Application of ordinal logistic regression in the study of students' achievement in external testing

AuthorSadri Alija
PositionFaculty of Business and Economics, SEEU, Tetovo, Macedonia-FYROM
Pages17-22
Bulletin of the Transilvania University of Braşov
Series VII: Social Sciences • Law • Vol. 8 (57) No. 1 - 2015
APPLICATION OF ORDINAL LOGISTIC
REGRESSION IN THE STUDY OF
STUDENTS’ ACHIEVEMENT IN
EXTERNAL TESTING
Sadri ALIJA1
Abstract: The logistic regression describes the relationship between a
binary (dichotomous) response variable and explanatory variables. In this
study, we have implemented logistic regression to evaluating the probability
of passing the external Testing to students in Economics' Secondary School
''8 Shtatori'' in Tetovo, Macedonia. Drawing on SEC (State Examination
Center) for external testing database, Gender, Ethnicity, School year and
Subjects of the Course are selected as predictive variables. The results verify
that students Macedonian has 7.3 times more chance to gain a passing grade
in External Testing compared to a student Albanian, students of second-year
has 12.2% less chance to gain a passing grade in External Testing compared
to a students of first-year, also students of third-year have 12.2% less chance
to gain a passing grade in External Testing compared to a students of
second-year.
Key words: Binary logistic regression, Odds Ratio, External Testing,
Students’ Achievement.
1 Faculty of Business and Economics, SEEU, Tetovo, Macedonia-FYROM.
1. Introduction
Logistic regression analysis is a popular
and widely used analysis that is similar to
linear regression analysis except that the
outcome is dichotomous (e.g.,
success/failure or yes/no or died/lived).
Logistic regression and linear discriminant
analyses are multivariate statistical
methods which can be used for the
evaluation of the associations between
various covariates and a categorical
outcome.
The achievement measure corresponding
to different independent variables may be
analyzed using logistic regression analysis.
Logistic regression has been successfully
employed in the social sciences [1], [5],
[10], [15], in medical and health sciences
[2], and in education-al research-especially
in higher education [3], [4], [13].
The Mini-Mental State Examination
(MMSE) was introduced as a brief
assessment of cognitive functioning [6].
The 3MS extends the MMSE. It adds four
additional sub-tests (date and place of
birth, word fluency, similarities, and
delayed recall of words).
Several research groups have used a
regression-discontinuity design to examine
the educational consequences of failing an
exit examination. These analyses examine

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