Questions tagged [nonparametric]
Use this tag to ask about the nature of nonparametric or parametric methods, or the difference between the two. Nonparametric methods generally rely on few assumptions about the underlying distributions, whereas parametric methods make assumptions that allow data to be described by a small number of parameters.
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$U$-statistics and their limiting distributions
Let $X_1,X_2, . . . ,X_n$ be i.i.d. observations from a continuous distribution
$F$. Consider the parametric function $\mathbb{P}([\text{min}(X_1,X_2) > X3])$. Find the U-Statistics and its ...
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Relation between gini coefficient/accuracy ratio and roc_auc_score when there are many identical predictions
I have been working on ranking metrics related to various estimators lately, and cam a across a curious phenomenon related to the Gini-coefficient which I would like to understand better.
I will start ...
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Doubt on non-parametric ANCOVA with two groups and pre-post scores and pre scores (baseline) as covariate
I have used a non parametric ANCOVA to analyze scores of a questionnaire (BSCS) with factors: Type of intervention(A and B) and timepoint (pre- and post) as well as baseline (same distribution as pre-)...
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Help selecting an interpretable model to measure the impact of customer journey touchpoints on satisfaction
Context
I'm working on a project where I need to undestand the impact of customer journey touchpoints on satisfaction. My goal is to create an interpretable model rather than a purely predictive one, ...
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What test should I perform given repeated measures of one subject in three time periods?
I have data that represents the measurements of the concentration of PM particles in the air at different times (every hour of every day from 2018 onwards), and I am supposed to test whether the rules ...
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Nonparametric way to perform ANOVA of linear mixed model for small sample and power calculation
I have a small data where there are 3 groups (A,B,C) and 5 participants from each group. All of those participants are measured 6 times on each of 7 different exams, so each participant get 6*7=42 ...
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Does taking the ratio of Empirical Distributions (histogram bins) show their differences?
Background
I have two Empirical distributions, both derived from social media data.
The first represents a broad sample of ~4.8 million posts and the number of followers each post author has. The ...
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Fisher information or Bayesian Uncertainty for non-parametric distributions
This question sounds ridiculous, let me clarify motivation:
Fisher information & Bayesian inference uncertainty seemed very cool to me because they can effectively tell you "how ...
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What test do I use when comparing multiple dependent groups that are non-parametric?
Basically, I am comparing outcomes in a variable that applies to everyone in a field to each subcategory of the group (e.g., average annual pay for all nurses versus annual pay for all of the ...
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Linear model for maximizing rank correlation between observed and predicted response
linear regression is modelled as
$$Y = X\beta + \epsilon$$
for response variable $Y$ (vector), design matrix $X$, and iid Gaussian noise $\epsilon$ (vector).
instead of minimizing the mean squared ...
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Appropriate non-parametric test for repeated measures in two groups
I have two different study groups (A: intervention, B: no intervention/control), each around n~220 patients. Now, every patient has had monthly check-ups for 12 months where blood was drawn, so for ...
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Statistical significance test on 2-sample percentages
In the context of my thesis, i have created a corpus in order to compare the use of "z" vs "s" in specific words like organisation, organised, recognise, authorise etc.
I have ...
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Mixed design experiment: median reduction or linear mixed model?
I collected data from an acoustic localization experiment with a mixed-design, where the factors are populations (one with hearing devices (HA) and one with cochlear implants (CI)), and conditions, ...
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Multiple IVs and DVs with non-normally distributed data
I am performing a research study aiming at answering the research question:
How does job design satisfaction differ between employees working in hybrid and remote work arrangements?
For that I ...
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Are these two estimated regression coefficient asymptotically equivalent? If not, which one is more efficient?
Suppose I have $Y=\beta_1X_1+\beta_2X_1X_2+g(X_2)+u$, where $E(u|X_1,X_2)=0$ and $S=g(X_2)+e$ with $E(e|X_2)=0$. I have a random sample $\{Y_i,X_{1i},X_{2i},S_i\}_{i=1}^n$. Suppose I first use a ...
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