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Tags
list
7457
1
7458
null
13
250810
I'm trying to normalize a set of columns of data in an excel spreadsheet. I need to get the values so that the highest value in a column is = 1 and lowest is = to 0, so I've come up with the formula: `=(A1-MIN(A1:A30))/(MAX(A1:A30)-MIN(A1:A30))` This seems to work fine, but when I drag down the formula to populate the ...
How to stop excel from changing a range when you drag a formula down?
CC BY-SA 2.5
null
2011-02-21T16:54:06.813
2013-01-30T20:54:57.593
2011-02-21T19:04:33.937
919
3348
[ "excel" ]
7458
2
null
7457
44
null
A '$' will lock down the reference to an absolute one versus a relative one. You can lock down the column, row or both. Here is a locked down absolute reference for your example. ``` (A1-MIN($A$1:$A$30))/(MAX($A$1:$A$30)-MIN($A$1:$A$30)) ```
null
CC BY-SA 2.5
null
2011-02-21T17:02:21.187
2011-02-21T17:02:21.187
null
null
2040
null
7459
2
null
7450
15
null
Update: 7 Apr 2011 This answer is getting quite long and covers multiple aspects of the problem at hand. However, I've resisted, so far, breaking it into separate answers. I've added at the very bottom a discussion of the performance of Pearson's $\chi^2$ for this example. --- Bruce M. Hill authored, perhaps, the "s...
null
CC BY-SA 3.0
null
2011-02-21T17:31:02.337
2011-04-08T01:51:15.640
2011-04-08T01:51:15.640
2970
2970
null
7460
2
null
7224
5
null
If you want to do it yourself, I would recommend using Intel's free and open source OpenCV (CV for computer vision) project. [http://opencv.willowgarage.com/](http://opencv.willowgarage.com/) [http://oreilly.com/catalog/9780596516130](http://oreilly.com/catalog/9780596516130)
null
CC BY-SA 2.5
null
2011-02-21T18:23:19.980
2011-02-21T18:23:19.980
null
null
74
null
7461
2
null
6870
3
null
Thanks for the tips David. I posted this question on the JAGS support forum and got a useful answer. The key was to use a two dimensional array for the 'true' values. ``` for (j in 1:n){ x_obs[j] ~ dnorm(xy_true[j,1], prec_x)T(xy_true[j,1],) y_obs[j] ~ dnorm(xy_true[j,2], prec_y) xy_true[j, ] ~ dmnorm(mu[ z [...
null
CC BY-SA 2.5
null
2011-02-21T18:53:41.467
2011-02-21T18:53:41.467
null
null
2310
null
7462
2
null
6653
1
null
Check out the stats nerds at [Football Outsiders](http://www.footballoutsiders.com/info/methods) as well as the book [Mathletics](http://rads.stackoverflow.com/amzn/click/069113913X) for some inspiration. The Football Outsiders guys make game predictions based on every play in a football game. Winston in Mathletics us...
null
CC BY-SA 2.5
null
2011-02-21T19:22:09.767
2011-02-21T19:22:09.767
null
null
74
null
7465
2
null
6538
5
null
I would go to the curriculum websites of the top stats schools, write down the books they use in their undergrad courses, see which ones are highly rated on Amazon, and order them at your public/university library. Some schools to consider: - MIT - technically, cross-taught with Harvard. - Caltech - Carnegie Mellon...
null
CC BY-SA 2.5
null
2011-02-21T19:51:03.823
2011-02-22T00:26:09.117
2011-02-22T00:26:09.117
74
74
null
7466
1
7468
null
6
2286
I want to cluster elements in array. The crucial difference from a normal clustering algorithm is that the order of elements is significant. For instance if we look at a simple sequence of numbers like this: ``` 1.1, 1.2, 1.0, 3.3, 3.3, 2.9, 1.0, 1.1, 3.0, 2.8, 3.2 ``` It is obvious that there are two clusters in ther...
Sequential clustering algorithm
CC BY-SA 2.5
null
2011-02-21T20:09:05.493
2011-02-21T20:28:50.977
null
null
255
[ "clustering" ]
7467
1
7472
null
18
13329
Background I am overseeing the input of data from primary literature into a [database](http://ebi-forecast.igb.illinois.edu/). The data entry process is error prone, particularly because users must interpret experimental design, extract data from graphics and tables, and transform results to standardized units. Data ar...
Quality assurance and quality control (QA/QC) guidelines for a database
CC BY-SA 3.0
null
2011-02-21T20:24:52.310
2016-08-18T18:36:49.497
2016-08-18T18:36:49.497
22468
1381
[ "dataset", "meta-analysis", "quality-control", "database" ]
7468
2
null
7466
0
null
Constrained clustering maintains data order. There is a package in R called 'rioja' that implements this in the function 'chclust'. The procedure isn't too complex though: - Calculate inter-point distance - Find the smallest distance between adjacent points - Average the value of the two points to generate a single...
null
CC BY-SA 2.5
null
2011-02-21T20:28:50.977
2011-02-21T20:28:50.977
null
null
null
null
7469
2
null
4805
4
null
The classical transformations include the log, sqrt, and inverse (1/Y) transformations. More sophisticated transformations include the power transformation, from which the Box-Cox optimization chooses a particular transformation which optimized a log-likelihood. Which transformation to use is almost becoming a lost art...
null
CC BY-SA 2.5
null
2011-02-21T20:55:54.027
2011-02-21T20:55:54.027
null
null
2773
null
7470
2
null
7152
11
null
A very nice discussion of structural zeros in contingency tables is provided by West, L. and Hankin, R. (2008), “Exact Tests for Two-Way Contingency Tables with Structural Zeros,” Journal of Statistical Software, 28(11), 1–19. URL [http://www.jstatsoft.org/v28/i11](http://www.jstatsoft.org/v28/i11) As the title implie...
null
CC BY-SA 2.5
null
2011-02-21T21:01:10.717
2011-02-21T21:01:10.717
null
null
2773
null
7471
1
null
null
14
9958
Can the standard deviation be calculated for the harmonic mean? I understand that the standard deviation can be calculated for arithmetic mean, but if you have harmonic mean, how do you calculate the standard deviation or CV?
