--- loncom/html/adm/help/tex/Statistics_Overall_Key.tex 2005/01/10 18:01:30 1.5 +++ loncom/html/adm/help/tex/Statistics_Overall_Key.tex 2005/03/28 21:32:11 1.6 @@ -3,53 +3,41 @@ The \textbf{Overall Problem Statistics} page displays the following data about the problems currently in the course: -\begin{itemize} +\begin{description} -\item \textbf{\#Stdnts} +\item{\textbf{\#Stdnts}} Total number of students attempting the problem. -Total number of students attempting the problem. +\item{\textbf{Tries}} Total number of attempts to solve the problem. -\item \textbf{Tries} +\item{\textbf{Max Tries}} Largest number of attempts to solve the problem by a student. -Total number of attempts to solve the problem. +\item{\textbf{Mean Tries}} Average number of attempts. -\item \textbf{Max Tries} +\item{\textbf{S.D. tries}} Standard Deviation of the tries. -Largest number of attempts to solve the problem by a student. - -\item \textbf{Mean Tries} - -Average number of attempts. - -\item \textbf{S.D. tries} - -Standard Deviation of the tries. - -\item \textbf{Skew Tries} - -Skewness of the students tries. +\item{\textbf{Skew Tries}} Skewness of the students tries. \[\frac{\sqrt{ \sum{(Xi - Mean)^3} / \#Stdnts}}{\sigma^3}\] -\item \textbf{\#YES} +\item{\textbf{\#YES}} Number of students who solved the problem correctly. -Number of students who solved the problem correctly. +\item{\textbf{\#yes}} Number of students who solved the problem by override. -\item \textbf{\#yes} +\item{\textbf{\%Wrng}} Percentage of students who tried to solve the problem but were unable to. -Number of students who solved the problem by override. +\item{\textbf{DoDiff}} Degree of Difficulty of the problem. -\item \textbf{\%Wrng} +This statistics gives a measure of how many attempts it took the +students to get the problem correct. Those students who did not get +the problem correct are not counted. A value close to 0 indicates +most students who got the problem correct did so on the first attempt. +A value close to 1 indicates many attempts were required for students +to get the problem correct. A negative value indicates students were +given points without attempting the problem. A value of 'nan' means +there were no attempts made on the problem. -Percentage of students who tried to solve the problem but were unable to. - -\item \textbf{DoDiff} - -Degree of Difficulty of the problem. \[ 1 - \frac{\#YES+\#yes}{Tries} \] -\item \textbf{DoDisc} - -Degree of Discrimination of the problem. +\item{\textbf{DoDisc}} Degree of Discrimination of the problem. The students are grouped based on their scores on the sequence which contains the homework problem. The percent score of the bottom 25\% of @@ -60,4 +48,42 @@ poor students answered it correctly. Co all of the good students got the problem wrong and the bad students did well. -\end{itemize} +\item{\textbf{weight}} The weight of the problem in the course (``points''). +The value shown is the weight of the problem for the individual computing the +statistics. Individual student or section variations are not shown. + +\end{description} + +\textbf{Sequence Statistics}, that is compiled statistics on problems based on +their containing sequence, are also shown. The following data are shown: + +\begin{description} + +\item{\textbf{#Items}} The number of problem parts in the sequence. + +\item{\textbf{Score Mean}, \textbf{Score STD}, \textbf{Score Max} \textbf{Score Min}} +The mean, standard deviation, maximum, and minimum of the scores of +the selected students on the given sequence. + +\item{\textbf{Score N}} The number of the selected students who submitted answers to problem parts in the sequence. + +\item \textbf{Count Mean}, \textbf{Count STD}, \textbf{Count Max}, \textbf{Count Min} +The mean, standard deviation, maximum, and minum count of correct +problem parts of the selected students on the given sequence. + +\item \textbf{Count N} The number of the selected students who submitted answers to problem parts in the sequence. + +\item \textbf{KR-21} The KR-21 reliability statistic measures the internal reliability of a test or exam. + +To compute the KR-21 reliability statistic the following formula is used: + +\[KR-21 = \frac{K}{K-1} \cdot \frac{1-(M \cdot (K-M))}{K \cdot s^{2}}\] + +Where +\begin{description} +\item{$K$} is the number of items in your test +\item{$M$} the mean score on the test +\item{$s$} the standard deviation of the scores on your test +\end{description} + +\end{description}