Statistical report on the Numeralica

(by Marc-André Nydegger)

Histogram of scores

                                     x  
                                     x  
                         x           x  
             x        x  x     x  x  x  x
 x  x  x  x  x  x  x  x  x  x  x  x  x  x  x
11 13 15 16 24 26 25 28 29 30 31 32 33 34 35

Histogram of ages

                         x
                         x
    x  x                 x  x        x              x
 x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x  x 
17 21 23 25 29 31 32 35 38 41 42 43 44 46 48 59 64 69

Sex distribution

Male Female
26 0

Country distribution

IT US ES AR AU AT BA BR BG CN HR GR IL JP MA RU RS SG UK VE
4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Date when taken

MAR APR MAY JUN JUL
2025 6 14 3 1 2

Sample information

N = 26

Lowest raw score = 11

Highest raw score = 35

Range = 25

Resolution = 4.13

Central tendency and dispersion

Mean = 27.73

Median = 29.5

Mode = 33

Raw score standard deviation = 6.72

Quartile deviation = 3.88

Standard error of measurement = 1.76 raw score points

Distribution shape

Skewness = -1.33

Excess Kurtosis = 0.8

Test difficulty

Sample-dependent Hardness = 0.16

Sample-independent Hardness = 0.15

Items solved by all = 3

Items solved by none = 0

Reliability

Cronbach's alpha = 0.9313

Split Half Reliability Index = 0.8845

Spearman–Brown corrected = 0.9387

McDonald's omega = 0.9372


Test dimensionality = unidimensional

Overall discrimination = 0.5412

Designation Discrimination index Number of items
Excellent ≥0.7 3
Very Good 0.6–0.6999 7
Good 0.5–0.5999 10
Acceptable 0.4–0.4999 8
Borderline 0.3–0.3999 3
Poor 0.2–0.2999 1
Nonfunctional ≤0.1999 0
Insufficient data NaN 3

You can find explanations about the discrimination computation here.


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