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Tags
list
11362
2
null
11359
4
null
Taking the square root is sometimes advocated to make a non-normal variable appear like a normal variable in regression problems. The logarithm is another common possible transformation.
null
CC BY-SA 3.0
null
2011-05-30T09:58:02.853
2011-05-30T09:58:02.853
null
null
3019
null
11363
2
null
11359
10
null
The square-root transformation is just a special case of Box-Cox power transformation (a nice overview by Pengfi Li, could be useful reading and is found [here](http://www.stat.uconn.edu/~studentjournal/index_files/pengfi_s05.pdf)), with $\lambda = 0.5$ and omitting some centering. > The aim of the Box-Cox transforma...
null
CC BY-SA 3.0
null
2011-05-30T10:42:59.890
2011-05-30T10:54:55.480
2011-05-30T10:54:55.480
2645
2645
null
11365
2
null
6656
1
null
The "expected entropy" at a particular time step given a particular starting point is a well-defined quantity and you could certainly study it. There is no particular reason why you should favor the "median" entropy without knowing anything else about the system. You should do experiments with as diverse of a set of ...
null
CC BY-SA 3.0
null
2011-05-30T13:29:35.353
2011-05-30T13:29:35.353
null
null
3567
null
11366
2
null
11359
5
null
When the variable follows a Poisson distribution, the results of the square root transform will be much closer to Gaussian.
null
CC BY-SA 3.0
null
2011-05-30T14:00:01.927
2011-05-30T14:00:01.927
null
null
25
null
11368
1
14756
null
27
6778
Suppose I have the following model $$y_i=f(x_i,\theta)+\varepsilon_i$$ where $y_i\in \mathbb{R}^K$ , $x_i$ is a vector of explanatory variables, $\theta$ is the parameters of non-linear function $f$ and $\varepsilon_i\sim N(0,\Sigma)$, where $\Sigma$ naturally is $K\times K$ matrix. The goal is the usual to estimate...
How to ensure properties of covariance matrix when fitting multivariate normal model using maximum likelihood?
CC BY-SA 3.0
null
2011-05-30T14:18:25.663
2017-09-12T14:34:31.000
2011-05-31T06:30:58.367
2116
2116
[ "maximum-likelihood", "optimization", "covariance" ]
11370
1
11371
null
2
630
I have data from an experiment that is testing how the order of two studying methods (visual or auditory) affects word recall. For analysis a multi-factor anova with a repeated measure is appropriate, but I am not sure if I am structuring my data correctly. This is the command I'm using: `aov(recalled_items~task*order...
Testing a 2 by 2 mixed ANOVA in R
CC BY-SA 3.0
0
2011-05-30T14:36:08.930
2011-06-02T15:46:52.483
2011-05-30T15:11:25.247
307
4804
[ "r", "anova", "dataset" ]
11371
2
null
11370
6
null
Your method won't work because it's going to treat order within. Try this... ``` Subject Task Order Recalled Items A Visual vFirst 13 A Auditory vFirst 22 D Visual aFirst 14 D Auditory aFirst 28 ``` Or something like that.
null
CC BY-SA 3.0
null
2011-05-30T15:12:41.203
2011-05-30T15:12:41.203
null
null
601
null
11372
1
null
null
10
7661
I have to run a factor analysis on a dataset made up of dichotomous variables (0=yes, 1= no) and I don´t know if I'm on the right track. Using `tetrachoric()` I create a correlation matrix, on which I run `fa(data,factors=1)`. The result is quite near to the results i receive when using [MixFactor](https://typo3.univi...
Recommended procedure for factor analysis on dichotomous data with R
CC BY-SA 3.0
null
2011-05-30T15:49:10.737
2021-03-24T12:47:04.527
2012-03-20T21:45:41.057
930
4805
[ "r", "factor-analysis", "psychometrics", "binary-data" ]
11373
2
null
11359
18
null
In general, parametric regression / GLM assume that the relationship between the $Y$ variable and each $X$ variable is linear, that the residuals once you've fitted the model follow a normal distribution and that the size of the residuals stays about the same all the way along your fitted line(s). When your data don't...
null
CC BY-SA 3.0
null
2011-05-30T16:01:00.770
2011-05-30T19:20:54.643
2011-05-30T19:20:54.643
2116
266
null
11374
1
11379
null
3
949
I'm a statistics newbie and I would like to make sense of the p-value with ANOVA, hopefully with a visual presentation. All online visual tools I've found so far only have MSB, MSE and F values visually presented (such as [this here](http://www.psych.utah.edu/aoce/tools/Anova/anovatool.html). I'm a very visual person a...
Visual representations of the p-value in ANOVA to assist intuitive understanding
CC BY-SA 3.0
null
2011-05-30T16:12:20.290
2013-09-02T09:14:18.117
2013-09-02T09:14:18.117
27581
4806
[ "hypothesis-testing", "anova", "data-visualization" ]
11375
1
null
null
2
1366
I have a question for adjusted $R^2$ given a specific regression model. I am doing a project on January effect and I have a model from some journal using $$R_i = a_0 + a_1D_{\mathrm{Jan}} + \varepsilon_i$$ where - $R_i$ is daily return of portfolio/index, - $a_0$ is non-January daily returns, - $a_1$ is January...
Why is a regression model of portfolio return giving smaller adjusted R-square (i.e., negative) than expected?
CC BY-SA 3.0
null
2011-05-30T17:50:09.890
2013-01-09T19:37:39.950
2013-01-09T17:45:22.463
17230
4808
[ "regression", "self-study", "spss", "model-selection", "r-squared" ]
11377
2
null
11375
5
null
You've included an interaction term without including both of the main effects that are the components of that interaction. According to standard practice, you need a term for January returns. Exceptions to this rule are rare though they have been discussed on this site recently at [Including the interaction but not ...
null
CC BY-SA 3.0
null
2011-05-30T21:17:59.833
2013-01-09T19:37:39.950
2017-04-13T12:44:21.613
-1
2669
null
11378
1
null
null
4
574
I am attempting to perform a two-group confirmatory factor analysis (CFA) of one continuous factor on six ordinal predictors in `OpenMx` (`R`) using (robust) Weighted Least Squares (WLS) estimation. While I am completely new to OpenMx (I only used `sem` and `lavaan` ) I think I have most things now: I have a way of est...