Can the standard deviation be calculated for harmonic mean?
CC BY-SA 2.5
null
2011-02-21T22:39:49.407
2021-09-26T06:03:51.507
2017-02-28T13:35:29.330
11887
null
[ "standard-deviation", "harmonic-mean" ]
7472
2
null
7467
25
null
This response focuses on the second question, but in the process a partial answer to the first question (guidelines for a QA/QC procedure) will emerge. By far the best thing you can do is check data quality at the time entry is attempted. The user checks and reports are labor-intensive and so should be reserved for la...
null
CC BY-SA 2.5
null
2011-02-21T23:27:05.723
2011-02-21T23:27:05.723
null
null
919
null
7473
2
null
7455
15
null
In machine learning a full probability model p(x,y) is called generative because it can be used to generate the data whereas a conditional model p(y|x) is called discriminative because it does not specify a probability model for p(x) and can only generate y given x. Both can be estimated in Bayesian fashion. Bayesian...
null
CC BY-SA 2.5
null
2011-02-21T23:50:01.567
2011-02-22T00:06:57.613
2011-02-22T00:06:57.613
493
493
null
7474
2
null
7471
2
null
Here is an example for Exponential r.v's. The harmonic mean for $n$ data points is defined as $$S = \frac{1}{\frac{1}{n} \sum_{i=1}^n X_i}$$ Suppose you have $n$ iid samples of an Exponential random variable, $X_i \sim {\rm Exp}(\lambda)$. The sum of $n$ Exponential variables follows a Gamma distribution $$\sum_{i=1}...
null
CC BY-SA 3.0
null
2011-02-21T23:51:06.993
2017-02-28T16:55:14.717
2017-02-28T16:55:14.717
919
530
null
7475
1
7479
null
1
1044
I am trying to do a multiple logistic regression for 2 similar groups. I have a few questions: - In doing a univariate analysis, do I enter each independent variable, one at a time, first into the binary regression, before going on to do the multivariate analysis? Or is the significance values from Chi-square or t-tes...
Entering variables in multivariate logistic regression and running regression across two groups
CC BY-SA 2.5
null
2011-02-22T01:09:31.170
2011-02-22T06:57:06.070
2011-02-22T06:57:06.070
2116
null
[ "logistic" ]
7476
1
7493
null
11
1662
Before submission of my meta-analysis I want to make a funnel plot to test for heterogeneity and publication bias. I have the pooled effect size and the effect sizes from each study, that take values from -1 to +1. I have the sample sizes n1, n2 for patients and controls from each study. As I cannot calculate the stand...
Alternative funnel plot, without using standard error (SE)
CC BY-SA 2.5
null
2011-02-22T01:12:00.607
2011-02-22T12:08:20.327
2011-02-22T12:02:14.783
8
3333
[ "meta-analysis", "sample-size", "standard-error", "funnel-plot", "publication-bias" ]
7477
2
null
6538
86
null
(Very) short story Long story short, in some sense, statistics is like any other technical field: [There is no fast track](http://norvig.com/21-days.html). Long story Bachelor's degree programs in statistics are relatively rare in the U.S. One reason I believe this is true is that it is quite hard to pack all that is n...
null
CC BY-SA 3.0
null
2011-02-22T02:08:30.283
2016-12-20T19:57:24.177
2016-12-20T19:57:24.177
22047
2970
null
7478
1
null
null
3
251
I've performed a study which yielded (?) the following results: ``` - no bike box bike box % change correct procedure 173 55 -27% incorrect procedure 68 50 69% ``` Since a result could only be one of the two - correct and incorrect proce...
How to compare outcomes from single variable experiment?
CC BY-SA 2.5
null
2011-02-22T02:32:12.893
2015-12-20T00:19:15.963
2015-12-20T00:19:15.963
28666
3357
[ "contingency-tables", "fishers-exact-test", "relative-risk" ]
7479
2
null
7475
4
null
I would start with estimating a (simple) bivariate correlation matrix which includes your outcome variable as well as all predictors. This will give you very first insights into the dependency structure of all your variables. Especially correlation coefficients of $|r| > 0.4$ (between your predictor variables) can indi...
null
CC BY-SA 2.5
null
2011-02-22T02:34:30.143
2011-02-22T02:34:30.143
null
null
307
null
7480
2
null
7478
2
null
You can report percent correct along with sample size $n$, and reporting percent correct instead would be sufficient in most cases, even if you focus more on the percent incorrect in your interpretation.
null
CC BY-SA 2.5
null
2011-02-22T03:03:53.333
2011-02-22T03:03:53.333
null
null
1381
null
7481
1
null
null
9
25781
### Context I have a survey that asks 11 questions about self-efficacy. Each question has 3 response options (disagree, agree, strongly agree). Nine questions ask about self-esteem. I have used a factor analysis of the 11 self-efficacy items and extracted two factors. $x_1$ to $x_{11}$ denote the 11 self-efficacy ...
How to use variables derived from factor analysis as predictors in logistic regression?
CC BY-SA 2.5
null
2011-02-22T03:24:55.477
2014-11-07T07:55:53.000
2011-02-22T07:46:48.870
2116
null
[ "logistic", "factor-analysis" ]
7482
1
null
null
4
356
If kNN doesn't perform well for classification on a dataset, is there any hope for parametric methods to perform better? Kernel-based methods, SVM, random forests, and neural networks. Could any of these outperform kNN method?
