1 Συντελεστής ασυμμετρίας του Pearson

Στην ενότητα αυτή θα μελετήσουμε το μέσο ημερήσιο κόστος μιας υγιεινούς διατροφής σε κάθε χώρα το 2021 και το μέσο ετήσιο κόστος για φαγητό σε κάθε χώρα το ίδιο έτος.

Προς τούτο θα χρησιμοποιήσουμε δεδομένα από το Our World in Data, τα οποία έχουμε αποθηκεύσει σε δύο αρχεία, τα costHealthyDiet.csv και foodExpenditureYear.csv, αφού πρώτα διαγράψουμε τις μεταβλητές των προηγούμενων κεφαλαίων.

rm(list = ls())
Entity Code Year Cost.of.a.healthy.diet
Albania ALB 2017 3.952000
Albania ALB 2018 4.069000
Albania ALB 2019 4.262000
Albania ALB 2020 4.280000
Albania ALB 2021 4.388000
Algeria DZA 2017 3.763000
Algeria DZA 2018 3.822000
Algeria DZA 2019 3.796000
Algeria DZA 2020 3.760000
Algeria DZA 2021 4.043000
Angola AGO 2017 4.327000
Angola AGO 2018 4.293000
Angola AGO 2019 4.352000
Angola AGO 2020 4.585000
Angola AGO 2021 5.031000
Anguilla AIA 2017 3.717000
Antigua and Barbuda ATG 2017 4.112000
Antigua and Barbuda ATG 2018 4.302000
Antigua and Barbuda ATG 2019 4.391000
Antigua and Barbuda ATG 2020 4.504000
Antigua and Barbuda ATG 2021 4.684000
Argentina ARG 2017 3.341000
Armenia ARM 2017 3.096000
Armenia ARM 2018 3.166000
Armenia ARM 2019 3.237000
Armenia ARM 2020 3.247000
Armenia ARM 2021 3.527000
Aruba ABW 2017 3.418000
Aruba ABW 2018 3.620000
Aruba ABW 2019 3.907000
Aruba ABW 2020 4.007000
Aruba ABW 2021 4.116000
Australia AUS 2017 2.259000
Australia AUS 2018 2.283000
Australia AUS 2019 2.296000
Australia AUS 2020 2.389000
Australia AUS 2021 2.437000
Austria AUT 2017 2.772000
Austria AUT 2018 2.848000
Austria AUT 2019 2.915000
Austria AUT 2020 3.004000
Austria AUT 2021 3.027000
Azerbaijan AZE 2017 2.348000
Azerbaijan AZE 2018 2.399000
Azerbaijan AZE 2019 2.459000
Azerbaijan AZE 2020 2.533000
Azerbaijan AZE 2021 2.690000
Bahamas BHS 2017 4.276000
Bahamas BHS 2018 4.387000
Bahamas BHS 2019 4.364000
Bahamas BHS 2020 4.488000
Bahamas BHS 2021 4.661000
Bahrain BHR 2017 3.379000
Bahrain BHR 2018 3.463000
Bahrain BHR 2019 3.573000
Bahrain BHR 2020 3.835000
Bahrain BHR 2021 4.036000
Bangladesh BGD 2017 2.882000
Bangladesh BGD 2018 2.971000
Bangladesh BGD 2019 3.024000
Bangladesh BGD 2020 3.064000
Bangladesh BGD 2021 3.201000
Belarus BLR 2017 3.177000
Belarus BLR 2018 3.228000
Belarus BLR 2019 3.310000
Belarus BLR 2020 3.310000
Belarus BLR 2021 3.471000
Belgium BEL 2017 2.862000
Belgium BEL 2018 2.962000
Belgium BEL 2019 3.047000
Belgium BEL 2020 3.159000
Belgium BEL 2021 3.125000
Belize BLZ 2017 2.476000
Belize BLZ 2018 2.517000
Belize BLZ 2019 2.574000
Belize BLZ 2020 2.632000
Belize BLZ 2021 2.797000
Benin BEN 2017 3.550000
Benin BEN 2018 3.670000
Benin BEN 2019 3.664000
Benin BEN 2020 3.707000
Benin BEN 2021 4.041000
Bermuda BMU 2017 4.072000
Bermuda BMU 2018 3.789000
Bermuda BMU 2019 3.834000
Bermuda BMU 2020 3.718000
Bermuda BMU 2021 3.395000
Bhutan BTN 2017 4.383000
Bhutan BTN 2018 4.587000
Bhutan BTN 2019 4.712000
Bhutan BTN 2020 5.020000
Bhutan BTN 2021 5.339000
Bolivia BOL 2017 3.551000
Bolivia BOL 2018 3.648000
Bolivia BOL 2019 3.769000
Bolivia BOL 2020 3.755000
Bolivia BOL 2021 3.927000
Bosnia and Herzegovina BIH 2017 3.847000
Bosnia and Herzegovina BIH 2018 3.907000
Bosnia and Herzegovina BIH 2019 4.043000
Bosnia and Herzegovina BIH 2020 3.961000
Bosnia and Herzegovina BIH 2021 4.105000
Botswana BWA 2017 3.622000
Botswana BWA 2018 3.575000
Botswana BWA 2019 3.591000
Botswana BWA 2020 3.701000
Botswana BWA 2021 3.829000
Brazil BRA 2017 2.809000
Brazil BRA 2018 2.800000
Brazil BRA 2019 2.882000
Brazil BRA 2020 3.084000
Brazil BRA 2021 3.350000
British Virgin Islands VGB 2017 3.235000
British Virgin Islands VGB 2018 3.087000
British Virgin Islands VGB 2019 3.281000
British Virgin Islands VGB 2020 3.220000
British Virgin Islands VGB 2021 3.425000
Brunei BRN 2017 4.126000
Brunei BRN 2018 4.263000
Brunei BRN 2019 4.327000
Brunei BRN 2020 4.405000
Brunei BRN 2021 4.641000
Bulgaria BGR 2017 3.780000
Bulgaria BGR 2018 3.876000
Bulgaria BGR 2019 4.036000
Bulgaria BGR 2020 4.129000
Bulgaria BGR 2021 4.151000
Burkina Faso BFA 2017 3.173000
Burkina Faso BFA 2018 3.296000
Burkina Faso BFA 2019 3.240000
Burkina Faso BFA 2020 3.345000
Burkina Faso BFA 2021 3.611000
Burundi BDI 2017 2.988000
Burundi BDI 2018 2.804000
Burundi BDI 2019 2.783000
Burundi BDI 2020 2.943000
Burundi BDI 2021 3.138000
Cambodia KHM 2017 3.618000
Cambodia KHM 2018 3.706000
Cambodia KHM 2019 3.778000
Cambodia KHM 2020 3.888000
Cambodia KHM 2021 4.064000
Cameroon CMR 2017 2.616000
Cameroon CMR 2018 2.684000
Cameroon CMR 2019 2.744000
Cameroon CMR 2020 2.808000
Cameroon CMR 2021 2.997000
Canada CAN 2017 2.863000
Canada CAN 2018 2.911000
Canada CAN 2019 2.927000
Canada CAN 2020 3.017000
Canada CAN 2021 3.065000
Cape Verde CPV 2017 3.358000
Cape Verde CPV 2018 3.413000
Cape Verde CPV 2019 3.484000
Cape Verde CPV 2020 3.563000
Cape Verde CPV 2021 3.683000
Cayman Islands CYM 2017 2.928000
Cayman Islands CYM 2018 2.866000
Cayman Islands CYM 2019 2.701000
Cayman Islands CYM 2020 2.910000
Cayman Islands CYM 2021 3.050000
Central African Republic CAF 2017 3.423000
Central African Republic CAF 2018 3.507000
Central African Republic CAF 2019 3.570000
Central African Republic CAF 2020 3.615000
Central African Republic CAF 2021 3.784000
Chad TCD 2017 2.831000
Chad TCD 2018 2.735000
Chad TCD 2019 2.666000
Chad TCD 2020 2.827000
Chad TCD 2021 2.941000
Chile CHL 2017 3.053000
Chile CHL 2018 3.180000
Chile CHL 2019 3.276000
Chile CHL 2020 3.349000
Chile CHL 2021 3.387000
China CHN 2017 2.571000
China CHN 2018 2.630000
China CHN 2019 2.792000
China CHN 2020 2.983000
China CHN 2021 2.960000
Colombia COL 2017 2.863000
Colombia COL 2018 2.893000
Colombia COL 2019 2.932000
Colombia COL 2020 3.080000
Colombia COL 2021 3.301000
Congo COG 2017 3.343000
Congo COG 2018 3.385000
Congo COG 2019 3.365000
Congo COG 2020 3.421000
Congo COG 2021 3.626000
Costa Rica CRI 2017 3.961000
Costa Rica CRI 2018 4.000000
Costa Rica CRI 2019 4.048000
Costa Rica CRI 2020 3.889000
Costa Rica CRI 2021 3.925000
Cote d’Ivoire CIV 2017 3.273000
Cote d’Ivoire CIV 2018 3.357000
Cote d’Ivoire CIV 2019 3.506000
Cote d’Ivoire CIV 2020 3.610000
Cote d’Ivoire CIV 2021 3.909000
Croatia HRV 2017 4.168000
Croatia HRV 2018 4.220000
Croatia HRV 2019 4.273000
Croatia HRV 2020 4.301000
Croatia HRV 2021 4.290000
Curacao CUW 2017 2.866000
Curacao CUW 2018 2.988000
Curacao CUW 2019 3.144000
Curacao CUW 2020 3.236000
Curacao CUW 2021 3.495000
Cyprus CYP 2017 2.846000
Cyprus CYP 2018 2.880000
Cyprus CYP 2019 2.947000
Cyprus CYP 2020 2.991000
Cyprus CYP 2021 2.955000
Czechia CZE 2017 2.899000
Czechia CZE 2018 2.921000
Czechia CZE 2019 3.025000
Czechia CZE 2020 3.003000
Czechia CZE 2021 2.985000
Democratic Republic of Congo COD 2017 2.921000
Democratic Republic of Congo COD 2018 2.580000
Democratic Republic of Congo COD 2019 2.393000
Democratic Republic of Congo COD 2020 2.242000