How to compute the weight matrix for WLS estimation of a multi-group ordinal CFA model
CC BY-SA 3.0
null
2011-05-30T21:43:35.950
2011-05-30T21:56:35.773
2011-05-30T21:56:35.773
3094
3094
[ "r", "factor-analysis", "computational-statistics" ]
11379
2
null
11374
3
null
Here is a toy example for simulating a one-way ANOVA in R. First, I just defined a general function that expect an effect size (`es`), which is simply the ratio MSB/MSW (between/within mean squares), a value for the MSB, the number of groups, which might or not be of equal sizes: ``` sim.exp <- function(es=0.25, msb=10...
null
CC BY-SA 3.0
null
2011-05-30T21:56:25.460
2011-05-30T21:56:25.460
null
null
930
null
11381
1
11382
null
10
7193
I've calculated the proportion of chicks fledged out of the number of eggs hatched in each year using `prop.test()` in R. I see that it gives me the proportion fledged, but also the 95% confidence interval, which is what I'm after. Having read the excellent information from another question on this site [here](https:/...
How to report asymmetrical confidence intervals of a proportion?
CC BY-SA 3.0
null
2011-05-31T00:43:26.973
2011-10-06T00:52:53.107
2017-04-13T12:44:33.310
-1
4238
[ "r", "confidence-interval", "binomial-distribution" ]
11382
2
null
11381
9
null
You should report the lower and upper intervals and also the method used to calculate the interval. It turns out that there is no 'right' way to calculate confidence intervals for proportions, but instead many competing methods, each with advantages and disadvantages. The lack of a universally correct method stands in...
null
CC BY-SA 3.0
null
2011-05-31T01:18:08.367
2011-05-31T01:18:08.367
null
null
1679
null
11383
2
null
11374
2
null
There could possibly be a good reason why the MSB, MSE, and F values are only shown. These are what is "actually important" in the analysis so to speak. A p-value is just a sampling probability of some function of these three quantities (not sure of the specific function). You don't need a p-value if you understand h...
null
CC BY-SA 3.0
null
2011-05-31T03:53:48.550
2011-05-31T03:53:48.550
null
null
2392
null
11384
1
11404
null
13
2952
I want to apply a PCA on a dataset, which consists of mixed type variables (continuous and binary). To illustrate the procedure, I paste a minimal reproducible example in R below. ``` # Generate synthetic dataset set.seed(12345) n <- 100 x1 <- rnorm(n) x2 <- runif(n, -2, 2) x3 <- x1 + x2 + rnorm(n) x4 <- rbinom(n, 1, 0...
PCA and component scores based on a mix of continuous and binary variables
CC BY-SA 3.0
null
2011-05-31T07:02:42.717
2011-05-31T18:12:02.890
2011-05-31T07:45:14.223
183
609
[ "r", "pca" ]
11385
1
11386
null
8
20310
I am trying to test whether my regression has an issue of heteroscedasticity. After running a regression, I can clearly see that the residual plot has a pattern. After taking a log of the dependent variable the pattern is much, much reduced. The White's test on the original formula returns a p-value of 0.0004 before th...
Linear regression, heteroscedasticity, White's test interpretation?
CC BY-SA 3.0
null
2011-05-31T07:05:36.300
2015-02-15T18:51:15.097
2011-10-17T09:25:39.843
2116
4814
[ "regression", "econometrics", "heteroscedasticity" ]
11386
2
null
11385
6
null
The [original White paper](http://www.jstor.org/stable/1912934) where the test statistic was proposed is an enlightening read. This excerpt I think is of interest here: > ...the null hypothesis maintains not only that the errors are homoskedastic, but also that they are independent of the regressors, and that ...
null
CC BY-SA 3.0
null
2011-05-31T07:26:43.670
2011-05-31T07:26:43.670
null
null
2116
null
11387
1
null
null
3
344
Let's say i have sequences of symbols which can have five values : A, B, C, X, Y. The average length of sequences is around 7. It is important that the symbols A, B, C have a bigger importance than X and Y which may be consider as 'whatever different from A, B or C' I need to classify those data among two classes : pos...
Classification of sequences of symbols
CC BY-SA 3.0
null
2011-05-31T08:55:38.270
2011-05-31T15:16:16.697
2011-05-31T09:10:44.403
2116
2505
[ "classification" ]
11388
2
null
11387
2
null
I would not use any feature detectors but recurrent neural networks. They are very good for symbolic sequences: for example, they are able to recognize context sensitive languages. Check out [Biologically Phoneme Classification with LSTM neural nets (Graves, Schmidhuber)](http://citeseerx.ist.psu.edu/viewdoc/download?d...
null
CC BY-SA 3.0
null
2011-05-31T09:06:53.763
2011-05-31T09:06:53.763
null
null
2860
null
11389
1
null
null
8
664
I am working on a new webpage for my part-time job as a methodological/statistical consultant for (psychology) students at my university. On this website I would like to place several links to online recourses for clients to consult themselves. So I am looking for links to websites that offer a lot of statistical infor...
