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Tags
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6464
2
null
6463
3
null
You should try R software with package [spdep](http://cran.r-project.org/web/packages/spdep/index.html). see the vignette [here](http://cran.r-project.org/web/packages/spdep/vignettes/sids.pdf)
null
CC BY-SA 2.5
null
2011-01-23T08:13:06.243
2011-01-23T09:26:32.053
2011-01-23T09:26:32.053
930
223
null
6465
2
null
6463
13
null
In addition to the package that @robin pointed too, you should look at the [Spatial](http://cran.r-project.org/web/views/Spatial.html) Task View on CRAN. What you are describing is known as a [choropleth map](http://en.wikipedia.org/wiki/Choropleth_map), as illustrated here: [Choropleth Maps of Presidential Voting](htt...
null
CC BY-SA 2.5
null
2011-01-23T09:26:00.510
2011-01-23T09:26:00.510
null
null
930
null
6466
2
null
577
6
null
AIC should rarely be used, as it is really only valid asymptotically. It is almost always better to use AICc (AIC with a correction for finite sample size). AIC tends to overparameterize: that problem is greatly lessened with AICc. The main exception to using AICc is when the underlying distributions are heavily lep...
null
CC BY-SA 2.5
null
2011-01-23T14:11:09.733
2011-01-23T14:11:09.733
null
null
2875
null
6467
2
null
6463
2
null
I've not tried [CrackMaps](http://www.crack4mac.com/) but it looks very interesting. Only available for the Mac, I presume.
null
CC BY-SA 2.5
null
2011-01-23T14:31:32.623
2011-01-23T14:31:32.623
null
null
2617
null
6468
1
null
null
3
934
This is a question that landed on my desk, and I don't have the requisite experience to reply. A researcher has been asked to perform (by a journal reviewer) a two-way factorial ANCOVA on some microrarray data (a single array will be a single measurement of ~30,000 entities from a single sample in this case). The sugge...
Requirements to perform a two-way factorial ANCOVA
CC BY-SA 2.5
null
2011-01-23T15:16:47.363
2011-01-23T17:48:31.583
null
null
null
[ "ancova" ]
6469
1
6470
null
21
24393
How do I fit a linear model with autocorrelated errors in R? In stata I would use the `prais` command, but I can't find an R equivalent...
Simple linear model with autocorrelated errors in R
CC BY-SA 2.5
null
2011-01-23T15:36:47.640
2015-02-17T08:58:47.903
2011-01-23T17:35:50.843
null
2817
[ "r", "time-series", "autocorrelation" ]
6470
2
null
6469
24
null
Have a look at `gls` (generalized least squares) from the package [nlme](http://cran.r-project.org/web/packages/nlme/index.html) You can set a correlation profile for the errors in the regression, e.g. ARMA, etc: ``` gls(Y ~ X, correlation=corARMA(p=1,q=1)) ``` for ARMA(1,1) errors.
null
CC BY-SA 2.5
null
2011-01-23T15:52:41.160
2011-01-23T15:52:41.160
null
null
300
null
6471
2
null
6469
7
null
Use function gls from package nlme. Here is the example. ``` ##Generate data frame with regressor and AR(1) error. The error term is ## \eps_t=0.3*\eps_{t-1}+v_t df <- data.frame(x1=rnorm(100), err=filter(rnorm(100)/5,filter=0.3,method="recursive")) ##Create ther response df$y <- 1 + 2*df$x + df$err ###Fit the model...
null
CC BY-SA 2.5
null
2011-01-23T16:11:36.907
2011-01-23T18:56:29.413
2011-01-23T18:56:29.413
2116
2116
null
6472
2
null
6468
2
null
A total sample size of nine is simply too small to do a two-way factorial ANCOVA or a two way-factorial ANOVA. I would have thought it's stretching things to even do a one-way ANOVA on nine observations, especially with 30,000 different outcomes. I think you need a bigger sample if you wish to make any statistical infe...
null
CC BY-SA 2.5
null
2011-01-23T17:48:31.583
2011-01-23T17:48:31.583
null
null
449
null
6473
1
6474
null
8
2822
I was wondering if anyone has ported the examples from Durbin & Koopman "Time Series Analysis by State Space Methods" to R? You can find RATS code for the examples online and obviosly SsfPack/Ox but no signs of an R companion for this book...
R examples for Durbin & Koopman "Time Series Analysis by State Space Methods"
CC BY-SA 2.5
null
2011-01-23T18:44:29.417
2018-05-15T08:16:24.717
2018-05-15T07:26:50.410
128677
300
[ "r", "time-series", "references", "state-space-models" ]
6474
2
null
6473
15
null
There is a package in CRAN ([KFAS](http://cran.r-project.org/web/packages/KFAS/index.html)) which implements a good portion of the algorithms described in Durbin & Koopman, including "exact" non-informative distributions for the state vector, or parts of it. Although it is not paticularly tied to Durbin & Koopman's boo...
null
CC BY-SA 2.5
null
2011-01-23T18:53:28.767
2011-01-23T18:53:28.767
null
null
892
null
6475
1
6491
null
4
6768
I have used a three-way ANOVA to analyze the the effect of genes, transcription factors, and different conditions on the gene expression. Now I have 9 elements, SSa, SSb, SSc, SSab, SSbc, SSac, SSabc, SSe. How can I interpret these values? I appreciate if you introduce me some resources, or share your own experience wi...
How to interpret a three-way ANOVA?
CC BY-SA 2.5
null
2011-01-23T19:48:59.000
2011-01-24T16:01:01.520
2011-01-23T19:55:49.120
930
2885
[ "anova", "interpretation" ]
6476
2
null
6469
30
null
In addition to the `gls()` function from `nlme`, you can also use the `arima()` function in the `stats` package using MLE. Here is an example with both functions. ``` x <- 1:100 e <- 25*arima.sim(model=list(ar=0.3),n=100) y <- 1 + 2*x + e ###Fit the model using gls() require(nlme) (fit1 <- gls(y~x, corr=corAR1(0.5,for...
null
CC BY-SA 2.5
null
2011-01-23T21:22:19.533
2011-01-24T04:48:03.363
2011-01-24T04:48:03.363
159
159
null
6477
1
6486
null
13
36377
I have run Levene's and Bartlett's test on groups of data from one of my experiments to validate that I am not violating ANOVA's assumption of homogeneity of variances. I'd like to check with you guys that I'm not making any wrong assumptions, if you don't mind :D The p-value returned by both of those tests is the prob...
