1 Private Health Care Provision in Developing Countries: A preliminary analysis of levels and composition Kara Hanson Peter Berman DDM Data for Decision Making Data for Decision Making Project Department of Population and International Health Harvard School of Public Health Boston, Massachusetts
2 Data for Decision Making Project i Table of Contents Introduction... 1 Section 1. Who Are Private Providers and How Do We Measure Them? Definitions Data, Sources, and Potential Biases... 4 Section 2. How Big is The Private Sector? Levels Composition: Private Sector Shares in Total Provision... 8 Section 3. What Factors Affect The Size of The Private Health Sector? Income Other Socioeconomic Variables Section 4. What Factors Affect The Public-Private Composition of The Health Sector? Income Other Variables Section 5. Are The Public and Private Sectors Complements or Substitutes? Section 6: Resource Mixes In The Public and Private Sectors Conclusions References Appendix 1: Raw Data Appendix 2: Countries Included in Analysis and Sources of Data Appendix 3: Representativeness of The Sample Used in This Analysis Appendix 4: Additional Regression Results... 34
3 Data for Decision Making Project 1 Introduction Health care policy in most developing countries has emphasized the development of government-owned health services, largely financed by government tax revenues. Over most of the period since the second world war, attention has focussed on how to plan and develop these public investments. Following the recommendations of international agencies, such as the World Health Organization, many countries have established similar systems of peripheral clinics and health workers, integrated community health centers, and a tiered system of public hospitals. As such systems became established, there was increasing attention given to how to obtain greater health impact from this service capacity. This concern gave rise to new strategies for health care resource allocation, such as the primary health care approach, the child survival and development revolution, and, most recently, the emphasis by the World Bank on the most cost-effective essential package of health services (World Bank, 1993). Complementary policies were also developed for financing and managing health care services (e.g. the introduction of user charges or the district health management approach). Throughout this period, most of the attention has focussed on how to make the public sector health care services work better. The intense scrutiny given to public sector health financing and provision strategies persisted despite a steady flow of evidence that private health care supply was significant and growing rapidly in many countries. Much of this evidence was indirect, emerging from household survey data on health care use and expenditure patterns. These data often showed that, despite public policies promoting universal access to subsidized public services, the majority of health care contacts were with private providers on a fee for service basis (see, for example, Baker and van der Gaag, 1993; Berman and Rose, 1996; World Bank, 1995). Typically, private health care was dominant for ambulatory treatment of illness, which in developing countries accounts for the largest share of total health care spending. It is usually less dominant for inpatient treatments and limited for preventive and public health services. Interestingly, private health care is often significant for rural as well as urban populations and for lower income groups as well. This indirect evidence indicates that, despite decades of public investment to assure public provision for basic services, private provision is significant and often dominant for many of these services. The impression also exists in many
4 2 Kara Hanson and Peter Berman countries that private health care is expanding rapidly. Yet this important component of the health care system has received little policy attention. A striking indicator of this lack of attention is the paucity of basic data available on private health care provision. Although the World Health Organization publishes annual figures on physicians, nurses, paramedics, hospitals, and beds for most countries of the world, there are no international figures for the public and private components of this supply. Standard definitions are lacking. There has been little or no analysis of how public policy and social and economic development affect the development of the health sector as a whole, or conversely, how the development of the less-planned and less-regulated private health care sector affects national health care systems or indeed health. This paper provides some initial data and analysis to open up this new area of enquiry. Although we are constrained by the lack of systematically collected, internationally comparable data on private provision from developing countries, with a bit of searching it has proved possible to pull together a modest data set of some international scope. It is our hope that some of the interesting findings from this preliminary effort will stimulate further enquiry. And it is our contention that the development of the private health care sector will prove to be an important factor in health care system performance in terms of cost, equity, and health impact. Section 1 of this paper proposes a practical definition of private health care provision and discusses the limitations on measurement from existing data. In Sections 2 and 3, we analyze the levels of private health care provision, that is, the absolute numbers of providers controlling for population size. Initially, we do this with descriptive statistics for regions of the developing world. This is followed by analysis of the determinants of private provision levels in term of a range of socio-economic variables available at national level. Section 4 repeats this analysis in terms of the public-private composition or shares of total health care provision. In Section 5 we address the question of whether public and private provision tend to develop as complements to each other, or in a more competitive model as substitutes. Specifically, we examine the assumption that private health care develops to occupy market niches ignored or underdeveloped by the government. The last section of the paper uses data on the ratio of beds to physicians in the public and private sector to explore systematic differences in structure between the two sectors, as would occur if private providers are widely dominant in ambulatory care but not in hospital provision.