Internet statistics resources suitable for psychology students doing research
CC BY-SA 3.0
null
2011-05-31T10:13:58.237
2011-05-31T14:22:50.303
2011-05-31T12:11:46.573
183
3094
[ "spss", "psychology", "internet" ]
11390
2
null
11387
0
null
Can we do it programitically ?? Meaning that writing a peace of code that does that you saying ..ex giving "A x X B Y c" more importance than "B X X X A C". agree that this code should be bit complex though.?
null
CC BY-SA 3.0
null
2011-05-31T10:36:03.260
2011-05-31T10:36:03.260
null
null
1763
null
11391
2
null
11389
4
null
Copy N' Paste from my Google Reader: [http://jeromyanglim.blogspot.com/](http://jeromyanglim.blogspot.com/)
null
CC BY-SA 3.0
null
2011-05-31T10:44:46.417
2011-05-31T10:44:46.417
null
null
609
null
11392
2
null
11389
2
null
The [UCLA](http://www.ats.ucla.edu/stat/) server has a lot of ressources for statistical computing, including annotated output from various statistical packages.
null
CC BY-SA 3.0
null
2011-05-31T11:05:52.783
2011-05-31T11:05:52.783
null
null
930
null
11393
2
null
11389
3
null
- There's a correct answer here! http://faculty.chass.ncsu.edu/garson/PA765/statnote.htm - Also good: http://statcomp.ats.ucla.edu/ http://dss.princeton.edu/online_help/ http://www.psych.cornell.edu/darlington/ I know you didn't ask, probably because you know, the answer, but absolutely best statistics tests (fo...
null
CC BY-SA 3.0
null
2011-05-31T11:07:04.313
2011-05-31T11:29:37.487
2011-05-31T11:29:37.487
183
11954
null
11394
2
null
11389
10
null
In general, encouraging research students to use Google and sites like [Cross Validated](https://stats.stackexchange.com/) to ask and answer their own questions is important. ### Specific Sites - Andy Field is famous for making statistics more palatable for psychology students. He provides many online resources gen...
null
CC BY-SA 3.0
null
2011-05-31T11:07:15.030
2011-05-31T14:22:50.303
2017-04-13T12:44:52.660
-1
183
null
11396
1
11403
null
1
2342
I'm trying to implement logNormal distribution into my java program because lognormal dist doesn't exist into apache commons math library. I have no problem to re-write density and cumulative probability function, extending abstract classes of apache commons math library, like this : ``` public double cumulativeProba...
Upper/lower bound and initial domain for lognormal distribution
CC BY-SA 3.0
null
2011-05-31T12:55:39.020
2011-05-31T16:08:04.300
null
null
4693
[ "distributions", "lognormal-distribution", "bounds" ]
11397
2
null
11353
2
null
I would strongly recommend you use some form of [regularization](http://en.wikipedia.org/wiki/Regularization_%28mathematics%29). The package '[glmnet](http://cran.r-project.org/web/packages/glmnet/index.html)' in R is very good and will do variable selection and regularization for the linear model using the [elastic n...
null
CC BY-SA 3.0
null
2011-05-31T13:35:40.367
2011-05-31T13:35:40.367
null
null
2817
null
11398
1
11401
null
5
120
In case you want to compare the average income of a group of male employees against the average income of a group of female employees, the observations are clearly independent. Now, I have a network of a certain number of nodes. These nodes are linked by edges and I can characterize each node by the number of links it ...
Should the group decisions be independent in Wilcoxon rank sum test?
CC BY-SA 3.0
null
2011-05-31T15:02:15.027
2017-04-03T15:48:56.920
2017-04-03T15:48:56.920
101426
4819
[ "nonparametric", "independence", "wilcoxon-mann-whitney-test" ]
11399
2
null
11387
2
null
It sounds like this question is asking for a way to quantify the sense of "generally well aligned" strings. Of course there are many ways to do this, but the examples and the description suggest that any solution meet two criteria: ``` 1. The X's and Y's should play no role in the result. 2. The strings in which th...
null
CC BY-SA 3.0
null
2011-05-31T15:05:15.183
2011-05-31T15:05:15.183
null
null
919
null
11400
2
null
11387
2
null
Kernel methods (such as the support vector machine) are likely to be quite good for this kind of problem as you can use kernel functions that operate directly on strings of symbols of variable length. Examples include the [spectrum kernel](http://psb.stanford.edu/psb-online/proceedings/psb02/leslie.pdf) (which project...
null
CC BY-SA 3.0
null
2011-05-31T15:16:16.697
2011-05-31T15:16:16.697
null
null
887
null
11401
2
null
11398
5
null
Regardless of the graph's coloring, associated with each of its nodes is a pair $(k, k_{nn})$. You have used these pairs to classify the nodes into two groups. The coloring separately classifies the nodes by color. This is the situation of a $c$ by $2$ contingency table with fixed margins. To assess whether color i...
null
CC BY-SA 3.0
null
2011-05-31T15:20:53.820
2011-05-31T15:20:53.820
null
null
919
null
11402
1
11409
null
17
6718
My nonparametric text, [Practical Nonparametric Statistics](http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471160687.html), often gives clean formulas for expectations, variances, test statistics, and the like, but includes the caveat that this only works if we ignore ties. When calculating the Mann-Whitney U Stat...
Why are ties so difficult in nonparametric statistics?
CC BY-SA 3.0
null
2011-05-31T15:59:34.210
2019-06-29T08:07:17.043
2020-06-11T14:32:37.003
-1
1118
[ "nonparametric", "ties" ]
11403
2
null
11396
3
null
The support for the log normal distribution is the open interval from 0 to infinity. This should give you enough information to implement all methods that have 'Bound' in their name. I understand that the methods with 'Domain' in their name are used to provide bounds and estimates for the inverse CDF that are easy to c...
null
CC BY-SA 3.0
null
2011-05-31T16:08:04.300
2011-05-31T16:08:04.300
null
null
2898
null
11404
2
null
11384
9
null
I think Insanodag is right. I quote Jollife's Principal Component Analysis: > When PCA is used as a descriptive technique, there is no reason for the variables in the analysis to be of any particular type. [...] the basic objective of PCA - to summarize most of the 'variation' that is present in the origin...
null
CC BY-SA 3.0
null
2011-05-31T17:39:23.990
2011-05-31T18:12:02.890
2011-05-31T18:12:02.890
2902
2902
null
11405
1
13407
null
10
8149
Does anybody know where to find good application and examples (besides the manual and the book applied econometrics with R) using the tobit model with the packages AER? ### Edit I'm searching for a command to compute the marginal effects for y (not for the latent variable y*). It seems to be $\phi(x\beta/\sigma)\bet...
Tobit model with R
CC BY-SA 3.0
null
2011-05-31T17:49:46.537
2015-03-14T17:58:47.667
2020-06-11T14:32:37.003
-1
4496
[ "r", "tobit-regression" ]
11406
1
11407
null
13
197579
I am very new to R and to any packages in R. I looked at the ggplot2 documentation but could not find this. I want a box plot of variable `boxthis` with respect to two factors `f1` and `f2`. That is suppose both `f1` and `f2` are factor variables and each of them takes two values and `boxthis` is a continuous variable....
