{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# 23 - Challenges with Effect Heterogeneity and Nonlinearity\n", "\n", "인과추론의 어려운 점은 `potential outcome`의 모든 결과를 알 수 없다는 것입니다. `unit` 수준의 처치 효과(`ground truth`)를 알 방법이 없습니다. 앞 장에서 조건부 처치 효과(`CATE`)를 추정하기 위해 `target transformation`(목표 변환)을 사용하는 방법을 배웠습니다. 목표 변환에서는 과적합으로 인한 문제가 있었습니다. 이는 얻은 인과 모델을 적용할 수 없는 이유가 되기도 하는데, 처치를 개인화하려 할 때 잘못된 결론을 줄 수 있기 때문입니다.\n", "\n", "`CATE`를 직접 추정하지 않는 대신 분산이 작은 `target`에 집중한다면 종종 더 나은 방법으로 처치 효과를 개인화할 수 있습니다. 특히 `outcome` $Y$가 `binary`일 때 유용합니다.\n", "\n", "## Treatment Effects on Binary Outcomes" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "hide-input" ] }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "from toolz import curry\n", "from matplotlib import pyplot as plt\n", "from matplotlib import style\n", "style.use(\"ggplot\")\n", "\n", "@curry\n", "def avg_treatment_effect(df, treatment, outcome):\n", " return df.loc[df[treatment] == 1][outcome].mean() - df.loc[df[treatment] == 0][outcome].mean() \n", "\n", "@curry\n", "def cumulative_effect_curve(df: pd.DataFrame,\n", " treatment: str,\n", " outcome: str,\n", " prediction: str,\n", " min_rows: int = 30,\n", " steps: int = 100,\n", " effect_fn = avg_treatment_effect) -> np.ndarray:\n", " \n", " size = df.shape[0]\n", " ordered_df = df.sort_values(prediction, ascending=False).reset_index(drop=True)\n", " n_rows = list(range(min_rows, size, size // steps)) + [size]\n", " return np.array([effect_fn(ordered_df.head(rows), treatment, outcome) for rows in n_rows])\n", "\n", "@curry\n", "def cumulative_gain_curve(df: pd.DataFrame,\n", " treatment: str,\n", " outcome: str,\n", " prediction: str,\n", " min_rows: int = 30,\n", " steps: int = 100,\n", " effect_fn = avg_treatment_effect) -> np.ndarray:\n", "\n", " size = df.shape[0]\n", " n_rows = list(range(min_rows, size, size // steps)) + [size]\n", "\n", " cum_effect = cumulative_effect_curve(df=df, treatment=treatment, outcome=outcome, prediction=prediction,\n", " min_rows=min_rows, steps=steps, effect_fn=effect_fn)\n", "\n", " return np.array([effect * (rows / size) for rows, effect in zip(n_rows, cum_effect)])\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "테크 기업에서 직면하는 일반적인 문제를 생각해봅시다. 경영진은 일종의 넛지 효과로 제품 구매율을 높이고 싶습니다. 예를 들어 인앱 결제로 편하게 제품을 구매하도록 $10$ BRL만큼 혜택을 제공해 앱 설치 수를 늘리거나, 추천인에 대한 혜택을 제공하거나, 처음 3개월 동안 무료 배송 혜택을 주려 합니다. 넛지 효과를 만드는 방법은 비용이 많이 들어 경영진은 일부 민감한 고객에게만 혜택을 주려 합니다.