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Chang Da Wan anD BeneDiCt Weerasena
            Table 1. Descriptive Statistics and Definition of Variables


                 Variable               Definition            Mean   Std Dev   Min    Max
             Urban School   Dummy Variable for Urban School   0.70     0.50     0      1
             Hours spent in   Continuous variable for hours spent at   4.53  5.90  0  30
             internal tuition   internal tuition
             Father’s       Categorical variable for Father’s level of   3.39  1.07  1  6
             educational level   education
             Academic       Categorical variable for no. of A’s in Lower   3.44  2.75  0  9
             Excellence     Secondary Assessment
             Chinese        Dummy Variable for ethnic Chinese   0.35   0.43     0      1
                            students

             Indian & Others  Dummy Variable for students of Indian   0.08  0.23  0    1
                            and other ethnicities (excluding Malay,
                            Chinese and East Malaysian Bumiputera)

             East Malaysian   Dummy Variable for students of   0.11    0.41     0      1
             Bumiputera     ethnicities from East Malaysia
             Spending on    Continuous variable for spending on   181.43  163.17  5   1100
             external tuition  external tuition
             Hours spent in   Continuous variable for hours spent at   6.00  4.00  1  30
             external tuition   external tuition



                Table 1 presents the descriptive statistics and definition of variables. Out of 343 respondents,
            70 % were in urban schools and the remaining in rural schools. The respondents also comprised of
            46 % Malay, 35 % Chinese, 8% Indian and Other, and 11% Bumiputera from East Malaysia. In terms
            of the respondents’ father’s level of education, 3%were primary school leavers, 13 % were lower
            secondary school, 47 % completed upper secondary school, 21 % with a diploma, 11 % with a bachelor
            degree, and 5% with a postgraduate degree. In terms of the previous academic achievement, 13%
            did not score any A in their Lower Secondary Assessment and 1.5 % scored nine As.
                The main variable examined in this paper is the amount of spending on supplementary tutoring
            outside of school. The average spending for supplementary tutoring is RM 181.43 per month with
            a standard deviation of RM163.17. The minimum value is RM5.00 per month and the maximum
            value is RM1100.00. Consistent with most expenditure data, the spending amount is not normally
            distributed. This was confirmed using the Kolmogorov-Smirnov Normality Test, which indicates that
            the spending variable was not normally distributed. Hence, as a way to normalise the data, the
            spending variable was transposed with logarithm into ‘log spending’.
                In addition, the amount of hours spent attending external tuition is also used as a dependent
            variable to examine the extent of participation. The average number of hours a week spent is 6 hours
            with a standard deviation of 4. The minimum value is one hour and the maximum value is 30 hours.
            Similar to spending, the number of hours spent on tuition is not normally distributed and therefore
            normalised by transposing the time variable with logarithm into ‘log hours outside’.
                The selection of the independent variables was guided by the review of literature on
            determinants of shadow education as well as availability in this dataset. Primary analysis using a
            stepwise additive regression was used to determine the variables for the full specification multiple
            regression model. The independent variables identified were: (i) urban-rural school to represent
            the geographical differences; (ii) ethnicity, given that Malaysia is a multi-ethic country and ethnic
            differences have been a major determinants on income and spending; (iii) hours spent on internal

            96                          Journal of International and Comparative Education, 2017, Volume 6, Issue 2
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