Questions tagged [jackknife]

The jackknife is one of several resampling methods (see also bootstrap). In the jackknife, one (or sometimes more) points from the data are deleted in each resample.

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1answer
2k views

Why is the jackknife less computationally intensive than the bootstrap?

It's often claimed that the jackknife is less computationally intensive. How is that the case? My understanding is that the jackknife involves the following steps: Remove 1 data point Estimate the ...
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MSE of the Jackknife Estimator for the Uniform distribution

The Jackknife is a resampling method, a predecessor of the Bootstrap, which is useful for estimating the bias and variance of a statistic. This can also be used to apply a "bias correction" to an ...
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How to average over bootstrap samples of chi square?

I am performing a regression test and I want to see if I am overfitting. When I fit my data $\{y_i | i = 1,2,\ldots\}$ to a model $f(x_i;\vec{\theta})$, I minimize $$ \chi^2 = \big(y_i-f(x_i;\vec{\...
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GEE Std. Error Estimators: Pros and Cons of using jack-knife or bootstrap estimator of std. errors rather than sandwich when clusters$>30$?

What are the Advantages and disadvantages of using jack-knife, bootstrap estimator rather than sandwich (Huber-White) estimator in the context of generalized estimating equations? I heard sandwich ...
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Calculating Mean Min Error and Mean Mean Error (with Confidence) in a Set of Samples using Bootstrap/Jackknife

The question I am trying to solve is this: If I take $n$ random samples from a parameter space, what are the means and confidence intervals of the mean and min error? I want to calculate this for ...
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180 views

How to compute confidence intervals from *weighted* samples?

Imagine we have a webserver, which serves a total of N static URLS. There are users visiting the URLs every day. At the end of each day, we have data like this: ...
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141 views

Deming regression prediction interval using jackknife resampling

I am trying to write a custom Deming function following the maths in Linnet (1993): https://www.ncbi.nlm.nih.gov/pubmed/2281234 Using jackknife resampling I calculate the standard error for the ...
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Can one construct “original” data from a function of jackknifed data?

Say I have original, uncorrelated data, $x_i$, with $i = 1,2 \ldots N$. I can jackknife this data set (a simple delete-one) $$ \bar{x}_{i} = \frac{1}{N-1}\sum_{j \neq i}x_{j} \quad\quad (1) $$ to ...
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68 views

How to estimate the confidence interval of the difference of means?

I have two sets of measurements (repeated measurements of two processes, let's call them $X=\{X_i\}_{0...n}$ and $Y=\{Y_i\}_{0...m}$), and I would like to estimate (with confidence interval) the ...
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How can I calculate $\mu_x/\mu_y$ using Jackknife?

I have difficulties in calculating confidence interval using Jackknife. Suppose that I have two independent samples and I do not know both their population distributions. I understand how to ...
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Why are jackknife pseudovalues treated as independent?

Treating jackknife pseudovalues as IID variables is ubiquitous among the sources I've come across. However, I never see an attempt to justify it beyond citing a "proposal" by Tukey's 1958 paper, which ...
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What kind of data should be used to demonstrate jack-knife usability?

I tried to use jack-knife method to get the estimation of parameters of the model of the time series. The problem is, that if I use the least squares method, the parameters of a model are always the ...
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47 views

jackknife estimator with central limit theorem

Let $\hat{\theta}_n$ be an estimator of the parameter $\theta$ from the sample $\Omega_n$ of $n$ observations, satisfying that $\sqrt{n} (\hat{\theta}_n-\theta) \overset{d}{\longrightarrow} \mathcal{N}...
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740 views

What's the point of reporting bootstrap bias?

Suppose the data $X = (X_1,X_2,\cdots,X_n)$ is a vector of iid observations $X_i$ where each $X_i$ has marginal distribution $F(\theta)$. Suppose we observe $x = (x_1,\cdots,x_n)$ and $\hat \theta = \...
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568 views

testing for differences using jackknife distributions

I have two distributions relative to two experimental conditions. I compute a certain index (i.e. coherence) describing each distribution. I want to see if there is a significant difference ...
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jackknife replicate weights for survey data

I am confused about utilizing the jackknife replicate weights for computing the variance. From the second equation on page 192 of STATA's documentation (http://www.stata.com/manuals13/svy.pdf), the ...
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2answers
489 views

Estimating the total with jackknife

At a homework assignment, we are supposed to estimate the total in a population using a Horvitz Thompson estimator, and then estimate the variance using the jackknife technique. As a first step, I ...
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140 views

Jackknife and matrix diagonalization

Suppose I have $M$ matrices $n\times n$ of the form: \begin{equation} C^{k} = \begin{bmatrix} x^{k}_{11} & x^{k}_{12} & x^{k}_{13} & \dots & x^{k}_{1n} \\ x^{k}_{21} ...
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What is a good introductory text on resampling methods?

I have found a few decent ones about specific resampling applications such as bootstrapped confidence intervals, but nothing broader. A journal article or book chapter would be preferable to an entire ...
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775 views

Why does the jackknife-after-bootstrap estimation of variance give an overestimate?

