Relevace

Init

options(
  digits = 2
)

library(pacman)
p_load(kirkegaard, rms, ggeffects)

theme_set(theme_bw())

Data

HDI = read_csv("data/Human development index (HDI).csv", skip = 1) %>% 
  df_legalize_names() %>% 
  pivot_longer(
    cols = x1990:x2018,
    names_to = "year",
    values_to = "HDI"
  ) %>% 
  mutate(
    year = year %>% str_sub(start = 2) %>% as.numeric(),
    HDI = HDI %>% as.numeric()
  )
## Parsed with column specification:
## cols(
##   .default = col_character()
## )
## See spec(...) for full column specifications.
## Warning in function_list[[k]](value): NAs introduced by coercion

Time series

#plot
HDI %>% 
  filter(
    Country == c("China", "Denmark", "United States", "Japan")
  ) %>% 
  ggplot(aes(year, HDI, color = Country)) +
  geom_line() +
  ggtitle("China rises: HDI 1990-2018",
          "HDI = Human Development Index, composite score of expected lifespan, national income per capita, years of schooling")
## Warning: Removed 1 row(s) containing missing values (geom_path).

GG_save("figs/china_rise.png")
## Warning: Removed 1 row(s) containing missing values (geom_path).
#model countries
#same slope
all_fit_same_slope = ols(HDI ~ year + Country, data = HDI)
all_fit_same_slope
## Frequencies of Missing Values Due to Each Variable
##     HDI    year Country 
##     749       0       0 
## 
## Linear Regression Model
##  
##  ols(formula = HDI ~ year + Country, data = HDI)
##  
##  
##                    Model Likelihood    Discrimination    
##                          Ratio Test           Indexes    
##  Obs    5399    LR chi2    23072.59    R2       0.986    
##  sigma0.0197    d.f.            204    R2 adj   0.986    
##  d.f.   5194    Pr(> chi2)   0.0000    g        0.186    
##  
##  Residuals
##  
##         Min         1Q     Median         3Q        Max 
##  -0.1396942 -0.0105167  0.0006597  0.0102702  0.1025799 
##  
##  
##                                                                 Coef     S.E.  
##  Intercept                                                      -10.3118 0.0673
##  year                                                             0.0053 0.0000
##  Country=Albania                                                  0.3016 0.0052
##  Country=Algeria                                                  0.2782 0.0052
##  Country=Andorra                                                  0.4016 0.0058
##  Country=Angola                                                   0.0693 0.0057
##  Country=Antigua and Barbuda                                      0.3347 0.0064
##  Country=Arab States                                              0.2376 0.0052
##  Country=Argentina                                                0.3818 0.0052
##  Country=Armenia                                                  0.2831 0.0052
##  Country=Australia                                                0.5068 0.0052
##  Country=Austria                                                  0.4589 0.0052
##  Country=Azerbaijan                                               0.2815 0.0054
##  Country=Bahamas                                                  0.3696 0.0058
##  Country=Bahrain                                                  0.3940 0.0052
##  Country=Bangladesh                                               0.1014 0.0052
##  Country=Barbados                                                 0.3806 0.0052
##  Country=Belarus                                                  0.3325 0.0054
##  Country=Belgium                                                  0.4810 0.0052
##  Country=Belize                                                   0.2678 0.0052
##  Country=Benin                                                    0.0349 0.0052
##  Country=Bhutan                                                   0.1378 0.0064
##  Country=Bolivia (Plurinational State of)                         0.2282 0.0052
##  Country=Bosnia and Herzegovina                                   0.2959 0.0058
##  Country=Botswana                                                 0.2251 0.0052
##  Country=Brazil                                                   0.2978 0.0052
##  Country=Brunei Darussalam                                        0.4169 0.0052
##  Country=Bulgaria                                                 0.3474 0.0052
##  Country=Burkina Faso                                            -0.0636 0.0058
##  Country=Burundi                                                 -0.0531 0.0052
##  Country=Cabo Verde                                               0.1903 0.0058
##  Country=Cambodia                                                 0.0762 0.0052
##  Country=Cameroon                                                 0.0788 0.0052
##  Country=Canada                                                   0.4858 0.0052
##  Country=Central African Republic                                -0.0681 0.0052
##  Country=Chad                                                    -0.0650 0.0058
##  Country=Chile                                                    0.3796 0.0052
##  Country=China                                                    0.2368 0.0052
##  Country=Colombia                                                 0.2888 0.0052
##  Country=Comoros                                                  0.0791 0.0058
##  Country=Congo                                                    0.1398 0.0052
##  Country=Congo (Democratic Republic of the)                      -0.0173 0.0052
##  Country=Costa Rica                                               0.3305 0.0052
##  Country=Côte d'Ivoire                                            0.0351 0.0052
##  Country=Croatia                                                  0.3670 0.0052
##  Country=Cuba                                                     0.3221 0.0052
##  Country=Cyprus                                                   0.4200 0.0052
##  Country=Czechia                                                  0.4192 0.0052
##  Country=Denmark                                                  0.4822 0.0052
##  Country=Developing Countries                                     0.2021 0.0052
##  Country=Djibouti                                                 0.0061 0.0054
##  Country=Dominica                                                 0.2925 0.0058
##  Country=Dominican Republic                                       0.2723 0.0052
##  Country=East Asia and the Pacific                                0.2359 0.0052
##  Country=Ecuador                                                  0.2986 0.0052
##  Country=Egypt                                                    0.2306 0.0052
##  Country=El Salvador                                              0.2201 0.0052
##  Country=Equatorial Guinea                                        0.1464 0.0058
##  Country=Eritrea                                                 -0.0090 0.0064
##  Country=Estonia                                                  0.4044 0.0052
##  Country=Eswatini (Kingdom of)                                    0.1189 0.0052
##  Country=Ethiopia                                                -0.0355 0.0058
##  Country=Europe and Central Asia                                  0.3024 0.0052
##  Country=Fiji                                                     0.2854 0.0052
##  Country=Finland                                                  0.4714 0.0052
##  Country=France                                                   0.4526 0.0052
##  Country=Gabon                                                    0.2500 0.0052
##  Country=Gambia                                                   0.0031 0.0052
##  Country=Georgia                                                  0.3039 0.0058
##  Country=Germany                                                  0.4863 0.0052
##  Country=Ghana                                                    0.1179 0.0052
##  Country=Greece                                                   0.4227 0.0052
##  Country=Grenada                                                  0.3120 0.0060
##  Country=Guatemala                                                0.1691 0.0052
##  Country=Guinea                                                  -0.0305 0.0052
##  Country=Guinea-Bissau                                           -0.0060 0.0064
##  Country=Guyana                                                   0.2160 0.0052
##  Country=Haiti                                                    0.0542 0.0052
##  Country=High human development                                   0.2619 0.0052
##  Country=Honduras                                                 0.1713 0.0052
##  Country=Hong Kong, China (SAR)                                   0.4629 0.0052
##  Country=Hungary                                                  0.3880 0.0052
##  Country=Iceland                                                  0.4780 0.0052
##  Country=India                                                    0.1358 0.0052
##  Country=Indonesia                                                0.2259 0.0052
##  Country=Iran (Islamic Republic of)                               0.3057 0.0052
##  Country=Iraq                                                     0.2220 0.0052
##  Country=Ireland                                                  0.4659 0.0052
##  Country=Israel                                                   0.4632 0.0052
##  Country=Italy                                                    0.4423 0.0052
##  Country=Jamaica                                                  0.2939 0.0052
##  Country=Japan                                                    0.4698 0.0052
##  Country=Jordan                                                   0.3045 0.0052
##  Country=Kazakhstan                                               0.3339 0.0052
##  Country=Kenya                                                    0.0973 0.0052
##  Country=Kiribati                                                 0.1694 0.0058
##  Country=Korea (Republic of)                                      0.4381 0.0052
##  Country=Kuwait                                                   0.3752 0.0052
##  Country=Kyrgyzstan                                               0.2204 0.0052
##  Country=Lao People's Democratic Republic                         0.1025 0.0052
##  Country=Latin America and the Caribbean                          0.3030 0.0052
##  Country=Latvia                                                   0.3685 0.0052
##  Country=Least Developed Countries                                0.0368 0.0052
##  Country=Lebanon                                                  0.2980 0.0064
##  Country=Lesotho                                                  0.0691 0.0052
##  Country=Liberia                                                  0.0138 0.0057
##  Country=Libya                                                    0.3218 0.0052
##  Country=Liechtenstein                                            0.4717 0.0058
##  Country=Lithuania                                                0.3885 0.0052
##  Country=Low human development                                    0.0278 0.0052
##  Country=Luxembourg                                               0.4651 0.0052
##  Country=Madagascar                                               0.0683 0.0058
##  Country=Malawi                                                  -0.0047 0.0052
##  Country=Malaysia                                                 0.3365 0.0052
##  Country=Maldives                                                 0.2347 0.0054
##  Country=Mali                                                    -0.0571 0.0052
##  Country=Malta                                                    0.4149 0.0052
##  Country=Marshall