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9 views

What statistical test is most appropriate when my data consist of multiple series, each based on an individual sample?

I'm trying to determine the effect of an interferent $X$ on the measurement of a substance $Y$. Ultimately, I'm looking to predict $Y_{actual}$ within a confidence interval, given $Y_{observed}$ and a ...
0
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0answers
23 views

Which test is suitable in below situation?

I want to calculate the correlation of two continuous variables, unfortunately both of them are not normally distributed. (by using Shapiro-Wilk test) There are two categorical confounding variables ...
0
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0answers
26 views

Maximum of an iid Gumbel Distribution for a Second Choice term (conditional on the first choice)

I am trying to understand the extension of Small and Rosen's (1981) closed form solution for compensating variation, as found in Fan (2013). In Fan's model consumers are choosing to subscribe to ...
0
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0answers
11 views

Combining a neural network classifier with genetic algorithm to do the task likes what generative adversarial network does?

Recently I read some materials about GANs(Generative adversarial network). I know that GANs uses a discriminator network to distinguish the expected output(let's say that it's an image),and a ...
0
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1answer
17 views

Expected value of an AR(1)

Consider the AR(1) model y_t=α+βy_(t-1)+e_t Where the errors are white noise N(0, 1). What is the expected value of y_t.
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0answers
7 views

Correcting for known imputation bias

I have a survey sample which includes income values by type of income for a significant number of high-income households. Some of the income data is measured, i.e. present in the responses of the ...
1
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0answers
11 views

Assigning Weighting Factors

I have a hypothetical example that closes to my research problem: Assume you are a boss and you have different types of tasks that you need to assign to your employee. Sensitive task (very classified)...
-1
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0answers
10 views

sum of a convergence serie [migrated]

I am trying to calculate: $\begin{equation} \sum_{j=0}^{\infty} (\frac{\lambda^j}{j!})(\frac{\lambda^{j+h}}{(j+h)!}) \end{equation}$ And then, I did: $\begin{equation} \sum_{j=0}^{\infty} (\frac{\...
0
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0answers
10 views

Comparing Coefficients of Two Distinct Regression Models

I have a panel dataset with two distinct groups (A and B) of individuals. I want to test the impact of a set of independent variables in vector $X$ on the dependent variable $y_A$ (for group A) and $...
0
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0answers
6 views

What's the best way to store BERT training data (input IDs)

The tricky thing about the input IDs is what they're varying in length for each data sample, so regular hdf5 may not be ideal. Since Bert is so popular I am wondering if there's an established way to ...
0
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0answers
4 views

Demonstrate the internal laws of the circumstance when the inequalities of Sauer's Lemma are strict [on hold]

We proved Sauer’s lemma by proving that for every class H of finite VC-dimension d, and every subset A of the domain, $$ \left|\mathcal{H}_{A}\right| \leq |\{B \subseteq A: \mathcal{H} \text { ...
0
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1answer
19 views

References on frequentist hypothesis testing

I am looking for some references on frequentist hypothesis testing (e.g., t-test, chi-squared test, F-test, A/B testing etc). I have significant experience with probabilistic methods like Bayes rules, ...
0
votes
1answer
27 views

In cluster analysis, is it better to normalize the data or standardize it?

In cluster analysis, is it better to normalize to $[0, 1]$ (i.e., $\frac{x-\min(x)}{\max(x)-\min(x)}$) the data or standardize via z-score (i.e., $\frac{x-\bar{x}}{s_x}$) it? I know normalization ...
0
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0answers
10 views

What is this kind of chart is this (shows flow of components from one group to another)? [duplicate]

I'd like to know the name for the following type of chart. I see it in the context of interactive charts related to fundraising or polling where components are shown to follow from one group to ...
0
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0answers
51 views

Prove $E[f(x)|X]=f(x)$ [on hold]

I know: $E[f(x)|X]$ $=\int f(x)* \frac{f(f(x),x)}{f_x(x)} dx$ $=\int f(f(x),x) dx$ then I am not sure what to do next. If I take the integration of a pdf, then I will get the cdf of $(f(x),x)$ ? ...
1
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0answers
15 views
-1
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0answers
13 views

UMVUE for Binomial Parameter [on hold]

Given T=∑Xi has Binomial distribution with paramters n and p, how do I calculate the UMVUE for p^3? I looked into (UMVUE for Bernoulli). But could not understand what the UMVUE is.
0
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0answers
46 views

should I correct for number of models?