Accuracy of advanced parametric methods compared to kNN method
CC BY-SA 2.5
null
2011-02-22T06:56:36.897
2011-02-23T21:39:34.423
2011-02-23T21:39:34.423
null
null
[ "machine-learning", "k-nearest-neighbour" ]
7483
2
null
7482
4
null
Hastie et al give a nice overview in [their book](http://www-stat.stanford.edu/~tibs/ElemStatLearn/), look into 2nd chapter. The short answer is yes. Otherwise why do you think these methods were developed and are still widely used?
null
CC BY-SA 2.5
null
2011-02-22T07:02:04.770
2011-02-22T07:02:04.770
null
null
2116
null
7484
2
null
7471
15
null
The harmonic mean $H$ of random variables $X_1,...,X_n$ is defined as $$H=\frac{1}{\frac{1}{n}\sum_{i=1}^n\frac{1}{X_i}}$$ Taking moments of fractions is a messy business, so instead I would prefer working with the $1/H$. Now $$\frac{1}{H}=\frac{1}{n}\sum_{i=1}^n\frac{1}{X_i}$$. Usin central limit theorem we immediatel...
null
CC BY-SA 4.0
null
2011-02-22T07:43:52.837
2019-05-05T21:57:24.093
2019-05-05T21:57:24.093
22452
2116
null
7487
1
null
null
2
1550
How can I test the statistical significance of regression coefficients in multivariate multiple regression?
How to test for statistical significance of regression coefficients in multivariate multiple regression?
CC BY-SA 2.5
null
2011-02-22T09:12:10.840
2011-02-22T14:37:56.237
2011-02-22T09:23:48.610
2116
null
[ "regression" ]
7488
2
null
7478
2
null
If I understand correctly, your IV is "bike box" vs. "no bike box", and your DV is "correct" vs. "incorrrect". The resulting $2 \times 2$ classification table can be summarized with the Odds Ratio: "given the bike-box condition, what are the odds of getting a correct response?" compared to "given the no-bike-box condit...
null
CC BY-SA 2.5
null
2011-02-22T10:35:29.137
2011-02-22T23:27:11.683
2011-02-22T23:27:11.683
1909
1909
null
7489
2
null
7487
6
null
For a start, have a look at this pdf: [multivariate multiple regression](http://www.psych.yorku.ca/lab/psy6140/lectures/MultivariateRegression2x2.pdf). An example in R: ``` N <- 50 # number of participants X1 <- rnorm(N, 175, 7) # predictor 1 X2 <- rnorm(N, 30, 8) # predictor 2 X3 <- rnorm(N...
null
CC BY-SA 2.5
null
2011-02-22T11:15:15.733
2011-02-22T11:15:15.733
null
null
1909
null
7490
2
null
7481
11
null
If I understand you correctly, you are using FA to extract two subscales from your 11-item questionnaire. They are supposed to reflect some specific dimensions of self-efficacy (for example, self-regulatory vs. self-assertive efficacy). Then, you are free to use individual mean (or sum) scores computed on the two subsc...
null
CC BY-SA 2.5
null
2011-02-22T11:23:45.177
2011-02-22T11:23:45.177
null
null
930
null
7491
2
null
7481
10
null
### Using factor scores as predictors Yes, you can use variables derived from a factor analysis as predictors in subsequent analyses. Other options include running some form of structural equation model where you posit a latent variable with the items or bundles of items as observed variables. ### Mean as scale sc...
null
CC BY-SA 2.5
null
2011-02-22T11:24:18.743
2011-02-22T11:24:18.743
null
null
183
null
7492
2
null
7481
1
null
Everything have be said by chl and Jeromy for the theorical part... If you don't have use sum/mean of variables you identify with FA you can use scores of FA. Regarding the syntax you use you're probably using SAS. So to do a correct use of factor analysis you must use the score of observations and not the mean of vari...
null
CC BY-SA 2.5
null
2011-02-22T11:37:13.330
2011-02-22T12:55:24.417
2011-02-22T12:55:24.417
1154
1154
null
7493
2
null
7476
13
null
Q: Can I still make a funnel plot with effect size on the horizontal axon and total sample size n (n=n1+n2) on the vertical axis? A: Yes Q: How should such a funnel plot be interpreted? A: It is still a funnel plot. However, funnel plots should be interpreted with caution. For example, if you have only 5-10 effect siz...
null
CC BY-SA 2.5
null
2011-02-22T12:08:20.327
2011-02-22T12:08:20.327
null
null
307
null
7494
1
7507
null
4
1254
There is a catalog of noninformative priors over here: [http://www.stats.org.uk/priors/noninformative/YangBerger1998.pdf](http://www.stats.org.uk/priors/noninformative/YangBerger1998.pdf) in page 11, they give the noninformative Jeffreys prior for the Dirichlet distribution. They give the Fisher information matrix for ...
Fisher information matrix for the Dirichlet distribution
CC BY-SA 2.5
null
2011-02-22T14:24:42.300
2011-02-22T16:26:30.153
2011-02-22T14:48:49.360
2116
3347
[ "distributions" ]
7495
2
null
7482
7
null
The "no free lunch" theorems (Wolpert) suggest there are no a-priori distinctions between classifiers; essentially whether one classifier performs better than another depends on the nature of the dataset. Note also for kNN a lot depends on what distance metric you use and how you choose a good value for k. It is not ...
null
CC BY-SA 2.5
null
2011-02-22T14:35:49.593
2011-02-22T14:35:49.593
null
null
887
null
7496
2
null
7487
1
null
The standard approach is to use the partial F test, explained on fine websites all over town.
null
CC BY-SA 2.5
null
2011-02-22T14:37:56.237
2011-02-22T14:37:56.237
null
null
5792
null
7497
1
7506
null
29
11688
This is a question about terminology. Is a "vague prior" the same as a non-informative prior, or is there some difference between the two? My impression is that they are same (from looking up vague and non-informative together), but I can't be certain.
Is a vague prior the same as a non-informative prior?
CC BY-SA 2.5
null
2011-02-22T14:49:46.453
2013-11-01T11:21:02.647
2011-02-22T16:13:36.303
8
3347
[ "bayesian", "prior", "terminology" ]
7498
2
null
7497
3
null
I suspect "vague prior" is used to mean a prior that is known to encode some small, but non-zero amount of knowledge regarding the true value of a parameter, whereas a "non-informative prior" would be used to mean complete ignorance regarding the value of that parameter. It would perhaps be used to show that the analy...
null
CC BY-SA 2.5
null
2011-02-22T15:01:50.813
2011-02-22T15:01:50.813
null
null
887
null
7499
1
7550
null
4
3039
When presenting statistical information using bar charts, when will you need to use Error Bar charts?