Islands                                         0.2265 0.0144
##  Country=Mauritania                                               0.0638 0.0052
##  Country=Mauritius                                                0.3098 0.0052
##  Country=Medium human development                                 0.1324 0.0052
##  Country=Mexico                                                   0.3182 0.0052
##  Country=Micronesia (Federated States of)                         0.1594 0.0058
##  Country=Moldova (Republic of)                                    0.2550 0.0052
##  Country=Mongolia                                                 0.2421 0.0052
##  Country=Montenegro                                               0.3538 0.0061
##  Country=Morocco                                                  0.1697 0.0052
##  Country=Mozambique                                              -0.0646 0.0052
##  Country=Myanmar                                                  0.0673 0.0052
##  Country=Namibia                                                  0.1830 0.0052
##  Country=Nepal                                                    0.0795 0.0052
##  Country=Netherlands                                              0.4903 0.0052
##  Country=New Zealand                                              0.4814 0.0052
##  Country=Nicaragua                                                0.1819 0.0052
##  Country=Niger                                                   -0.1137 0.0052
##  Country=Nigeria                                                  0.0641 0.0061
##  Country=North Macedonia                                          0.2968 0.0058
##  Country=Norway                                                   0.5196 0.0052
##  Country=Oman                                                     0.3541 0.0058
##  Country=Organization for Economic Co-operation and Development   0.4490 0.0052
##  Country=Pakistan                                                 0.0850 0.0052
##  Country=Palau                                                    0.3512 0.0058
##  Country=Palestine, State of                                      0.2351 0.0063
##  Country=Panama                                                   0.3344 0.0052
##  Country=Papua New Guinea                                         0.0667 0.0052
##  Country=Paraguay                                                 0.2631 0.0052
##  Country=Peru                                                     0.2943 0.0052
##  Country=Philippines                                              0.2510 0.0052
##  Country=Poland                                                   0.3996 0.0052
##  Country=Portugal                                                 0.3971 0.0052
##  Country=Qatar                                                    0.4218 0.0052
##  Country=Romania                                                  0.3485 0.0052
##  Country=Russian Federation                                       0.3554 0.0052
##  Country=Rwanda                                                  -0.0162 0.0052
##  Country=Saint Kitts and Nevis                                    0.3125 0.0064
##  Country=Saint Lucia                                              0.2937 0.0058
##  Country=Saint Vincent and the Grenadines                         0.2811 0.0058
##  Country=Samoa                                                    0.2619 0.0052
##  Country=Sao Tome and Principe                                    0.1134 0.0052
##  Country=Saudi Arabia                                             0.3772 0.0052
##  Country=Senegal                                                  0.0343 0.0052
##  Country=Serbia                                                   0.3391 0.0052
##  Country=Seychelles                                               0.3291 0.0058
##  Country=Sierra Leone                                            -0.0564 0.0052
##  Country=Singapore                                                0.4469 0.0052
##  Country=Slovakia                                                 0.3946 0.0052
##  Country=Slovenia                                                 0.4457 0.0052
##  Country=Small Island Developing States                           0.2652 0.0052
##  Country=Solomon Islands                                          0.0978 0.0057
##  Country=South Africa                                             0.2518 0.0052
##  Country=South Asia                                               0.1410 0.0052
##  Country=South Sudan                                             -0.0236 0.0075
##  Country=Spain                                                    0.4377 0.0052
##  Country=Sri Lanka                                                0.3107 0.0052
##  Country=Sub-Saharan Africa                                       0.0633 0.0052
##  Country=Sudan                                                    0.0297 0.0052
##  Country=Suriname                                                 0.2701 0.0063
##  Country=Sweden                                                   0.4929 0.0052
##  Country=Switzerland                                              0.4984 0.0052
##  Country=Syrian Arab Republic                                     0.1953 0.0052
##  Country=Tajikistan                                               0.1912 0.0052
##  Country=Tanzania (United Republic of)                            0.0395 0.0052
##  Country=Thailand                                                 0.2778 0.0052
##  Country=Timor-Leste                                              0.1530 0.0058
##  Country=Togo                                                     0.0475 0.0052
##  Country=Tonga                                                    0.2819 0.0052
##  Country=Trinidad and Tobago                                      0.3438 0.0052
##  Country=Tunisia                                                  0.2718 0.0052
##  Country=Turkey                                                   0.2918 0.0052
##  Country=Turkmenistan                                             0.2428 0.0075
##  Country=Uganda                                                   0.0237 0.0052
##  Country=Ukraine                                                  0.3095 0.0052
##  Country=United Arab Emirates                                     0.4017 0.0052
##  Country=United Kingdom                                           0.4741 0.0052
##  Country=United States                                            0.4936 0.0053
##  Country=Uruguay                                                  0.3554 0.0052
##  Country=Uzbekistan                                               0.2318 0.0058
##  Country=Vanuatu                                                  0.1470 0.0064
##  Country=Venezuela (Bolivarian Republic of)                       0.3085 0.0052
##  Country=Very high human development                              0.4404 0.0052
##  Country=Viet Nam                                                 0.2026 0.0052
##  Country=World                                                    0.2659 0.0052
##  Country=Yemen                                                    0.0557 0.0052
##  Country=Zambia                                                   0.0842 0.0052
##  Country=Zimbabwe                                                 0.0808 0.0052
##                                                                 t       Pr(>|t|)
##  Intercept                                                      -153.16 <0.0001 
##  year                                                            159.31 <0.0001 
##  Country=Albania                                                  58.22 <0.0001 
##  Country=Algeria                                                  53.72 <0.0001 
##  Country=Andorra                                                  68.96 <0.0001 
##  Country=Angola                                                   12.08 <0.0001 
##  Country=Antigua and Barbuda                                      52.11 <0.0001 
##  Country=Arab States                                              45.88 <0.0001 
##  Country=Argentina                                                73.72 <0.0001 
##  Country=Armenia                                                  54.66 <0.0001 
##  Country=Australia                                                97.85 <0.0001 
##  Country=Austria                                                  88.60 <0.0001 
##  Country=Azerbaijan                                               51.72 <0.0001 
##  Country=Bahamas                                                  63.47 <0.0001 
##  Country=Bahrain                                                  76.07 <0.0001 
##  Country=Bangladesh                                               19.58 <0.0001 
##  Country=Barbados                                                 73.49 <0.0001 
##  Country=Belarus                                                  61.09 <0.0001 
##  Country=Belgium                                                  92.86 <0.0001 
##  Country=Belize                                                   51.71 <0.0001 
##  Country=Benin                                                     6.73 <0.0001 
##  Country=Bhutan                                                   21.46 <0.0001 
##  Country=Bolivia (Plurinational State of)                         44.05 <0.0001 
##  Country=Bosnia and Herzegovina                                   50.80 <0.0001 
##  Country=Botswana                                                 43.45 <0.0001 
##  Country=Brazil                                                   57.49 <0.0001 
##  Country=Brunei Darussalam                                        80.49 <0.0001 
##  Country=Bulgaria                                                 67.07 <0.0001 
##  Country=Burkina Faso                                            -10.92 <0.0001 
##  Country=Burundi                                                 -10.25 <0.0001 
##  Country=Cabo Verde                                               32.67 <0.0001 
##  Country=Cambodia                                                 14.71 <0.0001 
##  Country=Cameroon                                                 15.21 <0.0001 
##  Country=Canada                                                   93.79 <0.0001 
##  Country=Central African Republic                                -13.16 <0.0001 
##  Country=Chad                                                    -11.17 <0.0001 
##  Country=Chile                                                    73.29 <0.0001 
##  Country=China                                                    45.71 <0.0001 
##  Country=Colombia                                                 55.76 <0.0001 
##  Country=Comoros                                                  13.58 <0.0001 
##  Country=Congo                                                    27.00 <0.0001 
##  Country=Congo (Democratic Republic of the)                       -3.35 0.0008  
##  Country=Costa Rica                                               63.81 <0.0001 
##  Country=Côte d'Ivoire                                             6.78 <0.0001 
##  Country=Croatia                                                  70.86 <0.0001 
##  Country=Cuba                                                     62.19 <0.0001 
##  Country=Cyprus                                                   81.10 <0.0001 
##  Country=Czechia                                                  80.94 <0.0001 
##  Country=Denmark                                                  93.11 <0.0001 
##  Country=Developing Countries                                     39.02 <0.0001 
##  Country=Djibouti                                                  1.12 0.2609  
##  Country=Dominica                                                 