Ringkasan analisis: 32 skenario SAE — 2 metode seleksi aux (Backward vs Top-n/10) × 4 model (EBLUP, GLMM-Logit, EB Beta-Binomial, HB Beta) × 4 partisi (All, RSE Natural Break, RSE Equal Size, Cluster-Aux). Baseline: Direct Estimator.


1. Library & Cek Paket

Library

# Load urutan: MASS & car DULU, baru dplyr (cegah masking select/recode)
library(MASS)
library(car)
library(readxl)
library(dplyr)
library(tidyr)
library(ggplot2)
library(scales)
library(patchwork)
library(sae)        # mseFH
library(glmmTMB)    # GLMM binomial
library(classInt)   # Jenks Natural Breaks
library(factoextra)
library(knitr)
library(kableExtra)

# Ikat namespace kritis
select <- dplyr::select
recode <- dplyr::recode

Cek JAGS & saeHB

has_jags <- tryCatch({
  library(rjags); library(saeHB); TRUE
}, error = function(e) {
  message("saeHB/JAGS tidak tersedia — skenario HB Beta akan fallback ke direct.")
  FALSE
})
cat("Status JAGS/saeHB:", ifelse(has_jags, "Tersedia", "Tidak tersedia"), "\n")
## Status JAGS/saeHB: Tersedia

2. Load Data & Persiapan

Load Data

Estimasi_531  <- read_excel("C:/Users/User/Downloads/Hasil_Sulawesi_Kab2025.xlsx")
Podes_kab2024 <- read_excel("C:/Users/User/Downloads/Podes_kab_lengkap.xlsx")
Data_Penduduk <- read_excel("C:/Users/User/Downloads/Data_Penduduk.xlsx")

Estimasi_531  <- Estimasi_531  %>% mutate(Kako = sprintf("%04d", Kako))
Podes_kab2024 <- Podes_kab2024 %>% mutate(kode_kab = sprintf("%04s", kode_kab))

df_gabungan <- Estimasi_531 %>%
  left_join(Podes_kab2024, by = c("Kako" = "kode_kab")) %>%
  dplyr::select(Kako, Estimasi, RSE, starts_with("X"))

df_gabungan$Kako <- as.numeric(df_gabungan$Kako)
df_final <- df_gabungan %>% left_join(Data_Penduduk, by = "Kako")

cat("Jumlah domain:", nrow(df_final), "\n")
## Jumlah domain: 81
cat("Jumlah variabel:", ncol(df_final), "\n")
## Jumlah variabel: 118

Variabel Rasio

df_final <- df_final %>%
  mutate(
    X6  = X6_jumlah  / Jumlah_Penduduk * 1000,
    X7  = X7_jumlah  / Jumlah_Penduduk * 1000,
    X10 = X10_jumlah / Jumlah_Penduduk * 1000,
    X33 = X33_jumlah / Jumlah_Penduduk * 1000,
    X11 = X11_jumlah / Jumlah_P * 1000,
    X12 = X12_jumlah / Jumlah_P * 1000,
    X27 = X27_jumlah / Jumlah_P * 1000,
    X28 = X28_jumlah / Jumlah_P * 1000,
    X29 = X29_jumlah / Jumlah_P * 1000,
    X30 = X30_jumlah / Jumlah_P * 1000,
    X31 = X31_jumlah / Jumlah_P * 1000,
    X35 = X35_jumlah / Jumlah_P * 1000,
    X36 = X36_jumlah / Jumlah_P * 1000
  )

Pre-filter Kandidat Global

eps_logit <- 1e-4

df_base <- df_final %>%
  mutate(
    vardir  = (RSE / 100 * Estimasi)^2,
    y_prop  = pmax(pmin(Estimasi / 100, 1 - eps_logit), eps_logit),
    y_logit = log(y_prop / (1 - y_prop))
  ) %>%
  as.data.frame()

# ── Kandidat aux: HANYA kolom yang diawali "X" ───────────────────────────
# RSE_direct_col, grup_jenks, cluster_*, dll yang ditambahkan kemudian
# otomatis TIDAK masuk karena tidak berawalan X
kandidat_vars <- names(df_base)[startsWith(names(df_base), "X")]

# ── excl_always: otomatis semua kolom SELAIN X* ──────────────────────────
# Diupdate di setiap fungsi seleksi agar mencakup kolom baru yang
# ditambahkan setelah chunk ini (RSE_direct_col, grup_*, cluster_*)
excl_always <- setdiff(names(df_base), kandidat_vars)

cat("Variabel kandidat (", length(kandidat_vars), "):\n",
    paste(kandidat_vars, collapse = ", "), "\n")
## Variabel kandidat ( 125 ):
##  X1, X2, X8, X9, X13, X14, X15, X16, X17, X18, X19, X21, X22, X23, X24, X25, X26, X32, X37, X38, X39, X40, X41, X43, X44, X45, X1_jumlah, X1_mean, X2_jumlah, X2_mean, X8_jumlah, X8_mean, X9_jumlah, X9_mean, X13_jumlah, X13_mean, X14_jumlah, X14_mean, X15_jumlah, X15_mean, X16_jumlah, X16_mean, X17_jumlah, X17_mean, X18_jumlah, X18_mean, X19_jumlah, X19_mean, X21_jumlah, X21_mean, X22_jumlah, X22_mean, X23_jumlah, X23_mean, X24_jumlah, X24_mean, X25_jumlah, X25_mean, X26_jumlah, X26_mean, X32_jumlah, X32_mean, X34_jumlah, X34_mean, X37_jumlah, X37_mean, X38_jumlah, X38_mean, X39_jumlah, X39_mean, X40_jumlah, X40_mean, X41_jumlah, X41_mean, X43_jumlah, X43_mean, X44_jumlah, X44_mean, X45_jumlah, X45_mean, X6_jumlah, X6_mean, X7_jumlah, X7_mean, X10_jumlah, X10_mean, X11_jumlah, X11_mean, X12_jumlah, X12_mean, X27_jumlah, X27_mean, X28_jumlah, X28_mean, X29_jumlah, X29_mean, X30_jumlah, X30_mean, X31_jumlah, X31_mean, X33_jumlah, X33_mean, X35_jumlah, X35_mean, X36_jumlah, X36_mean, X46, X3, X4, X5, X47, X48, X6, X7, X10, X33, X11, X12, X27, X28, X29, X30, X31, X35, X36
cat("\nTotal dikecualikan:", length(excl_always), "kolom\n")
## 
## Total dikecualikan: 9 kolom

3. Fungsi Pembantu

Seleksi A1: Backward

# Helper: pilih 1 representatif terbaik per grup X (X19, X19_mean, X19_jumlah → 1)
# Pemilihan berdasarkan |cor| tertinggi ke y_col pada data segmen berjalan
pilih_per_grup <- function(df, kandidat, y_col) {
  get_base <- function(x) sub("(_jumlah|_mean)$", "", x)
  bases    <- unique(sapply(kandidat, get_base))
  terpilih <- c()
  for (b in bases) {
    anggota <- kandidat[get_base(kandidat) == b]
    if (length(anggota) == 1) { terpilih <- c(terpilih, anggota); next }
    cor_v   <- sapply(anggota, function(v)
      abs(cor(df[[v]], df[[y_col]], use = "complete.obs")))
    cor_v   <- cor_v[!is.na(cor_v)]
    if (length(cor_v) == 0) { terpilih <- c(terpilih, anggota[1]); next }
    terpilih <- c(terpilih, names(which.max(cor_v)))
  }
  unique(terpilih)
}

seleksi_backward <- function(df, y_col, excl_cols = NULL, r2_cap = 0.8) {
  if (is.null(excl_cols)) excl_cols <- names(df)[!startsWith(names(df), "X")]
  n_domain <- nrow(df)
  max_top  <- max(1L, floor(n_domain / 10L))

  keep <- sapply(df, function(x) length(unique(na.omit(x))) > 1)
  df   <- df[, keep]

  kandidat <- setdiff(names(df), excl_cols)
  kandidat <- kandidat[startsWith(kandidat, "X")]
  if (length(kandidat) == 0) return(character(0))

  # Pilih 1 representatif per grup X (sesuai y_col & data segmen ini)
  kandidat <- pilih_per_grup(df, kandidat, y_col)
  if (length(kandidat) == 0) return(character(0))

  cor_v <- sapply(df[kandidat], function(x)
    abs(cor(x, df[[y_col]], use = "complete.obs")))
  cor_v <- cor_v[!is.na(cor_v)]
  if (length(cor_v) == 0) return(character(0))
  vars  <- names(sort(cor_v, decreasing = TRUE))[1:min(max_top, length(cor_v))]
  vars  <- vars[!is.na(vars)]

  step_m <- try(stepAIC(
    lm(as.formula(paste(y_col, "~", paste(vars, collapse = "+"))), data = df),
    direction = "backward", trace = FALSE), silent = TRUE)
  if (!inherits(step_m, "try-error")) {
    sv <- names(coef(step_m))[-1]
    if (length(sv) > 0) vars <- sv
  }

  repeat {
    if (length(vars) <= 1) break
    m <- try(lm(as.formula(paste(y_col,"~",paste(vars,collapse="+"))),data=df),silent=TRUE)
    if (inherits(m,"try-error")) { vars <- vars[1]; break }
    v <- try(vif(m), silent=TRUE)
    if (inherits(v,"try-error")) break
    v_ok <- v[!is.na(v)]
    if (length(v_ok)==0 || all(v_ok<=10)) break
    vars <- vars[vars != names(which.max(v_ok))]
  }

  if (length(vars) > 1) {
    m <- lm(as.formula(paste(y_col,"~",paste(vars,collapse="+"))),data=df)
    if (summary(m)$r.squared > r2_cap) vars <- vars[1]
  }
  return(vars)
}

Seleksi A2: Top-n/10

seleksi_topn <- function(df, y_col, excl_cols = NULL, r2_cap = 0.8) {
  if (is.null(excl_cols)) excl_cols <- names(df)[!startsWith(names(df), "X")]
  n_domain <- nrow(df)
  max_top  <- min(max(1L, floor(n_domain / 10L)), 8L)

  keep <- sapply(df, function(x) length(unique(na.omit(x))) > 1)
  df   <- df[, keep]

  kandidat <- setdiff(names(df), excl_cols)
  kandidat <- kandidat[startsWith(kandidat, "X")]
  if (length(kandidat) == 0) return(character(0))

  # Pilih 1 representatif per grup X
  kandidat <- pilih_per_grup(df, kandidat, y_col)
  if (length(kandidat) == 0) return(character(0))

  cor_v <- sapply(df[kandidat], function(x)
    abs(cor(x, df[[y_col]], use = "complete.obs")))
  cor_v <- cor_v[!is.na(cor_v)]
  if (length(cor_v) == 0) return(character(0))
  vars  <- names(sort(cor_v, decreasing = TRUE))[1:min(max_top, length(cor_v))]
  vars  <- vars[!is.na(vars)]

  repeat {
    if (length(vars) <= 1) break
    m <- try(lm(as.formula(paste(y_col,"~",paste(vars,collapse="+"))),data=df),silent=TRUE)
    if (inherits(m,"try-error")) { vars <- vars[1]; break }
    v <- try(vif(m), silent=TRUE)
    if (inherits(v,"try-error")) break
    v_ok <- v[!is.na(v)]
    if (length(v_ok)==0 || all(v_ok<=10)) break
    vars <- vars[vars != names(which.max(v_ok))]
  }

  if (length(vars) > 1) {
    m <- lm(as.formula(paste(y_col,"~",paste(vars,collapse="+"))),data=df)
    if (summary(m)$r.squared > r2_cap) vars <- vars[1]
  }
  return(vars)
}

Model: EBLUP

run_eblup <- function(df, vars) {
  df$vardir <- pmax(df$vardir, 1e-10)

  # Trim ke kolom yang dibutuhkan mseFH saja (seperti pola SAE_Lengkap_Fixed2)
  # Kolom ekstra (grup_jenks, cluster_*, RSE_direct_col, dll) dikeluarkan
  # agar mseFH tidak terganggu
  df_m        <- df[, c("Estimasi", "vardir", vars), drop = FALSE]

  # Scale per kolom — lebih aman dari scale() bulk untuk kolom near-constant
  for (v in vars) {
    mu <- mean(df_m[[v]], na.rm = TRUE)
    sd <- sd(df_m[[v]],   na.rm = TRUE)
    df_m[[v]] <- if (is.na(sd) || sd == 0) 0 else (df_m[[v]] - mu) / sd
    df_m[[v]][is.na(df_m[[v]]) | is.nan(df_m[[v]])] <- 0
  }

  form <- as.formula(paste("Estimasi ~", paste(vars, collapse = "+")))
  m    <- try(mseFH(form, vardir = vardir, data = df_m), silent = TRUE)

  if (inherits(m, "try-error") || is.null(m$est) || is.null(m$mse)) {
    df$y_eblup <- df$Estimasi
    df$mse     <- df$vardir
  } else {
    ev  <- as.numeric(m$est$eblup)
    mv  <- as.numeric(m$mse)
    # Per-domain fallback: domain NaN/NA → pakai direct, bukan fallback seluruh segmen
    bad <- is.na(ev) | is.nan(ev) | is.na(mv) | is.nan(mv)
    if (any(bad)) {
      message("  EBLUP: ", sum(bad), " domain NaN → fallback direct per domain")
      ev[bad] <- df$Estimasi[bad]
      mv[bad] <- df$vardir[bad]
    }
    df$y_eblup <- ev
    df$mse     <- mv
  }

  df$mse        <- pmax(df$mse, 0)
  df$RSE_direct <- sqrt(df$vardir) / pmax(df$Estimasi, 1e-6) * 100
  df$RMSE_eblup <- sqrt(df$mse)
  df$RSE_eblup  <- df$RMSE_eblup / pmax(abs(df$y_eblup), 1e-6) * 100
  df
}

Model: GLMM (glmmTMB)

run_glmm <- function(df, vars) {
  eps       <- 1e-4
  df$y_prop <- pmax(pmin(df$Estimasi / 100, 1 - eps), eps)
  se_prop   <- pmax(df$RSE / 100 * df$y_prop, eps)

  # n_eff minimum 5 agar binomial tidak quasi-saturated
  df$n_eff   <- pmax(as.integer(round(df$y_prop * (1 - df$y_prop) / se_prop^2)), 5L)
  df$y_count <- pmin(as.integer(round(df$y_prop * df$n_eff)), df$n_eff - 1L)
  df$y_count <- pmax(df$y_count, 1L)   # hindari 0 dan n_eff (separasi)

  df_m        <- df[, c("Kako", "y_count", "n_eff", vars)]
  df_m[vars]  <- as.data.frame(scale(df_m[vars]))
  df_m[vars][is.nan(as.matrix(df_m[vars]))] <- 0
  df_m$Kako   <- as.factor(df_m$Kako)

  form <- as.formula(paste(
    "cbind(y_count, n_eff - y_count) ~",
    paste(vars, collapse = " + "),
    "+ (1 | Kako)"
  ))

  ctrl <- glmmTMBControl(optCtrl = list(iter.max = 500, eval.max = 800))
  m    <- try(glmmTMB(form, data = df_m, family = binomial, control = ctrl),
              silent = TRUE)

  if (inherits(m, "try-error") || is.null(m)) {
    message("  GLMM fit gagal → fallback direct")
    df$y_glmm   <- df$Estimasi
    df$mse_glmm <- df$vardir
  } else {
    # Prediksi: fixed + random effect (sesuai slide: X_i*beta + v_i_hat)
    df$y_glmm <- plogis(predict(m, type = "link", re.form = NULL)) * 100

    # ── Jackknife MSE (M2i saja) — M1i diabaikan karena g1i GLMM tidak
    #    memiliki bentuk analytik seperti FH, jadi full MSE ≈ M2i
    n_d   <- nrow(df)
    theta <- df$y_glmm   # estimasi penuh

    mse_v <- tryCatch({
      jack_pred <- matrix(NA_real_, nrow = n_d, ncol = n_d)

      for (i in seq_len(n_d)) {
        df_j <- df_m[-i, ]
        m_j  <- try(glmmTMB(form, data = df_j, family = binomial,
                             control = glmmTMBControl(
                               optCtrl = list(iter.max = 300, eval.max = 500))),
                    silent = TRUE)
        if (!inherits(m_j, "try-error")) {
          pj <- try(plogis(predict(m_j, newdata = df_m, type = "link",
                                    re.form = NA,
                                    allow.new.levels = TRUE)) * 100,
                    silent = TRUE)
          if (!inherits(pj, "try-error") && length(pj) == n_d)
            jack_pred[i, ] <- pj
        }
      }

      # M2i = (m-1)/m * sum(theta_i,-l - theta_i)^2
      vapply(seq_len(n_d), function(j) {
        ev <- jack_pred[, j][!is.na(jack_pred[, j])]
        if (length(ev) >= 2) {
          ((length(ev) - 1) / length(ev)) * mean((ev - theta[j])^2)
        } else {
          (df$RSE[j] / 100 * theta[j])^2
        }
      }, numeric(1))

    }, error = function(e) {
      message("  Jackknife crash: ", e$message, " → fallback MSE empiris")
      (df$RSE / 100 * df$y_glmm)^2
    })

    df$mse_glmm <- pmax(mse_v, 0)
  }

  df$RSE_direct <- df$RSE
  df$RMSE_glmm  <- sqrt(df$mse_glmm)
  df$RSE_glmm   <- df$RMSE_glmm / pmax(df$y_glmm, 1e-6) * 100
  df
}

Model: EB Beta-Binomial

#' EB Beta-Binomial dengan covariate:
#' (1) Regresi logit(p) ~ vars → mu_i (domain-specific prior mean)
#' (2) Estimasi phi (precision) via MOM dari {p_i}
#' (3) EB: p_hat_i = (a_i + y_i) / (a_i + b_i + n_eff_i) x 100
#' (4) Var posterior analytik → RSE_eb
run_eb_beta <- function(df, vars) {
  eps       <- 1e-4
  df$y_prop <- pmax(pmin(df$Estimasi / 100, 1 - eps), eps)

  se_prop    <- pmax(df$RSE / 100 * df$y_prop, eps)
  df$n_eff   <- pmax(as.integer(round(df$y_prop * (1 - df$y_prop) / se_prop^2)), 2L)
  df$y_count <- pmin(as.integer(round(df$y_prop * df$n_eff)), df$n_eff)

  df$y_logit_eb <- log(df$y_prop / (1 - df$y_prop))

  df[vars] <- as.data.frame(scale(df[vars]))
  df[vars][is.nan(as.matrix(df[vars]))] <- 0

  # Regresi untuk mu_i (prior mean per domain)
  form_reg <- as.formula(paste("y_logit_eb ~", paste(vars, collapse = "+")))
  reg      <- try(lm(form_reg, data = df), silent = TRUE)
  mu_i     <- if (inherits(reg, "try-error")) {
    df$y_prop
  } else {
    pmax(pmin(plogis(fitted(reg)), 1 - eps), eps)
  }

  # MOM untuk phi (precision)
  p_bar  <- mean(df$y_prop)
  var_p  <- var(df$y_prop)
  phi    <- max((p_bar * (1 - p_bar) / var_p) - 1, 0.01)

  a_i <- mu_i * phi
  b_i <- (1 - mu_i) * phi
  n_i <- df$n_eff
  y_i <- df$y_count

  # EB estimator
  a_post   <- a_i + y_i
  b_post   <- b_i + (n_i - y_i)
  denom    <- a_i + b_i + n_i
  p_hat_eb <- a_post / denom

  df$y_eb_pct <- p_hat_eb * 100

  # Var posterior analytik (Beta conjugate)
  var_post      <- (a_post * b_post) / (denom^2 * (denom + 1))
  df$var_eb_pct <- var_post * 100^2

  df$RSE_direct <- df$RSE
  df$RMSE_eb    <- sqrt(df$var_eb_pct)
  df$RSE_eb     <- df$RMSE_eb / pmax(df$y_eb_pct, 1e-6) * 100
  df
}

Model: HB Beta

# ── Helper: identifikasi kovariat yang CI-nya menyeberang nol ────────────────
# "Tidak aman" := 2.5% < 0 DAN 97.5% > 0  (intercept selalu dikecualikan)
#
# Desain: akses POSISIONAL, bukan berbasis nama kolom/baris.
# saeHB bisa menyimpan rownames sebagai "beta[1]","beta[2]"... (notasi JAGS)
# meski di-print tampak seperti nama variabel — intersect() gagal dalam kasus itu.
#
# Struktur baku saeHB::Beta()$coefficient:
#   Baris 1     = intercept  (di-skip)
#   Baris 2..k+1 = kovariat urutan sesuai formula = urutan var_names
#   Kolom 1=Mean | 2=SD | 3=2.5% | 4=25% | 5=50% | 6=75% | 7=97.5%
#
.vars_cross_ci <- function(coef_mat, var_names) {
  if (is.null(coef_mat) || nrow(coef_mat) < 2L || ncol(coef_mat) < 7L)
    return(character(0))

  # Baris kovariat: lewati baris-1 (intercept), petakan ke var_names
  p    <- min(length(var_names), nrow(coef_mat) - 1L)
  sub  <- coef_mat[1L + seq_len(p), , drop = FALSE]

  # Kolom 3 = 2.5%, kolom 7 = 97.5% — paksa numerik agar aman
  ci_lo <- as.numeric(sub[, 3L])
  ci_hi <- as.numeric(sub[, 7L])

  cross <- which(ci_lo < 0 & ci_hi > 0)
  if (length(cross) == 0L) return(character(0))

  var_names[cross]   # mapping posisional kembali ke nama variabel asli
}

# ── Fungsi utama HB Beta dengan seleksi CI otomatis ─────────────────────────
#
# Algoritma:
#  1. Skala semua vars sekali di awal (per kolom, tahan near-constant).
#  2. Jalankan saeHB::Beta() — output internalnya di-suppress agar tidak duplikat.
#  3. Cetak tabel koefisien kita sendiri (bersih, per iterasi).
#  4. Cek 2.5% & 97.5%: jika ada yang menyeberang nol → hapus SD terbesar.
#  5. Ulangi (2–4) sampai semua CI aman atau tidak ada vars tersisa.
#  6. Pakai hasil run terakhir yang valid untuk output domain.
#
# Catatan penting:
#  - saeHB::Beta() di-wrap capture.output() agar tidak mencetak tabel sendiri
#    (yang menyebabkan output duplikat). Kita cetak sendiri versi yang lebih bersih.
#  - Semua status memakai cat() bukan message() supaya tampil di stdout
#    (ikut copy-paste, tidak tenggelam di stderr/merah RStudio).
#
run_hbbeta <- function(df, vars,
                       has_jags    = get("has_jags", envir = .GlobalEnv),
                       iter.mcmc   = 50000,
                       burn.in     = 2000,
                       thin        = 10,
                       iter.update = 5) {

  # ── Fallback jika JAGS tidak tersedia ──────────────────────────────────────
  if (!has_jags) {
    df$y_hb_pct <- df$Estimasi
    df$sd_hb    <- NA_real_
    df$RSE_hb   <- df$RSE
    return(df)
  }

  # ── Persiapan data ──────────────────────────────────────────────────────────
  eps       <- 1e-4
  df$y_prop <- pmax(pmin(df$Estimasi / 100, 1 - eps), eps)

  # Scale per kolom — lebih aman dari scale() bulk untuk kolom near-constant
  for (v in vars) {
    mu_v <- mean(df[[v]], na.rm = TRUE)
    sd_v <- sd(df[[v]],   na.rm = TRUE)
    df[[v]] <- if (is.na(sd_v) || sd_v == 0) 0 else (df[[v]] - mu_v) / sd_v
    df[[v]][is.na(df[[v]]) | is.nan(df[[v]])] <- 0
  }

  # ── Loop seleksi berbasis CI ────────────────────────────────────────────────
  current_vars <- vars
  hb_last      <- NULL
  max_iter     <- length(vars) + 1L   # batas aman: maks 1 drop per iterasi

  for (iter in seq_len(max_iter)) {

    # Tidak ada vars → fallback langsung
    if (length(current_vars) == 0L) {
      cat("  [HB] Tidak ada variabel tersisa setelah seleksi CI → fallback direct\n")
      df$y_hb_pct <- df$Estimasi
      df$sd_hb    <- NA_real_
      df$RSE_hb   <- df$RSE
      return(df)
    }

    form_hb <- as.formula(paste("y_prop ~", paste(current_vars, collapse = "+")))

    # ── saeHB::Beta() di-wrap capture.output() agar tidak duplikat ─────────
    # Output internal saeHB (cat/print) ditangkap & dibuang;
    # kita cetak sendiri tabel koefisien di bawah.
    capture.output(
      hb_cur <- try(
        saeHB::Beta(
          formula     = form_hb,
          data        = df,
          iter.update = iter.update,
          iter.mcmc   = iter.mcmc,
          thin        = thin,
          burn.in     = burn.in
        ),
        silent = TRUE
      )
    )

    # JAGS crash / konvergensi gagal → fallback
    if (inherits(hb_cur, "try-error") || is.null(hb_cur$Est)) {
      cat("  [HB] Iterasi", iter, "gagal (JAGS error) → fallback direct\n")
      df$y_hb_pct <- df$Estimasi
      df$sd_hb    <- NA_real_
      df$RSE_hb   <- df$RSE
      return(df)
    }

    hb_last  <- hb_cur
    coef_mat <- hb_cur$coefficient

    # saeHB tidak mengembalikan tabel koefisien → lewati cek CI
    if (is.null(coef_mat)) {
      cat("  [HB] Tabel koefisien tidak tersedia → lewati cek CI\n")
      break
    }

