Convert data to standardized form

employed_grouped <- employed %>%
    filter(!is.na(employ_n)) %>%
    group_by(occupation = paste(industry, minor_occupation), race_gender) %>%
    summarise(n = sum(employ_n)) %>%
    ungroup()
## `summarise()` has regrouped the output.
## ℹ Summaries were computed grouped by occupation and race_gender.
## ℹ Output is grouped by occupation.
## ℹ Use `summarise(.groups = "drop_last")` to silence this message.
## ℹ Use `summarise(.by = c(occupation, race_gender))` for per-operation grouping
##   (`?dplyr::dplyr_by`) instead.
employed_tidy <- employed_grouped %>%
    
    # Remove total category
    filter(race_gender != "TOTAL") %>%
    
    # Add total column
    left_join(employed_grouped %>%
                  filter(race_gender == "TOTAL") %>%
                  select(occupation, total = n)) %>%
    
    # Get pct in total
    mutate(pct = n / total) %>%
    
    # Remove outliers
    filter(total > 1000) %>%
    select(-n)
## Joining with `by = join_by(occupation)`
employed_tidy
## # A tibble: 1,160 × 4
##    occupation                                          race_gender  total    pct
##    <chr>                                               <chr>        <dbl>  <dbl>
##  1 Agriculture and related Construction and extractio… Asian       7.3 e4 0.0274
##  2 Agriculture and related Construction and extractio… Black or A… 7.3 e4 0.0822
##  3 Agriculture and related Construction and extractio… Men         7.3 e4 0.973 
##  4 Agriculture and related Construction and extractio… White       7.3 e4 0.863 
##  5 Agriculture and related Construction and extractio… Women       7.3 e4 0.0274
##  6 Agriculture and related Farming, fishing, and fore… Asian       5.74e6 0.0139
##  7 Agriculture and related Farming, fishing, and fore… Black or A… 5.74e6 0.0342
##  8 Agriculture and related Farming, fishing, and fore… Men         5.74e6 0.789 
##  9 Agriculture and related Farming, fishing, and fore… White       5.74e6 0.911 
## 10 Agriculture and related Farming, fishing, and fore… Women       5.74e6 0.211 
## # ℹ 1,150 more rows
employed_standard <- employed_tidy %>%
    
    # Standardize
    group_by(race_gender) %>%
    mutate(pct = pct %>% scale() %>% as.numeric()) %>%
    ungroup() %>%
    mutate(total = total %>% log() %>% scale() %>% as.numeric()) 

employed_standard
## # A tibble: 1,160 × 4
##    occupation                                          race_gender  total    pct
##    <chr>                                               <chr>        <dbl>  <dbl>
##  1 Agriculture and related Construction and extractio… Asian       -1.30  -0.539
##  2 Agriculture and related Construction and extractio… Black or A… -1.30  -0.405
##  3 Agriculture and related Construction and extractio… Men         -1.30   1.31 
##  4 Agriculture and related Construction and extractio… White       -1.30   0.725
##  5 Agriculture and related Construction and extractio… Women       -1.30  -1.30 
##  6 Agriculture and related Farming, fishing, and fore… Asian        0.819 -0.928
##  7 Agriculture and related Farming, fishing, and fore… Black or A…  0.819 -1.21 
##  8 Agriculture and related Farming, fishing, and fore… Men          0.819  0.510
##  9 Agriculture and related Farming, fishing, and fore… White        0.819  1.38 
## 10 Agriculture and related Farming, fishing, and fore… Women        0.819 -0.503
## # ℹ 1,150 more rows

