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Soc Indic Res (2010) 98:73–88 DOI 10.1007/s11205-009-9518-6 Variability of Quality of Life at Small Scales: Addis Ababa, Kirkos Sub-City Elsa Sereke Tesfazghi Æ J. A. Martinez Æ J. J. Verplanke Accepted: 6 September 2009 / Published online: 26 September 2009 The Author(s) 2009. This article is published with open access at Springerlink.com Abstract Urban quality of life (QoL) is becoming a subject of urban research mainly for western and Asian countries. Such attention is due to an increasing awareness of the contribution of QoL studies in identifying intervention areas and in monitoring urban planning policies. However, most studies are carried out at city or country level that can average out details at small scales. In this paper we present a case study where the urban QoL at small scale is measured and its variability is evaluated for Kirkos sub-city of Addis Ababa, Ethiopia. The study is based on data from a household survey and some secondary data. Geographic information system (GIS) is applied to extract proximity information (e.g., distance to school facilities) and visualize the spatial distribution of QoL. Statistical methods such as factor analysis are applied to establish an index of objective QoL while coefﬁcient of variation is applied to evaluate spatial variability of subjective QoL. The results of this study reveal that the subjective quality of life (QoL) scores show large variation in the sub-city. The mean QoL score also indicates that the respondents in the sub-city, on average, are dissatisﬁed with the quality of their life. Respondents with higher education level and income are on average, however, more satisﬁed with their QoL in the sub-city. The results reveal that the lower the QoL in the Kebele, the larger the variability of QoL within the Kebele. Such indicates how aggregation at large scale can average out the variation of QoL at small scales. The results reveal the presence of QoL variability at small scales. The comparison between the subjective and the objective QoL at Kebele level indicated a state of dissonance, adaptation, deprivation or well-being. Such results suggest that the two measures do not always indicate the same level of QoL. Keywords Quality of life Quality of life variability GIS Kirkos sub-city Addis Ababa E. S. Tesfazghi (&) Helvetas Ethiopia, Addis Ababa, Ethiopia e-mail: firstname.lastname@example.org; email@example.com J. A. Martinez J. J. Verplanke Department Urban and Regional Planning and Geo-Information Management, International Institute for Geo-Information Science and Earth Observation-ITC, Enschede, The Netherlands 123 74 E. S. Tesfazghi et al. 1 Introduction Quality of life (QoL) has been a subject of study in the ﬁeld of several disciplines (Foo 2000; Bonaiuto et al. 2003; Li and Weng 2007; Møller 2007; Brereton et al. 2008; Lee 2008; Moro et al. 2008). The outcomes of urban quality of life studies may help city planners to understand and prioritize the problems that the community face. As stated by Lee (2008), QoL information can be used to diagnose previous policy strategies and to draft future planning policies. As a result, research in this ﬁeld can lead to improvements in the QoL of residents. Most of the quality of life studies cover cities of the western countries, see Rogerson et al. (1989) and Wong (2001) for England; Marans (2003) for Detroit metropolitan area in USA; Møller (2007), Higgs (2007) and Richards et al. (2007) for South Africa; Moro et al. (2008) for Ireland; Lee (2008) for Taiwan. However, quality of life studies for the cities in the East Africa region, particularly for Ethiopia, are noticeably absent. As such there is a need to evaluate and adapt the QoL concepts which were developed for the developed world and Asian countries to the East Africa region. Commonly quality of life is studied at regional and country level. The purpose of studying QoL at those levels is mainly to compare its variations and in some cases benchmarking different areas. Such comparisons can also be complemented with better knowledge on local variability in quality of life. Studies that show the small scale vari- ability of QoL are, however, rare although it is often the case that interventions are targeted and implemented at smallest administrative levels. Quality of life is often measured using either subjective or objective indicators. Sub- jective indicators are derived from surveys of resident’s perception, evaluation and satis- faction with urban living. Lee (2008) stated that quality must be subjective and the most appropriate method of exploring QoL is by directly asking people about their perception. Subjective QoL is often measured on a Likert scale usually ranging from ‘very dissatisﬁed’ to a ‘very satisﬁed’. Bramston et al. (2002), Ibrahim and Chung (2003), McCrea et al. (2006) and Lee (2008) used subjective indicators to measure quality of life. Subjective methods are preferred over objective methods, particularly for planning and policy pur- pose, as