Submitted:
26 November 2024
Posted:
27 November 2024
You are already at the latest version
Abstract
Keywords:
1. Introduction
2. Literature Review
2.1. DEA in Cross-Country Analysis of Energy Efficiency
2.2. NDEA in Assessing Energy Efficiency
2.3. DEA in Assessing the Impact of Geographical Location on Energy Efficiency
3. Research Methods and Data
4. Results
5. Discussion and Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Title (Year) | DMU | DEA model | Analysis Criteria |
|---|---|---|---|
| Dynamic spillover effects of renewable energy efficiency in the European countries (2024) [26] | 25 European countries from 2005 and 2020 | two-stage: DEA and regression | Inputs: renewable energy consumption, capital labour Outputs: GDP Influencing factors: GDP, energy price, renewable energy consumption, information and communications technology, industrial value added |
| Evaluating renewable energy consumption efficiency and impact factors in Asia-pacific economic cooperation countries: A new approach of DEA with undesirable output model (2024) [27] | 21 APEC member countries from 2011 to 2020 | DEA with undesirable output | Inputs: foreign direct investment total energy consumption, total renewable energy capacity Outputs: GDPUndesirables: GHG |
| Evaluating solar photovoltaic power efficiency based on economic dimensions for 26 countries using a three-stage data envelopment analysis (2023) [28] | 26 countries from 2000 to 2020 | three-stage: DEA-SFA-DEA | Inputs: capital, labour, PV installed capacity, PV patents Output: PV generation Environment variables: proportion of the urban population, GDP per capita, CO2 |
| Assessing Asian Economies Renewable Energy Consumption Efficiency Using DEA with Undesirable Output (2022) [29] | 14 Asian countries in 2019 | DEA with undesirable output | Inputs: labour, energy consumption, the share of renewable energy, and total renewable energy capacity Outputs: CO2 and GDP |
| Global renewable energy power generation efficiency evaluation and influencing factors analysis (2022) [7] | 36 countries from 2009 to 2018 | Super efficiency DEA, MI, and random forest regression model to analyse the influence of the selected factors | Inputs: five types of renewable energy installed capacity Outputs: renewable energy power generation Influencing factors: population size and density, economic level, urbanisation rate, production level, industrialisation level and structure, electricity and energy structure, carbon emissions, and technology level |
| Assessing Renewable Energy Production Capabilities Using DEA Window and Fuzzy TOPSIS Model [30] (2021) | 42 countries 2010–2019 | DEA window and FTOPSIS | Inputs: population, total energy consumption, and total renewable energy capacity Outputs: GDP, total energy production FTOPSIS: availability of resource, energy security, technological infrastructure, economic stability, social acceptance |
| Efficiency assessment of electricity generation from renewable and non-renewable energy sources using Data Envelopment Analysis (2021) [31] |
126 countries from 2000 to 2016 | BCC model | Inputs: renewable and non-renewable energy sources generation capacity Outputs: Power generation, CO2 emissions avoided |
| Environmental efficiency of disaggregated energy R&D expenditures in OECD: a bootstrap DEA approach (2021) [32] | 26 OECD countries | Bootstrap IO CCR DEA | Inputs: six different energy R&D expenditure indicators in 2015 Outputs: CO2 emission per capita |
