All Questions
Tagged with random-allocation mathematical-statistics
5 questions
1
vote
0
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24
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preference between completely randomized or stratified/paired randomized design under covariate not predicting outcomes?
Consider potential outcome of $i-$th unit $Y_i=(Y_i(0),Y_i(1))$ with $0$ as control and $1$ as treatment and say $X_i$ is the only covariate associated to $i-$th unit. Assume $X_i$ does not predict $...
- 1,465
2
votes
1
answer
272
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Why is it acceptable to use the Sum of Squares of an Interaction as the Sum of Squares Error in a Randomized Complete Block Design?
Take for example the RCB design [Y = I + B + F + E], where...
Y is the response
I is the overall intercept
B is a blocking factor with two levels
F is a treatment factor with two levels
E represents ...
- 403
7
votes
3
answers
192
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Nonrandomized better performance
On the footnote of page 497 in Jaynes' "Probability Theory: The Logic of Science" he writes
Of course, Fisher’s randomized planting methods – which we think to be
not actually wrong, but ...
- 1,646
5
votes
2
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141
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Can a truly randomized procedure (e.g. random treatment allocation) result in unbalanced distributions?
Thousands of randomized trials are ongoing or in the planning. These trials rely on randomization procedures (e.g. patients being randomized to either placebo or active drugs) to yield two balanced ...
- 2,403
4
votes
1
answer
117
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Are these independent: the sample, randomized rule, and random variable having the prior distribution on the parameter space?
In section 1.3 of Bickel and Doksum's Mathematical Statistics 2006,
the risk function of a nonrandomized rule $d$ is the expectation of loss of the rule wrt the random sample.
$$
R(\theta, d) := E_{X\...
- 19.8k