50.23 <0.0001 
##  Country=Dominican Republic                                       52.58 <0.0001 
##  Country=East Asia and the Pacific                                45.55 <0.0001 
##  Country=Ecuador                                                  57.64 <0.0001 
##  Country=Egypt                                                    44.52 <0.0001 
##  Country=El Salvador                                              42.49 <0.0001 
##  Country=Equatorial Guinea                                        25.14 <0.0001 
##  Country=Eritrea                                                  -1.40 0.1629  
##  Country=Estonia                                                  78.07 <0.0001 
##  Country=Eswatini (Kingdom of)                                    22.96 <0.0001 
##  Country=Ethiopia                                                 -6.09 <0.0001 
##  Country=Europe and Central Asia                                  58.39 <0.0001 
##  Country=Fiji                                                     55.10 <0.0001 
##  Country=Finland                                                  91.02 <0.0001 
##  Country=France                                                   87.38 <0.0001 
##  Country=Gabon                                                    48.27 <0.0001 
##  Country=Gambia                                                    0.59 0.5535  
##  Country=Georgia                                                  52.18 <0.0001 
##  Country=Germany                                                  93.90 <0.0001 
##  Country=Ghana                                                    22.76 <0.0001 
##  Country=Greece                                                   81.61 <0.0001 
##  Country=Grenada                                                  51.76 <0.0001 
##  Country=Guatemala                                                32.65 <0.0001 
##  Country=Guinea                                                   -5.89 <0.0001 
##  Country=Guinea-Bissau                                            -0.94 0.3474  
##  Country=Guyana                                                   41.70 <0.0001 
##  Country=Haiti                                                    10.46 <0.0001 
##  Country=High human development                                   50.56 <0.0001 
##  Country=Honduras                                                 33.07 <0.0001 
##  Country=Hong Kong, China (SAR)                                   89.38 <0.0001 
##  Country=Hungary                                                  74.91 <0.0001 
##  Country=Iceland                                                  92.29 <0.0001 
##  Country=India                                                    26.22 <0.0001 
##  Country=Indonesia                                                43.61 <0.0001 
##  Country=Iran (Islamic Republic of)                               59.03 <0.0001 
##  Country=Iraq                                                     42.87 <0.0001 
##  Country=Ireland                                                  89.96 <0.0001 
##  Country=Israel                                                   89.43 <0.0001 
##  Country=Italy                                                    85.40 <0.0001 
##  Country=Jamaica                                                  56.74 <0.0001 
##  Country=Japan                                                    90.70 <0.0001 
##  Country=Jordan                                                   58.79 <0.0001 
##  Country=Kazakhstan                                               64.47 <0.0001 
##  Country=Kenya                                                    18.78 <0.0001 
##  Country=Kiribati                                                 29.10 <0.0001 
##  Country=Korea (Republic of)                                      84.59 <0.0001 
##  Country=Kuwait                                                   72.44 <0.0001 
##  Country=Kyrgyzstan                                               42.56 <0.0001 
##  Country=Lao People's Democratic Republic                         19.79 <0.0001 
##  Country=Latin America and the Caribbean                          58.51 <0.0001 
##  Country=Latvia                                                   71.15 <0.0001 
##  Country=Least Developed Countries                                 7.10 <0.0001 
##  Country=Lebanon                                                  46.40 <0.0001 
##  Country=Lesotho                                                  13.34 <0.0001 
##  Country=Liberia                                                   2.41 0.0158  
##  Country=Libya                                                    62.12 <0.0001 
##  Country=Liechtenstein                                            80.99 <0.0001 
##  Country=Lithuania                                                75.01 <0.0001 
##  Country=Low human development                                     5.36 <0.0001 
##  Country=Luxembourg                                               89.81 <0.0001 
##  Country=Madagascar                                               11.73 <0.0001 
##  Country=Malawi                                                   -0.91 0.3618  
##  Country=Malaysia                                                 64.97 <0.0001 
##  Country=Maldives                                                 43.12 <0.0001 
##  Country=Mali                                                    -11.03 <0.0001 
##  Country=Malta                                                    80.10 <0.0001 
##  Country=Marshall Islands                                         15.70 <0.0001 
##  Country=Mauritania                                               12.32 <0.0001 
##  Country=Mauritius                                                59.82 <0.0001 
##  Country=Medium human development                                 25.57 <0.0001 
##  Country=Mexico                                                   61.44 <0.0001 
##  Country=Micronesia (Federated States of)                         27.37 <0.0001 
##  Country=Moldova (Republic of)                                    49.24 <0.0001 
##  Country=Mongolia                                                 46.75 <0.0001 
##  Country=Montenegro                                               57.57 <0.0001 
##  Country=Morocco                                                  32.76 <0.0001 
##  Country=Mozambique                                              -12.46 <0.0001 
##  Country=Myanmar                                                  13.00 <0.0001 
##  Country=Namibia                                                  35.33 <0.0001 
##  Country=Nepal                                                    15.35 <0.0001 
##  Country=Netherlands                                              94.66 <0.0001 
##  Country=New Zealand                                              92.95 <0.0001 
##  Country=Nicaragua                                                35.13 <0.0001 
##  Country=Niger                                                   -21.94 <0.0001 
##  Country=Nigeria                                                  10.44 <0.0001 
##  Country=North Macedonia                                          50.96 <0.0001 
##  Country=Norway                                                  100.32 <0.0001 
##  Country=Oman                                                     60.80 <0.0001 
##  Country=Organization for Economic Co-operation and Development   86.69 <0.0001 
##  Country=Pakistan                                                 16.41 <0.0001 
##  Country=Palau                                                    60.30 <0.0001 
##  Country=Palestine, State of                                      37.46 <0.0001 
##  Country=Panama                                                   64.56 <0.0001 
##  Country=Papua New Guinea                                         12.88 <0.0001 
##  Country=Paraguay                                                 50.80 <0.0001 
##  Country=Peru                                                     56.82 <0.0001 
##  Country=Philippines                                              48.46 <0.0001 
##  Country=Poland                                                   77.16 <0.0001 
##  Country=Portugal                                                 76.67 <0.0001 
##  Country=Qatar                                                    81.43 <0.0001 
##  Country=Romania                                                  67.29 <0.0001 
##  Country=Russian Federation                                       68.61 <0.0001 
##  Country=Rwanda                                                   -3.12 0.0018  
##  Country=Saint Kitts and Nevis                                    48.66 <0.0001 
##  Country=Saint Lucia                                              50.43 <0.0001 
##  Country=Saint Vincent and the Grenadines                         48.27 <0.0001 
##  Country=Samoa                                                    50.57 <0.0001 
##  Country=Sao Tome and Principe                                    21.90 <0.0001 
##  Country=Saudi Arabia                                             72.82 <0.0001 
##  Country=Senegal                                                   6.63 <0.0001 
##  Country=Serbia                                                   65.47 <0.0001 
##  Country=Seychelles                                               56.52 <0.0001 
##  Country=Sierra Leone                                            -10.89 <0.0001 
##  Country=Singapore                                                86.28 <0.0001 
##  Country=Slovakia                                                 76.19 <0.0001 
##  Country=Slovenia                                                 86.04 <0.0001 
##  Country=Small Island Developing States                           51.20 <0.0001 
##  Country=Solomon Islands                                          17.05 <0.0001 
##  Country=South Africa                                             48.62 <0.0001 
##  Country=South Asia                                               27.22 <0.0001 
##  Country=South Sudan                                              -3.14 0.0017  
##  Country=Spain                                                    84.51 <0.0001 
##  Country=Sri Lanka                                                59.99 <0.0001 
##  Country=Sub-Saharan Africa                                       12.22 <0.0001 
##  Country=Sudan                                                     5.74 <0.0001 
##  Country=Suriname                                                 43.03 <0.0001 
##  Country=Sweden                                                   95.16 <0.0001 
##  Country=Switzerland                                              96.22 <0.0001 
##  Country=Syrian Arab Republic                                     37.72 <0.0001 
##  Country=Tajikistan                                               36.92 <0.0001 
##  Country=Tanzania (United Republic of)                             7.63 <0.0001 
##  Country=Thailand                                                 53.64 <0.0001 
##  Country=Timor-Leste                                              26.28 <0.0001 
##  Country=Togo                                                      9.17 <0.0001 
##  Country=Tonga                                                    54.42 <0.0001 
##  Country=Trinidad and Tobago                                      66.38 <0.0001 
##  Country=Tunisia                                                  52.48 <0.0001 
##  Country=Turkey                                                   56.33 <0.0001 
##  Country=Turkmenistan                                             32.23 <0.0001 
##  Country=Uganda                                                    4.58 <0.0001 
##  Country=Ukraine                                                  59.75 <0.0001 
##  Country=United Arab Emirates                                     77.56 <0.0001 
##  Country=United Kingdom                                           91.53 <0.0001 
##  Country=United States                                            93.59 <0.0001 
##  Country=Uruguay                                                  68.61 <0.0001 
##  Country=Uzbekistan                                               39.81 <0.0001 
##  Country=Vanuatu                                                  22.89 <0.0001 
##  Country=Venezuela (Bolivarian Republic of)                       59.56 <0.0001 
##  Country=Very high human development                              85.04 <0.0001 
##  Country=Viet Nam                                                 39.11 <0.0001 
##  Country=World                                                    51.33 <0.0001 
##  Country=Yemen                                                    10.76 <0.0001 
##  Country=Zambia                                                   16.26 <0.0001 
##  Country=Zimbabwe                                                 15.59 <0.0001 
## 
all_fit_diff_slope = ols(HDI ~ year * Country, data = HDI)
