Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411         

1 

 

 Journal of Applied Economics 
and Business Studies (JAEBS) 

Journal homepage: https://jaebs.com 
ISSN (Print): 2523-2614 

   ISSN (Online) 2663-693X 

 

 

Educational Inequality and Inclusiveness:  

The Case of Khyber Pakhtunkhwa, Pakistan 
 

Tahira Tauheed 1 & Muhammad Nasir 2*1 
1 Assistant Professor of Economics, Incharge Department of Economics, Lahore College for Women University, Lahore 
2 Senior Research Economist, Pakistan Institute of Development Economics (PIDE), Quaid-i-Azam University Campus, Islamabad  
 

ABSTRACT 

It is argued that masses in Pakistan are excluded from the mainstream progress of 

education resulting in social unrest and adverse state of human development. This 

paper examines prevailing inequality in and exclusion from education in the Khyber 

Pakhtunkhwa province of Pakistan, and provides an empirical base for designing 

an appropriate policy framework to mitigate the underline issues. Towards this end 

the household-based education and Inequality-adjusted education indices are 

derived using Foster-López-Calva-Székely (FLS) methodology at the provincial, 

and district levels from the most recent Pakistan Social and Living Standard 

Measurement (PSLM) survey 2014-15. The provincial analysis is elaborated at the 

urban and rural regions as well. The distribution of these indices across households 

are utilized to measure inequality and inclusiveness coefficients by 

employing “Atkinson’s inequality measure” and “sixty percent of median as 

threshold of exclusion,” respectively. At the district level the impact of economic, 

social, demographic, and locational factors on inclusiveness of education are also 

investigated using linear regression. The results demonstrate that KPK households 

reside on average in low category of actual education level experiencing high inter-

regional and intra-regional disparities and exclusions. At the district levels, the 

inequalities in educational achievement and exclusions are even more pronounced, 

indicating that aggregated analyses suppress the intra-regional disparities and 

segregations. Based on these findings, it is asserted that investment in social 

infrastructure specifically educational, health, and law and order facilities, 

development of agriculture sector, and eradication of gender discrimination, are 

important factors to promote inclusive education in the province. 

 Keywords  
Inclusive 

education, 

Household-based 

Education index, 

Inequality 

coefficient, 

Inclusion 

coefficient, 

Socioeconomic 

determinants 

 

JEL 

Classification 
C00, C21, I24, 

I29 

 

1. Introduction 

Inclusive education is listed among the top four sustainable development goals (SDGs) 

in a recent UNSECO report on sustainable development. It is also considered highly 

influential towards attaining other SDGs that are aimed at eradicating poverty by 2030 

 
1*Corresponding author: nasir84@pide.org.pk 

mailto:nasir84@pide.org.pk


Tahira Tauheed & Muhammad Nasir 

2 

(UNESCO, 2017).  Inclusive education could be derived from the definition of inclusive 

development by Rauniyar & Kanbur (2010). It is a broad concept that includes enhancement 

of education level coupled with its equitable distribution in all segments of society, 

especially the deprived ones. To ensure inclusive education is a world-wide challenge. A 

substantial proportion of the world population is excluded from the arena of educational 

achievements (UNESCO, 2017). Masses in Pakistan are also suffering from educational 

exclusion resulting in social unrest and non-coherence (Burki, et al., 2015; UNDP Pakistan, 

2016; UNDP, 2016). Due to its complex socio-political structure Khyber Pakhtunkhwa 

(KPK), the northernmost province of Pakistan, faces this challenge more hardly than most 

of its provincial counterparts (Gouleta, 2015).  

To raise the level of inclusive education, a comprehensive and regionally integrated plan 

is required. The foremost steps in this regard are to evaluate the present status of education 

at all possible administrative levels and to identify the factors influencing inclusive 

education. The existing literature is unable to serve this purpose adequately. Based on 

aggregated data, a few studies including Jamal (2016) and Pakistan National Human 

Development Index Report (NHDIR) (2017) elaborate on the potential level of education 

(represented by education indices) at the national, provincial, and district levels1. However, 

these studies are unable to provide information about the distributional aspects of 

educational development including disparities and inclusion, especially at the intra-district 

level. There is hardly any study that empirically analyze the inclusiveness of education in 

KPK.  Some studies analyze the education system of KPK. Zia uddin and Tahir (2014) has 

investigated the primary data on the public-school monitoring in KPK. Ahmed & Rashid 

(2018) in a research study has analyzed the performance of public schools in districts Swat 

and Lower Dir of KPK. Gouleta (2015) analyzed KPK’s educational assessment policies 

and practices. A comprehensive measurement of inclusive education and analysis of its 

determinants remains limited for KPK. Health and education are central in building people’s 

physical and mental capacities, and hence any serious inequality of opportunity in these 

areas will aggravate inequality in their future (Kato, 2014). Keeping in view the significance 

of the subject matter and the research gap, this study undertakes the task of executing a 

household-based analysis of educational achievements of KPK at the provincial and district 

levels. The data used in this study is taken from the latest Pakistan Social and Living 

Standard Measurement (PSLM) survey 2014-15. The analyses are further extended to urban 

and rural regions at the provincial levels. This study also examines factors (including 

economic, social, demographic, and locational factors) influencing inclusiveness of 

education at the district level. The three underlying aspects of inclusive education: education 

enhancement, inequality reduction and inclusion of the marginalized are covered in this 

study by measuring and analyzing household-based education index (IIE), inequality-

 
1 These studies are mentioned specifically as these are utilizing same measure of human development (HDI) and same data source (PSLM 
2014-15) as the present study. 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

3 

 

adjusted education index (IIE), loss due to inequality, and coefficient of inclusiveness. The 

Classical Linear regression model (CLRM) is employed for analyzing the determinants of 

all aspects of inclusive education. 

KPK is the northernmost province of Pakistan with a privileged geostrategic position 

and abundant natural and human resources. Majority of the population in KPK resides in 

rural area and its main economic sources are forestry and agriculture. However, the current 

level of human development reveals that it could not exploit its advantageous position and 

abundant resources successfully to construct a shared and resilient society. A number of 

challenges  including influx of Afghan refugees, high incidence of terrorist activities, and a 

very complex and diversified socio-political structure could be accounted for its low 

performance (Gouleta, 2015). The picture of education in KPK presents a gloomy outlook. 

According to Pakistan Education Statistics (2017) KPK currently has about 2.38 million 

children of the ages of 5 to 16 that are out of schools. Economic Survey of 2016-17 reports 

that the adult literacy rate in KPK is 53 per cent since 2012, depicting that 47 per cent of 

adults in the province are illiterate. According to  World Development Bank, in 2015 KPK  

is well ahead of Islamabad Capital Territory, all four provinces, and other regions in the 

country in term of Gross Intake rate (GIR) (Hunter, 2020). It shows that effort has been 

started, however, a lot has to be done. As Pakistan NHDR (2017) reports for the same year, 

the achievement level of KPK in terms of its provincial and district level educational indices 

depicts that it is just ahead of FATA and Balochistan and falls substantially below the 

national level, Azad Jammu & Kashmir, Islamabad, and Punjab. The national level and 

KPK’s education indices are 0.538 and 0.49  and these lie in medium and low medium 

categories, respectively . KPK’s overall development level including the standard of living, 

health, and education reveals that it falls in medium category and is slightly ahead of 

National level achievements.  A comparison of development in three dimensions of human 

development exhibits that education is the least achieved dimension in KPK. The 

consequences of low education manifest themselves in lower achievements in other social 

and economic dimensions. Education can drastically change the growth and development 

cycle of a region, as established by the East Asian countries during the 1990s (Najam & 

Bari, 2017).  

According to 18th Amendment to the constitution of Pakistan the education has become 

a provincial subject. Therefore, the provinces should form statutes and articulate educational 

policies that guarantee the best education system. Despite the fact that government of KPK 

spends substantially higher on education than any other province in the country and it has 

passed “Khyber Pakhtunkhwa Right of Children to Free and Compulsory Education Act 

2017”, province is unable  to meet the millennium development goals (MDGs) in education 

due to high prevalence of extreme poverty (Gouleta, 2015). To emerge as a stable society 



Tahira Tauheed & Muhammad Nasir 

4 

in the twenty-first century and to get advantage of its increasing population, KPK must 

provide a skilled and educated workforce. To achieve this end, serious efforts are required, 

and a careful examination of present status of inclusive education is necessary to understand 

the state of the world today. Furthermore, based on these analyses it is imperative to design 

a new development framework for the future. The foremost step in this regard is to formally 

and methodically assess the existing status of education and level of its inequality & 

inclusion. The next step is to inspect the factors influencing inclusive education so that 

appropriate policies and action plans could be designed.  