| Dual Efficiency and Productivity Analysis of Renewable Energy Alternatives of OECD Countries (2021) [5] | Selected OECD countries in 2012, 2014, and 2016 | OO BCC model and MI | Inputs: investment in RE sources Outputs: electricity generation, EPI, the proportion of the population with access to clean fuels and technology for cooking |
| The efficiency of wind power companies in electricity generation (2021) [33] | 78 wind power companies in 12 selected European countries in 2014 | IO SBM VRS- DEA | Inputs: wind turbine power and number, fuel, tangible fixed assets, receivables and other assets, cash and cash equivalents Outputs: electricity production, EBITDA |
| A cross-European efficiency assessment of offshore wind farms: A DEA approach (2020) [34] | 71 offshore wind farms across 5 countries in 2018 | CCR DEA with sensitivity analysis | Inputs: number of turbines, cost, distance to shore, area Outputs: connectivity, generated electricity, water depth |
| Eco-efficiency assessment for some European countries using slacks-based measure data envelopment analysis (2020) [35] | 17 European countries from 2013 to 2017 | SBM DEA with undesirable outputs model and MI | Inputs: energy consumption, labour productivity, the share of renewable energy in energy consumption, gross capital formation productivity Outputs: GDP per capita, CO2 per capita |
| Eco-efficiency assessment of the electricity sector: evidence from 28 European Union countries (2020) [36] | 28 EU countries 2010 and 2014. | DEA Directional Distance Function model | Inputs: labour, capital, GHG, acidifying gases, ozone Precursors Outputs: GVA |
| A global level analysis of environmental energy efficiency: an application of data envelopment analysis (2020) [37] | 149 economies categorized into low-, middle- and high-income from 1993 to 2013 | IO and OO DEA with and without undesirable output and directional distance function | Inputs: labour, capital, energy Outputs: GDP, CO2 |
| Renewable Energy Utilization Analysis of Highly and Newly Industrialized Countries Using an Undesirable Output Model (2020) [38] | 17 countries highly and newly industrialised from 2013 to 2018 | DEA with undesirables preceded by Grey Prediction Model | Inputs: total renewable energy capacity, labour force, total energy consumption Outputs: CO2, GDP |
| Across-country evaluation of energy efficiency from the sustainable development perspective (2019) [39] | 132 countries from 2007 to 2014 | MinSum DEA | Inputs: GDP per unit of energy use, renewable energy consumption Outputs: GDP, CO2 emissions per GDP |
| Cost-efficiency benchmarking of European renewable electricity support schemes (2018) [40] | 25 EU member states and Norway from 2000 to 2015 | CCR model | Inputs: PV fee, wind fee, LCOE PV, LCOE wind Outputs: PV share, Wind share, REs share |
| Renewable and sustainable energy efficiency: An analysis of Latin American countries (2018) [41] | 156 Latin American countries from 1991 to 2013 | SBM VRS DEA with window analysis | Inputs: labour, capital, energy consumption Outputs: GDP, CO2 |
| Energy efficiency and its determinants: An empirical analysis (2018) [42] | 20 of the largest producers of renewable energy from 2009 to 2013 | BCC DEA and truncated regression | Input: primary energy consumption, capital, labour Output: GDP Regression: renewable energy consumption, GVA per capita, population density |
| Energy security and renewable energy efficiency in EU (2018) [43] | 14 EU countries from 2004 to 2014 | DEA and sequential Malmquist-Luenberger index | Input: deployed renewables Output: increase in the share of RE in total electricity generation Undesirable outputs: coal products, oil products and natural gas |
| Title (Year) | DMU | DEA model | Analysis Criteria |
|---|---|---|---|