\n", " \n", "인과 추론에 능한 여러분이라면 이 문제의 목표가 `treatment effect heterogeneity`(`TEH`, 처치 효과 이질성)를 구하는 것임을 이미 아실겁니다. `treatment` $T$는 넛지 효과를 주는 행위, `outcome` $Y$는 구매 전환, `feature` $X$는 사전에 가지고 있는 고객 데이터입니다. `Double/Debiased ML` 같은 방법으로 조건부 평균 처치 효과 $E[Y_1 - Y_0|X]$ (처치가 연속이면 $E[Y'(T)|X]$)를 추정하고 처치 효과가 큰 고객을 대상으로 구매를 독려할 수 있습니다. 비즈니스 용어로는 **전환 전략을 개인화**할 수 있습니다. 즉, 구매 전환율이 높은 고객을 대상으로만 넛지 전략을 사용합니다.\n", " \n", "하지만 `outcome`이 `binary`일 때는 `TEH`를 구하기가 어렵습니다. 바로 이해하기는 어렵습니다. 어떤 문제가 발생하는지 먼저 보고 왜 문제가 발생하는지 말씀드리겠습니다.\n", "\n", "## Simulating Some Data\n", " \n", "시뮬레이션으로 데이터를 만들어 봅시다. `treatment`인 `nudge`를 $p=0.5$인 베르누이 분포에서 추출하여 무작위로 할당합니다. 마치 동전 던지기와 같습니다. 무작위 할당이므로 교란 요인은 더 이상 생각하지 않아도 됩니다.\n", " \n", "$ nudge \\sim \\mathcal{B}(0.5) $\n", " \n", "다음은 감마 분포를 사용해 고객의 `covariate`(공변량)인 `age`와 `income`을 할당합니다. `age`와 `income`은 이미 알고 있는 고객 정보로 이를 기반으로 개인화하고자 합니다. 즉, `age`와 `income`으로 정의된 고객 그룹 중 `nudge`에 민감한 그룹을 찾습니다.\n", " \n", "$ age \\sim G(10, 4) $\n", " \n", "$ income \\sim G(20, 2) $\n", " \n", "마지막으로 구매 전환 데이터를 시뮬레이션합니다. 데이터를 만들기 위해 **무작위 잡음이 포함된 선형 잠재 변수를 만듭니다.** 중요한 점은 `income`은 $Y_{latent}$을 잘 따르지만 **처치 효과를 바꾸지 않는다는 것입니다.** 간단히 말해 `nudge`는 모든 수준의 `income`에 대해 $Y_{latent}$를 똑같이 바꿉니다. 반대로 `age`는 `nudge`와 상호작용하는 방법으로만 $Y_{latent}$에 영향을 줍니다. $Y_{latent}$는 아래 수식과 같이 평균이 `age`, `income`, `nudge`의 선형 결합, 분산이 $1$인 정규분포를 따릅니다.\n", " \n", "$Y_{latent} \\sim N(-4.5 + 0.001 \\times income + nudge + 0.01 \\times nudge \\times age, 1)$\n", " \n", "$Y_{latent}$를 구하고 기준값 $x$를 사용해 `conversion`을 얻을 수 있습니다. ($conversion = 1\\{Y_{latent} > x \\}$). `conversion` 비율이 대략 $50$%가 되도록 $x=0$으로 설정합니다. 즉, 평균적으로 50%의 고객은 `nudge`가 구매로 이어집니다." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "np.random.seed(123)\n", "\n", "n = 100000\n", "nudge = np.random.binomial(1, 0.5, n)\n", "age = np.random.gamma(10, 4, n)\n", "estimated_income = np.random.gamma(20, 2, n)*100\n", "\n", "latent_outcome = np.random.normal(-4.5 + estimated_income*0.001 + nudge + nudge*age*0.01)\n", "conversion = (latent_outcome > .1).astype(int)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "편의상 모든 데이터를 데이터프레임으로 만듭니다. 추가로 `conversion` 평균값이 실제로 $50$%에 가까운지 확인해봅시다." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "conversion 0.518260\n", "nudge 0.500940\n", "age 40.013487\n", "estimated_income 3995.489527\n", "latent_outcome 0.197076\n", "dtype: float64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(dict(conversion=conversion,\n", " nudge=nudge,\n", " age=age,\n", " estimated_income=estimated_income,\n", " latent_outcome=latent_outcome))\n", "\n", "df.mean()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "처치가 무작위이므로 `ATE`는 실험군과 대조군의 단순한 평균 차이로 추정할 수 있습니다. ($E[Y|T=1] - E[Y|T=0]$) 먼저 `latent_outcome`, `conversion`에 대한 `ATE`를 계산합니다." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " latent_outcome conversion\n", "nudge \n", "0 -0.505400 0.320503\n", "1 0.896916 0.715275" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.groupby(\"nudge\")[[\"latent_outcome\", \"conversion\"]].mean()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.4023163965477656" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avg_treatment_effect(df, \"nudge\", \"latent_outcome\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.39477273768476406" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avg_treatment_effect(df, \"nudge\", \"conversion\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`latent_outcome`에 대한 `ATE`는 쉽게 이해할 수 있습니다. 데이터 생성 방법에 따라 처치 효과는 $1 + 0.01 \\times avg(age)$이라는 사실을 알고 있습니다. 평균 나이가 40세 정도이므로 `ATE`는 거의 $1.4$입니다. `conversion`에 대한 `ATE`는 더 복잡하지만 재미있습니다. **conversion은 0과 1 사이로 제한되어 있어 ATE는 선형이 아닙니다.** 따라서 `latent_outcome`처럼 공식을 통해 `ATE`를 얻을 수 없습니다. 실제로는 가능하지만, 꽤 복잡합니다. 그냥 숫자가 작은 것으로 생각하고 넘어갑니다. 제 말은 `conversion`이 $100$%를 넘을 수 없으므로 `nudge`가 `conversion`을 $1.4$만큼 늘릴 방법이 없다는 의미입니다. 이 사실은 뒤 내용을 이해하는데 중요하므로 기억해 둡시다.\n", " \n", "이제 `CATE`(조건부 평균 처치 효과)를 알아보겠습니다. 데이터 생성 과정에 따라 `income`으로 `conversion`을 예측할 수 있지만, `nudge` 효과를 바꾸지는 않습니다. 따라서 `income`을 기준으로 고객 그룹을 나누면 모든 그룹이 같은 처치 효과를 갖습니다. 반면 `age`는 `nudge`와 상호작용으로만 `conversion`에 영향을 줍니다. 따라서 `age`는 처치에 따라 다르게 반응합니다. 즉, `income`은 좋은 개인화 변수가 아니며, `age`는 좋은 개인화 변수입니다.\n", " \n", "누적 효과 곡선으로 이를 확인할 수 있습니다. `age` 곡선은 `ATE`로부터 먼 곳에서 `ATE`로 천천히 수렴해야 하며, `income` 곡선은 `ATE`를 중심으로 움직일 것입니다. `latent_outcome`에서는 예상한 결과를 확인할 수 있습니다." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cumulative_effect_fn = cumulative_effect_curve(df, \"nudge\", \"latent_outcome\", min_rows=500)\n", "\n", "age_cumm_effect_latent = cumulative_effect_fn(prediction=\"age\")\n", "inc_cumm_effect_latent = cumulative_effect_fn(prediction=\"estimated_income\")\n", "\n", "plt.plot(age_cumm_effect_latent, label=\"age\")\n", "plt.plot(inc_cumm_effect_latent, label=\"est. income\")\n", "plt.legend()\n", "plt.xlabel(\"Percentile\")\n", "plt.ylabel(\"Effect on Latet Outcome\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`latent_outcome`에 대한 결과는 매우 좋습니다. 선형성에 의해 예상한 결과가 그대로 나타납니다. 하지만 `latent_outcome`은 관심 대상이 아닙니다. `conversion`에 더 관심이 있습니다. `conversion`에 대해서는 상황이 복잡해집니다. 