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Design of experiment in multiple regression

Suppose we have the following model of our environment: $\hat{y}_t = e^{dayofweekeffect} * x_{1, t}^{\beta_0} * x_{2, t}^{\beta_1}$ which we can linearize into: $log(\hat{y}_t)= dayofweekeffect + \...
hugh's user avatar
  • 3
1 vote
0 answers
22 views

Causal identification when some ITEs are 0

Say I have some data from an RCT related to a skills training program. The data are such that: Marginally randomized binary treatment z. Those with ...
lex's user avatar
  • 47
4 votes
2 answers
383 views

Using PCA to combine variables in a randomized trial with a baseline and a follow-up measurement

Assume that $2n$ participants have several variables measured at two times points $t_1$ (baseline) and $t_2$ (follow-up). For illustrative purposes, I will use the example of just two variables: the ...
COOLSerdash's user avatar
  • 31.2k
3 votes
1 answer
304 views

Analysing stratified random sample

Let's say I am analysing an experimental design with treatment and control group which was based on random sampling design stratified on a number of covariates. When analysing the data I see two ...
Papayapap's user avatar
  • 363
3 votes
2 answers
233 views

What has to be true of controls (main effects and interactions) for them to be included in experimental analysis?

Consider a simple cross-sectional regression model, $$y = \alpha + \beta \cdot T + \gamma \cdot x + \delta \cdot x \times T + \varepsilon,$$ where $T$ is a binary randomized treatment indicator, and ...
dimitriy's user avatar
  • 38.3k
3 votes
1 answer
145 views

Analysing an RCT with many zeros in outcome

I have a RCT to analyse – my outcome is number of days late (20 days late being the maximum). The majority of people are not late, so there are a lot of zeros in the dataset. I’m expecting that the ...
PV-man's user avatar
  • 33
0 votes
1 answer
141 views

Optimal statistical method in an RCT

stackexchange. I am doing a project, where I have conducted a randomised controlled trial. I test if I can get the same results of an already published paper, but in another setting. In my created ...
john's user avatar
  • 21
2 votes
1 answer
110 views

Creating hypothetical logistic regression models for sequential covariate adaptive randomization

I'm about to run a clinical trial and I would like to allocate participants to the active treatment group versus the control group while avoiding imbalances in baseline chracteristics or prognostic ...
Timo Kvamme's user avatar
1 vote
0 answers
17 views

Creating controlled trials with overlapping uncorrelated conditions

Let's say I have a set of students, and a set of learning materials for an upcoming test. My goal is to run an experiment to see which learning materials are correlated with better scores on the test ...
Matt's user avatar
  • 111
3 votes
2 answers
2k views

Linear regression and causality in a randomized controlled experiment

We know that a linear regression Y on X doesn't imply causation X->Y. It just means that Y is dependant on X in this model. For example, in a general case, I cannot simply run a regression of Test ...
firepod's user avatar
  • 115
6 votes
1 answer
133 views

When is there a point for using regression with controls to analyze experimental data?

Many randomized controlled trials in economics (and probably other sciences as well?) use regressions to analyze data obtained from experiments. In the simplest setup with binary treatment, assuming a ...
sheß's user avatar
  • 267
3 votes
3 answers
740 views

Adjust for covariables even in randomized experiments?

Randomization does not guarantee balance in an experiment. Balance is the prerequisite for causality, so theres a potential for using regression adjustment in randomized experiments. This is somewhat ...
Adam Robinsson's user avatar
5 votes
1 answer
258 views

Analysis of randomized experiments

I have data from an experiment in which participants were randomly assigned to one of two groups and asked a series of opinion questions. One group, the control, was not presented with any additional ...
Pygmalion's user avatar
  • 465