Interpretation of the p-values produced by Levene's or Bartlett's test for homogeneity of variances
CC BY-SA 2.5
null
2011-01-23T21:42:19.447
2011-01-24T15:20:28.567
2011-01-23T23:15:38.383
1320
1320
[ "anova", "heteroscedasticity", "levenes-test" ]
6478
1
6485
null
30
68051
When building a CART model (specifically classification tree) using rpart (in R), it is often interesting to know what is the importance of the various variables introduced to the model. Thus, my question is: What common measures exists for ranking/measuring variable importance of participating variables in a CART mod...
How to measure/rank "variable importance" when using CART? (specifically using {rpart} from R)
CC BY-SA 2.5
null
2011-01-23T22:06:03.373
2023-03-20T01:50:42.053
2011-01-27T10:42:22.663
8
253
[ "r", "classification", "model-selection", "cart", "rpart" ]
6479
2
null
6477
5
null
You're on "the right side of the p-value." I'd just adjust your statement slightly to say that, IF the groups had equal variances in their populations, this result of p=0.95 indicates that random sampling using these n-sizes would produce variances this far apart or farther 95% of the time. In other words, strictly s...
null
CC BY-SA 2.5
null
2011-01-23T22:20:05.120
2011-01-23T22:39:18.393
2011-01-23T22:39:18.393
2669
2669
null
6480
1
6482
null
7
323
I have run 10,000 random samples (910 data points each) on a data set of about 75,000 data points. I would like to make a continuous distribution out of this so that I can test the probability of getting the results of a particular non-random sample which I made based on theoretical concerns. For each random sample (a...
How can I make a continuous distribution out of simulation results in R?
CC BY-SA 2.5
null
2011-01-24T00:56:13.530
2011-01-24T18:42:45.843
2011-01-24T09:37:48.097
144
52
[ "r", "distributions", "simulation" ]
6481
1
6510
null
3
349
As the title suggests, I am hesitating on whether to use ordinal logistic regression or not. I don't think I have the time to understand that and to figure out how to work it out in R, so can I just ignore it? Will the consequences be serious (i.e. seriously under/over-estimate the effect size)? Thanks.
Consequence of ignoring the order of a categorical variable with different levels in logistic regression
CC BY-SA 3.0
0
2011-01-24T06:40:36.760
2015-05-20T14:38:44.167
2015-05-20T14:38:44.167
28740
588
[ "logistic", "ordinal-data" ]
6482
2
null
6480
3
null
It sounds like what you're describing is a bootstrap simulation in order to estimate the distribution of a statistic (the relative frequencies). The package I'd suggest you to look into is the [boot package:](http://cran.r-project.org/web/packages/boot/index.html) > functions and datasets for bootstrapping from the ...
null
CC BY-SA 2.5
null
2011-01-24T07:42:57.160
2011-01-24T07:42:57.160
null
null
253
null
6483
1
null
null
7
377
I've items that have a geo-spatial position and a temporal origin. For both dimensions, I build clusters so far. I'm now in search of a way to merge this different clusters forming spatio-temporal clusters. Of course, I want to prevent calculating completely new clusters from the scratch and rather use the existing inf...
Merging spatial and temporal clusters
CC BY-SA 2.5
null
2011-01-24T07:48:41.997
2011-06-02T22:31:51.410
2011-01-24T19:33:04.137
919
2880
[ "time-series", "clustering", "spatial" ]
6484
1
null
null
1
2537
I am using binary logistic regression to test this model: $\text{logit}(\rho_1) = \alpha + \beta_1(\text{INDDIR}) + \beta_2(\text{INDCHAIR}) + \beta_3(\text{BOARDSIZE}) +\\ \beta_4(\text{DIRSHIP}) + \beta_5(\text{MEETING}) + \beta_6(\text{EXPERT}) + \beta_7(\text{INSTI}) +\\ \beta_8(\text{DEBT}) + \beta_9(\text{LnSIZE...
Problem with casewise list in logistic regression
CC BY-SA 4.0
null
2011-01-24T09:23:24.853
2020-01-30T07:30:17.283
2020-01-30T07:30:17.283
143489
2793
[ "logistic", "spss" ]
6485
2
null
6478
48
null
Variable importance might generally be computed based on the corresponding reduction of predictive accuracy when the predictor of interest is removed (with a permutation technique, like in Random Forest) or some measure of decrease of node impurity, but see (1) for an overview of available methods. An obvious alternati...
null
CC BY-SA 2.5
null
2011-01-24T10:47:25.223
2011-01-24T10:47:25.223
null
null
930
null
6486
2
null
6477
8
null
The p-value of your significance test can be interpreted as the probability of observing the value of the relevant statistic as or more extreme than the value you actually observed, given that the null hypothesis is true. (note that the p-value makes no reference to what values of the statistic are likely under the al...
null
CC BY-SA 2.5
null
2011-01-24T12:53:41.863
2011-01-24T14:56:01.570
2011-01-24T14:56:01.570
2392
2392
null
6487
1
null
null
1
2501
Looking to estimate a `VARX(p,q)` type VECM in R if possible. I'd like to estimate a VECM with p lags (lags relative to the level, not diff of the vars) on the endogenous variables and q lags on the exogenous components. Any ideas? At the moment I'm using the `ca.jo()` function and adding the contemporaneous and lag...
