Statistical report on the Logica Rigor Numerorum

Histogram of scores

 x
 x  x  x  x  x
19 21 26 27 28

Histogram of ages

       x
 x  x  x  x  x
27 30 38 44 46

Sex distribution

Male Female
6 0

Country distribution

CN ES IT RS US
2 1 1 1 1

Date when taken

APR JUN AUG NOV
2024 0 0 0 2
2025 2 1 1 0

Sample information

N = 6

Lowest raw score = 19

Highest raw score = 28

Range = 10

Resolution = 4.13

Central tendency and dispersion

Mean = 23.33

Median = 23.5

Mode = 19

Raw score standard deviation = 3.77

Quartile deviation = 3.63

Standard error of measurement = 1.88 raw score points

Distribution shape

Skewness = -0.02

Excess Kurtosis = -2.79

Test difficulty

Sample-dependent Hardness = 0.38

Sample-independent Hardness = 0.43

Items solved by all = 12

Items solved by none = 6

Reliability

Cronbach's alpha = 0.7502

Split Half Reliability Index = 0.6862

Spearman–Brown corrected = 0.8139

McDonald's omega = 0.8336


Test dimensionality = essential unidimensionality

Overall discrimination = 0.3457

Designation Discrimination index Number of items
Excellent ≥0.7 6
Very Good 0.6–0.6999 0
Good 0.5–0.5999 1
Acceptable 0.4–0.4999 5
Borderline 0.3–0.3999 1
Poor 0.2–0.2999 1
Nonfunctional ≤0.1999 6
Insufficient data NaN 18

You can find explanations about the discrimination computation here.


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