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Results tagged with experiment-design
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user 291860
The study of how to structure an information-gathering exercise where variation is present.
-1
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1
answer
610
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How do I derive the Sum of Squares sums for an arbitrary ANOVA?
I know it is possible to derive the Sums of Squares sums for a simple one-way CRD ANOVA. It is done by substituting the treatment factors into the total SS equation, then squaring, eliminating terms t …
- 403
0
votes
In a 2-Factor Repeated Measures design, Why do the ANOVA Expected Mean Squares have the valu...
Found out that the textbook I referenced about repeated measures designs typically models the Units as random effects. This is probably why there is a difference between 3-Factor CRD and 2-Factor RM i …
- 403
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0
answers
59
views
How many types of randomization are there? And how they each dealt with in the experiment's ...
I am trying to understand randomization in experiment design, and am very confused, because there appear to be several types of randomization possible.
For example, for a Categorical Factor with Non- …
- 403
1
vote
1
answer
46
views
Including a predictor as both crossed and nested in lmer
I am trying to understand how lme4's mixed modeling works, specifically its random effects design matrix "Z". I have the following R code:
library(lme4)
A = as.factor(c(1,1,1,1,2,2,2,2))
B = as.factor …
- 403
1
vote
0
answers
34
views
Are these the major response variable types?
I am a biologist with an interest in experiment design. I recently refreshed my memory about what kinds of response variables that are possible, and made this chart (see jpeg). I would like feedback w …
- 403
1
vote
1
answer
55
views
In a 2-Factor Repeated Measures design, Why do the ANOVA Expected Mean Squares have the valu...
I am studying experiment design, and I am trying to understand why certain designs have the Expected Mean Squares that they do. Today, I want to ask about a particular design: the 2-Factor Repeated Me …
- 403
1
vote
1
answer
60
views
How does the REML fitting procedure know when a predictor is nested
Consider an experiment with two categorical predictors, A and B, where the levels of B are nested within those of A, and thus described by the following design information:
A
B
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1
1
1
2 …
- 403
2
votes
0
answers
38
views
Converting a Fixed-Effect Model to Mixed-Effect Model
I am studying the relationship between an experiment's predictors and its design matrix. For this particular question, I am curious how I can convert a design matrix developed for a Fixed Effect model …
- 403
2
votes
1
answer
269
views
Why is it acceptable to use the Sum of Squares of an Interaction as the Sum of Squares Error...
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
1
vote
0
answers
44
views
Which field of mathematics should be used to formalize the analysis of a dataset's "geometri... [closed]
I want to know if mathematical formalism can be applied to understand the "geometric" structure of an experiment's data set, and esp. to the relationships between its categorical predictors.
First, d …
- 403
1
vote
0
answers
61
views
How to mathematically prove the "transitive property of nested predictors"?
QUESTION
I am studying the structure of experiment data sets, and I want to propose a rule that I call the "transitive property of nested predictors".
The general idea is that…
if there are three pre …
- 403
2
votes
1
answer
90
views
What is the algorithm to specify a fixed effects design matrix?
I have a procedure for generating the design matrix of an experiment that uses only fixed effect predictors.
The procedure depends on knowing the relationship between all pairs of predictors in the ex …
- 403