为了确定两组之间的均值是否存在差异，我们使用如下 t 检验。我使用 mtcars 数据集。
df<-mtcars %>% dplyr::select(hp, vs)
t.test(hp~vs, data=df)
Welch Two Sample t-test
data: hp by vs
t = 6.2908, df = 23.561, p-value = 1.82e-06
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
66.06161 130.66854
sample estimates:
mean in group 0 mean in group 1
189.72222 91.35714
我的问题是如果我使用逻辑回归怎么办？p值不同。为了实现相同的目标，如果我使用逻辑回归与 t.test 有什么区别吗？有人可以澄清一下吗？
summary(glm(vs~hp, data=df, family='binomial'))
Call:
glm(formula = vs ~ hp, family = "binomial", data = df)
Deviance Residuals:
Min 1Q Median 3Q Max
-2.12148 -0.20302 -0.01598 0.51173 1.20083
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 8.37802 3.21593 2.605 0.00918 **
hp -0.06856 0.02740 -2.502 0.01234 *
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
(Dispersion parameter for binomial family taken to be 1)
Null deviance: 43.860 on 31 degrees of freedom
Residual deviance: 16.838 on 30 degrees of freedom
AIC: 20.838
Number of Fisher Scoring iterations: 7