it is able to provide more valuable feedback (Ibrahim and Chung 2003). Subjective indicators offer valuable information when tackling community based issues through a bottom up approach. However, as described by Foo (2000), subjective indicators have lower reliability and higher validity than objective indicators. One reason for the problem of reliability for subjective reporting, as also stated by Das (2008), is that these indicators cannot represent the actual environmental conditions in which people live. Also, resident’s subjective perception of well-being is often affected by expectations. Objective QoL is measured using objective indicators which are related to observable facts that are derived from secondary data, see Li and Weng (2007) and Apparicio et al. (2008). Examples of secondary data include population density, crime rate, educational level and household characteristics. However, as stated in Foo (2000), objective indicators themselves may not express the true quality of life since these indicators have high measurement reliability but low validity in assessing human wellbeing. A very important fact is that quality can not be determined by objective conditions only and it is important to take into account subjective well-being of individuals. Also Das (2008) stated that these There is no commonly deﬁned range for the Likert scale. For instance, Foo (2000) applied a 5-point Likert scale ranging from a ‘very dissatisﬁed’ to a ‘very satisﬁed’ while Brereton et al. (2008) applied a 7-point Likert scale. 123 Variability of Quality of Life at Small Scales 75 Table 1 Sates of quality of life Objective condition Good Bad Subjective condition Good Well-being Adaptation Bad Dissonance Deprivation indicators are very often imperfect and may suffer from either under reporting or over reporting. As stated by Turksever and Atalik (2001), measuring quality of life using both sub- jective and objective measures is necessary to provide an understanding of QoL. Mea- suring quality of life using both indicators can beneﬁt from the strengths of each of the perspectives, i.e., to arrive at more reliable and valid information about QoL. Such approach is also advocated by Rogerson et al. (1989), Marans (2003), Van Kamp et al. (2003) and Li and Weng (2007). The combination of both subjective and objective QoL measures allows the comparison of the possible variations between the two perspectives. Depending on the level of QoL that is measured by subjective and objective indicators, there will be well being, depri- vation, adaptation, or dissonance. As stated by Zapf (1984) cited in Craglia et al. (2004), if an individuals subjective feeling and objective living conditions are good then we say there is well being. If both conditions are bad then there is deprivation. On the other hand, if the subjective condition is good and the objective condition is bad there is adaptation. However, if the subjective condition is bad and the objective condition is good then there is dissonance (Table 1). In this study, quality of life is measured in the Kirkos sub-city, Addis Ababa, Ethiopia, using subjective and objective attributes of individuals’ life. The spatial variability of QoL at Kebele level is also analyzed. Objective QoL index is developed using both household and spatial variables. The subjective and the objective QoL in the sub-city are also compared in terms of some states of QoL. The ﬁrst section of this paper starts with a description of the study area. In the second section the methodology of the study is presented. The third section continues presenting the results and discussion, including the subjective QoL measurement, the QoL variability, the objective QoL measurement and the comparison of both the subjective and the objective QoL. The conclusion is presented in the latter sections of the paper. 2 Study Area Description 2.1 Kirkos Sub-City Kirkos sub-city is one of the ten sub-cities of Addis Ababa, Ethiopia. As shown in Fig. 1, Kirkos sub-city is located at the centre of Addis Ababa. National sport and cultural facilities such as Addis Ababa stadium and Meskel square are located in the sub-city. The sub-city hosts international ofﬁces such as the ofﬁce for Organization for African Union (OAU) and the United Nations Economic Commission for Africa (ECA). 123 76 E. S. Tesfazghi et al. Fig. 1 Study area. a Addis Ababa sub-city boundaries, b building and road network in Kirkos Kirkos sub-city covers a surface area of 1,472 ha and has a population size of about 220,991 (Central statistical agency of Ethiopia 2007). The sub-city is one of the densely populated sub-cities in Addis Ababa with a population density of 150 persons per hectare. Kirkos sub-city is characterised by a combination of modern buildings and old resi- dential settlements. Also as shown in Fig. 1 the sub-city is characterized by dense built-up areas. Superﬁcial observations of Kirkos’s residential areas suggest that it is inhabited by residents with high difference in income. The sub-city has 11 Kebeles, which constitute the smallest administrative levels in Ethiopia. 