There are three main segments of this study. First is the empirical assessment of 

existing level of education and prevailing inter-regional and intra-regional educational 

inequalities. To achieve this end, household-based IE and IIE for the year 2014-15 are 

constructed at the provincial and district levels, using data from PSLM (2014-15) on the 

lines proposed by Alkire and Foster (2010). Regional indices (rural and urban) are also 

constructed at the provincial level. The Atkinson’s measure of inequality and loss in 

educational achievements due to this inequality are also estimated. The second segment 

supplements this analysis by examining the profile of inclusive education at provincial and 

district levels using a unified measure of inclusion, ‘Coefficient of Inclusive education’. It 

is based on distribution of households’ education indices computed in the first segment. 

Rural and urban coefficients of inclusiveness are also estimated at the provincial level. The 

third segment comprises of empirical analysis of the prerequisites of inclusive development. 

To determine the proximate factors that influence inclusive education, district-wise 

education indices, inequality coefficient and coefficients of inclusive development are 

regressed on various economic, social, demographic, and locational factors considered to be 

influential for inclusive development in literature.  

The major contributions of this study are: First, it is a leading study in estimating 

education index at the household level (the smallest possible unit for which required data is 

available in Pakistan).  This study is also credited for being pioneer in constructing 

household-based provincial and district level education and inequality adjusted education 

indices for KPK. All the previous works on this subject involve aggregated data at a certain 

level that suppress the inter-regional variations. Several factors that play a vital role in 

raising disparities at micro level have remained unaddressed. Second, for the first-time 

across households’ inequalities in education indices at the provincial (overall, rural, and 

urban) and district levels are estimated for KPK. Third, to our knowledge, it is a seminal 

work that calculates a unified measure of inclusive education. As a unified measure of 

inclusive education, coefficient of inclusiveness is an efficient tool for the analysis of its 

dynamics and determinants. Forth, this study investigates and identifies major economic, 

social, demographic, and locational determinants of inclusive education at the district level.  



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

5 

 

This study is also important in the wake of adoption of SDGs and Vision 2030 by 

Pakistani government, and devolution resulting from Pakistan's 18th Constitutional 

Amendment. The district level study of inclusive development and its determinants would 

assist local and provincial governments in identifying areas and sectors that require greater 

attention, enabling them to allocate resources accordingly. Last but not the least, this study 

is also expected to generate dialogue and further research to deepen the understanding of 

the dynamics and key drivers of inclusive education in KPK.  

The rest of the paper is organized as follows: Section 2 presents the data sources and 

research methods utilized in this work.  This section also describes the procedures to 

estimate education indices and their distributional inequality. Section 3 provides analyses 

of the estimated education indices and their inequality coefficients. Section 4 outlines the 

estimation of inclusiveness coefficients of education and presents its analysis . Section 5 

presents the analyses of determinants of inclusive education. Finally, Section 6 highlights 

the conclusions of the study and lays out recommendations for policy and future research. 

2. Data and Research Methodology 

The main data utilized in this study is taken from the latest Pakistan Social and Living 

Standard Measurement (PSLM) survey 2014-15. It is a district as well as provincial and 

national level representative survey which covers 78635 households. (Pakistan Bureau of 

Statistics, 2016). Most of the District-wise data for the determinants of inclusive education 

is collected from various publications of Pakistan Bureau of Statistics for the years 2014 

and 2015. The data about education and health institutions, total area, forest area, cultivated 

area, road length, registered factories, police stations, and reported crimes for year 2014-15 

is collected from KPK development statistics 2015 and 2017. Data about population and sex 

ratio is collected from Pakistan Census 2017 as these figures are close approximates for year 

2014-15. For detail description of data see Table A.1 and A.2 in appendix. 

The general methodology utilized here to construct the household-based education index 

is taken mainly from Lopez-Calva & Ortiz-Juarez (2011). Technical notes for human 

development reports (2014; 2015) are consulted for details of index construction, inequality 

measurement, and loss due to inequality. Traditional component of education index are adult 

literacy and enrollment indicators. However, the household-based calculation of enrollment 

imposes the problem of missing data in households without children, as enrollment depends 

on the presence of individuals of school going age. In this work education index is calculated 

by replacing enrollment with a continuous variable capturing the years of schooling for 

individuals of or above the age of 7 (the age required to complete the first year of primary 

education). Using this variable, missing values are avoided by imputing the household i’s 

average schooling to children below the age of 7, under the assumption that children could 



Tahira Tauheed & Muhammad Nasir 

6 

achieve at least such average over the course of their lives (Lopez-Calva & Ortiz-Juarez, 

2011). Household’s achievements are normalized to a score between 0 and 1 using extreme 

values across country, called the domestic goalposts. Hence education indices are 

contextualized regarding domestic goalposts to consider the national realities and priorities. 

Domestic goalposts provide a realistic assessment of the relative educational progress made 

by households and districts in KPK.   

Information about schooling years and adult literacy of a household’s members are 

collected from section ‘C’ of PSLM 2014-15. To construct schooling index of a household, 

firstly for each household member of age 7 years or above, an indicator of the years of 

schooling is computed and is compared it with a minimum value of zero and a maximum 

value that depends on age. For instance, a 7-year aged person must have 1 year of schooling 

as maximum; an 8-year aged person must have 2 years of schooling as maximum, and so 

on up to a maximum of 18 years of schooling which corresponds to individuals aged 24 or 

above.  If a person aged 7 has 2 or more years of schooling, the value would be fixed up to 

1; if a person aged 8 has 3 or more years of schooling, it would be fixed up to 2, and so on. 

The schooling index for individual j in household i (𝑆𝑐𝑖𝑗 ) is calculated by normalizing 

his/her schooling years as: 

𝑆𝑐𝑖𝑗 =
𝑆𝑐𝑗−𝑆𝑐𝑚𝑖𝑛

𝑆𝑐𝑚𝑎𝑥−𝑆𝑐𝑚𝑖𝑛
 -----------------------------------------(1) 

with 𝑆𝑐𝑗 being the observed years of schooling for individual j, and 𝑆𝑐𝑚𝑖𝑛 and  𝑆𝑐𝑚𝑎𝑥 

the reference values. The average of the individual indices is calculated and imputed to 

children aged below 7 years. The schooling index for household i (𝑆𝑐𝑖) is the average of 

schooling for all the individuals in that household.  

In the case of adult literacy, if an adult with or above the age of 15 declared to be able 

to read and write in any language with comprehension a short simple statement on his/her 

everyday life, he/she is considered as literate (Anon., 1997).  Hence, the adult literacy index 

is denoted as the proportion of population aged 15 years and older who can read and write 

with understanding in any language. Household literacy rate (𝑙𝑖) is then calculated as: 

𝐿𝑖 =
1

𝑇
∑ 𝑙𝑗
𝑚
𝑗=1   ------------------------------------------------(2) 

with T being the total number of adults in household i, m the total number of literate 

adults, and 𝑙𝑗 an indicator taking the value of 1 if the adult j is literate, and 0 otherwise.  This 

rate is equivalent to the literacy index.  

The education index for household i ( 𝐸𝑖 ) is computed as weighted average of 

household’s adult literacy index and schooling index. The weights proposed and used by 

UNDP in human development reports 1991-1994 are 2/3 for literacy and 1/3 for schooling. 

Using these weights education index is calculated as:  



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

7 

 

𝐸𝑖 =
2

3
 𝐿𝑖 + 

1

3
 𝑆𝑐𝑖--------------------------------------------(3) 

To conduct a household-based analysis of educational progress across KPK districts, the 

first task is to construct education index at household level. At next stage this measure is 

used to analyze the aggregate level education at provincial and district levels. A household’s 

education index is composed of its adult literacy index and schooling index. Information 

about adult literacy and schooling years of a household’s members are collected from 

section ‘C’ of PSLM 2014-15.  

For schooling index, at first step data about years of schooling for individuals of or above 

the age of 7 is collected from three questions. First of these questions is, “what the highest 

class /level of education is completed?”. The answer to this question comprises twenty 

different categories (classes/levels) with specific value labels. The years of schooling are 

assigned to each class/level according to educational system prevailing in the country. At 

second step the schooling index for everyone of or above the age of 7 is calculated by 

normalizing his/her schooling years  by using equation 1. The schooling indices of all the 

individuals in a household are averaged out to obtain a household’s schooling index (𝑆𝑐𝑖). 