Lagged Exogenous Variables in VECM with R
CC BY-SA 2.5
null
2011-01-24T13:12:50.933
2011-01-24T15:23:46.473
2011-01-24T15:23:46.473
null
null
[ "r", "time-series", "cointegration" ]
6488
2
null
6487
4
null
If your variables are exogenous and their lags are exogenous, then there is no problem in treating them as dummy variables. So you can add them to `dumvar` option. My answer [to similar question](https://stats.stackexchange.com/questions/4030/finding-coefficients-for-vecm-exogenous-variables/5291#5291) applies.
null
CC BY-SA 2.5
null
2011-01-24T13:23:25.360
2011-01-24T13:23:25.360
2017-04-13T12:44:52.277
-1
2116
null
6489
2
null
2950
0
null
I wouldnt cluster or classify the data at all. Since youve got ratio scaled data (isotopes) my method of choice would be PCA (Principal Component Analysis). By colouring your points in the PCA diagram according to your "eco-type" you could see their dispersal within the isotope ratio variation. Further, you will see th...
null
CC BY-SA 2.5
null
2011-01-24T15:19:25.240
2011-01-24T15:19:25.240
null
null
null
null
6490
2
null
6477
3
null
While the previous comments are 100% correct, the plots produced for model objects in R provide a graphic summary of this question. Personally, i always find the plots much more useful than the p value, as one can transform the data afterward and spot the changes immediately in the plot.
null
CC BY-SA 2.5
null
2011-01-24T15:20:28.567
2011-01-24T15:20:28.567
null
null
656
null
6491
2
null
6475
2
null
Just a (not so) brief note on the question as posed, before I give a way to intepret, you must be careful about which sums of squares you have calculated, for they relate to different kinds of null hypothesis. For example, the term $SSa$ may be for just the effect $a$ assuming everything else is in the model, or it ma...
null
CC BY-SA 2.5
null
2011-01-24T16:01:01.520
2011-01-24T16:01:01.520
null
null
2392
null
6492
1
6679
null
16
3184
I want to use a t distribution to model short interval asset returns in a bayesian model. I'd like to estimate both the degrees of freedom (along with other parameters in my model) for the distribution. I know that asset returns are quite non-normal, but I don't know too much beyond that. What is an appropriate, mildl...
What's a good prior distribution for degrees of freedom in a t distribution?
CC BY-SA 2.5
null
2011-01-24T17:55:40.930
2020-02-26T16:49:59.363
2011-01-24T18:03:05.840
1146
1146
[ "distributions", "bayesian", "modeling", "prior" ]
6493
1
6506
null
24
6795
I have been using log normal distributions as prior distributions for scale parameters (for normal distributions, t distributions etc.) when I have a rough idea about what the scale should be, but want to err on the side of saying I don't know much about it. I use it because the that use makes intuitive sense to me, bu...
Weakly informative prior distributions for scale parameters
CC BY-SA 3.0
null
2011-01-24T18:02:29.257
2020-05-11T11:12:51.243
2013-01-24T18:08:12.653
1146
1146
[ "distributions", "bayesian", "modeling", "prior", "maximum-entropy" ]
6494
2
null
6480
2
null
Sounds like you want something like a [Kernel Density Estimate](http://en.wikipedia.org/wiki/Kernel_density_estimation) of the distribution. In R I think you want [density](http://stat.ethz.ch/R-manual/R-patched/library/stats/html/density.html) function.
null
CC BY-SA 2.5
null
2011-01-24T18:42:45.843
2011-01-24T18:42:45.843
null
null
1146
null
6496
2
null
6463
3
null
Self promotion: [JMP](http://www.jmp.com) (commercial desktop software) does choropleths of US states, US counties, world countries and regions of select other countries.
null
CC BY-SA 2.5
null
2011-01-24T19:35:16.437
2011-01-24T19:35:16.437
null
null
1191
null
6498
1
6503
null
26
6698
This may be hard to find, but I'd like to read a well-explained ARIMA example that - uses minimal math - extends the discussion beyond building a model into using that model to forecast specific cases - uses graphics as well as numerical results to characterize the fit between forecasted and actual values.
Seeking certain type of ARIMA explanation
CC BY-SA 2.5
null
2011-01-25T02:19:35.050
2017-07-14T08:51:15.390
2017-07-14T08:51:15.390
11887
2669
[ "time-series", "arima", "intuition" ]
6499
1
6548
null
7
1366
Assume I have a random vector $X = \{x_1, x_2, ..., x_N\}$, composed of i.i.d. binomially distributed values. If it would simplify the problem substantially, we can approximate them as normally distributed. Given that all other parameters are fixed, I want to know how $E[min(X)]$ (the expected value of the smallest n...
How do extreme values scale with sample size?
CC BY-SA 2.5
null
2011-01-25T04:16:28.640
2011-01-27T20:44:19.810
2011-01-25T04:23:44.263
1347
1347
[ "binomial-distribution", "normal-distribution", "approximation", "extreme-value" ]
6500
2
null
6498
15
null
I tried to do that in chapter 7 of my [1998 textbook](http://robjhyndman.com/forecasting/) with Makridakis & Wheelwright. Whether I succeeded or not I'll leave others to judge. You can read some of the chapter online via [Amazon](http://rads.stackoverflow.com/amzn/click/0471532339) (from p311). Search for "ARIMA" in th...
null
CC BY-SA 3.0
null
2011-01-25T04:27:55.573
2012-05-17T22:14:08.437
2012-05-17T22:14:08.437
159
159
null
6501
2
null
6353
1
null
A simple way to turn categorical variables into a set of dummy variables for use in models in SPSS is using the do repeat syntax. This is the simplest to use if your categorical variables are in numeric order. ``` *making vector of dummy variables. vector dummy(3,F1.0). *looping through dummy variables using do repeat,...
null
CC BY-SA 2.5
null
2011-01-25T04:29:36.703
2011-01-25T04:29:36.703
null
null
1036
null
6502
1
6512
null
18
6193
In a LASSO regression scenario where $y= X \beta + \epsilon$, and the LASSO estimates are given by the following optimization problem $ \min_\beta ||y - X \beta|| + \tau||\beta||_1$ Are there any distributional assumptions regarding the $\epsilon$? In an OLS scenario, one would expect that the $\epsilon$ are independe...
LASSO assumptions
CC BY-SA 2.5
null
2011-01-25T04:55:04.823
2012-10-18T07:53:30.350
null
null
2902
[ "regression", "lasso", "assumptions", "residuals" ]
6503
2
null
6498
7
null
My suggested reading for an intro to ARIMA modelling would be [Applied Time Series Analysis for the Social Sciences](http://books.google.com/books?id=D6-CAAAAIAAJ&q=Applied+Time+Series+Analysis+for+the+Social+Sciences&dq=Applied+Time+Series+Analysis+for+the+Social+Sciences&hl=en&ei=QaLNTKD-HcH88Aabt-Al&sa=X&oi=book_res...
null
CC BY-SA 2.5
null
2011-01-25T05:14:30.753
2011-01-25T05:24:27.843
2011-01-25T05:24:27.843
1036
1036
null
6504
2
null
5831
4
null
You might check out a recent presentation on SSRN by Bernard Black, "Bloopers: How (Mostly) Smart People Get Causal Inference Wrong." [http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1663404](http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1663404) I will say that I also admire David Freedman and appreciate his w...
null
CC BY-SA 3.0
null
2011-01-25T05:38:56.410
2016-12-20T18:33:39.523
2016-12-20T18:33:39.523
22468
401
null
6505
1
6511
null
34
183614
Suppose I am going to do a univariate logistic regression on several independent variables, like this: ``` mod.a <- glm(x ~ a, data=z, family=binominal("logistic")) mod.b <- glm(x ~ b, data=z, family=binominal("logistic")) ``` I did a model comparison (likelihood ratio test) to see if the model is better than the null...
