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Article

Health Spending Patterns and COVID-19 Crisis in European Union: A Cross-Country Analysis

Faculty of Economic Sciences, Lucian Blaga University of Sibiu, 550324 Sibiu, Romania
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Author to whom correspondence should be addressed.
Systems 2022, 10(6), 238; https://doi.org/10.3390/systems10060238
Submission received: 17 October 2022 / Revised: 23 November 2022 / Accepted: 29 November 2022 / Published: 1 December 2022
(This article belongs to the Section Systems Practice in Social Science)

Abstract

:
The COVID-19 virus outbreak generated new questions about the health policy all over the world. Last several years’ evolutions proved that short-term financing solutions could help health systems to deal with shocks, but the research regarding the relationship between the ability to react to unexpected events such as pandemics and steady long-term health policies is limited. The purpose of this paper is to study if EU countries that were consistent in financing national health systems were more prepared to deal with the pandemic shock. Using Current Health Expenditures for 2000–2019, a K-means cluster analysis was conducted, and the 27 EU countries were classified into three groups: high, medium, and low health spenders, with 10, 7, and 10 countries per group, respectively. one-way ANOVA (analysis of variance with one dependent variable) was carried out to identify if there are significant differences between the three groups during the COVID-19 pandemic regarding the general level of preparedness (measured by the Global Health Security Index), impact (measured by excess mortality), and digitalisation as a key factor in implementing successful health and economic policies (measured by the Digital Economy and Society Index). The conclusion was that health systems of the countries from the high health spenders cluster performed better for all three dimensions, followed by medium and low health spenders, showing that better financing could increase the performance and the resilience to future shocks of the health systems.