Which type of statistical information will need Error Bar charts for presentation?
CC BY-SA 2.5
null
2011-02-22T15:14:04.833
2011-02-24T14:56:55.430
2011-02-24T11:54:32.427
null
546
[ "data-visualization", "error" ]
7500
2
null
7497
10
null
Definitely not, although they are frequently used interchangeably. A vague prior (relatively uninformed, not really favoring some values over others) on a parameter $\theta$ can actually induce a very informative prior on some other transformation $f(\theta)$. This is at least part of the motivation for Jeffreys' prior...
null
CC BY-SA 3.0
null
2011-02-22T15:21:27.733
2013-11-01T11:21:02.647
2013-11-01T11:21:02.647
17230
26
null
7501
2
null
7251
3
null
Short answer. The problem you mention is well studied by Granger C.W.J. with co-authors, and known as the forecasts combination (or pooling) problem. The general idea is to choose the loss function criterion and the parameters (may be time dependent) that minimize the latter. Below I put some references that may be use...
null
CC BY-SA 2.5
null
2011-02-22T15:26:12.237
2011-02-22T15:26:12.237
null
null
2645
null
7503
2
null
7497
6
null
Lambert et al (2005) raise the question ["How Vague is Vague? A simulation study of the impact of the use of vague prior distributions in MCMC using WinBUGS](http://onlinelibrary.wiley.com/doi/10.1002/sim.2112/abstract)". They write: "We do not advocate the use of the term non-informative prior distribution as we consi...
null
CC BY-SA 2.5
null
2011-02-22T15:37:55.493
2011-02-22T15:37:55.493
null
null
307
null
7504
2
null
7494
2
null
I think it's meant to have constant off-diagonal entries, i.e. it could also be written $$I(\alpha_1, \alpha_2, \ldots, \alpha_k) = \operatorname{diag}\left[ PG(1,\alpha_1) , PG(1, \alpha_2), \ldots, PG(1,\alpha_k) \right] - PG(1,\alpha_0) J_k $$ where $J_k$ is a $k \times k$ [matrix of ones](http://en.wikipedia.org/wi...
null
CC BY-SA 2.5
null
2011-02-22T15:45:19.270
2011-02-22T15:45:19.270
null
null
449
null
7505
1
null
null
3
710
there is a short introduction to AB Tests in [this question](https://stats.stackexchange.com/questions/4884/aggregation-level-in-ab-tests) or [here at 20bits](http://20bits.com/articles/statistical-analysis-and-ab-testing/). We are currently testing different versions of landing pages and are using the conversion rate ...
Moving from conversion rates to sales volume in A/B tests
CC BY-SA 2.5
null
2011-02-22T15:52:50.807
2011-04-21T15:05:07.710
2017-04-13T12:44:46.680
-1
3367
[ "confidence-interval", "hypothesis-testing", "ab-test" ]
7506
2
null
7497
18
null
Gelman et al. (2003) say: > there has long been a desire for prior distributions that can be guaranteed to play a minimal role in the posterior distribution. Such distributions are sometimes called 'reference prior distributions' and the prior density is described as vague, flat, or noninformative.[emphasis from orig...
null
CC BY-SA 3.0
null
2011-02-22T16:13:39.453
2013-06-08T19:37:30.417
2013-06-08T19:37:30.417
22047
1381
null
7507
2
null
7494
8
null
Let's work it out. The logarithm of the Dirichlet density function is $$\lambda(\mathbf{x}|\mathbf{\alpha}) = \log(\Gamma(\alpha_0)) - \sum_{i=1}^{k}{\log(\Gamma(\alpha_i)))} + \sum_{i=1}^{k}{(\alpha_i - 1)\log(x_i)},$$ where $\alpha_0 = \alpha_1 + \alpha_2 + \cdots + \alpha_k$. Taking second partial derivatives with r...
null
CC BY-SA 2.5
null
2011-02-22T16:26:30.153
2011-02-22T16:26:30.153
null
null
919
null
7508
1
null
null
11
2513
If I hypothesize that a gene signature will identify subjects at a lower risk of recurrence, that is decrease by 0.5 (hazard ratio of 0.5) the event rate in 20% of the population and I intend to use samples from a retrospective cohort study does the sample size need to be adjusted for unequal numbers in the two hypothe...
Power analysis for survival analysis
CC BY-SA 2.5
null
2011-02-22T16:39:14.313
2011-11-13T20:52:42.547
2011-11-13T20:52:42.547
930
null
[ "survival", "statistical-power", "genetics" ]
7509
2
null
2787
1
null
Jakob Nielsen [recommends testing with five users](http://www.useit.com/alertbox/20000319.html) for optimal results. This assertion has been challenged a few times, both empirically and theoretically, but generally seems to hold quite well.
null
CC BY-SA 2.5
null
2011-02-22T17:40:39.037
2011-02-22T17:40:39.037
null
null
3367
null
7510
2
null
7481
1
null
Continuous latent variables with discrete (polytomous in your case) manifest variables is part of item response analysis. Package 'ltm' in R covers a variety of such models. I refer you to [this](http://goo.gl/lJh5s) paper, which deals with exactly same problem.
null
CC BY-SA 2.5
null
2011-02-22T18:06:08.293
2011-02-22T18:06:08.293
null
null
609
null
7511
1
null
null
5
137
We are dealing with a measurement apparatus that is cursed by noise and are trying to find out if a measurement was noise or an actual measurement. Assume we have a beam of light incident on an square array of photo detectors. The "counts" measured in the individual tubes follow Poisson statistics. A typical beam distr...
Construct probability that measurement belongs to one of two sets
CC BY-SA 2.5
null
2011-02-22T18:27:41.433
2011-02-23T16:02:13.747
2011-02-22T18:58:19.827
56
56
[ "hypothesis-testing", "correlation" ]
7512
1
null
null
3
3312
What is the best way to correlate zero-inflated count variables with a small sample size (n=~50 and N=99)?