The jackknife-after-bootstrap method is used to find the an error estimate (for example variance) to a bootstrap estimate. A typical setting is: (1) From a sample of a population, find an estimate $\...
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Comparison of the jacknife vs the bootstrap

I am interested in understanding the relative pros and cons of bootstrap versus jacknife resampling. Both are used in iterative algorithmic approaches to estimating the precision of a prediction or ...
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1answer
193 views

Tests for comparing correlation values. The winner is?

The question is relatively simple, but trivial. I have data divided by one fixed effect (Emotion, with 2 conditions: A and B), and I have a covariate, for each of my 20 subjects. My aim is to 1) ...
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235 views

How can bootstrap be used to establish confidence intervals for Theil regression parameters?

In References for methods for calculating the confidence interval for Theil-Sen Estimator, we note that Wilcox (1998, 2009?) proposed the use of bootstrap as a method for finding confidence intervals ...
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429 views

Is the Jackknife estimation better than Maximum Likelihood Estimator?

I'm trying to estimate distribution parameters with Maximum Likelihood Estimator (MLE) and Jackknife estimator based on it. The estimation statistic is mean. Jackknife estimator is considered to be ...
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2answers
749 views

Statistical analysis of random variable with finite mean and infinite variance

Given a measurement that (we know from theory) has a finite expected value, but infinite variance, is it possible to have some statistical information? Can I get the significance of such data? Can ...
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278 views

What sample size is necessary to jackknife estimate variance of large dataset?

So I'm working on a project and I wrote a java library that I can use to perform feature ranking and Naive Bayes classification on data sets. I wrote and tested the library on small data sets so I ...
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351 views

Resampling to subset (jackknife) or bootstrap for survival analysis

This is a question regarding survival analysis and bootstrap: Suppose I have a time-to-event dataset with 1000 subjects, and based on this dataset I can obtain some measures or plots (not standard, o....
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686 views

Why is backward elimination justified when doing multiple regression?

Does it not result in over-fitting? Would my results be more reliable if I added a jack-knife or bootstrap procedure as a part of the analysis?
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8k views

Jackknife vs. LOOCV

Is there really any difference between the jackknife and leave one out cross validation? The procedure seems identical am I missing something?
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jackknifing blocks (*not* time series)

I have the following problem. There are 50 subjects. Each subject does a block of 100 trials. At the end I want to compute a complicated statistic s() on the data x. Now I want to be able to compute ...
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2answers
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How to program the deleted d-jack-knife

I have a dataset containing 45 observations. I want to sample times from this dataset, but with sample size equal to 35 each time. So each time I want to delete 10 datapoints from the original dataset....
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Are there any contemporary uses of jackknifing?

The question: Bootstrapping is superior to jackknifing; however, I am wondering if there are instances where jackknifing is the only or at least a viable option for characterizing uncertainty from ...
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Bootstrap Confidence Intervals for Weir & Cockerham's Fst

I'm working on calculating bootstrap confidence intervals for Weir & Cokerham's Fst. I want to use the percentile-t method as described in this paper. I'm calculating the $F_{st}$ value between ...
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Resampling / simulation methods: monte carlo, bootstrapping, jackknifing, cross-validation, randomization tests, and permutation tests

I am trying to understand difference between different resampling methods (Monte Carlo simulation, parametric bootstrapping, non-parametric bootstrapping, jackknifing, cross-validation, randomization ...
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499 views

Analysis of a complex sample with replicate weights: error when using survey package

I have a data base from a stratified multi-stage survey. Due to confidentiality reasons, they do not gave me the strata neither the psu, ssu… variables. Instead they gave me the: “Final weights” ...
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1answer
575 views

The Bayesian approach to computing estimator bias and variance

From what I understand, jackknife and bootstrapping are frequentist methods for computing statistics (bias, variance, etc.) of an estimator. Given a sample of my data and an estimator, and assuming ...
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529 views

Comparing Gini coefficients: Variance estimation etc. needed?

In a project on software measurement, we plan to use aggregating statistics (e.g., Gini) to describe the concentration of certain observed program attributes (size) among program units (e.g., modules, ...
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How to derive jackknife bias for variance and mean

I am having a hard time to understand how one derives the jackknife bias for the variance and mean. 1) Why do we need an inflation factor of $(n-1)$ when calculating the jackknife bias of the mean? ...
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838 views

Bootstrap or jack-knife for crossvalidation of predictive model?

Is a bootstrap or jack-knife method better for crossvalidation of a multivariate logistic regression based predictive model?
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305 views

Can we use cross-validation to measure how well a distribution fits sample data?

Let's say I have a data set $X = [1,2,3,4,5]$. And I want to measure how close it is to a Gaussian distribution. Is there a way to use cross-validation to do this? For example, if I do leave-one-...
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1answer
926 views

Details regarding the delete-a-group jackknife

I was reading a paper by Phillip S. Kott on DAGJK: The delete-a-group jackknife. Journal of Official Statistics, 17 (4):521-526. (full text is freely available) I don't have much of a survey/...
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Bootstrap vs. jackknife

Both bootstrap and jackknife methods can be used to estimate bias and standard error of an estimate and mechanisms of both resampling methods are not huge different: sampling with replacement vs. ...