{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "04ad650c",
   "metadata": {},
   "source": [
    "# 통계적 가설검정 입문\n",
    "## Python 실습 노트북\n",
    "\n",
    "> docx 본문의 예제 코드(5장·7장·8장)와 그림 1~3을 재현합니다.  \n",
    "> docx에 **수치가 직접 적힌 항목**은 5장 Z/p값뿐이며, 나머지는 docx 코드를 실행한 결과 또는 그림에서 읽은 값과 대조했습니다. (맨 아래 대조표 참조)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a785df25",
   "metadata": {},
   "source": [
    "## 0. 환경 설정"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cb328037",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T22:08:45.149425Z",
     "iopub.status.busy": "2026-09-28T22:08:45.148692Z",
     "iopub.status.idle": "2026-09-28T22:08:46.143241Z",
     "shell.execute_reply": "2026-09-28T22:08:46.142177Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "환경 설정 완료\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.font_manager as fm\n",
    "\n",
    "# 한글 폰트 등록\n",
    "fm.fontManager.addfont('/usr/share/fonts/opentype/noto/NotoSansCJK-Regular.ttc')\n",
    "plt.rcParams['font.family'] = 'Noto Sans CJK JP'\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "print('환경 설정 완료')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7207b12b",
   "metadata": {},
   "source": [
    "## 3장. 두 가지 틀리는 방법, 그리고 그 사이의 선택\n",
    "\n",
    "### 그림 1: 기각역 위치에 따른 α와 β의 관계"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "35fa2169",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T22:08:46.145667Z",
     "iopub.status.busy": "2026-09-28T22:08:46.145066Z",
     "iopub.status.idle": "2026-09-28T22:08:46.746708Z",
     "shell.execute_reply": "2026-09-28T22:08:46.745739Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "현재 경계 c=1.4: α=0.0808, β=0.1357\n"
     ]
    }
   ],
   "source": [
    "mu0, mu1, sigma = 0, 2.5, 1.0\n",
    "c = 1.4  # 기각역 경계\n",
    "x = np.linspace(-4, 6, 1000)\n",
    "h0 = stats.norm.pdf(x, mu0, sigma)\n",
    "h1 = stats.norm.pdf(x, mu1, sigma)\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
    "\n",
    "# 왼쪽: H0/H1 분포 + alpha/beta shading\n",
    "ax = axes[0]\n",
    "ax.plot(x, h0, color='#2E5FA3', lw=2, label='$H_0$ 분포 (μ=0)')\n",
    "ax.plot(x, h1, color='#C45911', lw=2, label='$H_1$ 분포 (μ=2.5)')\n",
    "ax.fill_between(x, h0, where=(x >= c), alpha=0.35, color='#2E5FA3', label=f'α (1종 오류) = {stats.norm.sf(c, mu0, sigma):.4f}')\n",
    "ax.fill_between(x, h1, where=(x <= c), alpha=0.35, color='#C45911', label=f'β (2종 오류) = {stats.norm.cdf(c, mu1, sigma):.4f}')\n",
    "ax.axvline(c, color='gray', linestyle='--', lw=1.2, label=f'기각역 경계 c={c}')\n",
    "ax.set_xlabel('검정통계량'); ax.set_ylabel('밀도')\n",
    "ax.set_title('H0과 H1 분포, 기각역')\n",
    "ax.legend(fontsize=8.5, frameon=False)\n",