| A robust network DEA model for sustainability assessment: an application to Chinese provinces (2022) [51] | 30 Chinese regions during 2000-2012 | multiplicative two-stage relational NDEA | capital, labour, energy, GDP, CO2, SO2 |
| Policy, technical change, and environmental efficiency: Evidence of China's power system from dynamic and spatial perspective (2022) [52] | 30 Chinese provinces from 2011 to 2020 | DNSBM-DDF model and global MPI | feed-in tariff, renewable portfolio standard CO2, SO2, NOx, and line loss |
| The dynamics of Indian energy mix: a two-phase analysis (2022) [47] | 18 Indian states from 2008 to 2016 | two phases consist of two stages serial NDEA and regression | renewable and conventional capacities, generation from RES and conventional sources, length of transmission lines, technical and commercial losses, agricultural-, residential-, and industrial consumption, state GDP per capita |
| Analysis of inter-temporal change in the energy and CO2 emissions efficiency of economies: a two divisional network DEA approach (2020) [53] | Iran’s Electricity Distribution Network | two stage NDEA | labour, capital, energy consumption, GDP, CO2, the total population |
| China’s provincial eco-efficiency and its driving factors—based on network DEA and PLS-SEM Method (2020) [54] | 30 Chinese regions in 1996 -2015 | two-stage serial NDEA and PLS-SEM | labour, asset, energy consumption, land used, water, GDP, wastewater, exhaust, SO2, investment in pollution control, solid waste utilization, wastewater treatment, greening rate |
| Developing a network DEA model for sustainability analysis of Iran’s electricity distribution network (2020) [55] | Iran’s electricity distribution network | serial and parallel NDEA | fuel, staff, import, export, sale to big industry, electricity generated, electricity distributed, loss in transmission, purchase, network length, service area, sale to customers |
| Dynamic linkages among economic development, energy consumption, environment, and health sustainable in EU and Non-EU Countries (2019) [56] | 8 EU and 53 non-EU countries from 2010 to 2014 | two-stage meta-frontier dynamic serial NDEA | labour, renewable and non-renewable energy consumption, assets, GDP, health expenditure, survival rate, tuberculosis rate, CO2, PM2.5, mortality rates |
| Energy efficiency and health efficiency of old and new EU member states (2020) [57] | 15 old and 13 new EU states from 2010 to 2014 | two-stage meta-frontier dynamic serial NDEA | labour, renewable and non-renewable energy consumption, assets, GDP, health expenditure, survival rate, tuberculosis rate, CO2, PM2.5, mortality rates |
| Environmental assessment of European Union countries (2019) [58] | 28 EU countries 2006–2013 | dynamic DEA | labour, capital, energy consumption, GHE, SOx, GDP, GCF |
| Research on new and traditional energy sources in OECD countries (2019) [59] | 35 OECD countries | dynamic SBM DEA | labour, energy consumption, new energy consumption, GDP, CO2, PM2.5, fixed assets |
| Energy and CO2 emissions efficiency of major economies: a network DEA approach (2018) [60] | major economies | SBM two stages NDEA | energy resources, economic outputs, energy consumption, CO2 |
| Economic and technical efficiency of the biomass industry in China: a network data envelopment analysis model involving externalities (2017) [61] | 31 Chinese provinces in 2012 | NDEA model with undesirable outputs | operational cost, forest residues, organic waste, rural power, fertilizers, agricultural machinery, commercial and residential power, agricultural production, rural power, pollutants, agricultural and straw residues |