To avoid the underestimation of index, all the zero values are replaced by 0.02 under the 

assumption that individuals have accumulated some learning and experience throughout 

their lives, regardless of if they have attended school or not. The value of 0.02 is selected 

arbitrarily keeping in view very low mean years of schooling index in Pakistan i.e. 0.3133 

according to Human Development report 2014. Moreover, this number involves no 

truncation of the distribution as the smallest non-zero observed household’s schooling index 

equals 0.0253.    

For adult literacy index, information is collected from the question, “Can this person 

read & write in any language with understanding?”. There is no missing response for this 

question in case of individuals of age 15 years or above. Household literacy index (Li) is 

derived by dividing number of adult literates in a household by its total number of adults 

and normalizing it by natural goal posts of 0 and 1. For the same reasons outlined in the case 

of schooling, a minimum level of 0.05 is attached instead of 0 in those households with all 

illiterate adults. This does not truncate the distribution as smallest observed non-zero adult 

literacy index is 0.0625.  

Education index of a household (Ei) is calculated as a weighted average of its schooling 

index and adult literacy index, assigning weights of 1/3 and 2 /3 respectively. Quintiles 

based on households’ education indices are computed considering the sampling weights. 

Households’ literacy indices, schooling indices, education indices and education quintiles 

would be provided on request. These education indices and quintiles are utilized for analysis 

of development in the dimension of education at the provincial and district levels.  



Tahira Tauheed & Muhammad Nasir 

8 

    In the present study to estimate the provincial or district level education index and 

inequality adjusted education index the general means are utilized for aggregation of 

household education indices based on (Foster, et al., 2005). The inequality in distribution of 

educational progress across households is captured by an inequality measure suggested by 

Alkire & Foster (2010). Foster, Lopez-Calva, and Szekely (2005) proposed the use of a 

general mean or equally distributed equivalent (ede) achievement level for aggregation of 

achievement (x) to account for inequality in progress/development. The generalized mean 

can be referred as μα (x), and for a population of size n it is commonly expressed as: 

--------------(4) 

where α may take any value in the interval (− ∞, + ∞) (Foster, et al., 2013). The general 

means for α < 1 are generally interpreted as measures of social welfare. The Foster-López-

Calva-Székely (FLS) class of indices satisfies all basic axioms of a welfare index including 

subgroup consistency and distribution sensitivity (Alkire & Foster, 2010; Seth, 2009). 

Atkinson used the parameter ε = 1 - α ≥ 0 (α≤ 1) to index the class of edes; he interpreted 

ε as an inequality aversion parameter in the aggregation method of achievements (which he 

considered to be welfare (Alkire & Foster, 2010). The case of ε = 0 yields the index that is 

based on the arithmetic mean, which is insensitive to inequality in achievements. The value 

of ε=1 yields index which is obtained by the geometric mean to evaluate achievements. For 

ε > 0, the inequality adjusted index discounts for inequality within-dimension according to 

the level of inequality aversion indicated by its associated parameter ε.  

In this study the arithmetic mean of households’ indices is employed to obtain a 

provincial or district education index (𝐼𝐸) without accounting for inequality. It is given as: 

𝐼𝐸 = (𝐸1 + 𝐸2 + ⋯ +𝐸𝑛)/𝑛   -------------------------------(5) 

where as 𝐸𝑖 is the ith household education index and n is the number of households. To 

obtain inequality adjusted education index ( 𝐼𝑖𝐸)  at the provincial or district level the 

households’ education indices are aggregated by using geometric mean as: 

𝐼𝑖𝐸 = √𝐸1 × 𝐸2 × ………….× 𝐸𝑛
𝑛

 -------------------------(6) 

       Atkinson (1970) family of inequality measures is used to capture inequality in 

underlying distributions of education across households. Atkinson measure of inequality 

with inequality aversion parameter ε=1 is employed in this research. It can be expressed as: 

      ----------------------------------------------(7) 

𝜇𝛼(𝑥) =   
 
𝑥1
𝛼 +  𝑥2

𝛼 + 𝑥3
𝛼 ……… . +𝑥𝑛

𝛼  

𝑛
 

1/𝛼

        𝑖𝑓 𝛼 ≠ 0 

(𝑥1 × 𝑥2 × …… . .× 𝑥𝑛)
1/𝑛    𝑖𝑓 𝛼 = 0  

 

𝐴𝐸 = 1 −
𝐼𝑖𝐸
𝐼𝐸

 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

9 

 

The inequality measure 𝐴𝐸  represents the share of per household educational 

achievement that is wasted because of inequalities in its distribution across households. It is 

regarded as the percentage loss in potential level of educational achievement or welfare 

arising due to inequitable distribution. 

To compute unified measure of inclusive development at the district and provincial 

levels method proposed by Suryanarayana (2008) is adopted in this study. The underlying 

idea is that the growth process under review will be inclusive if it is beneficial for deprived 

sections of the society. To identify the deprived, this approach compares the achievement 

of individual units of the society (individuals/ households/ regions) relative to the average  

achievement of the society. The population having achievement below sixty percent of 

median achievement of the society is considered as deprived. The same approach is adopted 

to measure inclusiveness of educational achievement in this study. Thus, the segment of 

population which is deprived of education is defined regarding a threshold of education 

index, specified as a function of median education index.  The population (households) 

having 𝐸𝑖 below sixty percent of median 𝐸𝑖 is considered as deprived. The 60% of median, 

and 50% of the mean are two commonly used thresholds for relative income deprivation; 

the former measure is probably the most extensively used  measure nowadays (Townsend 

& Kennedy, 2004). The advantage of this threshold is that it will not change by the rise of 

incomes in the deprived section unless they cross the median income. (Mack, 2016; 

Bradshaw & Mayhew, 2011).  

  In this study the application of this threshold is extended to measure the proportion of 

households deprived of education. The deprived of education proportion of population is 

given as: 

𝜃 = 𝐹(𝛿𝐸0.5) = ∫ 𝑓(𝐸)𝑑𝐸
𝛿𝐸0.5
0

---------------------------(8) 

where θ = incidence of the deprived (ID), 0<δ< 1. The 𝐸0.5 represents the households’ 

median education index such that: 

∫ 𝑓(𝐸)𝑑𝐸
𝐸0.5
0

=
1

2
= ∫ 𝑓(𝐸)𝑑𝐸

∞

𝐸0.5
-------------------------(9) 

The value of δ is kept 0.6. F is the cumulative distribution function and 𝑓(𝐸) is the density 

function of ‘𝐸𝑖’. Some important features and implications are as follows:  

The value of θ lies in the open interval (0, 0.5). 

(i) θ tends to 0 implies bottom half of the distribution concentrates in the “inclusion 
zone”, given by [δE0.50, E0.50] 



Tahira Tauheed & Muhammad Nasir 

10 

(ii)  θ approaches to 0.5 implies bottom half of the distribution concentrates in the 
“exclusion zone”, given by [0, δ ξ0.50]. 

Assuming society consisting of a homogeneous group with heterogeneity in educational 

achievement across households, a “Coefficient of Inclusion” is defined by suitable 

standardization regarding its limits. Inclusion Coefficient (IC) denoted by ‘Ψ’ is given as: 

Ψ = 1 − 2∫ 𝑓(𝐸)d𝐸
𝛿𝐸0.5
0

---------------------------(10) 

where 0 < Ψ < 1. It has the following relevant properties: 

(i) The value of Ψ tends to the value 0 (unity), when no (all) household (households) 
with relatively poor educational achievement is (are) participating and hence, 

benefiting from the mainstream educational progress, implying a state of perfect 

exclusion (inclusion) 

(ii)  A value of Ψ greater (less) than ½  , indicates a situation where the proportion of 
the bottom half of the population falling in the inclusion zone is greater (less) than 

the proportion in the relative deprivation-zone, implying a state of inclusion 

(exclusion). 

The economic and social welfare is not evenly distributed across regions in Pakistan 

(Jamal, 2016; UNDP Pakistan, 2016), exhibiting a scenario of non-homogeneous society. 