5 Data for Decision Making Project 3 Section 1. Who Are Private Providers and How Do We Measure Them? 1.1 Definitions Who are the private providers that are considered in this analysis? Operating definitions of both private and provider are needed before presenting any description or analysis of the sector. It is conventional to define private providers as those who fall outside the direct control of government (Bennett 1992). Private ownership generally includes both for-profit and non-profit providers. For example, private ownership would include health care facilities owned by individuals who seek to earn profits, clinics and hospitals owned by private employers, and those operated by religious missions and other non-governmental organizations (NGO s). Naturally there are a number of grey areas which are inadequately described by this definition. For instance, it is not clear where health services owned by public enterprises or parastatals (such as social security institutions, national petroleum companies or airlines) should fit into such a typology. The extent to which the behavior of health services owned and operated by such organizations conforms more to a public or a private model will depend on the precise nature of their management and financing structures. For example, services provided in hospitals that are operated directly by social security funds, an organizational structure which is common in Latin America, are usually considered to be publicly-provided. In some countries, NGO s receive substantial operating subsidies from government, however who owns the provider is often considered to be the key characteristic implying behavioral differences. Thus, NGO s would typically belong to the private sector, while private wards in public hospitals are considered to be essentially public in character/behavior. What do we mean by provider? Providers may be individual practitioners, groups of practitioners, or facilities (e.g. clinics, hospitals, or other institutions). Exactly who provides health care services will depend on the particular country, but services are usually provided by doctors, paramedical health workers (e.g. clinical officers, registered medical practitioners, physiotherapists), or nurses. Although countries differ in their training requirements for specific categories of health care provider, information on training differences is not readily available.
6 4 Kara Hanson and Peter Berman Thus, in constructing this database we have accepted the categorizations used in the original data sources, and have assumed that cross-country comparisons are valid. This applies also to the definition of hospitals, which are typically defined in structural terms, such as the presence of some arbitrary number of beds (e.g. 10, 20 or 50). 1 Significant numbers of private beds may be located in non-hospital inpatient facilities such as nursing or maternity homes. Intermediate-level facilities not officially categorized as hospitals may provide inpatient services which do not appear in published data sources. National conventions regarding such definitions and their reporting do not typically appear in the published data sources, making it difficult to achieve consistency in crosscountry comparisons. Pharmacies often play an important role in national health care systems, as providers of over-the-counter and prescription drugs, and in giving medical advice. Both controlled and over-the-counter drugs are often sold in informal settings as well, such as markets and kiosks. There is, however, virtually no official data on the provision of services in these settings. Finally, a typology of health care providers should include services provided by traditional doctors or other healers. Again, information concerning the size of this sector tends to be scanty. National associations of traditional healers may exist, but their coverage of the sector is often incomplete. 1.2 Data, Sources, and Potential Biases For this analysis we have compiled available national-level data on the number of public and private health care providers. To our knowledge, this constitutes a unique source of information about the level and composition of the private health sector, and which brings together for the first time information from diverse sources into a single database. Key sources of data include Ministry of Health reports, the World Health Organization (WHO 1988), published articles in academic journals, World Bank health sector reviews, and other grey literature. A full listing of data sources by country appears in Appendix 2. Readers should note that the construction of the database is an ongoing exercise, and the authors would be pleased to receive any additional information. The paucity of available information has caused us to restrict our analysis to numbers of physicians and of hospital beds. While other types of provider may be more accessible to the majority of the population (either in financial or geographic terms), the information presently available only permits examination of these two provider types. We know little about the relationship between the numbers of these providers and those of other types, such as pharmacies, paramedical health workers, or traditional practitioners. 1/ For example, in Tunisia the key characteristic distinguishing a clinic from a hospital is the way in which the medical staff is organized. Regulations specify that a hospital must be staffed by full-time, salaried physicians. Clinics can offer most of the same services at a very high technical level, with the key difference being that physicians have no contractual relationship with the facility at all, and are paid a separate fee by the patient. At present there are no private hospitals in Tunisia, but a number of clinics have in excess of 100 beds.