1. Introduction

The COVID-19 virus outbreak generated new questions about health systems and policies all over the world. It is generally accepted that countries should spend more to increase the quality of health care services. Last several years’ evolutions proved that short-term financing solutions could help health systems to deal with shocks, but the research regarding the relationship between the ability to react to unexpected events such as pandemics and steady long-term health policies is limited. The purpose of this paper is to study if the EU countries that were consistent in financing national health systems were more prepared to deal with the pandemic shock.
Using data from the WHO Global Health Expenditure Database, this paper analyses health spending for 20 years in 27 European Union countries. Current Health Expenditure as percent of GDP and Current Health Expenditure per capita in USD were selected as key measures for how much each EU country did spend on health between 2000 and 2019. The scope of this paper is to identify homogeneous groups of countries based on their health spending patterns and to determine if there are significantly different reactions to COVID-19 between the identified groups. The research findings could serve as an argument for the possible positive outcomes of EUR 5.3 billion investments through the EU4Health programme 2021–2027 and support the idea of a common health policy as an instrument for crisis preparedness in the EU.
The rest of this paper is organised as follows: the current state of the research on the topic is reviewed in the Introduction, followed by the second part of this paper, which is about research methodology. The research was developed in two distinctive stages: (1) a K-means cluster analysis was conducted to identify the main groups of EU countries based on their long-term health spending pattern; (2) a one-way ANOVA was used to examine the relationship between health spending patterns and the impact of the COVID-19 crisis. Empirical results are presented in the third part, followed by a final section highlighting the main conclusions of the research.
The wide literature on health systems covers different aspects, such as the following: the efficiency of health care systems in different countries or groups of countries, public and private health spending, and the resilience of health systems to shocks, including the financial crisis and the COVID-19 pandemic. Most of these studies make use of OECD or WHO health data and econometric approaches: data envelopment analysis (DEA), cluster analysis, or correlation and regression analysis.
Generally, the literature on public spending in health care focuses on cross-country efficiency analysis; that is, it is based on the inputs (resources) and outputs (outcomes) of very different aspects of the health care system and usually uses the same method (DEA). For example, Afonso and Aubyn [1] evaluated sector efficiency in 24 OECD countries, comparing several resources (doctors, nurses, hospital beds) to outputs (life expectancy, infant survival rate). Joumard et al. [2] focused on health care outcomes (increase in the quality and length of life; equity in access or health status), rather than on outputs, and considered that measured efficiency is influenced by the institutional framework (the allocation of resources between in- and out-patient care, the payment schemes, and the possible existence of incentives for providers). Dutu and Sicari [3] applied DEA (with a two inputs–one output structure and at least one of the variables representing a composite indicator controlling for country-specific factors) to assess the efficiency of welfare spending in OECD countries in 2012, focusing on health care, secondary education, and general public services. They found wide dispersion in efficiency measures across OECD countries and provided quantified improvements for output and input efficiency. In a second paper, the same authors [4] calculated the efficiency scores for health care using life expectancy at birth as a proxy of the health system outcomes and total per capita expenditure on health care as an input variable and the results show significant potential efficiency gains on both output and input sides. Using the same method (DEA), Behr and Theune [5] investigated the efficiencies of the health care systems from 34 OECD countries in 2012 by seeing the effects of different indicators: medical inputs on surgery provision and mortality prevention lifestyle; and income and health expenditure per capita and relative to GDP on life expectancy from birth. They observed strong variations in efficiency across the five analyses: some countries are efficient at producing a particular health care output but very inefficient at producing other outputs.
An empirical characterisation of 29 OECD health care systems for 2007 using cluster analysis identified six groups of countries sharing similar institutions [2]: 1—Germany, the Netherlands, the Slovak Republic, and Switzerland; 2—Australia, Belgium, Canada, and France; 3—Austria, the Czech Republic, Greece, Japan, Korea and Luxembourg; 4—Iceland, Sweden, and Turkey; 5—Denmark, Finland, Mexico, Portugal, and Spain; 6—Hungary, Ireland, Italy, New Zealand, Norway, Poland, and the United Kingdom. In the European Union, Medeiros and Schwierz [6] found evidence about widespread inefficiency in the health care systems. Countries were clustered using efficiency scores for 2012 calculated on 20 DEA-based models and the results show that the Czech Republic, Lithuania, and Slovakia have the lowest efficiency scores in most of the models used; Hungary, Latvia, Poland, and Estonia, although scoring better than the previous group, are also underperformers; Belgium, Cyprus, Spain, France, Luxembourg, Sweden, and the Netherlands consistently score among the top seven performers in most of the models and are clustered in the group of countries with the highest efficiency scores. A two-step cluster analysis based on medical services expenditure in the EU for the period 2004–2015, with a special focus on Poland, Latvia, Lithuania, and Estonia, was conducted by Walczak et al. [7]. The analysis for 2004 does not indicate the existence of significantly different groups but for 2015 shows that four clusters were the best solution.
Public and private health spending comparisons are carried out for a longer time and by groups of countries. For example, the Global Health Expenditure Report [8] provides a broad picture of global patterns of health spending over the past 20 years for WHO members. The most recent report (2021) also gives some early findings about COVID-19 for 16 countries showing that current health spending in 2020 was between USD 12–602 per capita in high-income countries and between USD 3.20–22 per capita in low- and middle-income countries. For the period 1995–2013, Grigorakis et al. [9] examined the impact of macroeconomic and public and private health insurance financing factors on out-of-pocket health care expenditures, by using fixed/random effects and dynamic panel data methodology with a dataset of 26 EU and OECD countries. Balkan and Eastern European countries were analysed in the paper of Stepovic et al. [10] by comparing different macroeconomic and health expenditure indicators in the period 1995–2014 (total health expenditure as percentage of GDP, GDP per capita in USD, and private households’ out-of-pocket payments on health as a percentage of total health expenditure) using a linear trend model. They found that most of the countries showed a significant correlation between the observed indicators. For a small set of countries (six EU member states), over the past 50 years, Albulescu [11] compared public and private health expenditure per capita and as a percentage of GDP using bound unit root tests. The results highlight the heterogeneity of the EU health care systems and the need for common solutions to enhance their convergence process. A retrospective analysis of the Romanian health care system in the 1985–2019 period is presented in the paper of Onofrei et al. [12], which computed a sustainability index for public health and the causal relationship between health expenditure and GDP in Romania. The findings show the intergenerational costs of policy incoherence and regulatory fragmentation.
There are also studies that looked at the reaction of health systems in times of crisis. A WHO policy summary [13] presented in 2012 the results of a survey of health policy responses to the financial crisis in the European region, which were very different between health systems and dependent on the extent to which countries experienced a significant economic downturn. Using cross-country fixed-effects multiple regression analysis, the authors [14] estimated how government health care expenditure growth in Europe has changed following economic crises. They found that, in the year after an economic downturn, public health care expenditure grows more slowly than would have been expected and cost-shifting policy responses are associated with these slowdowns. An OECD study [15] summarised in 2014 the main findings in the published literature on the effects of the economic crisis and described different health policy reforms. For 34 OECD countries, Morgan and Astolfi [16] observed in 2015 that, since the global financial crisis, health spending has slowed or fallen differently in many countries after years of continuous growth. The resilience of health financing policy to economic shocks (the global financial crisis and the COVID-19 pandemic) was analysed in the paper of Thomson et al. [17]. They observed that responses to the pandemic show evidence of lessons learnt from the 2008 crisis but also reveal weaknesses in health financing policies in Europe that limit national preparedness to face economic shocks, particularly in countries with social health insurance schemes.
Regarding the pandemic period, many works evaluate primarily the responses of health systems to the COVID-19 outbreak. Some results of these studies are as follows:
  • By analysing the financial dimension of the EU public health systems during 2010–2018 (total health expenditure to GDP and expenditure per capita) and the connection with pandemic management, Cibik et al. [18] found that below-average health expenditure per capita of the EU countries indicates a better management of the pandemic (measured by number of deaths and mortality per 1000 infected) but not higher amounts allocated to health care;
  • To show the countries‘ readiness for the prevention and diminution of pandemics, Radenovic et al. [19] examined the interdependence between health expenditures and the efficiency of health systems in the EU countries using the Global Health Security Index as the overall measure and its main categories—prevention, detection, and rapid response. The correlation results demonstrated significant correlation between health expenditures, either as percent of GDP or per capita, and the GHS index, prevention, and health system. The results of the regression analysis revealed the positive impact of health expenditures on the efficiency measures;
  • To evaluate the efficiency of 31 European countries‘ health systems in treating COVID-19, for the period January 2020–January 2021, Lupu and Tiganasu [20] used health inputs—COVID-19 cases, physicians, nurses, hospital beds, and health expenditure—and used COVID-19 deaths as an output, and the conclusion was that the inefficiency of the health systems was quite high, even in the Western countries (Italy, Belgium, Spain, UK);
  • To analyse the determinants of the measures to limit the spread of COVID-19, Bourdin et al. [21] used the COVID-19 stringency index and patient capacity in intensive care units as indicators of the capacity of countries to have an appropriate health system to absorb the pandemic crisis;
  • By studying the health system responses to COVID-19 in Bulgaria, Croatia, and Romania from February 2020 until the end of 2020 based on Health System Response Monitor (HSRM) data, Dzakula et al. [22] identified common problems (workforce shortages, underdeveloped and underutilised preventive and primary care) and some challenges (qualified health workers, digital tools for non-COVID-19 health services, communication to the public and levels of public trust);
  • By reviewing the health system responses in six Mediterranean countries (Cyprus, Greece, Israel, Italy, Malta, Portugal, and Spain) during the first six months of the COVID-19 pandemic, Waitzberg et al. [23] observed that, prior to the pandemic, these countries shared similarities in terms of health system resources, which were low compared to the EU/OECD average;
  • For three EU countries—Germany, Sweden, and Greece—Tsalampouni [24] found some common responses to the COVID-19 pandemic (universal coverage providing for free COVID-19 treatment, testing, and vaccination) and highlighted the need to strengthen the EU’s role in coordinating health care;
  • By analysing the vulnerabilities affecting the health budget effort in the EU member states during the health crisis period, Antohi et al. [25] noticed that the change in the financial allocation paradigm from conservative to proactive had beneficial effects over the period 2009–2018;
  • The experience of some countries (China, Germany, Iceland, Republic of Korea, Rwanda, Uruguay, and Vietnam) that performed relatively well in coping with the COVID-19 crisis was presented by Islam et al. [26]. The authors suggested that it is necessary to establish universal health care and social protection systems and to improve the governance of these systems even by developing countries;
  • The impact of COVID-19 in Asia and the Pacific was summarised by Kwon and Kim [27], who considered that as countries having pandemic preparedness in their resilient health systems were able to better deal with the pandemic and to provide access to essential services, investment into strengthening health systems is a fundamental solution for pandemic preparedness and response.
Summing up, we observe a variety of input and output measures of health system efficiency, various patterns of health spending, and very different health systems’ responses to the financial crisis and the pandemic, in previous studies focusing on different sets of countries and time periods.
A number of questions regarding health policy and the efficiency and resilience of health systems remain to be addressed. Although many cross-country analyses were previously conducted, there are not so many centred on the European Union. Such a study could be valuable considering that typically health policies are national and, building on the COVID-19 experience, the EU tries to prove that a common approach and a relevant budget could produce synergic effects across member states.
One significant challenge during COVID-19 was the lack of data about specific health dimensions, necessary to monitor, evaluate, and implement different policies. In less than two years, through cooperation among international institutions, national authorities, scientific communities, and think-thanks, many tools were developed to respond to this need. Databases, complex indicators, and channels for the short-term collection of data emerged. Our paper values these achievements using newly developed indicators (the GHS Index and excess mortality caused by COVID-19) and considering digitalisation (measured by DESI) as a key success factor for the reaction of the health systems to shocks and the implementation of successful health policies. Moreover, the short-term reaction to COVID-19 was analysed in the context of the long-term patterns identified by using data for 20 years, providing some new understandings about the health spending patterns in EU countries.

