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Questions tagged [parametric]

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19 votes
3 answers
5k views

Why are parametric tests more powerful than non-parametric tests?

I'd like to understand why parametric tests are more powerful than their non-parametric alternatives. Is the word choice of "power" the same as statistical power? As I understand it, power ...
Nate's user avatar
  • 1,653
13 votes
4 answers
958 views

Example of a parametric test with no normality assumptions?

I read an article saying that "all parametric tests make an assumption of normality", which I know to be incorrect, since technically a parametric test could be done for any distribution, ...
Ryan Folks's user avatar
11 votes
2 answers
3k views

When do we have nuisance parameters?

From Wikipedia: a nuisance parameter is any parameter which is not of immediate interest but which must be accounted for in the analysis of those parameters which are of interest. Suppose originally ...
Tim's user avatar
  • 19.6k
3 votes
2 answers
180 views

How to handle assumptions of statistical tests?

Does any definitive work exist, e.g. a review, a book chapter, or a book, on the advantages and disadvantages of existing approaches? Is there a consensus on which approach is the right one? I have ...
rokamama's user avatar
  • 199
3 votes
1 answer
141 views

Are there any parametric machine learnig models that can represent non-linear behaviour between a predictor and a targe variable?

Some basic models, like multiple linear regression (MLR), are parametric but usually limited to linear interactions between X and y. Other models can represent non-linear interactions between X and y, ...
Henrique's user avatar
  • 317
3 votes
1 answer
131 views

If I have a very small n for one group and a very large number of features, should I choose a parametric or a non-parametric test?

I have a dataset that contains human metabolite concetration in a fluid. One group has about 12 samples, while another only has 5. My question is if I can assume normality for this data and do ANOVA/t-...
maglorismyspiritanimal's user avatar
3 votes
1 answer
145 views

How to parameterize covariates in parametric time to event model (lognormal distribution)

I have a parametric time to event model for survival data and I found that a lognormal distribution has the lowest objective function value for a base model. Below is the hazard function for the ...
Erik Hahn's user avatar
2 votes
4 answers
469 views

I want to show by simulation that the Wilcoxon test is more robust than the Student test for non-normally distributed data

I want to test by simulation that the Wilcoxon test is more robust than the Student test for non-normally distributed data. For example, I'm testing the ...
Seydou GORO's user avatar
2 votes
1 answer
421 views

GAM - parametric coefficients - what is mgcViz::pterm() actually plotting?

I built a GAM with two categorical variables and two smooth terms, following this structure: ...
mto23's user avatar
  • 637
2 votes
1 answer
54 views

Are there families of known parametric copulas for non-standard marginal normal distributions?

I know that a family of Gaussian copulas generates a standard bivariate normal distribution if and only if the marginal ones are standard normal. This characterizes the Gaussian copulas, where I have ...
Santiiago98's user avatar
2 votes
1 answer
127 views

Fisher Z transformation still not normal

I have 18 different groups that I need to compare. I used the raw values from a neuroimaging file to represent synchronization between two brain regions (which ranged from 0 to 1) and Fisher Z ...
ishythefishy's user avatar
2 votes
1 answer
741 views

Is Kernel-Regression parametric or non-parametric?

As the title says, is kernel regression a parametric or non-parametric method, and how can this be motivated/explained?
Alexander's user avatar
2 votes
2 answers
478 views

Which test should I use to compare a normal distribution sample with skewed distribution sample?

I have two groups : Infection group (n=26) and healthy control group (n=127). The aim is to see if there is a difference in the mean of T cells absolute count* values between the two groups. Ho= the ...
Mounmoun's user avatar
2 votes
3 answers
479 views

When is a hypothesis test appropriate? [closed]

For example, when would a hypothesis test bed used?
Ljones's user avatar
  • 51
2 votes
0 answers
24 views

Is there a statistical test for five groups with averages ONLY?

The data I collected was measuring plant shoot masses and these were extremely small, so I could only find the total mass of the shoots from 30 plants. Hence, I only have the mean and none of the ...
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