7 Data for Decision Making Project 5 The sheer lack of data points has proven to be an important constraint on the analysis which could be performed using this data. The present set of results is limited to countries, varying with the dependent variable being considered. This can be compared with the collection of health expenditure data for the 1993 World Development Report (World Bank 1993) which covered 114 countries! One implication of this dearth of data is that opportunities for regional analysis are limited. However, recognizing that no other cross-sectional studies of this type have been undertaken, we feel there is much to be gained by proceeding with the available data, and presenting some preliminary findings, however tentative. In addition, where comparable figures are available in World Development Report (World Bank 1993), the database we have constructed appears to be reasonably representative of all low- and middle-income countries, lending additional credibility to our sample (see Appendix 3 for a fuller analysis). An important limitation of our private sector data is that it includes only those providers who operate officially and on a full-time basis in the private sector. This is clearly more of a problem for the physician measures than for the beds: although public hospitals may have a small number of private-like beds, we would nonetheless consider these to be publicly-provided. Failure to measure the extent of private practice by government-employed physicians is a more serious problem (Ellis and Chawla 1993). Data sources rarely reveal whether government employees are permitted to practice privately off-hours, and certainly any unofficial private practice would not be recorded. Since the extent of this practice may vary in non-systematic ways across types of health care system, this underestimate of the size of the private sector has the potential to quite seriously bias our results, both in absolute terms and relative to the size of the public sector. Another limitation of the data, arising from differences in reporting conventions and levels of disaggregation of data, lies in the potential misclassification of provider types between the public and private sectors. Often it is not clear, for instance, how facilities are classified in national statistics, and whether these classifications are consistent with those in other countries. For example, how consistently do public sector figures include facilities operated by parastatal firms? There may also be inconsistencies in the reporting of the size of the public sector. Some categories of public providers may be excluded from officially reported numbers of public facilities. These omitted providers often include facilities which provide services directly to the police. Bearing these data limitations in mind, in the next sections we present the results of the analysis that we have been able to undertake using the publicprivate provider database.
8 6 Kara Hanson and Peter Berman Section 2. How Big is The Private Sector? 2.1 Levels The key feature to note about the supply of health care providers in the countries represented in the database is the high level of variability which exists for all of the different measures. Table 1 presents the sample averages for each region and all countries combined for each of the five main measures of the number of health care providers. Figures 1 and 2 show the minimum, maximum and average figures for each region.
9 Data for Decision Making Project 7 Beginning with physicians, we see that Burundi has the lowest number of private physicians per million population, with 1.84, while Jordan has the highest number with 661 per million. The average across the sample is doctors per million population. Similar levels of variability can be seen for the total number of physicians per million population, a measure which also includes public supply. This ranges from 26.2 physicians per million in Burundi to 1126 per million in Panama, with an average across the sample of 432 per million. The available data confirm some well-known regional differences, with the numbers of both private and total physicians being much lower in Africa than in other regions. These levels can be compared with the population-weighted average of 2381 doctors per million in OECD countries (World Bank 1993). For hospital beds, the different measures of the size of the private sector also point to some regional patterns. The supply of for-profit private beds is lowest in Nepal, with 6.9 for-profit beds per million, and the highest in Argentina with beds per million (sample average 341.5). When all private beds are included (i.e. including beds in non-profit institutions), Bangladesh has the lowest number, at 42.2 per million, and Brazil the highest with 2504 (sample average 453.7). Nepal also has the smallest number of all hospital beds (235.7 per million) and Argentina the highest (4544 per million). The sample average is Regionally, sub-saharan Africa and Asia have the lowest supply of beds, whether public or private. The relatively large non-profit hospital sector in many African countries means that the gap between for-profit and all private beds is the largest of all the regions. Latin American countries in the sample are wellsupplied with hospital beds compared with the other 3 regions.
10 8 Kara Hanson and Peter Berman Table 1 Numbers of Public and Private Providers Variable Groups Mean (unweighted) Mean (weighted by population) Private Physicians All MEC Asia LAC Africa Total Physicians All MEC Asia LAC Africa For-profit Beds All MEC Asia LAC Africa Total Beds All MEC Asia LAC Africa Composition: Private Sector Shares in Total Provision We turn now to the public-private composition variables, which measure the proportions of total physicians and beds that are in the private sector. The average private sector share of total doctors across the sample is about 40%. Again, there is considerable variation, with 5% of Paraguayan doctors working in the private sector compared with 86% of Korean doctors. Costa Rica has the lowest proportion of beds in the private sector (around 2% for both measures) and Korea the highest, at 80%. Across the sample, the average private sector share of hospital beds is about 18% for for-profit beds, and 24% for all private beds.
