Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
stats_exam [2017/02/10 11:29] steveclarke |
stats_exam [2017/06/07 09:53] (current) 72.38.112.148 |
||
|---|---|---|---|
| Line 14: | Line 14: | ||
| |QtySkipped|Total of all QtySkipped 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| | |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 \\ \\ x/(n*k*100) FIXME graphic| | + | |RawPercent|x = Count of Correct Items on Exam \\ n = Count of Candidates on Exam \\ k = Count of Items on Exam \\ \\ {{:stat_rawpercent.png|}}| |
| |ValueCorrect|Total of all ValueCorrect for all Items on the Exam| | |ValueCorrect|Total of all ValueCorrect for all Items on the Exam| | ||
| |ValueSkipped|Total of all ValueSkipped 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| | |ValueIncorrect|Total of all ValueIncorrect for all Items on the Exam| | ||
| |ValueTotal|(ValueCorrect + ValueSkipped + ValueIncorrect)| | |ValueTotal|(ValueCorrect + ValueSkipped + ValueIncorrect)| | ||
| - | |ValuePercent|ValueTotal/(ValueMax*100) FIXME graphic| | + | |ValuePercent|{{:stat_valuepercent.png|}}| |
| - | |Difficulty|x = Count of Correct Items on Exam \\ n = Count of Candidates on Exam \\ k = Count of Items on Exam \\ \\ x/(n*k) FIXME graphic| | + | |Difficulty|x = Count of Correct Items on Exam \\ n = Count of Candidates on Exam \\ k = Count of Items on Exam \\ \\ {{:stat_difficulty.png|}}| |
| |RawHigh|Highest QtyCorrect achieved by a Candidate on the Exam| | |RawHigh|Highest QtyCorrect achieved by a Candidate on the Exam| | ||
| |RawLow|Lowest QtyCorrect achieved by a Candidate on the Exam| | |RawLow|Lowest QtyCorrect achieved by a Candidate on the Exam| | ||
| Line 27: | Line 27: | ||
| |RawStdev|Standard Deviation 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| | |ValueHigh|Highest ValueTotal achieved by a Candidate on the Exam| | ||
| - | |ValueLow Lowest 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 | + | |ValueMean|Mean (average) ValueTotal achieved by a Candidate on the Exam| |
| - | |ValueVariance Variance of ValueTotal for all Candidates on the Exam | + | |ValueVariance|Variance of ValueTotal for all Candidates on the Exam| |
| - | ValueStdev Standard Deviation 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 | + | |ValueMedian|Median (middle) ValueTotal for all Candidates on the Exam| |
| - | ValueMode Mode (most frequent) 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 | + | |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) | + | |QtyPassExam|Count of Candidates that passed Exam. See [[stats_candidate|Registrant Statistics]]| |
| - | SpearmanBrown (2*SpearmanRank)/((1+SpreamanRank)) | + | |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|}}| |
| - | KuderRichardson20 k = Count of Items on Exam | + | |SpearmanBrown|{{:stat_spearmanbrown.png|}}| |
| - | Total Test Variance = Variance of Candidate Raw Scores | + | |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|}}| |
| - | Sum of p*q = sum of all items p (difficulty) * q (1-p) for all items in Exam | + | |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|}}| |
| - | + | |StandardError|s = StDev of QtyCorrect for Exam \\ n = Count of Candidates \\ {{:stat_stderr.png|}}| | |
| - | k/((k-1))*((Total Test Variance- ∑▒〖(p*q)〗))/(Total Test Variance) | + | |StandardErrorMeasurement|s = StDev of QtyCorrect for Exam \\ n = Count of Candidates \\ kr20 = Kuder Richardson 20 \\ {{:stat_stderrmeasurement.png|}}| |
| - | KuderRichardson21 qtyX = Count Items answered correctly on Exam | + | |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|}}| |
| - | x ̅ = Mean of QtyCorrect for each Candidate on Exam | + | |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|}}| |
| - | s = StDev of Raw Scores of all Candidates on Exam | + | |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|}}| |
| - | + | |AlternateSystem|Stores Alternate Value used for Calculation (True, Custom, ZScore, TScore,…) see [[stats_concepts#Alternate Scores|Alternate Scores]]| | |
| - | qtyX/((qtyX-1))* ((1-x ̅*(qtyX-x ̅)))/((qtyX*s)) | + | |AlternateBase|Alternate used in Alternate Calculations see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| - | StandardError s = StDev of QtyCorrect for Exam | + | |AlternateMean|Alternate Mean used in Alternate Calculations see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| - | n = Count of Candidates | + | |AlternateStDev|Alternate Standard Deviation used in Alternate Calculations see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| - | s/√n | + | |QuestionLogitSum|Future use| |
| - | AlphaCoefficient k = Count of Items on Exam | + | |QuestionLogitMean|Future use| |
| - | Total Test Variance = Variance of Candidate Raw Scores | + | |QuestionLogitVariance|Future use| |
| - | Sum of Item Variance = Sum of all item variances on Exam | + | |QuestionLogitSquaredSum|Future use| |
| - | + | |QuestionSpreadExpansion|Future use| | |
| - | k/((k-1))*((Total Test Variance- ∑▒〖Item Variance〗))/(Total Test Variance) | + | |CandidateLogitSum|Future use| |
| - | SpearmanRank n = Number of Candidates | + | |CandidateLogitMean|Future use| |
| - | RankOdd = Candidates Ranking on Odd Items only compared to all other Candidates on Exam | + | |CandidateLogitVariance|Future use| |
| - | RankEven = Candidates Ranking on Odd Items only compared to all other Candidates on Exam | + | |CandidateLogitSquaredSum|Future use| |
| - | + | |CandidateSpreadExpansion|Future use| | |
| - | 1- (6*∑▒(RankOdd-RankEven)^2 )/(n*(n^2-1)) | + | |
| - | 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/((n-1)(n-2)) ∑▒((x_i- x ̅)/s) ^3 | + | |
| - | + | ||
| - | Calculate Population Skewness using Sample Skewness | + | |
| - | + | ||
| - | (SkewS*(n-2))/√(n* (n-1)) | + | |
| - | + | ||
| - | 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 KurtS | + | |
| - | (n(n+1) ∑▒(x_i- x ̅ ) ^4)/((n-1)(n-2)(n-3) s^4 ) - (3〖(n-1)〗^2)/(n-2)(n-3) | + | |
| - | + | ||
| - | Calculate Population Kurtosis using Sample Kurtosis | + | |
| - | + | ||
| - | ((KurtS*(n-2)*(n-3))/((n-1))-6)/((n+1)) | + | |
| - | + | ||
| - | AlternateSystem Stores Alternate Value used for Calculation (True, Custom, ZScore, TScore,…) see Alternate Scores | + | |
| - | + | ||
| - | AlternateBase Alternate Base 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 | + | |
