
04 07 15 17 19 20

Histogram of ages

 x
 x  x  x  x  x  x
25 28 38 44 54 55

Sex distribution

Male Female
5 2

Country distribution

CN IT JP RO US
1 1 1 1 3

Date when taken

JAN FEB JUN JUL AUG SEP NOV
2024 0 0 0 1 0 0 1
2025 0 0 1 0 1 1 0
2026 1 1 0 0 0 0 0

Sample information

N = 7

Lowest raw score = 4

Highest raw score = 20

Range = 17

Resolution = 6

Central tendency and dispersion

Mean = 13.86

Median = 15

Mode = 15

Raw score standard deviation = 5.62

Quartile deviation = 3.5

Standard error of measurement = 1.63 raw score points

Distribution shape

Skewness = -0.92

Excess Kurtosis = -0.62

Test difficulty

Sample-dependent Hardness = 0.58

Sample-independent Hardness = 0.6

Items solved by all = 4

Items solved by none = 14

Reliability

Cronbach's alpha = 0.9155

Split Half Reliability Index = 0.903

Spearman–Brown corrected = 0.949

McDonald's omega = 0.9429


Test dimensionality = unidimensional

Overall discrimination = 0.6745

Designation Discrimination index Number of items
Excellent ≥0.7 7
Very Good 0.6–0.6999 4
Good 0.5–0.5999 2
Acceptable 0.4–0.4999 2
Borderline 0.3–0.3999 3
Poor 0.2–0.2999 0
Nonfunctional ≤0.1999 0
Insufficient data NaN 18

You can find explanations about the discrimination computation here.


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