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The study of how to structure an information-gathering exercise where variation is present.

4 votes

Recommended books on experiment design?

I have recently reviewed a large collection of DoE books (17), with the following requirements: Not a cookbook approach but geared towards understanding (hard requirement) Decently in-depth (hard req …
1 vote

Sample Size Calculation considering Gradual Improvements to Treatment Group

Partial Answer: Well, you definitely have a confounding variable: machine performance. Let $M$ be machine performance, $T$ the treatment, and $Y$ the outcome. Then you have a causal diagram as follow …
Adrian Keister's user avatar
1 vote
Accepted

Do confounder variables need to have a causal effect on treatment AND response variables?

Weather certainly affects amount of sweat, and it would be wise to include it in your analysis! A confounding variable is a variable that sets up a backdoor path. Since weather does not set up a backd …
Adrian Keister's user avatar
1 vote
1 answer
181 views

Experimental Design: Choose Data Points to Minimize Quadratic Term Variance in Multiple Regr...

$\newcommand{\eps}{\varepsilon}\newcommand{\szdp}[1]{\!\left(#1\right)} \newcommand{\szdb}[1]{\!\left[#1\right]}$ Problem Statement: Suppose that you wish to fit a model $$Y=\beta_0+\beta_1x+\beta_2x^ …
Adrian Keister's user avatar
0 votes
1 answer
167 views

Unbiased Estimator for Mean Response to Treatment

$\newcommand{\eps}{\varepsilon}\newcommand{\szdp}[1]{\!\left(#1\right)}$ Problem Statement: Consider the following model for the responses measured in a randomized block design containing $b$ blocks a …
Adrian Keister's user avatar
5 votes

What does the phrase "adjusted by" mean?

"Adjusted by" or "conditioned on" is a phrase that can mean many different things, depending on the context. The New Causal Revolution, led by Judea Pearl and Donald Rubin, provides the best context f …
Adrian Keister's user avatar