누적 효과 곡선에서 `age`는 여전히 `ATE`보다 큰 데서 시작해 서서히 `ATE`로 수렴하는 처치 효과 이질성을 보여줍니다. `age`가 높을수록 처치 효과가 높습니다. 지금까지는 예상한 그대로입니다." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cumulative_effect_fn = cumulative_effect_curve(df, \"nudge\", \"conversion\", min_rows=500)\n", "\n", "age_cumm_effect_latent = cumulative_effect_fn(prediction=\"age\")\n", "inc_cumm_effect_latent = cumulative_effect_fn(prediction=\"estimated_income\")\n", "\n", "plt.plot(age_cumm_effect_latent, label=\"age\")\n", "plt.plot(inc_cumm_effect_latent, label=\"est. income\")\n", "plt.legend()\n", "plt.xlabel(\"Percentile\")\n", "plt.ylabel(\"Effect on Conversino\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "하지만 `income`에 대한 처치 효과 이질성도 커 보입니다. `income`이 높은 고객은 처치 효과가 훨씬 작으므로 누적 효과 곡선은 $0$에서 시작해 서서히 `ATE`로 수렴합니다. 이 결과는 `income`이 `age`보다 개인화에 유용한 변수라는 사실을 말해줍니다.\n", "\n", "불편하지 않나요? 처치 효과 이질성을 유도하기 위한 `age`가 처치 효과에 영향을 주지 않는 `income`과 비교해 개인화에 더 나쁜 이유는 무엇일까요? 정답은 `conversion`의 **비선형성**에 있습니다. 비록 `income`은 `latent outcome`에 대해 `nudge`의 영향을 바꾸지 않지만, `latent outcome`을 변환하면 영향을 줄 수 있습니다. 선형 변환이 아니기 때문입니다. 따라서 **미분값이 달라집니다.** `conversion`의 최댓값은 $1$이므로 이미 매우 높은 상태라면 증가하기 어렵습니다. 즉, `conversion`이 클 때 미분값은 매우 작습니다. 반면 `conversion`의 최솟값은 $0$이므로 매우 낮은 `conversion`에 대해서도 미분값이 매우 작습니다. 따라서 `conversion`은 양쪽 끝에 작은 미분값을 가지는 `S`모양을 따릅니다. `income`을 $100$개 그룹으로 나누어 개별 그룹 내 평균 `conversion`을 그려보면 `S`모양을 확인할 수 있습니다." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(df\n", " .assign(estimated_income_bins=(df[\"estimated_income\"]/100).astype(int)*100)\n", " .groupby(\"estimated_income_bins\")\n", " [[\"conversion\"]]\n", " .mean()\n", " .plot()\n", ");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`conversion`이 클 때, 곡선의 기울기(미분값)는 매우 낮습니다. 작을 때도 마찬가지 입니다. (데이터 수가 적어 명확히 보이지는 않습니다) 이제 `income`이 처치 효과 이질성이 높은 그룹을 만드는 이유를 설명할 수 있습니다.\n", " \n", "`income`으로 `conversion`을 잘 예측할 수 있으므로 `income`이 다른 고객은 `S`자 곡선에서 다른 위치에 있다고 볼 수 있습니다. `income`이 매우 높거나 낮은 고객은 기울기가 낮은 극단에 해당하며, `conversion`을 바꾸기 어렵습니다. 따라서 처치 효과가 작을 가능성이 높습니다. 반면 `income`이 중간 수준의 고객은 미분값이 높은 구간에 해당하므로 처치 효과 또한 클 가능성이 높습니다. 비선형 함수를 통과할 때 보이는 미분값보다 클 정도로 강력하게 처치 효과를 수정할 수 있기 때문이라 생각합니다. 제 경험상 `S`형 변환은 우리가 가진 다른 모든 효과보다 큰 영향을 줍니다.\n", "\n", "저만 이러한 주장을 하는 것은 아닙니다. 아래는 콜롬비아 데이터 과학 연구소에서 발표된 `Susan Athey`의 슬라이드에서 발췌한 그림입니다. `Susan Athey`는 대학 학비를 충당하기 위해 정부 지원 신청을 유도하는 것의 효과를 논의하고 있습니다. 이 또한 `conversion` 문제입니다. `Susan Athey`가 발견한 최고의 전략은 `conversion` 가능성이 있는 학생을 대상으로 신청을 유도하는 것입니다. 또한, `conversion` 가능성이 낮은 사람을 대상으로 지원 신청을 유도하는 것은 나쁜 생각이라 주장합니다.