version 1.5, 2005/01/10 18:01:30
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version 1.6, 2005/03/28 21:32:11
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The \textbf{Overall Problem Statistics} page displays the following |
The \textbf{Overall Problem Statistics} page displays the following |
data about the problems currently in the course: |
data about the problems currently in the course: |
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\begin{itemize} |
\begin{description} |
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\item \textbf{\#Stdnts} |
\item{\textbf{\#Stdnts}} Total number of students attempting the problem. |
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Total number of students attempting the problem. |
\item{\textbf{Tries}} Total number of attempts to solve the problem. |
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\item \textbf{Tries} |
\item{\textbf{Max Tries}} Largest number of attempts to solve the problem by a student. |
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Total number of attempts to solve the problem. |
\item{\textbf{Mean Tries}} Average number of attempts. |
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\item \textbf{Max Tries} |
\item{\textbf{S.D. tries}} Standard Deviation of the tries. |
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Largest number of attempts to solve the problem by a student. |
\item{\textbf{Skew Tries}} Skewness of the students tries. |
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\item \textbf{Mean Tries} |
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Average number of attempts. |
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\item \textbf{S.D. tries} |
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Standard Deviation of the tries. |
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\item \textbf{Skew Tries} |
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Skewness of the students tries. |
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\[\frac{\sqrt{ \sum{(Xi - Mean)^3} / \#Stdnts}}{\sigma^3}\] |
\[\frac{\sqrt{ \sum{(Xi - Mean)^3} / \#Stdnts}}{\sigma^3}\] |
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\item \textbf{\#YES} |
\item{\textbf{\#YES}} Number of students who solved the problem correctly. |
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Number of students who solved the problem correctly. |
\item{\textbf{\#yes}} Number of students who solved the problem by override. |
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\item \textbf{\#yes} |
\item{\textbf{\%Wrng}} Percentage of students who tried to solve the problem but were unable to. |
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Number of students who solved the problem by override. |
\item{\textbf{DoDiff}} Degree of Difficulty of the problem. |
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\item \textbf{\%Wrng} |
This statistics gives a measure of how many attempts it took the |
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students to get the problem correct. Those students who did not get |
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the problem correct are not counted. A value close to 0 indicates |
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most students who got the problem correct did so on the first attempt. |
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A value close to 1 indicates many attempts were required for students |
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to get the problem correct. A negative value indicates students were |
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given points without attempting the problem. A value of 'nan' means |
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there were no attempts made on the problem. |
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Percentage of students who tried to solve the problem but were unable to. |
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\item \textbf{DoDiff} |
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Degree of Difficulty of the problem. |
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\[ 1 - \frac{\#YES+\#yes}{Tries} \] |
\[ 1 - \frac{\#YES+\#yes}{Tries} \] |
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\item \textbf{DoDisc} |
\item{\textbf{DoDisc}} Degree of Discrimination of the problem. |
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Degree of Discrimination of the problem. |
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The students are grouped based on their scores on the sequence which |
The students are grouped based on their scores on the sequence which |
contains the homework problem. The percent score of the bottom 25\% of |
contains the homework problem. The percent score of the bottom 25\% of |
Line 60 poor students answered it correctly. Co
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Line 48 poor students answered it correctly. Co
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all of the good students got the problem wrong and the bad students did |
all of the good students got the problem wrong and the bad students did |
well. |
well. |
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\end{itemize} |
\item{\textbf{weight}} The weight of the problem in the course (``points''). |
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The value shown is the weight of the problem for the individual computing the |
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statistics. Individual student or section variations are not shown. |
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\end{description} |
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\textbf{Sequence Statistics}, that is compiled statistics on problems based on |
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their containing sequence, are also shown. The following data are shown: |
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\begin{description} |
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\item{\textbf{#Items}} The number of problem parts in the sequence. |
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\item{\textbf{Score Mean}, \textbf{Score STD}, \textbf{Score Max} \textbf{Score Min}} |
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The mean, standard deviation, maximum, and minimum of the scores of |
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the selected students on the given sequence. |
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\item{\textbf{Score N}} The number of the selected students who submitted answers to problem parts in the sequence. |
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\item \textbf{Count Mean}, \textbf{Count STD}, \textbf{Count Max}, \textbf{Count Min} |
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The mean, standard deviation, maximum, and minum count of correct |
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problem parts of the selected students on the given sequence. |
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\item \textbf{Count N} The number of the selected students who submitted answers to problem parts in the sequence. |
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\item \textbf{KR-21} The KR-21 reliability statistic measures the internal reliability of a test or exam. |
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To compute the KR-21 reliability statistic the following formula is used: |
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\[KR-21 = \frac{K}{K-1} \cdot \frac{1-(M \cdot (K-M))}{K \cdot s^{2}}\] |
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Where |
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\begin{description} |
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\item{$K$} is the number of items in your test |
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\item{$M$} the mean score on the test |
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\item{$s$} the standard deviation of the scores on your test |
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\end{description} |
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\end{description} |