Democratic Republic of Congo COD 2021 2.253000
Denmark DNK 2017 2.376000
Denmark DNK 2018 2.440000
Denmark DNK 2019 2.491000
Denmark DNK 2020 2.508000
Denmark DNK 2021 2.500000
Djibouti DJI 2017 2.797000
Djibouti DJI 2018 2.866000
Djibouti DJI 2019 2.985000
Djibouti DJI 2020 3.112000
Djibouti DJI 2021 3.250000
Dominica DMA 2017 4.000000
Dominica DMA 2018 4.146000
Dominica DMA 2019 4.236000
Dominica DMA 2020 4.345000
Dominica DMA 2021 4.561000
Dominican Republic DOM 2017 3.521000
Dominican Republic DOM 2018 3.608000
Dominican Republic DOM 2019 3.744000
Dominican Republic DOM 2020 3.884000
Dominican Republic DOM 2021 4.128000
East Asia & Pacific (WB) 2017 3.700000
East Asia & Pacific (WB) 2018 3.779000
East Asia & Pacific (WB) 2019 3.870000
East Asia & Pacific (WB) 2020 4.024000
East Asia & Pacific (WB) 2021 4.210000
Ecuador ECU 2017 2.788000
Ecuador ECU 2018 2.816000
Ecuador ECU 2019 2.861000
Ecuador ECU 2020 2.928000
Ecuador ECU 2021 3.035000
Egypt EGY 2017 3.457000
Egypt EGY 2018 3.507000
Egypt EGY 2019 3.503000
Egypt EGY 2020 3.369000
Egypt EGY 2021 3.506000
Equatorial Guinea GNQ 2017 3.526000
Equatorial Guinea GNQ 2018 3.599000
Equatorial Guinea GNQ 2019 3.635000
Equatorial Guinea GNQ 2020 3.676000
Equatorial Guinea GNQ 2021 3.751000
Estonia EST 2017 3.125000
Estonia EST 2018 3.188000
Estonia EST 2019 3.284000
Estonia EST 2020 3.350000
Estonia EST 2021 3.290000
Eswatini SWZ 2017 3.428000
Eswatini SWZ 2018 3.349000
Eswatini SWZ 2019 3.395000
Eswatini SWZ 2020 3.406000
Eswatini SWZ 2021 3.537000
Ethiopia ETH 2017 3.108000
Ethiopia ETH 2018 3.147000
Ethiopia ETH 2019 3.290000
Ethiopia ETH 2020 3.407000
Ethiopia ETH 2021 3.706000
Europe & Central Asia (WB) 2017 2.954000
Europe & Central Asia (WB) 2018 3.017000
Europe & Central Asia (WB) 2019 3.120000
Europe & Central Asia (WB) 2020 3.147000
Europe & Central Asia (WB) 2021 3.195000
Fiji FJI 2017 3.612000
Fiji FJI 2018 3.677000
Fiji FJI 2019 3.858000
Fiji FJI 2020 3.914000
Fiji FJI 2021 4.358000
Finland FIN 2017 2.545000
Finland FIN 2018 2.624000
Finland FIN 2019 2.704000
Finland FIN 2020 2.732000
Finland FIN 2021 2.716000
France FRA 2017 2.936000
France FRA 2018 3.019000
France FRA 2019 3.177000
France FRA 2020 3.238000
France FRA 2021 3.254000
Gabon GAB 2017 3.358000
Gabon GAB 2018 3.403000
Gabon GAB 2019 3.485000
Gabon GAB 2020 3.553000
Gabon GAB 2021 3.704000
Gambia GMB 2017 2.942000
Gambia GMB 2018 3.008000
Gambia GMB 2019 3.054000
Gambia GMB 2020 3.110000
Gambia GMB 2021 3.324000
Germany DEU 2017 2.786000
Germany DEU 2018 2.917000
Germany DEU 2019 2.984000
Germany DEU 2020 3.038000
Germany DEU 2021 3.082000
Ghana GHA 2017 3.767000
Ghana GHA 2018 3.860000
Ghana GHA 2019 3.942000
Ghana GHA 2020 4.036000
Ghana GHA 2021 4.237000
Greece GRC 2017 3.037000
Greece GRC 2018 3.102000
Greece GRC 2019 3.167000
Greece GRC 2020 3.140000
Greece GRC 2021 3.174000
Grenada GRD 2017 5.382000
Grenada GRD 2018 5.536000
Grenada GRD 2019 5.625000
Grenada GRD 2020 5.796000
Grenada GRD 2021 6.097000
Guinea GIN 2017 3.655000
Guinea GIN 2018 3.863000
Guinea GIN 2019 4.001000
Guinea GIN 2020 4.127000
Guinea GIN 2021 4.443000
Guinea-Bissau GNB 2017 3.164000
Guinea-Bissau GNB 2018 3.254000
Guinea-Bissau GNB 2019 3.335000
Guinea-Bissau GNB 2020 3.434000
Guinea-Bissau GNB 2021 3.694000
Guyana GUY 2017 4.629000
Guyana GUY 2018 4.742000
Guyana GUY 2019 4.828000
Guyana GUY 2020 4.887000
Guyana GUY 2021 5.117000
Haiti HTI 2017 3.930000
Haiti HTI 2018 4.075000
Haiti HTI 2019 4.275000
Haiti HTI 2020 4.490000
Haiti HTI 2021 4.814000
High-income countries 2017 3.152000
High-income countries 2018 3.210000
High-income countries 2019 3.294000
High-income countries 2020 3.363000
High-income countries 2021 3.432000
Honduras HND 2017 3.360000
Honduras HND 2018 3.415000
Honduras HND 2019 3.404000
Honduras HND 2020 3.486000
Honduras HND 2021 3.595000
Hong Kong HKG 2017 3.659000
Hong Kong HKG 2018 3.819000
Hong Kong HKG 2019 4.147000
Hong Kong HKG 2020 4.513000
Hong Kong HKG 2021 4.718000
Hungary HUN 2017 3.302000
Hungary HUN 2018 3.383000
Hungary HUN 2019 3.490000
Hungary HUN 2020 3.507000
Hungary HUN 2021 3.418000
Iceland ISL 2017 2.213000
Iceland ISL 2018 2.247000
Iceland ISL 2019 2.314000
Iceland ISL 2020 2.420000
Iceland ISL 2021 2.416000
India IND 2017 2.824000
India IND 2018 2.830000
India IND 2019 2.877000
India IND 2020 2.970000
India IND 2021 3.066000
Indonesia IDN 2017 4.129000
Indonesia IDN 2018 4.273000
Indonesia IDN 2019 4.268000
Indonesia IDN 2020 4.466000
Indonesia IDN 2021 4.729000
Iran IRN 2017 3.005000
Iran IRN 2018 3.212000
Iran IRN 2019 3.642000
Iran IRN 2020 3.605000
Iran IRN 2021 4.167000
Iraq IRQ 2017 3.378000
Iraq IRQ 2018 3.464000
Iraq IRQ 2019 3.534000
Iraq IRQ 2020 3.540000
Iraq IRQ 2021 3.665000
Ireland IRL 2017 2.397000
Ireland IRL 2018 2.341000
Ireland IRL 2019 2.340000
Ireland IRL 2020 2.204000
Ireland IRL 2021 2.150000
Israel ISR 2017 2.436000
Israel ISR 2018 2.500000
Israel ISR 2019 2.482000
Israel ISR 2020 2.473000
Israel ISR 2021 2.524000
Italy ITA 2017 2.885000
Italy ITA 2018 2.979000
Italy ITA 2019 3.121000
Italy ITA 2020 3.154000
Italy ITA 2021 3.168000
Jamaica JAM 2017 5.975000
Jamaica JAM 2018 6.141000
Jamaica JAM 2019 6.398000
Jamaica JAM 2020 6.681000
Jamaica JAM 2021 7.033000
Japan JPN 2017 5.529000
Japan JPN 2018 5.701000
Japan JPN 2019 5.565000
Japan JPN 2020 5.647000
Japan JPN 2021 5.638000
Jordan JOR 2017 3.412000
Jordan JOR 2018 3.454000
Jordan JOR 2019 3.500000
Jordan JOR 2020 3.614000
Jordan JOR 2021 3.737000
Kazakhstan KAZ 2017 2.391000
Kazakhstan KAZ 2018 2.426000
Kazakhstan KAZ 2019 2.537000
Kazakhstan KAZ 2020 2.657000
Kazakhstan KAZ 2021 2.852000
Kenya KEN 2017 2.846000
Kenya KEN 2018 2.823000
Kenya KEN 2019 2.907000
Kenya KEN 2020 2.968000
Kenya KEN 2021 3.189000
Kuwait KWT 2017 3.344000
Kuwait KWT 2018 3.407000
Kuwait KWT 2019 3.468000
Kuwait KWT 2020 3.606000
Kuwait KWT 2021 3.997000
Kyrgyzstan KGZ 2017 2.970000
Kyrgyzstan KGZ 2018 2.931000
Kyrgyzstan KGZ 2019 2.991000
Kyrgyzstan KGZ 2020 3.180000
Kyrgyzstan KGZ 2021 3.510000
Laos LAO 2017 3.776000
Laos LAO 2018 3.838000
Laos LAO 2019 3.959000
Laos LAO 2020 4.141000
Laos LAO 2021 4.305000
Latin America & Caribbean (WB) 2017 3.619000
Latin America & Caribbean (WB) 2018 3.693000
Latin America & Caribbean (WB) 2019 3.775000
Latin America & Caribbean (WB) 2020 3.876000
Latin America & Caribbean (WB) 2021 4.081000
Latvia LVA 2017 3.124000
Latvia LVA 2018 3.130000
Latvia LVA 2019 3.245000
Latvia LVA 2020 3.269000
Latvia LVA 2021 3.254000
Lesotho LSO 2017 3.770000
Lesotho LSO 2018 3.878000
Lesotho LSO 2019 4.010000
Lesotho LSO 2020 4.266000
Lesotho LSO 2021 4.618000
Liberia LBR 2017 4.018000
Liberia LBR 2018 4.031607
Liberia LBR 2019 3.852000
Liberia LBR 2020 3.907000
Liberia LBR 2021 4.447000
Lithuania LTU 2017 3.003000
Lithuania LTU 2018 3.042000
Lithuania LTU 2019 3.148000
Lithuania LTU 2020 3.132000
Lithuania LTU 2021 3.108000