11 Data for Decision Making Project 9 Regional differences in the private sector share of physicians are not very pronounced although, as noted above, the regional averages conceal considerable variation between countries. The weighted means show how this can affect interpretation at the regional level. For example, for Asia 44% of physicians are private (unweighted), while when weighted by population 60% are private, showing the effect of a large country such as India on these figures. There is considerably more regional variation in the private share of beds, which in the case of for-profit beds is low in Africa and the Middle East, and around 20% in Asia and Latin America. Once more, the role of NGO s in providing hospital care in the African countries in the sample can be seen by the much larger proportion of total private beds. Table 2 Public-Private Composition Measures Variable Groups Mean (unweighted) Mean (weighted by population) Proportion of total physicians that is private All MEC Asia LAC Africa Proportion of total beds that is private for-profit All MEC Asia LAC Africa Proportion of total beds that is private All MEC Asia LAC Africa
12 10 Kara Hanson and Peter Berman Section 3. What Factors Affect The Size of The Private Health Sector? This section of the paper explores the effect of different determinants on the levels of private provision, that is, estimates of absolute numbers controlling for population size. Section 4 presents similar analysis for the private share in total provision. 3.1 Income Although the relationship between income and levels and composition of health expenditure is well established in a number of cross-sectional studies (Abel- Smith 1963, 1967; Newhouse 1976; Maxwell 1981; Getzen and Poullier 1991, Murray et al. 1994, Musgrove 1996), there is little work exploring the way in which the number of public and private health care providers varies with income. Existing conceptual frameworks which describe the growth of the private sector do not lead to clear predictions about the evolution of the relative shares of the public and private sectors as income increases. This is partly because the relationship between the size of the two provision sectors is likely to depend on a host of other factors such as relative quality, institutional features, payment systems, etc. As a country s income increases, more resources are available to purchase health services of all types, including those provided in the private sector, so that we would expect to find the supply of private providers increasing with income. But will private providers increase at a higher or lower rate than the rate of increase of income? And do private providers increase at a faster rate than the supply of public providers? We have tried to answer these questions with some simple bivariate regression analysis, regressing the number of private providers on income. The results of these regressions are presented in Table 3. These show that the supply of private physicians appears to be income elastic: a 10% increase in income is associated with a 16.4% increase in the number of private physicians per million. In contrast, the same increase in income only leads to a 9% increase in the supply of public physicians. Private physicians are a luxury good, and as income increases, a greater share seems to be spent on private physicians; the share of income spent on public physicians is about constant.
13 Data for Decision Making Project 11 Similarly, they supply of for-profit beds increases at a faster rate than income, although in the case of for-profit beds, the 95% confidence interval for the income elasticity includes unity. A 10% increase in income leads to an 11% increase in the number of for-profit beds. The slower growth of non-profit beds dilutes this finding somewhat, so that total private beds increases slightly slower than income. However, public hospital beds are definitely an inferior good, and a 10% increase in income leads to only a 5% increase in public hospital beds. Here the 95% confidence limit excludes unity. The estimated relationships between the numbers of private and public providers and income is plotted in Figures 3 and 4. As can be seen clearly in Figure 3, the rate of increase of private physicians with income exceeds that of public physicians that at levels of income above around US$7,500, private physicians actually exceed public ones. Figure 4 shows the diminishing rate of growth of public hospital beds, as well as the closing gap between for-profit and total private beds at higher levels of income.
