File:  [LON-CAPA] / loncom / html / adm / help / tex / Statistics_Sequence.tex
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Tue Sep 14 22:24:56 2004 UTC (19 years, 11 months ago) by albertel
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    1: \label{Statistics_Sequence}
    2: 
    3: The \textbf{Overall Problem Statistics} page displays the following 
    4: data about the \textbf{Sequences} selected for evaluation:
    5: 
    6: \begin{itemize}
    7: 
    8: \item \textbf{\#Items}
    9: 
   10: The number of assessment items (problem parts) in the sequence.
   11: 
   12: \item \textbf{Score} and \textbf{Count} Statistics
   13: 
   14: For both the score, the product of the problem weight and the percent awarded,
   15: and the count, the number of problem parts correct, the following data are 
   16: computed:
   17: 
   18: \begin{itemize}
   19:     \item \textbf{MEAN}
   20: 
   21:     \item \textbf{Standard Deviation}
   22: 
   23:     \item \textbf{Maximum}
   24: 
   25:     The highest achieved score or count in the data set.
   26: 
   27:     \item \textbf{Minimum}
   28: 
   29:     The lowest achieved score or count in the data set.
   30: 
   31:     \item \textbf{N}
   32: 
   33:     The number of students evaluated.
   34: 
   35: \end{itemize}
   36: 
   37: \item \textbf{KR-21}
   38: 
   39: This statistic measures the internal reliability of the data set.
   40: \textbf{This statistic is relevant for exams only.}  Let $K$ be the
   41: number of items in your test, $M$ the mean score on the test, $s$ the
   42: standard deviation of the scores on your test, then the KR-21
   43: statistic, $rk$, is given by the formula
   44: 
   45: $$ rk=\frac{K}{K-1}\cdot \frac{1-(M*(K-M))}{Ks^2} $$
   46: 
   47: \end{itemize}

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