I've built about 8 models, each testing slightly different things but within the scope of the same study. ...
1
vote
0answers
8 views

Using count (instead of proportion) data with cbind() in R… in both dependent and independent variables?

In a study I hypothetically conducted, I have the number of times individuals pressed an "A" button and the number of times they pressed a "B" button. I also recorded the numbers of times they made ...
2
votes
1answer
14 views

Exploring relationships between 88 dichotomous variables?

A little background, The dataset I've been given (to hopefully analyze) where a group of people have coded 288 music videos for the presence or absence of 88 different variables (e.g. band members ...
0
votes
1answer
16 views

Significance of treatment effect when interactions are present

I am conducting an experiment in which I am testing the effect of some treatment, $X$, on some result $Y$. Every subject in both the treatment and control group is being measured multiple times (at ...
0
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0answers
15 views

Average precision biased in object detection when validation set has easy examples

I am computing average precision (AP) for object detection as in Pascal VOC dataset. Sometimes my results were too good to be true and I suspected that I might overlook something. Then I realised that ...
1
vote
2answers
27 views

Linear model selection after bootstrapping without overfitting

I am trying to develop a model between a 19 year record of climate data and a 19 year record of ice-off dates on rivers. The two variables are linearly correlated. The goal is to build a linear model ...
0
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0answers
10 views

Constraining SVD 'U' matrix in MATLAB [on hold]

I am working on a project where I have multiple signals that are composed of an element that is common to all the signals and various other lines. I want to use SVD to find the line common to both. ...
0
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0answers
21 views

Is there a model or algorithm to improve digital drawings?

given a bad drawing, the algorithm should deform the edges of the bad drawing and fill them with color so that it looks more like a learned character. the entry would be a very poorly made drawing of ...
0
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0answers
15 views

Analyse the influence of interior demand and trade on exports

I would like to have a primer on how the current slowdown of the German economy affects its partners, for instance France, Spain and Italy. More specifically, if it goes mainly through Germany's ...
0
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0answers
14 views

Interpreting Pearson vs Spearman correlations

(Disclaimer: I'm a programmer, not a statistician. I'm learning about this stuff in a Data Science course. Consider me technically savvy and statistically clueless.) The data and plots here are part ...
0
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0answers
16 views

Reasoning behind dichotomization of (explanatory) categorical variable for binary logistic regression?

Generally speaking, what would be the idea behind dichotomizing ordinal, categorical variables for binary logistic regression. To be clear, I'm not talking about the dependent variable but only ...
0
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0answers
13 views

Dynamically updating posterior density in R

I want to redefine my function in a loop by calling the function from last iteration. However I know this is basically a recursive way which I don't want. To give an example, see the following ...
0
votes
0answers
18 views

Bayesian hypothesis testing with varying number of parameters [on hold]

Let us consider the following problem. You want to establish whether (1) the outcome of the tossing of a coin is independent from previous tossings AND the probability of getting Heads is p; or ...
0
votes
1answer
29 views

“class_weight” in Random Forest vs. Breiman's Weighted Random Forest [on hold]

I am confused whether the "class_weight" parameter in Python's sklearn's Random Forest Classifier (https://scikit-learn.org/stable/modules/generated/sklearn.ensemble.RandomForestClassifier.html) is ...
0
votes
1answer
17 views

Adding probabilities of different Poisson distributions

There are three different periods of unequal lengths where one specific event is happening such that it follows Poisson distributions (e.g. meteorite falls): in the 1st period (100 hours) the average ...
0
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0answers
10 views

Transformers for non-NLP tasks?