Boxplot with respect to two factors using ggplot2 in R
CC BY-SA 3.0
null
2011-05-31T18:53:09.813
2015-12-19T01:59:43.137
2011-06-01T03:44:48.610
919
4820
[ "r", "boxplot", "ggplot2" ]
11407
2
null
11406
23
null
I can think of two ways to accomplish this: 1. Create all combinations of `f1` and `f2` outside of the `ggplot`-function ``` library(ggplot2) df <- data.frame(f1=factor(rbinom(100, 1, 0.45), label=c("m","w")), f2=factor(rbinom(100, 1, 0.45), label=c("young","old")), boxthis=rnorm(10...
null
CC BY-SA 3.0
null
2011-05-31T19:23:14.877
2011-05-31T19:23:14.877
null
null
307
null
11408
2
null
396
3
null
Don't use dynamite plots: [http://pablomarin-garcia.blogspot.com/2010/02/why-dynamite-plots-are-bad.html](http://pablomarin-garcia.blogspot.com/2010/02/why-dynamite-plots-are-bad.html), use violin plots or similar (boxplots family)
null
CC BY-SA 3.0
null
2011-05-31T19:35:02.157
2011-05-31T19:57:14.673
2011-05-31T19:57:14.673
2343
2343
null
11409
2
null
11402
16
null
Most of the work on non-parametrics was originally done assuming that there was an underlying continuous distribution in which ties would be impossible (if measured accurately enough). The theory can then be based on the distributions of order statistics (which are a lot simpler without ties) or other formulas. In so...
null
CC BY-SA 3.0
null
2011-05-31T20:00:46.263
2011-05-31T20:00:46.263
null
null
4505
null
11411
1
null
null
1
146
> Possible Duplicate: Cross-correlation significance in R How can I test the significance of the correlation coefficient? I have two time series and I want to test if they are cross correlation. Should I do prewhitening the two series before comuputing the ccf or there are an easy way?
How can I test the significance of the correlation coefficient?
CC BY-SA 3.0
null
2011-05-31T20:57:49.140
2011-05-31T21:03:51.863
2017-04-13T12:44:44.530
-1
4823
[ "time-series", "cross-correlation" ]
11412
1
14568
null
12
7054
I've used a wide array of tests for my thesis data, from parametric ANOVAs and t-tests to non-parametric Kruskal-Wallis tests and Mann-Whitneys, as well as rank-transformed 2-way ANOVAs, and GzLMs with binary, poisson and proportional data. Now I need to report everything as I write all of this up in my results. I've a...
Error to report with median and graphical representations?
CC BY-SA 3.0
null
2011-05-31T22:03:47.097
2011-08-21T00:34:00.843
2017-04-13T12:44:48.343
-1
4238
[ "data-visualization", "median", "error" ]
11413
1
38681
null
11
4023
In plain English: I have a multiple regression or ANOVA model but the response variable for each individual is a curvilinear function of time. - How can I tell which of the right-hand-side variables are responsible for significant differences in the shapes or vertical offsets of the curves? - Is this a time-seri...
Longitudinal data: time series, repeated measures, or something else?
CC BY-SA 3.0
null
2011-06-01T00:47:09.967
2017-01-19T14:33:45.403
2017-04-13T12:44:56.303
-1
4829
[ "regression", "time-series", "mixed-model", "repeated-measures", "panel-data" ]
11414
1
null
null
54
1841
I know, this may sound like it is off-topic, but hear me out. At Stack Overflow and here we get votes on posts, this is all stored in a tabular form. E.g.: post id voter id vote type datetime ------- -------- --------- -------- 10 1 2 2000-1-1 10:00:01 11 ...
Do we have a problem of "pity upvotes"?
CC BY-SA 3.0
null
2011-06-01T01:57:42.547
2011-06-04T19:07:31.727
2011-06-03T14:54:01.880
223
1163
[ "time-series", "hypothesis-testing", "data-mining", "markov-process", "censoring" ]
11415
2
null
11414
36
null
You could use a multistate model or Markov chain (the msm package in R is one way to fit these). You could then look to see if the transition probability from -1 to 0 is greater than from 0 to 1, 1 to 2, etc. You can also look at the average time at -1 compared to the others to see if it is shorter.
null
CC BY-SA 3.0
null
2011-06-01T03:12:38.823
2011-06-01T03:12:38.823
null
null
4505
null
11416
2
null
11331
2
null
[Noether's Test for Cyclic Trend](https://projecteuclid.org/journals/annals-of-mathematical-statistics/volume-21/issue-2/Asymptotic-Properties-of-the-Wald-Wolfowitz-Test-of-Randomness/10.1214/aoms/1177729841.full) may help. You'll find this routine implemented in the [IMSL Statistical libraries](https://web.archive.org...
null
CC BY-SA 4.0
null
2011-06-01T03:18:46.037
2022-08-30T19:38:44.387
2022-08-30T19:38:44.387
79696
1080
null
11417
1
null
null
3
232
I am working through a problem on CI for a sample mean and I cannot get the answer listed in the text I have. I am wondering if I am missing something or whether the text may be incorrect. We are given a sample of 10 scores: ``` 45,38,52,48,25,39,51,46,55,46 ``` I get a mean of 44.5 and SD of 8.68 which is the same ...
Confidence interval for sample mean (possible error in text)
CC BY-SA 3.0
null
2011-06-01T03:43:28.240
2014-06-29T05:14:59.217
2011-06-01T06:13:32.743
4498
4498
[ "confidence-interval" ]
11418
1
null
null
10
6816
this question started as "[Clustering spatial data in R](https://stats.stackexchange.com/questions/9739/clustering-spatial-data-in-r)" and now has moved to DBSCAN question. As the responses to the first question suggested I searched information about DBSCAN and read some docs about. New questions have arisen. DBSCAN re...
