--- loncom/html/adm/help/tex/Statistics_Overall_Key.tex	2004/07/12 19:29:02	1.3
+++ loncom/html/adm/help/tex/Statistics_Overall_Key.tex	2014/05/27 18:06:24	1.11
@@ -1,63 +1,89 @@
-\label{Statistics_Key}
+\label{Statistics_Overall_Key}
 
 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 to solve the problem by a student.
+\item{\textbf{Skew Tries}} Skewness of the students' tries.
+\[ \frac{\sqrt{ \sum{(Xi - Mean)^3} / \#Stdnts}}{\sigma^3} \]
 
-\item \textbf{Mean Tries}
+\item{\textbf{\#YES}}: Number of students who solved the problem correctly.
 
-Average number of tries.
+\item{\textbf{\#yes}}: Number of students who solved the problem by override.
 
-\item \textbf{S.D. tries}
+\item{\textbf{\%Wrng}}: Percentage of students who tried to solve the problem but were unable to.
 
-Standard Deviation of the tries.
+\item{\textbf{DoDiff}}: Degree of Difficulty of the problem.  
 
-\item \textbf{Skew Tries}
+This statistics give 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.
 
-Skewness of the students tries.
-\[\frac{\sqrt{ \sum{(Xi - Mean)^3} / #Stdnts}}{\sigma^3}\]
+\[ 1 - \frac{\#YES+\#yes}{Tries} \]
 
-\item \textbf{#YES}
+\item{\textbf{DoDisc}}: Degree of Discrimination of the problem.
 
-Number of students who solved the problem correctly.
+The students are grouped based on their scores on the sequence which 
+contains the homework problem.  The percent score of the bottom 25\% of
+the students is subtracted from the percent score of the top 25\% of
+the students.  This yields a number from -1 to 1. 1.0 indicates
+all of the good students answered the problem correctly and none of the
+poor students answered it correctly.  Conversely, a score of -1.0 indicates
+all of the good students got the problem wrong and the bad students did
+well.
 
-\item \textbf{#yes}
+\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.
 
-Number of students who solved the problem by override.
+\end{description}
 
-\item \textbf{\%Wrng}
+\textbf{Sequence Statistics}: Compiled statistics on problems based on
+their containing sequence, are also shown.  The following data are shown:
 
-Percentage of students who tried to solve the problem but were unable to.
+\begin{description}
 
-\item \textbf{DoDiff}
+\item{\textbf{\#Items}}: The number of problem parts in the sequence.
 
-Degree of Difficulty of the problem.  
-\[ 1 - \frac{\#YES+\#yes}{Tries} \]
+\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{DoDisc}
+\item{\textbf{Score N}}  The number of the selected students who submitted answers to problem parts in the sequence.
 
-Degree of Discrimination of the problem.
+\item \textbf{Count Mean}, \textbf{Count STD}, \textbf{Count Max}, \textbf{Count Min}: 
+The mean, standard deviation, maximum, and minimum count of correct
+problem parts of the selected students on the given sequence.
 
-The students are grouped based on their scores on the sequence which 
-contains the homework problem.  The percent score of the bottom 25\% of
-the students is subtracted from the percent score the to top 25\% of
-the students.  This yields a number from -1 to 1. 1.0 indicates
-all of the good students answered the problem correctly and none of the
-poor students answered it correctly.  Conversely, a score of -1.0 indicates
-all of the good students got the problem wrong and the bad students did
-well.
+\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:
+
+\[KR-21 = \frac{K}{K-1} \cdot \left(1- \frac{M \cdot (K-M)}{K \cdot s^{2}} \right)\]
+
+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{itemize}
+\end{description}