Low-income countries 2017 3.084000
Low-income countries 2018 3.110000
Low-income countries 2019 3.138000
Low-income countries 2020 3.217000
Low-income countries 2021 3.369000
Lower-middle-income countries 2017 3.397000
Lower-middle-income countries 2018 3.478000
Lower-middle-income countries 2019 3.549000
Lower-middle-income countries 2020 3.652000
Lower-middle-income countries 2021 3.879000
Luxembourg LUX 2017 2.492000
Luxembourg LUX 2018 2.627000
Luxembourg LUX 2019 2.619000
Luxembourg LUX 2020 2.576000
Luxembourg LUX 2021 2.590000
Madagascar MDG 2017 2.987000
Madagascar MDG 2018 3.122000
Madagascar MDG 2019 3.154000
Madagascar MDG 2020 3.181000
Madagascar MDG 2021 3.382000
Malawi MWI 2017 2.724000
Malawi MWI 2018 2.809000
Malawi MWI 2019 2.989000
Malawi MWI 2020 3.149000
Malawi MWI 2021 3.365000
Malaysia MYS 2017 3.224000
Malaysia MYS 2018 3.319000
Malaysia MYS 2019 3.412000
Malaysia MYS 2020 3.538000
Malaysia MYS 2021 3.679000
Maldives MDV 2017 3.581000
Maldives MDV 2018 3.634000
Maldives MDV 2019 3.662000
Maldives MDV 2020 3.861000
Maldives MDV 2021 4.095000
Mali MLI 2017 2.900000
Mali MLI 2018 3.035000
Mali MLI 2019 2.960000
Mali MLI 2020 3.053000
Mali MLI 2021 3.230000
Malta MLT 2017 3.494000
Malta MLT 2018 3.645000
Malta MLT 2019 3.866000
Malta MLT 2020 3.824000
Malta MLT 2021 3.917000
Mauritania MRT 2017 3.451000
Mauritania MRT 2018 3.574000
Mauritania MRT 2019 3.654100
Mauritania MRT 2020 3.692100
Mauritania MRT 2021 3.948000
Mauritius MUS 2017 3.313000
Mauritius MUS 2018 3.396000
Mauritius MUS 2019 3.439000
Mauritius MUS 2020 3.604000
Mauritius MUS 2021 3.785000
Mexico MEX 2017 2.993000
Mexico MEX 2018 3.071000
Mexico MEX 2019 3.039000
Mexico MEX 2020 3.074000
Mexico MEX 2021 3.205000
Middle East & North Africa (WB) 2017 3.140000
Middle East & North Africa (WB) 2018 3.224000
Middle East & North Africa (WB) 2019 3.319000
Middle East & North Africa (WB) 2020 3.376000
Middle East & North Africa (WB) 2021 3.554000
Moldova MDA 2017 2.460000
Moldova MDA 2018 2.571000
Moldova MDA 2019 2.687000
Moldova MDA 2020 2.814000
Moldova MDA 2021 2.998000
Mongolia MNG 2017 4.544000
Mongolia MNG 2018 4.666000
Mongolia MNG 2019 4.900000
Mongolia MNG 2020 5.115000
Mongolia MNG 2021 5.676000
Montenegro MNE 2017 3.397000
Montenegro MNE 2018 3.428000
Montenegro MNE 2019 3.644000
Montenegro MNE 2020 3.511000
Montenegro MNE 2021 3.673000
Montserrat MSR 2017 4.883000
Morocco MAR 2017 2.710000
Morocco MAR 2018 2.752000
Morocco MAR 2019 2.759000
Morocco MAR 2020 2.797000
Morocco MAR 2021 2.905000
Mozambique MOZ 2017 3.031000
Mozambique MOZ 2018 2.988000
Mozambique MOZ 2019 3.057000
Mozambique MOZ 2020 3.228000
Mozambique MOZ 2021 3.548000
Myanmar MMR 2017 3.706000
Myanmar MMR 2018 3.786000
Myanmar MMR 2019 3.861000
Myanmar MMR 2020 3.925000
Myanmar MMR 2021 4.206000
Namibia NAM 2017 3.255000
Namibia NAM 2018 3.300000
Namibia NAM 2019 3.378000
Namibia NAM 2020 3.520000
Namibia NAM 2021 3.761000
Nepal NPL 2017 4.127000
Nepal NPL 2018 4.184000
Nepal NPL 2019 4.262000
Nepal NPL 2020 4.403000
Nepal NPL 2021 4.621000
Netherlands NLD 2017 2.743000
Netherlands NLD 2018 2.821000
Netherlands NLD 2019 2.932000
Netherlands NLD 2020 3.000000
Netherlands NLD 2021 2.963000
New Zealand NZL 2017 2.671000
New Zealand NZL 2018 2.589000
New Zealand NZL 2019 2.722000
New Zealand NZL 2020 2.817000
New Zealand NZL 2021 2.797000
Nicaragua NIC 2017 3.191000
Nicaragua NIC 2018 3.245000
Nicaragua NIC 2019 3.279000
Nicaragua NIC 2020 3.335000
Nicaragua NIC 2021 3.540000
Niger NER 2017 2.850000
Niger NER 2018 2.812000
Niger NER 2019 2.792000
Niger NER 2020 2.902000
Niger NER 2021 3.155000
Nigeria NGA 2017 3.565000
Nigeria NGA 2018 3.724000
Nigeria NGA 2019 3.870000
Nigeria NGA 2020 4.016000
Nigeria NGA 2021 4.325000
North America (WB) 2017 3.386000
North America (WB) 2018 3.313000
North America (WB) 2019 3.343000
North America (WB) 2020 3.373000
North America (WB) 2021 3.320000
North Macedonia MKD 2017 3.318000
North Macedonia MKD 2018 3.324000
North Macedonia MKD 2019 3.464000
North Macedonia MKD 2020 3.427000
North Macedonia MKD 2021 3.616000
Norway NOR 2017 3.325000
Norway NOR 2018 3.432000
Norway NOR 2019 3.479000
Norway NOR 2020 3.488000
Norway NOR 2021 3.361000
Oman OMN 2017 2.815000
Oman OMN 2018 2.838000
Oman OMN 2019 2.921000
Oman OMN 2020 3.021000
Oman OMN 2021 3.141000
Pakistan PAK 2017 3.408000
Pakistan PAK 2018 3.395000
Pakistan PAK 2019 3.460000
Pakistan PAK 2020 3.685000
Pakistan PAK 2021 3.893000
Palestine PSE 2017 3.342000
Palestine PSE 2018 3.398000
Palestine PSE 2019 3.493000
Palestine PSE 2020 3.356000
Palestine PSE 2021 3.285000
Panama PAN 2017 4.225000
Panama PAN 2018 4.268000
Panama PAN 2019 4.382000
Panama PAN 2020 4.476000
Panama PAN 2021 4.687000
Paraguay PRY 2017 3.430000
Paraguay PRY 2018 3.511000
Paraguay PRY 2019 3.519000
Paraguay PRY 2020 3.543000
Paraguay PRY 2021 3.867000
Peru PER 2017 3.084000
Peru PER 2018 3.062000
Peru PER 2019 3.098000
Peru PER 2020 3.133000
Peru PER 2021 3.334000
Philippines PHL 2017 3.843000
Philippines PHL 2018 3.995000
Philippines PHL 2019 4.054000
Philippines PHL 2020 4.118000
Philippines PHL 2021 4.364000
Poland POL 2017 2.909000
Poland POL 2018 2.986000
Poland POL 2019 3.162000
Poland POL 2020 3.210000
Poland POL 2021 3.155000
Portugal PRT 2017 2.513000
Portugal PRT 2018 2.596000
Portugal PRT 2019 2.673000
Portugal PRT 2020 2.642000
Portugal PRT 2021 2.651000
Qatar QAT 2017 2.375000
Qatar QAT 2018 2.426000
Qatar QAT 2019 2.484000
Qatar QAT 2020 2.577000
Qatar QAT 2021 2.708000
Romania ROU 2017 2.921000
Romania ROU 2018 2.970000
Romania ROU 2019 3.133000
Romania ROU 2020 3.207000
Romania ROU 2021 3.253000
Russia RUS 2017 3.149000
Russia RUS 2018 3.197000
Russia RUS 2019 3.264000
Russia RUS 2020 3.420000
Russia RUS 2021 3.678000
Rwanda RWA 2017 2.609000
Rwanda RWA 2018 2.483000
Rwanda RWA 2019 2.537000
Rwanda RWA 2020 2.698000
Rwanda RWA 2021 2.718000
Saint Kitts and Nevis KNA 2017 2.998000
Saint Kitts and Nevis KNA 2018 3.179000
Saint Kitts and Nevis KNA 2019 3.310000
Saint Kitts and Nevis KNA 2020 3.405000
Saint Kitts and Nevis KNA 2021 3.526000
Saint Lucia LCA 2017 3.263000
Saint Lucia LCA 2018 3.400000
Saint Lucia LCA 2019 3.517000
Saint Lucia LCA 2020 3.595000
Saint Lucia LCA 2021 3.673000
Saint Vincent and the Grenadines VCT 2017 4.131000
Saint Vincent and the Grenadines VCT 2018 4.232000
Saint Vincent and the Grenadines VCT 2019 4.293000
Saint Vincent and the Grenadines VCT 2020 4.454000
Saint Vincent and the Grenadines VCT 2021 4.697000
Sao Tome and Principe STP 2017 3.288000
Sao Tome and Principe STP 2018 3.394000
Sao Tome and Principe STP 2019 3.503000
Sao Tome and Principe STP 2020 3.634000
Sao Tome and Principe STP 2021 3.869000
Saudi Arabia SAU 2017 3.441000
Saudi Arabia SAU 2018 3.663000
Saudi Arabia SAU 2019 3.888000
Saudi Arabia SAU 2020 4.148000
Saudi Arabia SAU 2021 4.441000
Senegal SEN 2017 2.190000