3 Methodology 3.1 Data Set The data from 11 Kebeles of Kirkos sub-city, Addis Ababa was collected through inter- views using a structured questionnaire during the period from 17 September 2008 to 17 October 2008. For the household survey, the main criterion was that the respondents must be head of the household. Moreover, the respondents must have lived in the sub-city for a minimum of 2 years. A sample of 607 households is obtained through a stratiﬁed and systematic sampling method. A stratiﬁed sampling method is applied to classify the 11 Kebeles of Kirkos sub- city into blocks or strata. First, Kebeles were classiﬁed into two to four large blocks mainly based on the old administrative boundary. Secondly, these large blocks or strata are classiﬁed into small strata based on residential structure which is mainly deﬁned applying access roads as a boundary for the settlements. Prior knowledge of the study area as well as the use of Google earth and Quick Bird (2002) image was helpful in classifying areas for strata. The assumption is that residents that are grouped in same small stratum can share some common characteristics. The rational behind classifying the Kebeles into strata is to ensure spatial diversity of households from each block. Stratiﬁcation is also applied to have 123 Variability of Quality of Life at Small Scales 77 representative sample of households and represent the heterogeneity in the sub-city as much as possible. Systematic sampling method is used to identify the households during ﬁeldwork. The total number of household in each Kebele is about 2,200–5,000. The interval for systematic sampling is calculated by dividing the total number of households by 55, which is the needed sample size from each Kebeles. Thus one household every 40–90 households were selected for interview. The subjective quality of life (QoL) in the sub-city is measured in terms of intuitive and rational response. During the household survey, both the intuitive and the rational quality of life were measured for two similar questions. The ﬁrst question is: ‘what do you feel about your life as a whole?’ The response to this question is intuitive. The other question is ‘Taking all the domains of life above into consideration, how satisﬁed are you with your life as a whole at present?’ The response to this question is considered as rational. The rational response would be inﬂuenced by the answers to preceding questions and is therefore better thought through than the intuitive one, which is more instinctive. The domains of life selected in this study based on literature are housing, built-environment, neighbourhood safety, neighbourhood sanitation, quality of public services, access to public services, social connectedness and family income. Data analysis was also performed to evaluate the objective quality of life in the sub-city. Prior to the analysis, data preparation on the 13 selected objective attributes (variables) was performed. The variables to measure objective QoL include both individual characteristics and spatial variables (Table 2). Some of the selected individual characteristics such as employment status, level of education and household tenure were categorical variables. These attributes are transformed into a score of 0–10 based on their contribution to quality of life. This method of data transformation is adopted from Zebardast (2009). For instance, the variable employment status has two classes that are employed and unemployed. The categories are transformed into a minimum score of 0 and a maximum score of 10. The assumption is that employed respondents have relatively high QoL than unemployed respondents. The variable Income is transformed using natural logarithm. The remaining household characteristics such as household size, number of dependent children and number of rooms in a house are continuous and no transformation is computed on these variables. Geographic information system (GIS) is used to derive proximity variables which are nearest distance to school and health facilities. Following McCrea et al. (2005), the centroid of the block maps is used to identify the nearest distance to the facilities e.g., primary school. Population density is measured as total population (2007) divided by total area of each Kebeles. Building density is measured as total built-up area divided by total surface area of each Kebeles. Crime rate is measured based on the description applied in Moro et al. (2008). It is measured as a number of reported crimes in each Kebeles per 100,000 of the population. Number of trafﬁc accident is measured as number of reported accidents in each Kebele. The spatial variables are assumed the same for all respondents in the speciﬁc Kebeles. 3.2 Subjective Quality of Life and its variability Descriptive statistics is applied to measure subjective quality of life at the sub-city level. The response is measured using a six point Likert scale that ranges from one for completely In Moro et al. 2008, crime rate is deﬁned as the number of headline crimes in the respondent’s local authority area per 100,000 of the population. 