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Tags
list
9697
2
null
9685
1
null
Here is the code to do the chi square tests as well as generate a variety of test statistics. However, statistical tests of association of the table margins are useless here; the answer is obvious. No one does a statistical test to see if summer is hotter than winter. ``` Chompy<-matrix(c(30,10,1,31,20,10), 3, 2) Chom...
null
CC BY-SA 3.0
null
2011-04-18T19:18:55.227
2011-04-18T19:18:55.227
null
null
1893
null
9698
2
null
9692
5
null
You can use `lm()` instead of `aov()` in this case (the latter is a wrapper of the former). Here is an illustration: ``` n <- 100 A <- gl(2, n/2, n, labels=paste("a", 1:2, sep="")) B <- gl(2, n/4, n, labels=paste("b", 1:2, sep="")) # generate fake data for a balanced two-way ANOVA df <- data.frame(y=rnorm(n), A, B) sum...
null
CC BY-SA 3.0
null
2011-04-18T19:19:11.087
2011-04-18T19:19:11.087
null
null
930
null
9699
1
9700
null
46
98800
Is there a possibility to use R in a webinterface without the need to install it? I have only one small script which I like to run but I just want to give it a shot without a long installation procedure. Thank you.
Using R online - without installing it
CC BY-SA 3.0
null
2011-04-18T19:26:12.323
2020-09-14T18:19:07.250
null
null
230
[ "r" ]
9700
2
null
9699
23
null
Yes, there are some Rweb interface, like [this one](http://pbil.univ-lyon1.fr/Rweb/) (dead as of September 2020), RDDR [online REPL](https://rdrr.io/snippets/), or [Repl.it](https://repl.it/languages/). Note: Installation of the R software is pretty straightforward and quick, on any platform.
null
CC BY-SA 4.0
null
2011-04-18T19:35:38.070
2020-09-14T18:19:07.250
2020-09-14T18:19:07.250
930
930
null
9701
2
null
9666
2
null
I saw you said you prefer Python, but there are a bunch of R libraries for this, see Highest Density Region function: [http://cran.r-project.org/web/packages/hdrcde/hdrcde.pdf](http://cran.r-project.org/web/packages/hdrcde/hdrcde.pdf) The second iteration of your looking for the median wouldn't work, as your modes woul...
null
CC BY-SA 3.0
null
2011-04-18T19:42:11.797
2011-04-18T19:42:11.797
null
null
1893
null
9703
2
null
9662
1
null
You can use logistic regression. In SPSS the categorical variable (group A, B, or C) can be entered as a single variable using the contrast command, in which case one of the three will be designated as the reference category, or if you prefer you can create 2 dummy variables to account for the 3 groups. You would ru...
null
CC BY-SA 3.0
null
2011-04-18T19:55:39.293
2011-04-18T19:55:39.293
null
null
2669
null
9704
2
null
9666
2
null
Had to change my answer because I had trouble with `strucchange`, which doesn't seem to like hard changes. Maybe this code will help a bit. ``` library (robfilter) # Make phoney data... clock <- ts (rnorm (1000, 1, 0.03) * approx (1:10, rgamma (10, 1, 1, 1), seq (0.01, 10, 0.01), method="constant")$y) spike <- round (...
null
CC BY-SA 3.0
null
2011-04-18T20:21:42.377
2011-04-25T20:13:49.233
2011-04-25T20:13:49.233
1764
1764
null
9705
2
null
9626
0
null
Balanced designs have really just one goal, orthogonal treatment effects. Orthogonal design lowers the risk of unobservables sneaking into your effect estimates in an uneven way. See: [http://www1.umn.edu/statsoft/doc/statnotes/stat06.txt](http://www1.umn.edu/statsoft/doc/statnotes/stat06.txt) for an excellent discussi...
null
CC BY-SA 3.0
null
2011-04-18T20:28:17.657
2011-04-18T20:28:17.657
null
null
1893
null
9706
2
null
9541
2
null
The concept of numbers of parameters and hence df in the lmer model is kind of fuzzy. Don't bother with it, and use AICc; you stand on firmer theoretical ground: [http://warnercnr.colostate.edu/~anderson/PDF_files/TESTING.pdf](http://warnercnr.colostate.edu/~anderson/PDF_files/TESTING.pdf)
null
CC BY-SA 3.0
null
2011-04-18T20:33:07.297
2011-04-18T20:33:07.297
null
null
1893
null
9707
2
null
9699
8
null
[Sage](http://www.sagemath.org/) also has R included with a Python interface. The Sage system is available. Since a couple of years, the prefered way to run SageMath is via [CoCalc](https://www.cocalc.com/). It also allows you to run R directly, e.g. in a [Jupyter notebook using the R kernel](https://share.cocalc.com/s...
null
CC BY-SA 4.0
null
2011-04-18T20:38:17.917
2018-08-06T16:21:55.720
2018-08-06T16:21:55.720
13176
3911
null
9708
2
null
7775
1
null
Well, r^2 is really just covariance squared over the product of the variances, so you could probably do something like cov(Yfull, Ytrue)/var(Ytrue)var(Yfull) - cov(YReduced, Ytrue)/var(Ytrue)var(YRed) regardless of model type; check to verify that gives you the same answer in the lm case though. [http://www.stator-afm...
null
CC BY-SA 3.0
null
2011-04-18T20:45:12.783
2011-04-18T20:45:12.783
null
null
1893
null
9709
2
null
9699
8
null
Also, if you want to provide a solution to other users, you can set up a webserver with [RApache](http://rapache.net/).
null
CC BY-SA 3.0
null
2011-04-18T21:02:49.140
2011-04-18T21:02:49.140
null
null
582
null
9710
2
null
8147
1
null
Sums of bernoullis are distributed exactly binomial, so one often would use logistic regression.
null
CC BY-SA 3.0
null
2011-04-18T21:04:11.073
2011-04-18T21:04:11.073
null
null
1893
null
9711
2
null
9695
1
null
Not sure it gives a final answer to the question, but I would give a look at [this](http://cscs.umich.edu/~crshalizi/weblog/491.html). Especially point 2. See also the discussion in appendix A2 of the [paper](http://arxiv.org/abs/0706.1062).
null
CC BY-SA 3.0
null
2011-04-18T21:06:24.723
2011-04-18T21:06:24.723
null
null
4220
null
9712
1
9713
null
2
2204
I'm in the process of learning R, in the hope of replacing everything I do in SPSS/Sigmplot with R. It's going well so far :) I've got to the point of running a repeated-measures ANOVA, but have come unstuck when trying to plot the results I've worked out how to plot a set of means using ggplot2, but now I'm unsure of ...
