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Statistics版 - 请教, linear regression model问题
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进入Statistics版参与讨论
1 (共1页)
x*******u
发帖数: 500
1
如果目的是predict, 请问linear regression model是否还需要满足variance
normality和constant variance assumption?
谢谢
n*****1
发帖数: 172
2
strictly speaking, you don't need normal errors. As long as your sample size
is large and the product of Xe
satisfies some CLT conditions, you still get asymptotic normality.
if you have heteroskedasticity and if you do OLS, then your estimated
coefficients are still unbiased, generally
consistent, but it is not efficient. This means, in EXPECTATION, you get the
right coefficient, but if you want a
confidence interval, then your estimated "range" is not correct.

【在 x*******u 的大作中提到】
: 如果目的是predict, 请问linear regression model是否还需要满足variance
: normality和constant variance assumption?
: 谢谢

x*******u
发帖数: 500
3
OK. Since I have large sample size, I do not need normal errors. But if the
plot of residual vs predicted is obvious a megaphone, can I ignore it too?
Thank you. baozi sent.
D*****a
发帖数: 2847
4
You better take care of it.
The SE's will be too small if you use OLS
and the inference can be wrong.

the

【在 x*******u 的大作中提到】
: OK. Since I have large sample size, I do not need normal errors. But if the
: plot of residual vs predicted is obvious a megaphone, can I ignore it too?
: Thank you. baozi sent.

x*******u
发帖数: 500
5
Thank you. baozi sent.

【在 D*****a 的大作中提到】
: You better take care of it.
: The SE's will be too small if you use OLS
: and the inference can be wrong.
:
: the

s*r
发帖数: 2757
6
predict也有point estimation 和confidence interval estimation的问题呀

【在 x*******u 的大作中提到】
: 如果目的是predict, 请问linear regression model是否还需要满足variance
: normality和constant variance assumption?
: 谢谢

1 (共1页)
进入Statistics版参与讨论
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regression problem - go confused如何确定什么情况time series,什么情况linear reg?
一个棘手的问题请教大伙被问到confidence interval的解释了
Linear regression model 问题请教请问multi variate linear regression 选择risk factor 问题
ordinary linear regression assume数据是Normal distribution么?问一个关于linear regression的error假设问题
Is there any correlation between the two data set?请教simultaneous equation system
Linear Regression请教一个简单的统计学问题(补充了一些细节)
相关话题的讨论汇总
话题: regression话题: linear话题: model话题: normality话题: variance