    "ax.spines['top'].set_visible(False); ax.spines['right'].set_visible(False)\n",
    "\n",
    "# 오른쪽: α vs β trade-off 곡선\n",
    "ax2 = axes[1]\n",
    "c_range = np.linspace(-2, 6, 300)\n",
    "alphas = stats.norm.sf(c_range, mu0, sigma)\n",
    "betas  = stats.norm.cdf(c_range, mu1, sigma)\n",
    "ax2.plot(alphas, betas, color='#1D9E75', lw=2.2)\n",
    "ax2.scatter([stats.norm.sf(c, mu0, sigma)], [stats.norm.cdf(c, mu1, sigma)],\n",
    "            color='red', zorder=5, s=60, label=f'현재 c={c}')\n",
    "ax2.set_xlabel('α (1종 오류 확률)'); ax2.set_ylabel('β (2종 오류 확률)')\n",
    "ax2.set_title('α를 줄이면 β가 커지는 trade-off')\n",
    "ax2.legend(fontsize=9, frameon=False)\n",
    "ax2.spines['top'].set_visible(False); ax2.spines['right'].set_visible(False)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('fig1_alpha_beta.png', dpi=150, facecolor='white', bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "alpha_val = stats.norm.sf(c, mu0, sigma)\n",
    "beta_val  = stats.norm.cdf(c, mu1, sigma)\n",
    "print(f'현재 경계 c={c}: α={alpha_val:.4f}, β={beta_val:.4f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f912741c",
   "metadata": {},
   "source": [
    "## 8장. 검정 방법은 상황에 따라 달라진다 — Z-test와 t-test\n",
    "\n",
    "### 그림 2: 자유도에 따른 t분포와 표준정규분포 비교"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0310f2f3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T22:08:46.748879Z",
     "iopub.status.busy": "2026-09-28T22:08:46.748280Z",
     "iopub.status.idle": "2026-09-28T22:08:47.218006Z",
     "shell.execute_reply": "2026-09-28T22:08:47.217173Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "자유도 30에서 t 꼬리확률: 0.02967\n",
      "정규분포 꼬리확률:         0.02500\n"
     ]
    }
   ],
   "source": [
    "x = np.linspace(-4.5, 4.5, 1000)\n",
    "dfs = [2, 5, 30]\n",
    "colors = ['#C45911', '#1D9E75', '#9B59B6']\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
    "\n",
    "ax = axes[0]\n",
    "ax.plot(x, stats.norm.pdf(x), color='#2E5FA3', lw=2.5, label='표준정규분포 N(0,1)', zorder=5)\n",
    "for df, col in zip(dfs, colors):\n",
    "    ax.plot(x, stats.t.pdf(x, df), color=col, lw=1.8, linestyle='--', label=f't분포 (자유도={df})')\n",
    "ax.set_xlabel('값'); ax.set_ylabel('밀도')\n",
    "ax.set_title('자유도에 따른 t분포 vs 표준정규분포\\n자유도가 작을수록 꼬리가 두껍다')\n",
    "ax.legend(fontsize=8.5, frameon=False)\n",
    "ax.spines['top'].set_visible(False); ax.spines['right'].set_visible(False)\n",
    "\n",
    "# 오른쪽: 자유도별 꼬리확률 수렴\n",
    "ax2 = axes[1]\n",
    "all_dfs = np.arange(2, 80)\n",
    "tail_t    = [stats.t.sf(1.96, df) for df in all_dfs]\n",
    "tail_norm = stats.norm.sf(1.96)\n",
    "ax2.plot(all_dfs, tail_t, color='#C45911', lw=2, label='t분포 꼬리확률 (z=1.96)')\n",
    "ax2.axhline(tail_norm, color='#2E5FA3', lw=1.5, linestyle='--', label=f'정규분포 꼬리확률 = {tail_norm:.5f}')\n",
