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5 votes
3 answers
133 views

Non-parametric one-sample mean test for a bounded variable (based on Chebyshev's inequality?)

The problem I have $x_1, \ldots , x_n$ i.i.d. draws from r.v. $X$ such that $0 \leq X \leq 1$, but I can't make any other assumptions about the distribution. I want to test the null hypothesis that $E(...
Martin Modrák's user avatar
0 votes
0 answers
65 views

Comparing averages of non normal distributions

I want to compare the daily average revenue of a promotion period (7 days) of a business with the daily average of the rest of the year. So, sample 1 has 7 data points, whereas sample 2 has 300 data ...
andstat's user avatar
3 votes
1 answer
2k views

Can non-parametric data have mean value and standard deviation?

I understand that for non-parametric data, the probability density function (pdf) cannot be obtained using parameters like (mean value) and (standard deviation), and I understand that we use Kernel ...
Amro Goneim's user avatar
2 votes
1 answer
269 views

Problem in finding a non-parametric confidence interval for median and mean using Frank Harrell approach when we have more than two categories

These days I am looking for a good estimation for the mean and median difference confidence interval when I have categorical variables with more than two levels using the Kruskal test, Here Dr. Frank ...
Rani's user avatar
  • 31
1 vote
0 answers
78 views

Nonparametric confidence interval for the mean: Failure to reproduce formula from Zhou & Dinh (2005)

Zhou & Dinh (2005) propose the following formula for a $(1 - \alpha)100\%$ confidence interval for the mean of one sample. The confidence interval is based on a transformation of the $t$-statistic:...
COOLSerdash's user avatar
1 vote
2 answers
4k views

Should I use 'median' instead of 'mean' for nonparametric distributions?

I have a dataset that I determined was nonparametric. If I want to do calculations like '% change', and find the average percentage change, should I really find the median percentage change instead of ...
Amelia's user avatar
  • 31
0 votes
1 answer
129 views

How to find if the means of multiple groups are significantly different when the data is of non-normal distribution: Kruskal-Wallis?

I have dive data from ten shark tags. The tags recorded depth every 10 seconds while at liberty and returned a combined total of >900 k depth records. I would like to see if there is a significant ...
Jo Harris's user avatar
  • 113
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
1 vote
1 answer
216 views

Variance in a T-test using means/medians

I have turning data for animals in different conditions with comparisons of before and after these conditions, we'll say condA condB. Each animal has 3 repeats on both conditions, where before a ...
s33ds's user avatar
  • 127
1 vote
0 answers
36 views

2 sample t test

I was thinking that a simple 2 sample t test is not that simple when dealing with skewed data. Considere 2 samples, each one with diferent skewness and kurtosis, both with a big sample sizes (say n > ...
Nip's user avatar
  • 561
3 votes
1 answer
664 views

How to estimate the confidence interval of the difference of means?

I have two sets of measurements (repeated measurements of two processes, let's call them $X=\{X_i\}_{0...n}$ and $Y=\{Y_i\}_{0...m}$), and I would like to estimate (with confidence interval) the ...
Etienne Membrives's user avatar
1 vote
0 answers
25 views

Can one use parametric regression tests (e.g., Pearson's R2) on summary statistics (that are normal) derived from non-normal data?

Can one use parametric linear regression tests (e.g., Pearson's R2) on summary statistics (e.g., mean and median) that are normal but derived from non-normal data? I am specifically dealing with mean ...
Sid Roy's user avatar
  • 11
0 votes
0 answers
43 views

Coefficient of variation for nonparametric data [duplicate]

Is it appropriate to use the coefficient of variation (CV) for non-parametric data? I'm not sure whether it is appropriate since you use the mean of the data to calculate it together with the SD. ...
cinclus's user avatar
0 votes
0 answers
1k views

Non-parametric mean comparison with 2 unequal samples?

As an spanish speaker, I apologize if my technical english isn't 100% accurate. This may be a simple question, but I haven't found a clear answer. I have two independent groups: Group A: n=1520 / ...
CVillacura's user avatar
1 vote
0 answers
104 views

Can these ordinal variables be aggregated?

I have an ordinal dependent measure that has been taken over 12 time points at the same 180 locations on each occasion. It consists of a 4-point ant density rating that relates to specific numbers of ...
user140750's user avatar

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