\n", " \n", "![image.png](data/img/hte-binary-outcome/slide-susan-athey.png)\n", " \n", "잠깐만요! 당신이 처음 주장한 것과 다른데요? `conversion`이 매우 높거나 낮으면 미분값이 낮으므로 처치 효과 또한 낮다고 하지 않았나요?\n", " \n", "음... 맞습니다. 하지만 실제로 `conversion`이 전체 `S`형 곡선을 포함하는 경우는 거의 없습니다. 보통은 곡선의 한쪽 끝에 몰려있습니다. 비즈니스 측면에서 평균 `conversion`이 $50$%인 경우는 거의 없습니다. $70~90$%나 $1~20$% 정도인 경우가 많습니다. 이러한 상황에서는 기준이 높은 사람을 대상으로 처치 하는 것이 좋을 수 있습니다.\n", "\n", "문제를 다시 한번 살펴보겠습니다. `latent_outcome`은 그대로 하되 `conversion`은 `latent_outcome`이 $2$ 이상으로 설정해 평균적으로 `conversion`이 낮은 상황을 만듭니다. 또한, `latent_outcome > -2`로 설정해 `conversion`이 높은 상황도 만들어 봅시다." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Avg. Low Conversion: 0.12119\n", "Avg. High Conversion: 0.9275\n" ] } ], "source": [ "df[\"conversion_low\"] = conversion = (latent_outcome > 2).astype(int)\n", "df[\"conversion_high\"] = conversion = (latent_outcome > -2).astype(int)\n", "\n", "print(\"Avg. Low Conversion: \", df[\"conversion_low\"].mean())\n", "print(\"Avg. High Conversion: \", df[\"conversion_high\"].mean())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "비선형 성질에 따라 무슨 일이 생길지 이해해봅시다. `conversion`이 낮은 상황에서는 높은 기준의 `conversion`(높은 `income`)이 효과적입니다. 이미 `S`자 곡선의 왼쪽에 있으므로 기준이 낮을수록 미분값 또한 작아집니다. **높은 기준은 높은 처치 효과**가 됩니다. 따라서 기준이 높은 고객(높은 `income`)에게 집중해야 합니다." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cumulative_effect_fn = cumulative_effect_curve(df, \"nudge\", \"conversion_low\", min_rows=500)\n", "\n", "age_cumm_effect_latent = cumulative_effect_fn(prediction=\"age\")\n", "inc_cumm_effect_latent = cumulative_effect_fn(prediction=\"estimated_income\")\n", "\n", "plt.plot(age_cumm_effect_latent, label=\"age\")\n", "plt.plot(inc_cumm_effect_latent, label=\"est. income\")\n", "plt.xlabel(\"Percentile\")\n", "plt.ylabel(\"Effect on Conversino\");\n", "plt.legend();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "예상한 것처럼 높은 `income`을 가진 사람에 대한 처치 효과가 큽니다.\n", " \n", "`conversion`이 높은 상황에서는 **기준값이 높을수록 처치 효과가 작습니다.** 이때는 `income`이 높은 고객을 상대하는 것은 좋지 않습니다. 역 누적 효과 곡선으로 `income`이 낮을수록 처치 효과가 커진다는 사실을 알 수 있습니다." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cumulative_effect_fn = cumulative_effect_curve(df, \"nudge\", \"conversion_high\", min_rows=500)\n", "\n", "age_cumm_effect_latent = cumulative_effect_fn(prediction=\"age\")\n", "inc_cumm_effect_latent = cumulative_effect_fn(prediction=\"estimated_income\")\n", "\n", "plt.plot(age_cumm_effect_latent, label=\"age\")\n", "plt.plot(inc_cumm_effect_latent, label=\"est. income\")\n", "plt.xlabel(\"Percentile\")\n", "plt.ylabel(\"Effect on Conversino\")\n", "plt.legend();" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "`binary outcome`인 상황에서는 처치 효과가 로지스틱 함수의 곡률(미분값)로 정해지는 경향이 있습니다.