14 12 Kara Hanson and Peter Berman These results can be contrasted with findings relating income and the publicprivate composition of health spending. Murray et al. (1994) and Musgrove (1996) report cross-sectional analysis of income and public shares in total health spending, which shows an increasing public sector role in overall health care financing as income rises. This effect is largely the result of classifying social health insurance as a public sector expenditure. Our findings suggest that, while spending may become more socialized, provision becomes more privatized with income growth. This is significant, in that most developing countries devote a lot of policy attention to government roles in health care financing but little to the development of private provision in health sector planning. Table 3 Estimated Relationships Between The Supply of Private Providers and Income Dependent Variable Estimated Coefficient on ln(income) t-stat 95% Confidence Interval R2 ln(private physicians per million) ln(public physicians per million) ln(for-profit hospital beds per million) ln(total private beds per million) ln(public beds per million)
15 Data for Decision Making Project Other Socioeconomic Variables Berman and Rannan-Eliya (1993) review a number of supply and demand factors which are believed to affect the development of the private health sector. On the demand side these include health needs, prices, quality, the presence of risksharing mechanisms such as private and social insurance, and the nature of the medical referral system. The data required to model the effect of most of these influences on the supply of private providers is not available. Exceptions are summary indicators of health needs such as life expectancy and infant mortality rates. Similarly, supply-side influences such characteristics of capital and labor markets are difficult to quantify with available data. Nonetheless, some hypotheses which relate socioeconomic variables to the size of the private health sector have been explored. Table 4 shows the direction and statistical significance of the relationship between different measures of the size of the private sector and socioeconomic influences. In this table, regressions are estimated for each socioeconomic variable separately, controlling for income. 2 Table 4 Estimated Relationships Between The Size of The Private Sector and Other Socioeconomic Variables Variables Private Physicians per Million For-profit Beds per Million Total Private Beds per Million Urban +*** +*** +*** Urban population growth rate - ** +** Secondary school enrolment +** Illiteracy rate -** +*** % Pop <15 years IMR -** Life expectancy at birth +* +** Public per capita health expenditure Private per capita health expenditure Total per capita health expenditure Public share of total health expenditure Private share of total health expenditure +*** +*** +*** +* +*** +*** +* +** -*** *** p<.01 ** p<.05 * p<.10. The sign of the estimated coefficient is given. The equation being estimated is of the form: Providers = " 0 + " 1 Y + " 2 *var where Y= income and var is the individual socioeconomic variables. Each socioeconomic variable is used once with income in a single regression. Both levels and double-log functional forms were used. 2/ This procedure is followed because of the multicollinearity introduced by the correlations between income and the various socioeconomic variables, and between the socioeconomic variables themselves. When all variables are included, very few are statistically significant, and the coefficients themselves are unstable. The multivariate regression analysis and correlation tables are presented in Appendix 4.
16 14 Kara Hanson and Peter Berman The level of urbanization and secondary school enrollment both have a significant and positive effect on the number of private physicians. The rate of urban population growth is, however, negatively related to the number of private physicians. Urban areas are likely to contain a higher concentration of high income individuals, and are more densely populated, both of which would be important demand-side influences. Urban, formal sector employees are also more likely to be covered by social or private health insurance. The role of insurance in stimulating demand for private health care is an important area for further research. Where rates of urban population growth are high, it may be relatively low income people who are moving to the cities with the consequence that demand for private services may not be very high. Education is positively related to the demand for health services in general, and may increase the demand for higher (perceived) quality private health services. The positive relationship between secondary school enrollment and the number of private physicians and for-profit beds is consistent with this story. The fact that total private beds includes non-profit beds, which may be more likely to operate in poor rural areas and charge lower fees than for-profit facilities, may explain why the education effect is diluted for this measure of the size of the private sector. The health and demographic transitions are likely to have an important effect on the growth of the private health sector through the effect of changing patterns of morbidity and demand for different types of care. Overall, an increase in the adult and elderly population may lead to an increased demand for health services. If this demand is satisfied through a relatively greater use of private providers, we would expect to see larger private health sectors in countries with longer life expectancy and lower proportions of children. In this data, longer life expectancy is associated with a larger number of private physicians and of private hospital beds; so is an older population as captured by a smaller proportion of the population being under 15. A number of the health financing variables are associated with the private hospital bed variables. Generally, a higher level of health spending is associated with a larger number of private beds. An extra dollar of health expenditure seems to have a similar positive effect on the supply of private beds, regardless of whether the money comes from public or from private sources. The composition of financing also seems to be related to the total supply of private beds: other things equal, increasing the share of public expenditure is associated with an increase in private beds, while increasing the private share is associated with a decrease. Since these relationships are weak/nonexistent for for-profit beds, this finding suggests that the main influence of these financing variables is on the non-profit hospital sector.