2. Research Methodology

The aim of the study is to analyse the relationship between the long-term health spending patterns of the EU countries and their ability to react effectively to crises and shocks such as COVID-19. The European Union is a heterogeneous group of countries and there are important differences between member states regarding the health systems and policies. To study long-term health spending behaviour, we selected two indicators from the WHO Global Health Expenditure Database: Average Current Health Expenditure as % of GDP and Current Health Expenditure per capita in USD for 2000–2019. The timeframe was established based on data availability, and the national values for current member states were used. To study the reaction to shocks, in particular to the COVID-19 crisis, we used indicators from the Eurostat database (excess mortality and DESI) and the Global Health Security Index, developed by an international group of experts at the end of 2019 [28].
The premise of the study is that countries with a history of strong and well-financed health systems are able to cope better with shocks. Studying the similarities and differences among EU countries and grouping them based on their health spendings is the first step in our approach. For that, we performed a K-means cluster analysis in SPSS Statistics.
The second step is to identify relevant ways to measure the reaction to COVID-19 and to use them to analyse the differences between the identified clusters. Based on the literature and recent developments in the field, we identified three relevant dimensions for our hypothesis: the impact of COVID-19; general level of preparedness; and digitalisation as a success factor for the implementation of short-term measures and key health policies. For each dimension we selected one indicator: Global Health Security Index for the assessment of the ability to provide health security in time of crisis, as a general measure for readiness of the systems; excess mortality caused by COVID-19, a measure developed by Eurostat, for the impact of COVID-19; Digital Economy and Society Index as a proxy for the ability to timely implement different health policies, relevant for both the reaction during COVID-19 and for the future health policy of the European Union.
The methodology section is organised as follows: first, we present the methodological aspects related to the K-means cluster analysis; second, the methodology of the one-way ANOVA in SPSS Statistics is detailed.

2.1. Cluster Analysis

The first dimension that emerges from the research question is to understand the long-term patterns of health expenditures inside the European Union. Based on previous studies [2,6,7], cluster analysis was identified as the appropriate methodological approach.
Using data from the WHO Global Health Expenditure Database [29], we calculated average Current Health Expenditure as percent of GDP (CHE_gdp) and average Current Health Expenditure per capita in USD (CHE_pc_usd) for 20 years (2000–2019) to group EU-27 countries based on their health spending behaviour (Table 1).
Health care spending has continued to increase in EU countries over the past 20 years. In 2019, prior to the COVID-19 pandemic, EU countries spent, on average, around 8.25% of their GDP on health care, compared to 6.90% in 2000. The cross-country variation is wide, ranging in 2019 from less than 6% in Luxembourg and Romania to more than 10% of GDP in Austria, Belgium, Germany, and France. Furthermore, Germany spent by far the most on health care, equivalent to 11.7% of its GDP in 2019 and 12.5% in 2020. Average per capita in health care spending raised from 1124.35 USD/year in 2000 to 3007.60 USD/year in 2019.
According to Table 1, the average CHE_gdp in the EU-27 for the period 2000–2019 was 7.92% of GDP, while the lowest average value of 5.09% was recorded in Romania and the highest average value of 10.77% in France. The average CHE_pc_usd in the EU-27 for the period 2000–2019 was 3007 USD, with the lowest average value of 385.46 USD in Romania and the highest value of 5813.21 USD in Luxembourg.
Then, we performed a cluster analysis using the K-means cluster procedure in SPSS Statistics to assign the countries to a fixed number of groups whose characteristics are not known but are based on a set of specified variables—average Current Health Expenditure as percent of GDP (CHE_gdp_av) and average Current Health Expenditure per capita in USD (CHE_pc_usd_av).
We determined the number of clusters to be 3 to comply with the condition to use the minimum number of clusters relevant for the set of data (Table 2). We made simulations with 4 and 5 clusters, but the best results were obtained for 3 groups of countries, and the initial cluster centres are evaluated based on the data.
Convergence was achieved due to no or small change in cluster centres. The maximum absolute coordinate change for any centre is 0.000. The current iteration is 4. The minimum distance between initial centres is 2371.418.
The final cluster centres are given in Table 3.
The results presented in Table 3 show that we have 3 groups:
  • Cluster 1, high health spenders, includes 10 countries—Austria, Belgium, Denmark, Finland, France, Germany, Ireland, Luxembourg, the Netherlands, and Sweden. In the analysed period (2000–2019), these countries spent 4480.95 USD/capita, representing about 9% of their GDP.
  • Cluster 2, medium health spenders, includes 7 countries—Cyprus, Greece, Italy, Malta, Portugal, Slovenia, and Spain. In the analysed period (2000–2019), these countries spent 1976.76 USD/capita, representing about 8% of their GDP.
  • Cluster 3, low health spenders, includes 10 countries—Bulgaria, Croatia, the Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Romania, and Slovakia. In the analysed period (2000–2019), these countries spent 765.08 USD/capita, representing about 6% of their GDP.