\n", "\n", "![image.png](data/img/hte-binary-outcome/logistic.png)\n", " \n", "예를 들어, `conversion` 문제에서 **평균 conversion이 낮으면 로지스틱 곡선의 왼쪽에 있으며 처치 효과는 높은 기준선에서**에서 더 높습니다. 따라서 전환 가능성이 이미 높은 고객을 처치(`nudge`)하는 것을 옹호하는 정책을 만들 수 있습니다. 반면 **평균 conversion이 높은** 경우 로지스틱 곡선의 오른쪽에 있게 되며, 여기서 미분값(처치 효과)은 낮은 기준에서 높습니다.\n", "\n", "기억해야 할 것이 많지만 다음과 같이 단순하게 표현됩니다. **50%에 가까운 고객에게 집중하세요.** 수학적 주장은 상당히 확고합니다. 로지스틱 함수의 도함수는 $50$%에서 최댓값이므로 이 주변의 `unit`을 중요하게 다루어야 합니다.\n", "\n", "더욱 멋진 점은 상식과 수학이 일치하는 드문 경우 중 하나라는 것입니다. 일반적으로 마케팅 분야에는 손실 베팅(전환 확률이 낮은 고객)이나 확실한 승리(전환 확률이 높은 고객)를 대상으로 하면 안 된다는 믿음이 있습니다. 즉, 중간의 고객을 목표로 해야 합니다. 이 믿음은 인과관계를 파악하여 얻은 결론과 정확하게 같아 꽤 흥미롭습니다." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Continues Treatment and Non Linearity\n", " \n", "앞에서 이종 처치 효과 분석을 어렵게 만드는 상황을 이진 결과 예시로 자세히 살펴보았습니다. 마케팅 분야의 구매 전환에만 문제가 있는 것은 아닙니다. $2021$년, COVID19 백신이 처음으로 생산되었습니다. 당시 누구에게 백신을 먼저 제공할지 결정하는 것은 중요한 문제였습니다. 이 또한 `TEH` 문제입니다. 보건 전문가들은 가장 효과가 큰 사람들에 백신을 먼저 제공했습니다. 백신의 효과는 사망이나 입원을 막는 것입니다. 어떤 사람들에 효과가 컸을까요? 대부분 국가에서 노인이나 나쁜 건강 상태를 가진 사람에게 효과가 컸습니다. 이들은 **COVID19에 걸리면 사망할 가능성이 높은** 사람들입니다. 다행히도 COVID19 사망률은 $50$%보다 훨씬 낮으며, 로지스틱 함수 왼쪽에 위치합니다. 구매 전환 예시에서 주장한 것과 마찬가지로 COVID19에 걸렸을 때 사망할 가능성이 높은 사람들에 먼저 백신을 제공하는 것은 타당해 보입니다. 우연의 일치일까요? 아마도요. 저는 보건 전문가가 아니기 때문에 틀릴 수도 있습니다. 하지만 논리적으로 말이 된다고 생각합니다.\n", "\n", "구매 전환과 COVID19 모두 **결과 함수의 비선형성**으로 처치 효과 이질성 분석이 복잡해집니다. 앞에서 살펴본 로지스틱 함수는 종종 나타나는 패턴입니다. 특히 연속형 처치에서 계속해서 나타납니다. 마지막으로 하나의 예시를 더 살펴보겠습니다.\n", "\n", "고전적인 가격 문제를 풀어봅시다. 당신은 넷플릭스나 HBO와 같은 스트리밍 회사에서 일합니다. 당신은 고객에게 얼마의 비용을 청구해야 하는지 정하고 싶습니다. 당신은 고객들이 가격 인상에 얼마나 민감한지, 어떤 유형의 고객들이 더 민감한지 알아보기 위해 무작위 고객을 대상으로 $5$ BLR/월, $10$ BRL/월, $15$ BRL/월, $20$ BRL/월 등 다양한 비용을 할당하는 실험을 했습니다. 그 결과 아래 그림과 같이 소득이 높은 고객 `A`와 소득이 낮은 고객 `B`를 나눌 수 있었습니다." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = pd.DataFrame(dict(\n", " segment= [\"b\", \"b\", \"b\", \"b\", \"a\", \"a\", \"a\", \"a\",],\n", " price=[5, 10, 15, 20, ] * 2,\n", " sales=[5100, 5000, 4500, 3000, 5350, 5300, 5000, 4500]\n", "))\n", "\n", "plt.figure(figsize=(8,4))\n", "sns.lineplot(data=data, x=\"price\", y=\"sales\", hue=\"segment\")\n", "plt.title(\"Avg. Sales by Price (%) by Customer Segment\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "데이터로 가격 할인에 더 민감한 사람을 찾아봅시다. 