Density-based spatial clustering of applications with noise (DBSCAN) clustering in R
CC BY-SA 3.0
null
2011-06-01T07:59:59.237
2011-12-06T09:20:48.557
2017-04-13T12:44:41.980
-1
4147
[ "r", "clustering", "spatial" ]
11419
1
null
null
1
2510
is anybody familiar with the `tobit()` command using the package AER? I'm searching for a command to compute the marginal effects for y (not for the latent variable y*). It seems to be $\phi(x\beta/\sigma)\beta$, where $\phi$ is the std.normal cumulative distribution function. But how can I compute those effects with R...
How to compute marginal effects in a Tobit model using R?
CC BY-SA 3.0
0
2011-06-01T08:09:38.367
2011-06-01T08:21:22.667
2011-06-01T08:21:22.667
null
4496
[ "r", "regression", "tobit-regression" ]
11420
1
11426
null
4
2163
I prepared a model which had very good accuracy (80.5%) on my out of sample data. However when I ran that model on a population which is some 6mths old the accuracy went down to abysmal 33%. I am talking here about percentage detection of event (say defaulters). So right now my model is only detecting 33 out of 100 def...
Low accuracy in out of time validation
CC BY-SA 3.0
null
2011-06-01T09:00:07.850
2011-06-01T13:48:04.823
2011-06-01T10:07:48.977
2116
1763
[ "logistic" ]
11421
1
11423
null
12
24320
As far as I know variance is calculated as $$\text{variance} = \frac{(x-\text{mean})^2}{n}$$ while $$\text{Empirical Variance} = \frac{(x-\text{mean})^2}{n(n-1)} $$ Is it correct? Or is there some other definition? Kindly explain with example or any refence for reading on this topic
What is the difference between empirical variance and variance?
CC BY-SA 3.0
null
2011-06-01T09:24:42.800
2011-06-01T14:15:23.697
2011-06-01T10:05:36.543
2116
4802
[ "machine-learning", "variance", "cart" ]
11423
2
null
11421
19
null
In your expression for the [variance](http://en.wikipedia.org/wiki/Variance), you need to take a sum (or integral) across the population $$\text{variance} = \frac{\sum_i(x_i-\text{mean})^2}{n}$$ If your data is a sample from the population then this expression will give you a biased estimate of the population variance...
null
CC BY-SA 3.0
null
2011-06-01T09:46:10.353
2011-06-01T14:15:23.697
2011-06-01T14:15:23.697
2958
2958
null
11424
2
null
9121
5
null
My personal view on this is that - For descriptive purpose, we usually want to show the within-group (i.e., individual) variations (barplot + SD, or better boxplot). - Within the inferential context of the ANOVA, we might rather want to show the SE, 95% CIs, or LSD intervals, for example. Showing 95% CIs has the meri...
null
CC BY-SA 3.0
null
2011-06-01T10:10:45.487
2011-06-01T10:10:45.487
null
null
930
null
11425
2
null
11420
4
null
I'm assuming that you expect that the other data set should have similar characteristics to your original data set. I only consider myself a beginner in this area, but it sounds likely that you "over-fitted" your model to the sample data. This means fitting to random noise in the data, as though it is a real effect tha...
null
CC BY-SA 3.0
null
2011-06-01T10:23:59.630
2011-06-01T10:43:21.777
2011-06-01T10:43:21.777
3835
3835
null
11426
2
null
11420
4
null
The most obvious culprit for your problem is probably [spurious relationship](http://en.wikipedia.org/wiki/Spurious_relationship). You identified relationships which deemed significant for certain period of time, but they are not significant for all periods of time. [Lucas critique](http://en.wikipedia.org/wiki/Lucas_c...
null
CC BY-SA 3.0
null
2011-06-01T10:24:27.843
2011-06-01T10:24:27.843
null
null
2116
null
11427
2
null
11413
5
null
As Jeromy Anglim said, it would help to know the number of time points you have for each individual; as you said "many" I would venture that [functional analysis](http://ego.psych.mcgill.ca/misc/fda/) might be a viable alternative. You might want to check the R package [fda](http://cran.at.r-project.org/package=fda) an...
null
CC BY-SA 3.0
null
2011-06-01T10:55:44.523
2011-06-01T10:55:44.523
null
null
892
null
11428
1
11776
null
3
181
I want to evaluate the implications of increasing fine prices. I will have a few different scenarios ranging from business as usual, minor increase, proportional increase, categorical increase, to extreme-increases. Each scenario will have different levels of monetary increase depending on the fine details and subprogr...
Statistical models and methods to evaluate and forecast "fine price" increases
CC BY-SA 3.0
null
2011-06-01T13:09:57.743
2011-06-09T20:38:13.227
2011-06-01T15:21:13.607
null
59
[ "forecasting" ]
11429
1
null
null
3
555
Does anyone know such? I tried to find such procedures in Gretl, but there you can use either hsk procedure for heteroskedasticity correction or ar1 procedure for serial correlation correction. I need the GLS procedure that will deal with both. Thanks
Software enabling GLS estimation with both heteroskedasticity and serial correlation correction
CC BY-SA 3.0
null
2011-06-01T13:37:03.077
2011-06-02T11:00:26.363
null
null
4837
[ "regression" ]
11430
2
null
11420
1
null
Could you provide information about the nature of data (cross-section, time-series, panel...)? In any case, it seems to me that one pssible problem is that there is a time trend that you are not take into acount. Another possibility is just that the data is not stationary, i.e, th past does not resemble the future at a...
null
CC BY-SA 3.0
null
2011-06-01T13:48:04.823
2011-06-01T13:48:04.823
null
null
3058
null
11431
2
null
11429
7
null
Function `gls()` in package nlme for [R](http://www.r-project.org) can handle both situations. The serial correlation is specified via argument `correlation` and heteroskedasticity is specified via the `weights` argument. Both can take a number of pre-specified functions also provided by the package which can estimate ...
null
CC BY-SA 3.0
null
2011-06-01T13:55:35.220
2011-06-01T13:55:35.220
null
null
1390
null
11432
2
null
11429
0
null
AUTOBOX is a program that I am familiar with having written both of these modules for AFS a company that I am still working with. The distinguishing features of AUTOBOX is that it can automatically determine the weights required for GLS while automatically identifying the ARIMA structure. They have a 30 day free demo a...
null
CC BY-SA 3.0
null
2011-06-01T15:14:50.707
2011-06-01T15:23:49.930
2011-06-01T15:23:49.930
3382
3382
null
11433
1
11434
null
2
393
I know that there are various posts regarding variable selection but I am asking something particular. With respect to the question that I posted today in the following link: [Low accuracy in out of time validation](https://stats.stackexchange.com/questions/11420/low-accuracy-in-out-of-time-validation) If you had a loo...