2.2. One-Way ANOVA Analysis

The second step in our research is to study the capacities of the EU countries to react to important health shocks such as COVID-19 in the context of previously identified clusters. A one-way ANOVA was carried out to identify if there are significant differences between the three groups during the COVID-19 pandemic regarding the general level of preparedness (measured by Global Health Security Index), the impact (measured by excess mortality), and the digitalisation as a key factor in implementing successful health and economic policies (measured by the Digital Economy and Society Index).
We selected three indicators to evaluate the impact of the COVID-19 pandemic: the Global Health Security Index (GHS Index), excess mortality and the Digital Economy and Society Index (DESI).
The Global Health Security Index is the first comprehensive assessment and benchmarking of health security and related capabilities across 195 countries, launched in October 2019 followed by the second publication in December 2021. It was developed in partnership by the Nuclear Threat Initiative (NTI) with the Johns Hopkins Center for Health Security at the Bloomberg School of Public Health, working with Economist Impact. We selected the GHS Index because it is organised by six categories aimed at assessing country capability to prevent, detect, and respond to biological threats as well as factors that can improve that capability to address infectious disease outbreaks that can lead to international epidemics and pandemics [28]. For the GHS Index, the average value in the EU countries was 56.7 in 2019 and 57.03 in 2021. The minimum was recorded in Malta (37.30 in 2019 and 40.2 in 2021) and the maximum of 75.6 in the Netherlands in 2019 and of 70.9 in Finland in 2021.
According to Eurostat [30], “the monthly excess mortality indicator is based on the exceptional data collection on weekly deaths that Eurostat set up, in April 2020, to support the policy and research efforts related to COVID-19. With that data collection, Eurostat’s target was to quickly provide statistics assessing the changing situation of the total number of deaths on a weekly basis, from early 2020 onwards”. “The number of deaths from all causes is compared with the expected number of deaths during a certain period in the past. The reasons for an excess mortality may vary according to different phenomena. The indicator is simply comparing the total number of deaths from all causes with the expected number of deaths during a certain period in the past (baseline).” Excess mortality was selected as a relevant short-term measure of the impact of COVID-19 in the EU countries, providing information about the additional death amongst the European countries during the pandemic. The annual average for each country was determined, based on the monthly data for 2021 available in the Eurostat database. The European Union experienced a 14.13% excess mortality in 2021, compared to historical monthly data for each country.
The Digital Economy and Society Index (DESI) is a composite index that summarises relevant indicators on Europe’s digital performance and tracks the evolution of EU countries, across five main dimensions: Connectivity, Human Capital, Use of Internet, Integration of Digital Technology, and Digital Public Services [31]. During the pandemic, digitalisation proved to be one of the most important success factors involved in fighting the disease, and a condition for the successful implementation of various responses to the health crisis (communication with patients, apps, diagnosis, contactless health support). DESI is currently the most comprehensive way to measure the digitalisation in EU countries, being a signal of potential gaps influencing the way of dealing with pandemics and a premise for future health policies.
This study uses data from the GHS Index 2019, Eurostat—for excess mortality 2021 and European Commission—for DESI 2019 (Table 4).
We want to determine if countries that spent more on health during the past 20 years were more prepared and had better reactions to the COVID-19 crisis. We considered three dimensions (preparedness, impact and digitalisation) measured by the three indicators above as relevant for the performance of the health systems. A one-way analysis of variance (ANOVA) in SPSS was used to determine if there are any statistically significant differences between the means of the three independent groups identified through cluster analysis: high health spenders (Cluster 1, 10 EU countries), medium health spenders (Cluster 2, 7 EU countries), and low health spenders (Cluster 3, 10 EU countries).
To run the one-way ANOVA, we used the approach available on Laerd Statistics [32].
Table 5 provides an overview of the study design. One purpose of this paper is to investigate the differences in GHS Index, excess mortality, and DESI between EU countries. The chosen methodology aims to answer the question of whether there are any differences between the three types of countries (high, medium, and low health spenders).
Following the K-means cluster analysis that used Current Health Expenditure as percent of GDP (CHE_gdp) and Current Health Expenditure per capita in USD (CHE_pc_usd), the current 27 EU member states were classified into three groups: high health spenders (n = 10, CHE_pc_usd = 4480.95 USD, CHE_gdp = 9%), medium health spenders (n = 7, CHE_pc_usd = 1976.76 USD, CHE_gdp = 8%) and low health spenders (n = 10, CHE_pc_usd = 765.08 USD, CHE_gdp = 6%).
A one-way ANOVA analysis for each dimension was conducted then to determine the following:
  • If the preparedness and strength of the health systems (GHS Index) were different for countries with different health spending patterns.
  • If the impact of COVID-19 (excess mortality) was different for countries with different health spending patterns.
  • If the digitalisation (DESI), as one core aspect of the health system performance during the pandemic, was different for countries from the three clusters.
Six assumptions of the one-way ANOVA were considered for each dimension:
#1
The dependent variable is measured at the continuous level:
  • GHS Index—yes
  • Excess mortality—yes
  • DESI—yes
#2
There is one independent variable, type of country, that consists of three independent groups: high, medium, and low health spenders.
#3
Independence of observation is met: there is no relationship between countries from any of the groups.
#4
No significant outliers.
#5
Dependent variables are normally distributed.
#6
There is homogeneity of variances.
Assumptions 4 to 6 were tested using SPSS Statistics.
#4
No significant outliers
For GHS Index, two outliers were identified in the low health spenders group (Figure 1): Bulgaria (score 61.4, O3 in the Figure 1) and Romania (score 45.5, O23 in the Figure 1). For excess mortality (Figure 2) and DESI (Figure 3) there were no outliers in the data, as assessed by an inspection of the boxplots. We decided to keep the outliers because the effect on the analysis was not considered significant.
#5
Dependent variables are normally distributed
According to Table 6 and Table 7, GHS index and DESI were normally distributed for high, medium, and low health spenders, as assessed by a Shapiro–Wilk’s test (p > 0.05). Excess mortality for medium and low health spenders was not normally distributed but one-way ANOVA was still considered robust [33].
Data are presented as mean ± standard deviation.
The preparedness for pandemic crisis (GHS index) increased from the medium (n = 7, 53.1 ± 10.3), to low (n = 10, 54.3 ± 4.5), to high (n = 10, 62.5 ± 7.0) health spenders, in that order. The impact of the pandemic crisis (excess mortality) increased from the high (n = 10, 7.9 ± 3.8), to medium (n = 7, 14.2 ± 4.1), to low (n = 10, 26.9 ± 8.4) health spenders. The degree of digitalisation (DESI) increased from the low (n = 10, 38.9 ± 7.4), to medium (n = 7, 42.5 ± 7.7), to high (n = 10, 51.2 ± 5.7) health spenders, in that order.
#6
There is homogeneity of variances
There was homogeneity of variances, as assessed by Levene’s test for equality of variances for the GHS Index (p = 0.074) and for DESI (p = 0.709). However, the assumption of homogeneity of variances was violated, as assessed by Levene’s test for equality of variances (p = 0.018), for excess mortality (Appendix A.1).
For two of the three variables (GHS Index and DESI) we have homogeneity of variances. We ran a one-way ANOVA. In both cases, we found statistically significant differences between high, medium, and low health spenders: GHS Index—F(2,24) = 4.512, p = 0.022 < 0.05; DESI—F(2,24) = 25.796, p = 0.000 < 0.05 (Table 8). For these variables, the results from the Tuckey post hoc test are relevant (Appendix A.2).
For excess mortality, the assumption of homogeneity of variances was not met and the results of the Games–Howell post hoc test are relevant (Appendix A.2). Because of that, a modified version of the ANOVA is used, Welch’s ANOVA, and the results of the Welch’s ANOVA are found in the Robust Tests of Equality of Means table (Table 9). The excess mortality value was statistically significantly different for high, medium, and low health spenders, Welch’s F(2, 14.543) = 21.583, p < 0.0005. Because the Welch’s ANOVA is statistically significant, a post hoc test Games-Howell is considered: there was an increase in excess mortality from 7.9 ± 3.8 for high health spenders to 14.2 ± 4.1 for medium health spenders and to 26.9 ± 8.4 for low health spenders. There was an increase of 19.00 (95%CI, 11.3 to 26.7) from low health spenders to high health spenders, which was statistically significant (p < 0.001).
An effect size for one-way ANOVA was calculated using omega squared (ω2). Partial eta squared for GHS Index was 0.273, for excess mortality 0.683 and for DESI 0.411 (Appendix A.3).