Senegal SEN 2018 2.250000
Senegal SEN 2019 2.278000
Senegal SEN 2020 2.330000
Senegal SEN 2021 2.443000
Serbia SRB 2017 4.070000
Serbia SRB 2018 4.166000
Serbia SRB 2019 4.334000
Serbia SRB 2020 4.268000
Serbia SRB 2021 4.346000
Seychelles SYC 2017 4.010000
Seychelles SYC 2018 3.959000
Seychelles SYC 2019 3.948000
Seychelles SYC 2020 3.784000
Seychelles SYC 2021 4.131000
Sierra Leone SLE 2017 2.842000
Sierra Leone SLE 2018 2.952000
Sierra Leone SLE 2019 2.847000
Sierra Leone SLE 2020 2.893000
Sierra Leone SLE 2021 3.167000
Singapore SGP 2017 2.775000
Singapore SGP 2018 2.867000
Singapore SGP 2019 2.936000
Singapore SGP 2020 3.064000
Singapore SGP 2021 3.186000
Sint Maarten (Dutch part) SXM 2017 4.462000
Sint Maarten (Dutch part) SXM 2018 4.713000
Sint Maarten (Dutch part) SXM 2019 4.835000
Sint Maarten (Dutch part) SXM 2020 5.094000
Sint Maarten (Dutch part) SXM 2021 5.273000
Slovakia SVK 2017 3.013000
Slovakia SVK 2018 3.102000
Slovakia SVK 2019 3.242000
Slovakia SVK 2020 3.211000
Slovakia SVK 2021 3.198000
Slovenia SVN 2017 2.798000
Slovenia SVN 2018 2.902000
Slovenia SVN 2019 3.023000
Slovenia SVN 2020 3.095000
Slovenia SVN 2021 3.038000
South Africa ZAF 2017 4.102000
South Africa ZAF 2018 4.147000
South Africa ZAF 2019 4.199000
South Africa ZAF 2020 4.299000
South Africa ZAF 2021 4.565000
South Asia (WB) 2017 3.558000
South Asia (WB) 2018 3.615000
South Asia (WB) 2019 3.666000
South Asia (WB) 2020 3.847000
South Asia (WB) 2021 4.069000
South Korea KOR 2017 4.712000
South Korea KOR 2018 4.900000
South Korea KOR 2019 4.831000
South Korea KOR 2020 5.111000
South Korea KOR 2021 5.340000
Spain ESP 2017 2.699000
Spain ESP 2018 2.741000
Spain ESP 2019 2.845000
Spain ESP 2020 2.841000
Spain ESP 2021 2.879000
Sri Lanka LKA 2017 3.702000
Sri Lanka LKA 2018 3.705000
Sri Lanka LKA 2019 3.667000
Sri Lanka LKA 2020 3.923000
Sri Lanka LKA 2021 4.268000
Sub-Saharan Africa (WB) 2017 3.219000
Sub-Saharan Africa (WB) 2018 3.270000
Sub-Saharan Africa (WB) 2019 3.306000
Sub-Saharan Africa (WB) 2020 3.389000
Sub-Saharan Africa (WB) 2021 3.578000
Sudan SDN 2017 3.674000
Sudan SDN 2018 3.921000
Sudan SDN 2019 4.306000
Sudan SDN 2020 4.308000
Sudan SDN 2021 3.081000
Suriname SUR 2017 4.969000
Suriname SUR 2018 5.311000
Suriname SUR 2019 5.337000
Suriname SUR 2020 5.739000
Suriname SUR 2021 6.090000
Sweden SWE 2017 3.086000
Sweden SWE 2018 3.164000
Sweden SWE 2019 3.274000
Sweden SWE 2020 3.309000
Sweden SWE 2021 3.279000
Switzerland CHE 2017 2.523000
Switzerland CHE 2018 2.591000
Switzerland CHE 2019 2.654000
Switzerland CHE 2020 2.639000
Switzerland CHE 2021 2.619000
Taiwan TWN 2017 3.990000
Tajikistan TJK 2017 3.027000
Tajikistan TJK 2018 3.030000
Tajikistan TJK 2019 3.194000
Tajikistan TJK 2020 3.468000
Tajikistan TJK 2021 3.610000
Tanzania TZA 2017 2.598000
Tanzania TZA 2018 2.648000
Tanzania TZA 2019 2.681000
Tanzania TZA 2020 2.736000
Tanzania TZA 2021 2.866000
Thailand THA 2017 3.971000
Thailand THA 2018 4.042000
Thailand THA 2019 4.181000
Thailand THA 2020 4.321000
Thailand THA 2021 4.463000
Trinidad and Tobago TTO 2017 3.928000
Trinidad and Tobago TTO 2018 4.028000
Trinidad and Tobago TTO 2019 4.083000
Trinidad and Tobago TTO 2020 4.224000
Trinidad and Tobago TTO 2021 4.524000
Tunisia TUN 2017 3.476000
Tunisia TUN 2018 3.559000
Tunisia TUN 2019 3.628000
Tunisia TUN 2020 3.639000
Tunisia TUN 2021 3.833000
Turkey TUR 2017 2.873000
Turkey TUR 2018 2.997000
Turkey TUR 2019 3.189000
Turkey TUR 2020 2.997000
Turkey TUR 2021 3.109000
Turks and Caicos Islands TCA 2017 2.809000
Turks and Caicos Islands TCA 2018 2.893000
Turks and Caicos Islands TCA 2019 2.974000
Turks and Caicos Islands TCA 2020 3.075000
Turks and Caicos Islands TCA 2021 3.229000
Uganda UGA 2017 2.749000
Uganda UGA 2018 2.712000
Uganda UGA 2019 2.679000
Uganda UGA 2020 2.671000
Uganda UGA 2021 2.774000
United Arab Emirates ARE 2017 2.755000
United Arab Emirates ARE 2018 2.835000
United Arab Emirates ARE 2019 2.902000
United Arab Emirates ARE 2020 3.111000
United Arab Emirates ARE 2021 3.269000
United Kingdom GBR 2017 1.822000
United Kingdom GBR 2018 1.873000
United Kingdom GBR 2019 1.937000
United Kingdom GBR 2020 1.911000
United Kingdom GBR 2021 1.950000
United States USA 2017 3.225000
United States USA 2018 3.240000
United States USA 2019 3.268000
United States USA 2020 3.383000
United States USA 2021 3.500000
Upper-middle-income countries 2017 3.498000
Upper-middle-income countries 2018 3.555000
Upper-middle-income countries 2019 3.648000
Upper-middle-income countries 2020 3.721000
Upper-middle-income countries 2021 3.912000
Uruguay URY 2017 3.073000
Uruguay URY 2018 3.170000
Uruguay URY 2019 3.254000
Uruguay URY 2020 3.414000
Uruguay URY 2021 3.543000
Vietnam VNM 2017 3.586000
Vietnam VNM 2018 3.663000
Vietnam VNM 2019 3.776000
Vietnam VNM 2020 4.072000
Vietnam VNM 2021 4.216000
World OWID_WRL 2017 3.295000
World OWID_WRL 2018 3.355000
World OWID_WRL 2019 3.431000
World OWID_WRL 2020 3.511000
World OWID_WRL 2021 3.662000
Zambia ZMB 2017 3.085000
Zambia ZMB 2018 3.150000
Zambia ZMB 2019 3.245000
Zambia ZMB 2020 3.300000
Zambia ZMB 2021 3.616000
Zimbabwe ZWE 2017 2.199685
Entity Code Year Total.food.expenditure
Algeria DZA 2017 651.200000
Algeria DZA 2018 645.600000
Algeria DZA 2019 556.079500
Algeria DZA 2020 520.058900
Algeria DZA 2021 614.000800
Angola AGO 2017 1144.600000
Angola AGO 2018 893.600000
Angola AGO 2019 451.051900
Angola AGO 2020 513.129640
Angola AGO 2021 657.612900
Argentina ARG 2017 2715.900000
Argentina ARG 2018 2139.800000
Argentina ARG 2019 859.241000
Argentina ARG 2020 1090.921400
Argentina ARG 2021 1494.692500
Australia AUS 2017 3016.000000
Australia AUS 2018 3003.600000
Australia AUS 2019 2546.844700
Australia AUS 2020 2722.475600
Australia AUS 2021 3239.442400
Austria AUT 2017 2434.600000
Austria AUT 2018 2618.200000
Austria AUT 2019 2291.102000
Austria AUT 2020 2085.374000
Austria AUT 2021 2987.647000
Azerbaijan AZE 2017 943.700000
Azerbaijan AZE 2018 989.600000
Azerbaijan AZE 2019 1093.240100
Azerbaijan AZE 2020 1055.446400
Azerbaijan AZE 2021 1223.545200
Bahrain BHR 2017 1576.300000
Bahrain BHR 2018 1674.100000
Bahrain BHR 2019 1230.584500
Bahrain BHR 2020 1140.042500
Bahrain BHR 2021 1239.188400
Bangladesh BGD 2017 546.700000
Bangladesh BGD 2018 611.900000
Bangladesh BGD 2019 649.295350
Bangladesh BGD 2020 723.730900
Bangladesh BGD 2021 791.201230
Belarus BLR 2017 1025.400000
Belarus BLR 2018 1090.400000
Belarus BLR 2019 923.087160
Belarus BLR 2020 1014.710700
Belarus BLR 2021 1179.262500
Belgium BEL 2017 2834.200000
Belgium BEL 2018 3034.700000
Belgium BEL 2019 2694.369400
Belgium BEL 2020 2454.297900
Belgium BEL 2021 3260.380900
Bolivia BOL 2017 667.500000
Bolivia BOL 2018 696.300000
Bolivia BOL 2019 649.128700
Bolivia BOL 2020 602.911130
Bolivia BOL 2021 659.965300
Bosnia and Herzegovina BIH 2017 1282.700000
Bosnia and Herzegovina BIH 2018 1403.800000
