Statistical Report on Numeralica

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  x  x  x  x  x
11 13 15 16 21 24 25 26 27 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  x  x  x  x  x 
17 21 23 25 27 29 30 31 32 35 38 41 42 43 44 46 48 59 64 69

Sex distribution

Male Female
30 1

Country distribution

IT JP US ES CN AR AU AT BA BR BG HR GR IL IN MA RU RS SG UK VE VN
4 3 3 2 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 OCT DEC
2025 6 14 3 2 2 2 2

Sample information

N = 31

Lowest raw score = 11

Highest raw score = 35

Range = 25

Resolution = 4.5


Central tendency and dispersion

Mean = 27.06

Median = 29

Mode = 33

Raw score standard deviation = 6.94

Quartile deviation = 4

Standard error of measurement = 1.81 raw score points


Distribution shape

Skewness = -1.2

Excess Kurtosis = 0.41


Test difficulty

Sample-dependent Hardness = 0.17

Sample-independent Hardness = 0.23

Items solved by all = 3

Items solved by none = 0


Reliability

Cronbach's alpha = 0.9317

Split Half Reliability Index = 0.8827

Spearman–Brown corrected = 0.9377

McDonald's omega = 0.9355


Test dimensionality = unidimensional

Overall discrimination = 0.5369

Designation Discrimination index Number of items
Excellent ≥0.7 3
Very Good 0.6–0.6999 6
Good 0.5–0.5999 16
Acceptable 0.4–0.4999 2
Borderline 0.3–0.3999 2
Poor 0.2–0.2999 3
Nonfunctional ≤0.1999 0
Insufficient data NaN 3

You can find explanations about the discrimination computation here.


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