3. Results

The main findings of our study can be summarised as follows.
The cluster analysis revealed that based on their long-term health spending patterns, the current 27 EU member states could be grouped into three clusters, with three different spending patterns: high health spenders—countries that spent on average 4480.95 USD/capita/year, 9% of GDP, in the analysed 20 years before the pandemic, registering both the highest amount per capita and the highest percentage of GDP allocated to their health system; medium health spenders—countries that spent 1976.76 USD/capita/year, 8% of GDP, medium values for both indicators, with a special remark on the absolute value of health spending per capita that was less than a half compared with the first group; low health spenders—countries that spent on average 765.08 USD/capita/year, 6% of GDP, registering both the lowest per capita value (five times less than the first group) and the lowest percentage of GDP allocated to health.
As we concluded based on one-way ANOVA analysis, there are statistically significant differences between the three groups regarding GHS Index 2019 (health system preparedness), excess mortality 2021 (COVID-19 impact), and DESI 2019 (digital preparedness).
The three groups considered for one-way ANOVA were: high health spenders (n = 10), medium health spenders (n = 7), and low health spenders (n = 10). A one-way ANOVA analysis for each dimension was conducted to determine the following:
  • If the preparedness and strength of the health systems (GHS Index 2019) was different for countries with different health spending patterns. There were no outliers, as assessed by boxplots, excepting Romania and Bulgaria, in the low health spenders group. Data were normally distributed for each group, as assessed by a Shapiro–Wilk test (p > 0.05); there was homogeneity of variances, as assessed by a Levene’s test of homogeneity of variances (p = 0.074 for GHS Index). Data are presented as mean ± standard deviation. The GHS score was statistically significantly different between different groups, F(2, 24) = 4.512, p < 0.0005, ω2 = 0.273. The GHS score decreased from the high spenders group (62.47 ± 6.99) to the low (54.33 ± 4.55) and medium groups (53.11 ± 10.32). Tukey post hoc analysis revealed that the decrease from the high group to the medium group (9.36, 95% CI (0.42 to 18.30)) was statistically significant (p = 0.039), as well as the decrease from the high group to the low group (8.14, 95% CI (0.03 to 16.25), p = 0.049).
  • If the impact of COVID-19 (excess mortality 2021) was different for countries with different health spending patterns. There were no outliers, as assessed by boxplots. Data were normally distributed only for high spenders as assessed by a Shapiro–Wilk test (p > 0.05); there was heterogeneity of variances, as assessed by a Levene’s test of homogeneity of variances (p = 0.018 for excess mortality). Data are presented as mean ± standard deviation. Excess mortality percentage was statistically significantly different between different groups, F(2, 24) = 25.796, p < 0.0005, ω2 = 0.683. Excess mortality increased from the high spender’s group (7.97 ± 3.79) to the medium (14.17 ± 4.06) and low groups (26.87 ± 8.41). Tukey post hoc analysis revealed that the decreases from the high group to the low group (19.0, 95% CI (12.30 to 25.70), p = 0.000) as well as from the medium to the low group (12.70, 95% CI (5.31 to 20.08), p = 0.001) were statistically significant.
  • If digitalisation (DESI 2019), as one core aspect of the health system performance during the pandemic and a condition for future health policies, was different for countries from the three clusters. There were no outliers, as assessed by boxplots. Data were normally distributed for each group, as assessed by a Shapiro–Wilk test (p > 0.05); there was homogeneity of variances, as assessed by a Levene’s test of homogeneity of variances (p = 0.71 for digitalisation). Data are presented as mean ± standard deviation. The digitalisation score was statistically significantly different between different groups, F(2, 24) = 8.376, p < 0.0005, ω2 = 0.411. The digitalisation score decreased from the high spenders group (51.24 ± 5.66) to the medium (42.47 ± 7.69) and low groups (38.96 ± 7.37). Tukey post hoc analysis revealed that the decrease from the high group to the medium group (8.77, 95% CI (0.32 to 17.23)) was statistically significant (p = 0.041), as well as the decrease from the high group to the low group (12.29, 95% CI (4.61 to 19.96), p = 0.001). Tukey post hoc analysis also showed a decrease from the medium group to the low group (3.52, 95% CI (4.9 to 11.94)), but it was not statistically significant (p = 0.560).
Although the two-step analysis performed using K-means cluster and one-way ANOVA in SPSS Statistics provided interesting results and good answers to the research questions, we should include some points to discuss. It was an atypical situation for the GHS Index, where the order between the high, medium, and low spenders was not maintained, with low spenders registering a small advance compared to the medium group. Nevertheless, Tukey post hoc analysis for GHS Index revealed that the decrease from medium to low (1.22, 95% CI (7.72 to 10.16)) was not statistically significant (p = 0.939). Moreover, there were two situations where the results of Tukey post hoc analysis were not statistically significant: for excess mortality, the increase from the high group to the medium group (6.30, 95% CI (1.08 to 13.68)) was not statistically significant (p = 0.105); for digitalisation, the decrease from the medium group to the low group (3.52, 95% CI (4.94 to 11.97)) was not statistically significant (p = 0.560).
The analysis identified three statistically significant clusters in the EU, considering the average health spending between 2000 and 2019 (absolute annual per capita value and percent of GDP). The results are in line but not identical to previous studies. For example, Medeiros and Schwierz [6] studied the efficiency of the health systems and, according to their results, Bulgaria, Spain, and Cyprus should be included in the high performer cluster, but according to our results, Bulgaria is included together with another nine countries in the low-spending group and Spain and Cyprus are included in Cluster 2, together with the medium health spenders. In addition, it should be mentioned that our results provided a more balanced number of countries per cluster (10-7-10) compared to similar studies, which could be a plus, particularly in designing tools for health policies at the EU level. As an example, Walczak et al. [7] studied 30 countries, and their results for the classification into three clusters include only two countries in Cluster 1, four countries in Cluster 2, and 24 countries in Cluster 3. The differences between our results and previous studies could be explained by the variables considered and by the fact that we used the average values for 20 years instead of a single year.
Regarding the one-way ANOVA analysis, our results statistically prove the idea that the group of countries with long-term high spending patterns (4480.95 USD/capita/year, 9% of GDP) was more prepared to deal with the pandemic shock for all three dimensions considered in the study (GHS Index—15% higher, excess mortality—70% lower, and DESI values—31% higher compared to the low-spending countries). Our hypothesis that countries with a history of strong and well-financed health systems are able to cope better with shocks was confirmed and the results are in line with the literature. Nevertheless, several contributions to the existing literature in this part of the study could be emphasised: the focus on the current EU countries, which will soon start to implement and apply common health policy, could provide an useful insight for future decisions; though there are studies about the relationship between health spending and the performance of the health systems, those are often geographically limited (fewer countries), and they are not focused on the behaviour during a health crisis; we considered a different set of indicators, using recently developed indicators such as GHS and excess mortality; we covered the long-term in our attempt to identify patterns (most studies group countries/rely on a single year).