Bosnia and Herzegovina BIH 2019 1227.274700
Bosnia and Herzegovina BIH 2020 1205.550200
Bosnia and Herzegovina BIH 2021 1421.529900
Brazil BRA 2017 954.600000
Brazil BRA 2018 866.300000
Brazil BRA 2019 599.636600
Brazil BRA 2020 655.794860
Brazil BRA 2021 722.072100
Bulgaria BGR 2017 1008.800000
Bulgaria BGR 2018 1172.100000
Bulgaria BGR 2019 1038.902000
Bulgaria BGR 2020 1123.282700
Bulgaria BGR 2021 1338.845800
Cambodia KHM 2017 468.900000
Cambodia KHM 2018 500.200000
Cambodia KHM 2019 495.767700
Cambodia KHM 2020 457.171780
Cambodia KHM 2021 546.450300
Cameroon CMR 2017 453.200000
Cameroon CMR 2018 501.300000
Cameroon CMR 2019 469.006770
Cameroon CMR 2020 456.219670
Cameroon CMR 2021 540.960800
Canada CAN 2017 2291.300000
Canada CAN 2018 2350.900000
Canada CAN 2019 2098.342000
Canada CAN 2020 2294.055200
Canada CAN 2021 2766.510500
Chile CHL 2017 1521.100000
Chile CHL 2018 1613.500000
Chile CHL 2019 1275.606100
Chile CHL 2020 1230.268300
Chile CHL 2021 1806.712400
China CHN 2017 737.000000
China CHN 2018 814.500000
China CHN 2019 743.215450
China CHN 2020 882.552600
China CHN 2021 933.802200
Colombia COL 2017 827.400000
Colombia COL 2018 869.200000
Colombia COL 2019 561.549870
Colombia COL 2020 555.183960
Colombia COL 2021 806.691600
Costa Rica CRI 2017 2109.100000
Costa Rica CRI 2018 2143.000000
Costa Rica CRI 2019 2220.019500
Costa Rica CRI 2020 2211.117000
Costa Rica CRI 2021 2656.432600
Cote d’Ivoire CIV 2017 424.200000
Cote d’Ivoire CIV 2018 452.900000
Cote d’Ivoire CIV 2019 598.856570
Cote d’Ivoire CIV 2020 592.971100
Cote d’Ivoire CIV 2021 673.489600
Croatia HRV 2017 2290.400000
Croatia HRV 2018 2564.700000
Croatia HRV 2019 1699.269200
Croatia HRV 2020 1762.252100
Croatia HRV 2021 2256.284000
Czechia CZE 2017 1610.700000
Czechia CZE 2018 1835.800000
Czechia CZE 2019 1568.246200
Czechia CZE 2020 1630.189500
Czechia CZE 2021 1947.299200
Denmark DNK 2017 3004.200000
Denmark DNK 2018 3220.000000
Denmark DNK 2019 2806.445600
Denmark DNK 2020 3019.407500
Denmark DNK 2021 3727.229000
Dominican Republic DOM 2017 1450.700000
Dominican Republic DOM 2018 1508.700000
Dominican Republic DOM 2019 1416.301000
Dominican Republic DOM 2020 1438.488400
Dominican Republic DOM 2021 1674.045500
Ecuador ECU 2017 995.200000
Ecuador ECU 2018 1015.600000
Ecuador ECU 2019 889.766900
Ecuador ECU 2020 814.787400
Ecuador ECU 2021 984.154540
Egypt EGY 2017 595.100000
Egypt EGY 2018 684.900000
Egypt EGY 2019 1025.601400
Egypt EGY 2020 1239.994800
Egypt EGY 2021 1369.136800
El Salvador SLV 2017 890.800000
El Salvador SLV 2018 922.200000
El Salvador SLV 2019 839.159550
El Salvador SLV 2020 742.206540
El Salvador SLV 2021 1034.889600
Estonia EST 2017 2069.700000
Estonia EST 2018 2317.700000
Estonia EST 2019 2075.140100
Estonia EST 2020 2199.599400
Estonia EST 2021 2621.398700
Ethiopia ETH 2017 254.900000
Ethiopia ETH 2018 257.400000
Ethiopia ETH 2019 174.161060
Ethiopia ETH 2020 233.756940
Ethiopia ETH 2021 244.731250
Finland FIN 2017 2736.700000
Finland FIN 2018 2908.700000
Finland FIN 2019 2563.415800
Finland FIN 2020 2809.491700
Finland FIN 2021 3137.761500
France FRA 2017 2786.400000
France FRA 2018 2983.400000
France FRA 2019 2658.652800
France FRA 2020 2846.276400
France FRA 2021 3234.394000
Georgia GEO 2017 876.900000
Georgia GEO 2018 922.500000
Georgia GEO 2019 1001.722200
Georgia GEO 2020 1138.663000
Georgia GEO 2021 1388.446900
Germany DEU 2017 2379.600000
Germany DEU 2018 2562.900000
Germany DEU 2019 2267.840000
Germany DEU 2020 2317.748800
Germany DEU 2021 2897.040800
Ghana GHA 2017 576.800000
Ghana GHA 2018 627.000000
Ghana GHA 2019 505.218300
Ghana GHA 2020 566.204830
Ghana GHA 2021 648.253850
Greece GRC 2017 2333.400000
Greece GRC 2018 2510.600000
Greece GRC 2019 2111.105200
Greece GRC 2020 2325.740200
Greece GRC 2021 2489.987300
Guatemala GTM 2017 1601.900000
Guatemala GTM 2018 1662.500000
Guatemala GTM 2019 1386.825400
Guatemala GTM 2020 1365.013700
Guatemala GTM 2021 1484.966200
Honduras HND 2017 614.300000
Honduras HND 2018 645.900000
Honduras HND 2019 507.023770
Honduras HND 2020 477.035600
Honduras HND 2021 712.101900
Hong Kong HKG 2017 4635.200000
Hong Kong HKG 2018 5002.200000
Hong Kong HKG 2019 4318.867700
Hong Kong HKG 2020 4181.516600
Hong Kong HKG 2021 3671.544700
Hungary HUN 2017 1306.800000
Hungary HUN 2018 1449.400000
Hungary HUN 2019 1170.920500
Hungary HUN 2020 1282.081300
Hungary HUN 2021 1596.845200
India IND 2017 355.200000
India IND 2018 372.200000
India IND 2019 337.504670
India IND 2020 325.864380
India IND 2021 446.472170
Indonesia IDN 2017 693.100000
Indonesia IDN 2018 696.500000
Indonesia IDN 2019 700.929260
Indonesia IDN 2020 693.173300
Indonesia IDN 2021 799.225040
Iran IRN 2017 761.400000
Iran IRN 2018 657.900000
Iran IRN 2019 846.140750
Iran IRN 2020 1109.270100
Iran IRN 2021 2188.112500
Iraq IRQ 2017 765.400000
Iraq IRQ 2018 739.500000
Iraq IRQ 2019 806.431640
Iraq IRQ 2020 759.771700
Iraq IRQ 2021 578.282500
Ireland IRL 2017 1972.900000
Ireland IRL 2018 2098.700000
Ireland IRL 2019 1778.837900
Ireland IRL 2020 1919.040500
Ireland IRL 2021 2147.791000
Israel ISR 2017 3501.600000
Israel ISR 2018 3611.800000
Israel ISR 2019 3373.918700
Israel ISR 2020 3008.407000
Israel ISR 2021 3996.604500
Italy ITA 2017 2806.600000
Italy ITA 2018 2986.900000
Italy ITA 2019 2710.358400
Italy ITA 2020 2820.447300
Italy ITA 2021 3168.329300
Japan JPN 2017 3304.700000
Japan JPN 2018 3417.500000
Japan JPN 2019 3116.243400
Japan JPN 2020 3038.463900
Japan JPN 2021 3458.905300
Jordan JOR 2017 1059.900000
Jordan JOR 2018 1091.100000
Jordan JOR 2019 790.911600
Jordan JOR 2020 783.233500
Jordan JOR 2021 926.489260
Kazakhstan KAZ 2017 2059.300000
Kazakhstan KAZ 2018 2144.300000
Kazakhstan KAZ 2019 2102.314200
Kazakhstan KAZ 2020 2217.433800
Kazakhstan KAZ 2021 2554.150100
Kenya KEN 2017 646.600000
Kenya KEN 2018 729.400000
Kenya KEN 2019 782.839230
Kenya KEN 2020 826.911700
Kenya KEN 2021 885.381600
Kuwait KWT 2017 1841.300000
Kuwait KWT 2018 1910.500000
Kuwait KWT 2019 1872.881300
Kuwait KWT 2020 1803.862200
Kuwait KWT 2021 1535.481000
Laos LAO 2017 831.600000
Laos LAO 2018 871.400000
Laos LAO 2019 836.816160
Laos LAO 2020 867.366400
Laos LAO 2021 875.598500
Latvia LVA 2017 1648.600000
Latvia LVA 2018 1820.800000
Latvia LVA 2019 1764.890600
Latvia LVA 2020 1816.655300
Latvia LVA 2021 2171.172900
Lebanon LBN 2017 1655.200000
Lebanon LBN 2018 1796.300000
Lebanon LBN 2019 248.769270
Lebanon LBN 2020 364.267330
Lebanon LBN 2021 602.093600
Lithuania LTU 2017 2269.200000
Lithuania LTU 2018 2521.100000
Lithuania LTU 2019 2251.408400
Lithuania LTU 2020 2692.436500
Lithuania LTU 2021 2885.609000
Malaysia MYS 2017 1224.600000
Malaysia MYS 2018 1410.700000
Malaysia MYS 2019 1443.270800
Malaysia MYS 2020 1526.127300
Malaysia MYS 2021 1736.908200
Mexico MEX 2017 1452.900000
Mexico MEX 2018 1499.900000
Mexico MEX 2019 1325.996000