all_fit_diff_slope
## Frequencies of Missing Values Due to Each Variable
##     HDI    year Country 
##     749       0       0 
## 
## Linear Regression Model
##  
##  ols(formula = HDI ~ year * Country, data = HDI)
##  
##  
##                    Model Likelihood    Discrimination    
##                          Ratio Test           Indexes    
##  Obs    5399    LR chi2    28616.63    R2       0.995    
##  sigma0.0120    d.f.            407    R2 adj   0.995    
##  d.f.   4991    Pr(> chi2)   0.0000    g        0.187    
##  
##  Residuals
##  
##         Min         1Q     Median         3Q        Max 
##  -7.514e-02 -5.201e-03  5.961e-05  5.334e-03  7.357e-02 
##  
##  
##                                                                        Coef    
##  Intercept                                                             -16.1233
##  year                                                                    0.0082
##  Country=Albania                                                         2.4220
##  Country=Algeria                                                         2.2526
##  Country=Andorra                                                         7.9412
##  Country=Angola                                                         -5.2142
##  Country=Antigua and Barbuda                                            18.0990
##  Country=Arab States                                                     5.3138
##  Country=Argentina                                                       7.3662
##  Country=Armenia                                                         3.7491
##  Country=Australia                                                      11.6710
##  Country=Austria                                                         7.8836
##  Country=Azerbaijan                                                      2.6463
##  Country=Bahamas                                                        15.2050
##  Country=Bahrain                                                        11.5631
##  Country=Bangladesh                                                      0.5437
##  Country=Barbados                                                       10.2723
##  Country=Belarus                                                         0.2581
##  Country=Belgium                                                         9.7862
##  Country=Belize                                                          8.3490
##  Country=Benin                                                           3.3153
##  Country=Bhutan                                                          0.3114
##  Country=Bolivia (Plurinational State of)                                5.8127
##  Country=Bosnia and Herzegovina                                          5.3647
##  Country=Botswana                                                        4.0040
##  Country=Brazil                                                          6.3107
##  Country=Brunei Darussalam                                              11.3204
##  Country=Bulgaria                                                        6.6763
##  Country=Burkina Faso                                                   -1.2367
##  Country=Burundi                                                         3.7841
##  Country=Cabo Verde                                                      6.5632
##  Country=Cambodia                                                       -0.2308
##  Country=Cameroon                                                        6.6308
##  Country=Canada                                                         11.5857
##  Country=Central African Republic                                       10.6439
##  Country=Chad                                                            3.0971
##  Country=Chile                                                           5.9869
##  Country=China                                                          -2.7149
##  Country=Colombia                                                        4.6719
##  Country=Comoros                                                         6.3392
##  Country=Congo                                                           9.5359
##  Country=Congo (Democratic Republic of the)                              7.9434
##  Country=Costa Rica                                                      6.8598
##  Country=Côte d'Ivoire                                                   7.6671
##  Country=Croatia                                                         3.3138
##  Country=Cuba                                                            6.1406
##  Country=Cyprus                                                          7.3639
##  Country=Czechia                                                         4.0629
##  Country=Denmark                                                         6.9701
##  Country=Developing Countries                                            3.6375
##  Country=Djibouti                                                        2.2278
##  Country=Dominica                                                       12.6114
##  Country=Dominican Republic                                              6.2004
##  Country=East Asia and the Pacific                                      -0.1017
##  Country=Ecuador                                                         7.7311
##  Country=Egypt                                                           5.3669
##  Country=El Salvador                                                     6.8787
##  Country=Equatorial Guinea                                               8.9301
##  Country=Eritrea                                                        15.1646
##  Country=Estonia                                                         3.4222
##  Country=Eswatini (Kingdom of)                                          12.4302
##  Country=Ethiopia                                                       -5.5473
##  Country=Europe and Central Asia                                         5.5918
##  Country=Fiji                                                           11.4278
##  Country=Finland                                                         6.3206
##  Country=France                                                          9.7914
##  Country=Gabon                                                          11.1279
##  Country=Gambia                                                          6.3152
##  Country=Georgia                                                         3.4096
##  Country=Germany                                                         6.7076
##  Country=Ghana                                                           5.5958
##  Country=Greece                                                          7.3656
##  Country=Grenada                                                        11.1559
##  Country=Guatemala                                                       3.8553
##  Country=Guinea                                                          2.1028
##  Country=Guinea-Bissau                                                   5.6582
##  Country=Guyana                                                          7.6308
##  Country=Haiti                                                           9.9103
##  Country=High human development                                          2.8246
##  Country=Honduras                                                        8.1142
##  Country=Hong Kong, China (SAR)                                          4.8678
##  Country=Hungary                                                         6.2874
##  Country=Iceland                                                         7.7003
##  Country=India                                                           0.5988
##  Country=Indonesia                                                       3.2664
##  Country=Iran (Islamic Republic of)                                      0.8003
##  Country=Iraq                                                            6.8145
##  Country=Ireland                                                         4.2844
##  Country=Israel                                                          9.0370
##  Country=Italy                                                           8.6805
##  Country=Jamaica                                                        10.2902
##  Country=Japan                                                          10.1127
##  Country=Jordan                                                         10.4953
##  Country=Kazakhstan                                                      4.9362
##  Country=Kenya                                                           6.5693
##  Country=Kiribati                                                       10.9939
##  Country=Korea (Republic of)                                             4.0444
##  Country=Kuwait                                                          9.2076
##  Country=Kyrgyzstan                                                      9.8682
##  Country=Lao People's Democratic Republic                                0.9574
##  Country=Latin America and the Caribbean                                 7.0910
##  Country=Latvia                                                          1.6242
##  Country=Least Developed Countries                                       2.2353
##  Country=Lebanon                                                        17.4964
##  Country=Lesotho                                                        14.9105
##  Country=Liberia                                                         8.2869
##  Country=Libya                                                          15.4870
##  Country=Liechtenstein                                                  10.9648
##  Country=Lithuania                                                       3.8970
##  Country=Low human development                                           3.4494
##  Country=Luxembourg                                                      8.6934
##  Country=Madagascar                                                      9.0530
##  Country=Malawi                                                          3.6834
##  Country=Malaysia                                                        5.5064
##  Country=Maldives                                                        2.4791
##  Country=Mali                                                            0.9706
##  Country=Malta                                                           6.2896
