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Exam Statistics and Results
Table: ceStatsExam
Aggregation of all Item Stats for the Exam.
Field | Description |
---|---|
StatsID | Unique Identifier for this set of Statistics |
QtyQuestions | Count of all Items on the Exam |
QtyCandidates | Count of all Candidates taking the Exam |
QtyCompetencies | Count of distinct Competencies from all Items on the Exam |
QtySections | Count of Sections on the Exam |
ValueMax | Maximum achievable points for Exam, from sum of all Value Max of Items on the Exam |
QtyCorrect | Total of all QtyCorrect for all Items on the Exam |
QtySkipped | Total of all QtySkipped for all Items on the Exam |
QtyIncorrect | Total of all QtyIncorrect for all Items on the Exam |
RawPercent | x = Count of Correct Items on Exam n = Count of Candidates on Exam k = Count of Items on Exam ![]() |
ValueCorrect | Total of all ValueCorrect for all Items on the Exam |
ValueSkipped | Total of all ValueSkipped for all Items on the Exam |
ValueIncorrect | Total of all ValueIncorrect for all Items on the Exam |
ValueTotal | (ValueCorrect + ValueSkipped + ValueIncorrect) |
ValuePercent | ![]() |
Difficulty | x = Count of Correct Items on Exam n = Count of Candidates on Exam k = Count of Items on Exam ![]() |
RawHigh | Highest QtyCorrect achieved by a Candidate on the Exam |
RawLow | Lowest QtyCorrect achieved by a Candidate on the Exam |
RawMean | Mean (average) QtyCorrect achieved by a Candidate on the Exam |
RawVariance | Variance of QtyCorrect for all Candidates on the Exam |
RawStdev | Standard Deviation of QtyCorrect for all Candidates on the Exam |
ValueHigh | Highest ValueTotal achieved by a Candidate on the Exam |
ValueLow | Lowest ValueTotal achieved by a Candidate on the Exam |
ValueMean | Mean (average) ValueTotal achieved by a Candidate on the Exam |
ValueVariance | Variance of ValueTotal for all Candidates on the Exam |
ValueStdev | Standard Deviation of ValueTotal for all Candidates on the Exam |
ValueMedian | Median (middle) ValueTotal for all Candidates on the Exam |
ValueMode | Mode (most frequent) ValueTotal for all Candidates on the Exam |
PercentDistribution | Text field which holds a summary of the score distributions. Not a statistic, but used in reporting |
QtyPassExam | Count of Candidates that passed Exam. See Candidate Statistics (PassExam) ![]() |
SpearmanRank | n = Number of Candidates RankOdd = Candidates Ranking on Odd Items only compared to all other Candidates on Exam RankEven = Candidates Ranking on Odd Items only compared to all other Candidates on Exam ![]() |
SpearmanBrown | ![]() |
KuderRichardson20 | k = Count of Items on Exam Total Test Variance = Variance of Candidate Raw Scores Sum of p*q = sum of all items p (difficulty) * q (1-p) for all items in Exam k/1)*2)/(Total Test Variance) ![]() |
KuderRichardson21 | qtyX = Count Items answered correctly on Exam x ̅ = Mean of QtyCorrect for each Candidate on Exam s = StDev of Raw Scores of all Candidates on Exam qtyX/3)* 4))/5) ![]() |
StandardError | s = StDev of QtyCorrect for Exam n = Count of Candidates s/√n ![]() |
AlphaCoefficient|k = Count of Items on Exam
Total Test Variance = Variance of Candidate Raw Scores
Sum of Item Variance = Sum of all item variances on Exam
k/6)*7)/(Total Test Variance) graphic|
Skewness | n = Count of Candidates xi = QtyCorrect for each Candidate on Exam x ̅ = Mean of QtyCorrect on Exam s = StDev of QtyCorrect on Exam n/8) ∑▒9)/√(n* (n-1)) ![]() |
Kurtosis |
(n(n+1) ∑▒(x_i- x ̅ ) ^4)/10)/11)-6)/12) graphic|
AlternateSystem | Stores Alternate Value used for Calculation (True, Custom, ZScore, TScore,…) see Alternate Scores ![]() |
AlternateBase | Alternate used in Alternate Calculations see Alternate Scores ![]() |
AlternateMean | Alternate Mean used in Alternate Calculations see Alternate Scores ![]() |
AlternateStDev | Alternate Standard Deviation used in Alternate Calculations see Alternate Scores ![]() |
QuestionLogitSum | Future use |
QuestionLogitMean | Future use |
QuestionLogitVariance | Future use |
QuestionLogitSquaredSum | Future use |
QuestionSpreadExpansion | Future use |
CandidateLogitSum | Future use |
CandidateLogitMean | Future use |
CandidateLogitVariance | Future use |
CandidateLogitSquaredSum | Future use |
CandidateSpreadExpansion | Future use |
2)
Total Test Variance- ∑▒〖(p*q)〗
3)
qtyX-1
4)
1-x ̅*(qtyX-x ̅
5)
qtyX*s
7)
Total Test Variance- ∑▒〖Item Variance〗
8)
n-1)(n-2
9)
x_i- x ̅)/s) ^3
graphic
Calculate Population Skewness using Sample Skewness
(SkewS*(n-2

Calculate Population Skewness using Sample Skewness
(SkewS*(n-2
10)
n-1)(n-2)(n-3) s^4 ) - (3〖(n-1)〗^2)/(n-2)(n-3)
graphic
Calculate Population Kurtosis using Sample Kurtosis
((KurtS*(n-2)*(n-3

Calculate Population Kurtosis using Sample Kurtosis
((KurtS*(n-2)*(n-3
11)
n-1
12)
n+1