From bb3508921fe507f8f446f9e6ccb0f07480b26cdc Mon Sep 17 00:00:00 2001 From: benjas <909336740@qq.com> Date: Mon, 16 Nov 2020 22:25:46 +0800 Subject: [PATCH] =?UTF-8?q?Add=20T=E6=A3=80=E9=AA=8C=E5=AE=9E=E4=BE=8B?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../假设检验-checkpoint.ipynb | 193 +++++++++++++++++- .../assets/20201116215635.png | Bin 0 -> 127849 bytes .../assets/20201116221815.png | Bin 0 -> 66781 bytes .../假设检验章节/假设检验.ipynb | 113 +++++++++- 4 files changed, 303 insertions(+), 3 deletions(-) create mode 100644 notebook_必备数学基础/假设检验章节/assets/20201116215635.png create mode 100644 notebook_必备数学基础/假设检验章节/assets/20201116221815.png diff --git a/notebook_必备数学基础/假设检验章节/.ipynb_checkpoints/假设检验-checkpoint.ipynb b/notebook_必备数学基础/假设检验章节/.ipynb_checkpoints/假设检验-checkpoint.ipynb index 710d0c3..8520d26 100644 --- a/notebook_必备数学基础/假设检验章节/.ipynb_checkpoints/假设检验-checkpoint.ipynb +++ b/notebook_必备数学基础/假设检验章节/.ipynb_checkpoints/假设检验-checkpoint.ipynb @@ -351,7 +351,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -379,7 +378,6 @@ ] }, { - "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ @@ -429,6 +427,197 @@ "
  • 应用条件,总体标准α未知的小样本资料,且服从正态分布。" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 实例\n", + "以往通过大规模调査已知某地新生儿出生体重为3.30kg。从该地难产儿中随机抽取35名新生儿,平均出生体重为3.42kg,标准差为0.40kg,问该地难产儿出生体重是否与一般新生儿体重不同?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "建立检验假设,确定检验水准\n", + "H0: μ=μ0;H1:μ≠μ0;α=0.05\n", + "
    \n", + "计算检验统计量\n", + "$$\n", + "t = \\frac{\\overline{X} - μ_0}{S_{\\overline{x}}}\n", + "= \\frac{\\overline{X}-μ_0}{S/\\sqrt{n}}\n", + "= \\frac{3.42-3.30}{0.40/\\sqrt{35}}\n", + "= 1.77\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "本例自由度v=n-1=35-1=34,查表得得t0.052/34=2.032。因为t0.05,按α=0.05水准,不拒绝H0,差别无统计学意义,尚不能认为该地难产;\n", + "
    自由度:可以随意变换的个数是多少" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "网上搜索:t分布临界值表\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 配对样本均数t检验\n", + "