    # ── Cetak tabel koefisien kita sendiri (bersih, berlabel iterasi) ───────
    cat(sprintf("\n  [HB Iter %d] Vars aktif (%d): %s\n",
                iter, length(current_vars),
                paste(current_vars, collapse = ", ")))
    print(round(coef_mat, 5))
    cat("\n")

    # ── Cek CI ───────────────────────────────────────────────────────────────
    cross_vars <- .vars_cross_ci(coef_mat, current_vars)

    if (length(cross_vars) == 0L) {
      # ✓ Semua aman
      cat(sprintf("  [HB] ✓ Semua CI aman — selesai pada iterasi %d.\n", iter))
      break
    }

    # ✗ Ada yang menyeberang nol → keluarkan yang SD-nya terbesar
    # SD lookup juga posisional (kolom 2 = SD, baris = 1 + posisi di current_vars)
    pos_cross <- match(cross_vars, current_vars)          # posisi di current_vars
    sd_cross  <- setNames(
      as.numeric(coef_mat[1L + pos_cross, 2L]),
      cross_vars
    )
    to_drop   <- names(which.max(sd_cross))

    cat(sprintf("  [HB] ✗ Iter %d — CI menyeberang nol: [%s]\n",
                iter, paste(cross_vars, collapse = ", ")))
    cat(sprintf("  [HB]   → Keluarkan '%s'  (SD = %.5f, terbesar)\n",
                to_drop, sd_cross[[to_drop]]))

    current_vars <- setdiff(current_vars, to_drop)
    # lanjut ke iterasi berikutnya dengan current_vars − 1
  }

  # ── Tulis hasil ke df ───────────────────────────────────────────────────────
  if (is.null(hb_last) || is.null(hb_last$Est)) {
    cat("  [HB] Tidak ada run valid → fallback direct\n")
    df$y_hb_pct <- df$Estimasi
    df$sd_hb    <- NA_real_
    df$RSE_hb   <- df$RSE
  } else {
    cat("  [HB] ✓ Variabel final:", paste(current_vars, collapse = ", "), "\n")
    df$y_hb_pct <- hb_last$Est$MEAN * 100
    df$sd_hb    <- hb_last$Est$SD
    df$RSE_hb   <- df$sd_hb / pmax(df$y_hb_pct / 100, 1e-6) * 100
  }

  df
}

Fungsi Plot & Evaluasi

# ── Plot RSE line (2 metode) ─────────────────────────────────────────────
plot_rse <- function(data, col1, col2, lab1, lab2, title) {
  miss <- setdiff(c(col1, col2), names(data))
  if (length(miss) > 0) { message("Kolom tidak ada: ", paste(miss)); return(invisible(NULL)) }
  df_plt <- data %>%
    dplyr::select(Kako, all_of(c(col1, col2))) %>%
    pivot_longer(-Kako, names_to = "Metode", values_to = "RSE") %>%
    mutate(Metode = case_when(Metode == col1 ~ lab1, Metode == col2 ~ lab2, TRUE ~ Metode),
           Kako = as.character(Kako)) %>%
    filter(!is.na(RSE))
  ggplot(df_plt, aes(x = Kako, y = RSE, group = Metode, color = Metode)) +
    geom_line(linewidth = 0.8, alpha = 0.85) +
    geom_point(size = 1.6) +
    geom_hline(yintercept = 25, linetype = "dashed", color = "#c0392b", linewidth = 0.9) +
    annotate("text", x = 1, y = 26.5, label = "Batas 25%", color = "#c0392b",
             hjust = 0, size = 3) +
    scale_color_manual(values = c("#2980b9", "#27ae60")) +
    labs(title = title, x = "Kabupaten/Kota", y = "RSE (%)", color = NULL) +
    theme_minimal(base_size = 11) +
    theme(axis.text.x = element_text(angle = 90, vjust = 0.5, size = 6),
          legend.position = "top", plot.title = element_text(face = "bold", size = 12))
}

# ── Plot HB Beta Posterior (dot + CI per domain) ─────────────────────────
plot_hb_posterior <- function(df, title, group_col = NULL) {
  eps   <- 1e-4
  df_p  <- df %>%
    filter(!is.na(y_hb_pct) & !is.na(sd_hb)) %>%
    mutate(
      ci_lo  = pmax((y_hb_pct / 100 - 1.96 * sd_hb) * 100, 0),
      ci_hi  = pmin((y_hb_pct / 100 + 1.96 * sd_hb) * 100, 100),
      Domain = reorder(as.character(Kako), y_hb_pct)
    )
  if (!is.null(group_col) && group_col %in% names(df_p)) {
    df_p$Grup <- df_p[[group_col]]
  } else {
    df_p$Grup <- "Semua Domain"
  }

  p <- ggplot(df_p, aes(x = Domain)) +
    geom_errorbar(aes(ymin = ci_lo, ymax = ci_hi, color = Grup),
                  width = 0.3, alpha = 0.55) +
    geom_point(aes(y = y_hb_pct, color = Grup), size = 2) +
    geom_point(aes(y = Estimasi), color = "#c0392b", size = 1.2, alpha = 0.6, shape = 4) +
    geom_hline(yintercept = mean(df_p$y_hb_pct, na.rm = TRUE),
               linetype = "dashed", color = "#2ecc71", linewidth = 0.8) +
    scale_color_manual(values = c("#2980b9","#e67e22","#8e44ad","#16a085")) +
    labs(title    = title,
         subtitle = "Titik biru = HB | Error bar = 95% CI | Silang merah = Direct | Garis hijau = Rata-rata HB",
         x = "Kabupaten/Kota (urut HB)", y = "Estimasi (%)", color = "Grup") +
    theme_minimal(base_size = 10) +
    theme(axis.text.x  = element_text(angle = 90, vjust = 0.5, size = 5),
          legend.position = "top",
          plot.title      = element_text(face = "bold", size = 12),
          plot.subtitle   = element_text(size = 9))
  p
}

# ── Utilitas evaluasi ────────────────────────────────────────────────────
pct_ok     <- function(x)     round(mean(x < 25, na.rm = TRUE) * 100, 1)
pct_ok_15  <- function(x)     round(mean(x < 15, na.rm = TRUE) * 100, 1)
cv_mean    <- function(x)     round(mean(x, na.rm = TRUE), 2)

tabel_rse <- function(data, var_rse, label) {
  data.frame(
    Skenario      = label,
    `RSE >= 25`   = sum(data[[var_rse]] >= 25, na.rm = TRUE),
    `RSE < 25`    = sum(data[[var_rse]] < 25,  na.rm = TRUE),
    `% < 25%`     = pct_ok(data[[var_rse]]),
    `% < 15%`     = pct_ok_15(data[[var_rse]]),
    `CV Mean`     = cv_mean(data[[var_rse]]),
    check.names   = FALSE
  )
}

metrik <- function(est_model, est_direct, label) {
  data.frame(
    Skenario  = label,
    `RB (%)`  = round(mean((est_model - est_direct) / est_direct, na.rm=TRUE)*100, 3),
    `RMSE`    = round(sqrt(mean((est_model - est_direct)^2, na.rm=TRUE)), 4),
    check.names = FALSE
  )
}

# ── Korelasi aux terpilih vs Direct dan Logit(Direct) ────────────────────
# Dipanggil oleh run_on_segments setelah seleksi variabel selesai,
# sebelum model dijalankan — agar transparan hubungan tiap aux dengan respons.
show_var_corr <- function(df, vars, estimasi_col = "Estimasi") {
  if (length(vars) == 0 || !estimasi_col %in% names(df)) return(invisible(NULL))
  eps    <- 1e-4
  y_dir  <- df[[estimasi_col]]
  p      <- pmax(pmin(y_dir / 100, 1 - eps), eps)
  y_lgit <- log(p / (1 - p))
  cat(sprintf("  %-16s %12s %12s\n", "Variabel", "cor(Direct)", "cor(Logit)"))
  cat("  ", strrep("-", 42), "\n", sep = "")
  for (v in vars) {
    x  <- df[[v]]
    r1 <- tryCatch(cor(x, y_dir,  use = "complete.obs"), error = function(e) NA_real_)
    r2 <- tryCatch(cor(x, y_lgit, use = "complete.obs"), error = function(e) NA_real_)
    cat(sprintf("  %-16s %12.4f %12.4f\n", v, r1, r2))
  }
  cat("\n")
}

# ── Fungsi utama: jalankan model pada list segmen ────────────────────────
# aux_fn  : seleksi_backward atau seleksi_topn
# model_fn: run_eblup / run_glmm / run_eb_beta / run_hbbeta
# y_col   : "Estimasi" (EBLUP) atau "y_logit" (GLMM/EB/HB)
# Catatan: excl_cols tidak perlu dioper — kedua fungsi seleksi
#          sudah auto-detect kolom non-X secara dinamis
run_on_segments <- function(seg_list, aux_fn, model_fn, y_col,
                             min_n = 4, ...) {
  hasil <- list()
  for (nm in names(seg_list)) {
    df_s <- seg_list[[nm]]
    if (nrow(df_s) < min_n) { message("  Skip ", nm, " (n=", nrow(df_s), ")"); next }
    vars <- tryCatch(
      aux_fn(df_s, y_col = y_col),
      error = function(e) { message("  VarSel error [", nm, "]: ", e$message); character(0) }
    )
    if (length(vars) == 0) {
      message("  Tidak ada var terpilih untuk ", nm, " — skip")
      next
    }
    cat("  [", nm, "]", y_col, "| n =", nrow(df_s),
        "| Vars:", paste(vars, collapse=", "), "\n")
    show_var_corr(df_s, vars)
    res <- tryCatch(
      model_fn(df_s, vars, ...),
      error = function(e) {
        message("  Model error [", nm, "]: ", e$message)
        NULL
      }
    )
    if (!is.null(res)) hasil[[nm]] <- res
  }
  if (length(hasil) == 0) return(NULL)
  bind_rows(hasil)
}

4. Pembagian Data

C2 — RSE Natural Break (Jenks)

# RSE_direct_col: hanya untuk pembagian partisi, BUKAN kandidat aux
# Karena nama tidak berawalan "X", otomatis tereksklusi oleh kedua fungsi seleksi
df_base$RSE_direct_col <- sqrt(df_base$vardir) / pmax(df_base$Estimasi, 1e-6) * 100

brk_jenks <- classIntervals(df_base$RSE_direct_col, n = 2, style = "jenks")
df_base$grup_jenks <- cut(df_base$RSE_direct_col,
                          breaks = brk_jenks$brks,
                          labels = c("G1_RSE_Rendah", "G2_RSE_Tinggi"),
                          include.lowest = TRUE)

cat("Cut-off Jenks:", round(brk_jenks$brks[2], 2), "%\n")
## Cut-off Jenks: 58.89 %
table(df_base$grup_jenks)
## 
## G1_RSE_Rendah G2_RSE_Tinggi 
##            60            21

C3 — RSE Equal Size (Median)

med_rse <- median(df_base$RSE_direct_col, na.rm = TRUE)
df_base$grup_equal <- ifelse(df_base$RSE_direct_col <= med_rse,
                              "G1_RSE_Bawah", "G2_RSE_Atas")
cat("Median RSE:", round(med_rse, 2), "%\n")
## Median RSE: 48.37 %
table(df_base$grup_equal)
## 
## G1_RSE_Bawah  G2_RSE_Atas 
##           41           40

C4 — Cluster-Aux (k=2)

# Fungsi helper cluster
make_cluster <- function(df_full, vars_cl, seed = 42) {
  mat <- scale(df_full[, vars_cl, drop = FALSE])
  mat[is.nan(mat)] <- 0
  set.seed(seed)
  km  <- kmeans(mat, centers = 2, nstart = 50, iter.max = 200)
  paste0("Cluster_", km$cluster)
}

# === Global var selection (ALL data) untuk menentukan vars clustering ===

# A1 (Backward) — Normal link
vars_gbk_normal <- seleksi_backward(df_base, y_col = "Estimasi")
cat("Cluster-A1-Normal vars:", paste(vars_gbk_normal, collapse=", "), "\n")
## Cluster-A1-Normal vars: X40, X29_mean
df_base$cluster_bk_normal <- make_cluster(df_base, vars_gbk_normal)

# A2 (TopN) — Normal link
vars_gtn_normal <- seleksi_topn(df_base, y_col = "Estimasi")
cat("Cluster-A2-Normal vars:", paste(vars_gtn_normal, collapse=", "), "\n")
## Cluster-A2-Normal vars: X40, X8, X45, X36_mean, X29_mean, X27, X31_mean
df_base$cluster_tn_normal <- make_cluster(df_base, vars_gtn_normal)

# A1 (Backward) — Logit link
vars_gbk_logit <- seleksi_backward(df_base, y_col = "y_logit")
cat("Cluster-A1-Logit vars:", paste(vars_gbk_logit, collapse=", "), "\n")
## Cluster-A1-Logit vars: X36_mean, X40
df_base$cluster_bk_logit <- make_cluster(df_base, vars_gbk_logit)

# A2 (TopN) — Logit link
vars_gtn_logit <- seleksi_topn(df_base, y_col = "y_logit")
cat("Cluster-A2-Logit vars:", paste(vars_gtn_logit, collapse=", "), "\n")
## Cluster-A2-Logit vars: X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45
df_base$cluster_tn_logit <- make_cluster(df_base, vars_gtn_logit)

# Ringkasan cluster
kable(
  data.frame(
    Cluster_Tipe    = c("A1-Normal","A2-Normal","A1-Logit","A2-Logit"),
    Variabel_Global = c(paste(vars_gbk_normal, collapse=", "),
                        paste(vars_gtn_normal, collapse=", "),
                        paste(vars_gbk_logit,  collapse=", "),
                        paste(vars_gtn_logit,  collapse=", "))
  ), caption = "Variabel Global untuk Pembentukan Cluster") %>%
  kable_styling(bootstrap_options = c("striped","hover","condensed"))
Variabel Global untuk Pembentukan Cluster
Cluster_Tipe Variabel_Global
A1-Normal X40, X29_mean
A2-Normal X40, X8, X45, X36_mean, X29_mean, X27, X31_mean
A1-Logit X36_mean, X40
A2-Logit X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45

Distribusi Semua Partisi

p1 <- ggplot(df_base, aes(x = RSE_direct_col, fill = grup_jenks)) +
  geom_histogram(bins = 25, color = "white", alpha = 0.85) +
  geom_vline(xintercept = brk_jenks$brks[2], linetype="dashed", color="#c0392b") +
  scale_fill_manual(values = c("#2980b9","#e67e22")) +
  labs(title = "C2: RSE Natural Break (Jenks)", x = "RSE Direct (%)", y = "n", fill=NULL) +
  theme_minimal(base_size = 11) + theme(legend.position = "top")

p2 <- ggplot(df_base, aes(x = RSE_direct_col, fill = grup_equal)) +
  geom_histogram(bins = 25, color = "white", alpha = 0.85) +
  geom_vline(xintercept = med_rse, linetype="dashed", color="#c0392b") +
  scale_fill_manual(values = c("#2980b9","#e67e22")) +
  labs(title = "C3: RSE Equal Size (Median)", x = "RSE Direct (%)", y = "n", fill=NULL) +
  theme_minimal(base_size = 11) + theme(legend.position = "top")

p3 <- ggplot(df_base, aes(x = Estimasi, fill = cluster_bk_normal)) +
  geom_boxplot(alpha = 0.8) +
  scale_fill_manual(values = c("#2980b9","#27ae60")) +
  labs(title = "C4 Cluster (A1-Normal)", x = "Estimasi (%)", fill=NULL) +
  theme_minimal(base_size = 11) + theme(legend.position = "top")

p4 <- ggplot(df_base, aes(x = Estimasi, fill = cluster_bk_logit)) +
  geom_boxplot(alpha = 0.8) +
  scale_fill_manual(values = c("#2980b9","#27ae60")) +
  labs(title = "C4 Cluster (A1-Logit)", x = "Estimasi (%)", fill=NULL) +
  theme_minimal(base_size = 11) + theme(legend.position = "top")

(p1 | p2) / (p3 | p4)


7. EB Beta-Binomial Empirical Bayes

Skenario 17–24 — EB Beta-Binomial. Regresi logit(p) ~ vars menghasilkan μᵢ (prior mean domain-spesifik). Presisi φ diestimasi via Method of Moments. Estimasi EB: p̂ᵢ = (aᵢ + yᵢ) / (aᵢ + bᵢ + nᵢ). MSE dari variansi posterior Beta analytik.

S17 — Backward · All

cat("=== Skenario 17: EB Backward All ===\n")
## === Skenario 17: EB Backward All ===
df_s17 <- run_on_segments(
  seg_list = list("All" = df_base),
  aux_fn   = seleksi_backward, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X40 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X40                   -0.3690      -0.3705
summary(df_s17[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.585   Min.   :26.1   Min.   :24.6  
##  1st Qu.: 4.10   1st Qu.: 4.513   1st Qu.:39.3   1st Qu.:34.5  
##  Median : 8.24   Median : 7.550   Median :48.4   Median :41.8  
##  Mean   : 8.65   Mean   : 7.824   Mean   :52.3   Mean   :41.8  
##  3rd Qu.:11.12   3rd Qu.: 9.579   3rd Qu.:61.0   3rd Qu.:46.3  
##  Max.   :26.70   Max.   :18.326   Max.   :98.8   Max.   :86.9
plot_rse(df_s17,"RSE_direct","RSE_eb","Direct","EB-BK All","S17: EB Beta-Binomial Backward — All")
S17: EB Beta Backward All

S17: EB Beta Backward All

S18 — Backward · RSE-NB

cat("=== Skenario 18: EB Backward RSE-NB ===\n")
## === Skenario 18: EB Backward RSE-NB ===
df_s18 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_jenks),
  aux_fn   = seleksi_backward, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X31_jumlah, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
## 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.4287      -0.6631
summary(df_s18[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.497   Min.   :26.1   Min.   :24.0  
##  1st Qu.: 4.10   1st Qu.: 4.043   1st Qu.:39.3   1st Qu.:32.2  
##  Median : 8.24   Median : 8.093   Median :48.4   Median :37.1  
##  Mean   : 8.65   Mean   : 8.023   Mean   :52.3   Mean   :40.1  
##  3rd Qu.:11.12   3rd Qu.:10.637   3rd Qu.:61.0   3rd Qu.:46.8  
##  Max.   :26.70   Max.   :17.925   Max.   :98.8   Max.   :91.2
plot_rse(df_s18,"RSE_direct","RSE_eb","Direct","EB-BK RSE-NB","S18: EB Beta-Binomial Backward — RSE NB")
S18: EB Beta Backward RSE Natural Break

S18: EB Beta Backward RSE Natural Break

S19 — Backward · RSE-ES

cat("=== Skenario 19: EB Backward RSE-ES ===\n")
## === Skenario 19: EB Backward RSE-ES ===
df_s19 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_equal),
  aux_fn   = seleksi_backward, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X8, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
## 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3763      -0.5547
summary(df_s19[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.498   Min.   :26.1   Min.   :22.1  
##  1st Qu.: 4.10   1st Qu.: 4.314   1st Qu.:39.3   1st Qu.:29.8  
##  Median : 8.24   Median : 8.221   Median :48.4   Median :39.4  
##  Mean   : 8.65   Mean   : 7.903   Mean   :52.3   Mean   :41.8  
##  3rd Qu.:11.12   3rd Qu.:10.416   3rd Qu.:61.0   3rd Qu.:51.1  
##  Max.   :26.70   Max.   :17.019   Max.   :98.8   Max.   :94.9
plot_rse(df_s19,"RSE_direct","RSE_eb","Direct","EB-BK RSE-ES","S19: EB Beta-Binomial Backward — RSE ES")
S19: EB Beta Backward RSE Equal Size

S19: EB Beta Backward RSE Equal Size

S20 — Backward · Cluster

cat("=== Skenario 20: EB Backward Cluster ===\n")
## === Skenario 20: EB Backward Cluster ===
df_s20 <- run_on_segments(
  seg_list = split(df_base, df_base$cluster_bk_logit),
  aux_fn   = seleksi_backward, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ Cluster_1 ] y_logit | n = 60 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3236      -0.4251
## 
##   [ Cluster_2 ] y_logit | n = 21 | Vars: X40_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_jumlah            -0.3419      -0.3562
summary(df_s20[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.574   Min.   :26.1   Min.   :22.1  
##  1st Qu.: 4.10   1st Qu.: 4.646   1st Qu.:39.3   1st Qu.:33.1  
##  Median : 8.24   Median : 7.571   Median :48.4   Median :41.7  
##  Mean   : 8.65   Mean   : 7.831   Mean   :52.3   Mean   :41.0  
##  3rd Qu.:11.12   3rd Qu.:10.308   3rd Qu.:61.0   3rd Qu.:46.4  
##  Max.   :26.70   Max.   :17.053   Max.   :98.8   Max.   :87.6
plot_rse(df_s20,"RSE_direct","RSE_eb","Direct","EB-BK Cluster","S20: EB Beta-Binomial Backward — Cluster")
S20: EB Beta Backward Cluster-Aux

S20: EB Beta Backward Cluster-Aux

S21 — Top-n/10 · All

cat("=== Skenario 21: EB TopN All ===\n")
## === Skenario 21: EB TopN All ===
df_s21 <- run_on_segments(
  seg_list = list("All" = df_base),
  aux_fn   = seleksi_topn, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X30_mean              -0.3041      -0.3975
##   X31_mean              -0.3188      -0.3953
##   X29_mean              -0.3220      -0.3921
##   X8                     0.3439       0.3797
##   X40                   -0.3690      -0.3705
##   X45                   -0.3224      -0.3604
summary(df_s21[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.579   Min.   :26.1   Min.   :24.5  
##  1st Qu.: 4.10   1st Qu.: 4.418   1st Qu.:39.3   1st Qu.:34.7  
##  Median : 8.24   Median : 7.676   Median :48.4   Median :41.9  
##  Mean   : 8.65   Mean   : 7.833   Mean   :52.3   Mean   :41.8  
##  3rd Qu.:11.12   3rd Qu.: 9.804   3rd Qu.:61.0   3rd Qu.:47.3  
##  Max.   :26.70   Max.   :18.702   Max.   :98.8   Max.   :87.3
plot_rse(df_s21,"RSE_direct","RSE_eb","Direct","EB-TN All","S21: EB Beta-Binomial Top-n/10 — All")
S21: EB Beta Top-n/10 All

S21: EB Beta Top-n/10 All

S22 — Top-n/10 · RSE-NB

cat("=== Skenario 22: EB TopN RSE-NB ===\n")
## === Skenario 22: EB TopN RSE-NB ===
df_s22 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_jenks),
  aux_fn   = seleksi_topn, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X27, X31_jumlah, X29_mean, X4, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X4                     0.4425       0.4608
##   X28_mean              -0.3437      -0.4251
## 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3973      -0.6324
summary(df_s22[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.503   Min.   :26.1   Min.   :23.7  
##  1st Qu.: 4.10   1st Qu.: 4.180   1st Qu.:39.3   1st Qu.:32.6  
##  Median : 8.24   Median : 8.107   Median :48.4   Median :37.0  
##  Mean   : 8.65   Mean   : 8.016   Mean   :52.3   Mean   :40.1  
##  3rd Qu.:11.12   3rd Qu.:10.670   3rd Qu.:61.0   3rd Qu.:47.1  
##  Max.   :26.70   Max.   :17.506   Max.   :98.8   Max.   :90.6
plot_rse(df_s22,"RSE_direct","RSE_eb","Direct","EB-TN RSE-NB","S22: EB Beta-Binomial Top-n/10 — RSE NB")
S22: EB Beta Top-n/10 RSE Natural Break

S22: EB Beta Top-n/10 RSE Natural Break

S23 — Top-n/10 · RSE-ES

cat("=== Skenario 23: EB TopN RSE-ES ===\n")
## === Skenario 23: EB TopN RSE-ES ===
df_s23 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_equal),
  aux_fn   = seleksi_topn, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X44_mean, X8, X39_jumlah, X27 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44_mean              -0.4399      -0.5825
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
##   X27                    0.4608       0.5500
## 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X27_mean, X28_mean, X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X27_mean              -0.4069      -0.5399
##   X28_mean              -0.4137      -0.5322
##   X36_mean              -0.3461      -0.5315
summary(df_s23[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.512   Min.   :26.1   Min.   :22.4  
##  1st Qu.: 4.10   1st Qu.: 4.423   1st Qu.:39.3   1st Qu.:29.8  
##  Median : 8.24   Median : 8.259   Median :48.4   Median :39.6  
##  Mean   : 8.65   Mean   : 7.929   Mean   :52.3   Mean   :41.7  
##  3rd Qu.:11.12   3rd Qu.:10.285   3rd Qu.:61.0   3rd Qu.:51.6  
##  Max.   :26.70   Max.   :17.124   Max.   :98.8   Max.   :93.6
plot_rse(df_s23,"RSE_direct","RSE_eb","Direct","EB-TN RSE-ES","S23: EB Beta-Binomial Top-n/10 — RSE ES")
S23: EB Beta Top-n/10 RSE Equal Size

S23: EB Beta Top-n/10 RSE Equal Size

S24 — Top-n/10 · Cluster

cat("=== Skenario 24: EB TopN Cluster ===\n")
## === Skenario 24: EB TopN Cluster ===
df_s24 <- run_on_segments(
  seg_list = split(df_base, df_base$cluster_tn_logit),
  aux_fn   = seleksi_topn, model_fn = run_eb_beta, y_col = "y_logit"
)
##   [ Cluster_1 ] y_logit | n = 70 | Vars: X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3091      -0.3196
##   X25_jumlah            -0.2038      -0.2746
##   X33_mean              -0.2294      -0.2340
##   X31_mean              -0.1967      -0.2304
##   X48                   -0.2223      -0.2146
##   X35_jumlah            -0.2500      -0.2117
##   X12_mean              -0.1739      -0.2109
## 
##   [ Cluster_2 ] y_logit | n = 11 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3819      -0.6313
summary(df_s24[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.604   Min.   :26.1   Min.   :24.1  
##  1st Qu.: 4.10   1st Qu.: 4.898   1st Qu.:39.3   1st Qu.:34.4  
##  Median : 8.24   Median : 8.065   Median :48.4   Median :39.8  
##  Mean   : 8.65   Mean   : 7.878   Mean   :52.3   Mean   :40.6  
##  3rd Qu.:11.12   3rd Qu.: 9.915   3rd Qu.:61.0   3rd Qu.:45.6  
##  Max.   :26.70   Max.   :19.615   Max.   :98.8   Max.   :80.5
plot_rse(df_s24,"RSE_direct","RSE_eb","Direct","EB-TN Cluster","S24: EB Beta-Binomial Top-n/10 — Cluster")
S24: EB Beta Top-n/10 Cluster-Aux

S24: EB Beta Top-n/10 Cluster-Aux


8. HB Beta-Binomial saeHB

Prasyarat JAGS: Skenario 25–32 memerlukan JAGS terinstal di OS dan paket saeHB. Download: https://sourceforge.net/projects/mcmc-jags/files/JAGS/4.x/ lalu restart R. Jika JAGS tidak tersedia, otomatis fallback ke direct estimator. Setiap skenario HB menyertakan plot posterior dengan credible interval 95%.