4. Discussion

Some discussions regarding the selected indicators could contribute to a better understanding of the results. For cluster analysis, we used WHO data, available for 20 years, and there were some decisions to make. The selection of variables for cluster analysis involved several statistical tests that included some other indicators such as out-of-pocket (OOPS) as percent of Current Health Expenditure (CHE), domestic general government health expenditure (GGHE-D) as percent of GDP, etc. The most relevant for our research objective to group the EU countries in homogeneous clusters (minimum outliers, cluster centres, number of iterations necessary to stabilise the results) proved to be Current Health Expenditure as percent of GDP and Current Health Expenditure per capita in USD. Regarding the year, we used average values for the period studied, considering that one of our research objectives was to connect long-term behaviour with short-term impact and reaction. For one-way ANOVA analysis, the selection of the indicators was the result of the effort to match the research questions and objectives with data availability and the literature review, during the research design process. While GHS Index was selected because of the novelty and specificity, considering that the indicator was developed particularly to evaluate the preparedness of the countries to react to a health crisis, for impact of COVID-19 and for the digitalisation, the choice of excess mortality and DESI was influenced more by a qualitative evaluation of the recently developed studies and data availability.
As we already mentioned, a few limitations of our study should be considered for policy implications and future research. Data availability induced some limitations, influencing both indicator selection and the years analysed. For future research, the use of the post-COVID information (values for 2021–2022) could bring some new insights and increase the relevance of the results. Moreover, a dynamic research field has already emerged from the need to measure the impact of the pandemic and from the general commitment to use the COVID-19 experience to design stronger health systems. As much as new tools are developed, the study could be extended and improved. However, although the results of this study are relevant for the EU, because of the regional specificity and the level of integration, analysis should be carried out with a different panel selection if the aim is to extrapolate the results.
To conclude the discussions, the results of the classification of EU countries into three groups based on their 20-year average spending on health, and the analysis of variance between groups for three dimensions (preparedness and strength of the health systems, impact of COVID-19, and digitalisation) using SPSS Statistics are interesting and could be considered for future research and in designing and implementing health policies.

5. Conclusions

The purpose of this paper was to study if the European Union countries that were consistent in financing national health systems were more prepared to deal with the pandemic shock. The main achievements, including contributions to the literature, can be summarised as follows: grouping the EU countries into three relevant clusters based on their long-term health spending behaviour; proving that long-term health spending patterns influence the ability of countries to deal with crises. These conclusions could be used for future research on health systems: the groups of countries identified through K-means clustering proved to be relevant for differences and similarities between EU countries for several dimensions; this paper uses newly developed indicators such as the GHS index and excess mortality, opening a path for future research in the field.
The focus of the study was the European Union, but the research could be extended to other countries. Data from the WHO Global Health Expenditure Database include information for more than 190 countries and the GHS index is available for 195 countries. Moreover, in the years to come, at least at the EU level, we can expect newly developed indicators on health digitalisation that could be a step forward in the study of the relationship between health system performance and the level of digitalisation.
Looking at the values of the indicators in each group (Cluster 1—Austria, Belgium, Denmark, Finland, France, Germany, Ireland, Luxembourg, the Netherlands, and Sweden; Cluster 2—Cyprus, Greece, Italy, Malta, Portugal, Slovenia, and Spain; Cluster 3—Bulgaria, Croatia, the Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Romania, and Slovakia), the EU health policy could aim to reach a better convergence in order to build the European Health Union (Table 10).
The excess mortality indicator developed by Eurostat to estimate the impact of the COVID-19 pandemic provided the best evidence for the importance of long-term commitments in building strong health systems and policies. The GHS index proved to be relevant for our hypothesis that high health spenders are more prepared to deal with crises, though the differences between the other two groups were not so high. Our study shows that countries from the third cluster (low health spenders) suffered the worst impact, with an excess mortality almost 27% higher compared to the pre-pandemic values. The impact on the other clusters was much lower, but still was twice higher for medium health spenders (14.17%) compared to high health spenders (7.87%). The ability of countries to effectively react to challenges and crises in those days is significantly related to digitalisation. Our results indicate that countries with a higher level of digitalisation performed better during the COVID-19 years. Even though there are no data available about health digitalisation and we used DESI as a proxy, the results are a signal of the potential benefits of investing in health digitalisation, an assumed objective of the EU4Health programme 2021–2027.
The general conclusion of the research is that the health systems of the countries from the high health spenders cluster performed better for all three studied dimensions, followed by medium and low health spenders, showing that better financing could increase the performance and the resilience to future shocks of the health systems.

Author Contributions

Conceptualisation, S.M. and R.O.; methodology, S.M. and R.O.; software, S.M.; validation, S.M. and R.O.; formal analysis, S.M.; investigation, S.M. and R.O.; resources, S.M. and R.O.; data curation, S.M.; writing—original draft preparation, S.M. and R.O.; writing—review and editing, S.M. and R.O.; visualisation, S.M. and R.O.; supervision, S.M.; project administration, S.M.; funding acquisition, S.M. All authors have read and agreed to the published version of the manuscript.

