|
|
|
@ -0,0 +1,118 @@
|
|
|
|
|
{
|
|
|
|
|
"cells": [
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 假设检验:\n",
|
|
|
|
|
"<ul>\n",
|
|
|
|
|
" <li>什么是假设:对总体参数(均值,比例等)的具体数值所作的陈述。比如,我认为新的配方的药效要比原来的更好。\n",
|
|
|
|
|
" <li>什么是假设检验:先难总体的参数提出某种假设,然后利用样本的信息判断假设是否成立的过程。比如,上面的假设我是要接受还是拒绝呢\n",
|
|
|
|
|
"</ul>"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 假设校验的应用:\n",
|
|
|
|
|
"<ul>\n",
|
|
|
|
|
" <li>推广新的教育方案后,教学效果是否有所\n",
|
|
|
|
|
" <li>提高醉驾判定为刑事犯罪后是否会使得交通事故减少\n",
|
|
|
|
|
" <li>男生和女生在选文理科时是否存在性别因素影响"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 假设校验的基本思想\n",
|
|
|
|
|
"<img src=\"assets/20201114091803.png\" width=\"70%\">"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"如上图,我们假设总体均值是50,结果计算得到的是20,所以假设μ=50不正确"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 显著性水平\n",
|
|
|
|
|
"<ul>\n",
|
|
|
|
|
"<li>一个概率值,原假设为真时,拒绝原假设的概率,\n",
|
|
|
|
|
"表示为 alpha常用取值为0.01,0.05,0.10。\n",
|
|
|
|
|
"<li>一个公司要来招聘了,实际有200个人准备混一混,\n",
|
|
|
|
|
"但是公司希望只有5%的人是浑水摸鱼进来的,\n",
|
|
|
|
|
"所以可能会有200*0.05=4个人混进来,\n",
|
|
|
|
|
"所谓显著性水a,就是你允许最多有多大比例混水摸鱼的通过你的测试。\n",
|
|
|
|
|
"<li>如上,真实为1,alpha值为0.05的时候,即1-0.05=0.95,也就是得有0.95的可能性才能判定为真,也就是alpha值越小,要求越严格"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 假设检验的步骤\n",
|
|
|
|
|
"<ul>\n",
|
|
|
|
|
" <li>提出假设\n",
|
|
|
|
|
" <li>确定适当的检验统计量。如方差验证、卡方验证等\n",
|
|
|
|
|
" <li>规定显著性水平\n",
|
|
|
|
|
" <li>计算检验统计量的值\n",
|
|
|
|
|
" <li>做出统计决策"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 原假设与备择建设\n",
|
|
|
|
|
"<ul>\n",
|
|
|
|
|
" <li>待检验的假设又叫原假设,也可以叫零假设,表示为HO。(零假设其实就是表示原假设一般都是说没有差异,没有改变。。。)\n",
|
|
|
|
|
" <li>与原假设对比的假设叫做备择假设,表示为H1\n",
|
|
|
|
|
" <li>一般在比较的时候,主要有等于,大于,小于"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "markdown",
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"source": [
|
|
|
|
|
"## 检验统计量计算检验的统计量\n",
|
|
|
|
|
"<ul>\n",
|
|
|
|
|
" <li>计算检验的统计量\n",
|
|
|
|
|
" <li>根据给定的显著性水平,查表得出相应的临界值"
|
|
|
|
|
]
|
|
|
|
|
},
|
|
|
|
|
{
|
|
|
|
|
"cell_type": "code",
|
|
|
|
|
"execution_count": null,
|
|
|
|
|
"metadata": {},
|
|
|
|
|
"outputs": [],
|
|
|
|
|
"source": []
|
|
|
|
|
}
|
|
|
|
|
],
|
|
|
|
|
"metadata": {
|
|
|
|
|
"kernelspec": {
|
|
|
|
|
"display_name": "Python 3",
|
|
|
|
|
"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": "3.7.3"
|
|
|
|
|
}
|
|
|
|
|
},
|
|
|
|
|
"nbformat": 4,
|
|
|
|
|
"nbformat_minor": 2
|
|
|
|
|
}
|