S25 — Backward · All

cat("=== Skenario 25: HB Backward All ===\n")
## === Skenario 25: HB Backward All ===
df_s25 <- run_on_segments(
  seg_list = list("All" = df_base),
  aux_fn   = seleksi_backward, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X40 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X40                   -0.3690      -0.3705

## 
##   [HB Iter 1] Vars aktif (2): X36_mean, X40
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.5303 0.03631 -2.6012 -2.5546 -2.5306 -2.5057 -2.4578
## X36_mean  -0.2699 0.03937 -0.3460 -0.2966 -0.2703 -0.2429 -0.1930
## X40       -0.2094 0.03385 -0.2747 -0.2330 -0.2101 -0.1871 -0.1419
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean, X40
summary(df_s25[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct          RSE           RSE_hb    
##  Min.   : 0.51   Min.   : 1.35   Min.   :26.1   Min.   :16.1  
##  1st Qu.: 4.10   1st Qu.: 4.89   1st Qu.:39.3   1st Qu.:23.7  
##  Median : 8.24   Median : 8.31   Median :48.4   Median :26.5  
##  Mean   : 8.65   Mean   : 8.65   Mean   :52.3   Mean   :28.2  
##  3rd Qu.:11.12   3rd Qu.:10.71   3rd Qu.:61.0   3rd Qu.:32.2  
##  Max.   :26.70   Max.   :24.97   Max.   :98.8   Max.   :46.1
plot_rse(df_s25,"RSE","RSE_hb","Direct","HB-BK All","S25: HB Beta Backward — All Domain")
S25: HB Beta Backward RSE

S25: HB Beta Backward RSE

plot_hb_posterior(df_s25, "S25: HB Beta Backward — All Domain")
S25: HB Beta Posterior — All Domain

S25: HB Beta Posterior — All Domain

S26 — Backward · RSE-NB

cat("=== Skenario 26: HB Backward RSE-NB ===\n")
## === Skenario 26: HB Backward RSE-NB ===
df_s26 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_jenks),
  aux_fn   = seleksi_backward, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X31_jumlah, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642

## 
##   [HB Iter 1] Vars aktif (3): X3, X31_jumlah, X29_mean
##               Mean      SD    2.5%     25%     50%      75%    97.5%
## intercept  -2.2648 0.02958 -2.3236 -2.2849 -2.2646 -2.24501 -2.20726
## X3          0.1724 0.03141  0.1098  0.1515  0.1729  0.19380  0.23320
## X31_jumlah -0.1420 0.03403 -0.2087 -0.1648 -0.1422 -0.11894 -0.07459
## X29_mean   -0.1208 0.03317 -0.1848 -0.1436 -0.1204 -0.09859 -0.05673
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X3, X31_jumlah, X29_mean 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.4287      -0.6631

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.5093 0.06017 -3.6275 -3.5508 -3.5084 -3.4675 -3.3900
## X36_mean  -0.5082 0.06340 -0.6311 -0.5514 -0.5084 -0.4647 -0.3852
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean
summary(df_s26[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.514   Min.   :26.1   Min.   : 5.61  
##  1st Qu.: 4.10   1st Qu.: 4.289   1st Qu.:39.3   1st Qu.:12.59  
##  Median : 8.24   Median : 8.282   Median :48.4   Median :14.91  
##  Mean   : 8.65   Mean   : 8.663   Mean   :52.3   Mean   :15.53  
##  3rd Qu.:11.12   3rd Qu.:10.971   3rd Qu.:61.0   3rd Qu.:16.50  
##  Max.   :26.70   Max.   :25.013   Max.   :98.8   Max.   :49.39
plot_rse(df_s26,"RSE","RSE_hb","Direct","HB-BK RSE-NB","S26: HB Beta Backward — RSE Natural Break")
S26: HB Beta Backward RSE Natural Break

S26: HB Beta Backward RSE Natural Break

plot_hb_posterior(df_s26, "S26: HB Beta Backward — RSE Natural Break", group_col = "grup_jenks")
S26: HB Beta Posterior — RSE Natural Break

S26: HB Beta Posterior — RSE Natural Break

S27 — Backward · RSE-ES

cat("=== Skenario 27: HB Backward RSE-ES ===\n")
## === Skenario 27: HB Backward RSE-ES ===
df_s27 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_equal),
  aux_fn   = seleksi_backward, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X8, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570

## 
##   [HB Iter 1] Vars aktif (2): X8, X39_jumlah
##               Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept  -2.1532 0.03127 -2.2171 -2.1735 -2.1527 -2.1322 -2.0942
## X8          0.2000 0.03036  0.1403  0.1793  0.2005  0.2210  0.2581
## X39_jumlah -0.1875 0.03148 -0.2501 -0.2088 -0.1878 -0.1661 -0.1263
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X8, X39_jumlah 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3763      -0.5547

## 
##   [HB Iter 1] Vars aktif (1): X31_mean
##              Mean      SD   2.5%     25%     50%     75%   97.5%
## intercept -3.0428 0.05493 -3.152 -3.0807 -3.0417 -3.0051 -2.9385
## X31_mean  -0.5112 0.05829 -0.625 -0.5502 -0.5122 -0.4717 -0.3969
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X31_mean
summary(df_s27[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.517   Min.   :26.1   Min.   : 2.75  
##  1st Qu.: 4.10   1st Qu.: 4.122   1st Qu.:39.3   1st Qu.: 3.88  
##  Median : 8.24   Median : 8.220   Median :48.4   Median : 6.87  
##  Mean   : 8.65   Mean   : 8.647   Mean   :52.3   Mean   : 9.07  
##  3rd Qu.:11.12   3rd Qu.:11.130   3rd Qu.:61.0   3rd Qu.:12.69  
##  Max.   :26.70   Max.   :26.415   Max.   :98.8   Max.   :31.97
plot_rse(df_s27,"RSE","RSE_hb","Direct","HB-BK RSE-ES","S27: HB Beta Backward — RSE Equal Size")
S27: HB Beta Backward RSE Equal Size

S27: HB Beta Backward RSE Equal Size

plot_hb_posterior(df_s27, "S27: HB Beta Backward — RSE Equal Size", group_col = "grup_equal")
S27: HB Beta Posterior — RSE Equal Size

S27: HB Beta Posterior — RSE Equal Size

S28 — Backward · Cluster

cat("=== Skenario 28: HB Backward Cluster ===\n")
## === Skenario 28: HB Backward Cluster ===
df_s28 <- run_on_segments(
  seg_list = split(df_base, df_base$cluster_bk_logit),
  aux_fn   = seleksi_backward, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ Cluster_1 ] y_logit | n = 60 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3236      -0.4251

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.7517 0.04742 -2.8456 -2.7831 -2.7515 -2.7196 -2.6611
## X36_mean  -0.3425 0.04706 -0.4359 -0.3743 -0.3429 -0.3113 -0.2509
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean 
##   [ Cluster_2 ] y_logit | n = 21 | Vars: X40_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_jumlah            -0.3419      -0.3562

## 
##   [HB Iter 1] Vars aktif (1): X40_jumlah
##               Mean      SD    2.5%     25%     50%     75%    97.5%
## intercept  -2.0344 0.04982 -2.1328 -2.0679 -2.0338 -2.0010 -1.93689
## X40_jumlah -0.1766 0.05146 -0.2768 -0.2113 -0.1762 -0.1419 -0.07777
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X40_jumlah
summary(df_s28[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.919   Min.   :26.1   Min.   : 8.82  
##  1st Qu.: 4.10   1st Qu.: 4.422   1st Qu.:39.3   1st Qu.:16.44  
##  Median : 8.24   Median : 8.011   Median :48.4   Median :20.64  
##  Mean   : 8.65   Mean   : 8.650   Mean   :52.3   Mean   :22.47  
##  3rd Qu.:11.12   3rd Qu.:10.909   3rd Qu.:61.0   3rd Qu.:27.32  
##  Max.   :26.70   Max.   :25.845   Max.   :98.8   Max.   :52.09
plot_rse(df_s28,"RSE","RSE_hb","Direct","HB-BK Cluster","S28: HB Beta Backward — Cluster Aux")
S28: HB Beta Backward Cluster-Aux

S28: HB Beta Backward Cluster-Aux

plot_hb_posterior(df_s28, "S28: HB Beta Backward — Cluster Aux",
                  group_col = "cluster_bk_logit")
S28: HB Beta Posterior — Cluster Aux (A1-Logit)

S28: HB Beta Posterior — Cluster Aux (A1-Logit)

S29 — Top-n/10 · All

cat("=== Skenario 29: HB TopN All ===\n")
## === Skenario 29: HB TopN All ===
df_s29 <- run_on_segments(
  seg_list = list("All" = df_base),
  aux_fn   = seleksi_topn, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X30_mean              -0.3041      -0.3975
##   X31_mean              -0.3188      -0.3953
##   X29_mean              -0.3220      -0.3921
##   X8                     0.3439       0.3797
##   X40                   -0.3690      -0.3705
##   X45                   -0.3224      -0.3604

## 
##   [HB Iter 1] Vars aktif (7): X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.52086 0.03603 -2.59070 -2.54531 -2.52057 -2.49726 -2.44832
## X36_mean  -0.03394 0.07773 -0.18760 -0.08680 -0.03411  0.01994  0.11924
## X30_mean  -0.05760 0.05945 -0.16997 -0.09853 -0.05787 -0.01751  0.05904
## X31_mean  -0.03315 0.07428 -0.18293 -0.08231 -0.03226  0.01765  0.10868
## X29_mean  -0.12430 0.06712 -0.25771 -0.16863 -0.12321 -0.08024  0.00570
## X8         0.07834 0.05785 -0.03760  0.03964  0.07843  0.11776  0.19076
## X40       -0.20224 0.03530 -0.27020 -0.22615 -0.20230 -0.17785 -0.13389
## X45        0.02432 0.05725 -0.09039 -0.01427  0.02504  0.06315  0.13705
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X36_mean, X30_mean, X31_mean, X29_mean, X8, X45]
##   [HB]   → Keluarkan 'X36_mean'  (SD = 0.07773, terbesar)

## 
##   [HB Iter 2] Vars aktif (6): X30_mean, X31_mean, X29_mean, X8, X40, X45
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.53143 0.03617 -2.60391 -2.55549 -2.53129 -2.50684 -2.46202
## X30_mean  -0.07204 0.05442 -0.17843 -0.10885 -0.07245 -0.03517  0.03557
## X31_mean  -0.03954 0.06611 -0.16885 -0.08340 -0.03988  0.00438  0.08871
## X29_mean  -0.13435 0.05978 -0.24685 -0.17782 -0.13402 -0.09364 -0.01707
## X8         0.08597 0.05348 -0.01885  0.04925  0.08734  0.12333  0.18914
## X40       -0.20617 0.03555 -0.27727 -0.23032 -0.20605 -0.18171 -0.13658
## X45        0.02640 0.05597 -0.08047 -0.01201  0.02533  0.06467  0.13688
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X30_mean, X31_mean, X8, X45]
##   [HB]   → Keluarkan 'X31_mean'  (SD = 0.06611, terbesar)

## 
##   [HB Iter 3] Vars aktif (5): X30_mean, X29_mean, X8, X40, X45
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.51803 0.03611 -2.58811 -2.54255 -2.51794 -2.49341 -2.44678
## X30_mean  -0.07316 0.04992 -0.17337 -0.10703 -0.07211 -0.04005  0.02331
## X29_mean  -0.15256 0.05242 -0.25587 -0.18727 -0.15218 -0.11748 -0.05003
## X8         0.08885 0.05209 -0.01348  0.05357  0.08844  0.12489  0.19002
## X40       -0.20321 0.03535 -0.27205 -0.22742 -0.20321 -0.17945 -0.13342
## X45        0.01497 0.05125 -0.08697 -0.01967  0.01557  0.04955  0.11314
## 
##   [HB] ✗ Iter 3 — CI menyeberang nol: [X30_mean, X8, X45]
##   [HB]   → Keluarkan 'X8'  (SD = 0.05209, terbesar)

## 
##   [HB Iter 4] Vars aktif (4): X30_mean, X29_mean, X40, X45
##               Mean      SD    2.5%     25%      50%      75%    97.5%
## intercept -2.51738 0.03538 -2.5869 -2.5407 -2.51701 -2.49333 -2.44780
## X30_mean  -0.07768 0.04877 -0.1744 -0.1104 -0.07726 -0.04562  0.01741
## X29_mean  -0.18611 0.04859 -0.2817 -0.2185 -0.18623 -0.15352 -0.09174
## X40       -0.21140 0.03441 -0.2760 -0.2349 -0.21185 -0.18849 -0.14141
## X45       -0.02148 0.04616 -0.1118 -0.0528 -0.02188  0.00971  0.06744
## 
##   [HB] ✗ Iter 4 — CI menyeberang nol: [X30_mean, X45]
##   [HB]   → Keluarkan 'X30_mean'  (SD = 0.04877, terbesar)

## 
##   [HB Iter 5] Vars aktif (3): X29_mean, X40, X45
##               Mean      SD    2.5%      25%      50%      75%    97.5%
## intercept -2.51625 0.03513 -2.5865 -2.53987 -2.51600 -2.49271 -2.44743
## X29_mean  -0.22527 0.04243 -0.3066 -0.25417 -0.22572 -0.19672 -0.13970
## X40       -0.21375 0.03495 -0.2825 -0.23731 -0.21345 -0.18945 -0.14647
## X45       -0.04969 0.04181 -0.1306 -0.07771 -0.05074 -0.02117  0.03277
## 
##   [HB] ✗ Iter 5 — CI menyeberang nol: [X45]
##   [HB]   → Keluarkan 'X45'  (SD = 0.04181, terbesar)

## 
##   [HB Iter 6] Vars aktif (2): X29_mean, X40
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.5115 0.03618 -2.5804 -2.5356 -2.5112 -2.4873 -2.4397
## X29_mean  -0.2569 0.03707 -0.3286 -0.2818 -0.2571 -0.2317 -0.1835
## X40       -0.2255 0.03274 -0.2901 -0.2474 -0.2254 -0.2035 -0.1612
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 6.
##   [HB] ✓ Variabel final: X29_mean, X40
summary(df_s29[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct          RSE           RSE_hb    
##  Min.   : 0.51   Min.   : 1.86   Min.   :26.1   Min.   :17.4  
##  1st Qu.: 4.10   1st Qu.: 5.24   1st Qu.:39.3   1st Qu.:25.8  
##  Median : 8.24   Median : 8.25   Median :48.4   Median :28.0  
##  Mean   : 8.65   Mean   : 8.64   Mean   :52.3   Mean   :29.4  
##  3rd Qu.:11.12   3rd Qu.:10.67   3rd Qu.:61.0   3rd Qu.:32.4  
##  Max.   :26.70   Max.   :24.76   Max.   :98.8   Max.   :42.6
plot_rse(df_s29,"RSE","RSE_hb","Direct","HB-TN All","S29: HB Beta Top-n/10 — All Domain")
S29: HB Beta Top-n/10 All

S29: HB Beta Top-n/10 All

plot_hb_posterior(df_s29, "S29: HB Beta Top-n/10 — All Domain")
S29: HB Beta Posterior — All Domain

S29: HB Beta Posterior — All Domain

S30 — Top-n/10 · RSE-NB

cat("=== Skenario 30: HB TopN RSE-NB ===\n")
## === Skenario 30: HB TopN RSE-NB ===
df_s30 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_jenks),
  aux_fn   = seleksi_topn, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X27, X31_jumlah, X29_mean, X4, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X4                     0.4425       0.4608
##   X28_mean              -0.3437      -0.4251

## 
##   [HB Iter 1] Vars aktif (6): X3, X27, X31_jumlah, X29_mean, X4, X28_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.26329 0.02909 -2.31999 -2.28290 -2.26349 -2.24370 -2.20663
## X3          0.17086 0.04404  0.08330  0.14146  0.17107  0.20021  0.25660
## X27         0.04713 0.04366 -0.03898  0.01750  0.04757  0.07592  0.13427
## X31_jumlah -0.16663 0.03700 -0.23780 -0.19141 -0.16729 -0.14199 -0.09229
## X29_mean   -0.24692 0.05407 -0.35267 -0.28277 -0.24727 -0.21019 -0.14036
## X4         -0.04988 0.04328 -0.13374 -0.07891 -0.05023 -0.02031  0.03326
## X28_mean    0.14472 0.05204  0.04072  0.10944  0.14529  0.18050  0.24258
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X27, X4]
##   [HB]   → Keluarkan 'X27'  (SD = 0.04366, terbesar)

## 
##   [HB Iter 2] Vars aktif (5): X3, X31_jumlah, X29_mean, X4, X28_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.26048 0.02960 -2.31708 -2.28021 -2.26082 -2.24022 -2.20175
## X3          0.20406 0.03868  0.12916  0.17835  0.20437  0.22969  0.27910
## X31_jumlah -0.16525 0.03819 -0.24046 -0.19030 -0.16517 -0.13956 -0.09130
## X29_mean   -0.27945 0.05407 -0.38528 -0.31584 -0.27947 -0.24247 -0.17510
## X4         -0.05243 0.04084 -0.13225 -0.07994 -0.05271 -0.02509  0.02757
## X28_mean    0.16013 0.05290  0.05604  0.12553  0.15983  0.19527  0.26198
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X4]
##   [HB]   → Keluarkan 'X4'  (SD = 0.04084, terbesar)

## 
##   [HB Iter 3] Vars aktif (4): X3, X31_jumlah, X29_mean, X28_mean
##               Mean      SD     2.5%     25%     50%     75%    97.5%
## intercept  -2.2616 0.02819 -2.31622 -2.2805 -2.2614 -2.2428 -2.20612
## X3          0.1696 0.03147  0.10795  0.1485  0.1700  0.1915  0.22980
## X31_jumlah -0.1527 0.03621 -0.22271 -0.1772 -0.1532 -0.1281 -0.07935
## X29_mean   -0.2497 0.05220 -0.35234 -0.2851 -0.2494 -0.2138 -0.14802
## X28_mean    0.1375 0.04874  0.04298  0.1046  0.1370  0.1706  0.23247
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 3.
##   [HB] ✓ Variabel final: X3, X31_jumlah, X29_mean, X28_mean 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3973      -0.6324

## 
##   [HB Iter 1] Vars aktif (1): X31_mean
##             Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.509 0.06046 -3.6248 -3.5493 -3.5102 -3.4698 -3.3874
## X31_mean  -0.485 0.06442 -0.6101 -0.5289 -0.4853 -0.4407 -0.3604
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X31_mean
summary(df_s30[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.519   Min.   :26.1   Min.   : 5.44  
##  1st Qu.: 4.10   1st Qu.: 4.354   1st Qu.:39.3   1st Qu.:14.46  
##  Median : 8.24   Median : 8.433   Median :48.4   Median :16.89  
##  Mean   : 8.65   Mean   : 8.658   Mean   :52.3   Mean   :16.74  
##  3rd Qu.:11.12   3rd Qu.:11.102   3rd Qu.:61.0   3rd Qu.:18.86  
##  Max.   :26.70   Max.   :24.208   Max.   :98.8   Max.   :42.31
plot_rse(df_s30,"RSE","RSE_hb","Direct","HB-TN RSE-NB","S30: HB Beta Top-n/10 — RSE Natural Break")
S30: HB Beta Top-n/10 RSE Natural Break

S30: HB Beta Top-n/10 RSE Natural Break

plot_hb_posterior(df_s30, "S30: HB Beta Top-n/10 — RSE Natural Break", group_col = "grup_jenks")
S30: HB Beta Posterior — RSE Natural Break

S30: HB Beta Posterior — RSE Natural Break

S31 — Top-n/10 · RSE-ES

cat("=== Skenario 31: HB TopN RSE-ES ===\n")
## === Skenario 31: HB TopN RSE-ES ===
df_s31 <- run_on_segments(
  seg_list = split(df_base, df_base$grup_equal),
  aux_fn   = seleksi_topn, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X44_mean, X8, X39_jumlah, X27 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44_mean              -0.4399      -0.5825
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
##   X27                    0.4608       0.5500

## 
##   [HB Iter 1] Vars aktif (4): X44_mean, X8, X39_jumlah, X27
##                Mean      SD     2.5%      25%      50%      75%   97.5%
## intercept  -2.15909 0.02871 -2.21533 -2.17833 -2.15924 -2.13991 -2.1026
## X44_mean   -0.02522 0.04869 -0.12133 -0.05893 -0.02485  0.01072  0.0646
## X8          0.12573 0.04327  0.04454  0.09573  0.12558  0.15592  0.2090
## X39_jumlah -0.16478 0.03217 -0.22997 -0.18602 -0.16342 -0.14259 -0.1034
## X27         0.09056 0.03520  0.02294  0.06687  0.08997  0.11399  0.1617
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X44_mean]
##   [HB]   → Keluarkan 'X44_mean'  (SD = 0.04869, terbesar)

## 
##   [HB Iter 2] Vars aktif (3): X8, X39_jumlah, X27
##                Mean      SD     2.5%      25%      50%     75%   97.5%
## intercept  -2.15593 0.02769 -2.20940 -2.17496 -2.15688 -2.1374 -2.0992
## X8          0.13896 0.03518  0.06892  0.11451  0.13973  0.1636  0.2049
## X39_jumlah -0.17079 0.03334 -0.23518 -0.19445 -0.17096 -0.1483 -0.1050
## X27         0.09676 0.03565  0.02828  0.07256  0.09625  0.1211  0.1673
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 2.
##   [HB] ✓ Variabel final: X8, X39_jumlah, X27 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X27_mean, X28_mean, X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X27_mean              -0.4069      -0.5399
##   X28_mean              -0.4137      -0.5322
##   X36_mean              -0.3461      -0.5315

## 
##   [HB Iter 1] Vars aktif (3): X27_mean, X28_mean, X36_mean
##              Mean      SD    2.5%     25%     50%      75%    97.5%
## intercept -3.0697 0.05422 -3.1745 -3.1077 -3.0703 -3.03274 -2.96241
## X27_mean  -0.2138 0.08502 -0.3804 -0.2700 -0.2166 -0.15841 -0.04124
## X28_mean  -0.1123 0.08213 -0.2756 -0.1668 -0.1109 -0.05766  0.04929
## X36_mean  -0.2259 0.08458 -0.3956 -0.2819 -0.2281 -0.17053 -0.05721
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X28_mean]
##   [HB]   → Keluarkan 'X28_mean'  (SD = 0.08213, terbesar)

## 
##   [HB Iter 2] Vars aktif (2): X27_mean, X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.0475 0.05381 -3.1519 -3.0844 -3.0467 -3.0112 -2.9428
## X27_mean  -0.2905 0.06954 -0.4281 -0.3372 -0.2904 -0.2429 -0.1565
## X36_mean  -0.2610 0.06894 -0.3972 -0.3054 -0.2612 -0.2153 -0.1280
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 2.
##   [HB] ✓ Variabel final: X27_mean, X36_mean
summary(df_s31[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.544   Min.   :26.1   Min.   : 5.01  
##  1st Qu.: 4.10   1st Qu.: 4.141   1st Qu.:39.3   1st Qu.: 6.84  
##  Median : 8.24   Median : 8.209   Median :48.4   Median : 8.61  
##  Mean   : 8.65   Mean   : 8.647   Mean   :52.3   Mean   :10.54  
##  3rd Qu.:11.12   3rd Qu.:11.143   3rd Qu.:61.0   3rd Qu.:12.49  
##  Max.   :26.70   Max.   :26.443   Max.   :98.8   Max.   :31.40
plot_rse(df_s31,"RSE","RSE_hb","Direct","HB-TN RSE-ES","S31: HB Beta Top-n/10 — RSE Equal Size")
S31: HB Beta Top-n/10 RSE Equal Size

S31: HB Beta Top-n/10 RSE Equal Size

plot_hb_posterior(df_s31, "S31: HB Beta Top-n/10 — RSE Equal Size", group_col = "grup_equal")
S31: HB Beta Posterior — RSE Equal Size