Mexico MEX 2020 1361.807600
Mexico MEX 2021 1754.417400
Montenegro MNE 2017 1592.000000
Montenegro MNE 2018 1763.900000
Montenegro MNE 2019 1873.340100
Montenegro MNE 2020 1922.236700
Montenegro MNE 2021 2077.217500
Morocco MAR 2017 647.900000
Morocco MAR 2018 693.300000
Morocco MAR 2019 653.061400
Morocco MAR 2020 601.073200
Morocco MAR 2021 741.122300
Myanmar MMR 2017 437.800000
Myanmar MMR 2018 466.700000
Myanmar MMR 2019 490.219020
Myanmar MMR 2020 513.435000
Myanmar MMR 2021 501.601400
Netherlands NLD 2017 2416.500000
Netherlands NLD 2018 2621.000000
Netherlands NLD 2019 2404.728800
Netherlands NLD 2020 2481.732000
Netherlands NLD 2021 2933.042200
New Zealand NZL 2017 3286.900000
New Zealand NZL 2018 3277.800000
New Zealand NZL 2019 3137.819000
New Zealand NZL 2020 3241.865000
New Zealand NZL 2021 3483.367000
Nigeria NGA 2017 920.200000
Nigeria NGA 2018 1016.900000
Nigeria NGA 2019 850.267900
Nigeria NGA 2020 818.392330
Nigeria NGA 2021 748.615500
North Macedonia MKD 2017 1113.600000
North Macedonia MKD 2018 1218.900000
North Macedonia MKD 2019 1212.836900
North Macedonia MKD 2020 1185.875900
North Macedonia MKD 2021 1659.675000
Norway NOR 2017 3576.500000
Norway NOR 2018 3726.500000
Norway NOR 2019 2814.148400
Norway NOR 2020 2733.538300
Norway NOR 2021 4093.419000
Oman OMN 2017 1336.600000
Oman OMN 2018 1329.100000
Oman OMN 2019 1300.364300
Oman OMN 2020 1348.049200
Oman OMN 2021 1464.627100
Pakistan PAK 2017 495.600000
Pakistan PAK 2018 453.900000
Pakistan PAK 2019 324.497100
Pakistan PAK 2020 364.323730
Pakistan PAK 2021 383.906830
Panama PAN 2017 1378.300000
Panama PAN 2018 1405.800000
Panama PAN 2019 1230.877900
Panama PAN 2020 1037.313500
Panama PAN 2021 1244.616600
Paraguay PRY 2017 1176.500000
Paraguay PRY 2018 1208.300000
Paraguay PRY 2019 938.792300
Paraguay PRY 2020 901.070200
Paraguay PRY 2021 1124.078000
Peru PER 2017 1156.100000
Peru PER 2018 1190.100000
Peru PER 2019 1112.273200
Peru PER 2020 1020.237800
Peru PER 2021 1121.078600
Philippines PHL 2017 916.600000
Philippines PHL 2018 952.300000
Philippines PHL 2019 1002.008670
Philippines PHL 2020 945.543500
Philippines PHL 2021 995.618100
Poland POL 2017 1342.900000
Poland POL 2018 1480.300000
Poland POL 2019 1301.012000
Poland POL 2020 1516.381500
Poland POL 2021 1701.576200
Portugal PRT 2017 2428.000000
Portugal PRT 2018 2629.400000
Portugal PRT 2019 2449.082000
Portugal PRT 2020 2688.402800
Portugal PRT 2021 2698.979700
Qatar QAT 2017 1762.100000
Qatar QAT 2018 1755.700000
Qatar QAT 2019 1673.870700
Qatar QAT 2020 1543.279200
Qatar QAT 2021 1779.937600
Romania ROU 2017 1842.300000
Romania ROU 2018 2040.900000
Romania ROU 2019 1932.878500
Romania ROU 2020 2018.295800
Romania ROU 2021 2262.328900
Russia RUS 2017 1548.300000
Russia RUS 2018 1517.000000
Russia RUS 2019 1283.613600
Russia RUS 2020 1299.822600
Russia RUS 2021 1755.338600
Saudi Arabia SAU 2017 1648.700000
Saudi Arabia SAU 2018 1689.600000
Saudi Arabia SAU 2019 1741.504500
Saudi Arabia SAU 2020 1771.844000
Saudi Arabia SAU 2021 2054.249500
Serbia SRB 2017 1076.800000
Serbia SRB 2018 1225.900000
Serbia SRB 2019 1046.680000
Serbia SRB 2020 1143.704700
Serbia SRB 2021 1418.891400
Singapore SGP 2017 1443.500000
Singapore SGP 2018 1503.100000
Singapore SGP 2019 1385.394800
Singapore SGP 2020 1385.806900
Singapore SGP 2021 1893.409200
Slovakia SVK 2017 1724.800000
Slovakia SVK 2018 1925.600000
Slovakia SVK 2019 1757.331000
Slovakia SVK 2020 1916.908100
Slovakia SVK 2021 2355.955800
Slovenia SVN 2017 1896.400000
Slovenia SVN 2018 2063.300000
Slovenia SVN 2019 1811.944200
Slovenia SVN 2020 1828.013200
Slovenia SVN 2021 2331.823500
South Africa ZAF 2017 782.600000
South Africa ZAF 2018 828.100000
South Africa ZAF 2019 616.808040
South Africa ZAF 2020 597.011500
South Africa ZAF 2021 920.866700
South Korea KOR 2017 1832.100000
South Korea KOR 2018 1951.400000
South Korea KOR 2019 1543.989900
South Korea KOR 2020 1500.866100
South Korea KOR 2021 1986.039200
Spain ESP 2017 2059.500000
Spain ESP 2018 2217.900000
Spain ESP 2019 2057.658200
Spain ESP 2020 2158.375500
Spain ESP 2021 2275.315000
Sri Lanka LKA 2017 829.100000
Sri Lanka LKA 2018 822.500000
Sri Lanka LKA 2019 714.908140
Sri Lanka LKA 2020 779.899050
Sri Lanka LKA 2021 780.421900
Sweden SWE 2017 2878.200000
Sweden SWE 2018 2893.800000
Sweden SWE 2019 2588.658000
Sweden SWE 2020 2601.909200
Sweden SWE 2021 3268.224600
Switzerland CHE 2017 3840.000000
Switzerland CHE 2018 3908.800000
Switzerland CHE 2019 3662.396700
Switzerland CHE 2020 3970.205000
Switzerland CHE 2021 4313.358000
Taiwan TWN 2017 1791.300000
Taiwan TWN 2018 1857.800000
Taiwan TWN 2019 1673.372300
Taiwan TWN 2020 1658.621100
Taiwan TWN 2021 1808.974500
Tanzania TZA 2017 197.800000
Tanzania TZA 2018 205.800000
Tanzania TZA 2019 212.171600
Tanzania TZA 2020 226.049260
Tanzania TZA 2021 179.847030
Thailand THA 2017 914.600000
Thailand THA 2018 1012.100000
Thailand THA 2019 882.766500
Thailand THA 2020 966.944100
Thailand THA 2021 1027.713400
Tunisia TUN 2017 579.600000
Tunisia TUN 2018 570.000000
Tunisia TUN 2019 538.647900
Tunisia TUN 2020 505.571170
Tunisia TUN 2021 647.725650
Turkey TUR 2017 1389.200000
Turkey TUR 2018 1209.800000
Turkey TUR 2019 841.153600
Turkey TUR 2020 971.527040
Turkey TUR 2021 1478.812900
Turkmenistan TKM 2017 265.100000
Turkmenistan TKM 2018 297.500000
Turkmenistan TKM 2019 300.362670
Turkmenistan TKM 2020 309.226800
Turkmenistan TKM 2021 310.052120
Uganda UGA 2017 202.600000
Uganda UGA 2018 209.400000
Uganda UGA 2019 216.249270
Uganda UGA 2020 218.872240
Uganda UGA 2021 293.400570
Ukraine UKR 2017 715.600000
Ukraine UKR 2018 857.600000
Ukraine UKR 2019 874.298400
Ukraine UKR 2020 963.730700
Ukraine UKR 2021 1292.153900
United Arab Emirates ARE 2017 1889.400000
United Arab Emirates ARE 2018 1954.900000
United Arab Emirates ARE 2019 2003.570000
United Arab Emirates ARE 2020 1962.914200
United Arab Emirates ARE 2021 1961.736000
United Kingdom GBR 2017 2038.200000
United Kingdom GBR 2018 2168.200000
United Kingdom GBR 2019 1831.617400
United Kingdom GBR 2020 1951.078200
United Kingdom GBR 2021 2417.754200
United States USA 2017 2548.300000
United States USA 2018 2626.200000
United States USA 2019 2356.820300
United States USA 2020 2595.575200
United States USA 2021 3070.234000
Uruguay URY 2017 2187.200000
Uruguay URY 2018 2212.100000
Uruguay URY 2019 1526.631000
Uruguay URY 2020 1587.578100
Uruguay URY 2021 1950.606600
Uzbekistan UZB 2017 242.800000
Uzbekistan UZB 2018 186.800000
Uzbekistan UZB 2019 233.782600
Uzbekistan UZB 2020 264.329620
Uzbekistan UZB 2021 483.401820
Venezuela VEN 2017 288.600000
Venezuela VEN 2018 95.400000
Venezuela VEN 2019 1.608189
Venezuela VEN 2020 27.339750
Venezuela VEN 2021 46.672245
Vietnam VNM 2017 643.700000
Vietnam VNM 2018 692.100000
Vietnam VNM 2019 509.348600
Vietnam VNM 2020 533.453550
Vietnam VNM 2021 563.152340