Zero inflated correlation
CC BY-SA 2.5
null
2011-02-22T18:43:11.643
2012-02-13T16:43:21.527
null
null
null
[ "correlation" ]
7513
1
7530
null
21
116981
Could anyone offer some pointers on how to use the `weights` argument in R's `lm` function? Say, for instance you were trying to fit a model on traffic data, and you had several hundred rows, each of which represented a city (with a different population). If you wanted the model to adjust the relative influence of ea...
How to use weights in function lm in R?
CC BY-SA 2.5
null
2011-02-22T19:38:50.313
2016-11-03T15:17:41.363
2011-02-23T08:20:59.090
2116
3320
[ "r", "regression" ]
7514
2
null
7478
0
null
my brother posted the original data. what is happening here is that i am observing two different conditions. the control is no bike box. this is the baseline. a normal intersection with bike lanes. the experimental condition is an intersection that has bike boxes added. i am attempting to interpret the correct/incorre...
null
CC BY-SA 2.5
null
2011-02-22T19:58:23.480
2011-02-22T19:58:23.480
null
null
null
null
7515
1
7516
null
22
7984
What are some techniques for sampling two correlated random variables: - if their probability distributions are parameterized (e.g., log-normal) - if they have non-parametric distributions. The data are two time series for which we can compute non-zero correlation coefficients. We wish to simulate these data in th...
What are some techniques for sampling two correlated random variables?
CC BY-SA 2.5
null
2011-02-22T20:43:25.633
2018-01-03T16:14:47.500
2011-02-22T21:35:51.057
919
2260
[ "correlation", "sampling", "monte-carlo", "stochastic-processes", "copula" ]
7516
2
null
7515
26
null
I think what you're looking for is a copula. You've got two marginal distributions (specified by either parametric or empirical cdfs) and now you want to specify the dependence between the two. For the bivariate case there are all kinds of choices, but the basic recipe is the same. I'll use a Gaussian copula for ease o...
null
CC BY-SA 3.0
null
2011-02-22T21:09:42.563
2018-01-03T16:14:47.500
2018-01-03T16:14:47.500
7290
26
null
7517
2
null
7511
3
null
According to the comments after the question, this is a hypothesis testing situation. You have stipulated that you can accurately assess the null distribution of the individual cell counts. We need a test statistic. The nature of the problem suggests running a small kernel over the array (essentially to deconvolve t...
null
CC BY-SA 2.5
null
2011-02-22T21:18:31.240
2011-02-23T16:02:13.747
2011-02-23T16:02:13.747
919
919
null
7518
1
null
null
3
139
If I define a function in IML: ``` start func(a); submit a / R; print(&a); endsubmit; finish; ``` and run it: ``` run func("character string"); ``` I get the error message: object 'character string' does not exist. So R or IML is evaluating the character string into an object. I want R to output "character st...
How to pass character strings to R from IML Studio
CC BY-SA 2.5
null
2011-02-22T21:20:34.683
2011-02-23T00:49:33.997
2011-02-22T21:22:59.367
null
null
[ "r", "sas" ]
7519
1
7526
null
33
6151
Consider a Jeffreys prior where $p(\theta) \propto \sqrt{|i(\theta)|}$, where $i$ is the Fisher information. I keep seeing this prior being mentioned as a uninformative prior, but I never saw an argument why it is uninformative. After all, it is not a constant prior, so there has to be some other argument. I understand...
Why are Jeffreys priors considered noninformative?
CC BY-SA 2.5
null
2011-02-22T23:01:36.607
2020-10-21T18:31:53.380
2011-02-22T23:49:45.727
null
3347
[ "bayesian", "prior" ]
7520
2
null
7513
3
null
What you suggest should work. See if this makes sense: ``` lm(c(8000, 50000, 116000) ~ c(6, 7, 8)) lm(c(8000, 50000, 116000) ~ c(6, 7, 8), weight = c(123, 123, 246)) lm(c(8000, 50000, 116000, 116000) ~ c(6, 7, 8, 8)) ``` The second line produces the same intercept and slope as the third line (distinct from the first ...
null
CC BY-SA 2.5
null
2011-02-22T23:05:22.627
2011-02-22T23:05:22.627
null
null
2958
null
7521
1
7566
null
3
353
I have quarterly sales data for a variety of stores and would like to estimate the effect of a regulation on sales. A panel type model would appear to be appropriate in this case, with the regulation as a dummy variable. However, the quantity of sales varies by two-orders of magnitude between stores. How should I acc...
Subjects with different order of magnitude values in panel data
CC BY-SA 2.5
null
2011-02-23T00:30:42.133
2017-11-12T17:21:31.740
2017-11-12T17:21:31.740
11887
179
[ "time-series", "panel-data" ]
7522
2
null
7518
2
null
I haven't used the new R/IML interface functionality, but from reading the help it looks like `submit foo` does text substitution. That is, if the IML variable `foo` contains the value `x`, then any occurrence of `&foo` in the submit block is replaced with `x`. When R is involved, IML generates R code to treat x as a s...
null
CC BY-SA 2.5
null
2011-02-23T00:33:24.057
2011-02-23T00:49:33.997
2011-02-23T00:49:33.997
1569
1569
null
7523
1
null
null
3
199
I would appreciate some advice on how best to weight or give more importance to a percentage with a larger denominator. Eg - A. 1 out of 2 = 50% - B. 5 out of 10 = 50% - C. 500 out of 1000 = 50% Some of the data is sparse and continually emerging so - A) could just be a blip and could change, - B) is emerging ...
How do I introduce features and their confidence values into classifiers
CC BY-SA 2.5
null
2011-02-23T01:01:33.197
2011-03-01T11:57:42.837
2011-03-01T11:57:42.837
null
null
[ "proportion", "weighted-mean" ]
7525
2
null
7523
4
null
It might be a good idea to rename the question to something like "how do I introduce features and their confidence values into classifiers". I can think of two ways to do it, but if you phrase the question differently, more people will look at it and will maybe have additional suggestions. The first option is to add tw...
null
CC BY-SA 2.5
null
2011-02-23T02:02:42.370
2011-02-24T20:36:45.130
2011-02-24T20:36:45.130
3369
3369
null
7526
2
null
7519
15
null
It's considered noninformative because of the parameterization invariance. You seem to have the impression that a uniform (constant) prior is noninformative. Sometimes it is, sometimes it isn't. What happens with Jeffreys' prior under a transformation is that the Jacobian from the transformation gets sucked into the or...
null
CC BY-SA 3.0
null
2011-02-23T02:27:01.233
2013-10-23T15:43:12.733
2013-10-23T15:43:12.733
17230
26
null
7527
1
7529
null
17
3147
I'm trying to implement a "change point" analysis, or a multiphase regression using `nls()` in R. [Here's some fake data I've made](https://i.stack.imgur.com/27f1S.png). The formula I want to use to fit the data is: $y = \beta_0 + \beta_1x + \beta_2\max(0,x-\delta)$ What this is supposed to do is fit the data up to a ...