Funding

Project financed by Lucian Blaga University of Sibiu & Hasso Plattner Foundation research grants LBUS-IRG-2020-06.

Data Availability Statement

The data presented in this study are openly available online. Details about the sources are presented in the paper (references [28,29,30,31]).

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

Appendix A.1. Test of Homogeneity of Variances

Levene
Statistic
df1df2Sig.
GHS_2019Based on mean2.9052240.074
Based on median2.4302240.109
Based on median and with adjusted df2.430219.8820.114
Based on trimmed mean2.8692240.076
Excess mortality_2021Based on mean4.7542240.018
Based on median1.1022240.348
Based on median and with adjusted df1.102212.9610.361
Based on trimmed mean4.0522240.030
DESI_2019Based on mean0.3492240.709
Based on median0.1892240.829
Based on median and with adjusted df0.189220.1830.829
Based on trimmed mean0.3342240.720

Appendix A.2. Multiple Comparisons

Dependent Variable(I) Type(J) TypeMean Difference (I-J)Std.
Error
Sig.95% Confidence Interval
Lower BoundUpper Bound
GHS_2019Tukey HSDHighMedium9.35571 *3.579840.0390.415818.2956
Low8.14000 *3.248650.0490.027216.2528
MediumHigh−9.35571 *3.579840.039−18.2956−0.4158
Low−1.215713.579840.939−10.15567.7242
LowHigh−8.14000 *3.248650.049−16.2528−0.0272
Medium1.215713.579840.939−7.724210.1556
Games–HowellHighMedium9.355714.485580.144−2.982321.6937
Low8.14000 *2.638990.0191.307414.9726
MediumHigh−9.355714.485580.144−21.69372.9823
Low−1.215714.159830.954−13.216810.7854
LowHigh−8.14000 *2.638990.019−14.9726−1.3074
Medium1.215714.159830.954−10.785413.2168
Excess mortality_
2021
Tukey HSDHighMedium−6.302432.957400.105−13.68791.0830
Low−19.00000 *2.683800.000−25.7022−12.2978
MediumHigh6.302432.957400.105−1.083013.6879
Low−12.69757 *2.957400.001−20.0830−5.3121
LowHigh19.00000 *2.683800.00012.297825.7022
Medium12.69757 *2.957400.0015.312120.0830
Games–HowellHighMedium−6.30243 *1.948340.017−11.4748−1.1301
Low−19.00000 *2.915970.000−26.7364−11.2636
MediumHigh6.30243 *1.948340.0171.130111.4748
Low−12.69757 *3.069940.003−20.7513−4.6438
LowHigh19.00000 *2.915970.00011.263626.7364
Medium12.69757 *3.069940.0034.643820.7513
DESI_2019Tukey HSDHighMedium8.77009 *3.385620.0410.315217.2250
Low12.28774 *3.072400.0014.615119.9604
MediumHigh−8.77009 *3.385620.041−17.2250−0.3152
Low3.517653.385620.560−4.937211.9725
LowHigh−12.28774 *3.072400.001−19.9604−4.6151
Medium−3.517653.385620.560−11.97254.9372
Games–HowellHighMedium8.770093.414320.065−0.529518.0697
Low12.28774 *2.939420.0024.741719.8338
MediumHigh−8.770093.414320.065−18.06970.5295
Low3.517653.727490.624−6.353613.3889
LowHigh−12.28774 *2.939420.002−19.8338−4.7417
Medium−3.517653.727490.624−13.38896.3536
*. The mean difference is significant at the 0.05 level.

Appendix A.3. Tests of Between-Subjects Effects

Dependent Variable: GHS_2019.
SourceType III Sum of SquaresdfMean SquareFSig.Partial Eta Squared
Corrected Model476.166a2238.0834.5120.0220.273
Intercept84,206.688184,206.6881595.7670.0000.985
Type476.1662238.0834.5120.0220.273
Error1266.4512452.769
Total89,556.84027
Corrected Total1742.61626
a. R Squared = 0.273 (Adjusted R Squared = 0.213).
Dependent Variable: Excess mortality_2021.
SourceType III Sum of SquaresdfMean SquareFSig.Partial Eta Squared
Corrected Model1858.016 a2929.00825.7960.0000.683
Intercept6977.05216977.052193.7330.0000.890
Type1858.0162929.00825.7960.0000.683
Error864.3312436.014
Total10,108.78027
Corrected Total2722.34726
a. R Squared = 0.683 (Adjusted R Squared = 0.656).
Dependent Variable: DESI_2019.
SourceType III Sum of SquaresdfMean SquareFSig.Partial Eta Squared
Corrected Model790.705 a2395.3538.3760.0020.411
Intercept51,337.490151337.4901087.6980.0000.978
Type790.7052395.3538.3760.0020.411
Error1132.7592447.198
Total55,193.32327
Corrected Total1923.46426
a. R Squared = 0.411 (Adjusted R Squared = 0.362).