S31: HB Beta Posterior — RSE Equal Size

S32 — Top-n/10 · Cluster

cat("=== Skenario 32: HB TopN Cluster ===\n")
## === Skenario 32: HB TopN Cluster ===
df_s32 <- run_on_segments(
  seg_list = split(df_base, df_base$cluster_tn_logit),
  aux_fn   = seleksi_topn, model_fn = run_hbbeta, y_col = "y_logit", min_n = 5
)
##   [ Cluster_1 ] y_logit | n = 70 | Vars: X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3091      -0.3196
##   X25_jumlah            -0.2038      -0.2746
##   X33_mean              -0.2294      -0.2340
##   X31_mean              -0.1967      -0.2304
##   X48                   -0.2223      -0.2146
##   X35_jumlah            -0.2500      -0.2117
##   X12_mean              -0.1739      -0.2109

## 
##   [HB Iter 1] Vars aktif (7): X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.41550 0.03837 -2.48810 -2.44245 -2.41547 -2.38931 -2.34054
## X40        -0.16230 0.03813 -0.23613 -0.18873 -0.16262 -0.13554 -0.08937
## X25_jumlah -0.08516 0.04158 -0.16658 -0.11356 -0.08566 -0.05612 -0.00425
## X33_mean   -0.10986 0.04003 -0.18889 -0.13669 -0.10974 -0.08361 -0.02971
## X31_mean    0.05369 0.04969 -0.04501  0.02022  0.05369  0.08810  0.14863
## X48        -0.03763 0.04390 -0.12448 -0.06676 -0.03808 -0.00845  0.04829
## X35_jumlah -0.09226 0.03992 -0.17282 -0.11871 -0.09282 -0.06529 -0.01337
## X12_mean   -0.08932 0.04610 -0.17796 -0.11983 -0.08986 -0.05828  0.00197
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X31_mean, X48, X12_mean]
##   [HB]   → Keluarkan 'X31_mean'  (SD = 0.04969, terbesar)

## 
##   [HB Iter 2] Vars aktif (6): X40, X25_jumlah, X33_mean, X48, X35_jumlah, X12_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.41980 0.03830 -2.49566 -2.44568 -2.41982 -2.39380 -2.34585
## X40        -0.16942 0.03822 -0.24415 -0.19496 -0.16947 -0.14481 -0.09331
## X25_jumlah -0.07603 0.03895 -0.15120 -0.10224 -0.07684 -0.04978  0.00258
## X33_mean   -0.10647 0.03913 -0.18291 -0.13295 -0.10579 -0.07924 -0.03172
## X48        -0.01870 0.04086 -0.09921 -0.04611 -0.01855  0.00827  0.06272
## X35_jumlah -0.08286 0.03941 -0.16018 -0.10872 -0.08318 -0.05705 -0.00545
## X12_mean   -0.06330 0.04025 -0.14064 -0.09092 -0.06321 -0.03674  0.01569
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X25_jumlah, X48, X12_mean]
##   [HB]   → Keluarkan 'X48'  (SD = 0.04086, terbesar)

## 
##   [HB Iter 3] Vars aktif (5): X40, X25_jumlah, X33_mean, X35_jumlah, X12_mean
##                Mean      SD    2.5%      25%      50%      75%    97.5%
## intercept  -2.41679 0.03798 -2.4892 -2.44331 -2.41681 -2.39115 -2.34257
## X40        -0.17695 0.03595 -0.2471 -0.20124 -0.17709 -0.15291 -0.10543
## X25_jumlah -0.07801 0.03923 -0.1532 -0.10495 -0.07789 -0.05132 -0.00122
## X33_mean   -0.10967 0.03921 -0.1871 -0.13638 -0.10943 -0.08343 -0.03333
## X35_jumlah -0.08244 0.03962 -0.1578 -0.10930 -0.08215 -0.05598 -0.00453
## X12_mean   -0.06770 0.03795 -0.1435 -0.09293 -0.06803 -0.04256  0.00830
## 
##   [HB] ✗ Iter 3 — CI menyeberang nol: [X12_mean]
##   [HB]   → Keluarkan 'X12_mean'  (SD = 0.03795, terbesar)

## 
##   [HB Iter 4] Vars aktif (4): X40, X25_jumlah, X33_mean, X35_jumlah
##                Mean      SD    2.5%     25%      50%      75%    97.5%
## intercept  -2.41544 0.03879 -2.4920 -2.4418 -2.41503 -2.38945 -2.33925
## X40        -0.17219 0.03627 -0.2450 -0.1967 -0.17222 -0.14747 -0.10130
## X25_jumlah -0.09541 0.03865 -0.1716 -0.1221 -0.09494 -0.06954 -0.02069
## X33_mean   -0.12129 0.03856 -0.1960 -0.1480 -0.12224 -0.09581 -0.04437
## X35_jumlah -0.09018 0.03909 -0.1685 -0.1162 -0.08994 -0.06373 -0.01535
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 4.
##   [HB] ✓ Variabel final: X40, X25_jumlah, X33_mean, X35_jumlah 
##   [ Cluster_2 ] y_logit | n = 11 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3819      -0.6313

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean     SD    2.5%     25%    50%    75%   97.5%
## intercept -3.2833 0.1056 -3.4891 -3.3540 -3.283 -3.213 -3.0710
## X36_mean  -0.4585 0.1098 -0.6738 -0.5316 -0.460 -0.385 -0.2457
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean
summary(df_s32[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb    
##  Min.   : 0.51   Min.   : 0.782   Min.   :26.1   Min.   :17.1  
##  1st Qu.: 4.10   1st Qu.: 4.924   1st Qu.:39.3   1st Qu.:24.1  
##  Median : 8.24   Median : 8.409   Median :48.4   Median :26.5  
##  Mean   : 8.65   Mean   : 8.659   Mean   :52.3   Mean   :28.0  
##  3rd Qu.:11.12   3rd Qu.:10.563   3rd Qu.:61.0   3rd Qu.:30.4  
##  Max.   :26.70   Max.   :24.867   Max.   :98.8   Max.   :46.9
plot_rse(df_s32,"RSE","RSE_hb","Direct","HB-TN Cluster","S32: HB Beta Top-n/10 — Cluster Aux")
S32: HB Beta Top-n/10 Cluster-Aux

S32: HB Beta Top-n/10 Cluster-Aux

plot_hb_posterior(df_s32, "S32: HB Beta Top-n/10 — Cluster Aux",
                  group_col = "cluster_tn_logit")
S32: HB Beta Posterior — Cluster Aux (A2-Logit)

S32: HB Beta Posterior — Cluster Aux (A2-Logit)


9. Skenario Refined S33–S64 · RSE > 25% Re-modelled

Skenario 33–64 adalah versi refined dari S1–S32. Setelah run model utama, domain dengan RSE > 25% di-pool per grup asalnya dan dimodelkan ulang dengan seleksi aux baru (aux bisa berbeda dari model utama). Estimasi dan RSE akhir = gabungan domain ≤25% (dari model utama) + domain >25% (dari re-run). Jika domain >25% < 4 dalam satu grup, fallback ke hasil model utama.

# ══════════════════════════════════════════════════════════════════════════════
# run_with_refine(): wrapper run_on_segments + 1x refinement domain RSE > 25%
#
# Alur:
#  [1] run_on_segments() normal → df_result
#  [2] Per segmen dalam seg_list: cari domain RSE > rse_threshold
#  [3] Jika cukup (≥ min_n_refine): ambil baris ASLI dari df_orig, re-run
#      dengan aux_fn BARU (seleksi ulang pada subset high-RSE)
#  [4] Update df_result: ganti kolom model-output domain bad dengan hasil re-run
#  [5] Return df_result final
#
# Catatan:
#  - "tetap split per grup asal": tiap segmen diproses mandiri
#  - model_cols dideteksi otomatis = kolom di df_result yg tidak ada di df_orig
#    (menghindari overwrite kolom aux yang sudah di-scale)
# ══════════════════════════════════════════════════════════════════════════════
run_with_refine <- function(seg_list, aux_fn, model_fn, y_col,
                             rse_col, df_orig,
                             rse_threshold = 25,
                             min_n_refine  = 4,
                             min_n         = 4,
                             ...) {

  # ── [1] Run model utama ────────────────────────────────────────────────────
  cat("  >>> Tahap 1: model utama\n")
  df_result <- run_on_segments(seg_list, aux_fn, model_fn, y_col,
                                min_n = min_n, ...)
  if (is.null(df_result)) return(NULL)

  # Kolom model = semua kolom baru yang ditambahkan model (bukan dari df_orig)
  model_cols <- setdiff(names(df_result), names(df_orig))

  # ── [2-4] Per segmen: identifikasi & refine domain high-RSE ───────────────
  cat("  >>> Tahap 2: refinement domain RSE >", rse_threshold, "%\n")

  for (nm in names(seg_list)) {
    kako_seg <- seg_list[[nm]]$Kako
    idx_seg  <- which(df_result$Kako %in% kako_seg)

    if (!rse_col %in% names(df_result)) {
      cat(sprintf("  [Refine|%s] Kolom '%s' tidak ada → skip\n", nm, rse_col))
      next
    }

    rse_vals <- df_result[[rse_col]][idx_seg]
    bad_mask <- !is.na(rse_vals) & rse_vals > rse_threshold
    bad_kako <- df_result$Kako[idx_seg[bad_mask]]

    cat(sprintf("  [Refine|%s] Domain RSE > %g%%: %d / %d\n",
                nm, rse_threshold, length(bad_kako), length(idx_seg)))

    if (length(bad_kako) < min_n_refine) {
      cat(sprintf("  [Refine|%s] < %d domain → skip, pakai hasil awal\n",
                  nm, min_n_refine))
      next
    }

    # [3] Subset ASLI dari df_orig (belum di-scale)
    df_bad <- df_orig[df_orig$Kako %in% bad_kako, ]

    cat(sprintf("  [Refine|%s] Re-run pada %d domain (aux dipilih ulang) ...\n",
                nm, nrow(df_bad)))

    df_ref <- tryCatch(
      run_on_segments(
        seg_list = setNames(list(df_bad), paste0(nm, "_ref")),
        aux_fn   = aux_fn,
        model_fn = model_fn,
        y_col    = y_col,
        min_n    = min_n,
        ...
      ),
      error = function(e) {
        cat(sprintf("  [Refine|%s] Error: %s → pakai hasil awal\n", nm, e$message))
        NULL
      }
    )

    if (is.null(df_ref)) next

    # [4] Update df_result: ganti model_cols untuk domain bad
    upd_kako <- intersect(df_ref$Kako, bad_kako)
    upd_res  <- match(upd_kako, df_result$Kako)   # posisi di df_result
    upd_ref  <- match(upd_kako, df_ref$Kako)       # posisi di df_ref

    for (col in model_cols) {
      if (col %in% names(df_ref)) {
        df_result[[col]][upd_res] <- df_ref[[col]][upd_ref]
      }
    }
    cat(sprintf("  [Refine|%s] ✓ %d domain diperbarui\n", nm, length(upd_kako)))
  }

  df_result
}

EBLUP Refined

S33 — Backward · All

cat("=== S33: EBLUP Backward All + Refine ===\n")
## === S33: EBLUP Backward All + Refine ===
df_s33 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_backward,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ All ] Estimasi | n = 81 | Vars: X40, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3690      -0.3705
##   X29_mean              -0.3220      -0.3921
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 67 / 81
##   [Refine|All] Re-run pada 67 domain (aux dipilih ulang) ...
##   [ All_ref ] Estimasi | n = 67 | Vars: X31_jumlah, X45 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_jumlah            -0.3016      -0.2975
##   X45                   -0.2999      -0.3190
## 
##   [Refine|All] ✓ 67 domain diperbarui
summary(df_s33[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup         RSE_direct     RSE_eblup   
##  Min.   : 0.51   Min.   : 0.594   Min.   :26.1   Min.   :20.7  
##  1st Qu.: 4.10   1st Qu.: 4.677   1st Qu.:39.3   1st Qu.:30.2  
##  Median : 8.24   Median : 6.321   Median :48.4   Median :34.8  
##  Mean   : 8.65   Mean   : 6.260   Mean   :52.3   Mean   :35.8  
##  3rd Qu.:11.12   3rd Qu.: 7.382   3rd Qu.:61.0   3rd Qu.:39.4  
##  Max.   :26.70   Max.   :14.102   Max.   :98.8   Max.   :83.9
plot_rse(df_s33,"RSE_direct","RSE_eblup","Direct","EBLUP-BK-R All","S33: EBLUP Backward All — Refined")
S33: EBLUP Backward All + Refine

S33: EBLUP Backward All + Refine

S34 — Backward · RSE-NB

cat("=== S34: EBLUP Backward RSE-NB + Refine ===\n")
## === S34: EBLUP Backward RSE-NB + Refine ===
df_s34 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_backward,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] Estimasi | n = 60 | Vars: X3, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   [ G2_RSE_Tinggi ] Estimasi | n = 21 | Vars: X41_jumlah, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X41_jumlah             0.4969       0.5170
##   X28_mean              -0.4481      -0.6093
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 60 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 60 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] Estimasi | n = 60 | Vars: X3, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   [Refine|G1_RSE_Rendah] ✓ 60 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 16 / 21
##   [Refine|G2_RSE_Tinggi] Re-run pada 16 domain (aux dipilih ulang) ...
##   [ G2_RSE_Tinggi_ref ] Estimasi | n = 16 | Vars: X41_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X41_jumlah             0.6334       0.6140
## 
##   [Refine|G2_RSE_Tinggi] ✓ 16 domain diperbarui
summary(df_s34[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup        RSE_direct     RSE_eblup   
##  Min.   : 0.51   Min.   :0.745   Min.   :26.1   Min.   :19.6  
##  1st Qu.: 4.10   1st Qu.:4.885   1st Qu.:39.3   1st Qu.:55.4  
##  Median : 8.24   Median :8.250   Median :48.4   Median :55.4  
##  Mean   : 8.65   Mean   :6.675   Mean   :52.3   Mean   :50.0  
##  3rd Qu.:11.12   3rd Qu.:8.250   3rd Qu.:61.0   3rd Qu.:55.4  
##  Max.   :26.70   Max.   :8.250   Max.   :98.8   Max.   :98.9
plot_rse(df_s34,"RSE_direct","RSE_eblup","Direct","EBLUP-BK-R RSE-NB","S34: EBLUP Backward RSE-NB — Refined")
S34: EBLUP Backward RSE-NB + Refine

S34: EBLUP Backward RSE-NB + Refine

S35 — Backward · RSE-ES

cat("=== S35: EBLUP Backward RSE-ES + Refine ===\n")
## === S35: EBLUP Backward RSE-ES + Refine ===
df_s35 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_backward,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] Estimasi | n = 41 | Vars: X3, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4689       0.4949
##   X31_jumlah            -0.4520      -0.5349
##   [ G2_RSE_Atas ] Estimasi | n = 40 | Vars: X40_mean, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_mean              -0.4352      -0.3638
##   X28_mean              -0.4137      -0.5322
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 41 / 41
##   [Refine|G1_RSE_Bawah] Re-run pada 41 domain (aux dipilih ulang) ...
##   [ G1_RSE_Bawah_ref ] Estimasi | n = 41 | Vars: X3, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4689       0.4949
##   X31_jumlah            -0.4520      -0.5349
##   [Refine|G1_RSE_Bawah] ✓ 41 domain diperbarui
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 9 / 40
##   [Refine|G2_RSE_Atas] Re-run pada 9 domain (aux dipilih ulang) ...
##   [ G2_RSE_Atas_ref ] Estimasi | n = 9 | Vars: X1_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X1_mean               -0.8859      -0.8874
## 
##   [Refine|G2_RSE_Atas] ✓ 9 domain diperbarui
summary(df_s35[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup        RSE_direct     RSE_eblup    
##  Min.   : 0.51   Min.   :0.589   Min.   :26.1   Min.   : 15.1  
##  1st Qu.: 4.10   1st Qu.:2.604   1st Qu.:39.3   1st Qu.: 20.6  
##  Median : 8.24   Median :7.940   Median :48.4   Median : 42.0  
##  Mean   : 8.65   Mean   :5.270   Mean   :52.3   Mean   : 35.1  
##  3rd Qu.:11.12   3rd Qu.:7.940   3rd Qu.:61.0   3rd Qu.: 42.0  
##  Max.   :26.70   Max.   :7.940   Max.   :98.8   Max.   :104.2
plot_rse(df_s35,"RSE_direct","RSE_eblup","Direct","EBLUP-BK-R RSE-ES","S35: EBLUP Backward RSE-ES — Refined")
S35: EBLUP Backward RSE-ES + Refine

S35: EBLUP Backward RSE-ES + Refine

S36 — Backward · Cluster

cat("=== S36: EBLUP Backward Cluster + Refine ===\n")
## === S36: EBLUP Backward Cluster + Refine ===
df_s36 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_bk_normal), aux_fn = seleksi_backward,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] Estimasi | n = 60 | Vars: X47, X8 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X47                    0.3911       0.3619
##   X8                     0.3176       0.3266
## 
##   [ Cluster_2 ] Estimasi | n = 21 | Vars: X35, X40_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X35                   -0.3773      -0.2798
##   X40_jumlah            -0.3419      -0.3562
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 60 / 60
##   [Refine|Cluster_1] Re-run pada 60 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] Estimasi | n = 60 | Vars: X47, X8 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X47                    0.3911       0.3619
##   X8                     0.3176       0.3266
## 
##   [Refine|Cluster_1] ✓ 60 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 8 / 21
##   [Refine|Cluster_2] Re-run pada 8 domain (aux dipilih ulang) ...
##   [ Cluster_2_ref ] Estimasi | n = 8 | Vars: X6_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X6_jumlah              0.8317       0.7331
## 
##   [Refine|Cluster_2] ✓ 8 domain diperbarui
summary(df_s36[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup         RSE_direct     RSE_eblup   
##  Min.   : 0.51   Min.   : 0.636   Min.   :26.1   Min.   :20.6  
##  1st Qu.: 4.10   1st Qu.: 3.973   1st Qu.:39.3   1st Qu.:29.5  
##  Median : 8.24   Median : 6.411   Median :48.4   Median :35.1  
##  Mean   : 8.65   Mean   : 6.407   Mean   :52.3   Mean   :37.0  
##  3rd Qu.:11.12   3rd Qu.: 7.739   3rd Qu.:61.0   3rd Qu.:43.1  
##  Max.   :26.70   Max.   :15.818   Max.   :98.8   Max.   :78.3
plot_rse(df_s36,"RSE_direct","RSE_eblup","Direct","EBLUP-BK-R Cluster","S36: EBLUP Backward Cluster — Refined")
S36: EBLUP Backward Cluster + Refine

S36: EBLUP Backward Cluster + Refine

S37 — Top-n/10 · All

cat("=== S37: EBLUP TopN All + Refine ===\n")
## === S37: EBLUP TopN All + Refine ===
df_s37 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_topn,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ All ] Estimasi | n = 81 | Vars: X40, X8, X45, X36_mean, X29_mean, X27, X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3690      -0.3705
##   X8                     0.3439       0.3797
##   X45                   -0.3224      -0.3604
##   X36_mean              -0.3220      -0.4311
##   X29_mean              -0.3220      -0.3921
##   X27                    0.3197       0.3124
##   X31_mean              -0.3188      -0.3953
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 73 / 81
##   [Refine|All] Re-run pada 73 domain (aux dipilih ulang) ...
##   [ All_ref ] Estimasi | n = 73 | Vars: X8_mean, X44_mean, X31_jumlah, X29_mean, X36_mean, X4, X3 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X8_mean                0.3481       0.3659
##   X44_mean              -0.3225      -0.3743
##   X31_jumlah            -0.3167      -0.3129
##   X29_mean              -0.3130      -0.3883
##   X36_mean              -0.3101      -0.4189
##   X4                     0.2954       0.2928
##   X3                     0.2935       0.2333
## 
##   [Refine|All] ✓ 73 domain diperbarui
summary(df_s37[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup         RSE_direct     RSE_eblup   
##  Min.   : 0.51   Min.   : 0.559   Min.   :26.1   Min.   :22.6  
##  1st Qu.: 4.10   1st Qu.: 4.628   1st Qu.:39.3   1st Qu.:30.4  
##  Median : 8.24   Median : 6.886   Median :48.4   Median :37.4  
##  Mean   : 8.65   Mean   : 6.602   Mean   :52.3   Mean   :38.3  
##  3rd Qu.:11.12   3rd Qu.: 8.198   3rd Qu.:61.0   3rd Qu.:42.2  
##  Max.   :26.70   Max.   :13.824   Max.   :98.8   Max.   :90.0
plot_rse(df_s37,"RSE_direct","RSE_eblup","Direct","EBLUP-TN-R All","S37: EBLUP Top-n/10 All — Refined")
S37: EBLUP Top-n/10 All + Refine

S37: EBLUP Top-n/10 All + Refine

S38 — Top-n/10 · RSE-NB

cat("=== S38: EBLUP TopN RSE-NB + Refine ===\n")
## === S38: EBLUP TopN RSE-NB + Refine ===
df_s38 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_topn,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] Estimasi | n = 60 | Vars: X3, X4, X27, X31_jumlah, X29_mean, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X4                     0.4425       0.4608
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X39_jumlah            -0.3610      -0.3605
##   [ G2_RSE_Tinggi ] Estimasi | n = 21 | Vars: X41_jumlah, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X41_jumlah             0.4969       0.5170
##   X28_mean              -0.4481      -0.6093
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 60 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 60 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] Estimasi | n = 60 | Vars: X3, X4, X27, X31_jumlah, X29_mean, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X4                     0.4425       0.4608
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X39_jumlah            -0.3610      -0.3605
##   [Refine|G1_RSE_Rendah] ✓ 60 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 16 / 21
##   [Refine|G2_RSE_Tinggi] Re-run pada 16 domain (aux dipilih ulang) ...
##   [ G2_RSE_Tinggi_ref ] Estimasi | n = 16 | Vars: X41_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X41_jumlah             0.6334       0.6140
## 
##   [Refine|G2_RSE_Tinggi] ✓ 16 domain diperbarui
summary(df_s38[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup        RSE_direct     RSE_eblup   
##  Min.   : 0.51   Min.   :0.745   Min.   :26.1   Min.   :19.6  
##  1st Qu.: 4.10   1st Qu.:4.885   1st Qu.:39.3   1st Qu.:55.4  
##  Median : 8.24   Median :8.250   Median :48.4   Median :55.4  
##  Mean   : 8.65   Mean   :6.675   Mean   :52.3   Mean   :50.0  
##  3rd Qu.:11.12   3rd Qu.:8.250   3rd Qu.:61.0   3rd Qu.:55.4  
##  Max.   :26.70   Max.   :8.250   Max.   :98.8   Max.   :98.9
plot_rse(df_s38,"RSE_direct","RSE_eblup","Direct","EBLUP-TN-R RSE-NB","S38: EBLUP Top-n/10 RSE-NB — Refined")
S38: EBLUP Top-n/10 RSE-NB + Refine

S38: EBLUP Top-n/10 RSE-NB + Refine

S39 — Top-n/10 · RSE-ES

cat("=== S39: EBLUP TopN RSE-ES + Refine ===\n")
## === S39: EBLUP TopN RSE-ES + Refine ===
df_s39 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_topn,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] Estimasi | n = 41 | Vars: X4, X3, X27, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X4                     0.4782       0.5323
##   X3                     0.4689       0.4949
##   X27                    0.4608       0.5500
##   X31_jumlah            -0.4520      -0.5349
##   [ G2_RSE_Atas ] Estimasi | n = 40 | Vars: X25_mean, X47, X40_mean, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X25_mean              -0.4527      -0.5200
##   X47                    0.4523       0.4163
##   X40_mean              -0.4352      -0.3638
##   X28_mean              -0.4137      -0.5322
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 41 / 41
##   [Refine|G1_RSE_Bawah] Re-run pada 41 domain (aux dipilih ulang) ...
##   [ G1_RSE_Bawah_ref ] Estimasi | n = 41 | Vars: X4, X3, X27, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X4                     0.4782       0.5323
##   X3                     0.4689       0.4949
##   X27                    0.4608       0.5500
##   X31_jumlah            -0.4520      -0.5349
##   [Refine|G1_RSE_Bawah] ✓ 41 domain diperbarui
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 18 / 40
##   [Refine|G2_RSE_Atas] Re-run pada 18 domain (aux dipilih ulang) ...
##   [ G2_RSE_Atas_ref ] Estimasi | n = 18 | Vars: X1 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X1                    -0.7871      -0.8524
## 
##   [Refine|G2_RSE_Atas] ✓ 18 domain diperbarui
summary(df_s39[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup       RSE_direct     RSE_eblup    
##  Min.   : 0.51   Min.   :0.46   Min.   :26.1   Min.   : 13.2  
##  1st Qu.: 4.10   1st Qu.:3.23   1st Qu.:39.3   1st Qu.: 24.1  
##  Median : 8.24   Median :7.94   Median :48.4   Median : 42.0  
##  Mean   : 8.65   Mean   :5.91   Mean   :52.3   Mean   : 36.6  
##  3rd Qu.:11.12   3rd Qu.:7.94   3rd Qu.:61.0   3rd Qu.: 42.0  
##  Max.   :26.70   Max.   :9.33   Max.   :98.8   Max.   :135.7
plot_rse(df_s39,"RSE_direct","RSE_eblup","Direct","EBLUP-TN-R RSE-ES","S39: EBLUP Top-n/10 RSE-ES — Refined")
S39: EBLUP Top-n/10 RSE-ES + Refine