Likelihood ratio test in R
CC BY-SA 3.0
null
2011-01-25T05:51:13.933
2019-08-25T13:42:30.850
2015-12-17T13:52:34.487
25741
588
[ "r", "logistic", "diagnostic" ]
6506
2
null
6493
23
null
I would recommend using a "Beta distribution of the second kind" (Beta2 for short) for a mildly informative distribution, and to use the conjugate inverse gamma distribution if you have strong prior beliefs. The reason I say this is that the conjugate prior is non-robust in the sense that, if the prior and data confli...
null
CC BY-SA 4.0
null
2011-01-25T06:05:53.627
2020-05-11T11:12:51.243
2020-05-11T11:12:51.243
58887
2392
null
6507
2
null
6499
1
null
The distribution of the minimum of any set of N iid random variables is: $$f_{min}(x)=Nf(x)[1-F(x)]^{N-1}$$ Where $f(x)$ is the pdf and $F(x)$ is the cdf (this is sometime called a $Beta-F$ distribution, because it is a compound of a Beta distribution and an arbitrary distribution). Hence the expectation (in this part...
null
CC BY-SA 2.5
null
2011-01-25T07:00:26.590
2011-01-25T23:25:12.873
2011-01-25T23:25:12.873
2392
2392
null
6508
2
null
5327
7
null
If we go for a simple answer, the excerpt from the [Wooldridge book](http://books.google.com/books?id=cdBPOJUP4VsC&printsec=frontcover&dq=wooldridge+econometrics&hl=fr&ei=1HM-TfauIIfqOZqBqY8L&sa=X&oi=book_result&ct=result&resnum=2&ved=0CC8Q6AEwAQ#v=onepage&q=wooldridge%20econometrics&f=false) (page 533) is very appropr...
null
CC BY-SA 2.5
null
2011-01-25T07:03:46.943
2011-01-25T07:03:46.943
null
null
2116
null
6509
2
null
6499
2
null
The table in [this page](http://books.google.com/books?id=dVP-RTea5wcC&lpg=PP1&dq=a%20first%20course%20in%20order%20statistics&hl=fr&pg=PA69#v=onepage&q&f=false) of [this book](http://books.google.com/books?id=dVP-RTea5wcC&printsec=frontcover&dq=a+first+course+in+order+statistics&hl=fr&ei=93s-TaLkGZOWsgOvyOWkBQ&sa=X&oi...
null
CC BY-SA 2.5
null
2011-01-25T07:31:29.650
2011-01-25T07:31:29.650
null
null
2116
null
6510
2
null
6481
2
null
If you need to quickly use an ordinal variable as an input, I recommend using it as a factor. The order of the factor is important for the interpretation of the results, but it's rather simple to reorder to the factor (using the factor command). The way the results are reported is the first group in the factor is held ...
null
CC BY-SA 2.5
null
2011-01-25T07:48:25.753
2011-01-25T07:54:33.577
2011-01-25T07:54:33.577
2166
2166
null
6511
2
null
6505
30
null
Basically, yes, provided you use the correct difference in log-likelihood: ``` > library(epicalc) > model0 <- glm(case ~ induced + spontaneous, family=binomial, data=infert) > model1 <- glm(case ~ induced, family=binomial, data=infert) > lrtest (model0, model1) Likelihood ratio test for MLE method Chi-squared 1 d.f. =...
null
CC BY-SA 2.5
null
2011-01-25T08:01:14.260
2011-01-25T08:01:14.260
null
null
930
null
6512
2
null
6502
16
null
I am not an expert on LASSO, but here is my take. First note that OLS is pretty robust to violations of indepence and normality. Then judging from the Theorem 7 and the discussion above it in the article [Robust Regression and Lasso](http://arxiv.org/pdf/0811.1790.pdf) (by X. Huan, C. Caramanis and S. Mannor) I guess...
null
CC BY-SA 3.0
null
2011-01-25T08:13:53.123
2012-10-18T07:53:30.350
2012-10-18T07:53:30.350
2116
2116
null
6513
1
6539
null
7
5984
I want to predict inter-day electricity load. My data are electricity loads for 11 months, sampled in 30 minute intervals. I also got the weather-specific data from a meteorological station (temperature, relative humidity, wind direction, wind speed, sunlight). From this, I want to predict the electricity load until th...
Predicting daily electricity load - fitting time series
CC BY-SA 2.5
null
2011-01-25T08:17:54.077
2015-01-14T12:33:46.350
null
null
2889
[ "r", "time-series", "regression", "predictive-models", "arima" ]
6515
2
null
6505
29
null
An alternative is the `lmtest` package, which has an `lrtest()` function which accepts a single model. Here is the example from `?lrtest` in the `lmtest` package, which is for an LM but there are methods that work with GLMs: ``` > require(lmtest) Loading required package: lmtest Loading required package: zoo > ## with ...
null
CC BY-SA 2.5
null
2011-01-25T08:49:04.917
2011-01-25T08:49:04.917
null
null
1390
null
6516
1
null
null
5
296
I'm currently working on audio data trying to perform a recognition for given classes (for example grinding coffee etc.). However, I have some trouble distinguishing the null class from interesting sound segments. Currently, I simply look at the audio intensity. As I have a limited, known number of classes I want to de...