##  Country=Marshall Islands                                               12.7853
##  Country=Mauritania                                                      6.2831
##  Country=Mauritius                                                       3.3928
##  Country=Medium human development                                        1.7534
##  Country=Mexico                                                          8.2987
##  Country=Micronesia (Federated States of)                                8.8938
##  Country=Moldova (Republic of)                                           8.7163
##  Country=Mongolia                                                        1.0418
##  Country=Montenegro                                                      7.1948
##  Country=Morocco                                                        -0.0258
##  Country=Mozambique                                                     -1.5404
##  Country=Myanmar                                                        -0.8843
##  Country=Namibia                                                        11.9405
##  Country=Nepal                                                           1.6511
##  Country=Netherlands                                                     9.6238
##  Country=New Zealand                                                    10.1095
##  Country=Nicaragua                                                       4.6865
##  Country=Niger                                                           4.1184
##  Country=Nigeria                                                         5.3055
##  Country=North Macedonia                                                 6.1798
##  Country=Norway                                                         10.0026
##  Country=Oman                                                            1.8631
##  Country=Organization for Economic Co-operation and Development          8.8954
##  Country=Pakistan                                                        4.4395
##  Country=Palau                                                           7.5489
##  Country=Palestine, State of                                             9.3248
##  Country=Panama                                                          7.3217
##  Country=Papua New Guinea                                                4.2988
##  Country=Paraguay                                                        7.1468
##  Country=Peru                                                            6.1523
##  Country=Philippines                                                     7.8119
##  Country=Poland                                                          5.1520
##  Country=Portugal                                                        7.9096
##  Country=Qatar                                                          10.0429
##  Country=Romania                                                         5.3161
##  Country=Russian Federation                                              7.7425
##  Country=Rwanda                                                        -10.6384
##  Country=Saint Kitts and Nevis                                           6.9759
##  Country=Saint Lucia                                                    10.1701
##  Country=Saint Vincent and the Grenadines                               11.3136
##  Country=Samoa                                                           9.0450
##  Country=Sao Tome and Principe                                           3.8351
##  Country=Saudi Arabia                                                    4.4987
##  Country=Senegal                                                         4.9032
##  Country=Serbia                                                          8.4489
##  Country=Seychelles                                                      4.4534
##  Country=Sierra Leone                                                    1.6949
##  Country=Singapore                                                       0.5427
##  Country=Slovakia                                                        6.9042
##  Country=Slovenia                                                        7.4458
##  Country=Small Island Developing States                                  6.8350
##  Country=Solomon Islands                                                 7.3999
##  Country=South Africa                                                   12.0310
##  Country=South Asia                                                      1.7037
##  Country=South Sudan                                                    22.7948
##  Country=Spain                                                           7.6896
##  Country=Sri Lanka                                                       4.7491
##  Country=Sub-Saharan Africa                                              5.2076
##  Country=Sudan                                                           3.3378
##  Country=Suriname                                                        8.1244
##  Country=Sweden                                                          9.3667
##  Country=Switzerland                                                     8.0198
##  Country=Syrian Arab Republic                                           16.2066
##  Country=Tajikistan                                                      8.1065
##  Country=Tanzania (United Republic of)                                   3.2143
##  Country=Thailand                                                        2.8702
##  Country=Timor-Leste                                                     0.6259
##  Country=Togo                                                            8.1346
##  Country=Tonga                                                          12.2377
##  Country=Trinidad and Tobago                                             5.9678
##  Country=Tunisia                                                         3.9777
##  Country=Turkey                                                         -0.9304
##  Country=Turkmenistan                                                    7.3521
##  Country=Uganda                                                         -1.4334
##  Country=Ukraine                                                        10.5141
##  Country=United Arab Emirates                                            7.2360
##  Country=United Kingdom                                                  7.7625
##  Country=United States                                                  12.6531
##  Country=Uruguay                                                         8.2973
##  Country=Uzbekistan                                                      3.4785
##  Country=Vanuatu                                                        13.1367
##  Country=Venezuela (Bolivarian Republic of)                              7.0392
##  Country=Very high human development                                     8.3143
##  Country=Viet Nam                                                        0.8116
##  Country=World                                                           6.4259
##  Country=Yemen                                                           8.1201
##  Country=Zambia                                                          2.3370
##  Country=Zimbabwe                                                       12.1275
##  year * Country=Albania                                                 -0.0011
##  year * Country=Algeria                                                 -0.0010
##  year * Country=Andorra                                                 -0.0038
##  year * Country=Angola                                                   0.0026
##  year * Country=Antigua and Barbuda                                     -0.0088
##  year * Country=Arab States                                             -0.0025
##  year * Country=Argentina                                               -0.0035
##  year * Country=Armenia                                                 -0.0017
##  year * Country=Australia                                               -0.0056
##  year * Country=Austria                                                 -0.0037
##  year * Country=Azerbaijan                                              -0.0012
##  year * Country=Bahamas                                                 -0.0074
##  year * Country=Bahrain                                                 -0.0056
##  year * Country=Bangladesh                                              -0.0002
##  year * Country=Barbados                                                -0.0049
##  year * Country=Belarus                                                  0.0000
##  year * Country=Belgium                                                 -0.0046
##  year * Country=Belize                                                  -0.0040
##  year * Country=Benin                                                   -0.0016
##  year * Country=Bhutan                                                  -0.0001
##  year * Country=Bolivia (Plurinational State of)                        -0.0028
##  year * Country=Bosnia and Herzegovina                                  -0.0025
##  year * Country=Botswana                                                -0.0019
##  year * Country=Brazil                                                  -0.0030
##  year * Country=Brunei Darussalam                                       -0.0054
##  year * Country=Bulgaria                                                -0.0032
##  year * Country=Burkina Faso                                             0.0006
##  year * Country=Burundi                                                 -0.0019
##  year * Country=Cabo Verde                                              -0.0032
##  year * Country=Cambodia                                                 0.0002
##  year * Country=Cameroon                                                -0.0033
##  year * Country=Canada                                                  -0.0055
##  year * Country=Central African Republic                                -0.0053
##  year * Country=Chad                                                    -0.0016
##  year * Country=Chile                                                   -0.0028
##  year * Country=China                                                    0.0015
##  year * Country=Colombia                                                -0.0022
##  year * Country=Comoros                                                 -0.0031
##  year * Country=Congo                                                   -0.0047
##  year * Country=Congo (Democratic Republic of the)                      -0.0040
##  year * Country=Costa Rica                                              -0.0033
##  year * Country=Côte d'Ivoire                                           -0.0038
##  year * Country=Croatia                                                 -0.0015
##  year * Country=Cuba                                                    -0.0029
##  year * Country=Cyprus                                                  -0.0035
##  year * Country=Czechia                                                 -0.0018
##  year * Country=Denmark                                                 -0.0032
##  year * Country=Developing Countries                                    -0.0017
##  year * Country=Djibouti                                                -0.0011
##  year * Country=Dominica                                                -0.0061
##  year * Country=Dominican Republic                                      -0.0030
##  year * Country=East Asia and the Pacific                                0.0002
##  year * Country=Ecuador                                                 -0.0037
##  year * Country=Egypt                                                   -0.0026
##  year * Country=El Salvador                                             -0.0033
##  year * Country=Equatorial Guinea                                       -0.0044
##  year * Country=Eritrea                                                 -0.0076
##  year * Country=Estonia                                                 -0.0015
##  year * Country=Eswatini (Kingdom of)                                   -0.0061
##  year * Country=Ethiopia                                                 0.0027
##  year * Country=Europe and Central Asia                                 -0.0026
##  year * Country=Fiji                                                    -0.0056
##  year * Country=Finland                                                 -0.0029
##  year * Country=France                                                  -0.0047
##  year * Country=Gabon                                                   -0.0054
##  year * Country=Gambia                                                  -0.0031
##  year * Country=Georgia                                                 -0.0016
##  year * Country=Germany                                                 -0.0031
##  year * Country=Ghana                                                   -0.0027
##  year * Country=Greece                                                  -0.0035
##  year * Country=Grenada                                                 -0.0054
##  year * Country=Guatemala                                               -0.0018
##  year * Country=Guinea                                                  -0.0011
##  year * Country=Guinea-Bissau                                           -0.0028
##  year * Country=Guyana                                                  -0.0037
##  year * Country=Haiti                                                   -0.0049
##  year * Country=High human development                                  -0.0013
##  year * Country=Honduras                                                -0.0040
##  year * Country=Hong Kong, China (SAR)                                  -0.0022
##  year * Country=Hungary                                                 -0.0029
##  year * Country=Iceland                                                 -0.0036
##  year * Country=India                                                   -0.0002
##  year * Country=Indonesia                                               -0.0015
##  year * Country=Iran (Islamic Republic of)                              -0.0002
##  year * Country=Iraq                                                    -0.0033
##  year * Country=Ireland                                                 -0.0019
##  year * Country=Israel                                                  -0.0043
##  year * Country=Italy                                                   -0.0041
##  year * Country=Jamaica                                                 -0.0050
##  year * Country=Japan                                                   -0.0048
##  year * Country=Jordan                                                  -0.0051
##  year * Country=Kazakhstan                                              -0.0023
##  year * Country=Kenya                                                   -0.0032
##  year * Country=Kiribati                                                -0.0054
##  year * Country=Korea (Republic of)                                     -0.0018
##  year * Country=Kuwait                                                  -0.0044
##  year * Country=Kyrgyzstan                                              -0.0048
##  year * Country=Lao People's Democratic Republic                        -0.0004
##  year * Country=Latin America and the Caribbean                         -0.0034
##  year * Country=Latvia                                                  -0.0006
##  year * Country=Least Developed Countries                               -0.0011
##  year * Country=Lebanon                                                 -0.0086
##  year * Country=Lesotho                                                 -0.0074
##  year * Country=Liberia                                                 -0.0041
##  year * Country=Libya                                                   -0.0076
##  year * Country=Liechtenstein                                           -0.0052
##  year * Country=Lithuania                                               -0.0018
##  year * Country=Low human development                                   -0.0017
##  year * Country=Luxembourg                                              -0.0041
##  year * Country=Madagascar                                              -0.0045
##  year * Country=Malawi                                                  -0.0018
##  year * Country=Malaysia                                                -0.0026
##  year * Country=Maldives                                                -0.0011
##  year * Country=Mali                                                    -0.0005
##  year * Country=Malta                                                   -0.0029
##  year * Country=Marshall Islands                                        -0.0062
##  year * Country=Mauritania                                              -0.0031
##  year * Country=Mauritius                                               -0.0015
##  year * Country=Medium human development                                -0.0008
##  year * Country=Mexico                                                  -0.0040
##  year * Country=Micronesia (Federated States of)                        -0.0044
##  year * Country=Moldova (Republic of)                                   -0.0042
##  year * Country=Mongolia                                                -0.0004
##  year * Country=Montenegro                                              -0.0034
##  year * Country=Morocco                                                  0.0001
##  year * Country=Mozambique                                               0.0007
##  year * Country=Myanmar                                                  0.0005
##  year * Country=Namibia                                                 -0.0059
##  year * Country=Nepal                                                   -0.0008
##  year * Country=Netherlands                                             -0.0046
##  year * Country=New Zealand                                             -0.0048
##  year * Country=Nicaragua                                               -0.0022
##  year * Country=Niger                                                   -0.0021
##  year * Country=Nigeria                                                 -0.0026
##  year * Country=North Macedonia                                         -0.0029
##  year * Country=Norway                                                  -0.0047
##  year * Country=Oman                                                    -0.0008
##  year * Country=Organization for Economic Co-operation and Development  -0.0042
##  year * Country=Pakistan                                                -0.0022
##  year * Country=Palau                                                   -0.0036
##  year * Country=Palestine, State of                                     -0.0045
##  year * Country=Panama                                                  -0.0035
##  year * Country=Papua New Guinea                                        -0.0021
##  year * Country=Paraguay                                                -0.0034
##  year * Country=Peru                                                    -0.0029
##  year * Country=Philippines                                             -0.0038
##  year * Country=Poland                                                  -0.0024
##  year * Country=Portugal                                                -0.0037
##  year * Country=Qatar                                                   -0.0048
##  year * Country=Romania                                                 -0.0025
##  year * Country=Russian Federation                                      -0.0037
##  year * Country=Rwanda                                                   0.0053
##  year * Country=Saint Kitts and Nevis                                   -0.0033
##  year * Country=Saint Lucia                                             -0.0049
##  year * Country=Saint Vincent and the Grenadines                        -0.0055
##  year * Country=Samoa                                                   -0.0044
##  year * Country=Sao Tome and Principe                                   -0.0019
##  year * Country=Saudi Arabia                                            -0.0021
##  year * Country=Senegal                                                 -0.0024
##  year * Country=Serbia                                                  -0.0040
##  year * Country=Seychelles                                              -0.0021
##  year * Country=Sierra Leone                                            -0.0009
##  year * Country=Singapore                                                0.0000
##  year * Country=Slovakia                                                -0.0032
##  year * Country=Slovenia                                                -0.0035
##  year * Country=Small Island Developing States                          -0.0033
##  year * Country=Solomon Islands                                         -0.0036
##  year * Country=South Africa                                            -0.0059
##  year * Country=South Asia                                              -0.0008
##  year * Country=South Sudan                                             -0.0113
##  year * Country=Spain                                                   -0.0036
##  year * Country=Sri Lanka                                               -0.0022
##  year * Country=Sub-Saharan Africa                                      -0.0026
##  year * Country=Sudan                                                   -0.0017
##  year * Country=Suriname                                                -0.0039
##  year * Country=Sweden                                                  -0.0044
##  year * Country=Switzerland                                             -0.0038
##  year * Country=Syrian Arab Republic                                    -0.0080
##  year * Country=Tajikistan                                              -0.0039
##  year * Country=Tanzania (United Republic of)                           -0.0016
##  year * Country=Thailand                                                -0.0013
##  year * Country=Timor-Leste                                             -0.0002
##  year * Country=Togo                                                    -0.0040
##  year * Country=Tonga                                                   -0.0060
##  year * Country=Trinidad and Tobago                                     -0.0028
##  year * Country=Tunisia                                                 -0.0018
##  year * Country=Turkey                                                   0.0006
##  year * Country=Turkmenistan                                            -0.0035
##  year * Country=Uganda                                                   0.0007
##  year * Country=Ukraine                                                 -0.0051
##  year * Country=United Arab Emirates                                    -0.0034
##  year * Country=United Kingdom                                          -0.0036
##  year * Country=United States                                           -0.0061
##  year * Country=Uruguay                                                 -0.0040
##  year * Country=Uzbekistan                                              -0.0016
##  year * Country=Vanuatu                                                 -0.0065
##  year * Country=Venezuela (Bolivarian Republic of)                      -0.0034
##  year * Country=Very high human development                             -0.0039
##  year * Country=Viet Nam                                                -0.0003
##  year * Country=World                                                   -0.0031
##  year * Country=Yemen                                                   -0.0040
##  year * Country=Zambia                                                  -0.0011
##  year * Country=Zimbabwe                                                -0.0060
##                                                                        S.E.   