123 78 E. S. Tesfazghi et al. Table 2 Objective variables description Variable name Description Type Transformed score Employment status Respondent is employed Dummy 10 Respondent is unemployed 0 Level of education Respondent is not educated Dummy 0 Respondent has primary education 4 Respondent has secondary education 7 Respondent has vocational qualiﬁcation 9 Respondent has university degree 10 Household tenure Respondent owns their home Dummy 10 Respondent lives in Kebele house 7 Respondent lives in private rented house 5 Respondent lives in housing agency rented 4 house Others 3 Income Family monthly income (log) Continuous – Household size Number of individuals in a house Continuous – Number of dependent Number of dependent children in a house Continuous – children Number of rooms in a house The total number of rooms in a house Continuous – Distance to school facilities Measured as the nearest distance to the schools Continuous – from the centroid of the block maps Distance to health facilities Measured as the nearest distance to the health Continuous – facilities from the centroid of the block maps Population density Measured as total population (of the year 2007) Continuous – divided by total area of each Kebeles Building density Measured as total built-up area divided by total Continuous – surface area of each Kebeles Crime rate It is measured as number of reported crimes in Continuous – each Kebele per 100,000 of the population Number of trafﬁc accident Measured as number of reported accidents in Continuous – each Kebele dissatisﬁed to six for completely satisﬁed. The cumulative percentage of respondents is calculated to compare the rational and intuitive QoL. Descriptive statistics is also applied to measure the QoL at Kebele level. The mean score is used to aggregate the QoL for each Kebele. GIS is used to visualize the distribution of QoL in the sub-city by creating thematic maps. Following Turksever and Atalik (2001), spatial statistics in terms of the coefﬁcient of variation (CV) is applied to study the variability of the subjective QoL at Kebele level. GIS is applied to visualize the variability and to identify clustering of Kebeles with high or low variability by mapping the calculated CV for each Kebele. The CV is computed as standard deviation of the QoL scores divided by the mean of the scores and it indicates an absolute variability. To evaluate the relation between QoL scores and its spatial variability, the correlation coefﬁcient is computed between mean QoL and the CV. 123 Variability of Quality of Life at Small Scales 79 3.3 Objective Quality of Life Factor analysis is applied to identify the underlying dimensions of objective quality of life in the sub-city. An index of objective quality of life is developed based on the method presented by Li and Weng (2007). The QoL index is established using the score of the dimensions of objective QoL that was estimated by the factor analysis. The overall score of each respondent is obtained by weighting each factor score by the respective variance. Fol- lowing, Li and Weng (2007), in this study, the objective QoL index for Kirkos is developed by weighing the dimensions with the variance of the respective factors. A minimum–maximum standardization technique is applied to transform the objective QoL score to score of 1–6 to have a similar range of values as that used for the subjective QoL. A score of 1 represents the lowest objective QoL and a score of 6 represents the highest objective QoL. The standardized score is aggregated using the mean value for each Kebele. 3.4 States of Overall Quality of Life Following Das (2008), the correlation coefﬁcient is applied to compare the scores of the subjective QoL and the index of the objective QoL derived for every individual house- holds. The comparison between the subjective and the objective QoL at Kebele level is evaluated based on the theoretical concept that is described in Zapf (1984) cited in Craglia et al. (2004). First, the QoL score that is perceived by individuals is aggregated in terms of the mean score per Kebele. Next, the objective QoL score, which is established using factor analysis, is aggregated in terms of the mean score per Kebele. Finally, a two-way matrix is developed to assess the condition of both the subjective and the objective QoL for each Kebeles. GIS is used to visualize the four conditions of QoL in Kirkos sub-city. 4 Results and Discussion 4.1 Subjective Quality of Life 4.1.1 Intuitive and Rational QoL Score at Sub-City Level Table 3 shows the percentage of respondents’ in Kirkos sub-city that are categorized by level of subjective QoL based on their response. When respondents were asked about their intuitive QoL, 26% expressed some level of satisfaction including 3% who expressed Factor analysis is a statistical technique commonly used to extract a sub-set of uncorrelated dimensions that explain the variance observed