S39: EBLUP Top-n/10 RSE-ES + Refine

S40 — Top-n/10 · Cluster

cat("=== S40: EBLUP TopN Cluster + Refine ===\n")
## === S40: EBLUP TopN Cluster + Refine ===
df_s40 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_tn_normal), aux_fn = seleksi_topn,
  model_fn = run_eblup, y_col = "Estimasi",
  rse_col = "RSE_eblup", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] Estimasi | n = 11 | Vars: X47 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X47                    0.7038       0.4875
## 
##   [ Cluster_2 ] Estimasi | n = 70 | Vars: X40, X48, X8, X35_jumlah, X45_jumlah, X44_jumlah, X3 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3196      -0.3335
##   X48                   -0.2726      -0.2762
##   X8                     0.2662       0.3094
##   X35_jumlah            -0.2568      -0.2167
##   X45_jumlah            -0.2369      -0.1636
##   X44_jumlah            -0.2345      -0.2020
##   X3                     0.2332       0.1541
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 11 / 11
##   [Refine|Cluster_1] Re-run pada 11 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] Estimasi | n = 11 | Vars: X47 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X47                    0.7038       0.4875
## 
##   [Refine|Cluster_1] ✓ 11 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 63 / 70
##   [Refine|Cluster_2] Re-run pada 63 domain (aux dipilih ulang) ...
##   [ Cluster_2_ref ] Estimasi | n = 63 | Vars: X40_mean, X8_mean, X3, X48, X31_mean, X45_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_mean              -0.3335      -0.3164
##   X8_mean                0.2564       0.2951
##   X3                     0.2497       0.1638
##   X48                   -0.2386      -0.2380
##   X31_mean              -0.2339      -0.2743
##   X45_jumlah            -0.2299      -0.1366
## 
##   [Refine|Cluster_2] ✓ 63 domain diperbarui
summary(df_s40[, c("Estimasi","y_eblup","RSE_direct","RSE_eblup")])
##     Estimasi        y_eblup         RSE_direct     RSE_eblup   
##  Min.   : 0.51   Min.   : 0.718   Min.   :26.1   Min.   :22.3  
##  1st Qu.: 4.10   1st Qu.: 4.280   1st Qu.:39.3   1st Qu.:28.7  
##  Median : 8.24   Median : 6.759   Median :48.4   Median :38.6  
##  Mean   : 8.65   Mean   : 6.626   Mean   :52.3   Mean   :38.6  
##  3rd Qu.:11.12   3rd Qu.: 8.843   3rd Qu.:61.0   3rd Qu.:45.8  
##  Max.   :26.70   Max.   :15.059   Max.   :98.8   Max.   :72.6
plot_rse(df_s40,"RSE_direct","RSE_eblup","Direct","EBLUP-TN-R Cluster","S40: EBLUP Top-n/10 Cluster — Refined")
S40: EBLUP Top-n/10 Cluster + Refine

S40: EBLUP Top-n/10 Cluster + Refine

GLMM Refined

S41 — Backward · All

cat("=== S41: GLMM Backward All + Refine ===\n")
## === S41: GLMM Backward All + Refine ===
df_s41 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_backward,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X40 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X40                   -0.3690      -0.3705
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 30 / 81
##   [Refine|All] Re-run pada 30 domain (aux dipilih ulang) ...
##   [ All_ref ] y_logit | n = 30 | Vars: X31_jumlah, X33_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_jumlah            -0.4510      -0.5430
##   X33_mean              -0.4403      -0.5255
## 
##   [Refine|All] ✓ 30 domain diperbarui
summary(df_s41[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm         RSE_direct      RSE_glmm     
##  Min.   : 0.51   Min.   : 0.606   Min.   :26.1   Min.   :  1.18  
##  1st Qu.: 4.10   1st Qu.: 4.763   1st Qu.:39.3   1st Qu.:  8.10  
##  Median : 8.24   Median : 7.491   Median :48.4   Median : 15.83  
##  Mean   : 8.65   Mean   : 7.643   Mean   :52.3   Mean   : 23.21  
##  3rd Qu.:11.12   3rd Qu.: 8.904   3rd Qu.:61.0   3rd Qu.: 24.12  
##  Max.   :26.70   Max.   :18.196   Max.   :98.8   Max.   :121.33
plot_rse(df_s41,"RSE_direct","RSE_glmm","Direct","GLMM-BK-R All","S41: GLMM Backward All — Refined")
S41: GLMM Backward All + Refine

S41: GLMM Backward All + Refine

S42 — Backward · RSE-NB

cat("=== S42: GLMM Backward RSE-NB + Refine ===\n")
## === S42: GLMM Backward RSE-NB + Refine ===
df_s42 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_backward,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X31_jumlah, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
## 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.4287      -0.6631
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 4 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 4 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] y_logit | n = 4 | Vars: X48 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X48                   -0.9524      -0.9788
## 
##   [Refine|G1_RSE_Rendah] ✓ 4 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 0 / 21
##   [Refine|G2_RSE_Tinggi] < 4 domain → skip, pakai hasil awal
summary(df_s42[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm         RSE_direct      RSE_glmm    
##  Min.   : 0.51   Min.   : 0.567   Min.   :26.1   Min.   : 2.35  
##  1st Qu.: 4.10   1st Qu.: 3.355   1st Qu.:39.3   1st Qu.: 2.91  
##  Median : 8.24   Median : 7.865   Median :48.4   Median : 5.74  
##  Mean   : 8.65   Mean   : 7.611   Mean   :52.3   Mean   : 7.95  
##  3rd Qu.:11.12   3rd Qu.:10.369   3rd Qu.:61.0   3rd Qu.:11.81  
##  Max.   :26.70   Max.   :19.359   Max.   :98.8   Max.   :24.93
plot_rse(df_s42,"RSE_direct","RSE_glmm","Direct","GLMM-BK-R RSE-NB","S42: GLMM Backward RSE-NB — Refined")
S42: GLMM Backward RSE-NB + Refine

S42: GLMM Backward RSE-NB + Refine

S43 — Backward · RSE-ES

cat("=== S43: GLMM Backward RSE-ES + Refine ===\n")
## === S43: GLMM Backward RSE-ES + Refine ===
df_s43 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_backward,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X8, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
## 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3763      -0.5547
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 0 / 41
##   [Refine|G1_RSE_Bawah] < 4 domain → skip, pakai hasil awal
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 4 / 40
##   [Refine|G2_RSE_Atas] Re-run pada 4 domain (aux dipilih ulang) ...
##   [ G2_RSE_Atas_ref ] y_logit | n = 4 | Vars: X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X28_mean              -0.9506      -0.9817
## 
##   [Refine|G2_RSE_Atas] ✓ 4 domain diperbarui
summary(df_s43[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm         RSE_direct      RSE_glmm     
##  Min.   : 0.51   Min.   : 0.417   Min.   :26.1   Min.   : 0.843  
##  1st Qu.: 4.10   1st Qu.: 4.191   1st Qu.:39.3   1st Qu.: 1.036  
##  Median : 8.24   Median : 6.490   Median :48.4   Median : 3.031  
##  Mean   : 8.65   Mean   : 7.266   Mean   :52.3   Mean   : 6.319  
##  3rd Qu.:11.12   3rd Qu.:10.685   3rd Qu.:61.0   3rd Qu.:10.378  
##  Max.   :26.70   Max.   :13.162   Max.   :98.8   Max.   :22.858
plot_rse(df_s43,"RSE_direct","RSE_glmm","Direct","GLMM-BK-R RSE-ES","S43: GLMM Backward RSE-ES — Refined")
S43: GLMM Backward RSE-ES + Refine

S43: GLMM Backward RSE-ES + Refine

S44 — Backward · Cluster

cat("=== S44: GLMM Backward Cluster + Refine ===\n")
## === S44: GLMM Backward Cluster + Refine ===
df_s44 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_bk_logit), aux_fn = seleksi_backward,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] y_logit | n = 60 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3236      -0.4251
## 
##   [ Cluster_2 ] y_logit | n = 21 | Vars: X40_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_jumlah            -0.3419      -0.3562
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 29 / 60
##   [Refine|Cluster_1] Re-run pada 29 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] y_logit | n = 29 | Vars: X33_mean, X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X33_mean              -0.3775      -0.4178
##   X31_mean              -0.2626      -0.4096
## 
##   [Refine|Cluster_1] ✓ 29 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 0 / 21
##   [Refine|Cluster_2] < 4 domain → skip, pakai hasil awal
summary(df_s44[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm         RSE_direct      RSE_glmm     
##  Min.   : 0.51   Min.   : 0.609   Min.   :26.1   Min.   :  1.83  
##  1st Qu.: 4.10   1st Qu.: 4.569   1st Qu.:39.3   1st Qu.:  3.62  
##  Median : 8.24   Median : 7.536   Median :48.4   Median : 15.85  
##  Mean   : 8.65   Mean   : 7.713   Mean   :52.3   Mean   : 26.13  
##  3rd Qu.:11.12   3rd Qu.:10.896   3rd Qu.:61.0   3rd Qu.: 43.64  
##  Max.   :26.70   Max.   :18.077   Max.   :98.8   Max.   :211.26
plot_rse(df_s44,"RSE_direct","RSE_glmm","Direct","GLMM-BK-R Cluster","S44: GLMM Backward Cluster — Refined")
S44: GLMM Backward Cluster + Refine

S44: GLMM Backward Cluster + Refine

S45 — Top-n/10 · All

cat("=== S45: GLMM TopN All + Refine ===\n")
## === S45: GLMM TopN All + Refine ===
df_s45 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_topn,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X30_mean              -0.3041      -0.3975
##   X31_mean              -0.3188      -0.3953
##   X29_mean              -0.3220      -0.3921
##   X8                     0.3439       0.3797
##   X40                   -0.3690      -0.3705
##   X45                   -0.3224      -0.3604
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 30 / 81
##   [Refine|All] Re-run pada 30 domain (aux dipilih ulang) ...
##   [ All_ref ] y_logit | n = 30 | Vars: X33_mean, X36_jumlah, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X33_mean              -0.4148      -0.5075
##   X36_jumlah            -0.3662      -0.4857
##   X31_jumlah            -0.4011      -0.4710
## 
##   [Refine|All] ✓ 30 domain diperbarui
summary(df_s45[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm        RSE_direct      RSE_glmm     
##  Min.   : 0.51   Min.   : 0.77   Min.   :26.1   Min.   :  1.77  
##  1st Qu.: 4.10   1st Qu.: 4.87   1st Qu.:39.3   1st Qu.:  9.33  
##  Median : 8.24   Median : 7.38   Median :48.4   Median : 17.18  
##  Mean   : 8.65   Mean   : 7.72   Mean   :52.3   Mean   : 26.94  
##  3rd Qu.:11.12   3rd Qu.: 9.09   3rd Qu.:61.0   3rd Qu.: 33.27  
##  Max.   :26.70   Max.   :19.35   Max.   :98.8   Max.   :136.25
plot_rse(df_s45,"RSE_direct","RSE_glmm","Direct","GLMM-TN-R All","S45: GLMM Top-n/10 All — Refined")
S45: GLMM Top-n/10 All + Refine

S45: GLMM Top-n/10 All + Refine

S46 — Top-n/10 · RSE-NB

cat("=== S46: GLMM TopN RSE-NB + Refine ===\n")
## === S46: GLMM TopN RSE-NB + Refine ===
df_s46 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_topn,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X27, X31_jumlah, X29_mean, X4, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X4                     0.4425       0.4608
##   X28_mean              -0.3437      -0.4251
## 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3973      -0.6324
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 4 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 4 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] y_logit | n = 4 | Vars: X48 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X48                   -0.9524      -0.9788
## 
##   [Refine|G1_RSE_Rendah] ✓ 4 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 0 / 21
##   [Refine|G2_RSE_Tinggi] < 4 domain → skip, pakai hasil awal
summary(df_s46[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm         RSE_direct      RSE_glmm    
##  Min.   : 0.51   Min.   : 0.605   Min.   :26.1   Min.   : 2.00  
##  1st Qu.: 4.10   1st Qu.: 3.307   1st Qu.:39.3   1st Qu.: 2.96  
##  Median : 8.24   Median : 7.698   Median :48.4   Median : 5.86  
##  Mean   : 8.65   Mean   : 7.574   Mean   :52.3   Mean   : 7.77  
##  3rd Qu.:11.12   3rd Qu.:10.504   3rd Qu.:61.0   3rd Qu.:10.54  
##  Max.   :26.70   Max.   :19.359   Max.   :98.8   Max.   :24.82
plot_rse(df_s46,"RSE_direct","RSE_glmm","Direct","GLMM-TN-R RSE-NB","S46: GLMM Top-n/10 RSE-NB — Refined")
S46: GLMM Top-n/10 RSE-NB + Refine

S46: GLMM Top-n/10 RSE-NB + Refine

S47 — Top-n/10 · RSE-ES

cat("=== S47: GLMM TopN RSE-ES + Refine ===\n")
## === S47: GLMM TopN RSE-ES + Refine ===
df_s47 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_topn,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X44_mean, X8, X39_jumlah, X27 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44_mean              -0.4399      -0.5825
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
##   X27                    0.4608       0.5500
## 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X27_mean, X28_mean, X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X27_mean              -0.4069      -0.5399
##   X28_mean              -0.4137      -0.5322
##   X36_mean              -0.3461      -0.5315
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 0 / 41
##   [Refine|G1_RSE_Bawah] < 4 domain → skip, pakai hasil awal
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 3 / 40
##   [Refine|G2_RSE_Atas] < 4 domain → skip, pakai hasil awal
summary(df_s47[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm        RSE_direct      RSE_glmm    
##  Min.   : 0.51   Min.   : 0.65   Min.   :26.1   Min.   : 1.04  
##  1st Qu.: 4.10   1st Qu.: 4.51   1st Qu.:39.3   1st Qu.: 1.55  
##  Median : 8.24   Median : 6.58   Median :48.4   Median : 3.71  
##  Mean   : 8.65   Mean   : 7.36   Mean   :52.3   Mean   : 8.28  
##  3rd Qu.:11.12   3rd Qu.:10.90   3rd Qu.:61.0   3rd Qu.:13.87  
##  Max.   :26.70   Max.   :14.75   Max.   :98.8   Max.   :58.20
plot_rse(df_s47,"RSE_direct","RSE_glmm","Direct","GLMM-TN-R RSE-ES","S47: GLMM Top-n/10 RSE-ES — Refined")
S47: GLMM Top-n/10 RSE-ES + Refine

S47: GLMM Top-n/10 RSE-ES + Refine

S48 — Top-n/10 · Cluster

cat("=== S48: GLMM TopN Cluster + Refine ===\n")
## === S48: GLMM TopN Cluster + Refine ===
df_s48 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_tn_logit), aux_fn = seleksi_topn,
  model_fn = run_glmm, y_col = "y_logit",
  rse_col = "RSE_glmm", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] y_logit | n = 70 | Vars: X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3091      -0.3196
##   X25_jumlah            -0.2038      -0.2746
##   X33_mean              -0.2294      -0.2340
##   X31_mean              -0.1967      -0.2304
##   X48                   -0.2223      -0.2146
##   X35_jumlah            -0.2500      -0.2117
##   X12_mean              -0.1739      -0.2109
## 
##   [ Cluster_2 ] y_logit | n = 11 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3819      -0.6313
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 23 / 70
##   [Refine|Cluster_1] Re-run pada 23 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] y_logit | n = 23 | Vars: X33_mean, X44_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X33_mean              -0.3129      -0.4100
##   X44_jumlah            -0.3119      -0.3675
## 
##   [Refine|Cluster_1] ✓ 23 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 1 / 11
##   [Refine|Cluster_2] < 4 domain → skip, pakai hasil awal
summary(df_s48[, c("Estimasi","y_glmm","RSE_direct","RSE_glmm")])
##     Estimasi         y_glmm        RSE_direct      RSE_glmm     
##  Min.   : 0.51   Min.   : 1.12   Min.   :26.1   Min.   :  2.05  
##  1st Qu.: 4.10   1st Qu.: 4.40   1st Qu.:39.3   1st Qu.:  7.17  
##  Median : 8.24   Median : 7.48   Median :48.4   Median : 16.43  
##  Mean   : 8.65   Mean   : 7.73   Mean   :52.3   Mean   : 28.24  
##  3rd Qu.:11.12   3rd Qu.: 9.27   3rd Qu.:61.0   3rd Qu.: 27.86  
##  Max.   :26.70   Max.   :20.13   Max.   :98.8   Max.   :280.17
plot_rse(df_s48,"RSE_direct","RSE_glmm","Direct","GLMM-TN-R Cluster","S48: GLMM Top-n/10 Cluster — Refined")
S48: GLMM Top-n/10 Cluster + Refine

S48: GLMM Top-n/10 Cluster + Refine

EB Beta Refined

S49 — Backward · All

cat("=== S49: EB Backward All + Refine ===\n")
## === S49: EB Backward All + Refine ===
df_s49 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_backward,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X40 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X40                   -0.3690      -0.3705
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 80 / 81
##   [Refine|All] Re-run pada 80 domain (aux dipilih ulang) ...
##   [ All_ref ] y_logit | n = 80 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3404      -0.4446
## 
##   [Refine|All] ✓ 80 domain diperbarui
summary(df_s49[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.564   Min.   :26.1   Min.   :24.6  
##  1st Qu.: 4.10   1st Qu.: 5.054   1st Qu.:39.3   1st Qu.:35.0  
##  Median : 8.24   Median : 7.692   Median :48.4   Median :41.8  
##  Mean   : 8.65   Mean   : 7.702   Mean   :52.3   Mean   :41.7  
##  3rd Qu.:11.12   3rd Qu.: 9.445   3rd Qu.:61.0   3rd Qu.:46.4  
##  Max.   :26.70   Max.   :16.532   Max.   :98.8   Max.   :88.4
plot_rse(df_s49,"RSE_direct","RSE_eb","Direct","EB-BK-R All","S49: EB Beta Backward All — Refined")
S49: EB Beta Backward All + Refine

S49: EB Beta Backward All + Refine

S50 — Backward · RSE-NB

cat("=== S50: EB Backward RSE-NB + Refine ===\n")
## === S50: EB Backward RSE-NB + Refine ===
df_s50 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_backward,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X31_jumlah, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
## 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.4287      -0.6631
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 58 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 58 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] y_logit | n = 58 | Vars: X3, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4986       0.4995
##   X29_mean              -0.3950      -0.4783
## 
##   [Refine|G1_RSE_Rendah] ✓ 58 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 21 / 21
##   [Refine|G2_RSE_Tinggi] Re-run pada 21 domain (aux dipilih ulang) ...
##   [ G2_RSE_Tinggi_ref ] y_logit | n = 21 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.4287      -0.6631
## 
##   [Refine|G2_RSE_Tinggi] ✓ 21 domain diperbarui
summary(df_s50[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.497   Min.   :26.1   Min.   :24.0  
##  1st Qu.: 4.10   1st Qu.: 4.043   1st Qu.:39.3   1st Qu.:32.3  
##  Median : 8.24   Median : 8.029   Median :48.4   Median :37.1  
##  Mean   : 8.65   Mean   : 7.964   Mean   :52.3   Mean   :40.1  
##  3rd Qu.:11.12   3rd Qu.:10.645   3rd Qu.:61.0   3rd Qu.:46.8  
##  Max.   :26.70   Max.   :17.764   Max.   :98.8   Max.   :91.2
plot_rse(df_s50,"RSE_direct","RSE_eb","Direct","EB-BK-R RSE-NB","S50: EB Beta Backward RSE-NB — Refined")
S50: EB Beta Backward RSE-NB + Refine

S50: EB Beta Backward RSE-NB + Refine

S51 — Backward · RSE-ES

cat("=== S51: EB Backward RSE-ES + Refine ===\n")
## === S51: EB Backward RSE-ES + Refine ===
df_s51 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_backward,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X8, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
## 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3763      -0.5547
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 39 / 41
##   [Refine|G1_RSE_Bawah] Re-run pada 39 domain (aux dipilih ulang) ...
##   [ G1_RSE_Bawah_ref ] y_logit | n = 39 | Vars: X44, X4 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44                   -0.4590      -0.6038
##   X4                     0.5305       0.5801
## 
##   [Refine|G1_RSE_Bawah] ✓ 39 domain diperbarui
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 40 / 40
##   [Refine|G2_RSE_Atas] Re-run pada 40 domain (aux dipilih ulang) ...
##   [ G2_RSE_Atas_ref ] y_logit | n = 40 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3763      -0.5547
## 
##   [Refine|G2_RSE_Atas] ✓ 40 domain diperbarui
summary(df_s51[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.498   Min.   :26.1   Min.   :22.1  
##  1st Qu.: 4.10   1st Qu.: 4.314   1st Qu.:39.3   1st Qu.:29.4  
##  Median : 8.24   Median : 8.169   Median :48.4   Median :40.0  
##  Mean   : 8.65   Mean   : 7.866   Mean   :52.3   Mean   :41.8  
##  3rd Qu.:11.12   3rd Qu.:10.491   3rd Qu.:61.0   3rd Qu.:51.1  
##  Max.   :26.70   Max.   :17.641   Max.   :98.8   Max.   :94.9
plot_rse(df_s51,"RSE_direct","RSE_eb","Direct","EB-BK-R RSE-ES","S51: EB Beta Backward RSE-ES — Refined")
S51: EB Beta Backward RSE-ES + Refine

S51: EB Beta Backward RSE-ES + Refine

S52 — Backward · Cluster

cat("=== S52: EB Backward Cluster + Refine ===\n")
## === S52: EB Backward Cluster + Refine ===
df_s52 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_bk_logit), aux_fn = seleksi_backward,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] y_logit | n = 60 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3236      -0.4251
## 
##   [ Cluster_2 ] y_logit | n = 21 | Vars: X40_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_jumlah            -0.3419      -0.3562
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 60 / 60
##   [Refine|Cluster_1] Re-run pada 60 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] y_logit | n = 60 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3236      -0.4251
## 
##   [Refine|Cluster_1] ✓ 60 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 20 / 21
##   [Refine|Cluster_2] Re-run pada 20 domain (aux dipilih ulang) ...
##   [ Cluster_2_ref ] y_logit | n = 20 | Vars: X9, X45_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X9                     0.2909       0.3747
##   X45_jumlah            -0.3457      -0.3734
## 
##   [Refine|Cluster_2] ✓ 20 domain diperbarui
summary(df_s52[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.574   Min.   :26.1   Min.   :22.1  
##  1st Qu.: 4.10   1st Qu.: 4.646   1st Qu.:39.3   1st Qu.:32.6  
##  Median : 8.24   Median : 7.447   Median :48.4   Median :41.7  
##  Mean   : 8.65   Mean   : 7.831   Mean   :52.3   Mean   :41.1  
##  3rd Qu.:11.12   3rd Qu.:10.301   3rd Qu.:61.0   3rd Qu.:46.4  
##  Max.   :26.70   Max.   :17.512   Max.   :98.8   Max.   :87.6
plot_rse(df_s52,"RSE_direct","RSE_eb","Direct","EB-BK-R Cluster","S52: EB Beta Backward Cluster — Refined")
S52: EB Beta Backward Cluster + Refine

S52: EB Beta Backward Cluster + Refine

S53 — Top-n/10 · All

cat("=== S53: EB TopN All + Refine ===\n")
## === S53: EB TopN All + Refine ===
df_s53 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_topn,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X30_mean              -0.3041      -0.3975
##   X31_mean              -0.3188      -0.3953
##   X29_mean              -0.3220      -0.3921
##   X8                     0.3439       0.3797
##   X40                   -0.3690      -0.3705
##   X45                   -0.3224      -0.3604
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 80 / 81
##   [Refine|All] Re-run pada 80 domain (aux dipilih ulang) ...
##   [ All_ref ] y_logit | n = 80 | Vars: X36_mean, X30_mean, X29_mean, X31_mean, X45_mean, X8, X27_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3404      -0.4446
##   X30_mean              -0.3213      -0.4098
##   X29_mean              -0.3455      -0.4089
##   X31_mean              -0.3307      -0.4035
##   X45_mean              -0.3683      -0.3942
##   X8                     0.3418       0.3772
##   X27_mean              -0.3016      -0.3754
## 
##   [Refine|All] ✓ 80 domain diperbarui
summary(df_s53[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.591   Min.   :26.1   Min.   :24.5  
##  1st Qu.: 4.10   1st Qu.: 4.950   1st Qu.:39.3   1st Qu.:35.0  
##  Median : 8.24   Median : 7.814   Median :48.4   Median :41.4  
##  Mean   : 8.65   Mean   : 7.727   Mean   :52.3   Mean   :41.7  
##  3rd Qu.:11.12   3rd Qu.: 9.650   3rd Qu.:61.0   3rd Qu.:45.8  
##  Max.   :26.70   Max.   :16.619   Max.   :98.8   Max.   :86.3
plot_rse(df_s53,"RSE_direct","RSE_eb","Direct","EB-TN-R All","S53: EB Beta Top-n/10 All — Refined")
S53: EB Beta Top-n/10 All + Refine