| Title | DMU | DEA model | Analysis Criteria |
|---|---|---|---|
| A novel two-stage multicriteria decision-making approach for selecting solar farm sites: A case study (2024) [62] | 39 potential cities in the Baltic region | DEA and TOPSIS | temperature, wind speed, humidity, precipitation, and air pressure as inputs and sunshine hours, elevation, and irradiation and six evaluation criteria to prioritize the locations |
| Benchmarking performance of photovoltaic power plants in multiple periods (2023) [63] | 3 PV power plants in multiple periods | multi-period DEA | solar insolation, daily sun-hours, temperature, installation cost, installed capacity |
| Analysis of dynamic renewable energy generation efficiency and its influencing factors considering cooperation and competition between decision-making units: a case study of China [64] | China's provinces | DEA cross-efficiency | cumulative installed capacity, annual equipment utilisation hours, electricity consumption of power generation companies, electricity generation |
| New approach to prioritize wind farm sites by data envelopment analysis method: A case study (2023) [65] | 14 offshore sites of the Moroccan seas for 2016–2020 | DEAM (supper-efficiency DEA model) | water depth, distance to coast, accessibility, maximum wave height, maximum wind speed, wind power density |
| A two-stage approach of DEA and AHP in selecting optimal wind power plants (2023) [66] | 12 locations in Vietnam | DEA (CCR-I, CCR-O, BCC-I, BCC-O, SBM-I-O, SMB-O-C) and AHP | DEA: frequency of natural disasters, land cost, wind blow, population, quantity of proper geological and topographical area AHP: location characteristic, technical, economic, social, environmental |
| A novel integrated approach for ranking solar energy location planning: a case study (2021) [67] | 10 provinces in Canada | hybrid approach composed of data (DEA), balanced scorecard (BSC) and game theory (GT) | cost of construction, income, electricity generated by the plant and electricity generated by the panel, amount of pollution |
| Techno-enviro assessment and ranking of Turkey for use of home-scale solar water heaters (2021) [68] | 2 types of solar water heaters for 45 stations in Turkey | BCC and additive DEA model | total annual irradiation, diffuse radiation percentage, cold water temperature, total solar fraction, solar contribution to heating, CO2 emissions avoided, boiler energy to heating and to DHW |
| A two-stage multiple criteria decision making for site selection of solar photovoltaic (pv) power plant: a case study in Taiwan (2021) [69] | 20 potential cities and counties of Taiwan | DEA (CCR-I, CCR-O, BCC-I, BCC-O, SBM-I-O, SMB-O-C) and AHP | DEA: temperature, wind speed, humidity, precipitation, air pressure, sunshine hours, insolation AHP: site characteristics, technical, economic, social, environmental |
| Performance evaluation of solar PV power plants in Taiwan using data envelopment analysis (2021) [70] | solar PV power plants in Taiwan. | epsilon-based DEA | surface area, number of modules, ambient temperature, plant capacity, PV module temperature, irradiation, generated energy |
| Location optimization of wind plants using DEA and fuzzy multi-criteria decision making: a case study in Vietnam (2021) [71] | 20 potential provinces in Vietnam | DEA, FAHP, FWASPAS | DEA: land cost, intensity of natural disasters occurrence, wind power density, quantity of proper geological areas, population FAHP: technical, economic, social/political, environmental |