Αρχικά συλλέγουμε τα στοιχεία για το 2021 από το ένα και το άλλο αρχείο, με τον τρόπο που μάθαμε Επιλογή στοιχείων πίνακα. Οπότε γράφουμε:

kostos2021 <- costHealthyDiet[costHealthyDiet$Year == 2021, ]
kost2021 <- kostos2021$Cost.of.a.healthy.diet
fagito2021 <- foodExpenditureYear[foodExpenditureYear$Year == 2021, ]
fag2021 <- fagito2021$Total.food.expenditure

Ακολούθως κάνουμε τα ιστογράμματα (βλ. ενότητα Ιστόγραμμα) για να οπτικοποιήσουμε τα δεδομένα μας:

hist(kost2021)

hist(fag2021)

Παρατηρούμε ότι το πρώτο ιστόγραμμα είναι λίγο πιο κεντραρισμένο, ενώ το δεύτερο θα λέγαμε ότι έχει μαζευτεί προς τ’ αριστερά. Αυτό σημαίνει ότι οι περισσότερες χώρες ξοδεύουν λίγα χρήματα ετησίως για φαγητό (ίσως επειδή δεν μπορούν, ίσως κι επειδή δεν έχουν), ενώ από την άλλη το κόστος του υγιεινού φαγητού είναι σχεδόν συμμετρικά απλωμένο γύρω από το μέσο κόστος. Πώς όμως θα μπορούσαμε να διαγνώσουμε αυτή τη συμμετρία και την ασυμμετρία χωρίς το ιστόγραμμα; Αυτή τη δουλειά την κάνει ο συντελεστής ασυμμετρίας του Pearson. Ας δούμε πώς μας βοηθάει να σχηματίσουμε άποψη:

Όσο εγγύτερα είναι ο συντελεστής ασυμμετρίας του Pearson στο 0, τόσο περισσότερο οι τιμές είναι συμμετρικά κατανεμημένες γύρω από τη μέση τιμή.