Ideas for Segmenting Audio Data
CC BY-SA 2.5
null
2011-01-25T09:44:42.360
2011-01-25T15:11:37.393
null
null
2904
[ "machine-learning" ]
6517
2
null
6516
2
null
There are interesting ideas you have already started to dig in. You should just dig a little more. - Using decomposition on a meaningfull basis like fft or wavelet transform is interesting. This is alternative representation. You can think of a lot of alternative representations... wavelet is my favorite for audio da...
null
CC BY-SA 2.5
null
2011-01-25T10:33:14.700
2011-01-25T10:33:14.700
null
null
223
null
6518
1
6523
null
17
394
Has anyone written a brief survey of the various approaches to statistics? To a first approximation you have frequentist and Bayesian statistics. But when you look closer you also have other approaches like likelihoodist and empirical Bayes. And then you have subdivisions within groups such as subjective Bayes objectiv...
Statistical landscape
CC BY-SA 2.5
null
2011-01-25T11:40:59.857
2011-01-27T21:06:54.677
2011-01-27T21:06:54.677
319
319
[ "bayesian", "frequentist", "philosophical" ]
6519
1
null
null
3
253
We are measuring data with a high sample rate (20 kHz) and calculated a big standard error due to our system setup. Currently we are only interested in slow signals (in the order of Hz's) is it valid to use averaging (once per 20.000 samples) and thus lower our standard error with an order 20.000?
What does averaging do for the noise level of my signal
CC BY-SA 2.5
null
2011-01-25T12:11:54.427
2011-01-25T16:32:18.687
null
null
2907
[ "standard-error", "measurement" ]
6520
1
6522
null
5
439
I have 100 geographical regions in a country. For each region the total number of houses and the number of vacant houses have been collected yearly over 20 years. I have also some other economic indicators at the country level (GDP, interest rate etc.). Now, given the forecasts for these indicators for next year, I wan...
Modeling vacancy rate
CC BY-SA 2.5
null
2011-01-25T12:26:40.787
2011-02-07T09:08:55.787
2011-02-07T09:08:55.787
1443
1443
[ "time-series", "mixed-model", "forecasting" ]
6521
2
null
6520
3
null
It would seem to make sense to use a generalized linear mixed model with `family=binomial` and a logit or probit link. This would restrict your fitted values to the range (0,1). I don't know whether you can combine that with an autoregressive error structure in `lmer4` though.
null
CC BY-SA 2.5
null
2011-01-25T12:43:29.727
2011-01-25T12:43:29.727
null
null
449
null
6522
2
null
6520
4
null
One of the tricks in modelling percentages is to use the [logit transformation](http://en.wikipedia.org/wiki/Logit). Then instead of modelling percentage $p_i$ as linear function you model the logit transform of this percentage: \begin{align} y_i=\log\frac{p_i}{1-p_i} \end{align} In R you will need to create new transf...
null
CC BY-SA 2.5
null
2011-01-25T12:53:36.730
2011-01-25T12:53:36.730
null
null
2116
null
6523
2
null
6518
5
null
Here's one I found via a Google Image search, but maybe it's too brief, and the diagram too simple: [http://labstats.net/articles/overview.html](http://labstats.net/articles/overview.html)
null
CC BY-SA 2.5
null
2011-01-25T13:11:39.397
2011-01-25T13:11:39.397
null
null
449
null
6524
1
null
null
-1
2200
fT(t;B,C) = exp(-t/C)-exp(-t/B) / C-B where our mean is C+B and t>0. so far i have found my log likelihood functions and differentiated them as follows: dl/dB = sum[t*exp(t/C) / (B^2(exp(t/c)-exp(t/B)))] +n/(C-B) = 0 i have also found a similar dl/dC. I have now been asked to comment what you can find in the way of suf...
Maximum likelihood and sufficient statistics
CC BY-SA 2.5
null
2011-01-25T13:28:53.477
2018-03-15T23:58:18.083
2011-01-25T14:36:03.493
449
2908
[ "self-study", "maximum-likelihood" ]
6525
1
null
null
2
545
I'm very new to R Programming. So please excuse for such a simple doubt. ![How to plots this graph in R?](https://i.stack.imgur.com/pcmle.png) I want to plot the above graph. The x & y values are sequence from 0 to 2560. I want plot a a curve on the points where x*y=10^6. What are the line required in R Programming Lan...
How can I plot this simple graph (Refer Image) in R?
CC BY-SA 2.5
0
2011-01-25T13:59:38.873
2011-01-25T15:18:53.783
2011-01-25T14:54:24.167
1706
1706
[ "r" ]
6526
2
null
6518
7
null
Here's a longer article. No diagram and isn't exactly a survey, more, as the abstract puts it, of 'an idiosyncratic walk through some of these issues': M. J. Bayarri and J. O. Berger (2004). ["The Interplay of Bayesian and Frequentist Analysis"](http://www.jstor.org/stable/4144373). Statistical Science 19 (1):58-80. (...
null
CC BY-SA 2.5
null
2011-01-25T14:00:23.943
2011-01-25T14:00:23.943
null
null
449
null
6527
2
null
6525
7
null
I think all you need is: ``` curve(1e6/x,0,2560) ``` EDIT in light of comments: Or perhaps: ``` plot(...<your data>...) curve(1e6/x, 1e6/2560,2560, add=TRUE) ```
null
CC BY-SA 2.5
null
2011-01-25T14:08:35.037
2011-01-25T15:18:53.783
2011-01-25T15:18:53.783
449
449
null
6528
2
null
6525
0
null
The easiest way is to compute all y values at every given x values, like: ``` df <- data.frame(x=1:2560) df$y <- 10^6/df$x # the latter equivalent to: # df <- within(df,y<-10^6/x) ``` And after plot the dataframe: ``` plot(df, type="l", main=expression(f(x) == frac(10^{6},x))) ``` ![enter image description here](http...
null
CC BY-SA 2.5
null
2011-01-25T14:12:36.200
2011-01-25T15:10:03.390
2011-01-25T15:10:03.390
2714
2714
null
6529
2
null
6455
12
null
The answer definitely depends on: What are actually trying to use the $Q$ test for? The common reason is: to be more or less confident about joint statistical significance of the null hypothesis of no autocorrelation up to lag $h$ (alternatively assuming that you have something close to a weak white noise) and to bui...
null
CC BY-SA 2.5
null
2011-01-25T14:15:47.943
2011-01-25T14:15:47.943
null
null
2645
null
6530
2
null
6519
2
null
Averaging is just a low pass filter so if you want to filter out the high frequency component of your signal, it will do that. Obviously different averaging techniques and different parameters will filter out high frequency components in a different way. See for instance [this illustration of the frequency response of ...