    "ax2.set_xlabel('자유도 (표본크기 - 1)'); ax2.set_ylabel('단측 꼬리확률')\n",
    "ax2.set_title('자유도가 커질수록 t분포의 꼬리확률이\\n정규분포에 수렴한다')\n",
    "ax2.legend(fontsize=8.5, frameon=False)\n",
    "ax2.spines['top'].set_visible(False); ax2.spines['right'].set_visible(False)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('fig2_z_vs_t.png', dpi=150, facecolor='white', bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "print(f'자유도 30에서 t 꼬리확률: {stats.t.sf(1.96, 30):.5f}')\n",
    "print(f'정규분포 꼬리확률:         {tail_norm:.5f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30e2b94d",
   "metadata": {},
   "source": [
    "## 7장. 검정력과 표본크기\n",
    "\n",
    "### 그림 3: 표본크기와 효과크기에 따른 검정력 변화"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "661f5963",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T22:08:47.220333Z",
     "iopub.status.busy": "2026-09-28T22:08:47.219679Z",
     "iopub.status.idle": "2026-09-28T22:08:47.758606Z",
     "shell.execute_reply": "2026-09-28T22:08:47.757621Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "효과크기 0.2: 검정력 0.8 달성 최소 표본크기 = 197\n",
      "효과크기 0.5: 검정력 0.8 달성 최소 표본크기 = 32\n",
      "효과크기 0.8: 검정력 0.8 달성 최소 표본크기 = 13\n",
      "[docx 코드 확인] 효과크기 0.2: 필요 표본크기 = 197\n",
      "[docx 코드 확인] 효과크기 0.5: 필요 표본크기 = 32\n",
      "[docx 코드 확인] 효과크기 0.8: 필요 표본크기 = 13\n"
     ]
    }
   ],
   "source": [
    "alpha_level = 0.05\n",
    "z_crit = stats.norm.ppf(1 - alpha_level/2)  # 양측검정\n",
    "sigma  = 1.0\n",
    "\n",
    "def power(n, effect, sigma=1.0):\n",
    "    se    = sigma / np.sqrt(n)\n",
    "    z_eff = effect / se\n",
    "    return 1 - stats.norm.cdf(z_crit - z_eff) + stats.norm.cdf(-z_crit - z_eff)\n",
    "\n",
    "ns = np.arange(5, 200)\n",
    "effect_sizes = [0.2, 0.5, 0.8]\n",
    "colors_p = ['#AAAAAA', '#C45911', '#2E5FA3']\n",
    "labels_p = ['효과크기 0.2 (작음)', '효과크기 0.5 (중간)', '효과크기 0.8 (큼)']\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(9, 5))\n",
    "for eff, col, lab in zip(effect_sizes, colors_p, labels_p):\n",
    "    pows = [power(n, eff) for n in ns]\n",
    "    ax.plot(ns, pows, color=col, lw=2.2, label=lab)\n",
    "\n",
    "ax.axhline(0.8, color='black', lw=1.2, linestyle='--', label='검정력 0.8 기준선')\n",
    "ax.set_xlabel('표본크기 (n)'); ax.set_ylabel('검정력 (1 - β)')\n",
    "ax.set_title('표본크기에 따른 검정력 (α=0.05, 양측검정)\\n효과크기가 클수록 적은 표본으로도 검정력 달성')\n",
    "ax.legend(fontsize=9, frameon=False)\n",
    "ax.set_ylim(0, 1.05)\n",
    "ax.spines['top'].set_visible(False); ax.spines['right'].set_visible(False)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig('fig3_power.png', dpi=150, facecolor='white', bbox_inches='tight')\n",
    "plt.show()\n",
    "\n",