Consequently, inclusiveness of education in KPK is analyzed in two ways i.e. across the 

regions (inter-regions) and within the regions (intra-region). Inter-regional inclusion is 

examined with reference to disparities in median levels education across regions. It is 

measured by closeness of regional median ( 𝐸0.5
𝑅 ) to national median 𝐸0.5

𝑀  (of the 

national/mainstream population). For a given 𝛿  such that 0 < 𝛿 < 1, there can be two 

scenarios: 

(i) 𝐸0.5
𝑅  < δ𝐸0.5

𝑀   implies exclusion of the specific region. 

(ii)  𝐸0.5
𝑅  ≥δ𝐸0.5

𝑀  implies inclusion of the specific region. 

Intra-regional inclusion is examined in terms of inclusion coefficients (ICs) defined with 

respect to regional as well as mainstream (provincial) median. Intra-regional inclusion for 

any given region ‘i’ is measured with respect to either own median (𝐸0.5
𝑅 ) providing a 

measure of 𝛹𝑖
𝑅 (IC Regional) or mainstream median (𝐸0.5

𝑀 ) providing a measure of 𝛹𝑖
𝑀 (IC 

Mainstream).  These two measures are distinct and different for situations when there is 

inter-regional exclusion; and converge with progressive inter-regional inclusion. IC 

Regional (𝛹𝑖
𝑅)  measures the extent of inclusion of the bottom half population of the region 

under review in its own progress. Its limits and properties are the same as discussed for the 

inclusion coefficient of a homogeneous society. IC Mainstream (𝛹𝑖
𝑀) measures the extent 

of inclusion of the population (laying below national median) of concerned region in the 

progress of the country/ society. The limits for IC Mainstream (𝛹𝑖
𝑀) are as follows: 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

11 

 

 𝛹𝑖
𝑀= -1 implies exclusion of the entire region 

 𝛹𝑖
𝑀 = 1 implies inclusion of the entire region 

An important objective of this study is to analyze the determinants of inclusive 

education. The determinants of inclusive education are analyzed at district level by 

estimating regression models for three of its aspects i.e. level of educational achievement, 

its distributional inequality, and inclusion of marginalized in educational progress. To 

achieve this end KPK districts’ education index (IE), inequality coefficients (AE), IC-

Mainstream (𝛹𝑖
𝑀), and IC-Regional (𝛹𝑖

𝑅) are regressed on various potential factors for 

inclusive education. The selection of these probable determinants is based on evidence from 

existing literature and availability of data at district level for KPK. The choice of variable is 

constrained severely due to data availability at district level.  Inclusive development is 

influenced by several diversified factors, however, the factors considered in this study are 

grouped in to four major categories, economic factors (EF); social factors (SF); 

demographic factors (DF); and locational factors (LF). The generalized form of the model 

is given below: 

Inclusive education= f (EF, SF, DF, LF) ----------------------------(11) 

Economic factors comprise of industrial development (measured by no. of registered 

factories per hundred thousand of population), agricultural development (measured by 

percentage of cultivated area), percentage of forest area, and level of physical infrastructure 

(measured by road density, airport, and railway station) at district level. 

Social factors include public education and health facilities, and law & order condition 

at district level. Public education facilities are proxied by district-wise total number of 

government schools, high schools, middle schools, primary schools,  and colleges per 

hundred thousand population. District-wise number of government hospitals per hundred 

thousand population and number of beds in government health institutions per ten thousand 

population are utilized to proxy public health facilities. Law and order facility are assessed 

by number of police stations per hundred thousand population at district level.  

Demographic factors utilized in this study are the population density, ratio of male to 

female population (sex ratio), and urbanization (ratio of urban population to total 

population).  

Locational Factor include the dummy variable for divisional capital. 

The functional forms of the regression models are given as: 

IE = 𝛼1 + 𝛽1 EF + 𝛾1 SF + 𝛿1 DF+ ξ1 LF + ε1 -----------------------(12) 
AE = 𝛼2 + 𝛽2 EF + 𝛾2 SF + 𝛿2 DF+ ξ2 LF + ε2-----------------------(13) 
𝛹𝑖
𝑀= 𝛼3 + 𝛽3 EF + 𝛾3 SF + 𝛿3 DF+ ξ3 LF + ε3----------------------(14) 

𝛹𝑖
𝑅= 𝛼4 + 𝛽4 EF + 𝛾4 SF + 𝛿4 DF+ ξ4 LF + ε4----------------------(15) 

where ε1, ε2, ε2, and ε4 represents the random error terms in the models.  



Tahira Tauheed & Muhammad Nasir 

12 

In this study Classical linear regression model (CLRM) is employed to estimate the 

above stated equations individually. The SUR could be an appropriate technique for the 

estimation of this system of equation. However, selection of CLRM to estimate individual 

equation is based on the two reasons. First, Greene (2005) argues if the set of regressors is 

same across the two (or more) dependent variables, the outcomes from SUR will be identical 

to those from OLS (Greene, 2005).  Second, the sample size in this study is too small to 

restore reasonable degrees of freedom in estimating a system of equation with large number 

of coefficients. To produce robust estimates, possible violations of the assumptions of the 

CLRM relevant for cross-sectional data are explored. Shapiro-Wilk test is utilized to check 

the normality of residuals since it is recommended the best choice for testing the normality 

of data by some researchers (Thode, 2002). To deal with the possibility of 

heteroskedasticity, robust standard errors (heteroskedasticity-consistent) are utilized as it is 

a common and popular technique in this respect (Berry, 1993). Multicollinearity is tested 

by analyzing the Variance Inflation Factor (VIF) that is the most extensively used diagnostic 

for multicollinearity (Allison, 2012). The data issues pose a serious limitation on testing 

endogeneity of the model as the appropriate instruments could not be found for the district 

level data. Therefore, to establish the causality between inclusive education and its 

determinant is beyond the scope of this study. In this scenario the objective of this work is 

to identify the significant covariates of inclusive education. 

3. Analysis of Education Index and Its Inequalities 

For aggregated analysis of educational progress households’ education indices are 

classified in to five categories. These categories/classes of education index are very low, 

low, medium, high, and very high. The cut-off values for classes of education index are 

determined by five provincial quintiles of households’ education indices following the lines 

proposed by UNDP (2014). The various categories of household’s education index along 

with their cut off values are given in Table 1. A simple comparison of lowest and highest 

cut off values reveals substantial disparities in education indices of households. The gap 

between maximum and minimum cut off for education index it is 0.74. The wide differences 

in education indices across and within quintiles show the prevalence of high educational 

disparities across households. 

Table 1: Categories of Educational Achievements with Cutoff Values  

Categories of Education Index 
Cutoff values  

(Based on Quintiles of IE) 
     Very low             Less than 0.19 

      Low             0.19 to 0.50 

      Medium             0.51 to 0.69 

       High             0.70 to 0.93 

       Very High            greater than 0.93  

Source: Authors’ Calculations 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

13 

 

       The estimates of education index (IE), Inequality-Adjusted education index (IiE), and 

the estimated percentage losses due to inequalities in educational achievements across 

households (AE) in KPK and, its rural and urban regions are exhibited in figure 1. These 

estimates establish the incidence of low actual educational achievements in KPK   and of 

high disparities across regions. The overall KPK education index reveals that KPK falls in 

low category of potential educational achievements. There is a substantial urban-rural 

educational disparity in KPK. The urban households’ education index lies in medium 

category, while rural index falls in low category of educational achievements. The urban 

households’ education index is 1.4 times higher than that of rural households. 

 

Figure 1: Provincial Education indices and Inequality Measures (Source: Authors’    

Calculations) 

Inequality-Adjusted education index demonstrate that achievement level in education is 

affected considerably due to inequalities. The loss is substantial with a varied magnitude in 

different regions. At provincial level, this loss is estimated around 28 percent. The loss due 

to inequality is markedly high in rural KPK as compared to its urban counter parts.  