null
CC BY-SA 2.5
null
2011-01-25T14:57:37.033
2011-01-25T14:57:37.033
null
null
300
null
6531
2
null
6516
1
null
I think the R package [rggobi](http://www.ggobi.org/rggobi/introduction.pdf) is exactly what you're looking for. Audo recognition is even their [example problem](http://www.ggobi.org/book/2007-infovis/05-clustering.pdf)!
null
CC BY-SA 2.5
null
2011-01-25T15:11:37.393
2011-01-25T15:11:37.393
null
null
2817
null
6532
2
null
6483
2
null
I don’t know if I understood your question correctly, but I’ll give it a try. Any hierarchical agglomerative algorithm can do the job. Remember that agglomerative algorithms proceed by “pasting” observations to a cluster and treating the cluster as a single unit. I would suggest this: - Substitute your 1d or 2d obse...
null
CC BY-SA 2.5
null
2011-01-25T16:14:11.083
2011-01-25T16:19:54.587
2011-01-25T16:19:54.587
2902
2902
null
6533
2
null
6519
2
null
Yes, you can reduce the noise by averaging or in general by reducing the sampling rate of the signal. This is a very common technique in signal processing commonly refereed to as [oversampling](http://en.wikipedia.org/wiki/Oversampling). It is widely used in sigma-delta converters. Oversampling basically means that the...
null
CC BY-SA 2.5
null
2011-01-25T16:32:18.687
2011-01-25T16:32:18.687
null
null
2020
null
6534
1
6536
null
35
226650
So, I have a data set of percentages like so: ``` 100 / 10000 = 1% (0.01) 2 / 5 = 40% (0.4) 4 / 3 = 133% (1.3) 1000 / 2000 = 50% (0.5) ``` I want to find the standard deviation of the percentages, but weighted for their data volume. ie, the first and last data points should dominat...
How do I calculate a weighted standard deviation? In Excel?
CC BY-SA 2.5
null
2011-01-25T16:44:25.457
2020-05-27T18:11:44.207
2011-01-25T23:42:29.083
142
142
[ "standard-deviation", "excel", "weighted-mean" ]
6535
1
null
null
4
354
Is there any downside to using a repeated-measure ANOVA when you have a within-subjects 2-level factor where 1 level is represented by more trials than the other. I know in ANOVA we are comparing means, but does the the tighter standard error on the one level throw off the ANOVA? For example, if my IV is stimulus cong...
Does a within-subjects factor with unequally represented levels mess up a repeated-measures ANOVA?
CC BY-SA 2.5
null
2011-01-25T17:06:41.823
2011-01-25T19:52:40.277
2011-01-25T19:52:40.277
2322
2322
[ "anova", "repeated-measures", "standard-error" ]
6536
2
null
6534
47
null
The [formula for weighted standard deviation](http://www.itl.nist.gov/div898/software/dataplot/refman2/ch2/weightsd.pdf) is: $$ \sqrt{ \frac{ \sum_{i=1}^N w_i (x_i - \bar{x}^*)^2 }{ \frac{(M-1)}{M} \sum_{i=1}^N w_i } },$$ where $N$ is the number of observations. $M$ is the number of nonzero weights. $w_i$ are the weigh...
null
CC BY-SA 3.0
null
2011-01-25T18:22:20.437
2013-07-31T11:13:57.223
2013-07-31T11:13:57.223
28661
2902
null
6537
2
null
6535
2
null
I think there are ways to do unbalanced repeated measures ANOVA; maybe look at the books "Variance Components" by Searle, Casella, and McCulloch, and "Components of Variance" by Cox and Solomon. It also seems to be in some books about multilevel / hierarchical / mixed effect models (e.g. Raudenbush and Bryk), where it ...
null
CC BY-SA 2.5
null
2011-01-25T18:58:46.707
2011-01-25T18:58:46.707
null
null
2739
null
6538
1
null
null
86
13373
I know people love to close duplicates so I am not asking for a reference to start learning statistics (as [here](https://stats.stackexchange.com/questions/414/introduction-to-statistics-for-mathematicians)). I have a doctorate in mathematics but never learned statistics. What is the shortest route to the equivalent k...
Mathematician wants the equivalent knowledge to a quality stats degree
CC BY-SA 3.0
null
2011-01-25T19:03:49.097
2018-09-07T10:47:23.517
2017-11-23T20:25:40.270
28666
2912
[ "references", "careers" ]
6539
2
null
6513
12
null
I've played around with electrical demand models, and I can tell you that it's a good idea to start "zoomed out". Each region has its own characteristics, but the general idea is the same. Electric demand is a function of many variables. Starting with the slowest moving terms. - General Economic Activity is the slo...
null
CC BY-SA 2.5
null
2011-01-25T19:30:59.893
2011-01-25T19:30:59.893
null
null
2775
null
6540
1
6555
null
1
2534
Let say I have this kind of data: ``` 1 01/1/1980 2 01/2/1999 3 03/12/2000 -1 03/6/2005 -5 07/07/2007 ``` how can I calculate the Present Value (PV) to them in respect to current date, let say with 5% interest rate, in spreadsheet? `Current date` means today. [Update] I am probably misunderstanding terms `PV` and `FV`...
How do calculate Present Value in Google Spreadsheet?
CC BY-SA 2.5
null
2011-01-25T19:34:09.613
2020-07-03T20:20:38.167
2020-07-03T20:20:38.167
35989
2914
[ "econometrics" ]
6541
2
null
6538
3
null
I come from a computer science background focusing on machine learning. However, I really started to understand (and more important to apply) statistics after taking a Pattern Recognition course using Bishop's Book [https://www.microsoft.com/en-us/research/people/cmbishop/#!prml-book](https://www.microsoft.com/en-us/r...
null
CC BY-SA 4.0
null
2011-01-25T19:38:57.673
2018-09-07T10:47:23.517
2018-09-07T10:47:23.517
131198
2904
null
6542
2
null
6538
3
null
E.T. Jaynes "Probability Theory: The Logic of Science: Principles and Elementary Applications Vol 1", Cambridge University Press, 2003 is pretty much a must-read for the Bayesian side of statistics, at about the right level. I'm looking forward to recommendations for the frequentist side of things (I have loads of mon...
null
CC BY-SA 3.0
null
2011-01-25T19:44:38.850
2013-10-09T21:32:11.783
2013-10-09T21:32:11.783
17230
887
null
6543
2
null
6538
12
null
I can't speak for the more rigorous schools, but I am doing a B.S. in General Statistics (the most rigorous at my school) at University of California, Davis, and there is a fairly heavy amount of reliance on rigor and derivation. A doctorate in math will be helpful, insomuch as you will have a very strong background in...
null
CC BY-SA 2.5
null
2011-01-25T19:48:44.050
2011-01-25T22:18:51.977
2011-01-25T22:18:51.977
1118
1118
null
6544
1
6784
null
7
8013
I have a dataset that I want to fit a simple linear model to, but I want to include the lag of the dependent variable as one of the regressors. Then I want to predict future values of this time series using forecasts I already have for the independent variables. The catch is: how do I incorporate the lag into my foreca...
