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2 votes
0 answers
38 views

Is there a parametric trend test with provable power?

I have $N$ samples $x_1,\dots,x_N$ and I want to test following hypotheses. The null hypothesis is that $x_1,\dots,x_N$ i.i.d. sample from a normal poplulation $N(\mu_1,\sigma^2)$, with unknown mean $\...
Ruiyuan Huang's user avatar
2 votes
0 answers
57 views

How can I implement this bivariate sign test in R?

Suppose $(X_1,Y_1),(X_2,Y_2),\ldots,(X_n,Y_n)$ are i.i.d with a common continuous bivariate distribution function $F$. I wish to test $H_0:(\mu_1,\mu_2)=(0,0)$ against $H_1: (\mu_1,\mu_2)\ne (0,0)$, ...
StubbornAtom's user avatar
  • 11.5k
9 votes
1 answer
12k views

How is pairwise PERMANOVA/adonis a valid non-parametric approach for pairwise comparisons

Assume that we have taken independent random samples of several individuals from 5 locations that represent 5 populations. The design is fairly unbalanced: the number of individuals sampled from each ...
Ryan's user avatar
  • 351
3 votes
1 answer
2k views

Test to show one distribution is bigger than another

Here is a MWE of my problem: I measure the size, $S$, of 10 red apples and 32 green apples. $\bar S_\mathrm{red} = 8 \pm 1\,\mathrm{cm}$ and $\bar S_\mathrm{green} = 4 \pm 2\,\mathrm{cm}$. I want ...
Sean Mooney's user avatar
0 votes
0 answers
15 views

Comparing effect of two variables

I have two IV’s (A) and (B) and a DV (X). The hypothesis is: (A) has a higher propensity to result in (X) than (B). X is Dichotomous. A and B are single 5-point Likert-scale questions. I’m ...
Hal9001's user avatar
2 votes
1 answer
297 views

What does the symmetry requirement for the Conover rank squared tests entail?

What does the symmetry requirement for the Conover rank squared tests entail? In that link it is stated that the Conover test assumes the data is symmetric about a common median. Is this symmetry of ...
Carl's user avatar
  • 13.2k