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3 votes
0 answers
58 views
+50

Why are these 2 MAGs Markov Equivalent? DAGs, MAGs, and PAGs

On page 1443 of the linked paper, the authors present the following causal DAG (Directed Acyclic Graph) with a latent variable (Profession). On the following page, they present the 2 MAGs below with ...
ColorStatistics's user avatar
2 votes
0 answers
103 views
+150

How to determine if a directed edge is visible? What does visibility tell us?

Both of the above PAGs (Partial Ancestral Graph) are generated using the FCI (Fast Causal Inference) algorithm under identical conditions, the only difference being that the one on the right is ...
ColorStatistics's user avatar
1 vote
0 answers
49 views
+50

Degrees of freedom for biased sample autocorrelation function

I want to find the expression for the a biased estimate of the autocorrelation function for a time series $X$, and am doing this from the biased estimated autocovariance function for lag $k$, divided ...
hydrologist's user avatar
0 votes
0 answers
22 views
+100

Justifying uneven group sizes in an incomplete counterbalanced measures design using a balanced Latin square

I'm working on the statistical analysis of an experiment where we showed 6 videos to a group of people and asked them to rate their effectiveness. In order to handle bias due to the order, we divided ...
Greg Markowsky's user avatar
1 vote
0 answers
17 views
+50

Interpreting Mass-Volume as an evaluation criterion for unsupervised anomaly detection

I have found this paper How to Evaluate the Quality of Unsupervised Anomaly Detection Algorithms? by Nicolas Goix that talks about evaluation of unsupervised anomaly scoring functions by the use of ...
deblue's user avatar
  • 231
2 votes
1 answer
58 views
+50

Power analysis for ANCOVA

I'm interested in conducting power analysis for experiment design and inference using ANCOVA. I see questions A,B,C vary in terms of quality, applicably and answers; whereas I'm interested in an ...
jbuddy_13's user avatar
  • 3,214
2 votes
0 answers
80 views
+50

Can any point process be thinned into a Poisson point process?

Is the following true? For any point process $X$ there exists a procedure $\mathcal{P}$ and a (homogenous) Poisson point process $Y$ with intensity $\lambda > 0$ such that the process of drawing a ...
PtH's user avatar
  • 91
5 votes
1 answer
68 views
+150

Estimate the probability that a crack length exceeds a threshold value after N cycles

The length $a$ of a crack after $N$ fatigue cycles $N$ is $$a(N;C,m) = \left(a_0^{\left(1-\frac m 2\right)}+ C\left(1-\frac m 2\right)B^mN\right)^{\frac{2}{2-m}}$$ where $a_0$ is the initial crack ...
DeltaIV's user avatar
  • 18k
5 votes
1 answer
72 views
+50

Using GAM for hotspot mapping

I’m going to preface this with, I’m no Generalized Additive Model or spatial statistics expert … I know enough to be “dangerous” … maybe that’s a bad thing 😉 Today I had a little bit of a thought ...
Paul Julian's user avatar
2 votes
1 answer
39 views
+50

Is my understanding/approach to nested cross-validation, final model tuning correct?

I am training a SVM on limited training data with unbalanced classes. Here are the things that I want to do: 1.) I want to make a statement of the generalizability ...
curious's user avatar
  • 115
2 votes
0 answers
36 views
+50

Determining an optimal level of aggregation that would minimize prediction error

I am looking for ideas for aggregating prediction outcomes in a way that maximizes the number of classes while minimizing classification error. As a motivating example, say I'm working on a prediction ...
mle_in_paris's user avatar