Predicting from a simple linear model with lags in R
CC BY-SA 2.5
null
2011-01-25T19:56:10.017
2017-09-10T20:59:55.757
2011-01-26T09:11:58.750
null
2817
[ "r", "time-series", "regression", "predictive-models" ]
6545
2
null
725
1
null
This is a very late response, so this may no longer be of interest, but I am working on putting together an R library with various hyperspectral image processing capabilities. At the moment my focus has been on endmember detection and unmixing. If this is still something which is of interest please let me know. My hope...
null
CC BY-SA 2.5
null
2011-01-25T20:40:17.520
2011-01-25T20:40:17.520
null
null
null
null
6548
2
null
6499
10
null
Assume that the random variables $x_k$ are i.i.d., nonnegative, integer valued, bounded by $n$, and such that $P(x_k=0)$ and $P(x_k=1)$ are both positive. For every $N\ge1$, let $$ X_N= \min\{x_1,\ldots,x_N\}. $$ Then, when $N\to+\infty$, $$ E(X_N)=c^N(1+o(1)), $$ where $c<1$ is independent of $N$ and given by $...
null
CC BY-SA 2.5
null
2011-01-25T21:10:34.973
2011-01-27T20:44:19.810
2011-01-27T20:44:19.810
2592
2592
null
6549
1
6551
null
2
1461
Given a univariate sample $\vec X = X_1, ..., X_n$ with standard deviation 1 and a strictly monotone transformation $t: R \to R$ with the property that the standard deviation of $t(\vec X)$ is also 1 (where $t(\vec X)$ is $t$ applied to each $X_i$). If one know fits a normal distribution to $\vec X$ and $t(\vec X)$, on...
Likelihood at MLE and transformations, the multivariate normal case
CC BY-SA 2.5
null
2011-01-25T22:33:24.837
2011-01-27T03:32:30.250
null
null
2916
[ "normal-distribution", "multivariate-analysis", "maximum-likelihood" ]
6550
1
6553
null
3
1908
I have about 500 text documents stored in a directory. I want to randomly select one to read in the contents (this process will be repeated several times). The names of the files are not sequential. By this I mean they are not named something like 1.txt, 2.txt, 3.txt,... The names are basically random characters. ...
Reading random text file in R
CC BY-SA 2.5
null
2011-01-25T23:01:12.220
2011-01-26T09:11:37.347
2011-01-26T09:11:37.347
null
2310
[ "r", "dataset" ]
6551
2
null
6549
3
null
This is due to the invariance property of MLEs. It is an elementary exercise in calculus to show that if $E_{MLE}$ maximises the function $F(E)$ then any monotonic function of $E$, say $g=g(E)$ will also be maximised at $g_{MLE}=g(E_{MLE})$. $F(E)=F[g^{-1}(E)]$ and therefore the maximum occurs at $F_{MAX}=F(E_{MLE})=F...
null
CC BY-SA 2.5
null
2011-01-25T23:39:15.153
2011-01-27T03:32:30.250
2011-01-27T03:32:30.250
2392
2392
null
6552
2
null
6550
3
null
Do a list.files and then access each file by its index. ``` lisfil <- list.files("E:\\Data") #Replace E:\\Data with your directory name lenlisfil <- length(lisfil) for (i in 1:lenlisfil) { #Do something to the current file such as: print(lisfil[i]) } ```
null
CC BY-SA 2.5
null
2011-01-25T23:39:45.370
2011-01-25T23:39:45.370
null
null
2775
null
6553
2
null
6550
6
null
First, select one file randomly from the current directory: ``` file <- sample(list.files(), 1) ``` Then do whatever you want with it, e.g. read all lines: ``` readLines(file) ``` If you want to repeat this several times, you could do it in one step: ``` readLines(sample(list.files(), 1)) ```
null
CC BY-SA 2.5
null
2011-01-25T23:48:34.877
2011-01-25T23:48:34.877
null
null
2714
null
6554
1
6573
null
5
206
If I have a parameter with a prior $X\sim N(\mu,\sigma)$ and three data points, $x_1,x_2,x_3$, how can I calculate the posterior in R or BUGS? Here is an attempt at doing this in BUGS, that I have gotten stuck on: ``` data: list(x=1.4, 2.1, 1.1, mu = 10, tau=1/10) model { for (i in 1:3) { x[i] ~ dnorm(mu, tau...
Getting started on BUGS, need help implementing a simple model
CC BY-SA 2.5
null
2011-01-25T23:48:47.747
2011-01-26T15:45:58.250
null
null
2750
[ "r", "bayesian", "bugs" ]
6555
2
null
6540
2
null
This sounds more like you want the Future Value. The Present Value is usually defined by valuing cash flows which occur in the future, not in the past. But it amounts to the same equations. Anyways, you multiply the values in each period by $(1+r)^{t_0-t}$ and just add the results for your PV. $r$ is your interest r...
null
CC BY-SA 2.5
null
2011-01-26T00:05:52.667
2011-01-26T00:05:52.667
null
null
2392
null
6556
2
null
6524
1
null
The "failsafe" way to find a sufficient statistic in just about any problem: Calculate the Bayesian posterior distribution (up to prop constant) using a uniform prior. If a sufficient statistic exists, this method will tell you what it is. So basically, strip all multiplicative factors (those factors which do not in...
null
CC BY-SA 2.5
null
2011-01-26T00:41:37.533
2011-01-26T00:46:55.203
2011-01-26T00:46:55.203
2392
2392
null
6557
1
6615
null
11
18711
Let's say I have data: ``` x1 <- rnorm(100,2,10) x2 <- rnorm(100,2,10) y <- x1+x2+x1*x2+rnorm(100,1,2) dat <- data.frame(y=y,x1=x1,x2=x2) res <- lm(y~x1*x2,data=dat) summary(res) ``` I want to plot the continuous by continuous interaction such that x1 is on the X axis and x2 is represented by 3 lines, one which repres...
