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stats_item [2017/02/10 11:57]
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stats_item [2018/04/10 11:17] (current)
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-====== ​Exam Statistics and Results ====== +====== ​Item Statistics and Results ====== 
-Table: **ceStatsExam**+Table: **ceStatsExamQuestion**
  
-Aggregation ​of all [[Stats_Item|Item Stats]] for the Exam.+Aggregate ​of [[stats_candidate_item|Candidate ​Item Stats]] for each Item on the Exam.
  
 ^Field^Description^ ^Field^Description^
 |StatsID|Unique Identifier for this set of Statistics| |StatsID|Unique Identifier for this set of Statistics|
-|QtyQuestions|Count of all Items on the Exam+|QuestionID|ID of Item in the Bank
-|QtyCandidates|Count of all Candidates taking the Exam| +|Sequence|Sequence ​of Item on the Exam| 
-|QtyCompetencies|Count of distinct Competencies from all Items on the Exam| +|ValueMax|Maximum achievable points for Item
-|QtySections|Count ​of Sections ​on the Exam| +|QtyCorrect|Total of all QtyCorrect ​for Item for all Candidates
-|ValueMax|Maximum achievable points for Exam, from sum of all Value Max of Items on the Exam+|QtySkipped|Total of all QtySkipped ​for Item for all Candidates
-|QtyCorrect|Total of all QtyCorrect for all Items on the Exam+|QtyIncorrect|Total of all QtyIncorrect ​for Item for all Candidates
-|QtySkipped|Total of all QtySkipped for all Items on the Exam+|RawPercent|x = Count of Correct Items on Exam \\ n = Count of Candidates on Exam \\ \\ {{:stat_rawpercent_candidate.png|}}| 
-|QtyIncorrect|Total of all QtyIncorrect for all Items on the Exam+|ValueCorrect|Total of all ValueCorrect ​for Item for all Candidates
-|RawPercent|x = Count of Correct Items on Exam \\ n = Count of Candidates ​on Exam \\ k = Count of Items on Exam \\ \\ {{:stat_rawpercent.png|}}| +|ValueSkipped|Total of all ValueSkipped ​for Item for all Candidates
-|ValueCorrect|Total of all ValueCorrect for all Items on the Exam+|ValueIncorrect|Total of all ValueIncorrect ​for Item for all Candidates|
-|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)| |ValueTotal|(ValueCorrect + ValueSkipped + ValueIncorrect)|
 |ValuePercent|{{:​stat_valuepercent.png|}}| |ValuePercent|{{:​stat_valuepercent.png|}}|
-|Difficulty|x = Count of Correct Items on Exam \\ n = Count of Candidates on Exam \\ k = Count of Items on Exam \\ \\ {{:stat_difficulty.png|}}| +|Difficulty|x = Count of Correct Items on Exam \\ n = Count of Candidates on Exam \\ \\ {{:​stat_difficulty_candidate.png|}}| 
-|RawHigh|Highest QtyCorrect achieved by a Candidate on the Exam+|QuestionDiscrimination|A value between -1 and 1 \\ \\ 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 bottom27% of all Candidates taking the Exam. \\ n = Count of Candidates ​\\ \\ {{:stat_questiondiscrimination.png|}}| 
-|RawLow|Lowest QtyCorrect achieved by a Candidate on the Exam+|BiserialExam|Future
-|RawMean|Mean (average) QtyCorrect achieved by a Candidate on the Exam+|PointBiserialExam|See [[stats_concepts#​biserial_calculations|Biserials]]
-|RawVariance|Variance of QtyCorrect for all Candidates on the Exam+|BiserialCorrectedExam|See [[stats_concepts#​biserial_calculations|Biserials]]
-|RawStdev|Standard Deviation of QtyCorrect for all Candidates on the Exam+| 
-|ValueHigh|Highest ​ValueTotal achieved by a Candidate ​on the Exam+|PointBiserialCorrectedExam|See [[stats_concepts#​biserial_calculations|Biserials]]
-|ValueLow|Lowest ​ValueTotal achieved by a Candidate ​on the Exam+|BiserialSection|Future
-|ValueMean|Mean (average) ValueTotal achieved by a Candidate ​on the Exam+|PointBiserialSection|See [[stats_concepts#​biserial_calculations|Biserials]]| 
-|ValueVariance|Variance ​of ValueTotal for all Candidates ​on the Exam+|BiserialCorrectedSection|See [[stats_concepts#​biserial_calculations|Biserials]]| 
