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[统计--核心课程] 关于experimental design的困惑

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helenaqa 发表于 2016-5-24 06:50:56 | 显示全部楼层 |阅读模式

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各位统计大神们,请问我们为什么会有各种各样的experimental design呢? 我在学习的过程中一直在问,为什么不单单用regression直接上indicator variable解出来就好了么?.1point3acres缃

为什么会有这个design,那个design,这个block,那个factor,感觉linear model只是把内容复杂化了,还不如regression来的直接呢?

望指教!-google 1point3acres
demonhunter 发表于 2016-5-24 14:38:51 | 显示全部楼层
本帖最后由 demonhunter 于 2016-5-24 14:50 编辑
. from: 1point3acres.com/bbs
Sometimes people are only interested in the factors they want to study however the response is influenced by all factors so they need different design strategies to remove the influence of  these nuisance factors. . 鍥磋鎴戜滑@1point 3 acres
. 1point 3acres 璁哄潧
Sometimes a simple linear regression is not able to fully explain the inner mechanism of your data(for example, to study repeated measurement you need mixed model) .

Performing an experiment and getting data is far more expensive and time consuming than you can expected, so you have to check the collection of designs carefully and adopt one wisely..鐣欏璁哄潧-涓浜-涓夊垎鍦

____________________________ calalia mentioned Randomization. That means your cannot always have a simple CRD design(assigning treatments to the Experiment Units completely randomly), whose model equals to a linear regression with several indicator predictors. Sometimes you just cannot run you Experiment in this completely random way(like assigning treatment to the plants in some algriculture experiment) so you need a more complicated model(like the model for split-plot deisgn) 鏉ユ簮涓浜.涓夊垎鍦拌鍧.

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calalia 发表于 2016-5-24 13:17:21 | 显示全部楼层
为了Random
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 楼主| helenaqa 发表于 2016-5-25 10:54:36 | 显示全部楼层
demonhunter 发表于 2016-5-24 14:38
Sometimes people are only interested in the factors they want to study however the response is influ ...
-google 1point3acres
Thank you demonhunter and thank you calalia!

Thank you for your thoughtful and detailed discussion. I understand that the design of experiment is both an art and science. And once we have the design and the data, we can analyze the results using an appropriate linear model (CRD, BIBD, split-splot, etc), or with a linear regression model. 鏉ユ簮涓浜.涓夊垎鍦拌鍧.

I am still puzzled whether there is a difference in the analysis stage, it appears to me the various linear model designs and linear regression do the same with parameters that differ only by a simple linear transformation.. from: 1point3acres.com/bbs

Is that correct? Or is there more to it than that?

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demonhunter 发表于 2016-5-25 11:25:50 | 显示全部楼层
本帖最后由 demonhunter 于 2016-5-25 11:27 编辑
helenaqa 发表于 2016-5-25 10:54
Thank you demonhunter and thank you calalia!
. 1point3acres.com/bbs
Thank you for your thoughtful and detailed discuss ...

"it appears to me the various linear model designs and linear regression do the same with parameters that differ only by a simple linear transformation."

No, many design linear models estimate parameters in a different way. For example, in mixed model:

y = X\beta + Zu +\epsilon, if you want to estimate u, the Random effect you need to use either ML or REML approach, you have to use more complicated Optimization Algorithm than Ordinary Linear model does.
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