Change point analysis using R's nls()
CC BY-SA 3.0
null
2011-02-23T03:27:05.930
2020-01-10T11:13:01.667
2015-05-12T08:04:38.237
35989
287
[ "r", "regression", "change-point", "nls" ]
7528
1
7557
null
3
644
A simplified regression equation $ES=\frac{a+b}{n_1+n_2}$ has been suggested as an alternative to Egger's regression equation $\frac{ES}{SE}=\frac{a+b}{SE}$, where ES=Effect Size, $n_1$=sample size of the patients, $n_2$=sample size of the controls, SE=Standard Error. This alternative test, that was presented by Peters...
Alternative Egger's test, without using standard error
CC BY-SA 2.5
null
2011-02-23T03:42:14.227
2011-02-24T00:34:36.170
2011-02-23T22:19:05.607
null
3333
[ "meta-analysis", "standard-error", "effect-size", "funnel-plot", "publication-bias" ]
7529
2
null
7527
13
null
(At first I thought it could be a problem resulting from the fact that `max` is not vectorized, but that's not true. It does make it a pain to work with changePoint, wherefore the following modification: ``` changePoint <- function(x, b0, slope1, slope2, delta) { b0 + (x*slope1) + (sapply(x-delta, function (t) max...
null
CC BY-SA 3.0
null
2011-02-23T06:27:52.350
2015-05-12T07:52:01.270
2015-05-12T07:52:01.270
35989
2975
null
7530
2
null
7513
17
null
I think R help page of `lm` answers your question pretty well. The only requirement for weights is that the vector supplied must be the same length as the data. You can even supply only the name of the variable in the data set, R will take care of the rest, NA management, etc. You can also use formulas in the `weight` ...
null
CC BY-SA 3.0
null
2011-02-23T08:15:22.403
2016-11-03T15:17:41.363
2016-11-03T15:17:41.363
25138
2116
null
7531
1
7545
null
4
936
I have the data about process duration (in minutes) and components (procedures) done during it like this (CSV): --- ``` id,time,p1,p2,p3,p4 1,30,1,0,0,0 2,32,1,0,0,0 3,56,1,1,0,0 4,78,1,1,0,1 5,78,1,1,0,1 6,100,1,1,1,1 7,98,0,1,1,1 ``` I need to estimate the duration of each component(procedure) I want to get some...
Multiple regression with binary predictors. Component value analysis
CC BY-SA 2.5
null
2011-02-23T08:23:08.650
2011-02-25T13:23:21.070
2011-02-24T10:48:25.453
3376
3376
[ "methodology", "multiple-regression" ]
7532
1
7540
null
9
24799
I would like to ask you, what is the correct number of Lags in ARCH LM Test? I am referring to ArchTest in FinTS package, but other ArchTest (such as the one in Eviews) provide same results. In many time series, when I choose Lags between 1:5 the p.value is usually higher than 0.05, but with increasing of Lags, p.valu...
How to choose number of lags in ARCH models using ARCH LM test?
CC BY-SA 2.5
null
2011-02-23T09:50:38.280
2017-10-25T09:51:40.533
2011-02-23T11:39:21.630
2116
3378
[ "time-series", "garch" ]
7533
2
null
7531
1
null
Software: I advice to use R because it is free and designed for data analysis. [http://cran.r-project.org/](http://cran.r-project.org/) About your first question, the R code to answer it, is the following (I suppose that your data are in the file "data.csv") ``` # load the file "data.csv" d <- read.table("data.csv",hea...
null
CC BY-SA 2.5
null
2011-02-23T09:52:39.107
2011-02-23T13:46:38.320
2011-02-23T13:46:38.320
2116
3377
null
7534
1
7646
null
3
410
I have a contingency table which is not fixed, it varies depending on on the data. I want to know how significant a particular cell is compared with the other cells. Is there a method of doing this?
How do you determine if a particular cell of an i x j contingency table is statistically significant among all other cells?
CC BY-SA 3.0
null
2011-02-23T10:12:20.310
2012-09-02T01:46:33.087
2012-09-02T01:46:33.087
3826
3379
[ "contingency-tables" ]
7535
1
7537
null
17
2076
What is the appropriate strategy for deciding which model to use with count data? I have count data that i need to model as a multilevel model and it was recommended to me (on this site) that the best way to do so this is through bugs or MCMCglmm. However i am still trying to learn about bayesian statistics, and i tho...
Strategy for deciding appropriate model for count data
CC BY-SA 4.0
null
2011-02-23T11:05:14.260
2020-01-05T13:43:33.923
2020-01-05T13:43:33.923
11887
1871
[ "generalized-linear-model", "poisson-distribution", "count-data", "negative-binomial-distribution", "overdispersion" ]
7536
2
null
6330
5
null
By Their Fruits Ye Shall Know Them The assumption (to be tested) is that the errors from the model have constant variance. Note this does not mean the errors from an assumed model. When you use a simple graphical analysis you are essentially assuming a linear model in time. Thus if you have an inadequate model such as ...
null
CC BY-SA 4.0
null
2011-02-23T13:29:56.240
2018-06-19T11:57:38.263
2018-06-19T11:57:38.263
3382
3382
null
7537
2
null
7535
10
null
You can always compare count models by looking at their predictions (preferrably on a hold out set). J. Scott Long discusses this graphically (plotting the predicted values against actuals). His text book [here](http://rads.stackoverflow.com/amzn/click/0803973748) describes in details but you can also look at [6.4 on t...