S53: EB Beta Top-n/10 All + Refine

S54 — Top-n/10 · RSE-NB

cat("=== S54: EB TopN RSE-NB + Refine ===\n")
## === S54: EB TopN RSE-NB + Refine ===
df_s54 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_topn,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X27, X31_jumlah, X29_mean, X4, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X4                     0.4425       0.4608
##   X28_mean              -0.3437      -0.4251
## 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3973      -0.6324
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 58 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 58 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] y_logit | n = 58 | Vars: X3, X27, X29_mean, X4, X31_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4986       0.4995
##   X27                    0.4386       0.4867
##   X29_mean              -0.3950      -0.4783
##   X4                     0.4568       0.4726
##   X31_jumlah            -0.4120      -0.4711
## 
##   [Refine|G1_RSE_Rendah] ✓ 58 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 21 / 21
##   [Refine|G2_RSE_Tinggi] Re-run pada 21 domain (aux dipilih ulang) ...
##   [ G2_RSE_Tinggi_ref ] y_logit | n = 21 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3973      -0.6324
## 
##   [Refine|G2_RSE_Tinggi] ✓ 21 domain diperbarui
summary(df_s54[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.503   Min.   :26.1   Min.   :23.7  
##  1st Qu.: 4.10   1st Qu.: 4.180   1st Qu.:39.3   1st Qu.:32.2  
##  Median : 8.24   Median : 8.051   Median :48.4   Median :37.2  
##  Mean   : 8.65   Mean   : 7.979   Mean   :52.3   Mean   :40.1  
##  3rd Qu.:11.12   3rd Qu.:10.558   3rd Qu.:61.0   3rd Qu.:47.1  
##  Max.   :26.70   Max.   :17.697   Max.   :98.8   Max.   :90.6
plot_rse(df_s54,"RSE_direct","RSE_eb","Direct","EB-TN-R RSE-NB","S54: EB Beta Top-n/10 RSE-NB — Refined")
S54: EB Beta Top-n/10 RSE-NB + Refine

S54: EB Beta Top-n/10 RSE-NB + Refine

S55 — Top-n/10 · RSE-ES

cat("=== S55: EB TopN RSE-ES + Refine ===\n")
## === S55: EB TopN RSE-ES + Refine ===
df_s55 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_topn,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X44_mean, X8, X39_jumlah, X27 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44_mean              -0.4399      -0.5825
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
##   X27                    0.4608       0.5500
## 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X27_mean, X28_mean, X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X27_mean              -0.4069      -0.5399
##   X28_mean              -0.4137      -0.5322
##   X36_mean              -0.3461      -0.5315
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 38 / 41
##   [Refine|G1_RSE_Bawah] Re-run pada 38 domain (aux dipilih ulang) ...
##   [ G1_RSE_Bawah_ref ] y_logit | n = 38 | Vars: X44, X27, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44                   -0.4490      -0.5974
##   X27                    0.4771       0.5723
##   X39_jumlah            -0.4366      -0.5647
## 
##   [Refine|G1_RSE_Bawah] ✓ 38 domain diperbarui
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 40 / 40
##   [Refine|G2_RSE_Atas] Re-run pada 40 domain (aux dipilih ulang) ...
##   [ G2_RSE_Atas_ref ] y_logit | n = 40 | Vars: X27_mean, X28_mean, X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X27_mean              -0.4069      -0.5399
##   X28_mean              -0.4137      -0.5322
##   X36_mean              -0.3461      -0.5315
## 
##   [Refine|G2_RSE_Atas] ✓ 40 domain diperbarui
summary(df_s55[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.512   Min.   :26.1   Min.   :22.4  
##  1st Qu.: 4.10   1st Qu.: 4.423   1st Qu.:39.3   1st Qu.:29.7  
##  Median : 8.24   Median : 8.218   Median :48.4   Median :39.7  
##  Mean   : 8.65   Mean   : 7.857   Mean   :52.3   Mean   :41.8  
##  3rd Qu.:11.12   3rd Qu.:10.185   3rd Qu.:61.0   3rd Qu.:51.6  
##  Max.   :26.70   Max.   :16.840   Max.   :98.8   Max.   :93.6
plot_rse(df_s55,"RSE_direct","RSE_eb","Direct","EB-TN-R RSE-ES","S55: EB Beta Top-n/10 RSE-ES — Refined")
S55: EB Beta Top-n/10 RSE-ES + Refine

S55: EB Beta Top-n/10 RSE-ES + Refine

S56 — Top-n/10 · Cluster

cat("=== S56: EB TopN Cluster + Refine ===\n")
## === S56: EB TopN Cluster + Refine ===
df_s56 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_tn_logit), aux_fn = seleksi_topn,
  model_fn = run_eb_beta, y_col = "y_logit",
  rse_col = "RSE_eb", df_orig = df_base
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] y_logit | n = 70 | Vars: X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3091      -0.3196
##   X25_jumlah            -0.2038      -0.2746
##   X33_mean              -0.2294      -0.2340
##   X31_mean              -0.1967      -0.2304
##   X48                   -0.2223      -0.2146
##   X35_jumlah            -0.2500      -0.2117
##   X12_mean              -0.1739      -0.2109
## 
##   [ Cluster_2 ] y_logit | n = 11 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3819      -0.6313
## 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 69 / 70
##   [Refine|Cluster_1] Re-run pada 69 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] y_logit | n = 69 | Vars: X40_mean, X25_mean, X31_mean, X12_mean, X44_mean, X11_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_mean              -0.2979      -0.3105
##   X25_mean              -0.1733      -0.2886
##   X31_mean              -0.2304      -0.2558
##   X12_mean              -0.2209      -0.2472
##   X44_mean              -0.1930      -0.2361
##   X11_mean              -0.1959      -0.2295
## 
##   [Refine|Cluster_1] ✓ 69 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 11 / 11
##   [Refine|Cluster_2] Re-run pada 11 domain (aux dipilih ulang) ...
##   [ Cluster_2_ref ] y_logit | n = 11 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3819      -0.6313
## 
##   [Refine|Cluster_2] ✓ 11 domain diperbarui
summary(df_s56[, c("Estimasi","y_eb_pct","RSE_direct","RSE_eb")])
##     Estimasi        y_eb_pct        RSE_direct       RSE_eb    
##  Min.   : 0.51   Min.   : 0.604   Min.   :26.1   Min.   :24.1  
##  1st Qu.: 4.10   1st Qu.: 4.834   1st Qu.:39.3   1st Qu.:34.4  
##  Median : 8.24   Median : 7.913   Median :48.4   Median :40.0  
##  Mean   : 8.65   Mean   : 7.794   Mean   :52.3   Mean   :40.6  
##  3rd Qu.:11.12   3rd Qu.: 9.605   3rd Qu.:61.0   3rd Qu.:45.2  
##  Max.   :26.70   Max.   :18.089   Max.   :98.8   Max.   :80.5
plot_rse(df_s56,"RSE_direct","RSE_eb","Direct","EB-TN-R Cluster","S56: EB Beta Top-n/10 Cluster — Refined")
S56: EB Beta Top-n/10 Cluster + Refine

S56: EB Beta Top-n/10 Cluster + Refine

HB Beta Refined

S57–S64 memerlukan JAGS. Setiap run HB melakukan juga CI-check loop (hapus var dengan 2.5%–97.5% menyeberang nol). Re-run domain high-RSE akan memilih variabel baru dari subset tersebut.

S57 — Backward · All

cat("=== S57: HB Backward All + Refine ===\n")
## === S57: HB Backward All + Refine ===
df_s57 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_backward,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X40 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X40                   -0.3690      -0.3705

## 
##   [HB Iter 1] Vars aktif (2): X36_mean, X40
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.5303 0.03631 -2.6012 -2.5546 -2.5306 -2.5057 -2.4578
## X36_mean  -0.2699 0.03937 -0.3460 -0.2966 -0.2703 -0.2429 -0.1930
## X40       -0.2094 0.03385 -0.2747 -0.2330 -0.2101 -0.1871 -0.1419
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean, X40 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 52 / 81
##   [Refine|All] Re-run pada 52 domain (aux dipilih ulang) ...
##   [ All_ref ] y_logit | n = 52 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.1824      -0.3268

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.9644 0.04523 -3.0532 -2.9945 -2.9636 -2.9336 -2.8770
## X36_mean  -0.1956 0.04580 -0.2848 -0.2264 -0.1963 -0.1639 -0.1037
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean 
##   [Refine|All] ✓ 52 domain diperbarui
summary(df_s57[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct          RSE           RSE_hb    
##  Min.   : 0.51   Min.   : 1.27   Min.   :26.1   Min.   :16.1  
##  1st Qu.: 4.10   1st Qu.: 4.42   1st Qu.:39.3   1st Qu.:22.1  
##  Median : 8.24   Median : 7.66   Median :48.4   Median :23.6  
##  Mean   : 8.65   Mean   : 8.30   Mean   :52.3   Mean   :25.7  
##  3rd Qu.:11.12   3rd Qu.:10.71   3rd Qu.:61.0   3rd Qu.:26.7  
##  Max.   :26.70   Max.   :24.97   Max.   :98.8   Max.   :48.1
plot_rse(df_s57,"RSE","RSE_hb","Direct","HB-BK-R All","S57: HB Beta Backward All — Refined")
S57: HB Backward All + Refine RSE

S57: HB Backward All + Refine RSE

plot_hb_posterior(df_s57, "S57: HB Beta Backward All — Refined")
S57: HB Beta Posterior All Refined

S57: HB Beta Posterior All Refined

S58 — Backward · RSE-NB

cat("=== S58: HB Backward RSE-NB + Refine ===\n")
## === S58: HB Backward RSE-NB + Refine ===
df_s58 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_backward,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X31_jumlah, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642

## 
##   [HB Iter 1] Vars aktif (3): X3, X31_jumlah, X29_mean
##               Mean      SD    2.5%     25%     50%      75%    97.5%
## intercept  -2.2648 0.02958 -2.3236 -2.2849 -2.2646 -2.24501 -2.20726
## X3          0.1724 0.03141  0.1098  0.1515  0.1729  0.19380  0.23320
## X31_jumlah -0.1420 0.03403 -0.2087 -0.1648 -0.1422 -0.11894 -0.07459
## X29_mean   -0.1208 0.03317 -0.1848 -0.1436 -0.1204 -0.09859 -0.05673
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X3, X31_jumlah, X29_mean 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.4287      -0.6631

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.5093 0.06017 -3.6275 -3.5508 -3.5084 -3.4675 -3.3900
## X36_mean  -0.5082 0.06340 -0.6311 -0.5514 -0.5084 -0.4647 -0.3852
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 4 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 4 domain (aux dipilih ulang) ...
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 0 / 21
##   [Refine|G2_RSE_Tinggi] < 4 domain → skip, pakai hasil awal
summary(df_s58[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.514   Min.   :26.1   Min.   : 5.61  
##  1st Qu.: 4.10   1st Qu.: 4.289   1st Qu.:39.3   1st Qu.:12.59  
##  Median : 8.24   Median : 8.282   Median :48.4   Median :14.91  
##  Mean   : 8.65   Mean   : 8.663   Mean   :52.3   Mean   :15.53  
##  3rd Qu.:11.12   3rd Qu.:10.971   3rd Qu.:61.0   3rd Qu.:16.50  
##  Max.   :26.70   Max.   :25.013   Max.   :98.8   Max.   :49.39
plot_rse(df_s58,"RSE","RSE_hb","Direct","HB-BK-R RSE-NB","S58: HB Beta Backward RSE-NB — Refined")
S58: HB Backward RSE-NB + Refine RSE

S58: HB Backward RSE-NB + Refine RSE

plot_hb_posterior(df_s58, "S58: HB Beta Backward RSE-NB — Refined", group_col = "grup_jenks")
S58: HB Beta Posterior RSE-NB Refined

S58: HB Beta Posterior RSE-NB Refined

S59 — Backward · RSE-ES

cat("=== S59: HB Backward RSE-ES + Refine ===\n")
## === S59: HB Backward RSE-ES + Refine ===
df_s59 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_backward,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X8, X39_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570

## 
##   [HB Iter 1] Vars aktif (2): X8, X39_jumlah
##               Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept  -2.1532 0.03127 -2.2171 -2.1735 -2.1527 -2.1322 -2.0942
## X8          0.2000 0.03036  0.1403  0.1793  0.2005  0.2210  0.2581
## X39_jumlah -0.1875 0.03148 -0.2501 -0.2088 -0.1878 -0.1661 -0.1263
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X8, X39_jumlah 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3763      -0.5547

## 
##   [HB Iter 1] Vars aktif (1): X31_mean
##              Mean      SD   2.5%     25%     50%     75%   97.5%
## intercept -3.0428 0.05493 -3.152 -3.0807 -3.0417 -3.0051 -2.9385
## X31_mean  -0.5112 0.05829 -0.625 -0.5502 -0.5122 -0.4717 -0.3969
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X31_mean 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 0 / 41
##   [Refine|G1_RSE_Bawah] < 4 domain → skip, pakai hasil awal
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 4 / 40
##   [Refine|G2_RSE_Atas] Re-run pada 4 domain (aux dipilih ulang) ...
summary(df_s59[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.517   Min.   :26.1   Min.   : 2.75  
##  1st Qu.: 4.10   1st Qu.: 4.122   1st Qu.:39.3   1st Qu.: 3.88  
##  Median : 8.24   Median : 8.220   Median :48.4   Median : 6.87  
##  Mean   : 8.65   Mean   : 8.647   Mean   :52.3   Mean   : 9.07  
##  3rd Qu.:11.12   3rd Qu.:11.130   3rd Qu.:61.0   3rd Qu.:12.69  
##  Max.   :26.70   Max.   :26.415   Max.   :98.8   Max.   :31.97
plot_rse(df_s59,"RSE","RSE_hb","Direct","HB-BK-R RSE-ES","S59: HB Beta Backward RSE-ES — Refined")
S59: HB Backward RSE-ES + Refine RSE

S59: HB Backward RSE-ES + Refine RSE

plot_hb_posterior(df_s59, "S59: HB Beta Backward RSE-ES — Refined", group_col = "grup_equal")
S59: HB Beta Posterior RSE-ES Refined

S59: HB Beta Posterior RSE-ES Refined

S60 — Backward · Cluster

cat("=== S60: HB Backward Cluster + Refine ===\n")
## === S60: HB Backward Cluster + Refine ===
df_s60 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_bk_logit), aux_fn = seleksi_backward,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] y_logit | n = 60 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3236      -0.4251

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.7517 0.04742 -2.8456 -2.7831 -2.7515 -2.7196 -2.6611
## X36_mean  -0.3425 0.04706 -0.4359 -0.3743 -0.3429 -0.3113 -0.2509
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean 
##   [ Cluster_2 ] y_logit | n = 21 | Vars: X40_jumlah 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40_jumlah            -0.3419      -0.3562

## 
##   [HB Iter 1] Vars aktif (1): X40_jumlah
##               Mean      SD    2.5%     25%     50%     75%    97.5%
## intercept  -2.0344 0.04982 -2.1328 -2.0679 -2.0338 -2.0010 -1.93689
## X40_jumlah -0.1766 0.05146 -0.2768 -0.2113 -0.1762 -0.1419 -0.07777
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X40_jumlah 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 24 / 60
##   [Refine|Cluster_1] Re-run pada 24 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] y_logit | n = 24 | Vars: X43_mean, X33_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X43_mean               0.4972       0.4229
##   X33_mean              -0.3596      -0.3738

## 
##   [HB Iter 1] Vars aktif (2): X43_mean, X33_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.6766 0.04812 -3.7728 -3.7093 -3.6750 -3.6448 -3.5847
## X43_mean   0.2115 0.04697  0.1181  0.1799  0.2118  0.2425  0.3028
## X33_mean  -0.1732 0.04967 -0.2715 -0.2059 -0.1735 -0.1404 -0.0737
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X43_mean, X33_mean 
##   [Refine|Cluster_1] ✓ 24 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 0 / 21
##   [Refine|Cluster_2] < 4 domain → skip, pakai hasil awal
summary(df_s60[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.941   Min.   :26.1   Min.   : 8.82  
##  1st Qu.: 4.10   1st Qu.: 4.004   1st Qu.:39.3   1st Qu.:14.24  
##  Median : 8.24   Median : 8.011   Median :48.4   Median :17.64  
##  Mean   : 8.65   Mean   : 8.483   Mean   :52.3   Mean   :17.68  
##  3rd Qu.:11.12   3rd Qu.:10.909   3rd Qu.:61.0   3rd Qu.:20.88  
##  Max.   :26.70   Max.   :25.845   Max.   :98.8   Max.   :40.59
plot_rse(df_s60,"RSE","RSE_hb","Direct","HB-BK-R Cluster","S60: HB Beta Backward Cluster — Refined")
S60: HB Backward Cluster + Refine RSE

S60: HB Backward Cluster + Refine RSE

plot_hb_posterior(df_s60, "S60: HB Beta Backward Cluster — Refined", group_col = "cluster_bk_logit")
S60: HB Beta Posterior Cluster Refined

S60: HB Beta Posterior Cluster Refined

S61 — Top-n/10 · All

cat("=== S61: HB TopN All + Refine ===\n")
## === S61: HB TopN All + Refine ===
df_s61 <- run_with_refine(
  seg_list = list("All" = df_base), aux_fn = seleksi_topn,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ All ] y_logit | n = 81 | Vars: X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3220      -0.4311
##   X30_mean              -0.3041      -0.3975
##   X31_mean              -0.3188      -0.3953
##   X29_mean              -0.3220      -0.3921
##   X8                     0.3439       0.3797
##   X40                   -0.3690      -0.3705
##   X45                   -0.3224      -0.3604

## 
##   [HB Iter 1] Vars aktif (7): X36_mean, X30_mean, X31_mean, X29_mean, X8, X40, X45
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.52086 0.03603 -2.59070 -2.54531 -2.52057 -2.49726 -2.44832
## X36_mean  -0.03394 0.07773 -0.18760 -0.08680 -0.03411  0.01994  0.11924
## X30_mean  -0.05760 0.05945 -0.16997 -0.09853 -0.05787 -0.01751  0.05904
## X31_mean  -0.03315 0.07428 -0.18293 -0.08231 -0.03226  0.01765  0.10868
## X29_mean  -0.12430 0.06712 -0.25771 -0.16863 -0.12321 -0.08024  0.00570
## X8         0.07834 0.05785 -0.03760  0.03964  0.07843  0.11776  0.19076
## X40       -0.20224 0.03530 -0.27020 -0.22615 -0.20230 -0.17785 -0.13389
## X45        0.02432 0.05725 -0.09039 -0.01427  0.02504  0.06315  0.13705
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X36_mean, X30_mean, X31_mean, X29_mean, X8, X45]
##   [HB]   → Keluarkan 'X36_mean'  (SD = 0.07773, terbesar)

## 
##   [HB Iter 2] Vars aktif (6): X30_mean, X31_mean, X29_mean, X8, X40, X45
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.53143 0.03617 -2.60391 -2.55549 -2.53129 -2.50684 -2.46202
## X30_mean  -0.07204 0.05442 -0.17843 -0.10885 -0.07245 -0.03517  0.03557
## X31_mean  -0.03954 0.06611 -0.16885 -0.08340 -0.03988  0.00438  0.08871
## X29_mean  -0.13435 0.05978 -0.24685 -0.17782 -0.13402 -0.09364 -0.01707
## X8         0.08597 0.05348 -0.01885  0.04925  0.08734  0.12333  0.18914
## X40       -0.20617 0.03555 -0.27727 -0.23032 -0.20605 -0.18171 -0.13658
## X45        0.02640 0.05597 -0.08047 -0.01201  0.02533  0.06467  0.13688
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X30_mean, X31_mean, X8, X45]
##   [HB]   → Keluarkan 'X31_mean'  (SD = 0.06611, terbesar)

## 
##   [HB Iter 3] Vars aktif (5): X30_mean, X29_mean, X8, X40, X45
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.51803 0.03611 -2.58811 -2.54255 -2.51794 -2.49341 -2.44678
## X30_mean  -0.07316 0.04992 -0.17337 -0.10703 -0.07211 -0.04005  0.02331
## X29_mean  -0.15256 0.05242 -0.25587 -0.18727 -0.15218 -0.11748 -0.05003
## X8         0.08885 0.05209 -0.01348  0.05357  0.08844  0.12489  0.19002
## X40       -0.20321 0.03535 -0.27205 -0.22742 -0.20321 -0.17945 -0.13342
## X45        0.01497 0.05125 -0.08697 -0.01967  0.01557  0.04955  0.11314
## 
##   [HB] ✗ Iter 3 — CI menyeberang nol: [X30_mean, X8, X45]
##   [HB]   → Keluarkan 'X8'  (SD = 0.05209, terbesar)

## 
##   [HB Iter 4] Vars aktif (4): X30_mean, X29_mean, X40, X45
##               Mean      SD    2.5%     25%      50%      75%    97.5%
## intercept -2.51738 0.03538 -2.5869 -2.5407 -2.51701 -2.49333 -2.44780
## X30_mean  -0.07768 0.04877 -0.1744 -0.1104 -0.07726 -0.04562  0.01741
## X29_mean  -0.18611 0.04859 -0.2817 -0.2185 -0.18623 -0.15352 -0.09174
## X40       -0.21140 0.03441 -0.2760 -0.2349 -0.21185 -0.18849 -0.14141
## X45       -0.02148 0.04616 -0.1118 -0.0528 -0.02188  0.00971  0.06744
## 
##   [HB] ✗ Iter 4 — CI menyeberang nol: [X30_mean, X45]
##   [HB]   → Keluarkan 'X30_mean'  (SD = 0.04877, terbesar)

## 
##   [HB Iter 5] Vars aktif (3): X29_mean, X40, X45
##               Mean      SD    2.5%      25%      50%      75%    97.5%
## intercept -2.51625 0.03513 -2.5865 -2.53987 -2.51600 -2.49271 -2.44743
## X29_mean  -0.22527 0.04243 -0.3066 -0.25417 -0.22572 -0.19672 -0.13970
## X40       -0.21375 0.03495 -0.2825 -0.23731 -0.21345 -0.18945 -0.14647
## X45       -0.04969 0.04181 -0.1306 -0.07771 -0.05074 -0.02117  0.03277
## 
##   [HB] ✗ Iter 5 — CI menyeberang nol: [X45]
##   [HB]   → Keluarkan 'X45'  (SD = 0.04181, terbesar)

## 
##   [HB Iter 6] Vars aktif (2): X29_mean, X40
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -2.5115 0.03618 -2.5804 -2.5356 -2.5112 -2.4873 -2.4397
## X29_mean  -0.2569 0.03707 -0.3286 -0.2818 -0.2571 -0.2317 -0.1835
## X40       -0.2255 0.03274 -0.2901 -0.2474 -0.2254 -0.2035 -0.1612
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 6.
##   [HB] ✓ Variabel final: X29_mean, X40 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|All] Domain RSE > 25%: 69 / 81
##   [Refine|All] Re-run pada 69 domain (aux dipilih ulang) ...
##   [ All_ref ] y_logit | n = 69 | Vars: X36_mean, X44_mean, X30_mean, X31_mean, X8, X29_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.2706      -0.3904
##   X44_mean              -0.2870      -0.3471
##   X30_mean              -0.2315      -0.3445
##   X31_mean              -0.2567      -0.3421
##   X8                     0.3062       0.3326
##   X29_mean              -0.2500      -0.3311

## 
##   [HB Iter 1] Vars aktif (6): X36_mean, X44_mean, X30_mean, X31_mean, X8, X29_mean
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.69187 0.04223 -2.77430 -2.72087 -2.69139 -2.66298 -2.61097
## X36_mean  -0.12483 0.09189 -0.30310 -0.18647 -0.12602 -0.06241  0.05793
## X44_mean   0.00522 0.08988 -0.16886 -0.05620  0.00526  0.06732  0.17948
## X30_mean  -0.05638 0.06365 -0.17678 -0.10029 -0.05574 -0.01375  0.06841
## X31_mean  -0.04347 0.07652 -0.19490 -0.09361 -0.04360  0.00750  0.10679
## X8         0.11661 0.07153 -0.02102  0.06949  0.11627  0.16445  0.25792
## X29_mean   0.02021 0.07904 -0.13543 -0.03230  0.02056  0.07274  0.17752
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X36_mean, X44_mean, X30_mean, X31_mean, X8, X29_mean]
##   [HB]   → Keluarkan 'X36_mean'  (SD = 0.09189, terbesar)

## 
##   [HB Iter 2] Vars aktif (5): X44_mean, X30_mean, X31_mean, X8, X29_mean
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.67882 0.04177 -2.75987 -2.70716 -2.67808 -2.65146 -2.59782
## X44_mean  -0.04118 0.07610 -0.18928 -0.09401 -0.04075  0.01044  0.10705
## X30_mean  -0.07626 0.06103 -0.19548 -0.11777 -0.07595 -0.03575  0.04344
## X31_mean  -0.06086 0.07404 -0.20638 -0.10978 -0.06026 -0.01066  0.08506
## X8         0.12778 0.06614 -0.00527  0.08309  0.12835  0.17246  0.25676
## X29_mean  -0.00748 0.07209 -0.15108 -0.05427 -0.00858  0.03913  0.13522
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X44_mean, X30_mean, X31_mean, X8, X29_mean]
##   [HB]   → Keluarkan 'X44_mean'  (SD = 0.07610, terbesar)

## 
##   [HB Iter 3] Vars aktif (4): X30_mean, X31_mean, X8, X29_mean
##               Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept -2.67046 0.03926 -2.75005 -2.69660 -2.67012 -2.64430 -2.59486
## X30_mean  -0.07102 0.05676 -0.18209 -0.10890 -0.07088 -0.03288  0.03912
## X31_mean  -0.06517 0.06620 -0.19705 -0.11041 -0.06384 -0.01983  0.06169
## X8         0.15230 0.05277  0.04915  0.11707  0.15269  0.18824  0.25326
## X29_mean  -0.02202 0.06350 -0.14466 -0.06357 -0.02237  0.01962  0.10144
## 
##   [HB] ✗ Iter 3 — CI menyeberang nol: [X30_mean, X31_mean, X29_mean]
##   [HB]   → Keluarkan 'X31_mean'  (SD = 0.06620, terbesar)