in the original data set. With factor analysis it is possible to derive from a large set of variables a set of factors or dimensions. Each of them can be thought of as a macro or ‘‘super variable’’ that represents a cluster of highly correlated variables. Priori to applying factor analysis, the suitability of the data was checked based on the Kaiser–Meyer– Olkin (KMO) and Bartlett’s tests. The requirement to apply factor analysis is that the KMO value must be great than 0.5 and the Bartleet’s test value must be less than 0.1 (Li and Weng 2007). To determine the number of factors extracted the eigenvalue criterion is applied. In this study, orthogonal varimax rotation method is applied to ensure that the attributes are maximally correlated with only one factor and for ease of interpreting the factors. To ensure that the factor scores are uncorrelated and to avoid the inﬂuence of different measurement scale on the resulting score, the Anderson– Rubine method is carried in identifying the factor score coefﬁcients. 123 80 E. S. Tesfazghi et al. Table 3 Percentage of respondents with speciﬁc level of intuitive and rational QoL Level of subjective QoL Intuitive QoL Rational QoL Percentage (%) Cumulative (%) Percentage (%) Cumulative (%) Completely dissatisﬁed 24 24 15 15 Very dissatisﬁed 24 48 16 31 Dissatisﬁed 26 74 31 62 Satisﬁed 17 91 26 88 Very satisﬁed 6 97 8 96 Completely satisﬁed 3 100 4 100 Mean (Likert) 2.67 3.06 Mode (Likert) 3.00 3.00 Standard deviation (-) 1.3 1.3 complete satisfaction. About 74% of the respondents said they are dissatisﬁed with their quality of life in general. When respondents were asked about their rational QoL, 38% expressed some level of satisfaction including 4% who expressed complete satisfaction. About 62% of the respondents said they are dissatisﬁed with their quality of life in general. More respondents expressed dissatisfaction with life in terms of the intuitive response than the rational response (74 and 62%, respectively). This implies that rationally the QoL is perceived better when respondents consider all the different domains of life. For both responses the (calculated) mode is three, i.e., most of the responses indicate ‘dissatisfaction’. The cause of the difference could be due to the reason that the intuitive response is instinctive and not well thought through. However, the rational response is well-thought through and inﬂuenced by the domain satisfactions. The result agrees with the ﬁnding by Ibrahim and Chung (2003) that reported higher percentages of respondents that are satisﬁed and very satisﬁed in terms of the rational response than the intuitive response for selected settlements in Singapore. Das (2008) reported a different result that a lower percentage of respondents were satisﬁed in terms of the rational response than the intuitive response for Guwahati, India. The above studies are carried out for Asian region and both studies applied a ﬁve point Likert scale. Although the studies suggest that there could be some difference between the two responses, the difference in study area makes comparison of the ﬁndings difﬁcult. For further analysis, wherever the subjective QoL was used in this study, it was pre- ferred to consider the rational response. This was preferred since it showed high correlation with the domain satisfactions and since it is better thought through than the intuitive response. 4.1.2 Rational QoL Score at Kebele Level Measuring QoL at the sub-city level is expected to hide variations in the QoL at a smaller scale, i.e., at Kebele level. The map in Fig. 2 shows the spatial distribution of the mean score of the rational QoL in Kirkos sub-city. Each polygon in the map deﬁnes a speciﬁc Kebele. Small values indicate Kebeles with low QoL while high values indicate Kebeles with high QoL. The map shows that rationally, the respondents’ in the sub-city feel either satisﬁed (i.e., a value of 4) or ‘dissatisﬁed’ or worst (i.e., a value of less than 4) about their 123 Variability of Quality of Life at Small Scales 81 Fig. 2 Spatial distribution of averaged rational QoL in Kirkos sub-city. Note that a Likert scale of 1 represents ‘completely dissatisﬁed’, 2 represents ‘very dissatisﬁed’, 3 represents ‘dissatisﬁed’, 4 represents ‘satisﬁed’, 5 represents ‘very satisﬁed’ and 6 represents ‘completely satisﬁed’ Fig. 3 Percentage of respondents’ expressing any level of dissatisfaction in each Kebele life. The map also shows that there is some pattern of clustering of Kebeles with high or low values. For instance, Kebeles with low QoL are clustered in the south-western part of the sub-city. The map in Fig. 3 shows the percentage of respondents’ expressing any level of dis- satisfaction in each of the Kebeles. The highest percentage is shown in Kebele 13/14 and the lowest percentage is in Kebele 02/03. 