Αρνητικός συντελεστής ασυμμετρίας του Pearson σημαίνει ότι οι περισσότερες τιμές θα είναι μαζεμένες στα δεξιά και θα υπάρχει μια «ουρά» από σπάνιες τιμές στα αριστερά.

Θετικός συντελεστής ασυμμετρίας του Pearson σημαίνει ότι οι περισσότερες τιμές θα είναι μαζεμένες στα αριστερά και θα υπάρχει μια «ουρά» από σπάνιες τιμές στα δεξιά.

Πιο συγκεκριμένα, θεωρούμε ότι κοντά στο 0 είναι οι τιμές ±0.5, ±0.4, ±0.3, ±0.2, ±0.1 και, φυσικά, το 0. Αν τύχει κάποια από αυτές, τότε οι μετρήσεις μας έχουν συμμετρία. Διαφορετικά θα έχουν την ασυμμετρία που δηλώνει το πρόσημο και μάλιστα τόσο εντονότερη όσο περισσότερο απόμακρος είναι απ’ το 0 ο εν λόγω συντελεστής.

Στο σημείο αυτό θα πρέπει να επισημάνουμε ότι υπάρχουν διάφοροι συντελεστές ασυμμετρίας. Του Pearson, μάλιστα, είναι δύο. Όμως, αυτός για τον οποίο ισχύουν αυτά που είπαμε στην προηγούμενη παράγραφο είναι ένας συγκεκριμένος συντελεστής, που ή δεν υπάρχει διαθέσιμος στην R ή ο γράφων δεν τον έχει βρει. Έτσι, για να υπολογίσουμε τώρα στην R τον συντελεστή ασυμμετρίας του Pearson θα κατασκευάσουμε μια συνάρτηση ονόματι asimetriaP:

asimetriaP <- function(v){
  3*(mean(v)-median(v))/sd(v)
}

Ακολούθως, για να υπολογίσουμε του συντελεστές που θέλαμε, γράφουμε:

asimetriaP(kost2021)
## [1] 0.4683039
asimetriaP(fag2021)
## [1] 0.5745134

Οπότε μάς εξάγονται οι τιμές 0.4683039 και 0.5745134 αντίστοιχα, πράγμα που επιβεβαιώνει αυτά που διαπιστώναμε με τα μάτια μας από τα ιστογράμματα.

2 Γραφήματα

2.1 Ιστόγραμμα με θηκόγραμμα

Είδαμε στην προηγούμενη ενότητα ότι το ιστόγραμμα είναι μια καλή αφετηρία, για να δούμε γραφικά την ασυμμετρία που μπορεί να έχει ένα σύνολο δεδομένων. Θα ήταν πολύ πιο χρήσιμο, αν μαζί με αυτό υπήρχε κι ένα θηκόγραμμα (βλ. υποενότητα Θηκόγραμμα), που να δείχνει πού είναι συγκεντρωμένη η μεγάλη μάζα των δεδομένων. Προς τούτο θα χρειαστούμε το πακέτο packHV, οπότε γράφουμε:

if(!require(packHV)){
    install.packages("packHV")
    library(packHV)
}
## Loading required package: packHV
## Loading required package: survival
## 
## Attaching package: 'packHV'
## The following object is masked from 'package:rstatix':
## 
##     desc

Ακολούθως, για να σχηματίσουμε να επιθυμητά ιστογράμματα-θηκογράμματα, γράφουμε:

hist_boxplot(kost2021)

hist_boxplot(fag2021)

Παρατηρώντας τα απομονωμένα σημεία (βλ. υποενότητα Απομονωμένα σημεία) αλλά και την όχι κεντραρισμένη γραμμή της διαμέσου (βλ.ενότητα Διάμεσος) βλέπουμε λιγάκι πιο καθαρά τώρα ότι τα ημερήσια κόστη είναι σχεδόν συμμετρικά κατανεμημένα γύρω από τη μέση τιμή, αλλά στην πραγματικότητα όχι τόσο, όσο πιστεύαμε ενδεχομένως μόνο από το ιστόγραμμα. Στα δε ετήσια κόστη φαίνεται η ασυμμετρία ακόμα καθαρότερα παρατηρώντας από το θηκόγραμμα ότι το κεντρικό 50% των δεδομένων μας βρίσκεται κοντά στις μικρές τιμές.

2.2 Γράφημα ασυμμετρίας

Η αλήθεια είναι ότι ένα νούμερο δεν μπορεί να αποτυπώσει αξιόπιστα την όποια ασυμμετρία. Εξ ου και υπάρχουν διάφοροι συντελεστές ασυμμετρίας. Εξ ου και ανατρέχουμε στα γραφήματα. Ένα γράφημα φτιαγμένο γι’ αυτήν ακριβώς τη δουλειά είναι το γράφημα ασυμμετρίας. Το εν λόγω γράφημα αντιστοιχεί:

  • τη μέγιστη απόσταση από τη διάμεσο των στοιχείων που είναι μικρότερα αυτής, στη μέγιστη απόσταση από τη διάμεσο των στοιχείων που είναι μεγαλύτερα αυτής,

  • την αμέσως επόμενη σε μέγεθος απόσταση από τη διάμεσο των στοιχείων που είναι μικρότερα αυτής, στην αμέσως επόμενη σε μέγεθος απόσταση από τη διάμεσο των στοιχείων που είναι μεγαλύτερα αυτής,

  • κ.ο.κ.

Το γράφημα ασυμμετρίας μοιάζει πολύ με το γράφημα Q-Q, που θα δούμε πιο μετά, αλλά δεν είναι το ίδιο. Αυτό είναι εξειδικευμένο στο να ανιχνεύει τη συμμετρία, ενώ το Q-Q στο να ανιχνεύει αποκλίσεις από την κανονική ή άλλες κατανομές. Πάντως, και σ’ αυτή την περίπτωση, το «κλειδί» είναι να είναι το γράφημα σχεδόν ευθεία γραμμή. Άπαξ και είναι ευθεία γραμμή, τα δεδομένα μας είναι συμμετρικά.

Δυστυχώς, δεν υπάρχει έτοιμη συνάρτηση γι’ αυτό το σκοπό στην , οπότε θα φτιάξουμε εμείς μία, την graf_symmetrias:

graf_symmetrias <-  function(x)  {
  n = length(x)
  n2 = n %/% 2
  sx = sort(x)
  mx = median(x)
  plot(mx - sx[1:n2], rev(sx)[1:n2] - mx,
       xlab = "Distance Below Median",
       ylab = "Distance Above Median")
  abline(a = 0, b = 1, lty = "dotted")
}

Και ας δρούμε πώς αυτή δρα στις διάφορες περιπτώσεις συμμετρίας ή ασυμμετρίας.

Επιστρέφουμε στο παράδειγμά μας και γράφουμε:

graf_symmetrias(kost2021)

graf_symmetrias(fag2021)

Παρατηρούμε πλέον καθαρά ότι δεν έχει συμμετρία κανένα από τα δύο σύνολα δεδομένων. Και πάλι, βέβαια, φαίνεται να είναι τα ημερήσια κόστη λίγο πιο κοντά στο να είναι συμμετρικά σε σχέση με ετήσια έξοδα, αλλά όπως και να ’χει η απόκλιση από τη συμμετρία είναι ηλίου φαεινότερη και στα δύο.

Όλος ο κώδικας είναι ο παρακάτω:

rm(list = ls())
kostos2021 <- costHealthyDiet[costHealthyDiet$Year == 2021, ]
kost2021 <- kostos2021$`Cost of a healthy diet`
fagito2021 <- foodExpenditureYear[foodExpenditureYear$Year == 2021, ]
fag2021 <- fagito2021$`Total food expenditure`
hist(kost2021)
hist(fag2021)
asimetriaP <- function(v){
  3*(mean(v)-median(v))/sd(v)
}
asimetriaP(kost2021)
asimetriaP(fag2021)
if(!require(packHV)){
    install.packages("packHV")
    library(packHV)
}
hist_boxplot(kost2021)
hist_boxplot(fag2021)
graf_symmetrias <-  function(x)  {
  n = length(x)
  n2 = n %/% 2
  sx = sort(x)
  mx = median(x)
  plot(mx - sx[1:n2], rev(sx)[1:n2] - mx,
       xlab = "Distance Below Median",
       ylab = "Distance Above Median")
  abline(a = 0, b = 1, lty = "dotted")
}
graf_symmetrias(kost2021)
graf_symmetrias(fag2021)