I'm looking into using Transformer model for non-NLP generative tasks. Specifically, Events in a sequence semantically happen at the same time unordered; Events are in high-dimensional vectors that ...
0
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0answers
13 views

What is the covariance of a sum and a double sum? [on hold]

can someone please explain what the covariance of the following is? $$ \text{Cov}\big(\sum_{i}^{m}{X_{ik}},\sum_{k}^{o}\sum_{i}^{m}{X_{ik}}\big) $$ In Wolfram it says $$ \text{Cov}\big(\sum_{i}^{m}...
0
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0answers
31 views

Find $\alpha$ and $\beta$ so that $f_X(x)$ can be a density function

\begin{equation*} f_X(x) = \begin{cases} \frac{4x^2}{5} & \text{ , if } 0 < x \leq 1\\ \alpha(5-2x) & \text{ , if } 1 \leq x < 2\\ \beta x^2 & \text{...
0
votes
1answer
29 views

Expressing a hazard function with a Cox proportional hazards model

I'm trying to wrap my head around Cox models as well as how to express them in the form of hazard functions when you have both categorical AND numeric covariates. I need some assistance with this ...
0
votes
1answer
9 views

Can I complete a Moderation Analysis with transformed data?

I am completing a moderation analysis (model 1) in SPSS with the Hayes PROCESS macro, however I had previously applied a logarithmic transformation to my outcome and moderator variables for them to ...
1
vote
1answer
27 views

Interval width for truncated confidence intervals

I'm conducting a simulation study to compare different methods of constructing CIs for a single proportion. The traditional (Wald/Asymptotic) CI can estimate the upper and lower bounds above 1 and ...
0
votes
0answers
16 views

Gaussian Process Regression - Draw from posterior

I recently came across Gaussian Process Regressions and started exploring it a bit further since it grabbed my attention. In Rasmussen's book Gaussian Process Regressions for Machine Learning I found ...
0
votes
0answers
8 views

Class reversal during model training [on hold]

In my model training of an XGBoost model in spark, I noticed that higher probabilities are labelled as negative class, and lower probabilities are named positive class. This is odd since usually we ...
0
votes
1answer
11 views

Error Propagation of standard devi

I have following problem: I do measurements with technical triplicates and biological dublicates. So I prepare the same sample two times and measure each one three times. This gives me an average ...
0
votes
0answers
6 views

constrained GAM using bspline

I have presence/absence data for an animal as well as associated environmental covariates, temp, salinity, and oxygen. I'm using a GAM to find the relationship of the response over each covariate. I ...
0
votes
0answers
6 views

Reporting F-statistic from Prism

I'm a grad student trying to prep an abstract for a poster submission. I've run the data in Prism (2 factor RMANOVA, treatment x time), but I always struggle with how to properly report my stats. ...
0
votes
0answers
23 views

Interpretation of higher coefficient for group with smaller mean

I am running a fixed effects poisson model with robust standard errors in STATA (xtpqml). The model I run it on has my count data as dependent variable and then as my independent variable I have a ...
-1
votes
0answers
10 views

a sequence of i.i.d random variable property [on hold]

Let $X_1,\dots, X_n$ be i.i.d random variables taking values in $\mathbb R$ with the fact that expectation of $X_1<0$, and variance is finite. Suppose that $\{\eta_n\ge 0\}$ is a sequence such that ...
0
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0answers
16 views

Probability getting lost [on hold]

What is the probability that it is lost in Toronto? In Calgary? In Vancouver?
0
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0answers
24 views

Simulate cointegrated prices and VAR model [on hold]

I am trying to simulate cointegrated stock prices and use a VAR Model to make forecasts. This is the code I wrote so far: ...
2
votes
2answers
54 views

Is appropriate to use empirical Bayes (EB) in this way?

Background. I have data from a study where participants make a series of judgments (a series of decisions with a binomial outcome, either $y=1$ or $y=0$). I have a model of the underlying decision-...
0
votes
0answers
30 views

K-Means Unable to Detect Small Clusters

I am just wondering about this issue brought up by our teacher about a drawback of K-means being unable to detect small clusters. It's homework that we should come up with ideas about why this is so ...
0
votes
0answers
17 views

Orthogonal matrix and inner product [on hold]

Assume that $A$ and $B$ are both orthogonal matrix. The question comes from a proof I read which I attached in the following. $\begin{align}&\arccos(\max\{|\langle Ax,By\rangle| : \|Ax\|=\|By\|=1\...

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