Report of the Committee of the Statisticians, constituted by
Kerala Public Service Commission for Standardisation of mark.
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The Kerala Public Service Commission entrusted the
committeewith the task of standardisation of
marks obtained by
candidates in three
examinations on three different dates with
different question papers
based on the
same syllabus for the post of Reserve Conductor
in KSRTC. The committee
has the opinion
that the standardization
is required only
if there is
significant variation in
difficulty levels in
between the different question papers.
One cannot determine
which question is
more difficult simply
by reading the questions. It is
not fair to
decide a question
is more difficult
based on intuition
or subjectivity of a
person. The decision
can be taken
only based on
empirical evidence.
So, the committee
decided to compute
the index of
difficulty (difficulty level)
of each question in
each question paper.
The index of
difficulty (p) of
a question is defined as
the proportion of
correct answers of
that question (that
is the number of
correct answers of
the question divided
by the total number of candidates
who wrote the
examination with the
respective question paper)( Nitko
(1996), Crocker &
Algina, 1986). The
larger the proportion getting a question right, the easier the
question. The higher the difficulty index indicates the easier the question and the lower the
index of difficulty indicates the question is
difficult. The index
of difficulty will
be always in
between 0 and 1. The index of
difficulty‘0’ means the maximum
is the difficulty
and‘1’ means the difficulty
is minimum. There
are two practices
in the literature
for the computation of difficulty indices. 1) based on the upper
27% and the lower 27% groups and 2)
based on the
total candidates. Several
studies shown that,
there will be no significant
difference in difficulty
indices based on
two procedures when
the size of the
data is large.
Here also the
indices based on
two procedures computed and confirmed that
there is no
significant variation between
them. Here, we suggest the computation of difficulty indices based on total
candidates
The questions in each question papers are to be divided into five strata as follows:
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It s not gud way. I loss 5 marks. It means, my rank wil b go to downwards near 500. My hardwork, expectations everythng destroyd by this theory. Psc gt another chance to play with our future by this way. That s d fact
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