How to add standard error to plots in ggplot2 with R?
CC BY-SA 3.0
null
2011-04-18T21:13:05.013
2011-04-18T21:50:00.160
null
null
4204
[ "r", "anova", "ggplot2" ]
9713
2
null
9712
2
null
The reason you're running into multiple methods is because the target variability to visualize in a repeated measures design is not necessarily that straightforward to determine. If you calculate the conventional SE then what you've done is give an estimate of how well you calculated the raw score. However, generally ...
null
CC BY-SA 3.0
null
2011-04-18T21:50:00.160
2011-04-18T21:50:00.160
null
null
601
null
9714
2
null
9693
3
null
Hopefully, modelling the dynamics of tumor progression qualifies for this: Anderson & Quaranta. [Integrative mathematical oncology](http://www.nature.com/nrc/journal/v8/n3/abs/nrc2329.html). Nature Reviews Cancer, 2008.
null
CC BY-SA 3.0
null
2011-04-18T22:04:17.970
2011-04-18T22:04:17.970
null
null
3770
null
9715
1
null
null
24
32579
I ran a multinomial logit model in JMP and got back results which included the AIC as well chi-squared p-values for each parameter estimate. The model has one categorical outcome and 7 categorical explanatory vars. I then fit what I thought would build the same model in R, using the `multinom` function in the [nnet](ht...
How to set up and estimate a multinomial logit model in R?
CC BY-SA 4.0
null
2011-04-18T22:35:27.610
2022-12-07T13:20:28.120
2022-09-08T03:12:06.697
11887
3984
[ "r", "logistic", "multinomial-distribution", "jmp" ]
9718
1
null
null
3
1673
If the correlation between demographic dissimilarity and satisfaction is $r=.-14$ and the partial correlation, with career development partialled out, between demographic dissimilarity and satisfaction is $r=-.06$ across a very large sample of size $n$, what is the appropriate test to determine if these correlations ar...
How to test whether correlation measures differ when controlling or not for a third variable?
CC BY-SA 3.0
null
2011-04-19T01:49:14.960
2011-04-20T14:01:56.807
2011-04-19T14:52:12.420
930
null
[ "correlation", "statistical-significance", "causality" ]
9720
2
null
9627
5
null
You cannot "systemically avoid this problem in the future", because it should not be called a "problem". If the reality of the material world features strong covariates, then we should accept it as fact and adjust our theories and models in consequence. I like the question very much, and hope that what follows will not...
null
CC BY-SA 3.0
null
2011-04-19T02:50:30.023
2011-04-19T02:50:30.023
null
null
3582
null
9721
2
null
9685
4
null
I am going to assume that "100% survival" means that your sites only contained a single organism. so 30 means 30 organisms died, and 31 means 31 organisms didn't. Based on this the chi-square should be fine, but it will only tell which hypothesis are not supported by the data - it won't tell you if two reasonable hypo...
null
CC BY-SA 3.0
null
2011-04-19T02:54:55.040
2011-04-19T02:54:55.040
null
null
2392
null
9722
2
null
9664
84
null
If the quantity of interest, usually a functional of a distribution, is reasonably smooth and your data are i.i.d., you're usually in pretty safe territory. Of course, there are other circumstances when the bootstrap will work as well. What it means for the bootstrap to "fail" Broadly speaking, the purpose of the boots...
null
CC BY-SA 3.0
null
2011-04-19T03:32:57.203
2011-04-20T02:08:28.043
2011-04-20T02:08:28.043
2970
2970
null
9723
2
null
4111
3
null
There are companies that specialize in counting people. For instance, [www.lynce.es](http://www.lynce.es)$^\dagger$ (I am not affiliated nor have any interest whatsoever in such company). They hung cameras over the groups they want to count, shoot pictures and actually count heads. They only make small adjustments when...
null
CC BY-SA 4.0
null
2011-04-19T05:09:08.220
2022-12-08T14:15:11.347
2022-12-08T14:15:11.347
362671
892
null
9724
1
13369
null
3
505
I'm hoping to hear from someone who has worked on mouse models or similar biological analyses where there is a tendency to run 'replicates' of an experiment. I know multiple testing is a sizeable kettle of fish which is definitely relevant to this discussion. I have some applications for projects where they talk about ...
Mouse models - 'replicates' and analysis
CC BY-SA 3.0
null
2011-04-19T05:19:00.737
2011-07-22T13:09:00.340
2011-06-20T19:19:31.947
82
4226
[ "repeated-measures", "multiple-comparisons", "experiment-design", "biostatistics" ]
9727
2
null
9507
0
null
To asnwer the first part of my question, does a flat initial guess lead to flat data, the answer would be "yes". Not only does having a flat guess flatten the result, it also makes it unchanging (a fact I missed thanks to a small error in my algorithm). Here's a proof: Assuming that $\langle R_{r\alpha} \rangle^{(t)} =...
null
CC BY-SA 3.0
null
2011-04-19T07:10:28.757
2011-04-20T06:52:07.723
2011-04-20T06:52:07.723
4141
4141
null
9728
1
null
null
1
295
Under what circumstances would using regression with two given variables not increase accuracy of prediction?
When is there no point in using regression?
CC BY-SA 3.0
null
2011-04-19T07:19:11.553
2011-04-29T05:14:44.927
2011-04-29T05:14:44.927
183
null
[ "regression" ]
9729
1
null
null
1
5321
I was given the following question: A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of error for this survey if we want 90% confidence in our estimate of the percent of American adults who approve of cloning endangered animals. I know that for 9...