## 
##   [HB Iter 4] Vars aktif (3): X30_mean, X8, X29_mean
##               Mean      SD     2.5%     25%      50%      75%    97.5%
## intercept -2.67061 0.04131 -2.75169 -2.6990 -2.67030 -2.64329 -2.59000
## X30_mean  -0.08535 0.05299 -0.19049 -0.1205 -0.08528 -0.04977  0.01727
## X8         0.16353 0.05070  0.06532  0.1294  0.16293  0.19813  0.26344
## X29_mean  -0.05569 0.05377 -0.15935 -0.0918 -0.05595 -0.01896  0.04842
## 
##   [HB] ✗ Iter 4 — CI menyeberang nol: [X30_mean, X29_mean]
##   [HB]   → Keluarkan 'X29_mean'  (SD = 0.05377, terbesar)

## 
##   [HB Iter 5] Vars aktif (2): X30_mean, X8
##              Mean      SD     2.5%    25%     50%      75%    97.5%
## intercept -2.6723 0.04091 -2.75468 -2.699 -2.6723 -2.64531 -2.59323
## X30_mean  -0.1214 0.04664 -0.21293 -0.153 -0.1211 -0.09005 -0.03099
## X8         0.1795 0.04563  0.09183  0.148  0.1790  0.21095  0.26992
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 5.
##   [HB] ✓ Variabel final: X30_mean, X8 
##   [Refine|All] ✓ 69 domain diperbarui
summary(df_s61[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct          RSE           RSE_hb    
##  Min.   : 0.51   Min.   : 1.66   Min.   :26.1   Min.   :17.4  
##  1st Qu.: 4.10   1st Qu.: 4.57   1st Qu.:39.3   1st Qu.:24.5  
##  Median : 8.24   Median : 8.14   Median :48.4   Median :27.1  
##  Mean   : 8.65   Mean   : 8.52   Mean   :52.3   Mean   :29.0  
##  3rd Qu.:11.12   3rd Qu.:10.87   3rd Qu.:61.0   3rd Qu.:32.3  
##  Max.   :26.70   Max.   :24.76   Max.   :98.8   Max.   :48.9
plot_rse(df_s61,"RSE","RSE_hb","Direct","HB-TN-R All","S61: HB Beta Top-n/10 All — Refined")
S61: HB Top-n/10 All + Refine RSE

S61: HB Top-n/10 All + Refine RSE

plot_hb_posterior(df_s61, "S61: HB Beta Top-n/10 All — Refined")
S61: HB Beta Posterior All Refined

S61: HB Beta Posterior All Refined

S62 — Top-n/10 · RSE-NB

cat("=== S62: HB TopN RSE-NB + Refine ===\n")
## === S62: HB TopN RSE-NB + Refine ===
df_s62 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_jenks), aux_fn = seleksi_topn,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Rendah ] y_logit | n = 60 | Vars: X3, X27, X31_jumlah, X29_mean, X4, X28_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X3                     0.4821       0.4882
##   X27                    0.4405       0.4880
##   X31_jumlah            -0.4258      -0.4828
##   X29_mean              -0.3784      -0.4642
##   X4                     0.4425       0.4608
##   X28_mean              -0.3437      -0.4251

## 
##   [HB Iter 1] Vars aktif (6): X3, X27, X31_jumlah, X29_mean, X4, X28_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.26329 0.02909 -2.31999 -2.28290 -2.26349 -2.24370 -2.20663
## X3          0.17086 0.04404  0.08330  0.14146  0.17107  0.20021  0.25660
## X27         0.04713 0.04366 -0.03898  0.01750  0.04757  0.07592  0.13427
## X31_jumlah -0.16663 0.03700 -0.23780 -0.19141 -0.16729 -0.14199 -0.09229
## X29_mean   -0.24692 0.05407 -0.35267 -0.28277 -0.24727 -0.21019 -0.14036
## X4         -0.04988 0.04328 -0.13374 -0.07891 -0.05023 -0.02031  0.03326
## X28_mean    0.14472 0.05204  0.04072  0.10944  0.14529  0.18050  0.24258
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X27, X4]
##   [HB]   → Keluarkan 'X27'  (SD = 0.04366, terbesar)

## 
##   [HB Iter 2] Vars aktif (5): X3, X31_jumlah, X29_mean, X4, X28_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.26048 0.02960 -2.31708 -2.28021 -2.26082 -2.24022 -2.20175
## X3          0.20406 0.03868  0.12916  0.17835  0.20437  0.22969  0.27910
## X31_jumlah -0.16525 0.03819 -0.24046 -0.19030 -0.16517 -0.13956 -0.09130
## X29_mean   -0.27945 0.05407 -0.38528 -0.31584 -0.27947 -0.24247 -0.17510
## X4         -0.05243 0.04084 -0.13225 -0.07994 -0.05271 -0.02509  0.02757
## X28_mean    0.16013 0.05290  0.05604  0.12553  0.15983  0.19527  0.26198
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X4]
##   [HB]   → Keluarkan 'X4'  (SD = 0.04084, terbesar)

## 
##   [HB Iter 3] Vars aktif (4): X3, X31_jumlah, X29_mean, X28_mean
##               Mean      SD     2.5%     25%     50%     75%    97.5%
## intercept  -2.2616 0.02819 -2.31622 -2.2805 -2.2614 -2.2428 -2.20612
## X3          0.1696 0.03147  0.10795  0.1485  0.1700  0.1915  0.22980
## X31_jumlah -0.1527 0.03621 -0.22271 -0.1772 -0.1532 -0.1281 -0.07935
## X29_mean   -0.2497 0.05220 -0.35234 -0.2851 -0.2494 -0.2138 -0.14802
## X28_mean    0.1375 0.04874  0.04298  0.1046  0.1370  0.1706  0.23247
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 3.
##   [HB] ✓ Variabel final: X3, X31_jumlah, X29_mean, X28_mean 
##   [ G2_RSE_Tinggi ] y_logit | n = 21 | Vars: X31_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X31_mean              -0.3973      -0.6324

## 
##   [HB Iter 1] Vars aktif (1): X31_mean
##             Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.509 0.06046 -3.6248 -3.5493 -3.5102 -3.4698 -3.3874
## X31_mean  -0.485 0.06442 -0.6101 -0.5289 -0.4853 -0.4407 -0.3604
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X31_mean 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Rendah] Domain RSE > 25%: 5 / 60
##   [Refine|G1_RSE_Rendah] Re-run pada 5 domain (aux dipilih ulang) ...
##   [ G1_RSE_Rendah_ref ] y_logit | n = 5 | Vars: X43 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X43                    0.8217       0.8607

## 
##   [HB Iter 1] Vars aktif (1): X43
##              Mean     SD    2.5%     25%     50%     75%   97.5%
## intercept -3.6361 0.1456 -3.9103 -3.7381 -3.6379 -3.5403 -3.3368
## X43        0.5263 0.1519  0.2166  0.4272  0.5327  0.6298  0.8112
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X43 
##   [Refine|G1_RSE_Rendah] ✓ 5 domain diperbarui
##   [Refine|G2_RSE_Tinggi] Domain RSE > 25%: 0 / 21
##   [Refine|G2_RSE_Tinggi] < 4 domain → skip, pakai hasil awal
summary(df_s62[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.519   Min.   :26.1   Min.   : 5.44  
##  1st Qu.: 4.10   1st Qu.: 4.119   1st Qu.:39.3   1st Qu.:13.36  
##  Median : 8.24   Median : 8.433   Median :48.4   Median :16.48  
##  Mean   : 8.65   Mean   : 8.573   Mean   :52.3   Mean   :15.79  
##  3rd Qu.:11.12   3rd Qu.:11.102   3rd Qu.:61.0   3rd Qu.:18.55  
##  Max.   :26.70   Max.   :24.208   Max.   :98.8   Max.   :25.67
plot_rse(df_s62,"RSE","RSE_hb","Direct","HB-TN-R RSE-NB","S62: HB Beta Top-n/10 RSE-NB — Refined")
S62: HB Top-n/10 RSE-NB + Refine RSE

S62: HB Top-n/10 RSE-NB + Refine RSE

plot_hb_posterior(df_s62, "S62: HB Beta Top-n/10 RSE-NB — Refined", group_col = "grup_jenks")
S62: HB Beta Posterior RSE-NB Refined

S62: HB Beta Posterior RSE-NB Refined

S63 — Top-n/10 · RSE-ES

cat("=== S63: HB TopN RSE-ES + Refine ===\n")
## === S63: HB TopN RSE-ES + Refine ===
df_s63 <- run_with_refine(
  seg_list = split(df_base, df_base$grup_equal), aux_fn = seleksi_topn,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ G1_RSE_Bawah ] y_logit | n = 41 | Vars: X44_mean, X8, X39_jumlah, X27 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X44_mean              -0.4399      -0.5825
##   X8                     0.4454       0.5695
##   X39_jumlah            -0.4373      -0.5570
##   X27                    0.4608       0.5500

## 
##   [HB Iter 1] Vars aktif (4): X44_mean, X8, X39_jumlah, X27
##                Mean      SD     2.5%      25%      50%      75%   97.5%
## intercept  -2.15909 0.02871 -2.21533 -2.17833 -2.15924 -2.13991 -2.1026
## X44_mean   -0.02522 0.04869 -0.12133 -0.05893 -0.02485  0.01072  0.0646
## X8          0.12573 0.04327  0.04454  0.09573  0.12558  0.15592  0.2090
## X39_jumlah -0.16478 0.03217 -0.22997 -0.18602 -0.16342 -0.14259 -0.1034
## X27         0.09056 0.03520  0.02294  0.06687  0.08997  0.11399  0.1617
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X44_mean]
##   [HB]   → Keluarkan 'X44_mean'  (SD = 0.04869, terbesar)

## 
##   [HB Iter 2] Vars aktif (3): X8, X39_jumlah, X27
##                Mean      SD     2.5%      25%      50%     75%   97.5%
## intercept  -2.15593 0.02769 -2.20940 -2.17496 -2.15688 -2.1374 -2.0992
## X8          0.13896 0.03518  0.06892  0.11451  0.13973  0.1636  0.2049
## X39_jumlah -0.17079 0.03334 -0.23518 -0.19445 -0.17096 -0.1483 -0.1050
## X27         0.09676 0.03565  0.02828  0.07256  0.09625  0.1211  0.1673
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 2.
##   [HB] ✓ Variabel final: X8, X39_jumlah, X27 
##   [ G2_RSE_Atas ] y_logit | n = 40 | Vars: X27_mean, X28_mean, X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X27_mean              -0.4069      -0.5399
##   X28_mean              -0.4137      -0.5322
##   X36_mean              -0.3461      -0.5315

## 
##   [HB Iter 1] Vars aktif (3): X27_mean, X28_mean, X36_mean
##              Mean      SD    2.5%     25%     50%      75%    97.5%
## intercept -3.0697 0.05422 -3.1745 -3.1077 -3.0703 -3.03274 -2.96241
## X27_mean  -0.2138 0.08502 -0.3804 -0.2700 -0.2166 -0.15841 -0.04124
## X28_mean  -0.1123 0.08213 -0.2756 -0.1668 -0.1109 -0.05766  0.04929
## X36_mean  -0.2259 0.08458 -0.3956 -0.2819 -0.2281 -0.17053 -0.05721
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X28_mean]
##   [HB]   → Keluarkan 'X28_mean'  (SD = 0.08213, terbesar)

## 
##   [HB Iter 2] Vars aktif (2): X27_mean, X36_mean
##              Mean      SD    2.5%     25%     50%     75%   97.5%
## intercept -3.0475 0.05381 -3.1519 -3.0844 -3.0467 -3.0112 -2.9428
## X27_mean  -0.2905 0.06954 -0.4281 -0.3372 -0.2904 -0.2429 -0.1565
## X36_mean  -0.2610 0.06894 -0.3972 -0.3054 -0.2612 -0.2153 -0.1280
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 2.
##   [HB] ✓ Variabel final: X27_mean, X36_mean 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|G1_RSE_Bawah] Domain RSE > 25%: 0 / 41
##   [Refine|G1_RSE_Bawah] < 4 domain → skip, pakai hasil awal
##   [Refine|G2_RSE_Atas] Domain RSE > 25%: 3 / 40
##   [Refine|G2_RSE_Atas] < 4 domain → skip, pakai hasil awal
summary(df_s63[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb     
##  Min.   : 0.51   Min.   : 0.544   Min.   :26.1   Min.   : 5.01  
##  1st Qu.: 4.10   1st Qu.: 4.141   1st Qu.:39.3   1st Qu.: 6.84  
##  Median : 8.24   Median : 8.209   Median :48.4   Median : 8.61  
##  Mean   : 8.65   Mean   : 8.647   Mean   :52.3   Mean   :10.54  
##  3rd Qu.:11.12   3rd Qu.:11.143   3rd Qu.:61.0   3rd Qu.:12.49  
##  Max.   :26.70   Max.   :26.443   Max.   :98.8   Max.   :31.40
plot_rse(df_s63,"RSE","RSE_hb","Direct","HB-TN-R RSE-ES","S63: HB Beta Top-n/10 RSE-ES — Refined")
S63: HB Top-n/10 RSE-ES + Refine RSE

S63: HB Top-n/10 RSE-ES + Refine RSE

plot_hb_posterior(df_s63, "S63: HB Beta Top-n/10 RSE-ES — Refined", group_col = "grup_equal")
S63: HB Beta Posterior RSE-ES Refined

S63: HB Beta Posterior RSE-ES Refined

S64 — Top-n/10 · Cluster

cat("=== S64: HB TopN Cluster + Refine ===\n")
## === S64: HB TopN Cluster + Refine ===
df_s64 <- run_with_refine(
  seg_list = split(df_base, df_base$cluster_tn_logit), aux_fn = seleksi_topn,
  model_fn = run_hbbeta, y_col = "y_logit",
  rse_col = "RSE_hb", df_orig = df_base, min_n = 5
)
##   >>> Tahap 1: model utama
##   [ Cluster_1 ] y_logit | n = 70 | Vars: X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X40                   -0.3091      -0.3196
##   X25_jumlah            -0.2038      -0.2746
##   X33_mean              -0.2294      -0.2340
##   X31_mean              -0.1967      -0.2304
##   X48                   -0.2223      -0.2146
##   X35_jumlah            -0.2500      -0.2117
##   X12_mean              -0.1739      -0.2109

## 
##   [HB Iter 1] Vars aktif (7): X40, X25_jumlah, X33_mean, X31_mean, X48, X35_jumlah, X12_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.41550 0.03837 -2.48810 -2.44245 -2.41547 -2.38931 -2.34054
## X40        -0.16230 0.03813 -0.23613 -0.18873 -0.16262 -0.13554 -0.08937
## X25_jumlah -0.08516 0.04158 -0.16658 -0.11356 -0.08566 -0.05612 -0.00425
## X33_mean   -0.10986 0.04003 -0.18889 -0.13669 -0.10974 -0.08361 -0.02971
## X31_mean    0.05369 0.04969 -0.04501  0.02022  0.05369  0.08810  0.14863
## X48        -0.03763 0.04390 -0.12448 -0.06676 -0.03808 -0.00845  0.04829
## X35_jumlah -0.09226 0.03992 -0.17282 -0.11871 -0.09282 -0.06529 -0.01337
## X12_mean   -0.08932 0.04610 -0.17796 -0.11983 -0.08986 -0.05828  0.00197
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X31_mean, X48, X12_mean]
##   [HB]   → Keluarkan 'X31_mean'  (SD = 0.04969, terbesar)

## 
##   [HB Iter 2] Vars aktif (6): X40, X25_jumlah, X33_mean, X48, X35_jumlah, X12_mean
##                Mean      SD     2.5%      25%      50%      75%    97.5%
## intercept  -2.41980 0.03830 -2.49566 -2.44568 -2.41982 -2.39380 -2.34585
## X40        -0.16942 0.03822 -0.24415 -0.19496 -0.16947 -0.14481 -0.09331
## X25_jumlah -0.07603 0.03895 -0.15120 -0.10224 -0.07684 -0.04978  0.00258
## X33_mean   -0.10647 0.03913 -0.18291 -0.13295 -0.10579 -0.07924 -0.03172
## X48        -0.01870 0.04086 -0.09921 -0.04611 -0.01855  0.00827  0.06272
## X35_jumlah -0.08286 0.03941 -0.16018 -0.10872 -0.08318 -0.05705 -0.00545
## X12_mean   -0.06330 0.04025 -0.14064 -0.09092 -0.06321 -0.03674  0.01569
## 
##   [HB] ✗ Iter 2 — CI menyeberang nol: [X25_jumlah, X48, X12_mean]
##   [HB]   → Keluarkan 'X48'  (SD = 0.04086, terbesar)

## 
##   [HB Iter 3] Vars aktif (5): X40, X25_jumlah, X33_mean, X35_jumlah, X12_mean
##                Mean      SD    2.5%      25%      50%      75%    97.5%
## intercept  -2.41679 0.03798 -2.4892 -2.44331 -2.41681 -2.39115 -2.34257
## X40        -0.17695 0.03595 -0.2471 -0.20124 -0.17709 -0.15291 -0.10543
## X25_jumlah -0.07801 0.03923 -0.1532 -0.10495 -0.07789 -0.05132 -0.00122
## X33_mean   -0.10967 0.03921 -0.1871 -0.13638 -0.10943 -0.08343 -0.03333
## X35_jumlah -0.08244 0.03962 -0.1578 -0.10930 -0.08215 -0.05598 -0.00453
## X12_mean   -0.06770 0.03795 -0.1435 -0.09293 -0.06803 -0.04256  0.00830
## 
##   [HB] ✗ Iter 3 — CI menyeberang nol: [X12_mean]
##   [HB]   → Keluarkan 'X12_mean'  (SD = 0.03795, terbesar)

## 
##   [HB Iter 4] Vars aktif (4): X40, X25_jumlah, X33_mean, X35_jumlah
##                Mean      SD    2.5%     25%      50%      75%    97.5%
## intercept  -2.41544 0.03879 -2.4920 -2.4418 -2.41503 -2.38945 -2.33925
## X40        -0.17219 0.03627 -0.2450 -0.1967 -0.17222 -0.14747 -0.10130
## X25_jumlah -0.09541 0.03865 -0.1716 -0.1221 -0.09494 -0.06954 -0.02069
## X33_mean   -0.12129 0.03856 -0.1960 -0.1480 -0.12224 -0.09581 -0.04437
## X35_jumlah -0.09018 0.03909 -0.1685 -0.1162 -0.08994 -0.06373 -0.01535
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 4.
##   [HB] ✓ Variabel final: X40, X25_jumlah, X33_mean, X35_jumlah 
##   [ Cluster_2 ] y_logit | n = 11 | Vars: X36_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X36_mean              -0.3819      -0.6313

## 
##   [HB Iter 1] Vars aktif (1): X36_mean
##              Mean     SD    2.5%     25%    50%    75%   97.5%
## intercept -3.2833 0.1056 -3.4891 -3.3540 -3.283 -3.213 -3.0710
## X36_mean  -0.4585 0.1098 -0.6738 -0.5316 -0.460 -0.385 -0.2457
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 1.
##   [HB] ✓ Variabel final: X36_mean 
##   >>> Tahap 2: refinement domain RSE > 25 %
##   [Refine|Cluster_1] Domain RSE > 25%: 50 / 70
##   [Refine|Cluster_1] Re-run pada 50 domain (aux dipilih ulang) ...
##   [ Cluster_1_ref ] y_logit | n = 50 | Vars: X21, X26_jumlah, X2_mean, X25_mean, X12_mean 
##   Variabel          cor(Direct)   cor(Logit)
##   ------------------------------------------
##   X21                    0.3539       0.3351
##   X26_jumlah            -0.2369      -0.2743
##   X2_mean                0.3109       0.2653
##   X25_mean              -0.0658      -0.2323
##   X12_mean              -0.1729      -0.2267

## 
##   [HB Iter 1] Vars aktif (5): X21, X26_jumlah, X2_mean, X25_mean, X12_mean
##                Mean      SD     2.5%     25%      50%      75%    97.5%
## intercept  -2.74122 0.03960 -2.81937 -2.7677 -2.74179 -2.71544 -2.66158
## X21         0.15643 0.03750  0.08251  0.1314  0.15604  0.18235  0.22927
## X26_jumlah -0.20215 0.04213 -0.28732 -0.2303 -0.20177 -0.17351 -0.12178
## X2_mean     0.22466 0.03987  0.14717  0.1977  0.22521  0.25117  0.30252
## X25_mean   -0.11480 0.04326 -0.19917 -0.1442 -0.11442 -0.08557 -0.03035
## X12_mean   -0.05013 0.04318 -0.13522 -0.0796 -0.05077 -0.02109  0.03453
## 
##   [HB] ✗ Iter 1 — CI menyeberang nol: [X12_mean]
##   [HB]   → Keluarkan 'X12_mean'  (SD = 0.04318, terbesar)

## 
##   [HB Iter 2] Vars aktif (4): X21, X26_jumlah, X2_mean, X25_mean
##               Mean      SD     2.5%     25%     50%     75%    97.5%
## intercept  -2.7484 0.03943 -2.82794 -2.7742 -2.7479 -2.7214 -2.67191
## X21         0.1649 0.03695  0.09445  0.1405  0.1645  0.1895  0.23965
## X26_jumlah -0.2118 0.04198 -0.29682 -0.2399 -0.2120 -0.1836 -0.12807
## X2_mean     0.2210 0.03930  0.14343  0.1943  0.2210  0.2475  0.29605
## X25_mean   -0.1432 0.04137 -0.22611 -0.1707 -0.1426 -0.1156 -0.06284
## 
##   [HB] ✓ Semua CI aman — selesai pada iterasi 2.
##   [HB] ✓ Variabel final: X21, X26_jumlah, X2_mean, X25_mean 
##   [Refine|Cluster_1] ✓ 50 domain diperbarui
##   [Refine|Cluster_2] Domain RSE > 25%: 3 / 11
##   [Refine|Cluster_2] < 4 domain → skip, pakai hasil awal
summary(df_s64[, c("Estimasi","y_hb_pct","RSE","RSE_hb")])
##     Estimasi        y_hb_pct           RSE           RSE_hb    
##  Min.   : 0.51   Min.   : 0.782   Min.   :26.1   Min.   :17.1  
##  1st Qu.: 4.10   1st Qu.: 4.456   1st Qu.:39.3   1st Qu.:21.0  
##  Median : 8.24   Median : 7.755   Median :48.4   Median :23.5  
##  Mean   : 8.65   Mean   : 8.329   Mean   :52.3   Mean   :24.6  
##  3rd Qu.:11.12   3rd Qu.:11.062   3rd Qu.:61.0   3rd Qu.:26.0  
##  Max.   :26.70   Max.   :24.867   Max.   :98.8   Max.   :46.9
plot_rse(df_s64,"RSE","RSE_hb","Direct","HB-TN-R Cluster","S64: HB Beta Top-n/10 Cluster — Refined")
S64: HB Top-n/10 Cluster + Refine RSE

S64: HB Top-n/10 Cluster + Refine RSE

plot_hb_posterior(df_s64, "S64: HB Beta Top-n/10 Cluster — Refined", group_col = "cluster_tn_logit")
S64: HB Beta Posterior Cluster Refined

S64: HB Beta Posterior Cluster Refined


10. Evaluasi Komparatif — 32 Skenario

Kumpulkan Hasil

# Standarisasi: tiap df hasil ditambah y_model & RSE_model
standardize_result <- function(df, y_col, rse_col, skenario_id) {
  if (is.null(df)) return(NULL)
  df %>%
    mutate(
      y_model   = .data[[y_col]],
      RSE_model = .data[[rse_col]],
      Skenario  = skenario_id
    ) %>%
    dplyr::select(Kako, Estimasi, RSE, y_model, RSE_model, Skenario)
}

# Baseline direct
df_direct_eval <- df_base %>%
  mutate(RSE_direct_eval = RSE_direct_col) %>%
  dplyr::select(Kako, Estimasi, RSE, RSE_direct_eval)