##  Intercept                                                              0.5355
##  year                                                                   0.0003
##  Country=Albania                                                        0.7574
##  Country=Algeria                                                        0.7574
##  Country=Andorra                                                        1.1460
##  Country=Angola                                                         1.0799
##  Country=Antigua and Barbuda                                            1.6927
##  Country=Arab States                                                    0.7574
##  Country=Argentina                                                      0.7574
##  Country=Armenia                                                        0.7574
##  Country=Australia                                                      0.7574
##  Country=Austria                                                        0.7574
##  Country=Azerbaijan                                                     0.8913
##  Country=Bahamas                                                        1.1460
##  Country=Bahrain                                                        0.7574
##  Country=Bangladesh                                                     0.7574
##  Country=Barbados                                                       0.7574
##  Country=Belarus                                                        0.8913
##  Country=Belgium                                                        0.7574
##  Country=Belize                                                         0.7574
##  Country=Benin                                                          0.7574
##  Country=Bhutan                                                         1.6927
##  Country=Bolivia (Plurinational State of)                               0.7574
##  Country=Bosnia and Herzegovina                                         1.1460
##  Country=Botswana                                                       0.7574
##  Country=Brazil                                                         0.7574
##  Country=Brunei Darussalam                                              0.7574
##  Country=Bulgaria                                                       0.7574
##  Country=Burkina Faso                                                   1.1460
##  Country=Burundi                                                        0.7574
##  Country=Cabo Verde                                                     1.1460
##  Country=Cambodia                                                       0.7574
##  Country=Cameroon                                                       0.7574
##  Country=Canada                                                         0.7574
##  Country=Central African Republic                                       0.7574
##  Country=Chad                                                           1.1460
##  Country=Chile                                                          0.7574
##  Country=China                                                          0.7574
##  Country=Colombia                                                       0.7574
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##  Country=Côte d'Ivoire                                                  0.7574
##  Country=Croatia                                                        0.7574
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##  Country=Cyprus                                                         0.7574
##  Country=Czechia                                                        0.7574
##  Country=Denmark                                                        0.7574
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##  Country=Djibouti                                                       0.8913
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##  Country=Eritrea                                                        1.6927
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##  Country=Ethiopia                                                       1.1460
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##  Country=Fiji                                                           0.7574
##  Country=Finland                                                        0.7574
##  Country=France                                                         0.7574
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##  Country=Gambia                                                         0.7574
##  Country=Georgia                                                        1.1460
##  Country=Germany                                                        0.7574
##  Country=Ghana                                                          0.7574
##  Country=Greece                                                         0.7574
##  Country=Grenada                                                        1.3124
##  Country=Guatemala                                                      0.7574
##  Country=Guinea                                                         0.7574
##  Country=Guinea-Bissau                                                  1.6927
##  Country=Guyana                                                         0.7574
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##  Country=Honduras                                                       0.7574
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##  Country=Hungary                                                        0.7574
##  Country=Iceland                                                        0.7574
##  Country=India                                                          0.7574
##  Country=Indonesia                                                      0.7574
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##  Country=Ireland                                                        0.7574
##  Country=Israel                                                         0.7574
##  Country=Italy                                                          0.7574
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##  Country=Kazakhstan                                                     0.7574
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##  Country=Kiribati                                                       1.1460
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##  Country=Lesotho                                                        0.7574
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##  Country=Spain                                                          0.7574
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##  year * Country=India                                                   0.0004
##  year * Country=Indonesia                                               0.0004
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##  year * Country=Israel                                                  0.0004
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##  year * Country=Kiribati                                                0.0006
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##  year * Country=Lebanon                                                 0.0008
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##  year * Country=Mali                                                    0.0004
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##  year * Country=Morocco                                                 0.0004
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##  year * Country=Portugal                                                0.0004
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##  year * Country=Russian Federation                                      0.0004
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##  year * Country=Small Island Developing States                          0.0004
##  year * Country=Solomon Islands                                         0.0005
##  year * Country=South Africa                                            0.0004
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##  year * Country=South Sudan                                             0.0016
##  year * Country=Spain                                                   0.0004
##  year * Country=Sri Lanka                                               0.0004
##  year * Country=Sub-Saharan Africa                                      0.0004
##  year * Country=Sudan                                                   0.0004
##  year * Country=Suriname                                                0.0008
##  year * Country=Sweden                                                  0.0004
##  year * Country=Switzerland                                             0.0004
##  year * Country=Syrian Arab Republic                                    0.0004
##  year * Country=Tajikistan                                              0.0004
##  year * Country=Tanzania (United Republic of)                           0.0004
##  year * Country=Thailand                                                0.0004
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##  year * Country=Togo                                                    0.0004
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##  year * Country=Uruguay                                                 0.0004
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##  year * Country=Vanuatu                                                 0.0008
##  year * Country=Venezuela (Bolivarian Republic of)                      0.0004
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##                                                                        t     