어떻게 **가격 민감도로 고객을 구분**할 수 있을까요? 그림에서는 고객 `A`가 `sales`(판매량)은 높지만, 할인에 덜 민감한 것 같습니다. 또한, 약간의 곡률도 보입니다. 곡률을 고려하면 처치 효과는 곡선의 위치에 따라 달라집니다. 예를 들어 고객 `A`에 대한 $15$ BRL에서 $10$ BRL까지의 처치 효과는 고객 `B`에 대해 $5$ BRL에서 $10$ BRL까지의 처치 효과보다 높습니다.\n", " \n", "$$\n", "E[Y(10) - Y(5) | Seg=B] < E[Y(15) - Y(10) | Seg=A]\n", "$$\n", " \n", "위치에 따라 처치 효과를 구하면 아래 그림과 같습니다." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,4))\n", "sns.lineplot(data=data, x=\"price\", y=\"sales\", hue=\"segment\")\n", "\n", "plt.annotate(\"1\", (8, 5350), bbox=dict(boxstyle=\"round\", fc=\"1\"))\n", "plt.annotate(\"2\", (8, 5000), bbox=dict(boxstyle=\"round\", fc=\"1\"))\n", "plt.annotate(\"3\", (13, 5100), bbox=dict(boxstyle=\"round\", fc=\"1\"))\n", "plt.annotate(\"4\", (13, 4700), bbox=dict(boxstyle=\"round\", fc=\"1\"))\n", "plt.annotate(\"4\", (17, 4800), bbox=dict(boxstyle=\"round\", fc=\"1\"))\n", "plt.annotate(\"5\", (17, 3900), bbox=dict(boxstyle=\"round\", fc=\"1\"))\n", "\n", "plt.title(\"Ordering of the Effect of Increasing Price\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "이진 결과와 마찬가지로 **처치 효과는 결과와 관련 있습니다.** 가격이 낮을수록 절대적인 처치 효과는 작습니다. 이 경우 **처치 효과가 결과 외에도 아니라 처치 수준**과 관련 있어 상황은 더 복잡합니다. 이는 반사실적인 질문에 대한 대답을 어렵게 합니다. 잠시 실험 데이터가 아래와 같이 고객 `A`에 대해서는 높은 가격을 포함해 실험하지만, 고객 `B`에 대해서는 낮은 가격만 실험한다고 해봅시다. 회사는 합리적으로 실험하려 하므로 일반적으로 발생하는 상황입니다." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = pd.DataFrame(dict(\n", " segment= [\"b\", \"b\", \"b\", \"b\", \"a\", \"a\", \"a\", \"a\",],\n", " price=[5, 10, 15, 20, ] * 2,\n", " sales=[5100, 5000, 4500, 3000, 5350, 5300, 5000, 4500]\n", "))\n", "\n", "plt.figure(figsize=(8,4))\n", "sns.lineplot(data=data.loc[lambda d: (d[\"segment\"] == \"a\") | (d[\"price\"] < 12) ], x=\"price\", y=\"sales\", hue=\"segment\")\n", "plt.title(\"Avg. Sales by Price (%) by Customer Segment\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "이제 처치 효과를 구하면 고객 `A`가 고객 `B`보다 가격 상승에 훨씬 탄력적으로 보일 것입니다. 하지만 이는 고객 `B`에 대해 낮은 가격에서만 실험했기 때문입니다.\n", " \n", "처치와 결과에 따라 처치 효과가 달라지면 어떻게 문제를 해결할 수 있을까요? 솔직히 말하면 아직 연구 중인 분야입니다. 현재로서는 **매우 주의**하는 것이 최선입니다. 비교하는 대상의 분포가 같은지 확인해야 합니다. 만약 분포가 다르다면 추정한 처치 효과를 의심해야 합니다. 위 예시에서는 고객 `B`가 가격 인상에 덜 민감해 보이지만 $10$ BRL 이상의 높은 가격도 구매할지는 알 수 없습니다.\n", " \n", "반응 곡선을 선형화하는 방법도 있습니다. 아이디어는 처치와 결과를 변형시켜 곡선을 제거해 선형 관계처럼 만드는 것입니다. 직선은 기울기가 일정하므로 위치에 따라 처치 효과가 달라지는 문제가 없습니다. 가격 변수를 음수로 만들고 $4$제곱하면 어느 정도 선형 관계를 얻을 수 있습니다. 변환된 데이터에서는 가격에 따라 효과가 달라지지 않기 때문에 `A`가 `B`보다 가격 인상에 덜 민감하다는 주장이 더 설득력 있게 들립니다." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,4))\n", "sns.lineplot(data=data.assign(price = lambda d: -1*(-d[\"price\"]**4)),\n", " x=\"price\", y=\"sales\", hue=\"segment\")\n", "plt.title(\"Avg. Sales by -(-price^4)\");" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "변수를 변형하는 접근 방식은 많은 단점이 있습니다. 먼저 곡선을 선형화하는 것은 항상 가능하지 않습니다. 위 그림에서도 선형화는 완벽하지 않습니다. 더 큰 단점은 때때로 곡률을 없애는 방법이 사업적 의미를 퇴색시킬 수 있다는 것입니다. 고객 `A`의 $15$ BRL을 고객 `B`의 $5$ BRL 보다 더 민감하게 취급하는 것은 타당해 보입니다. 따라서 고객 `A`의 가격은 $10$ BRL로 낮추되 고객 `B` 가격은 유지하는 것이 더 좋을 수 있습니다." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Key Concepts\n", " \n", "제가 답할 수 있는 범위를 넘어서는 문제를 많이 가져온 것 같습니다. 하지만 때때로 문제 상황을 아는 것도 중요합니다. 23장 내용을 통해 `outcome`이 비선형일 때 발생하는 문제를 인식하길 바랍니다. \n", " \n", "이진 문제를 연구한 결과에 따르면 `outcome`이 $0.5$에 가까울수록 처치 효과가 커지며, $0$이나 $1$에 가까울수록 처치 효과가 작아지는 경향이 있습니다.\n", "\n", "`outcome`이 연속일 때는 비선형에 의한 상황이 더 복잡해집니다. 우리가 할 수 있는 최선은 문제를 신중하게 다루는 것입니다. 처치 효과에 중점을 둘지, 처치 기준에 중점을 둘지 고려해야 합니다. \n", "\n", "## Reference\n", " \n", "Most of the things written here are from my own experience with this problem. However, I did find one academic articles that touch on this subject: *Causal Classification: Treatment Effect Estimation vs. Outcome Prediction*, by Fernández-Loría and Provost talk about the case where treatment effect is correlated with the outcome variable. \n", " \n", "## Contribute\n", " \n", "Causal Inference for the Brave and True is an open-source material on causal inference, the statistics of science. It uses only free software, based in Python. Its goal is to be accessible monetarily and intellectually.\n", "If you found this book valuable and you want to support it, please go to [Patreon](https://www.patreon.com/causal_inference_for_the_brave_and_true). If you are not ready to contribute financially, you can also help by fixing typos, suggesting edits or giving feedback on passages you didn't understand. Just go to the book's repository and [open an issue](https://github.com/matheusfacure/python-causality-handbook/issues). Finally, if you liked this content, please share it with others who might find it useful and give it a [star on GitHub](https://github.com/matheusfacure/python-causality-handbook/stargazers)." ] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "pytorch", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "vscode": { "interpreter": { "hash": "65b5f243489bd9358788296533fc03025fea49f65e08ef6aa7a40b96c7113e3c" } } }, "nbformat": 4, "nbformat_minor": 4 }