How to compute margin of error with a given confidence interval?
CC BY-SA 3.0
null
2011-04-19T08:27:19.990
2011-04-19T12:50:04.660
2011-04-19T12:50:04.660
930
4228
[ "self-study", "sampling", "survey" ]
9731
1
null
null
4
263
> Possible Duplicate: Threshold for correlation coefficient to indicate statistical significance of a correlation in a correlation matrix ### Context I am doing an exploratory study to investigate the relationship between a drug (actually measured in two ways - by direct and indirect methods) and 15 various para...
Adjust a large set of Spearman correlation analyses for multiple testing
CC BY-SA 3.0
null
2011-04-19T08:55:24.803
2011-06-07T04:21:27.120
2017-04-13T12:44:26.710
-1
4229
[ "correlation", "multiple-comparisons", "spearman-rho" ]
9733
2
null
9728
5
null
When the model assumptions are valid, but the data are not correlated. When the model assumptions are invalid (e.g. the noise process is heteroskedastic) in which case a regression model may fit the data very well, but provide very poor out-of-sample predictions. See also the excellent point about extrapolation made by...
null
CC BY-SA 3.0
null
2011-04-19T09:43:04.257
2011-04-19T14:18:17.637
2011-04-19T14:18:17.637
887
887
null
9734
1
31748
null
4
603
Is it possible to use a continuous predictor in Bugs? The simplest way of doing this would be turning the size variable in alligators example from discrete to continuous. Both Winbugs and JAGS examples use combination of values of covariates as indices as in ``` X[i,j,] ~ dmulti( p[i,j,] , n[i,j] ); ``` where `i` i...
How to model logistic regression with continuous predictor in Bugs?
CC BY-SA 3.0
null
2011-04-19T09:47:27.687
2012-08-05T05:46:13.763
2011-04-19T12:53:18.977
930
3280
[ "bayesian", "logistic", "bugs" ]
9735
1
9866
null
8
1244
... (optional) within the context of Google Web Optimizer. Suppose you have two groups and a binary response variable. Now you get the following outcome: - Original: 401 trials, 125 successful trials - Combination16: 441 trials, 141 successful trials The difference is not statistically significant, however one can...
How does a frequentist calculate the chance that group A beats group B regarding binary response
CC BY-SA 3.0
null
2011-04-19T09:53:48.520
2011-05-06T11:17:56.070
2011-05-06T11:17:56.070
264
264
[ "bayesian", "ab-test" ]
9736
1
null
null
5
219
I have a time series (X) representing a natural phenomenon (wind speed, measured every 15 minutes) and I have to create similar time series (up to 20, Xdi, i=1,...,20) with the same structure (same average, same standard deviation, same percentiles distribution...) but with a predetermined correlation (about 0.7) betwe...
How to create n time series characterised by a defined average and correlation?
CC BY-SA 3.0
null
2011-04-19T11:00:41.787
2012-03-30T15:53:40.423
2011-04-21T13:57:37.540
4230
4230
[ "time-series", "correlation" ]
9737
2
null
9729
3
null
Because you are dealing with proportions, the variance is given by: $$\frac{p(1-p)}{n}$$ And so the 90% CI ME is equal to $1.645\times \sqrt{\frac{p(1-p)}{n}}=1.645\times \sqrt{\frac{0.89(1-0.89)}{1024}}=0.016$
null
CC BY-SA 3.0
null
2011-04-19T11:39:35.177
2011-04-19T11:39:35.177
null
null
2392
null
9738
1
null
null
5
2334
I am attempting to build a Multinomial Logit model with dummy variables of the following form: - The dependent variable represents 0-8 discrete choices. - Dummy Variable 1: 965 dummy vars - Dummy Variable 2: 805 dummy vars The data set I am using has the dummy columns pre-created, so it's a table of 72,381 rows an...
Problem building multinomial logit model formula on huge data in R
CC BY-SA 3.0
null
2011-04-19T12:22:14.087
2014-05-18T00:20:31.843
2014-05-18T00:07:35.877
7291
null
[ "r", "logistic", "multinomial-distribution" ]
9739
1
null
null
13
5738
I have a set of sea surface temperature (SST) monthly data and I want to apply some cluster methodology to detect regions with similar SST patterns. I have a set of monthly data files running from 1985 to 2009 and want to apply clustering to each month as a first step. Each file contains gridded data for 358416 points ...
Clustering spatial data in R
CC BY-SA 3.0
null
2011-04-19T13:16:03.780
2016-09-19T00:56:11.053
2011-04-20T12:48:42.013
null
4147
[ "r", "clustering", "spatial" ]
9740
2
null
9728
5
null
Considering the OLS case $$Y_{i}=\alpha+\beta X_{i}$$ One case is when you try to predict using values of $X_{i}$ outside your sample range (extrapolation). Say if your data had $1<X_{i}<10$ in the sample, and you try to predict for when a new value is $X=100$. In OLS you have a prediction interval for a new value $X_...
null
CC BY-SA 3.0
null
2011-04-19T13:23:26.303
2011-04-19T13:23:26.303
null
null
2392
null
9741
1
9782
null
5
1995
I'm interested in assessing model performance on data with an ordinal categorical dependent variable. For my use case, the ideal metric would: - Not assume equal intervals between classes or that recoding to a continuous scale is appropriate - Be scale independent - Give preference to models that rank the ou...