Variable selection for increasing accuracy
CC BY-SA 3.0
null
2011-06-01T15:57:19.287
2011-06-01T16:14:46.487
2017-04-13T12:44:24.677
-1
1763
[ "machine-learning", "feature-selection" ]
11434
2
null
11433
1
null
Whatever variable selection technique you use, be sure to cross-validate it to keep from overfitting. It seems that you may have overfit your initial model, so this step is very important. One idea would be to use the elastic net or lasso for regularization and variable selection. You can use the package [glmnet](htt...
null
CC BY-SA 3.0
null
2011-06-01T16:14:46.487
2011-06-01T16:14:46.487
null
null
2817
null
11435
1
null
null
3
133
Suppose $x_{1}, x_{2} \dots x_{N}$ are gaussian RVs with variance $S$ and mean $1$. What is the density function of $$\frac{ |\sum_{n=1}^{N}x_{n}|^{2}}{\sum_{n=1}^{N}|x_{n}|^{2}}\text{?}$$
Density function question
CC BY-SA 3.0
null
2011-06-01T16:39:02.153
2021-07-13T00:19:57.347
2021-07-13T00:19:57.347
11887
99
[ "normal-distribution", "density-function" ]
11436
1
null
null
15
1203
Does anyone use the $L_1$ or $L_.5$ metrics for clustering, rather than $L_2$ ? Aggarwal et al., [On the surprising behavior of distance metrics in high dimensional space](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.23.7409&rep=rep1&type=pdf) said (in 2001) that > $L_1$ is consistently more preferable t...
$L_1$ or $L_.5$ metrics for clustering?
CC BY-SA 3.0
null
2011-06-01T16:42:07.290
2022-09-03T20:02:06.363
2017-04-13T12:44:39.283
-1
557
[ "clustering", "distance-functions", "rule-of-thumb" ]
11437
1
11442
null
8
5383
I am interested in fitting a Bayesian Two Factor ANOVA in BUGS or by utilizing some R package. Unfortunately I am having a hard time finding resources on this topic. Any suggestions? Even an article describing the approach would be helpful.
Bayesian two-factor ANOVA
CC BY-SA 3.0
null
2011-06-01T17:14:14.053
2011-12-27T08:44:05.910
2011-06-02T08:22:37.617
null
2310
[ "r", "bayesian", "anova", "bugs" ]
11438
1
20504
null
4
2326
I have a model $$Y=\beta_0 + \beta_1 x_1 + \beta_2x_2 +\epsilon$$ I would like the minimum variance unbiased estimate of $\gamma=\beta_1 + \beta_2$. Assuming the Gauss Markov conditions hold, but $x_1$ and $x_2$ are correlated, is there a more efficient way to estimate $\gamma$ than running OLS and adding the estimat...
Is there a GLS estimator that has lower variance than OLS for sum of parameters in linear model under Gauss-Markov conditions?
CC BY-SA 3.0
null
2011-06-01T17:34:48.367
2012-01-02T22:34:30.367
2011-06-02T11:40:00.413
3700
3700
[ "least-squares", "multiple-regression", "generalized-least-squares" ]
11439
2
null
726
14
null
preamble: There is even a class of user now days who sees the significance stars rather like the gold stars my grandson sometimes gets on his homework: > Three solid gold (significance) stars on the main effects will do very nicely, thank you, and if there are a few little stars here and there on the interacti...
null
CC BY-SA 3.0
null
2011-06-01T17:43:40.663
2012-03-28T23:07:00.480
2012-03-28T23:07:00.480
1381
1381
null
11440
1
11447
null
2
1820
Does anybody know why it is not possible to compute standardized residuals when estimating a Tobit model? Here is a short example of what I am talking about: ``` > require(AER) # for tobit estimation commands > require(MASS) # for computing standardized residuals > numberofdrugs <- rpois(84, 5)+1 > healthvalue <- rp...
Standardized residuals of a Tobit model in R
CC BY-SA 3.0
null
2011-06-01T17:44:35.677
2011-06-02T08:21:56.230
2011-06-02T08:21:56.230
null
4496
[ "r", "residuals", "tobit-regression" ]
11441
2
null
11438
3
null
The short answer is no. By the Gauss-Markov theorem, if you want an unbiased estimator, then the OLS is the minimum variance estimator. However, if you relax the unbiasedness condition, you can get better expected mean square error by using some kind of regularization (e.g. ridge regression).
null
CC BY-SA 3.0
null
2011-06-01T17:49:19.557
2011-06-01T17:49:19.557
null
null
3834
null
11442
2
null
11437
6
null
Simon Jackman has some working code for fitting ANOVA and regression models with [JAGS](http://www-ice.iarc.fr/~martyn/software/jags/) (which is pretty like BUGS), e.g. [two-way ANOVA via JAGS](http://jackman.stanford.edu/classes/BASS/madrid/madridWednesday.R) (R code) or maybe among his handouts on [bayesian analysis ...
null
CC BY-SA 3.0
null
2011-06-01T18:12:49.360
2011-06-01T18:12:49.360
null
null
930
null
11443
1
11461
null
1
847
Why is the negbin distribution required when the analyzed count data is bounded? I don't really understand the following: > "The Poisson distribution can form the basis for some analyses of count data and in this case Poisson regression may be used. This is a special case of the class of generalized linear mod...