-|ValueStdev|Standard Deviation ​of ValueTotal for all Candidates ​on the Exam+|PointBiserialCorrectedSection|See [stats_concepts#​biserial_calculations|Biserials]]| 
-|ValueMedian|Median (middle) ValueTotal for all Candidates ​on the Exam+|BiserialCompetency|Future| 
-|ValueMode|Mode (most frequent) ValueTotal for all Candidates ​on the Exam+|PointBiserialCompetency|See [[stats_concepts#​biserial_calculations|Biserials]]| 
-|PercentDistribution|Text field which holds a summary of the score distributions. ​ Not a statistic, but used in reporting| +|BiserialCorrectedCompetency|See [[stats_concepts#​biserial_calculations|Biserials]]| 
-|QtyPassExam|Count of Candidates ​that passed Exam.  See Candidate Statistics (PassExam) FIXME link| +|PointBiserialCorrectedCompetency|See [[stats_concepts#​biserial_calculations|Biserials]]| 
-|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 \\ \\ {{:​stat_spearmanrank.png|}}| +|ValueLow|Lowest ​ValueTotal achieved by a Candidate ​for this Item
-|SpearmanBrown|{{:​stat_spearmanbrown.png|}}| +|ValueHigh|Highest ​ValueTotal achieved by a Candidate ​for this Item
-|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 \\ \\ {{:​stat_kr20.png|}}| +|ValueMean|Mean (average) ValueTotal achieved by a Candidate ​for this Item
-|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 \\ \\ {{:​stat_kr21.png|}}+|ValueStdev|Standard Deviation ​of ValueTotal for all Candidates ​for this Item
-|StandardError|s = StDev of QtyCorrect for Exam \\ n = Count of Candidates ​\\ {{:​stat_stderr.png|}}| +|ValueVariance|Variance ​of ValueTotal for all Candidates ​for this Item
-|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 \\ \\ {{:​stat_alphacoefficient.png|}}+|ValueMedian|Median (middle) ValueTotal for all Candidates ​for this Item
-|Skewness|n = Count of Candidates \\ xi = QtyCorrect ​for each Candidate on Exam \\ x ̅ = Mean of QtyCorrect on Exam \\ s = StDev of QtyCorrect on Exam \\ \\ {{:​stat_skewness_1.png|}} \\ \\ Calculate Population Skewness using Sample Skewness \\ \\ {{:​stat_skewness_2.png|}}| +|ValueMode|Mode (most frequent) ValueTotal for all Candidates ​for this Item
-|Kurtosis|n = 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 {{:​stat_kurtosis_1.png|}} \\ \\ Calculate Population Kurtosis using Sample Kurtosis \\ \\ {{:​stat_kurtosis_2.png|}}+|QtyCorrectTop50|Count of Candidates ​who responded correctly ​to Item whose Value total was in top 50% of all Candidates ​taking ​Exam| 
-|AlternateSystem|Stores Alternate Value used for Calculation (True, Custom, ZScore, TScore,​…) ​ see Alternate Scores FIXME link+|QtyCorrectBottom50|Count of Candidates ​who responded incorrectly to Item whose Value total was in top 50% of all Candidates taking ​Exam| 
-|AlternateBase|Alternate used in Alternate Calculations see Alternate Scores FIXME link| +|TimeTotal|Total Time for all Candidates on this Item Used in [[start#CE Online Testing|Online Testing]]
-|AlternateMean|Alternate Mean used in Alternate Calculations see Alternate Scores FIXME link| +|Dichotomous|True if Item has one correct response worth 1 point and all other responses are incorrect worth 0 points.
-|AlternateStDev|Alternate Standard Deviation used in Alternate Calculations see Alternate Scores FIXME link+|IncludeInStats|See [[Stats_Concepts#​Include ​in Stats|Include ​in Stats]]
-|QuestionLogitSum|Future use| +|PROXScore|Future use| 
-|QuestionLogitMean|Future use| +|PROXProportion|Future use| 
-|QuestionLogitVariance|Future use| +|PROXLogit|Future use| 
-|QuestionLogitSquaredSum|Future use| +|PROXCalibration|Future use| 
-|QuestionSpreadExpansion|Future use| +|PROXCalibrationFinal|Future use| 
-|CandidateLogitSum|Future use| +|PROXCalibrationError|Future use| 
-|CandidateLogitMean|Future use| + 
-|CandidateLogitVariance|Future use| + 
-|CandidateLogitSquaredSum|Future use| + 
-|CandidateSpreadExpansion|Future use|+