  

0.4681

0.6068

0.4366

0.3372

0.4903

0.3097
0.2796

0.1920

0.2906

0.00

0.20

0.40

0.60

0.80

Overall Urban Rural

KPK

Education Index Inequality Adjusted Education Index % Loss due to Inequality



Tahira Tauheed & Muhammad Nasir 

14 

Table 2: District-wise Education Indices and Inequality Measures 

District 

Education 

Index 

 (IE) 

Inequality 

Adjusted 

Education 

Index  

(IiE) 

% Loss due to 

Inequality 

(AE) 

Rank 

IE 

Rank 

IiE 

Change in 

rank  

due to 

 Inequality 

Haripur 0.6552 0.5660 0.1362 1 1 0 

Karak 0.5650 0.4758 0.1580 3 2 1 

Malakand 0.5425 0.4429 0.1836 6 3 3 

Abbottabad 0.5970 0.4381 0.2662 2 4 -2 

Chitral 0.5345 0.4292 0.1970 7 5 2 

Peshawar 0.5462 0.4258 0.2204 5 6 -1 

Lower Dir 0.5047 0.4203 0.1672 10 7 3 

Mansehra 0.5522 0.4113 0.2552 4 8 -4 

Lakki Marwat 0.5057 0.3982 0.2124 9 9 0 

Bannu 0.4959 0.3948 0.2038 11 10 1 

Nowshera 0.5064 0.3871 0.2356 8 11 -3 

Mardan 0.4541 0.3331 0.2664 13 12 1 

Kohat 0.4669 0.3295 0.2943 12 13 -1 

Charsadda 0.4353 0.3214 0.2617 14 14 0 

Swat 0.4319 0.3197 0.2598 15 15 0 

Swabi 0.4306 0.3009 0.3014 16 16 0 

Tank 0.3807 0.2725 0.2843 18 17 1 

D. I. Khan 0.4121 0.2719 0.3401 17 18 -1 

Hangu 0.3569 0.2557 0.2836 20 19 1 

Upper Dir 0.3584 0.2537 0.2921 19 20 -1 

Batagram 0.3341 0.2326 0.3039 21 21 0 

Buner 0.3044 0.2096 0.3115 22 22 0 

Shangla 0.2975 0.1924 0.3533 23 23 0 

Tor Ghar 0.2211 0.1395 0.3694 24 24 0 

Kohistan 0.2152 0.1270 0.4099 25 25 0 

Source: Authors’ Calculations 

The district-wise Education indices (IE), Inequality-Adjusted Education indices (IIE), 

and coefficients of inequality (AE) are reported in Table 2. There is no district in KPK with 

potential education index above the medium level of education index or in very low 

category. The data reveals that potential education index for most of the KPK districts fall 

in low category, ten districts are in medium category. Inequality adjustment pulls down all 

districts’ education indices to further in low category or in very low category. The estimated 

inequality coefficients validate the prevalence of wide disparities within districts. In ranking 

of both education indices with and without Inequality adjustment; Haripur is at the top. 

KPK’s capital Peshawar is ranked at 4th place in terms of IE and with inequality adjustment 

it ranks at 8th place. It is the largest loss of rank among all districts of KPK indicating the 

intensity of educational inequality in Peshawar. It lies in medium category of education and 

fall in low category with inequality adjustment. Kohistan is at lowest rank of education in 

terms of both education indices IE and IiE. It is preceded by Tor Ghar, Shangla, Buner and 

Batagram. All these bottom ranked districts are in low category of education and first three 

of them come down to very low category after accounting for inequality. 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

15 

 

Analysis of inequality coefficients reveals that loss due to inequality ranges from the 

loss of almost 14 percent in Haripur to the substantial loss of 41 percent in Kohistan. In top 

five districts maximum loss due to in equality is around 27 percent, in contrast the minimum 

loss in bottom ten districts is around 41 percent. In general, the magnitude of disparities 

within districts and across districts rises with deterioration of education level. However, 

considerable disparities are observed in some top ranked districts too. The KPK districts 

exhibiting very low level of human development are situated in its north and south. It is 

observed that mostly districts that have natural resource endowment are in low or very low 

category of human development. In contrast the majority districts with better status of 

human development and low disparities are either centers of administration, or are home to 

small industries, or are hub of commerce and trade. It indicates the skewed utilization of 

public and private funds, underutilization and wastage of natural resources, and the ignored 

agriculture sector. There are some obvious socio-political factors that could be responsible 

for adverse human development status in certain regions. In KPK the terrorist activities, 

Afghan refugees, and armed conflict specifically in southern districts are some of the 

probable reasons for poor human development situation (Akbar, 2015; Khattak, 2017; 

Yousaf, 2013). To address these issues further research at regional levels is required. 

The distribution of districts in categories of education, according to their education index 

(IE) and Inequality-Adjusted education index (IIE) is given in Table 3. 

Table 3: Distribution of Districts in Categories of Education Index 

 

Education Category 

Districts 

(According to IE) 

Districts      

 (According to IiE) 

Number Percentage Number Percentage 

 

 

 

KPK 

Very High 0 0 0 0 

High 0 0 0 0 

Medium 9 36 1 4 

Low 16 64 22 88 

Very Low 0 0 2 8 

Source: Authors’ Calculations 

The findings of this study are comparable with the facts presented by Pakistan NHDR 

(2017), see Table A.3 in appendix. According to this report most of the KPK districts’ 

education indices falls in low medium or low categories, the same result is established by 

the present study. Majority of the districts ranks according to the education index (IE) is 

almost similar in both studies. The interesting comparison is between the education index 

(IE)-wise rank of districts cited by the NHDR and the inequality adjusted Inequality-

Adjusted education index (IIE)-wise rank given by the present study. The inequality 

adjustment changes the education ranking of the districts remarkably. For example, 

Abbottabad that stands first in NHDR in terms of education index slides down to fourth 



Tahira Tauheed & Muhammad Nasir 

16 

place with inequality adjustment calculations in the present study.  These findings urge for 

policy measures focused not only to elevate the average educational achievements but also 

to alleviate the educational inequalities simultaneously.  

A mapping of KPK districts’ inequality adjusted education and human development 

indices and their ranks respectively calculated by present study and Pakistan NJDR (2017) 

is cited in appendix Table A.4. It reveals substantial differences in the level of education 

and overall human development level in majority of KPK districts. District Karak with HDI 

ranking of 13 and IIE ranking of 2 is showing the highest divergence. At the lowest end for 

the districts of Shangla, Tor Ghar, and Kohistan this deviation is minimal. The considerable 

inequalities in districts’ HDI and IIE suggest that the dimensions of HDI are not perfect 

substitutes of each other.  

4. Inclusiveness Analysis of Education  

The third important aspect of inclusive education in a society i.e. inclusion of marginalized, 

is examined by utilizing distribution of households’ education indices. To determine the 

inter-regional inclusion status the median education index for each region is compared to 

sixty percent of national median education index. The value of national median education 

index estimated in this study is 0.5714. The comparison demonstrates that overall, urban, 

and rural regions in KPK are inclusive in mainstream education, see Table 4. Inclusiveness 

describes that at least some proportion of households in bottom half (below median 

education index) of these regions have education index that fall in inclusion zone.  

Table 4: Provincial Level Estimates of Inter-Regional Inclusion/Exclusion in Terms 

of Education index 

          Education 
Median  

Education Index 

Inter-regional  

Inclusion/Exclusion* 

KPK 

Overall 0.4707       Inclusion__ 

Urban 0.6143 Inclusion 

Rural 0.4306 Inclusion 

Source: Authors’ Calculations 

*Criterion for inter-regional inclusion is regional median>= (0.6*national overall 

median).   

        Table 5 displays inter-district inclusion/exclusion in terms of education index in KPK. 

Out of 25 districts of KPK 18 are exhibiting inter-regional inclusion. Hence, 74 percent and 

28 percent of the total KPK districts demonstrates the inter-regional inclusion and exclusion, 

respectively. The districts with very low median education indices showing exclusion 

include Hangu, Upper Dir, Batagram, Buner, Shangla, Tor Ghar, and Kohistan. It implies 

that education index of all households in these districts fall in exclusion zone.  



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

17 

 

Table 5: District-wise Estimates of Inter-Regional Inclusion/Exclusion in Terms of 

Education index 

District 
Median 

Education Index 

Inter-regional 

Inclusion/Exclusion* 

Haripur                      0.6788 Inclusion 

Abbottabad        0.6667 Inclusion 

Mansehra 0.5714 Inclusion 

Karak 0.5714 Inclusion 

Chitral 0.5556 Inclusion 

Malakand 0.5417 Inclusion 

Lower Dir 0.5333 Inclusion 

Peshawar 0.5333 Inclusion 

Lakki Marwat 0.5238 Inclusion 

Nowshera 0.5000 Inclusion 

Bannu 0.5000 Inclusion 

Mardan          0.4675 Inclusion 

Kohat 0.4630 Inclusion 

Swabi         0.4444 Inclusion 

Charsadda         0.4287 Inclusion 

Swat 0.4222 Inclusion 

Tank 0.3968 Inclusion 

D. I. Khan 0.3662 Inclusion 

Hangu 0.3353 Exclusion 

Upper Dir  0.3333 Exclusion 

Batagram          0.2917 Exclusion 

Buner 0.2540 Exclusion 

Shangla 0.2500 Exclusion 

Tor Ghar         0.1444 Exclusion 

Kohistan 0.1167 Exclusion 

Source: Authors’ Calculations 

Intra-regional inclusiveness analysis at the provincial and district levels is presented in 

figures 2 and 3, respectively. The estimate of provincial IC establishes that 75 percent of the 

lower half of households (with education index below median) in KPK falls in exclusion 

zone of education, consequently the percentage of inclusion is markedly low. The 

substantial rural-urban disparities are evident in inclusiveness of education. In urban region 

mainstream inclusion is more than three times higher than its rural counterpart. In urban 

region and rural regions respectively, 59 percent and 18 percent of the bottom half of 

households lie in mainstream inclusion zone.  The regional inclusion of rural region is less 

than two-third of that of the urban region. The IC-regional for rural households and urban 

households is 56 percent and 34 percent, respectively.  