Negative binomial distribution for bounded data
CC BY-SA 3.0
null
2011-06-01T18:48:16.050
2011-07-02T08:14:24.763
2011-06-02T08:08:59.333
null
4496
[ "regression", "count-data", "negative-binomial-distribution" ]
11444
1
11586
null
3
601
Suppose you are trying to estimate the joint density $p(x,y)$ based on observed $(X,Y)$. However, you know that the marginal density $p(x)$ is uniform. How can you use this information to improve your density estimate?
Constrained kernel density estimation
CC BY-SA 3.0
null
2011-06-01T18:56:43.163
2015-04-27T05:38:33.130
2015-04-27T05:38:33.130
9964
3567
[ "estimation", "density-function", "smoothing", "kernel-smoothing" ]
11445
2
null
11414
13
null
Summary of my answer. I like the Markov chain modeling but it misses the "temporal" aspect. On the other end, focusing on the temporal aspect (e.g. average time at $-1$) misses the "transition" aspect. I would go into the following general modelling (which with suitable assumption can lead to [markov process][1]). Also...
null
CC BY-SA 3.0
null
2011-06-01T18:59:04.133
2011-06-04T19:07:31.727
2011-06-04T19:07:31.727
223
223
null
11446
2
null
11414
13
null
Conduct an experiment. Randomly downvote half of the new posts at a particular time every day.
null
CC BY-SA 3.0
null
2011-06-01T19:01:42.683
2011-06-01T19:01:42.683
null
null
3567
null
11447
2
null
11440
6
null
The problem is in assuming that `stdres()` will work for a tobit regression. The reason `resid()` works for `tob` is that the type of object returned by `tobit()` inherits from class "survreg": ``` R> class(tob) [1] "tobit" "survreg" ``` and there is a special `residuals()` method for objects of that class: ``` R> m...
null
CC BY-SA 3.0
null
2011-06-01T19:27:44.660
2011-06-01T23:01:10.137
2011-06-01T23:01:10.137
1390
1390
null
11448
1
11452
null
5
1754
I have a series of scores in a signal detection task. For each block of scores (i.e. a set of scores from one participant on one day) I have calculated a d' score which I am using as an indicator of performance. These d' scores rise over time, which is an interesting result. Is there any way I can calculate whether the...
Is there a way to determine the significance of a change in a d' score?
CC BY-SA 3.0
null
2011-06-01T20:34:29.613
2011-06-02T12:39:14.340
null
null
1950
[ "statistical-significance", "signal-detection" ]
11450
1
11451
null
10
1983
I've got R running on amazon EC2, using a modified version of the [bioconductor AMI](http://www.bioconductor.org/help/bioconductor-cloud-ami/). Currently, I am using putty to ssh into my server, starting R from the command line, and then copying and pasting my script from notepad++ into my putty session. The thing is,...
Best way to interact with an R session running in the cloud
CC BY-SA 3.0
null
2011-06-01T21:33:48.467
2015-10-15T17:07:48.210
2017-04-13T12:44:20.943
-1
2817
[ "r" ]
11451
2
null
11450
12
null
I can think of a few ways. I've done this quite a bit and here are the ways I found most useful: - Emacs Daemon mode. ssh into the EC2 instance with the -X switch so it forwards X windows back to your remove machine. Using daemon mode will ensure that you don't lose state if your connection times out or drops - Inste...
null
CC BY-SA 3.0
null
2011-06-01T21:50:43.183
2011-06-01T21:50:43.183
null
null
29
null
11452
2
null
11448
4
null
I've come to decide that the best approach to the analysis of signal detection data (frankly, any data with dichotomous stimuli & responses) collected in multiple participants is to use a generalized mixed model, treating participant as a random effect and predicting response as a function of truth and whatever other e...
null
CC BY-SA 3.0
null
2011-06-01T22:57:51.170
2011-06-02T12:39:14.340
2011-06-02T12:39:14.340
364
364
null
11453
2
null
11450
3
null
I don't know how Amazon EC2 works, so maybe my simple solutions don't work. But I normally use scp or sftp (through WinSCP if I'm on Windows) or git.
null
CC BY-SA 3.0
null
2011-06-01T23:28:58.400
2011-06-01T23:28:58.400
null
null
3874
null
11454
1
11492
null
3
978
Suppose I have two (possibly biased) coins. I've run an experiment where I flipped each coin `N` times, and the coins landed heads with proportions `p_1 < p_2`. Now I want to do a power analysis to figure out how many flips I need to run in a second experiment, in order to have an 80% chance of detecting a difference a...
Conducting a power analysis on difference between two proportions
CC BY-SA 3.0
null
2011-06-01T23:37:15.583
2011-06-02T16:27:52.900
null
null
1106
[ "statistical-power" ]
11455
1
11467
null
1
169
I am conducting a Linear Mixed Effects Model analyses to evaluate the efficacy of an intervention. I have a dummy variable 'condition' which I have coded '2' for control group and '1' for intervention group. Is that okay or do I need to use a specific order (.e.g, 0 = no intervention, 1 = intervention)?
Does it matter what values you assign to represent two groups in a dummy variable?
CC BY-SA 3.0
null
2011-06-02T02:45:01.610
2011-06-02T05:58:57.107
2011-06-02T03:14:13.727
919
4269
[ "mixed-model", "ordinal-data" ]
11456
2
null
10529
1
null
I didn't undestand what they are doing. Here what I understood: You have a $y_{i}$ response, and a coavariate $x_{it}$, where $i = 1, 2, .. n$ is the individual measure and $t=1, 2, 3, 4$ is the time dimension. Here, the $y$ didn't vary by time, is that right? Is that correct? If so, it seems that they calculated sd ...
null
CC BY-SA 3.0
null
2011-06-02T02:46:27.130
2011-06-02T02:46:27.130
null
null
3058
null
11457
1
null
null
4
4651
is it possible to do stepwise (direction = both) model selection in nested binary logistic regression in R? I would also appreciate if you can teach me how to get: - Hosmer-Lemeshow statitistic, - Odds ratio of the predictors, - Prediction success of the model. I used lme4 package of R. This is the script I used...
