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Tags
list
6014
2
null
5995
5
null
Make a table: ``` No renewal Renewal Total ---------- ------- ------ Attribute No 79800 200 80000 Yes 19700 300 20000 --------------------------------------- Total 99500 500 100000 ``` The computations are: - Number of non-renewers = 100,000...
null
CC BY-SA 2.5
null
2011-01-05T19:37:25.097
2011-01-05T19:37:25.097
null
null
919
null
6015
2
null
6013
13
null
Based on the way you phrase the question > are outliers not necessarily the best way to attack the problem of finding 'badness'? It is not clear that you are looking for outliers. For example, it seems that you are interested in machines performing above/below some threshold. As an example, if all of your serve...
null
CC BY-SA 3.0
null
2011-01-05T20:04:41.887
2011-09-29T13:24:27.140
2011-09-29T13:24:27.140
2817
1381
null
6016
2
null
6013
4
null
A simple way to find anomalous servers would be to assume they are identically distributed, estimate the population parameters, and sort them according to their likelihoods, ascending. Column likelihoods would be combined either with their product or their minimum (or some other T-norm). This works pretty well as long ...
null
CC BY-SA 2.5
null
2011-01-05T20:59:42.467
2011-01-05T20:59:42.467
null
null
2456
null
6017
2
null
2691
20
null
From someone who has used PCA a lot (and tried to explain it to a few people as well) here's an example from my own field of neuroscience. When we're recording from a person's scalp we do it with 64 electrodes. So, in effect we have 64 numbers in a list that represent the voltage given off by the scalp. Now since we re...
null
CC BY-SA 3.0
null
2011-01-05T21:11:38.220
2018-02-20T19:13:32.433
2018-02-20T19:13:32.433
2660
2660
null
6019
2
null
6013
2
null
Identifying a given data point as an outlier implies that there is some data generating process or model from which the data are expected to come from. It sounds like you are not sure what those models are for the given metrics and clusters you are concerned about. So, here is what I would consider exploring: [statisti...
null
CC BY-SA 4.0
null
2011-01-06T04:54:35.017
2023-01-04T16:07:59.133
2023-01-04T16:07:59.133
362671
1080
null
6020
1
6031
null
3
11112
I'm a programmer with little statistical background, and I'm trying to create something similar to what facebook did recently (with other data): [http://www.facebook.com/notes/facebook-data-team/whats-on-your-mind/477517358858](http://www.facebook.com/notes/facebook-data-team/whats-on-your-mind/477517358858) That is to...
Doing correlation on one variable vs many
CC BY-SA 2.5
null
2011-01-06T05:27:21.180
2011-01-06T12:50:15.300
null
null
2664
[ "r", "correlation" ]
6021
1
6030
null
10
8112
THis is a data visualization question. I have a database that contains some data that is constantly revised (online update). What is the best way in R to update a graph every let say 5 or 10 seconds. (without plotting again the all thing is possible)? fRed
R: update a graph dynamically
CC BY-SA 3.0
null
2011-01-06T06:44:19.350
2011-05-09T04:55:43.877
2011-05-09T04:55:43.877
1709
1709
[ "r", "data-visualization" ]
6022
1
6038
null
30
29230
What methods can I use to infer a distribution if I know only three percentiles? For example, I know that in a certain data set, the fifth percentile is 8,135, the 50th percentile is 11,259, and the 95th percentile is 23,611. I want to be able to go from any other number to its percentile. It's not my data, and those...
Estimating a distribution based on three percentiles
CC BY-SA 2.5
null
2011-01-06T08:11:22.483
2021-09-28T13:36:41.830
2011-01-07T13:49:30.270
2116
2665
[ "r", "regression", "quantiles" ]
6023
2
null
6021
8
null
For offline visualization, you can generate PNG files and convert them to an animated GIF using [ImageMagick](http://www.imagemagick.org/). I used it for demonstration (this redraw all data, though): ``` source(url("http://aliquote.org/pub/spin_plot.R")) dd <- replicate(3, rnorm(100)) spin.plot(dd) ``` This generates ...
null
CC BY-SA 2.5
null
2011-01-06T08:14:27.433
2011-01-06T08:14:27.433
null
null
930
null
6024
1
null
null
5
201
Given observations of $\{y, x_1, x_2, \cdots, x_n\}$, we can always do a linear regression and get all the coefficients $\{c_i\}$ for the model $$y = c_0 + c_1 x_1 + \cdots + c_n x_n.$$ However, this may not be the best answer. Let me explain it. When we are doing a regression, we have estimates $\{d_i\}$ for the stand...