123 82 E. S. Tesfazghi et al. Fig. 4 QoL variability in terms of coefﬁcient variation (CV). Note that high value indicates high variability 4.1.3 Variability of Subjective Quality of Life at Kebele Level Although some heterogeneity in QoL is expected at small scales, studies that quantify such variability are rare in the literature. As such, one of the objectives of this study is to explore the variability of QoL within each Kebele of the Kirkos sub-city. This will help to evaluate if the Kebeles are heterogeneous or homogeneous in terms of the QoL of the residents. The outcome will indicate if studying QoL at lower level than the Kebele is necessary. The variability of QoL at small scale, i.e., in a speciﬁc Kebele, is evaluated through coefﬁcient of variation (CV). Figure 4 shows the CV of the mean rational QoL in each Kebele. The CV ranges from 0.25 to 0.63. A small CV values imply less variability while high CV implies high variability. The map shows high QoL variability for Kebele 08/09 and Kebele 10. After reviewing similar studies, the variability in the QoL at different scales that are country, city, district and census division levels are summarized in Table 4 which shows the CV at different level. The reviewed studies did not report the CV except Turksever and Atalik (2001). As such the CV of the remaining studies was calculated from the reported mean and standard deviations. As shown in Table 4, the standard deviation in this study is much larger than that reported by other studies. However, standard deviation is affected by the mean score and as such the CV provides a much better explanation of the variability since it is the ratio of standard deviation and mean. The effect is that the measure of variability is not much dependent on the mean score. In terms of CV, QoL variability is mostly smaller at country level than at city, district or census division level. This shows how large scale studies average out the variability at small scale. The QoL of Kebeles with high variability can be further studied at sub-Kebele levels if there is a desire to prioritize intervention areas within a speciﬁc Kebele. The relationship between mean subjective QoL and CV is shown in Fig. 5. Mean QoL scores correlates negatively with CV that suggests the higher the QoL the less variable the 123 Variability of Quality of Life at Small Scales 83 Table 4 Variability of subjective QoL at different scale Literature Description Scale Standard Mean CV Likert deviation Foo (2000) Singapore Country 0.63 3.55 0.18 5 Turksever and Atalik (2001) Istanbul City 0.50 1.48 0.34 4 Das (2008) Guwahati, India City 0.92 3.43 0.27 5 Turksever and Atalik (2001) Istanbul District 0.22–0.37 4 Foo (2000) Singapore Census division 0.09–0.21 5 Tesfazghi (2009) Addis Ababa Kirkos sub-city 1.30 3.06 0.43 6 Kebele 0.25–0.63 6 Fig. 5 Relation between coefﬁcients of variation and 2 R = 0.77 mean QoL 2.0 2.5 3.0 3.5 4.0 4.5 Mean QoL QoL is. This implies that those Kebeles with high level of QoL are relatively homogeneous in terms of QoL while Kebeles with low level of QoL are relatively heterogeneous in terms of QoL. The exponential relationship between the mean subjective QoL and the CV value is deﬁned in the following equation: 0:4349M CV ¼ 143:96e where CV is coefﬁcient of variation, M is the mean score of the subjective QoL, and e is the base of natural logarithm which is 2.718. The equation was ﬁtted with R = 0.77 that indicates satisfactorily performance. 4.2 Objective Quality of Life 4.2.1 Factor Analysis There are several objective attributes (variables) that may affect quality of life. The main challenge is how to develop indices from these attributes that can be used to predict QoL. Factor analysis is applied in this study to develop these indices using several objective attributes. Thirteen variables which reﬂect both household and spatial characteristics are studied. CV(%) 84 E. S. Tesfazghi et al. Table 5 Factor loading matrix for objective QoL attributes Attributes Factors 123 4 5 Building density 0.918 Population density 0.889 Employment status 0.823 Education level 0.754 Ln family Income 0.709 Distant to health facility -0.715 Number of trafﬁc accident 0.711 Crime rate 0.625 Distance to school facilities 0.609 Number of rooms in a house 0.828 Household tenure 0.810 Number of dependent children 0.888 Household size 0.869 Eigenvalue 2.82 2.28 1.73 1.55 1.18 Percentage of variance explained 19.57 14.35 13.91 13.60 12.15 % Total explained variance 73.57% Extraction method: principal component analysis Rotation method: varimax with Kaiser normalization The Kaiser–Meyer–Olkin (KMO) value is 0.59 and the Bartlett’s signiﬁcance test is 0.0. This implies that the data is suitable for factor analysis. Five factors with an eigenvalue greater than 1 are extracted in this study. The result of the factor analysis is shown in Table 5. Attributes with factor loadings of greater than 0.5 are considered in identifying the dimensions. A label or meaning is attached to each factor in the next section. 