# ── Tabel distribusi RSE ─────────────────────────────────────────────────
make_tabel_row <- function(df, rse_col, label) {
  if (is.null(df) || !rse_col %in% names(df)) {
    return(data.frame(Skenario = label, `RSE>=25` = NA, `RSE<25` = NA,
                      `%<25` = NA, `%<15` = NA, `CV Mean` = NA,
                      check.names = FALSE))
  }
  tabel_rse(df, rse_col, label)
}

eval_rows <- list(
  make_tabel_row(df_base,  "RSE_direct_col",  "0. Direct"),
  # EBLUP
  make_tabel_row(df_s1,  "RSE_eblup", "S01 EBLUP-BK All"),
  make_tabel_row(df_s2,  "RSE_eblup", "S02 EBLUP-BK RSE-NB"),
  make_tabel_row(df_s3,  "RSE_eblup", "S03 EBLUP-BK RSE-ES"),
  make_tabel_row(df_s4,  "RSE_eblup", "S04 EBLUP-BK Cluster"),
  make_tabel_row(df_s5,  "RSE_eblup", "S05 EBLUP-TN All"),
  make_tabel_row(df_s6,  "RSE_eblup", "S06 EBLUP-TN RSE-NB"),
  make_tabel_row(df_s7,  "RSE_eblup", "S07 EBLUP-TN RSE-ES"),
  make_tabel_row(df_s8,  "RSE_eblup", "S08 EBLUP-TN Cluster"),
  # GLMM
  make_tabel_row(df_s9,  "RSE_glmm",  "S09 GLMM-BK All"),
  make_tabel_row(df_s10, "RSE_glmm",  "S10 GLMM-BK RSE-NB"),
  make_tabel_row(df_s11, "RSE_glmm",  "S11 GLMM-BK RSE-ES"),
  make_tabel_row(df_s12, "RSE_glmm",  "S12 GLMM-BK Cluster"),
  make_tabel_row(df_s13, "RSE_glmm",  "S13 GLMM-TN All"),
  make_tabel_row(df_s14, "RSE_glmm",  "S14 GLMM-TN RSE-NB"),
  make_tabel_row(df_s15, "RSE_glmm",  "S15 GLMM-TN RSE-ES"),
  make_tabel_row(df_s16, "RSE_glmm",  "S16 GLMM-TN Cluster"),
  # EB Beta
  make_tabel_row(df_s17, "RSE_eb",    "S17 EB-BK All"),
  make_tabel_row(df_s18, "RSE_eb",    "S18 EB-BK RSE-NB"),
  make_tabel_row(df_s19, "RSE_eb",    "S19 EB-BK RSE-ES"),
  make_tabel_row(df_s20, "RSE_eb",    "S20 EB-BK Cluster"),
  make_tabel_row(df_s21, "RSE_eb",    "S21 EB-TN All"),
  make_tabel_row(df_s22, "RSE_eb",    "S22 EB-TN RSE-NB"),
  make_tabel_row(df_s23, "RSE_eb",    "S23 EB-TN RSE-ES"),
  make_tabel_row(df_s24, "RSE_eb",    "S24 EB-TN Cluster"),
  # HB Beta
  make_tabel_row(df_s25, "RSE_hb",    "S25 HB-BK All"),
  make_tabel_row(df_s26, "RSE_hb",    "S26 HB-BK RSE-NB"),
  make_tabel_row(df_s27, "RSE_hb",    "S27 HB-BK RSE-ES"),
  make_tabel_row(df_s28, "RSE_hb",    "S28 HB-BK Cluster"),
  make_tabel_row(df_s29, "RSE_hb",    "S29 HB-TN All"),
  make_tabel_row(df_s30, "RSE_hb",    "S30 HB-TN RSE-NB"),
  make_tabel_row(df_s31, "RSE_hb",    "S31 HB-TN RSE-ES"),
  make_tabel_row(df_s32, "RSE_hb",    "S32 HB-TN Cluster")
)

tabel_eval <- bind_rows(eval_rows)

Tabel Distribusi RSE

kable(tabel_eval,
      caption = "Distribusi RSE — 32 Skenario + Direct",
      col.names = c("Skenario", "RSE≥25", "RSE<25", "% <25%", "% <15%", "CV Mean")) %>%
  kable_styling(bootstrap_options = c("striped","hover","condensed","bordered"),
                full_width = FALSE, font_size = 12) %>%
  row_spec(1, background = "#fff3cd") %>%
  row_spec(
    which(tabel_eval$`%<25` == max(tabel_eval$`%<25`, na.rm = TRUE))[-1],
    bold = TRUE, background = "#d4edda"
  ) %>%
  pack_rows("EBLUP", 2, 9) %>%
  pack_rows("GLMM", 10, 17) %>%
  pack_rows("EB Beta-Binomial", 18, 25) %>%
  pack_rows("HB Beta-Binomial", 26, 33)
Distribusi RSE — 32 Skenario + Direct
Skenario RSE≥25 RSE<25 % <25% % <15% CV Mean
  1. Direct
81 0 0.0 0.0 52.28
EBLUP
S01 EBLUP-BK All 67 14 17.3 0.0 34.84
S02 EBLUP-BK RSE-NB 76 5 6.2 0.0 50.84
S03 EBLUP-BK RSE-ES 50 31 38.3 0.0 34.14
S04 EBLUP-BK Cluster 68 13 16.0 0.0 36.15
S05 EBLUP-TN All 73 8 9.9 0.0 37.32
S06 EBLUP-TN RSE-NB 76 5 6.2 0.0 50.84
S07 EBLUP-TN RSE-ES 59 22 27.2 2.5 36.80
S08 EBLUP-TN Cluster 74 7 8.6 0.0 39.02
GLMM
S09 GLMM-BK All 30 51 63.0 39.5 25.79
S10 GLMM-BK RSE-NB 4 77 95.1 82.7 10.20
S11 GLMM-BK RSE-ES 4 77 95.1 76.5 8.19
S12 GLMM-BK Cluster 29 52 64.2 46.9 24.40
S13 GLMM-TN All 30 51 63.0 39.5 25.10
S14 GLMM-TN RSE-NB 4 77 95.1 81.5 9.90
S15 GLMM-TN RSE-ES 3 78 96.3 77.8 8.28
S16 GLMM-TN Cluster 24 57 70.4 44.4 23.18
EB Beta-Binomial
S17 EB-BK All 80 1 1.2 0.0 41.84
S18 EB-BK RSE-NB 79 2 2.5 0.0 40.08
S19 EB-BK RSE-ES 79 2 2.5 0.0 41.76
S20 EB-BK Cluster 80 1 1.2 0.0 41.04
S21 EB-TN All 80 1 1.2 0.0 41.85
S22 EB-TN RSE-NB 79 2 2.5 0.0 40.09
S23 EB-TN RSE-ES 78 3 3.7 0.0 41.71
S24 EB-TN Cluster 80 1 1.2 0.0 40.59
HB Beta-Binomial
S25 HB-BK All 52 29 35.8 0.0 28.22
S26 HB-BK RSE-NB 4 77 95.1 53.1 15.53
S27 HB-BK RSE-ES 4 77 95.1 81.5 9.07
S28 HB-BK Cluster 24 57 70.4 24.7 22.47
S29 HB-TN All 69 12 14.8 0.0 29.40
S30 HB-TN RSE-NB 5 76 93.8 34.6 16.74
S31 HB-TN RSE-ES 3 78 96.3 81.5 10.54
S32 HB-TN Cluster 53 28 34.6 0.0 28.00

Metrik Akurasi (RB & RMSE)

get_est <- function(df, col) if (!is.null(df) && col %in% names(df)) df[[col]] else NULL

metrik_rows <- list(
  metrik(get_est(df_s1,  "y_eblup"),   df_s1$Estimasi,   "S01 EBLUP-BK All"),
  metrik(get_est(df_s2,  "y_eblup"),   df_s2$Estimasi,   "S02 EBLUP-BK RSE-NB"),
  metrik(get_est(df_s3,  "y_eblup"),   df_s3$Estimasi,   "S03 EBLUP-BK RSE-ES"),
  metrik(get_est(df_s4,  "y_eblup"),   df_s4$Estimasi,   "S04 EBLUP-BK Cluster"),
  metrik(get_est(df_s5,  "y_eblup"),   df_s5$Estimasi,   "S05 EBLUP-TN All"),
  metrik(get_est(df_s6,  "y_eblup"),   df_s6$Estimasi,   "S06 EBLUP-TN RSE-NB"),
  metrik(get_est(df_s7,  "y_eblup"),   df_s7$Estimasi,   "S07 EBLUP-TN RSE-ES"),
  metrik(get_est(df_s8,  "y_eblup"),   df_s8$Estimasi,   "S08 EBLUP-TN Cluster"),
  metrik(get_est(df_s9,  "y_glmm"),    df_s9$Estimasi,   "S09 GLMM-BK All"),
  metrik(get_est(df_s10, "y_glmm"),    df_s10$Estimasi,  "S10 GLMM-BK RSE-NB"),
  metrik(get_est(df_s11, "y_glmm"),    df_s11$Estimasi,  "S11 GLMM-BK RSE-ES"),
  metrik(get_est(df_s12, "y_glmm"),    df_s12$Estimasi,  "S12 GLMM-BK Cluster"),
  metrik(get_est(df_s13, "y_glmm"),    df_s13$Estimasi,  "S13 GLMM-TN All"),
  metrik(get_est(df_s14, "y_glmm"),    df_s14$Estimasi,  "S14 GLMM-TN RSE-NB"),
  metrik(get_est(df_s15, "y_glmm"),    df_s15$Estimasi,  "S15 GLMM-TN RSE-ES"),
  metrik(get_est(df_s16, "y_glmm"),    df_s16$Estimasi,  "S16 GLMM-TN Cluster"),
  metrik(get_est(df_s17, "y_eb_pct"),  df_s17$Estimasi,  "S17 EB-BK All"),
  metrik(get_est(df_s18, "y_eb_pct"),  df_s18$Estimasi,  "S18 EB-BK RSE-NB"),
  metrik(get_est(df_s19, "y_eb_pct"),  df_s19$Estimasi,  "S19 EB-BK RSE-ES"),
  metrik(get_est(df_s20, "y_eb_pct"),  df_s20$Estimasi,  "S20 EB-BK Cluster"),
  metrik(get_est(df_s21, "y_eb_pct"),  df_s21$Estimasi,  "S21 EB-TN All"),
  metrik(get_est(df_s22, "y_eb_pct"),  df_s22$Estimasi,  "S22 EB-TN RSE-NB"),
  metrik(get_est(df_s23, "y_eb_pct"),  df_s23$Estimasi,  "S23 EB-TN RSE-ES"),
  metrik(get_est(df_s24, "y_eb_pct"),  df_s24$Estimasi,  "S24 EB-TN Cluster"),
  metrik(get_est(df_s25, "y_hb_pct"),  df_s25$Estimasi,  "S25 HB-BK All"),
  metrik(get_est(df_s26, "y_hb_pct"),  df_s26$Estimasi,  "S26 HB-BK RSE-NB"),
  metrik(get_est(df_s27, "y_hb_pct"),  df_s27$Estimasi,  "S27 HB-BK RSE-ES"),
  metrik(get_est(df_s28, "y_hb_pct"),  df_s28$Estimasi,  "S28 HB-BK Cluster"),
  metrik(get_est(df_s29, "y_hb_pct"),  df_s29$Estimasi,  "S29 HB-TN All"),
  metrik(get_est(df_s30, "y_hb_pct"),  df_s30$Estimasi,  "S30 HB-TN RSE-NB"),
  metrik(get_est(df_s31, "y_hb_pct"),  df_s31$Estimasi,  "S31 HB-TN RSE-ES"),
  metrik(get_est(df_s32, "y_hb_pct"),  df_s32$Estimasi,  "S32 HB-TN Cluster")
)
tabel_metrik <- bind_rows(Filter(Negate(is.null), metrik_rows))

kable(tabel_metrik,
      caption = "Relative Bias (%) & RMSE terhadap Direct Estimator") %>%
  kable_styling(bootstrap_options = c("striped","hover","condensed","bordered"),
                full_width = FALSE, font_size = 12) %>%
  row_spec(which(abs(tabel_metrik$`RB (%)`) == min(abs(tabel_metrik$`RB (%)`), na.rm=TRUE)),
           bold = TRUE, background = "#d4edda")
Relative Bias (%) & RMSE terhadap Direct Estimator
Skenario RB (%) RMSE
S01 EBLUP-BK All -8.422 4.6325
S02 EBLUP-BK RSE-NB 6.319 5.0908
S03 EBLUP-BK RSE-ES -20.218 5.6677
S04 EBLUP-BK Cluster -8.550 4.4194
S05 EBLUP-TN All -7.718 4.4533
S06 EBLUP-TN RSE-NB 6.319 5.0908
S07 EBLUP-TN RSE-ES -19.383 5.6638
S08 EBLUP-TN Cluster -7.079 4.1715
S09 GLMM-BK All 10.195 3.1854
S10 GLMM-BK RSE-NB 2.445 3.2588
S11 GLMM-BK RSE-ES 3.032 4.3255
S12 GLMM-BK Cluster 9.899 3.5810
S13 GLMM-TN All 10.797 3.2160
S14 GLMM-TN RSE-NB 2.619 3.3256
S15 GLMM-TN RSE-ES 3.334 4.2808
S16 GLMM-TN Cluster 12.907 3.1497
S17 EB-BK All 2.883 2.2960
S18 EB-BK RSE-NB 0.505 2.2617
S19 EB-BK RSE-ES 0.488 2.5714
S20 EB-BK Cluster 2.853 2.4682
S21 EB-TN All 2.888 2.2704
S22 EB-TN RSE-NB 0.546 2.2771
S23 EB-TN RSE-ES 0.531 2.5200
S24 EB-TN Cluster 3.727 2.2786
S25 HB-BK All 19.361 1.3446
S26 HB-BK RSE-NB 5.948 0.6386
S27 HB-BK RSE-ES 1.097 0.0818
S28 HB-BK Cluster 8.893 0.5607
S29 HB-TN All 25.637 1.8293
S30 HB-TN RSE-NB 6.637 0.8475
S31 HB-TN RSE-ES 1.262 0.1314
S32 HB-TN Cluster 18.857 1.4800

Barplot % Domain RSE < 25%

direct_pct <- pct_ok(df_base$RSE_direct_col)

plot_df <- tabel_eval %>%
  filter(Skenario != "0. Direct") %>%
  mutate(
    pct_25    = `% < 25%`,                        # << nama persis dari debug
    Model     = case_when(
      grepl("EBLUP", Skenario)        ~ "EBLUP",
      grepl("GLMM",  Skenario)        ~ "GLMM",
      grepl("EB-BK|EB-TN", Skenario)  ~ "EB Beta",
      grepl("HB-BK|HB-TN", Skenario)  ~ "HB Beta",
      TRUE                             ~ "Lain"
    ),
    AuxMetode = ifelse(grepl("-BK", Skenario), "Backward", "Top-n/10"),
    Skenario  = factor(Skenario, levels = rev(unique(Skenario)))
  )

ggplot(plot_df, aes(x = Skenario, y = pct_25, fill = Model, alpha = AuxMetode)) +
  geom_col(width = 0.72) +
  geom_text(aes(label = paste0(pct_25, "%")),
            hjust = -0.12, size = 3, fontface = "bold") +
  geom_vline(xintercept = direct_pct,
             linetype = "dashed", color = "#c0392b", linewidth = 0.9) +
  scale_fill_manual(values = c(
    "EBLUP"   = "#2980b9", "GLMM"    = "#8e44ad",
    "EB Beta" = "#e67e22", "HB Beta" = "#27ae60"
  )) +
  scale_alpha_manual(values = c("Backward" = 1, "Top-n/10" = 0.65)) +
  scale_y_continuous(limits = c(0, 115), expand = c(0, 0)) +
  coord_flip() +
  labs(title    = "% Domain RSE < 25% — 32 Skenario SAE",
       subtitle = "Garis merah = baseline Direct | Gelap = Backward, Terang = Top-n/10",
       x = NULL, y = "% Domain RSE < 25%", fill = "Model", alpha = "Seleksi Aux") +
  theme_minimal(base_size = 11) +
  theme(legend.position = "top", plot.title = element_text(face = "bold", size = 13),
        panel.grid.major.y = element_blank())

Scatter RSE Direct vs Model (Facet 32)

make_scatter_df <- function(df, y_col, rse_col, label) {
  if (is.null(df) || !all(c(y_col, rse_col, "RSE_direct") %in% names(df))) return(NULL)
  df %>%
    mutate(RSE_model = .data[[rse_col]], Skenario = label) %>%
    dplyr::select(Kako, RSE_direct, RSE_model, Skenario)   # << RSE_direct bukan RSE_direct_col
}

scatter_list <- list(
  make_scatter_df(df_s1,  "y_eblup",  "RSE_eblup", "S01 EBLUP-BK All"),
  make_scatter_df(df_s2,  "y_eblup",  "RSE_eblup", "S02 EBLUP-BK RSE-NB"),
  make_scatter_df(df_s3,  "y_eblup",  "RSE_eblup", "S03 EBLUP-BK RSE-ES"),
  make_scatter_df(df_s4,  "y_eblup",  "RSE_eblup", "S04 EBLUP-BK Clust"),
  make_scatter_df(df_s5,  "y_eblup",  "RSE_eblup", "S05 EBLUP-TN All"),
  make_scatter_df(df_s6,  "y_eblup",  "RSE_eblup", "S06 EBLUP-TN RSE-NB"),
  make_scatter_df(df_s7,  "y_eblup",  "RSE_eblup", "S07 EBLUP-TN RSE-ES"),
  make_scatter_df(df_s8,  "y_eblup",  "RSE_eblup", "S08 EBLUP-TN Clust"),
  make_scatter_df(df_s9,  "y_glmm",   "RSE_glmm",  "S09 GLMM-BK All"),
  make_scatter_df(df_s10, "y_glmm",   "RSE_glmm",  "S10 GLMM-BK RSE-NB"),
  make_scatter_df(df_s11, "y_glmm",   "RSE_glmm",  "S11 GLMM-BK RSE-ES"),
  make_scatter_df(df_s12, "y_glmm",   "RSE_glmm",  "S12 GLMM-BK Clust"),
  make_scatter_df(df_s13, "y_glmm",   "RSE_glmm",  "S13 GLMM-TN All"),
  make_scatter_df(df_s14, "y_glmm",   "RSE_glmm",  "S14 GLMM-TN RSE-NB"),
  make_scatter_df(df_s15, "y_glmm",   "RSE_glmm",  "S15 GLMM-TN RSE-ES"),
  make_scatter_df(df_s16, "y_glmm",   "RSE_glmm",  "S16 GLMM-TN Clust"),
  make_scatter_df(df_s17, "y_eb_pct", "RSE_eb",    "S17 EB-BK All"),
  make_scatter_df(df_s18, "y_eb_pct", "RSE_eb",    "S18 EB-BK RSE-NB"),
  make_scatter_df(df_s19, "y_eb_pct", "RSE_eb",    "S19 EB-BK RSE-ES"),
  make_scatter_df(df_s20, "y_eb_pct", "RSE_eb",    "S20 EB-BK Clust"),
  make_scatter_df(df_s21, "y_eb_pct", "RSE_eb",    "S21 EB-TN All"),
  make_scatter_df(df_s22, "y_eb_pct", "RSE_eb",    "S22 EB-TN RSE-NB"),
  make_scatter_df(df_s23, "y_eb_pct", "RSE_eb",    "S23 EB-TN RSE-ES"),
  make_scatter_df(df_s24, "y_eb_pct", "RSE_eb",    "S24 EB-TN Clust"),
  make_scatter_df(df_s25, "y_hb_pct", "RSE_hb",    "S25 HB-BK All"),
  make_scatter_df(df_s26, "y_hb_pct", "RSE_hb",    "S26 HB-BK RSE-NB"),
  make_scatter_df(df_s27, "y_hb_pct", "RSE_hb",    "S27 HB-BK RSE-ES"),
  make_scatter_df(df_s28, "y_hb_pct", "RSE_hb",    "S28 HB-BK Clust"),
  make_scatter_df(df_s29, "y_hb_pct", "RSE_hb",    "S29 HB-TN All"),
  make_scatter_df(df_s30, "y_hb_pct", "RSE_hb",    "S30 HB-TN RSE-NB"),
  make_scatter_df(df_s31, "y_hb_pct", "RSE_hb",    "S31 HB-TN RSE-ES"),
  make_scatter_df(df_s32, "y_hb_pct", "RSE_hb",    "S32 HB-TN Clust")
)

df_scatter <- bind_rows(Filter(Negate(is.null), scatter_list)) %>%
  filter(!is.na(RSE_direct) & !is.na(RSE_model))

lim_max <- quantile(c(df_scatter$RSE_direct, df_scatter$RSE_model), 0.99, na.rm = TRUE)

ggplot(df_scatter, aes(x = RSE_direct, y = RSE_model)) +
  geom_point(alpha = 0.5, size = 1.3, color = "#2980b9") +
  geom_abline(slope = 1, intercept = 0, linetype = "dashed", color = "#c0392b") +
  geom_hline(yintercept = 25, linetype = "dotted", color = "#e67e22") +
  geom_vline(xintercept = 25, linetype = "dotted", color = "#e67e22") +
  facet_wrap(~ Skenario, ncol = 4, scales = "free") +
  coord_cartesian(xlim = c(0, lim_max), ylim = c(0, lim_max)) +
  labs(title    = "RSE Direct vs RSE Model — 32 Skenario SAE",
       subtitle = "Di bawah diagonal merah = lebih presisi dari direct",
       x = "RSE Direct (%)", y = "RSE Model (%)") +
  theme_minimal(base_size = 9) +
  theme(strip.text = element_text(face = "bold", size = 7),
        plot.title = element_text(face = "bold"))

Heatmap Ringkasan

heat_df <- tabel_eval %>%
  filter(Skenario != "0. Direct") %>%
  mutate(
    pct_25   = `% < 25%`,                        # << nama persis
    Model    = case_when(
      grepl("EBLUP", Skenario)        ~ "EBLUP",
      grepl("GLMM",  Skenario)        ~ "GLMM",
      grepl("EB-BK|EB-TN", Skenario)  ~ "EB-Beta",
      TRUE                             ~ "HB-Beta"
    ),
    AuxMetode = ifelse(grepl("-BK", Skenario), "Backward", "Top-n/10"),
    Partisi   = case_when(
      grepl("All",    Skenario) ~ "All",
      grepl("RSE-NB", Skenario) ~ "RSE-NB",
      grepl("RSE-ES", Skenario) ~ "RSE-ES",
      TRUE                      ~ "Cluster"
    ),
    Partisi   = factor(Partisi,   levels = c("All","RSE-NB","RSE-ES","Cluster")),
    Model     = factor(Model,     levels = c("EBLUP","GLMM","EB-Beta","HB-Beta")),
    AuxMetode = factor(AuxMetode, levels = c("Backward","Top-n/10"))
  )

ggplot(heat_df, aes(x = Partisi, y = Model, fill = pct_25)) +
  geom_tile(color = "white", linewidth = 0.8) +
  geom_text(aes(label = paste0(pct_25, "%")), size = 4, fontface = "bold") +
  facet_wrap(~ AuxMetode, ncol = 2) +
  scale_fill_gradient2(low = "#e74c3c", mid = "#f39c12", high = "#27ae60",
                       midpoint = 60, name = "% Domain\nRSE < 25%") +
  labs(title = "Heatmap Performa — % Domain RSE < 25%",
       subtitle = "Kiri = Backward | Kanan = Top-n/10",
       x = "Partisi", y = "Model") +
  theme_minimal(base_size = 12) +
  theme(plot.title = element_text(face = "bold"),
        strip.text = element_text(face = "bold", size = 12),
        axis.text  = element_text(size = 11))


10. Ringkasan & Kesimpulan

best_rse <- tabel_eval %>%
  filter(Skenario != "0. Direct") %>%
  mutate(pct_25 = `% < 25%`) %>%            # << tarik dulu
  slice_max(pct_25, n = 3, with_ties = FALSE)

best_rb <- tabel_metrik %>%
  slice_min(abs(`RB (%)`), n = 3, with_ties = FALSE)

cat("=== Top 3 Model (% domain RSE < 25%) ===\n")
## === Top 3 Model (% domain RSE < 25%) ===
print(best_rse[, c("Skenario", "pct_25", "% < 15%", "CV Mean")])
##             Skenario pct_25 % < 15% CV Mean
## 1 S15 GLMM-TN RSE-ES   96.3    77.8    8.28
## 2   S31 HB-TN RSE-ES   96.3    81.5   10.54
## 3 S10 GLMM-BK RSE-NB   95.1    82.7   10.20
cat("\n=== Top 3 Model (Relative Bias terkecil) ===\n")
## 
## === Top 3 Model (Relative Bias terkecil) ===
print(best_rb[, c("Skenario", "RB (%)", "RMSE")])
##           Skenario RB (%)  RMSE
## 1 S19 EB-BK RSE-ES  0.488 2.571
## 2 S18 EB-BK RSE-NB  0.505 2.262
## 3 S23 EB-TN RSE-ES  0.531 2.520

Panduan interpretasi 32 skenario:

  1. Seleksi Aux (Backward vs Top-n/10): Backward lebih selektif (stepAIC membuang variabel non-signifikan); Top-n/10 mempertahankan variabel dengan korelasi tertinggi. Keduanya menggunakan floor(n_partisi/10) variabel awal dari pre-filter korelasi.

  2. EBLUP (Normal): Baseline kuat untuk domain tidak terlalu ekstrim proporsinya. Rentan estimasi negatif jika proporsi mendekati 0.

  3. GLMM (Logit, glmmTMB): Menangani bounded response [0,1] lebih proper. Random intercept per domain memberi shrinkage empiris. MSE dari Jackknife leave-one-domain-out.

  4. EB Beta-Binomial: Analytical — cepat dan tidak perlu MCMC. Prior mean domain-spesifik dari regresi logit. Posterior variance analytik dari distribusi Beta konjugat.

  5. HB Beta (saeHB/JAGS): Paling proper secara Bayesian. Memanfaatkan full posterior distribution. Plot posterior dengan 95% CI memperlihatkan ketidakpastian per domain.

  6. Partisi RSE-NB vs RSE-ES: Natural Break (Jenks) memisahkan berdasarkan gap alami distribusi RSE; Equal Size memastikan kedua grup seimbang. RSE-NB lebih heterogen antar grup, RSE-ES lebih stabil dalam estimasi.

  7. Cluster-Aux: Variabel clustering berbeda per kombinasi (Aux method, Link function), membuat cluster lebih relevan secara statistik untuk masing-masing model.


Dianalisis dengan R. Seluruh 32 skenario merupakan kombinasi dari 2 metode seleksi aux × 4 model × 4 partisi.