Model performance metrics for ordinal response
CC BY-SA 4.0
null
2011-04-19T13:57:46.837
2018-08-13T17:00:06.823
2018-08-13T17:00:06.823
7290
1611
[ "r", "model-selection", "predictive-models", "ordinal-data" ]
9742
2
null
4884
7
null
If the treatment is randomly assigned the aggregation won't matter in determining the effect of the treatment (or the average treatment effect). I use lowercase in the following examples to refer to disaggregated items and uppercase to refer to aggregated items. Lets a priori state a model of individual decision making...
null
CC BY-SA 3.0
null
2011-04-19T14:14:37.803
2011-06-23T17:24:00.630
2011-06-23T17:24:00.630
1036
1036
null
9743
2
null
9629
6
null
Using the extra information you gave (being that quite some of the values are 0), it's pretty obvious why your solution returns nothing. For one, you have a probability that is 0, so : - $e_i$ in the solution of Henry is 0 for at least one i - $np_i$ in the solution of @probabilityislogic is 0 for at least one i Wh...
null
CC BY-SA 4.0
null
2011-04-19T14:48:08.320
2022-01-02T13:36:16.320
2022-01-02T13:36:16.320
11887
1124
null
9744
1
9793
null
5
1587
I'm trying to understand the following claim: > if the $t$-statistic is greater than zero, it indicates that the variable is explosive... but does that mean it has unit root? In the context of Dickey Fuller test.
What is explosive variable?
CC BY-SA 3.0
null
2011-04-19T15:01:13.000
2011-04-20T15:56:42.650
2011-04-20T15:56:42.650
2645
333
[ "hypothesis-testing", "stationarity" ]
9745
1
9746
null
6
4272
How would you go about explaining "Stambaugh Bias" in simple relatively non-technical language?
Stambaugh bias definition
CC BY-SA 4.0
null
2011-04-19T15:23:56.890
2021-02-15T07:23:27.413
2021-02-15T07:23:27.413
53690
333
[ "time-series", "autocorrelation", "bias" ]
9746
2
null
9745
7
null
I'm not sure you can explain this term without using some technical terms, unfortunately. I'll give it my best shot. Some definitions first: - Bias: the difference between the expectation of an estimator and the true value of the parameter you're estimating. - OLS: Ordinary Least Squares; a method for solving a regre...
null
CC BY-SA 3.0
null
2011-04-19T15:37:25.683
2011-04-19T15:37:25.683
null
null
781
null
9747
2
null
9667
14
null
If you're coming from a mathematics background, and you want to learn time series, it's hard to go wrong with a combination of: - The Analysis of Time Series (Chatfield): introduction at the undergraduate level - Fourier Analysis of Time Series (Bloomfield): introduction to Fourier methods at the undergraduate level ...
null
CC BY-SA 3.0
null
2011-04-19T15:57:14.973
2011-04-19T15:57:14.973
null
null
781
null
9748
1
9750
null
3
445
First of all, I’m new to statistics and this is the first time I am trying to apply it to a real world problem. I am doing analysis of a series of observations of a variable over all weeks of a year. During certain weeks an event happened that I believe has impacted the variable and I want to check for this. The value...
Can I split a series of observations of a variable over time into two groups instead of working with time series?
CC BY-SA 3.0
null
2011-04-19T15:59:49.677
2011-04-20T08:37:56.523
2011-04-20T08:37:56.523
4233
4233
[ "time-series", "statistical-significance", "mean", "t-test" ]
9749
1
null
null
1
3859
I have a set of data that are binomial, and am comparing them across 9 years. The first 5 years have low sample sizes ($~n=20$) and the last 4 have $n>100$. I've run a glm in R with the family set to "binomial", and the results look reasonable. However, when I did the multiple comparisons afterwards using the [multcomp...
Binomial GLM post-hoc tests for unequal sample sizes
CC BY-SA 4.0
null
2011-04-19T16:14:33.530
2018-08-11T15:14:28.243
2018-08-11T15:14:28.243
11887
4238
[ "r", "binomial-distribution", "generalized-linear-model", "post-hoc" ]
9750
2
null
9748
2
null
Your reasoning sounds reasonable to me, although I have the feeling you are stretching the independence assumptions of t tests a little. Therefore, you should keep two things in mind. First, the size of both groups (weeks with event versus weeks without event) should be comparable. E.g., 20 versus 30. would be fine I g...
null
CC BY-SA 3.0
null
2011-04-19T16:25:56.253
2011-04-19T16:25:56.253
null
null
442
null
9751
1
null
null
69
26610
I often hear that post hoc tests after an ANOVA can only be used if the ANOVA itself was significant. - However, post hoc tests adjust $p$-values to keep the global type I error rate at 5%, don't they? - So why do we need the global test first? - If we don't need a global test is the terminology "post hoc" correc...
Do we need a global test before post hoc tests?
CC BY-SA 3.0
null
2011-04-19T16:51:22.190
2016-09-06T20:40:41.843
2016-09-06T20:40:41.843
49647
4176
[ "anova", "statistical-significance", "post-hoc" ]
9752
1
9754
null
4
398
I have a large set of customer data. For these customers, I have devised a customer loyalty score which is a measure of the loyalty of the customer. I want to find the features that are strongly associated/correlated with this score. Features could be number of purchases at various merchant types. One obvious answer...
Suggestions for identifying key features
CC BY-SA 3.0
null
2011-04-19T17:18:10.903
2011-04-20T12:50:21.000
2011-04-20T12:50:21.000
null
4235
[ "correlation", "feature-selection" ]
9753
2
null
9751
29
null
(1) Post hoc tests might or might not achieve the nominal global Type I error rate, depending on (a) whether the analyst is adjusting for the number of tests and (b) to what extent the post-hoc tests are independent of one another. Applying a global test first is pretty solid protection against the risk of (even inadv...
null
CC BY-SA 3.0
null
2011-04-19T17:22:09.467
2011-04-19T17:22:09.467
null
null
919
null
9754
2
null
9752
2
null
I understand that the loyalty score is calculated on the strength of some data. If your features include components that are used in calculating the loyalty score they will prove evidently influential. Multivariate techniques are probably more useful than pairwise correlations: - they can detect weaker features that m...
null
CC BY-SA 3.0
null
2011-04-19T17:58:00.073
2011-04-19T17:58:00.073
null
null
3911
null
9755
2
null
9752
1
null
Sounds like Business Intelligence work (http://en.wikipedia.org/wiki/Business_intelligence). Could you confirm if it's a customer database or a survey that you ran? Both? Is it from a CRM database? Are customers segmented? Demographically/Physcographically? We need more detail as to what you have. If it's a customer d...
null
CC BY-SA 3.0
null
2011-04-19T18:01:06.623
2011-04-19T18:01:06.623
null
null
776
null
9756
1
null
null
6
724
I have trained an SVM Regression model using training data, $x_1,x_2,\dots,x_N$. I want to perform active learning to improve the model; i.e., I want to add more samples to the training data and relearn a better model, and to choose these new samples in such a way as to maximize the resulting model performance. For an ...