| Factors affecting the efficiency of wind power in the European Union countries (2019) [22] | 27 EU countries | two-stage bias-corrected DEA | installed wind power capacity, average wind power density, wind-generated electricity, and additional aspects: environmental, economic and energy security |
| A novel multi-period double frontier network DEA to sustainable location optimization of hybrid wind-photovoltaic power plant with real application (2018) [72] | 22 Iran provinces | double frontier (optimistic and pessimistic) parallel single- and multi-period NDEA | land cost, HDI, distance to high consumptions province, wind speed, population, electricity consumptions, sunny hours, above sea level |
| Variable | Description, source | Unit, year | Source |
|---|---|---|---|
| x1 | Mean wind speed | m/s (data for 10% windiest area) | [90] |
| x2 | GHI | kWh/m2/day | [91]* |
| x3 | Population | million people, 2018-2022 | [92,93] |
| x4 | Land area | square thousand km, 2021 | [94] |
| z1 | Wind energy capacity | MW, 2018, 2022 | [95] |
| z2 | Solar PV capacity | MW, 2018-2022 | [95] |
| y1 | Wind energy generation | GWh per year, 2018-2022 | [96] |
| y2 | Solar power generation | TWh per year, 2018-2022 | [97] |
| v1 | Wind capacity per capita | W | |
| v2 | PV capacity per capita | W | |
| v3 | Wind energy generation per capita | kW | |
| v4 | Solar power generation per capita | kW |
| Population | Land area | Mean Wind Speed | GHI | Wind capacity per capita | Solar PV capacity | Wind energy generation per capita | Wind energy generation per capita | Wind capacity | Solar PV capacity | Wind energy generation | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Population | 1.000 | ||||||||||
| Land area | 0.683 | 1.000 | |||||||||
| Mean Wind Speed | 0.203 | 0.154 | 1.000 | ||||||||
| GHI | 0.029 | -0.027 | -0.593 | 1.000 | |||||||
| Wind capacity per capita | 0.078 | 0.283 | 0.633 | -0.340 | 1.000 | ||||||
| Solar PV capacity per capita | 0.260 | -0.104 | 0.114 | 0.047 | 0.139 | 1.000 | |||||
| Wind energy generation per capita | 0.029 | 0.242 | 0.678 | -0.361 | 0.985 | 0.089 | 1.000 | ||||
| Solar power generation per capita | 0.334 | -0.005 | 0.006 | 0.283 | 0.121 | 0.920 | 0.064 | 1.000 | |||
| Wind capacity | 0.823 | 0.508 | 0.328 | -0.063 | 0.398 | 0.374 | 0.327 | 0.431 | 1.000 | ||
| Solar PV capacity | 0.826 | 0.416 | 0.168 | 0.008 | 0.187 | 0.573 | 0.108 | 0.584 | 0.910 | 1.000 | |
| Wind energy generation | 0.819 | 0.494 | 0.406 | -0.098 | 0.428 | 0.346 | 0.372 | 0.403 | 0.985 | 0.856 | 1.000 |
| Solar power generation | 0.853 | 0.484 | 0.134 | 0.112 | 0.185 | 0.521 | 0.105 | 0.603 | 0.914 | 0.973 | 0.865 |
| Min | Max | Mean | Std. dev. | |
|---|---|---|---|---|
| x1 | 5.66 | 10.18 | 7.90 | 1.01 |
| x2 | 2.53 | 5.21 | 3.33 | 0.68 |
| x3 | 0.65 | 83.37 | 18.12 | 22.32 |
| x4 | 2.57 | 579.40 | 170.30 | 166.59 |
| z1 | 3.00 | 66315.00 | 7490.81 | 13064.71 |
| z2 | 56.00 | 66554.00 | 7101.69 | 12782.09 |
| y1 | 5.00 | 125287.00 | 16167.99 | 26724.79 |
| y2 | 0.01 | 58.98 | 7.05 | 12.34 |
| v1 | 0.71 | 1379.90 | 377.42 | 372.40 |
| v2 | 26.88 | 1286.15 | 310.56 | 254.56 |
| v3 | 0.89 | 3230.37 | 860.08 | 916.97 |
| v4 | 5.40 | 958.21 | 292.85 | 233.90 |
| Country | Two-stage NDEA 2018 | Two-stage NDEA 2022 | Malmquist index | |||||||||
| One stage DEA 2018 | One stage DEA 2022 | First stage | Second stage | Overall | First stage | Second stage | Overall | catch-up | frontier-shift | index | ||
| AU | Austria | 41.6% | 43.1% | 39.2% | 78.2% | 30.7% | 48.5% | 63.6% | 30.9% | 1.01 | 1.57 | 1.58 |
| BY | Belarus | 4.7% | 5.5% | 2.3% | 50.5% | 1.2% | 2.2% | 63.8% | 1.4% | 1.20 | 1.54 | 1.84 |
| BE | Belgium | 100.0% | 97.3% | 97.3% | 86.7% | 84.3% | 77.0% | 96.0% | 74.0% | 0.88 | 1.64 | 1.44 |