Tahira Tauheed & Muhammad Nasir 

18 

 
Figure 2: Provincial Level Estimates of Education’s Regional and Mainstream 

Inclusion Coefficients (Source: Authors’ Calculations) 

The intra district inclusion analysis reveals that in KPK only 2 out of 25 districts are in 

state of inclusion with respect to IC-mainstream and seven districts with negative IC-

mainstream exhibit nearly perfect exclusion. In KPK, Haripur district has the highest level 

of mainstream inclusion and regional inclusion of 73 percent and 66 percent respectively. 

The second highest level of mainstream and regional inclusion is exhibited by district Karak 

for which both measures have the same value of 0.58. Provincial capital Peshawar also 

exhibit mainstream exclusion with IC-mainstream at 0.43 and IC-regional at 0.50. The 

districts with the lowest level of inclusion with respect to mainstream education and regional 

education are Tor Ghar (-47 %) and Kohistan (-45 %), respectively. It shows that education 

indices of almost 97 percent and 95 percent of households of Tor Ghar and Kohistan falls 

in exclusion zone of education, respectively. 

0.56

0.37 0.34

0.59

0.25
0.18

0.00

0.50

1.00

KPK Urban KPK overall KPK Rural

 Inclusion Coefficient Regional  Inclusion CoefficientMainstream



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

19 

 

 
Figure 3: District-wise Regional and Mainstream Inclusion Coefficients of Education 

(Source: Authors’ Calculations) 

 

5. Analysis of Determinants of Inclusive Development 

Analyzing the determining factors of inclusive education is a prerequisite to identify 

critical areas for optimal utilization of available resources (Oluseye & Gabriel, 2017). One 

of the objectives of this study is to identify the factors that could ensure and enhance the 

inclusive education across districts in Pakistan. The district level diagnosis recognizes the 

most significant local factors that boost or hampers the inclusive education. This analysis 

provides a base to suggest appropriate policies.  The methodology for the analysis is 

discussed in section 2.  

In this regression analysis dependent variables are the indicators of inclusive education 

estimated by this study and the independent variables are factors that influence these 

indicators. The individual regression models are estimated for indicators of inclusive 

education representing its three aspects including education index, inequality coefficient, 

and inclusiveness coefficients (mainstream & regional). A set of 18 variables mentioned in 

section 2 is initially selected to include in regression analysis. The descriptive statistics of 

these regression variables are cited in Tables A.1 and A.2 in appendix.  The descriptive 

analysis shows high variability in the regressors, it improves the precision with which the 

parameters are estimated (Anon., 2016). 

The four regression models presented by equations 12-15 are estimated in this study by 

utilizing Stata 13. The assumptions of CLRM vital for cross-sectional data are identified 

-0.6

-0.4

-0.2

0

0.2

0.4

0.6

0.8
H

a
ri

p
u
r K

a
ra

k

M
a
la

k
a
n

d

C
h
it

ra
l

A
b

b
o
tt

a
b
a
d

L
a
k

k
i 

M
a
rw

a
t

P
e
sh

a
w

a
r

L
o

w
e
r 

D
ir

M
a
n

se
h

ra

B
a
n
n

u

N
o

w
sh

e
ra

M
a
rd

a
n K

o
h

a
t

S
w

a
t

S
w

a
b
i

C
h
a
rs

a
d

d
a T

a
n

k

D
. 

I.
 K

h
a
n

H
a
n

g
u

U
p

p
e
r 

D
ir

B
a
ta

g
ra

m S
h

a
n

g
la

B
u
n

e
r

K
o

h
is

ta
n

T
o

r 
G

h
a
r

Part (a): KPK's Districts 

Regional Inclusion Coeffient Mainstream Inclusion Coefficient



Tahira Tauheed & Muhammad Nasir 

20 

and are taken care of to generate robust estimates of regression coefficients. The robust 

standard errors are used to address the probable prevalence of heteroscedasticity (Williams, 

2015). To estimate  a parsimonious CLRMs for the education index, inequality coefficient, 

IC-mainstream, IC-regional are estimated by including different subsets of  independent 

variables from initially selected 17 variables. To control for high multicollinearity and to 

restore degree of freedom final models are selected on the basis of VIF values, overall 

significance of the model, and the model selection criteria of Akaike and Schwarz. In these 

selected models individual and mean VIFs are less than 2.5 and residuals are approximately 

normal and homoskedastic. The estimated regression models are reported in Table 6. 

The regression results demonstrate that being divisional headquarter, public investment 

in social infrastructure, eradication of gender bias, development of agriculture sector, and 

urbanization are the significant determinants of one or more aspects of inclusive education 

in districts of KPK. The public expenditure on health and education have a significant 

impact on all aspects of inclusive education.  The impact of physical infrastructure ( road 

density)  is found to be statistically insignificant for all aspects of inclusive education.  

 According to analysis the inequality coefficients of districts which are divisional 

headquarters are significantly high. It implies that in administrative centers the proportions 

of households excluded from mainstream of educational achievement is higher than other 

districts.  The regression results provide an empirical evidence for the strong role of social 

infrastructure to ensure a higher level of inclusive education. It is asserted by regression 

finding that total number of government /government high schools (an indicator of public 

education facilities) has a substantial and statistically significant effect on all indicators of 

inclusive development. The substantial effect of public spending on education provide an 

empirical evidence for multiplicity of benefits that investment in education yields (Mitra, 

2011). This finding leads to the policy recommendation of keeping education at the highest 

priority in development agenda. The regression results revealed that impact of number of 

hospital beds (an indicator of public health facilities) is statistically significant on all aspects 

of inclusive education in KPK districts. These findings are in line with the existing studies 

that witness the positive significant role of public health facility (James, 2016). The police 

stations as institutions for safeguarding law and order in the society are also found to be a 

significant factor of mainstream inclusive education. A noticeably clear picture of 

relationship between education status and sex ratio (gender discrimination) is portrayed 

from present analysis. The negative impact of high sex ratio on educational achievements 

leads to lower inclusive education. It signifies that female inclusiveness is a key prerequisite 

for inclusive education. It is depicted by regression results that cultivated area has a 

statistically significant positive effect on education index. A larger percentage of cultivated 

area leads to higher educational achievement. 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

21 

 

Table 6: Regression Models for Determinants of Inclusive Education 

               Regressand 

Regressor   

Education 

Index 

Inequality 

Coefficient 

IC-

Mainstream 
IC-Regional 

District HQ 
-0.0211   

(0.0320) 

      0.0460**   

 (0.0186) 

-0.0659   

(0.0641) 

-0.0479  

(0.0315)   

Urbanization 
 0.0038*   

(0.0020) 

-0.0005   

(0.0010) 

0.0074    

(0.0045) 

0.0007   

(0.0017) 

Sex ratio 
-0.0046*    

(0.0024) 

0.0004      

(0.0014) 

0.0034   

(0.0064) 

0.0002   

(0.0028) 

Govt. schools  
 0.0018**   

(0.0009) 
_______ _______ _______ 

Govt. High Schools _______ 
  -0.0145***   

(0.0043) 

   0.0782***    

(0.0160) 

 0.0212**   

(0.0096) 

Beds in Govt.  