4.2.2 Dimensions of Objective Quality of Life The factors that are shown in Table 5 can be considered as the underlying dimensions of objective QoL in the Kirkos sub-city. The ﬁve factors explain 73.57% of the total variance in the data set. The ﬁrst factor explains 19.57% of the variance while the remaining factors explain 12.00–14.00% of the variance. This implies that the relative importance of the factors is almost equal and removing any one of the factors may result in loss of information. The ﬁve factors are interpreted to deﬁne the dimensions of objective QoL in the Kirkos sub-city as follows: First factor: This factor can be interpreted as crowdedness (CD) since it shows high loadings on building density and population density. The two variables are positively correlated with the factor. This suggests that the higher the score in this factor, the higher the crowdedness and the smaller the space for people to live Second factor: This factor can be interpreted as socio-economic status (SE) since it shows high loadings for instance on employment status and family income. All the 123 Variability of Quality of Life at Small Scales 85 attributes are positively correlated with the factor. The higher the score in this factor, the higher the economic aspects of quality of life Third factor: This factor is a combination of proximity and neighbourhood safety attributes. Crime rate, number of trafﬁc accident and distance to school facilities are positively correlated with the factor, while distance to health facilities is negatively correlated with the factor. This may be a result of a statistical interaction between the safety and proximity variables. The factor can be labelled as a combination of safety and proximity dimension (SP) Fourth factor: This factor can be interpreted as housing dimension (HD) of QoL since it shows high loadings on the number of rooms per house and household tenure. The two attributes are positively correlated with the factor indicating the higher the score of these attributes the higher the score of the HD of QoL Fifth factor: This factor can be interpreted as demographic dimension (DM) of QoL. This factor shows high loading on number of dependent children and household size. The higher the score in this factor, the lower the number of people living in a house 4.2.3 Objective QoL Index An index of quality of life is developed using objective attributes. This will help for designing future studies of urban QoL in the East Africa region. For instance, it can reveal the dominant dimension of QoL and as such the attributes of such dimension should be given more attention while designing data collection schemes. The QoL index is developed by combining the scores of the ﬁve selected factors that relate to the objective dimensions of QoL. The overall objective score of each respondent is obtained by weighting each factor score by the respective variance as follows. QoL ¼ð19:58 CD þ 14:35 SE 13:91 SP þ 13:60 HD 12:15 i i i i i DM Þ=100 ð1Þ where QoL is quality of life score of respondent i,CD is crowdedness score, SE is socio- i i i economic score, SP is safety and proximity score, HD is housing score and DM is i i i demographic score of respondent i. The sign in the equation shows the direction of rela- tionship between QoL and its dimensions. Socio-economic and housing dimensions have positive contribution to quality of life. This implies that the higher the score in the socio- economic and housing dimension, the better the QoL. While crowdedness, safety-prox- imity and demographic dimensions have negative contribution to QoL in the sub-city. This implies that the higher the score in these dimensions, the lower is the QoL. For instance, the higher the score of crowdedness, the smaller the space for people to live and a consequent worse quality of life. The objective QoL score that is estimated by applying Eq. 1 varies between -1.49 and 1.42. Minimum–maximum standardization method is applied to transform the score to 1–6 which is similar to the scale range of the subjective QoL score in this study. This will help for ease of comparability of the index with subjective QoL score in the sub-city. A score of 1 represents low quality of life and a score of 6 represents high QoL. 4.3 Combined Subjective and Objective QoL The condition of QoL in each Kebele is identiﬁed as a state of deprivation, well-being, dissonance or adaptation based on the average score. A score of 3.5 is applied to 123 86 E. S. Tesfazghi et al. Fig. 6 The combined effect of subjective and objective QoL in Kirkos sub-city differentiate between ‘good’ and ‘bad’ QoL. If both the subjective and objective QoL are good then there is well-being while if both are bad then there is deprivation. If the objective is good but the subjective is bad then there is dissonance while if the objective is bad but the subjective is good then there is adaptation. The map in Fig. 6 shows the distribution of the QoL depending on whether the sub- jective and the objective QoL in Kirkos sub-city are good or bad. Although the objective living condition in Kebele 11/12 is bad, the individual’s perception of the living condition in that Kebele is good. In terms of QoL, we can say that there is adaptation in Kebele 11/12. The objective QoL in this Kebele is