| BG | Bulgaria | 43.2% | 40.2% | 22.7% | 84.1% | 19.1% | 21.5% | 75.5% | 16.2% | 0.85 | 1.44 | 1.22 |
| HR | Croatia | 14.2% | 18.9% | 5.7% | 73.4% | 4.2% | 7.1% | 60.5% | 4.3% | 1.03 | 2.12 | 2.18 |
| CY | Cyprus | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 79.6% | 79.6% | 0.80 | 1.12 | 0.89 |
| CZ | Czechia | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 49.9% | 68.6% | 34.2% | 0.34 | 2.87 | 0.98 |
| DK | Denmark | 100.0% | 100.0% | 100.0% | 70.1% | 70.1% | 100.0% | 75.8% | 75.8% | 1.08 | 1.49 | 1.61 |
| EE | Estonia | 100.0% | 100.0% | 100.0% | 71.8% | 71.8% | 100.0% | 75.8% | 75.8% | 1.06 | 0.86 | 0.91 |
| FI | Finland | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 50.7% | 52.8% | 0.53 | 0.91 | 0.48 |
| FR | France | 33.2% | 43.1% | 30.1% | 100.0% | 32.1% | 37.2% | 100.0% | 37.2% | 1.16 | 1.34 | 1.55 |
| DE | Germany | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 1.00 | 1.00 | 1.00 |
| GR | Greece | 70.2% | 73.1% | 43.1% | 96.6% | 41.7% | 58.9% | 89.5% | 52.7% | 1.26 | 1.42 | 1.80 |
| HU | Hungary | 100.0% | 100.0% | 100.0% | 71.1% | 71.1% | 100.0% | 100.0% | 100.0% | 1.41 | 1.01 | 1.42 |
| IE | Ireland | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 1.00 | 1.00 | 1.00 |
| IT | Italy | 97.8% | 87.8% | 47.6% | 86.5% | 41.2% | 50.0% | 80.4% | 40.2% | 0.98 | 1.74 | 1.70 |
| LV | Latvia | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 1.00 | 0.45 | 0.45 |
| LT | Lithuania | 36.1% | 39.8% | 14.5% | 76.7% | 11.1% | 39.3% | 56.9% | 22.4% | 2.01 | 2.04 | 4.09 |
| LU | Luxembourg | 100.0% | 100.0% | 100.0% | 75.7% | 75.7% | 100.0% | 65.6% | 65.6% | 0.87 | 0.86 | 0.74 |
| NL | Netherlands | 100.0% | 100.0% | 100.0% | 83.1% | 83.1% | 100.0% | 100.0% | 100.0% | 1.20 | 1.16 | 1.39 |
| MK | North Macedonia | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 1.00 | 1.00 | 1.00 |
| NO | Norway | 39.7% | 100.0% | 100.0% | 59.8% | 59.8% | 50.0% | 50.0% | 25.0% | 0.25 | 73.09 | 18.28 |
| PL | Poland | 27.9% | 36.0% | 5.4% | 48.7% | 2.6% | 33.4% | 83.7% | 27.9% | 10.62 | 1.47 | 15.63 |
| PT | Portugal | 78.9% | 64.6% | 21.1% | 100.0% | 21.1% | 36.3% | 99.3% | 36.0% | 1.71 | 1.73 | 2.96 |
| RO | Romania | 61.0% | 59.7% | 38.5% | 95.4% | 36.7% | 24.7% | 96.4% | 23.8% | 0.65 | 1.60 | 1.04 |
| SK | Slovakia | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 1.00 | 1.00 | 1.00 |
| SI | Slovenia | 28.5% | 27.0% | 0.5% | 69.5% | 0.3% | 0.4% | 66.2% | 0.3% | 0.77 | 1.23 | 0.95 |
| ES | Spain | 81.4% | 95.2% | 40.0% | 100.0% | 40.0% | 64.3% | 100.0% | 64.3% | 1.60 | 1.37 | 2.20 |
| SE | Sweden | 100.0% | 100.0% | 18.9% | 85.2% | 16.1% | 74.1% | 79.9% | 59.2% | 3.68 | 2.02 | 7.46 |
| SE | Switzerland | 45.5% | 33.1% | 2.3% | 60.6% | 1.4% | 2.4% | 61.7% | 1.5% | 1.03 | 1.20 | 1.24 |
| GB | UK | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 100.0% | 1.00 | 1.00 | 1.00 |
| UA | Ukraine | 5.3% | 22.0% | 3.7% | 75.5% | 2.8% | 10.7% | 32.2% | 3.4% | 1.24 | 1.23 | 1.53 |
| Average | 72.2% | 74.6% | 60.4% | 84.4% | 53.7% | 63.7% | 81.9% | 55.6% | ||||
| Overall NDEA 2018 (X→Z→Y) | Overall NDEA 2022 (X→Z→Y) | DEA 2022 (X→Y) | |
| DEA 2018 (X→Y) | 82.7% | 93.4% | |
| DEA 2022 (X→Y) | 83.9% | ||
| Overall NDEA 2018 (X→Z→Y) | 84.6% | ||
| First stage NDEA 2018 (X→Z→Y) | First stage NDEA 2022 (X→Z→Y) | DEA 2022 (X→Z) | |
| DEA 2018 (X→Z) | 84.3% | 94.8% | |
| DEA 2022 (X→Z) | 92.4% | ||
| First stage NDEA 2018 (X→Z→Y) | 89.0% | ||
| Second stage NDEA 2018 (X→Z→Y) | Second stage NDEA 2022 (X→Z→Y) | DEA 2022 (Z→Y) | |
| DEA 2018 (Z→Y) | 49.8% | 54.0% | |
| DEA 2022 (Z→Y) | 51.8% | ||
| Second stage NDEA 2018 (X→Z→Y) | 54.1% |
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