Health Institutes 

  0.0168**   

(0.0069) 

-0.0090**   

(0.0041) 

    0.0351***   

(0.0132) 

 0.0146**    

(0.0070) 

Cultivated area 
2.6688**   

(1.1347) 

-0.3584   

(.6693) 

1.7009   

(2.7991) 

0.8350   

(1.2751) 

Road Density 
-0.0013   

(0.0014) 

(-0.0010)   

(0.0009) 

0.0022   

(0.0038) 

0.0011   

(0.0015) 

Police Stations 
-0.0398   

(0.0465) 

0.0398   

(0.0247) 

  -0.2345**   

(.1028) 

-0.0454   

(0.0523) 

Constant 
0.5892   

(0.2584) 

0.3693     

(0.1530) 

-0.8752    

(0.7379) 

0.1414   

(0.3021) 

R-Squared 0.7215        0.7540 0.8055 0.6365 

F value   12.77***      15.55 ***    21.41***   11.37*** 

RMSE  0.0738 0.0413 0.1726 0.0816 

Note: ***, **, * indicate 1%, 5% and 10% significance level. Robust standard errors are 

cited in parenthesis. 

6. Conclusions and Recommendations 

This paper provides an empirical study of the education inclusiveness in the province of 

Khyber Pakhtunkhwa (KPK) in Pakistan based on data from the most recent Pakistan Social 

and Living Standard Measurement (PSLM) survey 2014-15. It finds that in general, the 

magnitude of disparities and exclusion within districts and across districts in KPK rises with 

deterioration of education status. However, considerable disparities and/or exclusion in 

some top ranked districts are also observed. It is noted that mostly districts that are in low 

or very low category of education index are rich in any one or more than one natural resource 

endowment including minerals, forests, and cultivable lands. In contrast the majority 

districts with better status of education, low disparities, and high inclusion are either centers 

of administration, or home to small industries, or hub of commerce and trade. It points out 



Tahira Tauheed & Muhammad Nasir 

22 

to the skewed utilization of public and private funds, underutilization and wastage of natural 

resources, and the ignored agriculture sector.   

To achieve a higher level of inclusive education, the regions with different status of 

education and different hindering factors require different strategies. The policies must be 

formulated keeping in view all the aspects of inclusive education. The status of inclusive 

education of a region must be one of the criteria of allocating public funds. In the regions 

that are at a very low level of education, it is more important to get educational growth 

acceleration, as the inclusivity of education may have to come later. For the regions with 

higher level of education accompanied with high disparities and exclusions, a progressive 

taxation policy would be more effective. For the regions exhibiting high level of education 

and lower inclusion, it is vital to facilitate the emergence of inclusive institutions. The 

education policies must be designed that target the balance of educational achievements in 

urban and rural areas of KPK.  

A comparison of KPK districts’ human development estimates from Pakistan NHDR 

(2017) and inequality adjusted education level estimated by present study suggests that the 

dimensions of human development are not perfect substitutes of each other. These results 

suggest formulating public policies that focus on balanced development in all the 

dimensions of human development. 

It is recommended to allocate reasonable percentage of provincial and local bodies 

budget for the enhancement of quantity and quality of social infrastructure ( specifically 

basic education, health, and law and order). Based on highly significant negative impact of 

sex ratio (utilized as an indicator of gender discrimination) on inclusive education it is 

recommended to formulate effective policies for elimination of gender bias at all levels. The 

increasing trends of urbanization in KPK and the empirical evidence of its positive 

significant impact on inclusive education in this study imply that policies must be 

formulated to control these factors so that their negative effect could be avoided in the long 

run as well.  As a major proportion of population in KPK is dependent on agriculture sector, 

its development must be at top priority in inclusive education agenda.  A policy framework 

must be designed for uplifting and mechanizing agriculture sector. To reform the police 

department is also one of the important implications of the present analysis. 

There are some major limitations of this study that must be acknowledged. Some 

important economic factors of inclusive development could not be included in the analysis 

due to unavailability of data at the district level. For many indicators the available data is 

not standardized across provinces. It is suggested to formulate policy for collection and 

standardization of data about macroeconomic indicators at provincial, districts, and sub-

district level.  



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

23 

 

This study provides an empirical analysis of the existing status of inclusive education 

and its determinants in KPK in the best possible way. However, a great deal of additional 

research is required in this direction. Some recommendations for future research are the 

natural extensions of this study. First is the dynamic and comparative static analysis of 

inclusive education in KPK and other provinces of Pakistan utilizing different rounds of 

PSLM-HIES. The second is to estimate the inequality coefficient and coefficient of 

inclusion by utilizing various non-conventional values of risk aversion parameter and 

threshold for deprivation and compare its findings with that obtained by conventional 

measures utilized in the present study. Third is to include the qualitative aspects of education 

in its index. The forth is to utilize various measures of inequality such as Gini coefficient in 

addition to the Atkinson’s inequality index to measure the inequalities and compare the 

results. To recommend policies in accordance to each specific region and administration 

level, it is suggested for future studies to investigate the factors of inclusive development 

that could not be covered adequately in the present research specifically the institutions, 

economy, local customs and traditions, and geography (spatial analysis). The literature 

highlights some socio-political factors that could be responsible for adverse inclusive 

education status in certain regions (as indicated by the present study) of KPK. It is 

recommended for further research to execute case studies for specific regions to explore the 

impact of these factors on inclusive development. 

 

References 

Ahmed, A. & Rashid, S., 2018. Citizen report card study education sector Swat and Lower Dir - 

Khyber Pakhtunkhwa , Karachi: Transparancy International Pakistan. 

Akbar, A., 2015. Over 600,000 Afghan Refugees in KP. [Online] Available at: 

https://www.dawn.com/news/1167103 

Alkire, S. & Foster, J., 2010. Designing the Inequality adjusted Human Development Index (HDI), 

Oxford: Oxford Poverty and Human Development Initiative. 

Allison, P., 2012. When Can You Safely Ignore Multicollinearity?. [Online] Available at: 

https://statisticalhorizons.com/multicollinearity 

Anon., 1997. National Literacy Policies Pakistan. [Online] Available at: 

http://www.accu.or.jp/litdbase/policy/pak/ 

Atkinson, A. B., 1970. On the measurement of inequality. Journal of Economic Theory 2(3), pp. 

244-263. 

Berry, W. D., 1993. Understanding Regression Assumptions. London: SAGE Publication, Inc.. 

Bradshaw, J. & Mayhew, E., 2011. The Measurement of Extreme Poverty in Europian Union. 

York: European Commission. 



Tahira Tauheed & Muhammad Nasir 

24 

Burki, A. A., Memon, R. & Mir, K., 2015. Multiple inequalities and policies to mitigate inequality 

traps in Pakistan, Lahore: Oxfam. 

Foster, J. E., López-Calva, L. F. & Székely, M., 2005. Measuring the Distribution of Human 

Development: Methodology and an Application to Mexico. Journal of Human 

Development. 

Foster, J., Seth, S., Lokshinl, M. & Sajaia, Z., 2013. A uniform approach to measuring poverty and 

inequality Theory and practice. Washington, DC: World Bank. 

Gouleta, E., 2015. Educational assessment in Khyber Pakhtunkhwa Pakistan’s north-west frontier 

province: Practices, issues, and challenges for educating culturally linguistically diverse 

and exceptional children. Global Education Review, 2(4), pp. 19-39. 

Greene, W. H., 2005. Econometric Analysis. 5th ed. s.l.:Pearson Education. Jamal, H., 2016. 

Quantifying Sub-national Human Development Indices from Household Survey data, 

Karachi: Social Policy and Development Centre. 

James, C., 2016. Health and Inclusive Growth: Changing the Dialogue. s.l.:World Health 

Orgnization. 

Kato, H., 2014. Executive Summary. In: Perspectives on the Post-2015 Development Agenda. 

Tokyo: Japan International CooperationAgency Research Institute, pp. 1-15. 

Khattak, D., 2017. Reviewing Pakistan's Anti-Terror Fight, 3 Years After the Peshawar School 

Attack. [Online] years-after-the-peshawar-school-attack/ 

Lopez-Calva, L. F. & Ortiz-Juarez, E., 2011. https://www.springer.com: Springer 

Science+Business Media B.V. 2011 . 

Mack, J., 2016. Income threshold approach. [Online]  

Available at: http://www.poverty.ac.uk/definitions-poverty/income-threshold approach 

Mitra, D., 2011. Pennsylvania’s Best Investment: The Social and Economic Benefits of Public 

Education. [Online] Available at: 

https://www.elcpa.org/wpcontent/uploads/2011/06/BestInvestment_Full_Report_6.27.11.p

df 

Najam, A. & Bari, F., 2017. Pakistan Human Development Index Report, 2017, Islamabad: UNDP, 

Pakistan. 