    "# 검정력 0.8 달성 최소 표본크기\n",
    "for eff in effect_sizes:\n",
    "    for n in range(5, 500):\n",
    "        if power(n, eff) >= 0.8:\n",
    "            print(f'효과크기 {eff}: 검정력 0.8 달성 최소 표본크기 = {n}')\n",
    "            break\n",
    "\n",
    "# docx 7장 코드(statsmodels)로 같은 값이 나오는지 확인\n",
    "from statsmodels.stats.power import NormalIndPower\n",
    "analysis = NormalIndPower()  # ratio=0 → 1표본 검정력\n",
    "for eff in effect_sizes:\n",
    "    n_req = analysis.solve_power(eff, power=0.8, alpha=0.05, ratio=0)\n",
    "    print(f'[docx 코드 확인] 효과크기 {eff}: 필요 표본크기 = {int(np.ceil(n_req))}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6db93150",
   "metadata": {},
   "source": [
    "## 5장. 가설검정 5단계 실전 절차\n",
    "\n",
    "### 예제: 부품 평균 길이 검정 (Z-test)\n",
    "\n",
    "> 어느 공정에서 만든 부품의 평균 길이가 50mm여야 하는데,  \n",
    "> 표본 36개를 측정해 평균 50.8mm, 모표준편차 2mm로 알려져 있다고 합시다."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5730fcc2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T22:08:47.760442Z",
     "iopub.status.busy": "2026-09-28T22:08:47.760194Z",
     "iopub.status.idle": "2026-09-28T22:08:47.766861Z",
     "shell.execute_reply": "2026-09-28T22:08:47.766003Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== 5장 예제 (Z-test) ===\n",
      "Z 통계량: 2.400\n",
      "p값:      0.0164\n",
      "결론: 귀무가설 기각\n",
      "\n",
      "[docx 대조] Z=2.400 → 일치\n",
      "[docx 대조] p=0.0164 → 일치  (계산값: 0.0164)\n"
     ]
    }
   ],
   "source": [
    "mu0   = 50      # 귀무가설의 모평균\n",
    "sigma = 2       # 모표준편차 (알고 있다고 가정)\n",
    "n     = 36      # 표본크기\n",
    "xbar  = 50.8    # 표본평균\n",
    "alpha = 0.05    # 유의수준\n",
    "\n",
    "# 1단계: 가설 설정\n",
    "# H0: μ = 50,  H1: μ ≠ 50 (양측검정)\n",
    "\n",
    "# 2단계: 유의수준 α = 0.05 결정\n",
    "\n",
    "# 3단계: 검정통계량 계산\n",
    "z = (xbar - mu0) / (sigma / np.sqrt(n))\n",
    "\n",
    "# 4단계: p값 계산 (양측검정)\n",
    "p_value = 2 * (1 - stats.norm.cdf(abs(z)))\n",
    "\n",
    "# 5단계: 결론\n",
    "result = '귀무가설 기각' if p_value < alpha else '귀무가설 기각 못함'\n",
    "\n",
    "print('=== 5장 예제 (Z-test) ===')\n",
    "print(f'Z 통계량: {z:.3f}')\n",
    "print(f'p값:      {p_value:.4f}')\n",
    "print(f'결론: {result}')\n",
    "print()\n",
    "print(f'[docx 대조] Z=2.400 → {\"일치\" if abs(z - 2.4) < 0.001 else \"불일치\"}')\n",
    "print(f'[docx 대조] p=0.0164 → {\"일치\" if abs(p_value - 0.0164) < 0.0001 else \"불일치\"}  (계산값: {p_value:.4f})')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "19140603",
   "metadata": {},
   "source": [
    "## 8장. Z-test vs t-test 비교\n",
    "\n",
    "> 동일한 데이터에 대해 σ를 안다고 가정(Z-test)한 경우와  \n",
    "> σ를 모른다고 가정(t-test)한 경우를 각각 수행합니다."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "425e2d32",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-28T22:08:47.768774Z",