null
CC BY-SA 2.5
null
2011-02-23T14:24:38.070
2011-02-24T07:37:31.597
2011-02-24T07:37:31.597
2116
2040
null
7539
2
null
7535
5
null
A couple things to add to what B_Miner said: 1) You wrote that the models varied from "everything significant" to "nothing significant" but this is not a good way to compare models. Look, instead, at predicted values (as B_miner suggested) and effect sizes. 2) If 70% of the data are 0, I can't imagine that a model w...
null
CC BY-SA 2.5
null
2011-02-23T15:20:31.053
2011-02-23T15:20:31.053
null
null
686
null
7540
2
null
7532
9
null
Arch LM tests whether coefficients in the regression: $$a_t^2=\alpha_0+\alpha_1 a_{t-1}^2+...+\alpha_p a_{t-p}^2+e_t$$ are zero, where $a_t$ is either observed series which we want to test for ARCH effects. So the null hypothesis is $$\alpha_1=...=\alpha_p=0$$ If hypothesis is accepted then we can say that series have ...
null
CC BY-SA 3.0
null
2011-02-23T15:21:49.200
2017-10-25T09:51:40.533
2017-10-25T09:51:40.533
2116
2116
null
7541
2
null
7534
0
null
I am not sure if I understand the first part of your question - everything varies depending on the data, does it not? There are ways to partition chi-square; I am not near my references, but this article seems apropos [http://www.jstor.org/pss/2283933](http://www.jstor.org/pss/2283933) If you know in advance which cell...
null
CC BY-SA 2.5
null
2011-02-23T15:24:51.763
2011-02-23T15:24:51.763
null
null
686
null
7542
1
null
null
5
2482
I have to demonstrate that a generator of VoIP calls generates calls uniformly distributed between callers. In particular the distribution is the uniform (min, max) one where the volume per caller distribution is uniformly distributed between a minimum and maximum. So by running a test with 10000 users and a min value ...
How to perform goodness of fit test and how to assign probability with uniform distribution?
CC BY-SA 3.0
null
2011-02-23T16:03:54.663
2013-06-28T19:10:21.147
2012-06-02T22:17:39.543
null
3342
[ "distributions", "chi-squared-test", "goodness-of-fit", "uniform-distribution" ]
7543
2
null
7084
7
null
### The question: - How can normality be validated without using visual cues such as QQ plots? (the validation will be a part of larger software) - Can a "goodness of fit" score be calculated? Although enumerated separately, these parts are (appropriately) one question: you compute an appropriate goodness of f...
null
CC BY-SA 2.5
null
2011-02-23T16:21:47.927
2011-02-23T16:21:47.927
2020-06-11T14:32:37.003
-1
919
null
7544
2
null
7084
0
null
I would maybe (I don't know if it is feasible in your context) suggest another approach. You could force your experimental data to follow a standard normal distribution by applying a normal quantile tranformation on it. The principle is to 1) rank your values from high to low 2) assign the value of r-th rank the (r-0....
null
CC BY-SA 2.5
null
2011-02-23T18:11:56.453
2011-02-23T18:11:56.453
null
null
null
null
7545
2
null
7531
5
null
I don't think the problem, as is, is well-defined. You mention the possibility that the duration of each operation may vary if done in combination with others. If that's the case, the "duration of operation" is not defined. E.g. in your example, op1 time is 30-32 min, and you say "therefore op2 time is 24-26 min", but ...
null
CC BY-SA 2.5
null
2011-02-23T18:21:58.147
2011-02-25T13:23:21.070
2011-02-25T13:23:21.070
3376
3369
null
7546
1
null
null
7
1324
For R, I understand that the package lme4 and the function glmer roughly corresponds to glimmix in SAS. What is the default covariance structure when fit and can it be changed? If so how?
What is the default covariance structure in glmer and can I change it?
CC BY-SA 2.5
null
2011-02-23T18:29:52.990
2011-02-24T07:51:30.473
null
null
1364
[ "r", "mixed-model", "covariance-matrix" ]
7547
2
null
7542
-2
null
What you are describing resembles a "continuous uniform distribution", [http://mathworld.wolfram.com/UniformDistribution.html](http://mathworld.wolfram.com/UniformDistribution.html) -Ralph Winters
null
CC BY-SA 2.5
null
2011-02-23T19:43:14.900
2011-02-23T19:43:14.900
null
null
3489
null
7548
2
null
4200
0
null
You should consider the Cross Correlation Function as that is meant to identify the lead/lag relationship. Dirk had mentioned the Autocorrelation Function, but that is meant for just one single time series and not for multivariate. You should consider looking at the Box-Jenkins textbook Chapter 10 where they introduce...
null
CC BY-SA 2.5
null
2011-02-23T19:56:53.833
2011-02-23T20:19:48.650
2011-02-23T20:19:48.650
8
3382
null
7549
1
null
null
6
1171
As the title suggests, I'm pretty well befuddled about which approach makes the most sense for my data. Let me try to succinctly explain the problem. I have binary choice data representing whether a specific person for a specific event took the train or bus. I have event level predictors (location of event, duration of...
Inverse logistic regression vs. repeated-measures vs. latent class?
CC BY-SA 2.5
null
2011-02-23T20:03:53.400
2011-02-24T16:39:05.287
2011-02-23T21:24:22.357
null
3387
[ "regression", "latent-class" ]
7550
2
null
7499
6
null
Adding error bars to a bar graph is a choice you make as a presenter to communicate more information to your audience. They are useful because they communicate visually how certain you can be, based on your data, of the specific values you are presenting. In some cases, there is no uncertainty. Imagine you are grap...
null
CC BY-SA 2.5
null
2011-02-23T20:06:57.793
2011-02-23T20:06:57.793
null
null
3388
null
7551
1
7553
null
9
10355
I am running an ordinal logistic regression in R and running into trouble when I include dummy variables. My model works great with my first set of predictors. Next I want to add dummy variables for each of the years represented in my dataset. I created the dummy variables with `car:recode` in this manner (one stat...