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Figure 1. Outliers—GHS Index.
Figure 1. Outliers—GHS Index.
Systems 10 00238 g001
Figure 2. Outliers—excess mortality.
Figure 2. Outliers—excess mortality.
Systems 10 00238 g002
Figure 3. Outliers—DESI.
Figure 3. Outliers—DESI.
Systems 10 00238 g003
Table 1. Average values of CHE_gdp and CHE_pc_usd for the EU countries in 2000–2019.
Table 1. Average values of CHE_gdp and CHE_pc_usd for the EU countries in 2000–2019.
Country Average Current Health Expenditure as % of GDP (2000–2019)Average Current Health Expenditure per Capita in USD (2000–2019)
1Austria9.944309.20
2Belgium9.824013.07
3Bulgaria7.00423.87
4Croatia7.12850.24
5Cyprus6.161622.24
6Czech Republic6.781172.47
7Denmark9.625140.74
8Estonia5.72878.93
9Finland8.703769.47
10France10.774028.43
11Germany10.714241.11
12Greece8.391818.13
13Hungary7.21869.56
14Ireland8.144391.73
15Italy8.462756.88
16Latvia5.80671.94
17Lithuania6.30754.78
18Luxembourg6.175813.21
19Malta8.241745.61
20The Netherlands9.604457.89
21Poland6.16683.53
22Portugal9.391876.40
23Romania5.09385.46
24Slovakia6.74960.05
25Slovenia8.221720.67
26Spain8.372296.73
27Sweden9.334644.59
Source: authors’ calculation based on WHO Global Health Expenditure Database
Table 2. Describes the number of the iterations and the changes in the cluster centres.
Table 2. Describes the number of the iterations and the changes in the cluster centres.
Iteration History
IterationChange in Cluster Centres
123
11020.32239.724379.620
2311.949618.410151.062
30.000122.084151.062
40.0000.0000.000
Table 3. Final Cluster Centres.
Table 3. Final Cluster Centres.
Cluster 1
(N = 10)
Cluster 2
(N = 7)
Cluster 3
(N = 10)
CHE_gdp_av986
CHE_pc_usd_av4480.951976.66765.08
Table 4. COVID-19 in EU—preparedness and strength of health systems (GHS Index), impact (excess mortality), and digital performance (DESI).
Table 4. COVID-19 in EU—preparedness and strength of health systems (GHS Index), impact (excess mortality), and digital performance (DESI).
CountryGHS Index 2019Excess Mortality Monthly Average 2021 (%)DESI 2019
1.Austria57.411.0947.7
2.Belgium61.92.546.1
3.Bulgaria61.434.8332.7
4.Croatia49.821.0338.4
5.Cyprus42.316.7637.0
6.Czech Republic5531.7941.1
7.Denmark67.36.0457.9
8.Estonia55.621.1452.1
9.Finland726.6958.1
10.France62.68.7344.0
11.Germany65.710.1145.1
12.Greece50.617.0430.1
13.Hungary5520.8535.3
14.Ireland55.110.6549.1
15.Italy51.99.4438.5
16.Latvia59.821.3144.5
17.Lithuania54.919.9846.7
18.Luxembourg48.66.8951.5
19.Malta39.316.4852.0
20.The Netherlands67.713.9554.5
21.Poland54.330.0133.9
22.Portugal58.714.4944.3
23.Romania45.522.527.1
24.Slovakia5245.2537.7
25.Slovenia68.617.5345.9
26.Spain60.47.4649.6
27.Sweden66.42.0458.4
Source: authors’ calculation based on GHS Index, European Commission and Eurostat data
Table 5. Study design.
Table 5. Study design.
Null HypothesisAlternative
Hypothesis
Dependent VariableIndependent VariableClusters
There is no difference in pre-pandemic GHS index (2019) between high, medium, and low health spenders.There is a difference in pre-pandemic GHS index (2019) between high, medium, and low health spenders.GHS Index 2019Type of countryCluster 1: high health spenders
There is no difference in excess mortality during the COVID-19 crisis (2021) between high, medium, and low health spenders. There is a difference in excess mortality during the COVID-19 crisis (2021) between high, medium, and low health spenders.Excess mortality 2021Cluster 2: medium health spenders
There is no difference in pre-pandemic DESI index (2019) between high, medium, and low health spenders.There is a difference in pre-pandemic DESI index (2019) between high, medium, and low health spenders.DESI 2019Cluster 3: low health spenders
Table 6. Tests of normality.
Table 6. Tests of normality.
TypeKolmogorov–SmirnovaShapiro–Wilk
StatisticdfSig.StatisticdfSig.
GHS_2019High0.178100.200 *0.943100.583
Medium0.13870.200 *0.96870.884
Low0.197100.200 *0.944100.597
Excess mortality_2021High0.123100.200 *0.960100.781
Medium0.28670.0860.79970.040
Low0.298100.0120.799100.014
DESI_2019High0.181100.200 *0.893100.181
Medium0.16670.200 *0.96370.847
Low0.131100.200 *0.987100.991
* This is a lower bound of the true significance, a Lilliefors Significance Correction.
Table 7. Descriptives.
Table 7. Descriptives.
NMeanStd.
Deviation
Std.
Error
95% Confidence Interval for MeanMinMax
Lower BoundUpper Bound
GHS_2019High1062.47006.993022.2113957.467567.472548.6072.00
Medium753.114310.325283.9025943.565062.663639.3068.60
Low1054.33004.554131.4401451.072257.587845.5061.40
Total2757.02968.186801.5755553.791060.268239.3072.00
Excess mortality_2021High107.86903.791041.198835.157110.58092.0413.95
Medium714.17144.063461.5358410.413417.92957.4617.53
Low1026.86908.405782.6581420.855932.882119.9845.25
Total2716.540010.232581.9692612.492120.58792.0445.25
DESI_2019High1051.24275.658431.7893547.194955.290543.9558.39
Medium742.47267.693552.9078935.357349.588030.0651.96
Low1038.95507.374542.3320333.679644.230427.0852.12
Total2744.41808.601131.6552941.015547.820527.0858.39
Table 8. ANOVA.
Table 8. ANOVA.
Sum of SquaresdfMean SquareFSig.
GHS_2019Between Groups476.1662238.0834.5120.022
Within Groups1266.4512452.769
Total1742.61626
Excess mortality_2021Between Groups1858.0162929.00825.7960.000
Within Groups864.3312436.014
Total2722.34726
DESI_2019Between Groups790.7052395.3538.3760.002
Within Groups1132.7592447.198
Total1923.46426
Table 9. Robust Tests of Equality of Means.
Table 9. Robust Tests of Equality of Means.
Statistic adf1df2Sig.
GHS_2019Welch4.895212.5730.027
Excess mortality_2021Welch21.583214.5430.000
DESI_2019Welch9.152214.0270.003
a. Asymptotically F distributed.
Table 10. Clusters’ features.
Table 10. Clusters’ features.
Cluster 1
High Health Spenders
Cluster 2
Medium Health Spenders
Cluster 3
Low Health Spenders
CHE_gdp (average 2000–2019, %)986
CHE_pc_usd (average 2000–2019, USD)4480.951976.76765.08
GHS Index (2019, score)62.4753.1154.33
Excess mortality (2021, %)7.8714.1726.87
DESI (2019, score)51.2442.4938.95
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Marginean, S.; Orastean, R. Health Spending Patterns and COVID-19 Crisis in European Union: A Cross-Country Analysis. Systems 2022, 10, 238. https://doi.org/10.3390/systems10060238

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Marginean S, Orastean R. Health Spending Patterns and COVID-19 Crisis in European Union: A Cross-Country Analysis. Systems. 2022; 10(6):238. https://doi.org/10.3390/systems10060238

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Marginean, Silvia, and Ramona Orastean. 2022. "Health Spending Patterns and COVID-19 Crisis in European Union: A Cross-Country Analysis" Systems 10, no. 6: 238. https://doi.org/10.3390/systems10060238

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