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Methods focused on contrasting and combining results from different studies, in the hope of increasing precision and external validity.
-1
votes
2
answers
99
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Why Euclidean norm was used in Z-score combination?
The formula for the Z-score combination is,
$$
Z_w = \frac{\sum_{i=1}^k w_i Z_i}{\sqrt{\sum_{i=1}^k w_i^2}}
$$
Euclidean norm was used as the dividend. Why isn't it absolute-value norm ($\sum |w|$)?
T …
8
votes
2
answers
2k
views
What does Φ mean? [closed]
In the documentation of METAL, a software for meta-analyzing GWAS results, Φ is in the formulas.
Intermediate Statistics $Z_i = \Phi^{−1}(P_i/2) * \textrm{sign}(\Delta_i$) Overall P-value
$P=2\P …
0
votes
Why Euclidean norm was used in Z-score combination?
Got it! I have further looked into the literature, and found that it was first described by F. M. Mosteller, and R. R. Bush in 1954 rather than Liptak, T. (1958). First, we known
$$z = \frac{Δx}{SD}$$ …
3
votes
1
answer
48
views
How to combine p-values of weighted effects?
Suppose I know the effect of running on strength of muscle 1 and 2 and their $p$-values. These values were calculated from the same sample. Now I want to know the effect of running on the strength of …
4
votes
2
answers
257
views
Using sample sizes when combining z-scores
What is the theoretical justification for using the square root of the sample size as the weight when combining z-scores in a meta-analysis?
Is this because the variance of the z-score is proportional …