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2 votes
0 answers
73 views

MCMC fitting of Dirichlet Process or Polya Tree prior to residuals in (simple linear regression)/(2-independent-samples) problem

Consider a simple location-shift semi-parametric model with two mutually-independent samples (in what follows, $F$ is a cumulative distribution function (CDF) on $\mathbb{ R }$, the $C_i$ and $T_j$ ...
David Draper's user avatar
13 votes
2 answers
2k views

How to make predictions with non-parametric regression?

Let's say I have a dataset to which I have estimated a relationship using non-parametric regression, specifically Kernel (obviously in this hypothetical example it's probably overfit slightly). The ...
TheFriendlyAsker's user avatar
2 votes
2 answers
974 views

Bootstrap Standard Errors: should I divide the sampling standard deviation by $\sqrt{n}$?

Suppose I am bootstrapping an OLS regression and want the standard error of the coefficient $\beta_1$. I estimate the following regression on 1000 resamples of the data (where $B$ indexes the ...
lasoon's user avatar
  • 103
0 votes
0 answers
106 views

Nadaraya-Watson regression alternative for binary outcome

I am looking for pointers as to what would be the non-parametric equivalent of Nadaraya-Watson regression when modelling a binary outcome. I have been googling and ended up with Generalized Additive ...
Papayapap's user avatar
  • 363
2 votes
1 answer
760 views

How can I fit a regression for a variable which have a maximum value?

Let's suppose I have a test which gives me the dosage of an analytic in the blood. The results of the assay are in a range of 0 and 1000; all subjects who have a value higher than 1000 will be ...
user89547235's user avatar
0 votes
1 answer
29 views

A question about regressions and estimation

I have the following regression (all variables are vectors, i.e. its multiple-regression with $n$ responses and $m$ covariates) $$Y = a + bX + \epsilon$$ So, $Y$ is $n$-dimensional response; $a$ is $n$...
Marui's user avatar
  • 1
2 votes
1 answer
854 views

KNN as a crude prototype of Gaussian Process Regression?

I've heard it said before that K-Means-Clustering is a prototypical method for Expectation-Maximization algorithm. Where KM Clustering returns a hard cluster assignment, EM returns soft assignments, ...
jbuddy_13's user avatar
  • 3,382
1 vote
0 answers
354 views

Is it OK to use GEE insetad of GLM for non-repeated data?

I analyse data, that are repeated (pre-post), but I work with change from baseline instead. This is a non-randomized experiment, so I was advised to run this kind of analysis bearing in mind the Lord'...
Grunal78200's user avatar
1 vote
0 answers
32 views

What is a reasonable method for two sample test on cut-off measurements?

This is a question regarding biostatistics. I am digging into some statistical analysis with SingleCellSignalR, which is a tool to predict cellular interaction with single-cell RNA-seq data. I was ...
giuseppe0525's user avatar
6 votes
2 answers
296 views

Regression with flexible functional form

I am assuming a model of the form $$Y_i=\alpha+\beta X_i+g(\mathbf{Z}_i)+\epsilon_i,$$ here $\mathbf{Z}_i$ is an $m$ dimensional vector and $\epsilon_i$ is i.i.d. white noise. I would like to ...
fes's user avatar
  • 340
0 votes
0 answers
31 views

Biase of ASE estimation Kernel Regression

I'm trying to calculate the bias of the estimator $p(h)=n^{-1}\displaystyle\sum_{i=1}^{n}(Y_{j}-\hat{m}_{h}(X_{j})^{2}w(X_{j})$ of the averaged squared error. The result I find in the literature is ...
heyou's user avatar
  • 3
1 vote
0 answers
734 views

Alternating Conditional Expectations: Multiple regression transform

Alternating Conditional Expectations (ACE) is a non-parametric algorithm for multiple regression transform selection. It finds a set of transformed response variables that maximizes $R^2$ using ...
Single Malt's user avatar
0 votes
1 answer
113 views

Nonparametric Regression

Suppose I have response y, continuous independent variable x and binary variable z. ...
user149054's user avatar
0 votes
1 answer
76 views

How to understand the language used to describe statistics in the book "The Rise and Decline of Nations"

The tables on pages 102 - 108 are supposed to compare the growth rate and union membership between confederate and non-confederate states since 1965 (I believe it's since 1965 but it's so confusing I ...
Matthew S.'s user avatar
1 vote
1 answer
810 views

How can I predict a continuous outcome variable with 1 binary and 1 ordinal predictor variable nonparametrically?

I have a binary predictor variable (situation1, situation2) and another one that's ordinally scaled (levels in an n-back task, they're called no-back,0-back,1-back & 2-back with 2-back being the ...
Merle's user avatar
  • 11

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