Spread to object-characteristics format

occupation_demo_tbl <- employed_tidy %>%
    pivot_wider(names_from = race_gender, values_from = pct) %>%
    janitor::clean_names()

occupation_demo_tbl
## # A tibble: 232 × 7
##    occupation            total   asian black_or_african_ame…¹   men white  women
##    <chr>                 <dbl>   <dbl>                  <dbl> <dbl> <dbl>  <dbl>
##  1 Agriculture and rel… 7.3 e4 0.0274                 0.0822  0.973 0.863 0.0274
##  2 Agriculture and rel… 5.74e6 0.0139                 0.0342  0.789 0.911 0.211 
##  3 Agriculture and rel… 1.94e5 0.0155                 0.0309  0.985 0.918 0.0103
##  4 Agriculture and rel… 1.01e6 0.00992                0.00794 0.739 0.967 0.261 
##  5 Agriculture and rel… 5.22e6 0.00997                0.00882 0.741 0.962 0.259 
##  6 Agriculture and rel… 5.15e5 0.0233                 0.0155  0.159 0.938 0.841 
##  7 Agriculture and rel… 2.11e5 0.0332                 0.104   0.815 0.820 0.185 
##  8 Agriculture and rel… 2.95e5 0.0339                 0.0373  0.675 0.902 0.329 
##  9 Agriculture and rel… 8.80e4 0                      0.0682  0.864 0.875 0.136 
## 10 Agriculture and rel… 9.40e4 0                      0.0213  0.585 0.968 0.426 
## # ℹ 222 more rows
## # ℹ abbreviated name: ¹​black_or_african_american
occupation_cluster <- kmeans(occupation_demo_tbl %>% select(-occupation), centers = 3, nstart = 20)
summary(occupation_cluster)
##              Length Class  Mode   
## cluster      232    -none- numeric
## centers       18    -none- numeric
## totss          1    -none- numeric
## withinss       3    -none- numeric
## tot.withinss   1    -none- numeric
## betweenss      1    -none- numeric
## size           3    -none- numeric
## iter           1    -none- numeric
## ifault         1    -none- numeric
tidy(occupation_cluster)
## # A tibble: 3 × 9
##     total  asian black_or_african_ame…¹   men white women  size withinss cluster
##     <dbl>  <dbl>                  <dbl> <dbl> <dbl> <dbl> <int>    <dbl> <fct>  
## 1  1.80e6 0.0424                  0.104 0.693 0.816 0.305   198  8.13e14 1      
## 2  1.47e7 0.0684                  0.120 0.554 0.779 0.446    26  5.46e14 2      
## 3  5.41e7 0.0654                  0.124 0.533 0.774 0.467     8  4.86e15 3      
## # ℹ abbreviated name: ¹​black_or_african_american
glance(occupation_cluster)
## # A tibble: 1 × 4
##     totss tot.withinss betweenss  iter
##     <dbl>        <dbl>     <dbl> <int>
## 1 3.00e16      6.22e15   2.37e16     3
augment(occupation_cluster, occupation_demo_tbl) %>%
    
    ggplot(aes(total, asian, color = .cluster)) +
    geom_point()

Select optimal number of clusters

kclusts <- tibble(k = 1:9) %>%
    mutate(kclust = map(.x = k, .f = ~ kmeans(occupation_demo_tbl %>%
    select(-occupation), centers = .x, nstart = 20)),
    glanced = map(.x = kclust, .f = glance))

kclusts %>%
    unnest(glanced) %>%
    ggplot(aes(k, tot.withinss)) +
    geom_point() +
    geom_line()

final_cluster <- kmeans(occupation_demo_tbl %>% select(-occupation), centers = 5, nstart = 20)
augment(final_cluster, occupation_demo_tbl) %>%
    
    ggplot(aes(total, asian, color = .cluster)) +
    geom_point()

