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Item Statistics and Results

Table: ceStatsExamQuestion

Aggregate of Candidate Items Stats for each Item on the Exam.

FieldDescription
StatsIDUnique Identifier for this set of Statistics
QtyQuestionsCount of all Items on the Exam
QtyCandidatesCount of all Candidates taking the Exam
QtyCompetenciesCount of distinct Competencies from all Items on the Exam
QtySectionsCount of Sections on the Exam
ValueMaxMaximum achievable points for Exam, from sum of all Value Max of Items on the Exam
QtyCorrectTotal of all QtyCorrect for all Items on the Exam
QtySkippedTotal of all QtySkipped for all Items on the Exam
QtyIncorrectTotal of all QtyIncorrect for all Items on the Exam
RawPercentx = Count of Correct Items on Exam
n = Count of Candidates on Exam
k = Count of Items on Exam

ValueCorrectTotal of all ValueCorrect for all Items on the Exam
ValueSkippedTotal of all ValueSkipped for all Items on the Exam
ValueIncorrectTotal of all ValueIncorrect for all Items on the Exam
ValueTotal(ValueCorrect + ValueSkipped + ValueIncorrect)
ValuePercent
Difficultyx = Count of Correct Items on Exam
n = Count of Candidates on Exam
k = Count of Items on Exam

RawHighHighest QtyCorrect achieved by a Candidate on the Exam
RawLowLowest QtyCorrect achieved by a Candidate on the Exam
RawMeanMean (average) QtyCorrect achieved by a Candidate on the Exam
RawVarianceVariance of QtyCorrect for all Candidates on the Exam
RawStdevStandard Deviation of QtyCorrect for all Candidates on the Exam
ValueHighHighest ValueTotal achieved by a Candidate on the Exam
ValueLowLowest ValueTotal achieved by a Candidate on the Exam
ValueMeanMean (average) ValueTotal achieved by a Candidate on the Exam
ValueVarianceVariance of ValueTotal for all Candidates on the Exam
ValueStdevStandard Deviation of ValueTotal for all Candidates on the Exam
ValueMedianMedian (middle) ValueTotal for all Candidates on the Exam
ValueModeMode (most frequent) ValueTotal for all Candidates on the Exam
PercentDistributionText field which holds a summary of the score distributions. Not a statistic, but used in reporting
QtyPassExamCount of Candidates that passed Exam. See Candidate Statistics (PassExam) FIXME link
SpearmanRankn = 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
KuderRichardson20k = 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

KuderRichardson21qtyX = 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

StandardErrors = StDev of QtyCorrect for Exam
n = Count of Candidates
AlphaCoefficientk = Count of Items on Exam
Total Test Variance = Variance of Candidate Raw Scores
Sum of Item Variance = Sum of all item variances on Exam

Skewnessn = Count of Candidates
xi = QtyCorrect for each Candidate on Exam
x ̅ = Mean of QtyCorrect on Exam
s = StDev of QtyCorrect on Exam



Calculate Population Skewness using Sample Skewness

Kurtosisn = Count of Candidates
xi = QtyCorrect for each Candidate on Exam
x ̅ = Mean of QtyCorrect for Exam
s = StDev of QtyCorrect for Exam

Calculate Sample Kurtosis

Calculate Population Kurtosis using Sample Kurtosis

AlternateSystemStores Alternate Value used for Calculation (True, Custom, ZScore, TScore,…) see Alternate Scores FIXME link
AlternateBaseAlternate used in Alternate Calculations see Alternate Scores FIXME link
AlternateMeanAlternate Mean used in Alternate Calculations see Alternate Scores FIXME link
AlternateStDevAlternate Standard Deviation used in Alternate Calculations see Alternate Scores FIXME link
QuestionLogitSumFuture use
QuestionLogitMeanFuture use
QuestionLogitVarianceFuture use
QuestionLogitSquaredSumFuture use
QuestionSpreadExpansionFuture use
CandidateLogitSumFuture use
CandidateLogitMeanFuture use
CandidateLogitVarianceFuture use
CandidateLogitSquaredSumFuture use
CandidateSpreadExpansionFuture use

Aggregate of Candidate Items Stats for each Item on the Exam. StatsID Unique Identifier for this set of Statistics QuestionID ID of Item in the Bank Sequence Sequence of Item on the Exam ValueMax Maximum achievable points for Item QtyCorrect Total of all QtyCorrect for Item for all Candidates QtySkipped Total of all QtySkipped for Item for all Candidates QtyIncorrect Total of all QtyIncorrect for Item for all Candidates RawPercent x = Count of Correct Items on Exam n = Count of Candidates on Exam x/(n*100) ValueCorrect Total of all ValueCorrect for Item for all Candidates ValueSkipped Total of all ValueSkipped for Item for all Candidates ValueIncorrect Total of all ValueIncorrect for Item for all Candidates ValueTotal (ValueCorrect + ValueSkipped + ValueIncorrect) ValuePercent ValueTotal/(ValueMax*100) Difficulty (p) x = Count of Correct Items on Exam n = Count of Candidates on Exam x/n ValueLow Lowest ValueTotal achieved by a Candidate for this Item ValueHigh Highest ValueTotal achieved by a Candidate for this Item ValueMean Mean (average) ValueTotal achieved by a Candidate for this Item ValueStdev Standard Deviation of ValueTotal for all Candidates for this Item ValueVariance Variance of ValueTotal for all Candidates for this Item ValueMedian Median (middle) ValueTotal for all Candidates for this Item ValueMode Mode (most frequent) ValueTotal for all Candidates for this Item QuestionDiscrimination Q1 is the Count of Candidates who responded correctly to Item whose Value total is in the top 27% of all Candidates taking the Exam. Q4 is the Count of Candidates who responded correctly to Item whose Value total is in the top 27% of all Candidates taking the Exam. A value between -1 and 1 n = Count of Candidates 1)/n Biserial Currently Uncalculated. Point Biserial m1 = Mean of correct on Exam for all Candidates that answered correctly. m0 = Mean of correct on Exam for all Candidates that answered incorrectly. n1 = Count of all Candidates that answered correctly. n0 = Count of all Candidates that answered incorrectly. s = Standard deviation of Candidate correct on Exam n = Total number of Candidates on Exam

2)/3)* √4)/5)) QtyCorrectTop50 Count of Candidates who responded correctly to Item whose Value total was in top 50% of all Candidates taking Exam QtyCorrectBottom50 Count of Candidates who responded incorrectly to Item whose Value total was in top 50% of all Candidates taking Exam TimeTotal Total Time for all Candidates on this Item. Used in Online testing Dichotomous True if Item has one correct response worth 1 point and all other responses are incorrect worth 0 points. PROXScore Future use PROXProportion Future use PROXLogit Future use PROXCalibration Future use PROXCalibrationFinal Future use PROXCalibrationError Future use IncludeStats True if Item is not experimental

1)
Q1-Q4
2)
m_1-m_o
3)
s
4)
(n_1*n_0
5)
n * (n - 1