# Questions tagged [definition]

This tag indicates questions about definitions of statistical terms. Use a more general tag [terminology] for questions on statistical parlance that are not specifically about definitions.

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### Definition formule: '∃!α'? [closed]

I'm a rookie with statistics, so I am just very curious about things and very aware of the fact I barely know anything. I was looking around and found '∃!' which means (please, do correct me if I'm ... 1 vote
48 views

### Finding a source for the definition of "clustering accuracy"

In papers about unsupervised clustering I see a lot of references to a metric "clustering accuracy" or "unsupervised clustering accuracy" (ACC) which is usually defined as ...
19 views

### Example of statistical experiment in which the statistical unit is time

Could you give me some examples of statistical experiment/analysis in which the statistical unit is the time? If I conduct a study on the number of people who have attended a bachelor degree over time,...
61 views

### Definition of $\text{“}R^2\text{”}$

I have always taken $\text{“}R^2\text{”}$ to mean the proportion of a sum of squares explained by a model. The context in which this idea is first encountered is when one explains part of the total ...
1 vote
121 views

### Definition of Uncertainity

I have some confusion regarding Measurement Uncertainty. In some books/articles it is defined wrt true value as "Uncertainty in the average of measurements is the range in which true value is ...
52 views

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### Is there a connection between the Kernels in Statistics and Linear Algebra?

According to this question, the etymology of the terms is related, and Kernel is used to mean the "core" of something. In general it seems to refer to an unchanging transformation at the ...
524 views

### What are balanced and orthogonal designed experiments?

I have recently started studying Designed Experiments and have have come across non-rigorous definitions of "balanced" and "orthogonal" experiments and would be interested in ...
1 vote
203 views

### Relationship between blocks, factors and treatments

I have recently began studying a course on Designed Experiments and am having some trouble understanding some of the terminology. I've looked at some other answers on the site and I think that I am ...
14 views

### Meaning of "distributions with the same value" - context of bootstrapping

In Philip Good's "Permutation, Parametric, and Bootstrap Tests of Hypotheses" (https://dl.acm.org/doi/10.5555/1196379), Good writes, on the topic of "Confidence Intervals Based on the ...
219 views

### Is there a difference between out-of-domain and out-of-distribution?

When I research papers on the generalisability of ML models, both terms "Out of Distribution" and "Out of Domain" pop up. Are these essentially the same? In my understanding, yes. ...
188 views

### Can we consider the loadings as a proxy for correlation, in a Principal Component Analysis (PCA)?

In a PCA, the loadings can be understood as the weights for each original variable when calculating the principal component, or "how much each variable influence a principal component". Thus,...
73 views

### Questions regarding power of test and type II error

I´m preparing for a lecture in decision theory and I´m a little bit confused by the notation used by my prof. On the first slide under remark 3.2 point v) its written, that $\beta(\varphi)$ is equal ...
376 views

### What is independent censoring and what are its assumptions?

I'm reading the Introduction to Statistical Learning book. In chapter 11 (Survival Analysis, page 463), the authors state: In general, we need to assume that the censoring mechanism is independent: ...
607 views

### Bounded density function: definition?

What is the correct definition of bounded probability density function: $\sup_{x} f(x)<\infty$. If this is the correct definition of bounded probability density function, can you give the example ...
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235 views

### Define plateau of sigmoid function

I have a sigmoid function ...
1 vote
164 views

### Definition of correlation between events?

I often hear people talk about correlation between events, e.g. event A and event B are positively correlated. However, unlike correlation between random variables (i.e. \$\frac{Cov(X,Y)}{\sigma_X \...
222 views

### A Rigorous Definition of Data Generating Process (DGP)

I am trying to find a rigorous mathematical definition of a data generating process (DGP) under a well-defined probability space. The closest source I have found on Cross Validated is this one, and it ...
1k views

### What does 'Parent Distribution' mean in statistics?

I am studying some articles related to statistics and some of them mention the term 'Parent Distribution'. What does that mean? Is it a distribution model that the authors decide to use as a basis of ...
1 vote
43 views

### What is effect size?

It might be silly question-want to have clarity of this concept.I was wondering if someone can elaborate meaning and examples of effect size in clinical research. How to interpret it accurately? How ...
1 vote
110 views

### Can a consensus be reached on the exact meaning of "Cohen's D" and "Hedge's G"?

This question: Difference between Cohen's d and Hedges' g for effect size metrics shows there are at least two different interpretations each of both Cohen’s D and Hedge’s G, one of them in ...
1 vote