     "iopub.status.busy": "2026-09-28T22:08:47.768253Z",
     "iopub.status.idle": "2026-09-28T22:08:47.776675Z",
     "shell.execute_reply": "2026-09-28T22:08:47.775950Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=== 8장 예제 (Z-test vs t-test) ===\n",
      "표본크기: 12, 표본평균: 50.4667\n",
      "Z-test: Z=0.808,  p=0.4189\n",
      "t-test: T=2.976,  p=0.0126  (자유도=11)\n",
      "표본표준편차 s = 0.5433  (Z-test에서 가정한 σ = 2)\n",
      "해석: 두 결론이 갈린 주된 원인은 표본크기가 아니라, 가정한 σ(2)가 실제 퍼짐(s≈0.54)보다 훨씬 크기 때문\n",
      "참고: σ 자리에 s를 넣으면 Z=2.976, p=0.0029 → t-test와 같은 결론\n",
      "      → σ를 잘못 알고 있으면 Z-test 결론이 뒤집힐 수 있다\n",
      "두 결론 일치 여부 (α=0.05): False\n"
     ]
    }
   ],
   "source": [
    "data = np.array([51.2, 49.8, 50.5, 50.9, 49.6, 50.7, 51.1, 50.3,\n",
    "                  50.0, 50.6, 49.9, 51.0])\n",
    "mu0  = 50\n",
    "n    = len(data)\n",
    "xbar = data.mean()\n",
    "\n",
    "# Z-test: 모표준편차를 2로 '안다고' 가정\n",
    "sigma = 2\n",
    "z = (xbar - mu0) / (sigma / np.sqrt(n))\n",
    "p_z = 2 * (1 - stats.norm.cdf(abs(z)))\n",
    "\n",
    "# t-test: 표본표준편차로 추정 (scipy 내장 함수)\n",
    "t_stat, p_t = stats.ttest_1samp(data, mu0)\n",
    "\n",
    "print('=== 8장 예제 (Z-test vs t-test) ===')\n",
    "print(f'표본크기: {n}, 표본평균: {xbar:.4f}')\n",
    "print(f'Z-test: Z={z:.3f},  p={p_z:.4f}')\n",
    "print(f't-test: T={t_stat:.3f},  p={p_t:.4f}  (자유도={n-1})')\n",
    "s = data.std(ddof=1)\n",
    "print(f'표본표준편차 s = {s:.4f}  (Z-test에서 가정한 σ = {sigma})')\n",
    "print(f'해석: 두 결론이 갈린 주된 원인은 표본크기가 아니라, 가정한 σ({sigma})가 실제 퍼짐(s≈{s:.2f})보다 훨씬 크기 때문')\n",
    "z_s = (xbar - mu0) / (s / np.sqrt(n))\n",
    "print(f'참고: σ 자리에 s를 넣으면 Z={z_s:.3f}, p={2*stats.norm.sf(abs(z_s)):.4f} → t-test와 같은 결론')\n",
    "print('      → σ를 잘못 알고 있으면 Z-test 결론이 뒤집힐 수 있다')\n",
    "print(f'두 결론 일치 여부 (α=0.05): {(p_z < 0.05) == (p_t < 0.05)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43ae282a",
   "metadata": {},
   "source": [
    "## docx 대조 요약\n",
    "\n",
    "| 항목 | docx 근거 | 노트북 출력 | 판정 |\n",
    "|---|---|---|---|\n",
    "| 5장 Z 통계량 / p값 | 본문 코드 주석에 명시: 2.400 / 0.0164 | 2.400 / 0.0164 | ✅ 일치 |\n",
    "| 그림 1 α/β (c=1.4) | 그림의 점 위치(α≈0.08, β≈0.14) | 0.0808 / 0.1357 | ✅ 그림과 일치 |\n",
    "| 그림 3 꼬리확률 | 그림(자유도 30에서 약 0.03, 정규 0.025) | 0.02967 / 0.02500 | ✅ 그림과 일치 |\n",
    "| 7장 검정력 0.8 필요 n | 그림 2(효과 0.2가 n≈200에서 0.8 도달) | 197 / 32 / 13 | ✅ 그림·docx 코드(ratio=0)와 일치 |\n",
    "| 8장 Z/t 결과 | docx에 코드만 있고 출력 수치 없음 | Z=0.808(p=0.4189), T=2.976(p=0.0126) | docx 코드 재실행값 |\n",
    "\n",
    "> 8장 예제에서 Z와 t의 결론이 갈린 원인은 표본크기(n=12)가 아니라 **가정한 σ=2가 실제 표본표준편차(0.54)보다 훨씬 크기 때문**입니다."
   ]
  }
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