How can one plot continuous by continuous interactions in ggplot2?
CC BY-SA 2.5
null
2011-01-26T01:16:56.443
2013-05-16T21:34:18.333
2011-01-26T01:48:30.457
196
196
[ "r", "regression", "ggplot2", "interaction" ]
6558
2
null
6513
2
null
@Grega: I ran out of room in the comment area, so I started another answer. From your comment, that's the problem. Each system/grid has its own "signature". It's a combination of system dynamics, age, weather, local economics, cultures, traditions, etc. In Japan, its worse. Some sections of the country run at 50Hz...
null
CC BY-SA 2.5
null
2011-01-26T01:18:49.687
2011-01-26T04:19:31.357
2011-01-26T04:19:31.357
2775
2775
null
6559
2
null
6544
0
null
Ok, I answered my own problem, but my solution could use more testing and probably isn't perfect. Suggestions would be appreciated! First of all I used a modified version of the parseCall function available [here](http://rguha.net/code/R/parseCall.R): ``` parseCall <- function(obj) { if (class(obj) != 'call') { ...
null
CC BY-SA 2.5
null
2011-01-26T02:15:57.690
2011-01-26T02:15:57.690
null
null
2817
null
6560
1
6564
null
8
203
I'm looking for some help devising a hypothesis test for the following situation. - I have a radioactive source that spits out a particle every so often. - Also, I have two particle detectors: a red particle detector, and a green particle detector. Whenever the red particle detector detects a particle, it flashes a ...
Test for independence, when I'm missing one bin of a 2x2 contingency
CC BY-SA 2.5
null
2011-01-26T02:28:03.963
2011-01-27T23:42:20.253
null
null
2921
[ "hypothesis-testing" ]
6561
2
null
6557
5
null
Computing the estimates for y with Z-score of 0 (y0 column), -1 (y1m column) and 1 (y1p column): ``` dat$y0 <- res$coefficients[[1]] + res$coefficients[[2]]*dat$x1 + res$coefficients[[3]]*0 + res$coefficients[[4]]*dat$x1*0 dat$y1m <- res$coefficients[[1]] + res$coefficients[[2]]*dat$x1 + res$coefficients[[3]]*-1 + res...
null
CC BY-SA 2.5
null
2011-01-26T02:28:45.770
2011-01-26T02:28:45.770
null
null
2714
null
6562
1
6566
null
4
1334
I have read an [article](http://nlp.stanford.edu/~manning/courses/ling289/logistic.pdf) from Christopher Manning, and saw an interesting code for collapsing categorical variable in an logistic regression model: ``` glm(ced.del ~ cat + follows + I(class == 1), family=binomial("logit")) ``` Does the `I(class == 1)` mean...
Collapsing categorical data easily for regression in R
CC BY-SA 4.0
null
2011-01-26T02:41:40.690
2019-11-19T00:12:21.507
2019-11-19T00:12:21.507
11887
588
[ "r", "logistic", "categorical-encoding" ]
6563
1
null
null
18
3014
There is one variable in my data have 80% of missing data. The data is missing because of non-existence (i.e. how much bank loan the company owes). I came across an article saying that dummy variable adjustment method is the solution for this problem. Meaning that I need to transform this continuous variable to categor...
80% of missing data in a single variable
CC BY-SA 4.0
null
2011-01-26T02:53:22.350
2020-03-03T14:41:10.503
2020-03-03T14:41:10.503
11887
2793
[ "missing-data" ]
6564
2
null
6560
8
null
If the missing count were close to 22*12/17, the table would appear independent. This is consistent with your observations. If the missing count is far from this value, the table would exhibit strong lack of dependence. This, too, is consistent with your observations. Evidently your data cannot discriminate the two...
null
CC BY-SA 2.5
null
2011-01-26T03:22:22.153
2011-01-26T03:22:22.153
null
null
919
null
6565
2
null
6563
27
null
Are the data "missing" in the sense of being unknown or does it just mean there is no loan (so the loan amount is zero)? It sounds like the latter, in which case you need an additional binary dummy to indicate whether there is a loan. No transformation of the loan amount is needed (apart, perhaps, from a continuous r...
null
CC BY-SA 2.5
null
2011-01-26T03:27:01.367
2011-01-26T03:34:37.983
2011-01-26T03:34:37.983
919
919
null
6566
2
null
6562
4
null
This shows what the first is doing: ``` > class <- sample(1:5, 10, replace = TRUE) > class == 1 [1] TRUE FALSE FALSE FALSE TRUE TRUE TRUE FALSE TRUE TRUE > as.numeric(class == 1) [1] 1 0 0 0 1 1 1 0 1 1 > ## or better, > factor(as.numeric(class == 1)) [1] 1 0 0 0 1 1 1 0 1 1 Levels: 0 1 ``` `class == 1` is cr...
null
CC BY-SA 2.5
null
2011-01-26T09:07:10.353
2011-01-26T09:07:10.353
null
null
1390
null
6567
2
null
4466
4
null
I would recomend two things in addition to the excellent answers already present; - At Key points in your code, dump out the current data as a flat file, suitably named and described in comments, thus highlighting if one package has produced differing results where the differences have been introduced. These data fil...
null
CC BY-SA 2.5
null
2011-01-26T10:02:07.550
2011-01-26T10:02:07.550
null
null
114
null
6568
2
null
6176
16
null
For a really short introduction (seven page pdf), there's also this, intended to allow you to follow papers that use a bit of measure theory : [A Measure Theory Tutorial (Measure Theory for Dummies)](http://www.ee.washington.edu/research/guptalab/publications/MeasureTheoryTutorial.pdf). Maya R. Gupta. Dept of Electrica...
null
CC BY-SA 3.0
null
2011-01-26T11:09:56.750
2017-02-27T10:55:00.140
2017-02-27T10:55:00.140
10278
449
null