Stepwise model selection, Hosmer-Lemeshow statistics and prediction success of model in nested logistic regression in R
CC BY-SA 3.0
null
2011-06-02T02:57:31.857
2011-06-02T12:41:01.310
2017-05-23T12:39:27.620
-1
4848
[ "r", "logistic", "multilevel-analysis" ]
11458
1
11506
null
3
2362
I have set $x = {1,2,3,4,5}$ and set $y = {2,3,4,5,6}$. Lets say the correlation of $x$ and $y$ is $0.7$. If I then have set $z = {1,2,3,4,5,2,3,4,5,6}$, and I do autocorrelation using lag $=$ $5$, should I not get the same $0.7$? I have been doing this but I keep getting different results. I'm wondering if I'm doing s...
Autocorrelation vs correlation calculation
CC BY-SA 3.0
null
2011-06-02T03:07:09.990
2011-06-03T04:05:10.890
2011-06-02T12:22:54.703
4403
4403
[ "correlation", "autocorrelation" ]
11459
1
11468
null
7
7398
I am confused about the mixed advice regarding controlling for baseline differences. Would you always control for a baseline between groups difference on a particular variable or only if the variable correlates with the DV? I am using SPSS and conducting Mixed Model analyses to evaluate an intervention. Jeromy, I tri...
Do you include a covariate because of baseline group difference or if correlated with DV or both?
CC BY-SA 3.0
null
2011-06-02T03:40:38.623
2012-02-10T12:32:20.267
2011-06-02T07:52:14.237
4269
4269
[ "mixed-model", "repeated-measures" ]
11460
2
null
396
6
null
If plotting in color, consider that colorblind people may have trouble distinguishing elements by color alone. So: - Use line styles to distinguish lines. - Use extra weight in elements, make linewidth at least 2 pt, etc. - Use different markers as well as colors to distinguish points. - Use labels and annotations,...
null
CC BY-SA 4.0
null
2011-06-02T03:51:31.690
2022-11-20T10:10:33.567
2022-11-20T10:10:33.567
362671
4847
null
11461
2
null
11443
1
null
In a Poisson distribution, the variance is equal to the mean. The negative binomial distribution has a variance that is greater than the mean by some factor -- hence it's "overdispersed" relative to the Poisson. In marketing theory (see Ehrenberg's Repeat Buying), purchases by a given individual have a Poisson distrib...
null
CC BY-SA 3.0
null
2011-06-02T03:54:27.217
2011-06-02T03:54:27.217
null
null
3919
null
11462
1
null
null
6
6868
I'm trying to find the best model based on AIC using the stepwise (`direction = both`) model selection in R using the stepAIC in MASS package. This is the script i used: ``` stepAIC (glmer(decision ~ as.factor(Age) + as.factor(Educ) + as.factor(Child), family=binomial, data=RShifting), direction="both") ``` however I...
Incorporating random effects in the logistic regression formula in R
CC BY-SA 3.0
null
2011-06-02T04:23:51.223
2011-06-02T09:38:42.860
2011-06-02T09:38:42.860
2116
4848
[ "r", "logistic", "stepwise-regression" ]
11463
2
null
11457
1
null
I'm here again =)! It happens that right now I'm fitting a nested logistic regression and I have to choose the better model as well. Actually I don't know how to do stepwise with lme4, nonetheless I'm not sure it is advisble to use AIC to choose the best model (better fit). Take a look at [this link](http://www.mrc-bsu...
null
CC BY-SA 3.0
null
2011-06-02T04:56:40.010
2011-06-02T04:56:40.010
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I'd use rsync to push the scripts and data files to the server, then "nohup Rscript myscript.R > output.out &" to run things and when finished, rsync to pull the results.
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CC BY-SA 3.0
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2011-06-02T05:03:33.267
2011-06-02T05:03:33.267
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Spatial cluster analysis uses geographically referenced observations and is a subset of cluster analysis that is not limited to exploratory analysis. Example 1 It can be used to make fair election districts. Example 2 Local spatial autocorrelation measures are used in the [AMOEBA method](http://code.google.com/p/clust...
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CC BY-SA 3.0
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2011-06-02T05:53:39.117
2011-06-02T06:01:50.210
2011-06-02T06:01:50.210
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Suppose your model is the following: $$Y_i=X_i\beta+D_i\alpha$$ where $X$ is the other variables and $D$ is your dummy variable. Then for the control group your model is $$Y_i=X_i\beta+2\alpha$$ and for intervention group $$Y_i=X_i\beta+\alpha.$$ If you recode with 0 and 1 then respectively you get $$Y_i=X_i\beta$$ for...
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CC BY-SA 3.0
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2011-06-02T05:58:57.107
2011-06-02T05:58:57.107
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You might want to read the following article - Pocock, S.J. and Assmann, S.E. and Enos, L.E. and Kasten, L.E. (2002). Subgroup analysis, covariate adjustment and baseline comparisons in clinical trial reporting: current practice and problems. FREE PDF - Check out the discussion of answers to this question on best pra...
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CC BY-SA 3.0
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2011-06-02T06:12:26.110
2011-06-03T05:22:22.907
2017-04-13T12:44:24.947
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The appropriate analysis would depend on whether you have multiple participants or just one participant and the number of blocks that you have. In general, with more blocks, you can more precisely characterise the functional relationship between practice and performance. ### Small number of blocks (e.g., 3 to perhaps ...
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CC BY-SA 3.0
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2011-06-02T06:23:07.207
2011-06-02T08:24:09.440
2011-06-02T08:24:09.440
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Short answer is you can't - well, not without recoding a version of `stepAIC()` that knows how to handle S4 objects. `stepAIC()` knows nothing about `lmer()` and `glmer()` models, and there is no equivalent code in lme4 that will allow you to do this sort of stepping. I also think your whole process needs carefully ret...
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CC BY-SA 3.0
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2011-06-02T08:40:01.790
2011-06-02T08:40:01.790
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The most convenient way is just to install VNC server and some light environment like XFCE and make yourself a virtual session that you can use from wherever you want (it persists disconnects), i.e. something like this: ![enter image description here](https://i.stack.imgur.com/zwill.png) Additional goodies are that yo...
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CC BY-SA 3.0
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2011-06-02T08:45:49.460
2011-06-02T08:45:49.460
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