Active learning using SVM Regression
CC BY-SA 3.0
null
2011-04-19T18:10:25.063
2013-11-14T04:09:49.783
2011-04-20T13:00:49.357
null
4218
[ "regression", "cross-validation", "svm" ]
9757
2
null
9756
7
null
Active learning requires a compromise between exploration and exploitation. If the model you have so far is bad, if you exploit this model to determine the best place to label mode data, it will probably suggest bad places to label the data as your current hypothesis is poor. It is a good idea to do some random explo...
null
CC BY-SA 3.0
null
2011-04-19T18:20:25.197
2011-04-19T18:20:25.197
null
null
887
null
9758
2
null
9752
1
null
In addition to the suggestions from the previous answers, I would suggest the `catdes` function from the [FactoMineR](ftp://ftp.ccu.edu.tw/pub/languages/CRAN/web/packages/FactoMineR/FactoMineR.pdf) package in R. It gives a description of the categories of one factor by qualitative variables and/or by quantitative varia...
null
CC BY-SA 3.0
null
2011-04-19T18:24:28.563
2011-04-19T18:37:16.410
2011-04-19T18:37:16.410
3019
3019
null
9759
1
9798
null
16
13573
I am about to dive into learning R and my learning project will entail applying mixed- or random-effects regression to a dataset in order to develop a predictive equation. I share the concern of the writer in this post [How to choose nlme or lme4 R library for mixed effects models?](https://stats.stackexchange.com/que...
Can someone shed light on linear vs. nonlinear mixed-effects?
CC BY-SA 4.0
null
2011-04-19T18:46:18.587
2019-12-18T22:21:17.723
2019-12-18T22:21:17.723
92235
4237
[ "r", "regression", "random-effects-model" ]
9760
2
null
9759
1
null
For the linear-nonlinear part, see: [CrossValidated article on the topic](https://stats.stackexchange.com/questions/8689/what-does-linear-stand-for-in-linear-regression), particularly the second-ranked answer by Charlie. I don't think there are any changes when dealing with mixed effects.
null
CC BY-SA 3.0
null
2011-04-19T20:00:02.607
2011-04-19T20:00:02.607
2017-04-13T12:44:35.347
-1
1764
null
9763
1
null
null
12
8263
A typical image processing statistic is the use of [Haralick texture features](http://murphylab.web.cmu.edu/publications/boland/boland_node26.html), which are 14. I am wondering about the 14th of these features: Given an adjacency map $P$ (which we can simply view an the empirical distribution of two integers $i,j < 25...
What is this "maximum correlation coefficient"?
CC BY-SA 3.0
null
2011-04-19T22:41:27.670
2013-01-02T15:30:52.380
null
null
2067
[ "probability", "computational-statistics" ]
9764
2
null
9752
4
null
One way to reformulate your problem is the following: you want to select a small set of features that predict well the loyalty score, using a linear model for example. This problem is called (best) subset selection. Suppose that you want to pick k features. The first way to do it is to test all the subsets of k featur...
null
CC BY-SA 3.0
null
2011-04-19T23:17:10.557
2011-04-19T23:22:28.073
2011-04-19T23:22:28.073
4241
4241
null
9765
2
null
9718
2
null
For this particular case there's not much of a difference to work with in practical terms, but for the general case, I'm going to go out on a limb and guess that there is no way to conduct a strict test of significance. The partial correlation will be a direct function of the correlations among the 3 variables. Depen...
null
CC BY-SA 3.0
null
2011-04-20T00:20:29.863
2011-04-20T00:20:29.863
null
null
2669
null
9766
1
9771
null
4
2460
I have a question which asks: > Determine those values of the positive integer n for which a finite nth moment of X about zero exists. How should I approach this question? Does it depend on the numbers of variables in X? I think that a first moment exists if the mean exists, and the second moment exists if the varia...
Determine whether a n-th finite moment of X exists
CC BY-SA 3.0
null
2011-04-20T02:46:09.323
2019-08-20T15:14:52.237
2011-04-20T13:00:27.937
null
null
[ "self-study", "moments" ]
9767
1
null
null
6
1874
Could anyone provide some suggestions on how to generate over-dispersed counts data with serial correlations? I am using R software to conduct a simulation study. Any references on this subject will be much appreciated. Thanks for your help.
Generating over-dispersed counts data with serial correlation
CC BY-SA 3.0
null
2011-04-20T03:13:26.073
2011-04-20T13:03:57.170
null
null
2742
[ "r", "time-series", "distributions", "poisson-distribution", "simulation" ]
9768
2
null
9724
1
null
The first thing that comes to my mind when I read of the approach that you describe is that there is a miss-match between the idea of replicating an experiment and the use of "success" and "failure" as descriptors of the outcomes. Presumably a success would be a result that is significant in the Neyman-Pearson paradigm...
null
CC BY-SA 3.0
null
2011-04-20T03:18:45.590
2011-04-20T03:18:45.590
null
null
1679
null
9770
2
null
9766
3
null
It seems for me that the question is ill-posted if there is no additional context about $X$ distribution or at least the family of distribution it belongs to (Student $t$, [Pareto](http://en.wikipedia.org/wiki/Pareto_distribution), [Cauchy](http://en.wikipedia.org/wiki/Cauchy_distribution)). For instance for normal dis...
null
CC BY-SA 3.0
null
2011-04-20T07:14:14.310
2011-04-20T07:14:14.310
null
null
2645
null
9771
2
null
9766
5
null
If you have the probability density function $f$ of the random variable, then it is a matter of checking for which $n$ the integral $$\int_{\mathbb{R}}x^nf(x)dx<\infty$$ This is then the standard exercise in real analysis. Alternatively if you know the [characteristic function](http://en.wikipedia.org/wiki/Characteris...
null
CC BY-SA 4.0
null
2011-04-20T08:13:14.423
2019-08-20T15:14:52.237
2019-08-20T15:14:52.237
95370
2116
null
9772
2
null
9767
2
null
This is one way to do it: ``` v = rnorm(1, 30, 10) for (i in 2:30) v = c(v, 0.5*v[i-1] + 0.5*rnorm(1, 30, 10)) round(v) ```
null
CC BY-SA 3.0
null
2011-04-20T08:51:38.153
2011-04-20T08:51:38.153
null
null
3911
null
9774
1
null
null
6
258
For many years I have been conducting t-tests on response to mailing activity. Recently I was challenged that we should infact be conducting tests on profit rather than response. So, let me put this in context. If you have two groups of customers of sample size 10,000 each that you were mailing two different offers. On...