Reduce dimension using UMAP

umap_results <- occupation_demo_tbl %>%
    select(-occupation) %>%
    umap()

umap_results_tbl <- umap_results$layout %>%
    as.tibble() %>%
    bind_cols(occupation_demo_tbl %>% select(occupation))
## Warning: `as.tibble()` was deprecated in tibble 2.0.0.
## ℹ Please use `as_tibble()` instead.
## ℹ The signature and semantics have changed, see `?as_tibble`.
## This warning is displayed once per session.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## Warning: The `x` argument of `as_tibble.matrix()` must have unique column names if
## `.name_repair` is omitted as of tibble 2.0.0.
## ℹ Using compatibility `.name_repair`.
## ℹ The deprecated feature was likely used in the tibble package.
##   Please report the issue at <https://github.com/tidyverse/tibble/issues>.
## This warning is displayed once per session.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
umap_results_tbl
## # A tibble: 232 × 3
##        V1    V2 occupation                                                      
##     <dbl> <dbl> <chr>                                                           
##  1 -3.95  -8.90 Agriculture and related Construction and extraction occupations 
##  2 -1.97   7.07 Agriculture and related Farming, fishing, and forestry occupati…
##  3  0.284 -7.66 Agriculture and related Installation, maintenance, and repair o…
##  4  8.44  -1.82 Agriculture and related Manage-ment, business, and financial op…
##  5 -1.43   6.97 Agriculture and related Management, business, and financial ope…
##  6  3.73  -4.53 Agriculture and related Office and administrative support occup…
##  7  0.322 -7.30 Agriculture and related Production occupations                  
##  8  1.69  -6.20 Agriculture and related Professional and related occupations    
##  9 -3.79  -8.86 Agriculture and related Protective service occupations          
## 10 -3.44  -9.05 Agriculture and related Sales and related occupations           
## # ℹ 222 more rows
umap_results_tbl %>%
    ggplot(aes(V1, V2)) +
    geom_point()

Visualize clusters by adding k-means results

kmeans_umap_tbl <- final_cluster %>%
    augment(occupation_demo_tbl) %>%
    select(occupation, .cluster) %>%
    
    # Add umap results
    left_join(umap_results_tbl) %>%
    
    # Add employment info
    left_join(employed_tidy %>%
                  select(-total) %>%
                  pivot_wider(names_from = race_gender, values_from = pct) %>%
                  janitor::clean_names())
## Joining with `by = join_by(occupation)`
## Joining with `by = join_by(occupation)`
kmeans_umap_tbl
## # A tibble: 232 × 9
##    occupation   .cluster     V1    V2   asian black_or_african_ame…¹   men white
##    <chr>        <fct>     <dbl> <dbl>   <dbl>                  <dbl> <dbl> <dbl>
##  1 Agriculture… 4        -3.95  -8.90 0.0274                 0.0822  0.973 0.863
##  2 Agriculture… 1        -1.97   7.07 0.0139                 0.0342  0.789 0.911
##  3 Agriculture… 4         0.284 -7.66 0.0155                 0.0309  0.985 0.918
##  4 Agriculture… 4         8.44  -1.82 0.00992                0.00794 0.739 0.967
##  5 Agriculture… 1        -1.43   6.97 0.00997                0.00882 0.741 0.962
##  6 Agriculture… 4         3.73  -4.53 0.0233                 0.0155  0.159 0.938
##  7 Agriculture… 4         0.322 -7.30 0.0332                 0.104   0.815 0.820
##  8 Agriculture… 4         1.69  -6.20 0.0339                 0.0373  0.675 0.902
##  9 Agriculture… 4        -3.79  -8.86 0                      0.0682  0.864 0.875
## 10 Agriculture… 4        -3.44  -9.05 0                      0.0213  0.585 0.968
## # ℹ 222 more rows
## # ℹ abbreviated name: ¹​black_or_african_american
## # ℹ 1 more variable: women <dbl>
g <- kmeans_umap_tbl %>%
    
    # Create text label
    mutate(text_label = str_glue("Occupation: {occupation}
                                 Cluster:     {.cluster}
                                 Asian:       {asian %>% scales::percent(1)}
                                 Women:       {women %>% scales::percent(1)}")) %>%
    
    # Plot
    ggplot(aes(V1, V2, color = .cluster, text = text_label)) +
    geom_point()

g %>% ggplotly(tooltip = "text")