Oluseye, I. C. & Gabriel, A. A., 2017. Determinants of Inclusive Growth in Nigeria: An ARDL 

Approach. American Journal of Economics, pp. 97-109. 

Pakistan Bureau of Statistics, 2016. PSLM 2014-15, Islamabad: Pakistan Bureau of Statistics. 

Rauniyar, G. & Kanbur, R., 2010. Conceptualizing Inclusive development: with application to 

Rural infrastructure and Development Assistance. Ithaca(Newyork): Department of 

Applied Economics and Management, Cornell University, Ithaca, Newyork. 

Seth, S., 2009. Inequality, Interactions, and Human Development. s.l.:Oxford Poverty & Human 

Development Initiative (OPHI). 

Suryanarayana, M. H., 2008. What is Exclusive about 'Inclusive Growth'?. Economic & Political 

Weekly, 25 October, pp. 93-101. 

Thode, H. C., 2002. Testing for Normality. New York: Marcel Dekker, Inc.. 

http://www.poverty.ac.uk/definitions-poverty/income-threshold


Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

25 

 

Townsend, I. & Kennedy, S., 2004. Poverty: Measures and Targets. [Online] Available at: 

http://www.parliament.uk  

uddin, Z. & Tahir, M., 2014. Monitoring of the delivery of educational services: A case study of 

sovernment schools in Khyber Pakhtunkhwa. The Dialogue, Volume IX, No. 3, pp. 271-

284. 

UNDP Pakistan, 2016. Development Advocate Pakistan, Volume 3, Issue 2, Inequality: Missing 

from the Public Agenda, Islamabad: UNDP Pakistan. 

UNDP, 2014. Technical notes. [Online]  

Available at: http://hdr.undp.org/sites/default/files/hdr14_technical_notes.pdf 

UNDP, 2015. Technical Notes. [Online]  

Available at: http://hdr.undp.org/sites/default/files/hdr2015_technical_notes.pdf 

UNDP, 2016. Human Development Report 2016: Human Development for Everyone, New York: 

UNDP. 

UNESCO, 2017. A guide for ensuring inclusion and equity in education. [Online]  

Available at: https://www.european-agency.org/sites/default/files/news/news-

files/UNESCO%20guide.pdf [Accessed April 2020]. 

Williams, R., 2015. Heteroskedasticity. [Online] Available at: 

https://www3.nd.edu/~rwilliam/stats2/l25.pdf 

Yousaf, N., 2013. Kyber Pukhtunkhawa's Sad South. [Online] Available at: 

https://www.dawn.com/news/1029031 

 

 

  

https://www.european-agency.org/sites/default/files/news/news-files/UNESCO%20guide.pdf
https://www.european-agency.org/sites/default/files/news/news-files/UNESCO%20guide.pdf


Tahira Tauheed & Muhammad Nasir 

26 

 

APPENDIX 
 

Table A.1: Descriptive Statistics of Variables in regression analysis of 

Inclusive Development 

Variable Mean Minimum Maximum S.D. 

Education Index (IE) 0.4442 0.2152 0.6552 0.1119 

Inequality coefficient (AE) 0.2627 0.1362 0.4099 0.0666 

IC-Mainstream 0.1950 -0.4699 0.7327 0.3131 

IC-Regional 0.4094 0.2095 0.6642 0.1083 

Forest density (percentage) 33.4716 0.0000 86.946 25.739 

Population density (per sq. km) 676.3255 30.1254 3396.24 678.29 

Urban Population (Percentage) 13.0295 0.0000 46.1468 11.168 

Sex ratio (Male to female) 102.2356 92.6900 124.360 5.5109 

Total No. of Govt. Schools 104.7996 30.8497 181.509 34.034 

No. of Govt. Primary schools 87.4001 23.9630 150.017 29.933 

No. of Govt. Middle schools 9.7419 3.6073 19.0003 3.1487 

No. of Govt. High schools 7.6576 2.9172 16.3179 2.8099 

No. of Colleges 1.8197 0.0000 2.8317 0.7508 

No. of Hospitals 0.6377 0.0000 1.7503 0.3589 

No. of beds in Govt. Health 

Institutions 
5.2704 0.0000 12.4336 2.8171 

Cultivated area  0.0311 0.0000 0.0736 0.0201 

No. of Factories 6.0789 0.0000 21.5085 6.5550 

Road density (per sq. km) 29.7069 5.5793 71.3936 15.955 

No. of Police stations 1.1245 0.5927 2.6824 0.4616 

Note: Number of schools, hospitals, factories and police stations are reported as per 

hundred thousand of population, and cultivated area is reported as a percentage of total 

area.  

Table A.2: Frequency Distribution of Categorical Determinants of Inclusive 

Development 

Variable Frequency Relative Frequency 

Divisional Headquarter 

No 20 80 

Yes 5 20 

Railway Station 

No 11 44 

Yes 14 56 

Airport  

No 4 16 

Yes 21 84 

 



Journal of Applied Economics and Business Studies, Volume. 4, Issue 1 (2020) 1-28   https://doi.org/10.34260/jaebs.411 

27 

 

Table A.3: Comparative Analysis of Education Indices of KPK Districts 

District 
Inequality Adjusted  

Education Index (IIE) 
Education Index (IE) 

  Present Study Present Study 
Pakistan NHDR  

2017 

Haripur         0.5660 0.6552 0.6367 

Karak 0.4758 0.5650 0.5567 

Malakand 0.4429 0.5425 0.5750 

Abbottabad        0.4381 0.5970 0.6400 

Chitral 0.4292 0.5345 0.5500 

Peshawar 0.4258 0.5462 0.5833 

Lower Dir 0.4203 0.5047 0.5033 

Mansehra 0.4113 0.5522 0.5500 

Lakki Marwat 0.3982 0.5057 0.5117 

Bannu 0.3948 0.4959 0.5133 

Nowshera 0.3871 0.5064 0.5033 

Mardan          0.3331 0.4541 0.5117 

Kohat 0.3295 0.4669 0.4950 

Charsadda         0.3214 0.4353 0.4683 

Swat 0.3197 0.4319 0.4600 

Swabi         0.3009 0.4306 0.4817 

Tank 0.2725 0.3807 0.4000 

D. I. Khan 0.2719 0.4121 0.4033 

Hangu 0.2557 0.3569 0.3850 

Upper Dir  0.2537 0.3584 0.3600 

Batagram          0.2326 0.3341 0.3533 

Buner 0.2096 0.3044 0.3717 

Shangla 0.1924 0.2975 0.3083 

Tor Ghar         0.1395 0.2211 0.2483 

Kohistan 0.1270 0.2152 0.2483 

Source: Authors’ calculations and National Human Development Index Report (2017) 

 

  



Tahira Tauheed & Muhammad Nasir 

28 

Table A.4: A Mapping of KPK Districts' Human Development Indices & Education 

Indices 

District 

Present Study 
Pakistan NHDR  

2017 
Difference 

in IIE & 

HDI 

Ranks 
Inequality Adjusted  

Education Index (IIE) 
Rank HDI Rank  

Haripur         0.5660 1 0.732 3 -2 

Karak 0.4758 2 0.615 13 -11 

Malakand 0.4429 3 0.69 6 -3 

Abbottabad        0.4381 4 0.761 1 3 

Chitral 0.4292 5 0.674 8 -3 

Peshawar 0.4258 6 0.756 2 4 

Lower Dir 0.4203 7 0.6 15 -8 

Mansehra 0.4113 8 0.676 7 1 

Lakki Marwat 0.3982 9 0.577 17 -8 

Bannu 0.3948 10 0.613 14 -4 

Nowshera 0.3871 11 0.697 5 6 

Mardan          0.3331 12 0.703 4 8 

Kohat 0.3295 13 0.666 9 4 

Charsadda         0.3214 14 0.65 11 3 

Swat 0.3197 15 0.618 12 3 

Swabi         0.3009 16 0.654 10 6 

Tank 0.2725 17 0.459 21 -4 

D. I. Khan 0.2719 18 0.496 20 -2 

Hangu 0.2557 19 0.594 16 3 

Upper Dir  0.2537 20 0.375 23 -3 

Batagram          0.2326 21 0.505 19 2 

Buner 0.2096 22 0.528 18 4 

Shangla 0.1924 23 0.438 22 1 

Tor Ghar         0.1395 24 0.24 24 0 

Kohistan 0.1270 25 0.229 25 0 

Source: Authors’ calculations and Pakistan National Human Development Index Report 

(2017)