17 Data for Decision Making Project 15 Section 4. What Factors Affect The Public- Private Composition of The Health Sector? 4.1 Income There is little consistent evidence that the private sector share of the supply of either doctors or hospital beds is systematically related to income. As Table 5 shows, the evidence is strongest for the number of private for-profit hospital beds, which is positively and significantly related to income. Although the estimated coefficient for the physicians regression is statistically significant, the overall regression is not. It seems that other factors must be more important in determining the relative size of the private provision sector. Table 5 Estimated Relationship Between The Public-Private Mix in Provision and Other Socioeconomic Variables Dependent Variable Estimated Coefficient on Income t-statistic F-test of significance of the regression (p-value) R2 Percent of total physicians in the private sector Percent of total beds in the private (for-profit) sector Percent of total beds in the private (total) sector
18 16 Kara Hanson and Peter Berman Table 6 Estimated Relationship Between The Public-Private Mix and Other Socioeconomic Variables Independent Variables Percent of Total Physicians in The Private Sector Percent of Total Beds in The Private (for-profit) Sector Percent of Total Beds in The Private (total) Sector* Secondary school enrolment +** +** +*** Adult illiteracy -** Population density +** +*** Population <15 years -* Public per capita health expenditure Private per capita health expenditure Total per capita health expenditure +*** +*** +*** +*** +*** +*** *Note: regressions are quadratic in income 4.2 Other Variables Table 6 shows the results of the analysis of the effect of different socioeconomic factors in determining the share of provision that is private. The same analysis was undertaken as in the case of the private sector level variables above. As in the case of the level analysis, the public-private mix of physicians and beds is positively related to secondary school enrolment. The total private bed measure is negatively related to the adult illiteracy rate. In countries where the average population density is higher, a greater proportion of physicians and beds is found in the private sector. There appears to be a negative relationship between the public-private mix of for-profit hospital beds and the population below 15 years. Different patterns of morbidity and treatment seeking for adult illness may explain why this relationship exists for hospital beds and not for physicians. The financing variables are positively and significantly related to the share beds in the private sector, and once more the effect on the private sector s share of total hospital beds is quite similar for a marginal dollar of public or private financing. 3 The factors which do not seem to be related to the private sector s share of health care providers are almost as interesting as those which are related. Health needs as measured by the infant mortality rate and life expectancy at birth are uncorrelated with the private sector share variables. 3/ The direction of causation in this relationship is a matter for debate. Increased spending on health is linked to higher income, hence can be treated as a demand effect which increases private provision. However, one could also plausibly argue that private provision causes a supply-side effect which, other things equal, leads to higher spending.
19 Data for Decision Making Project 17 More important is the fact that we can identify no relationship between the publicprivate composition of financing and the mix in provision. In the traditional, segmented model of health care systems, the public sector is primarily financed through public sector revenues and social insurance contributions, and the private sector receives most of its funds from private out-of-pocket and insurance sources. If this model is the one that dominates in practice, we would expect there to be a strong relationship between the private sector s share of financing and its share of provision. To the extent that we can empirically identify no such relationship, this implies that the structural sources of the breaks in the relationship need to be identified. There are a number of sources of such breaks between financing and provision. A key finding of recent household health expenditure surveys in developing countries has been the magnitude of private health spending, even in systems where the government is the dominant provider. Private funds may be being spent on official user fees for public services. Public providers may be engaged in private practice in the evenings and on weekends, or indeed, unofficially within public sector institutions so that the public sector effectively subsidizes their private practice. Institutional or regulatory linkages may lie behind the spending of public resources on private services through contracting, subsidies to non-governmental organizations, or arrangements within a social insurance system for private providers to be reimbursed for care. Thus the relationship between sources of financing and service provision may be much more complex than is suggested by the simple segmented model that is often assumed. The policy implications of such complexity are unknown, and a more careful specification of the relationships between government and the private sector is urgently needed. As noted in our introduction, the data on private provision now available do not capture these linkages.
20 18 Kara Hanson and Peter Berman Section 5. Are The Public and Private Sectors Complements or Substitutes? What are the dynamics of the relationship that underpins the observed relative shares of the public and private sectors in the health care system? One model of this relationship is one in which the public sector is the first-mover and chooses its level of investment in the health sector. The private sector then observes the level of public investment and invests to meet the residual demand, which may be a function both of the quantity of services supplied in the public sector and the quality of those services. One test of this hypothesis that can be performed with the existing data is to look at the following question: if the level of public investment is relatively high, is the private sector share of supply consequently higher or lower? If it is lower, then we can describe the public and private sectors as substitutes ; if it is also higher, then the two sectors can be thought of as complements. 4 This hypothesis has been evaluated in the education economics literature, in which is was found that the size of the private schooling sector is in part a function of the availability and perceived quality of public education (James, 1993). The empirical evidence supports the substitutes story for public and private doctors, but is inconclusive for public and private hospital beds. Two empirical tests of this model have been undertaken. In the first, the private sector share of supply is regressed against the level of public sector supply, controlling for the level of income. We find a significant and negative coefficient on public sector supply of physicians, suggesting that the public and private sectors are substitutes in the physician market. No consistent result is found for hospital beds (see Table 7). A second test, which uses the residuals from a regression of the number of public providers on income to predict the private sector share of total physicians (and beds) produces very similar results. 4/ Inverted commas are used here because the relationship is slightly different from the usual economic concepts of substitutes and complements which are typically defined in terms of demand elasticities.
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