Given two responses for two groups, how to decide what to test on response or profit?
CC BY-SA 3.0
null
2011-04-20T10:01:59.467
2011-04-21T00:40:09.410
2011-04-20T16:40:37.660
919
null
[ "t-test", "decision-theory" ]
9775
1
9780
null
1
3971
Given a data-frame: ``` d1 <-c("A","B","C","A") d2 <-c("A","V","C","F") d3 <-c("B","V","E","F") d4 <-c("A","B","C","A") data.frame(d1,d2,d3,d4) d1 d2 d3 d4 1 A A D A 2 B V B B 3 C C C C 4 A F A A ``` Also given that each row may have a unique pattern such that the occurrence of the values A,D,A (firs...
Manipulating and searching data-frames
CC BY-SA 3.0
null
2011-04-20T12:02:33.307
2011-04-20T12:55:50.920
2011-04-20T12:13:27.853
2116
18462
[ "r" ]
9777
2
null
9738
2
null
Well, you are just exhausting RAM on your machine. Generally, you have four options: - Fetch a bigger computer (rather a bad idea, since it is rather impossible to push more than few hundred GB in one node). - Limit your problem. - Look for HPC version of multinomial logit, probably outside R -- using sparse matrice...
null
CC BY-SA 3.0
null
2011-04-20T12:43:40.830
2011-04-20T12:43:40.830
null
null
null
null
9778
1
null
null
10
577
Most clustering algorithms I've seen start with creating a each-to-each distances among all points, which becomes problematic on larger datasets. Is there one that doesn't do it? Or does it in some sort of partial/approximate/staggered approach? Which clustering algorithm/implemention takes less than O(n^2) space? Is ...
Space-efficient clustering
CC BY-SA 3.0
null
2011-04-20T12:44:27.060
2012-07-15T09:33:33.173
null
null
595
[ "clustering", "algorithms", "large-data" ]
9779
1
9819
null
1
6559
I asked a question on StackOverflow for which I was suggested to use Kalman Filter. The question is as follows: [https://stackoverflow.com/questions/5726358/what-class-of-algorithms-reduce-margin-of-error-in-continuous-stream-of-input/5728373#5728373](https://stackoverflow.com/questions/5726358/what-class-of-algorithms...
How to apply Kalman filter to one dimensional data?
CC BY-SA 3.0
null
2011-04-20T12:54:43.323
2011-04-21T09:39:02.513
2017-05-23T12:39:26.523
-1
4251
[ "kalman-filter" ]
9780
2
null
9775
3
null
Suppose the entries to data.frame contain single uppercase letters. Suppose that we have a vector containing the patterns and that only one pattern can be in one row. ``` d1 <-c("A","B","C","A") d2 <-c("A","V","C","F") d3 <-c("B","V","E","F") d4 <-c("A","B","C","A") dd <- data.frame(d1,d2,d3,d4) > dd d1 d2 d3 d4 1 ...
null
CC BY-SA 3.0
null
2011-04-20T12:55:50.920
2011-04-20T12:55:50.920
null
null
2116
null
9781
2
null
9573
60
null
The central limit theorem is less useful than one might think in this context. First, as someone pointed out already, one does not know if the current sample size is "large enough". Secondly, the CLT is more about achieving the desired type I error than about type II error. In other words, the t-test can be uncompet...
null
CC BY-SA 3.0
null
2011-04-20T12:59:07.080
2011-04-20T12:59:07.080
null
null
4253
null
9782
2
null
9741
12
null
A good measure is Somers' Dxy rank correlation, a generalization of ROC area for ordinal or continuous Y. It is computed for ordinal proportional odds regression in the lrm function in the rms package.
null
CC BY-SA 3.0
null
2011-04-20T13:03:50.337
2011-04-20T13:03:50.337
null
null
4253
null
9783
2
null
9767
6
null
A standard way of generating overdispersed count data is to generate data from a Poisson distribution with a random mean: $Y_i\sim Poisson(\lambda_i)$, $\lambda_i \sim F$. For example, if $\lambda_i$ has a Gamma distribution, you will get the negative binomial distribution for $Y$. You can easily impose serial correla...
null
CC BY-SA 3.0
null
2011-04-20T13:03:57.170
2011-04-20T13:03:57.170
null
null
279
null
9784
2
null
9778
5
null
K-Means and Mean-Shift use the raw sample descriptors (no need to pre-compute an affinity matrix). Otherwise, for spectral clustering or power iteration clustering, you can use a sparse matrix representation (e.g. Compressed Sparse Rows) of the k-nearest-neighbours affinity matrix (for some distance or affinity metric)...
null
CC BY-SA 3.0
null
2011-04-20T13:38:13.817
2011-04-20T13:38:13.817
null
null
2150
null
9785
1
null
null
8
6497
Rob Tibshirani propose to use lasso with Cox regression for variable selection in his 1997 paper "The lasso method for variable selection in the Cox model" published in Statistics In Medicine 16:385. Does anyone know of any R package/function or syntax in R that does lasso with a Cox model?
