Calculates comprehensive descriptive statistics for a test, including measures of central tendency, variability, distribution shape, and reliability.
Arguments
- U
Either an object of class "exametrika" or raw data. When raw data is given, it is converted to the exametrika class with the
dataFormatfunction.- na
Values to be treated as missing values
- Z
Missing indicator matrix of type matrix or data.frame. Values of 1 indicate observed responses, while 0 indicates missing data.
- w
Item weight vector specifying the relative importance of each item
Value
An object of class "exametrika" and "TestStatistics" containing:
- TestLength
Number of items included in the test
- SampleSize
Number of examinees (rows) in the dataset
- Mean
Average score across all examinees
- Median
Median score
- SD
Standard deviation of test scores
- Variance
Variance of test scores
- Skewness
Skewness of the score distribution (measure of asymmetry)
- Kurtosis
Kurtosis of the score distribution (measure of tail extremity)
- Min
Minimum score obtained
- Max
Maximum score obtained
- Range
Difference between maximum and minimum scores
- Alpha
Cronbach's alpha coefficient, a measure of internal consistency reliability
Details
This function is intended for non-binary (ordinal or rated) response data. It calculates descriptive statistics for the overall test performance. If binary data is provided, an error message will be displayed.
Examples
# \donttest{
# Generate score report for sample ordinal data
ScoreReport(J15S3810)
#> Test Statistics
#> value
#> SampleSize 3810.0000000
#> TestLength 15.0000000
#> Median 15.0000000
#> Max 27.0000000
#> Min 0.0000000
#> Range 27.0000000
#> Mean 14.9939633
#> SD 4.5139980
#> Skewness 0.3003000
#> Kurtosis -0.4333525
#> Alpha 0.4496500
# Example with rated data
ScoreReport(J35S5000)
#> Test Statistics
#> value
#> SampleSize 5000.00000000
#> TestLength 35.00000000
#> Median 17.00000000
#> Max 35.00000000
#> Min 2.00000000
#> Range 33.00000000
#> Mean 16.91100000
#> SD 4.97699036
#> Skewness 0.31342138
#> Kurtosis -0.07429596
#> Alpha 0.70437957
# }