low mainly due to the fact that the Kebele is over- crowded and it has low level of housing conditions compared to other Kebeles. The sub- jective QoL of this Kebele is high compared to the objective QoL probably due to the fact that the respondents are satisﬁed with some of the domains of life. For instance, the respondents in this Kebele, expressed satisfaction with housing, built-environment, neighbourhood safety, access to public services and social connectedness. On the other hand, despite good objective living conditions, the individually perceived subjective QoL in Kebeles 01/19, K10, K08/09 and K05/06/07 is bad or low. Therefore, we can say that there is dissonance in these Kebeles. The objective living conditions in these Kebeles are relatively good mainly due to the fact that these Kebeles are less crowded and have respondents with high economic condition compared to other Kebeles. The subjective QoL of the four Kebeles is low compared to the objective QoL probably due to the fact that the respondents are dissatisﬁed with some of the domains of life. For instance, the respondents in these four Kebeles, expressed dissatisfaction with housing, income and sanitation. Both subjective and objective living conditions are bad in Kebele 13/14, K15/16 and K20/21. We can say that there is deprivation in these Kebeles. The opposite is the case where both subjective and objective living conditions are good, like in Kebeles 02/03, K04 and K17/18. We can then say there is well-being in those Kebeles. 123 Variability of Quality of Life at Small Scales 87 5 Conclusion In this study, the subjective QoL is measured and its spatial distribution is evaluated in Kirkos sub-city of Addis Ababa while the objective QoL is estimated from objective attributes that are collected from ﬁeld survey. At the sub-city level, the mean score of response of the respondents indicate that the respondents are dissatisﬁed with the quality of their life. However, there is large variation between the QoL of the respondents in the sub- city. For instance, about 4% of the respondents in the sub-city are ‘completely satisﬁed’ and 15% are ‘completely dissatisﬁed’. The remaining 81% of the respondents expressed a satisfaction level that ranges between the two extremes. At smaller scale than the sub-city, i.e., at Kebele level, respondents of all Kebeles expressed dissatisfaction. However, there is a large variation at Kebele level within the expressed satisfaction of respondents. The results indicate that aggregation at larger scale, i.e., the sub-city level, can average out the variability of QoL that exists at small scales, i.e., at Kebele level in this study. The variability in the subjective QoL in the sub-city is evaluated using coefﬁcient of variation (CV). The result indicated that the variability of QoL in each Kebele decreases somehow exponentially as the QoL in the Kebele increases. Such result suggests that Kebeles with high QoL are perceived relatively homogeneous in terms of QoL while Kebeles with low QoL are perceived relatively heterogeneous. The dimensions of the objective QoL in Kirkos are crowdedness, socio-economic status, safety and proximity, housing and demography. Using these dimensions of objective QoL, an index of objective QoL is developed. The combined effect of sub- jective and objective QoL in the sub-city is studied using the subjective QoL score and the index that is developed for the objective QoL. The combined effect of the subjective and the objective QoL indicated a state of dissonance, adaptation, deprivation or well- being in each Kebele. Well-being and deprivation indicate the subjective and the objective perspectives measured the same level of QoL. However, dissonance and adaptation indicate the subjective and the objective perspectives do not necessary mea- sure the same level of QoL. The result in this study also indicates the need to study the combined effect of both subjective and objective QoL. Relative to the subjective per- spective, the objective perspective lacks validity since most of the formulation of the index is determined by the researchers’ judgment, standards and norms or existing for- mulations that may not accurately reﬂect residents’ satisfaction. In general, the ﬁndings of this study indicate that large scale study can hide the vari- ability of QoL at small scales. The ﬁndings also reveal the importance of studying both subjective and objective QoL instead of any one of these separately. It is expected that the results and ﬁnding of this study will be useful in designing future urban QoL studies in the region. Studying QoL at the city level, i.e., Addis Ababa, was not the focus in this study and such can be considered in future studies. The outcomes of these studies may help local planners in improving and having a better understanding of the quality of life conditions of the population. Consequently they can better prioritize the problems that the community face as well as the most deprived areas. 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