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stats_exam [2017/02/10 11:50] steveclarke |
stats_exam [2017/06/07 09:53] (current) 72.38.112.148 |
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| |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| | ||
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| |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) FIXME link| | + | |QtyPassExam|Count of Candidates that passed Exam. See [[stats_candidate|Registrant Statistics]]| |
| - | |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 \\ \\ 1 - (6*∑▒(RankOdd-RankEven)^2 )/(n*(n^2-1)) FIXME graphic| | + | |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|}}| |
| - | |SpearmanBrown|(2*SpearmanRank)/((1+SpreamanRank)) FIXME graphic| | + | |SpearmanBrown|{{:stat_spearmanbrown.png|}}| |
| - | |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/((k-1))*((Total Test Variance- ∑▒〖(p*q)〗))/(Total Test Variance) FIXME graphic| | + | |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|}}| |
| - | |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/((qtyX-1))* ((1-x ̅*(qtyX-x ̅)))/((qtyX*s)) FIXME graphic| | + | |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 \\ s/√n FIXME graphic| | + | |StandardError|s = StDev of QtyCorrect for Exam \\ n = Count of Candidates \\ {{:stat_stderr.png|}}| |
| - | 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/((k-1))*((Total Test Variance- ∑▒〖Item Variance〗))/(Total Test Variance) FIXME graphic| | + | |StandardErrorMeasurement|s = StDev of QtyCorrect for Exam \\ n = Count of Candidates \\ kr20 = Kuder Richardson 20 \\ {{:stat_stderrmeasurement.png|}}| |
| - | |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 FIXME graphic \\ \\ Calculate Population Skewness using Sample Skewness \\ \\ (SkewS*(n-2))/√(n* (n-1)) FIXME Graphic| | + | |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|}}| |
| - | |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 | + | |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|}}| |
| - | (n(n+1) ∑▒(x_i- x ̅ ) ^4)/((n-1)(n-2)(n-3) s^4 ) - (3〖(n-1)〗^2)/(n-2)(n-3) FIXME graphic \\ \\ Calculate Population Kurtosis using Sample Kurtosis \\ \\ ((KurtS*(n-2)*(n-3))/((n-1))-6)/((n+1)) FIXME graphic| | + | |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 Alternate Scores FIXME link| | + | |AlternateSystem|Stores Alternate Value used for Calculation (True, Custom, ZScore, TScore,…) see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| - | |AlternateBase|Alternate used in Alternate Calculations see Alternate Scores FIXME link| | + | |AlternateBase|Alternate used in Alternate Calculations see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| - | |AlternateMean|Alternate Mean used in Alternate Calculations see Alternate Scores FIXME link| | + | |AlternateMean|Alternate Mean used in Alternate Calculations see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| - | |AlternateStDev|Alternate Standard Deviation used in Alternate Calculations see Alternate Scores FIXME link| | + | |AlternateStDev|Alternate Standard Deviation used in Alternate Calculations see [[stats_concepts#Alternate Scores|Alternate Scores]]| |
| |QuestionLogitSum|Future use| | |QuestionLogitSum|Future use| | ||
| |QuestionLogitMean|Future use| | |QuestionLogitMean|Future use| | ||