Cox model with LASSO
CC BY-SA 3.0
null
2011-04-20T13:46:29.630
2022-02-02T13:46:05.007
2022-02-02T13:46:05.007
53690
null
[ "r", "regression", "survival", "lasso", "cox-model" ]
9786
1
null
null
1
132
I want to test the hypothesis of a decreased level of vitamin D in diabetic subjects. For this I have recorded blood glucose and vitamin D levels in 40 cases and 40 controls. What kind of statistical test can I use to the above hypothesis?
How to compare vitamin D and glucose levels between patients and controls?
CC BY-SA 3.0
null
2011-04-20T13:47:25.053
2011-04-20T15:28:56.520
2011-04-20T13:52:18.920
930
null
[ "hypothesis-testing" ]
9787
2
null
9785
9
null
Here are two suggestions. First, you can take a look at the [glmnet](http://cran.r-project.org/web/packages/glmnet/index.html) package, from Friedman, Hastie and Tibshirani, but see their JSS 2010 (33) paper, [Regularization Paths for Generalized Linear Models via Coordinate Descent](http://www.jstatsoft.org/v33/i01/pa...
null
CC BY-SA 3.0
null
2011-04-20T14:01:49.567
2011-04-20T14:01:49.567
null
null
930
null
9788
2
null
9718
2
null
I don't doubt a particular test statistic aiming to accomplish what your asking for exists, but I will offer some alternatives that you may be interested in that offer different answers (but probably still interesting) given the nature of the question. Like Rolando already stated, the extent to which the partial correl...
null
CC BY-SA 3.0
null
2011-04-20T14:01:56.807
2011-04-20T14:01:56.807
null
null
1036
null
9789
2
null
9774
5
null
The reason why you are conducting this test is to determine which policy is more valuable, and if value is measured in profitability, then it makes no sense to do statistical testing on any other variable. A properly conducted test on profitability gives you all the information needed for your companies' decision: onc...
null
CC BY-SA 3.0
null
2011-04-20T14:05:00.977
2011-04-21T00:40:09.410
2011-04-21T00:40:09.410
3567
3567
null
9790
2
null
7959
3
null
I'd look at quantile regression. You can use it to determine a parametric estimate of whichever quantiles you want to look at. It make no assumption regarding normality, so it handles heteroskedasticity pretty well and can be used one a rolling window basis. It's basically an L1-Norm penalized regression, so it's not t...
null
CC BY-SA 3.0
null
2011-04-20T14:39:35.683
2011-04-20T19:09:57.173
2011-04-20T19:09:57.173
3737
3737
null
9791
2
null
9779
0
null
I believe that for the Kalman Filter, you'll need to clarify your "can be off by 2 points" into something like, "error is normal with mean 0 and standard deviation of 0.8". Also, I believe that the usual statement of the Kalman Filter assumes you have a model that would predict how the actual value changes over time. (...
null
CC BY-SA 3.0
null
2011-04-20T15:00:21.363
2011-04-20T15:00:21.363
null
null
1764
null
9792
2
null
9786
2
null
Generally this sound like a simple [t-test](http://en.wikipedia.org/wiki/T-test). That is, you have two groups (diabetics and controls) and you measured 1 variable (Vitamin D). However, some more context/information about your data will lead to a lot better answers. For example, please answer chl's comment. Second, wha...
null
CC BY-SA 3.0
null
2011-04-20T15:28:56.520
2011-04-20T15:28:56.520
null
null
442
null
9793
2
null
9744
5
null
First of all it could be useful to read a bit about the [unit root](http://en.wikipedia.org/wiki/Unit_root) problem (you may start from the hypothesis section). So the nature of the explosiveness (exponential growth) is what matters. Roughly the growth could be explained either by deterministic part (for example linear...
null
CC BY-SA 3.0
null
2011-04-20T15:31:31.433
2011-04-20T15:31:31.433
null
null
2645
null
9794
1
9816
null
7
313
Let's say I have two time series, one of which updates more frequently than the other: $x_0,x_1,x_2,\dots,x_t,\dots$ $y_0,y_{10},y_{20},\dots,y_{10t},\dots$ I want to fit a model to this that predicts $y$ from $x$ (and possibly from previous values of $y$) at each of the values $1,2,3,\dots$, i.e. it gives a prediction...
Time series factor model with one series more frequent
CC BY-SA 3.0
null
2011-04-20T15:41:51.503
2019-07-23T19:18:54.480
2019-07-23T19:18:54.480
11887
2425
[ "regression", "time-series", "predictive-models", "unevenly-spaced-time-series" ]
9795
1
null
null
1
3118
> Possible Duplicate: Supervised learning with “rare” events, when rarity is due to the large number of counter-factual events I am trying to predict diabetes using the [BRFSS dataset](http://www.cdc.gov/brfss/) by using a supervised learning classification model. But I see that the target variable which is having ...
How to handle skewed binary target variables?
CC BY-SA 3.0
null
2011-04-20T16:16:38.850
2012-01-20T01:38:40.197
2017-04-13T12:44:33.310
-1
3897
[ "machine-learning", "sampling", "unbalanced-classes" ]
9796
2
null
9794
4
null
I would cast the model in state-space form. Then there is no problem if one of the variables is observed more frequently than the other, or the observation times are irregular: the Kalman filter deals with missing and partially observed variables gracefully. Without details on the exact kind of relationships you aim to...
null
CC BY-SA 3.0
null
2011-04-20T16:56:56.410
2011-04-20T16:56:56.410
null
null
892
null
9797
1
24654
null
8
521
I have the following data, representing the binary state of four subjects at four times, note that it is only possible for each subject to transition $0\to 1$ but not $1\to 0$: ``` testdata <- data.frame(id = c(1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4,1,2,3,4), day = c(1,1,1,1,8,8,8,8,16,16,16,16,24,24,24...
How can I estimate the time at which 50% of a binomial variable will have transitioned?