Singular information matrix error in lrm.fit in R
CC BY-SA 2.5
null
2011-02-23T20:22:00.287
2011-02-24T16:55:33.830
2011-02-24T16:55:33.830
3388
3388
[ "r", "logistic" ]
7553
2
null
7551
7
null
Creating dummy variables should not be necessary. You should just use factors when modeling in R. ``` admityear <- factor(admityear) m4 <- lrm(Outcome ~ relGPA + mcAvgGPA + Interview_Z + WorkHistory_years + GMAT + UGI_Gourman + admityear, data=fsd) ``` If the singular condition still persists...
null
CC BY-SA 2.5
null
2011-02-23T22:45:27.753
2011-02-23T22:45:27.753
null
null
2129
null
7554
1
null
null
7
21032
I have data about how many unique users do a certain thing for each day of a month. I can average it, and i would like to display the variation in a intuitive format (such as % of something). Is there a standard way of doing this? I've found standard error, which is $\frac{\sigma}{\sqrt{n}}$, which is not particularl...
How to express error as a percentage?
CC BY-SA 3.0
null
2011-02-24T00:05:24.610
2015-11-12T14:24:03.723
2012-07-19T11:20:52.490
12540
3392
[ "variance" ]
7555
1
7573
null
6
9100
I am trying to manage a meta-regression in SPSS17 using the effect size as the dependent variable. I want to explore if my independent variables affects the effect size. Some small practical questions: - What is the minimum number of studies necessary for a meta-regression? Some people suggest at least 10 studies are...
How to do meta-regression in SPSS?
CC BY-SA 2.5
null
2011-02-24T00:21:51.900
2016-06-17T13:09:29.513
2011-02-24T07:22:39.853
2116
3333
[ "spss", "meta-analysis", "sample-size", "meta-regression" ]
7556
2
null
7554
4
null
It may be meaningful to just divide by the average. E.g. the average number is 1000 and the std is 200, so in a sense this means the actual number can vary by 20% from the baseline. Also, if you could say who the user of the data are and what they are doing with it, it might be useful.
null
CC BY-SA 2.5
null
2011-02-24T00:28:50.507
2011-02-24T00:28:50.507
null
null
3369
null
7557
2
null
7528
2
null
Yes, I think that this approach can be use with other types of effect sizes as long as they are (approximately) normally distributed (that's why you use $log(OR)$; to be more precise, the errors of the linear regression model need to be $N(0,1)$). Your regression equation is wrong. It is $\overline{ES} = a + b \cdot \f...
null
CC BY-SA 2.5
null
2011-02-24T00:34:36.170
2011-02-24T00:34:36.170
2017-04-13T12:44:44.530
-1
307
null
7558
2
null
7554
2
null
The standard error of the mean tells you how precise your estimate of the mean is; that doesn't seem to capture what you're trying to do. I would use either a) a histogram, if you care mostly about showing variation, or b) a line chart or area chart, if you want to say something about variation while also showing prog...
null
CC BY-SA 2.5
null
2011-02-24T01:02:48.370
2011-02-24T01:02:48.370
null
null
2669
null
7559
1
7560
null
7
3397
The linear SVM in textbook takes form of maximizing $L_D = \sum_i{a_i} - \frac{1}{2}\sum_{i,j}{a_ia_jy_iy_jx_i^Tx_j}$ over $a_i$ where $a_i \geq 0$ and $\sum_i{a_iy_i} = 0$ Since $w = \sum_i{a_iy_ix_i}$, the classifier will take the form $\text{Sgn}(wx - b)$. Thus, it seems to solve linear SVM, I need to figure out $a_...
The difference between linear SVM and other linear classifiers?
CC BY-SA 2.5
null
2011-02-24T03:01:15.167
2011-02-24T07:24:09.663
2011-02-24T07:24:09.663
2116
3395
[ "svm", "linear-model" ]
7560
2
null
7559
8
null
There are two things going on here. - Difference between primal and dual problem. The "original" objective function of SVM is to minimize $1/2 ||w||^2$. This is called "primal form". Turns out that the objective function you wrote (the one involving $L_D$) is the dual form of this problem. So the two lead to equivalen...
null
CC BY-SA 2.5
null
2011-02-24T03:11:36.903
2011-02-24T03:11:36.903
null
null
3369
null
7561
2
null
7546
1
null
I do not know about SAS, but variance in `glmer` is controlled by `family` argument. If you want to change correlation structure then I suspect you will have to use `nlme` from nlme package.
null
CC BY-SA 2.5
null
2011-02-24T07:51:30.473
2011-02-24T07:51:30.473
null
null
2116
null
7562
1
8390
null
9
5114
I just got my hands on the [ANES (American National Election Studies)](http://www.electionstudies.org/) 2008 data set, and would like to do some simple analysis in R. However, I've never worked with this complex of a data set before and I've run into an issue. The survey uses oversampling and has a variable for post st...
Simple post-stratification weights in R
CC BY-SA 2.5
null
2011-02-24T10:15:16.720
2017-09-15T03:49:24.013
2011-02-24T11:57:29.023
null
726
[ "r", "survey", "post-hoc", "stratification" ]
7563
1
7568
null
11
322
What techniques/approaches are useful in testing statistical software? I'm particularly interested in programs that do parametric estimation using maximum likelihood. Comparing results to those from other programs or published sources is not always possible since most of the time when I write a program of my own it is ...
Testing statistical software
CC BY-SA 2.5
null
2011-02-24T10:16:34.377
2012-11-21T23:16:47.400
null
null
1393
[ "software", "computational-statistics" ]
7564
1
null
null
8
389
I would like to know if there are SOM implementations (preferably R) available that accept fuzzy input. That is, I have data in which some nominal features are spread out between a number of categories. For example: feature 1 has 5 categories and an observation might have the values (which are actually probabilities) [...
Self-organizing maps: fuzzy input?
CC BY-SA 3.0
null
2011-02-24T10:53:47.720
2018-08-12T15:46:33.880
2017-12-15T20:34:36.997
128677
3401
[ "machine-learning", "neural-networks", "self-organizing-maps" ]