##  Intercept                                                             -30.11
##  year                                                                   30.85
##  Country=Albania                                                         3.20
##  Country=Algeria                                                         2.97
##  Country=Andorra                                                         6.93
##  Country=Angola                                                         -4.83
##  Country=Antigua and Barbuda                                            10.69
##  Country=Arab States                                                     7.02
##  Country=Argentina                                                       9.73
##  Country=Armenia                                                         4.95
##  Country=Australia                                                      15.41
##  Country=Austria                                                        10.41
##  Country=Azerbaijan                                                      2.97
##  Country=Bahamas                                                        13.27
##  Country=Bahrain                                                        15.27
##  Country=Bangladesh                                                      0.72
##  Country=Barbados                                                       13.56
##  Country=Belarus                                                         0.29
##  Country=Belgium                                                        12.92
##  Country=Belize                                                         11.02
##  Country=Benin                                                           4.38
##  Country=Bhutan                                                          0.18
##  Country=Bolivia (Plurinational State of)                                7.67
##  Country=Bosnia and Herzegovina                                          4.68
##  Country=Botswana                                                        5.29
##  Country=Brazil                                                          8.33
##  Country=Brunei Darussalam                                              14.95
##  Country=Bulgaria                                                        8.82
##  Country=Burkina Faso                                                   -1.08
##  Country=Burundi                                                         5.00
##  Country=Cabo Verde                                                      5.73
##  Country=Cambodia                                                       -0.30
##  Country=Cameroon                                                        8.75
##  Country=Canada                                                         15.30
##  Country=Central African Republic                                       14.05
##  Country=Chad                                                            2.70
##  Country=Chile                                                           7.90
##  Country=China                                                          -3.58
##  Country=Colombia                                                        6.17
##  Country=Comoros                                                         5.53
##  Country=Congo                                                          12.59
##  Country=Congo (Democratic Republic of the)                             10.49
##  Country=Costa Rica                                                      9.06
##  Country=Côte d'Ivoire                                                  10.12
##  Country=Croatia                                                         4.38
##  Country=Cuba                                                            8.11
##  Country=Cyprus                                                          9.72
##  Country=Czechia                                                         5.36
##  Country=Denmark                                                         9.20
##  Country=Developing Countries                                            4.80
##  Country=Djibouti                                                        2.50
##  Country=Dominica                                                       11.00
##  Country=Dominican Republic                                              8.19
##  Country=East Asia and the Pacific                                      -0.13
##  Country=Ecuador                                                        10.21
##  Country=Egypt                                                           7.09
##  Country=El Salvador                                                     9.08
##  Country=Equatorial Guinea                                               7.79
##  Country=Eritrea                                                         8.96
##  Country=Estonia                                                         4.52
##  Country=Eswatini (Kingdom of)                                          16.41
##  Country=Ethiopia                                                       -4.84
##  Country=Europe and Central Asia                                         7.38
##  Country=Fiji                                                           15.09
##  Country=Finland                                                         8.35
##  Country=France                                                         12.93
##  Country=Gabon                                                          14.69
##  Country=Gambia                                                          8.34
##  Country=Georgia                                                         2.98
##  Country=Germany                                                         8.86
##  Country=Ghana                                                           7.39
##  Country=Greece                                                          9.73
##  Country=Grenada                                                         8.50
##  Country=Guatemala                                                       5.09
##  Country=Guinea                                                          2.78
##  Country=Guinea-Bissau                                                   3.34
##  Country=Guyana                                                         10.08
##  Country=Haiti                                                          13.09
##  Country=High human development                                          3.73
##  Country=Honduras                                                       10.71
##  Country=Hong Kong, China (SAR)                                          6.43
##  Country=Hungary                                                         8.30
##  Country=Iceland                                                        10.17
##  Country=India                                                           0.79
##  Country=Indonesia                                                       4.31
##  Country=Iran (Islamic Republic of)                                      1.06
##  Country=Iraq                                                            9.00
##  Country=Ireland                                                         5.66
##  Country=Israel                                                         11.93
##  Country=Italy                                                          11.46
##  Country=Jamaica                                                        13.59
##  Country=Japan                                                          13.35
##  Country=Jordan                                                         13.86
##  Country=Kazakhstan                                                      6.52
##  Country=Kenya                                                           8.67
##  Country=Kiribati                                                        9.59
##  Country=Korea (Republic of)                                             5.34
##  Country=Kuwait                                                         12.16
##  Country=Kyrgyzstan                                                     13.03
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##  Country=Latin America and the Caribbean                                 9.36
##  Country=Latvia                                                          2.14
##  Country=Least Developed Countries                                       2.95
##  Country=Lebanon                                                        10.34
##  Country=Lesotho                                                        19.69
##  Country=Liberia                                                         7.67
##  Country=Libya                                                          20.45
##  Country=Liechtenstein                                                   9.57
##  Country=Lithuania                                                       5.15
##  Country=Low human development                                           4.55
##  Country=Luxembourg                                                     11.48
##  Country=Madagascar                                                      7.90
##  Country=Malawi                                                          4.86
##  Country=Malaysia                                                        7.27
##  Country=Maldives                                                        2.78
##  Country=Mali                                                            1.28
##  Country=Malta                                                           8.30
##  Country=Marshall Islands                                                0.37
##  Country=Mauritania                                                      8.30
##  Country=Mauritius                                                       4.48
##  Country=Medium human development                                        2.32
##  Country=Mexico                                                         10.96
##  Country=Micronesia (Federated States of)                                7.76
##  Country=Moldova (Republic of)                                          11.51
##  Country=Mongolia                                                        1.38
##  Country=Montenegro                                                      5.07
##  Country=Morocco                                                        -0.03
##  Country=Mozambique                                                     -2.03
##  Country=Myanmar                                                        -1.17
##  Country=Namibia                                                        15.77
##  Country=Nepal                                                           2.18
##  Country=Netherlands                                                    12.71
##  Country=New Zealand                                                    13.35
##  Country=Nicaragua                                                       6.19
##  Country=Niger                                                           5.44
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## 
#improved?
lrtest(all_fit_same_slope, all_fit_diff_slope) #yes
## 
## Model 1: HDI ~ year + Country
## Model 2: HDI ~ year * Country
## 
## L.R. Chisq       d.f.          P 
##       5544        203          0
#predict
preds = expand_grid(
  year = c(1990:2040) %>% as.numeric(),
  Country = c("China", "Denmark", "United States", "Japan") %>% factor(),
  pred = T
)
preds$HDI = predict(all_fit_same_slope, newdata = preds %>% as.data.frame())

#plot real and predicted values
bind_rows(
  preds,
  HDI %>% 
  filter(
    Country == c("China", "Denmark", "United States", "Japan")
  ) %>% mutate(
    pred = F
  )
) %>% 
  ggplot(aes(year, HDI, color = Country, linetype = pred)) +
  geom_line() +
  ggtitle("China rises: HDI 1990-2018",
          "HDI = Human Development Index, composite score of expected lifespan, national income per capita, years of schooling")
## Warning: Removed 1 row(s) containing missing values (geom_path).

GG_save("figs/china_rise_same_slope.png")
## Warning: Removed 1 row(s) containing missing values (geom_path).
#predict
preds = expand_grid(
  year = c(1990:2040) %>% as.numeric(),
  Country = c("China", "Denmark", "United States", "Japan") %>% factor(),
  pred = T
)
preds$HDI = predict(all_fit_diff_slope, newdata = preds %>% as.data.frame())

#plot real and predicted values
bind_rows(
  preds,
  HDI %>% 
  filter(
    Country == c("China", "Denmark", "United States", "Japan")
  ) %>% mutate(
    pred = F
  )
) %>% 
  ggplot(aes(year, HDI, color = Country, linetype = pred)) +
  geom_line() +
  ggtitle("China rises: HDI 1990-2018",
          "HDI = Human Development Index, composite score of expected lifespan, national income per capita, years of schooling")
## Warning: Removed 1 row(s) containing missing values (geom_path).

GG_save("figs/china_rise_diff_slope.png")
## Warning: Removed 1 row(s) containing missing values (geom_path).