CC BY-SA 3.0
null
2011-04-20T17:20:17.850
2012-03-14T22:31:10.687
2011-11-15T15:28:22.663
1381
1381
[ "logistic", "censoring", "interval-censoring" ]
9798
2
null
9759
18
null
There are several distinctions between linear and nonlinear regression models, but the primary mathematical one is that linear models are linear in the parameters, whereas nonlinear models are nonlinear in the parameters. Pinheiro and Bates (2000, pp. 284-285), authors of the `nlme` R package, elegantly described the m...
null
CC BY-SA 3.0
null
2011-04-20T17:21:42.293
2011-04-20T17:21:42.293
null
null
3964
null
9799
2
null
9779
0
null
I found a nice simple introductory example of a Kalman filter (coded in matlab) [here](http://www.mathworks.com/matlabcentral/fileexchange/5377-learning-the-kalman-filter). The example the author provides in this code is on one dimensional data. Hopefully this will at least give you a starting point for figuring out h...
null
CC BY-SA 3.0
null
2011-04-20T18:21:57.773
2011-04-20T18:21:57.773
null
null
1913
null
9800
2
null
9751
74
null
Since multiple comparison tests are often called 'post tests', you'd think they logically follow the one-way ANOVA. In fact, this isn't so. > "An unfortunate common practice is to pursue multiple comparisons only when the hull hypothesis of homogeneity is rejected." (Hsu, page 177) Will the results of post tests be ...
null
CC BY-SA 3.0
null
2011-04-20T18:35:24.807
2011-04-20T18:35:24.807
null
null
25
null
9801
1
9802
null
10
11550
I'm trying to understand matrix notation, and working with vectors and matrices. Right now I'd like to understand how the vector of coefficient estimates $\hat{\beta}$ in multiple regression is computed. The basic equation seems to be $$ \frac{d}{d\boldsymbol{\beta}} (\boldsymbol{y}-\boldsymbol{X\beta})'(\boldsymbo...
Analytical solution to linear-regression coefficient estimates
CC BY-SA 3.0
null
2011-04-20T18:39:30.667
2021-11-22T04:52:33.890
2011-04-29T00:54:40.567
3911
2091
[ "regression" ]
9802
2
null
9801
13
null
We have $\frac{d}{d\beta} (y - X \beta)' (y - X\beta) = -2 X' (y - X \beta)$. It can be shown by writing the equation explicitly with components. For example, write $(\beta_{1}, \ldots, \beta_{p})'$ instead of $\beta$. Then take derivatives with respect to $\beta_{1}$, $\beta_{2}$, ..., $\beta_{p}$ and stack everything...
null
CC BY-SA 3.0
null
2011-04-20T19:04:57.233
2011-04-21T14:16:35.683
2011-04-21T14:16:35.683
2129
3019
null
9803
2
null
9797
0
null
We know that the $t_1$ transition time (from state 0 to state 1) of subject `id=1` was between two boundaries: $24<t_1<32$. An approximation is to assume that $t_1$ may have taken values within this range with uniform probability. Resampling the $t_i$ values we can get an approximate distribution of $\text{median}(t_i)...
null
CC BY-SA 3.0
null
2011-04-20T19:17:19.013
2011-04-20T23:40:21.120
2011-04-20T23:40:21.120
3911
3911
null
9805
2
null
8511
6
null
if deviance were proportional to log likelihood, and one uses the definition (see for example McFadden's [here](http://www.ats.ucla.edu/stat/mult_pkg/faq/general/psuedo_rsquareds.htm)) ``` pseudo R^2 = 1 - L(model) / L(intercept) ``` then the pseudo-$R^2$ above would be $1 - \frac{198.63}{958.66}$ = 0.7928 The questio...
null
CC BY-SA 3.0
null
2011-04-20T20:08:26.750
2017-12-02T22:32:21.847
2017-12-02T22:32:21.847
128677
2849
null
9806
2
null
9797
-1
null
Assuming that you will have more data of the same structure you will be able to use the [actuarial (life table) method](http://en.wikipedia.org/wiki/Life_table) to estimate median survival.
null
CC BY-SA 3.0
null
2011-04-20T21:47:11.837
2011-04-20T21:56:31.867
2011-04-20T21:56:31.867
919
3911
null
9807
1
null
null
1
30439
I performed a survey using a Likert 1 to 5 scale (totally agree/agree/neutral/ disagree/totally disagree) on 12 questions which are split into 3 statements which the respondent places a value of between 1 to 5 dependent on how much they agree or disagree - there are 36 statements in total. Respondents: ``` Group 1 ...
Working with Likert scales in SPSS
CC BY-SA 3.0
0
2011-04-20T22:57:58.130
2016-10-25T01:51:39.020
2011-04-22T08:01:01.770
183
4262
[ "spss", "likert" ]
9808
2
null
8511
61
null
Don't forget the [rms](http://cran.r-project.org/web/packages/rms/index.html) package, by Frank Harrell. You'll find everything you need for fitting and validating GLMs. Here is a toy example (with only one predictor): ``` set.seed(101) n <- 200 x <- rnorm(n) a <- 1 b <- -2 p <- exp(a+b*x)/(1+exp(a+b*x)) y <- factor(i...
null
CC BY-SA 3.0
null
2011-04-20T23:21:07.663
2011-04-20T23:27:35.910
2011-04-20T23:27:35.910
930
930
null
9809
1
9890
null
5
2002
Does anyone know of a good resource listing known tricks (with examples?) for calculating closed form expressions from messy expectations? (e.g., moment generating function, law of iterated expectations, change of measure, etc.) In a different setting, I've found [Summary of Rules for Identifying ARIMA Models](http://...
A list of tricks for calculating expectations?
CC BY-SA 3.0
null
2011-04-20T23:35:57.413
2018-10-28T13:26:39.690
2018-10-28T13:26:39.690
11887
3577
[ "references", "expected-value", "moment-generating-function" ]
9810
1
null
null
1
1156
I want to compare if three groups are different by a non-parametric test. Now..., the problem is that two groups are paired (prior to treatment and one-year after treatment), and the (reference) group is other healthy individuals. Is there a simple solution? I am using R,
Which non-parametric test for difference between three groups, of which two are paired?
CC BY-SA 3.0
null
2011-04-20T23:49:40.123
2011-06-17T13:49:51.740
null
null
4229
[ "multiple-comparisons", "nonparametric" ]