Effectively fitting this kind of model: $y = c_1 (x_3 - x_4) + c_2 (x_1 - x_9)$
CC BY-SA 2.5
null
2011-01-06T08:51:17.610
2011-01-07T05:26:54.567
2011-01-06T16:02:04.530
919
null
[ "regression" ]
6025
2
null
6022
6
null
For a lognormal the ratio of the 95th percentile to the median is the same as the ratio of the median to the 5th percentile. That's not even nearly true here so lognormal wouldn't be a good fit. You have enough information to fit a distribution with three parameters, and you clearly need a skew distribution. For analyt...
null
CC BY-SA 2.5
null
2011-01-06T08:56:43.687
2011-01-06T08:56:43.687
null
null
449
null
6026
1
6028
null
20
84467
I'm a medical student trying to understand statistics(!) - so please be gentle! ;) I'm writing an essay containing a fair amount of statistical analysis including survival analysis (Kaplan-Meier, Log-Rank and Cox regression). I ran a Cox regression on my data trying to find out if I can find a significant difference be...
How do I interpret Exp(B) in Cox regression?
CC BY-SA 3.0
null
2011-01-06T09:12:48.257
2019-11-13T10:42:47.700
2011-09-07T08:51:16.793
null
2652
[ "regression", "survival", "hazard" ]
6027
2
null
6022
2
null
About the only things you can infer from the data is that the distribution is nonsymmetric. You can't even tell whether those quantiles came from a fitted distribution or just the ecdf. If they came from a fitted distribution, you could try all the distributions you can think of and see if any match. If not, there's no...
null
CC BY-SA 2.5
null
2011-01-06T10:12:31.150
2011-01-06T10:12:31.150
null
null
2456
null
6028
2
null
6026
24
null
Generally speaking, $\exp(\hat\beta_1)$ is the ratio of the hazards between two individuals whose values of $x_1$ differ by one unit when all other covariates are held constant. The parallel with other linear models is that in Cox regression the hazard function is modeled as $h(t)=h_0(t)\exp(\beta'x)$, where $h_0(t)$ i...
null
CC BY-SA 4.0
null
2011-01-06T10:49:53.407
2019-11-13T10:42:47.700
2019-11-13T10:42:47.700
230
930
null
6029
2
null
6020
2
null
Correlation is a rather vague word meaning the fact that one variable is dependent on the other; in many cases this is just a synonym for [Pearson correlation coefficient](http://en.wikipedia.org/wiki/Pearson_product-moment_correlation_coefficient), which assumes linear dependence (i.e. $y=A \cdot x+B$), so things like...
null
CC BY-SA 2.5
null
2011-01-06T12:00:24.480
2011-01-06T12:00:24.480
null
null
null
null
6030
2
null
6021
7
null
Assuming you want to update R `windows()` or `x11()` graph, you can use functions like `points()` and `lines()` to add new points or extend lines on a graph without redraw; yet note that this won't change the axes range to accommodate points that may go out of view. In general it is usually a good idea to make the plot...
null
CC BY-SA 2.5
null
2011-01-06T12:10:37.987
2011-01-06T12:10:37.987
null
null
null
null
6031
2
null
6020
6
null
To help you get started with the visualization, here is a snippet of R code with simulated data (a matrix with age and counts for 20 words, arranged in columns, for 100 subjects). The computation are done as proposed my @mbq (correlation). ``` n <- 100 # No. subjects k <- 20 # No. words words <- paste("word", 1:k, s...
null
CC BY-SA 2.5
null
2011-01-06T12:21:07.763
2011-01-06T12:50:15.300
2011-01-06T12:50:15.300
930
930
null
6032
2
null
6022
2
null
The use of quantiles to estimate parameters of a priori distributions is discussed in the literature on human response time measurement as "quantile maximum probability estimation" (QMPE, though originally erroneously dubbed "quantile maximum likelihood estimation", QMLE), discussed at length by [Heathcote and colleagu...
null
CC BY-SA 2.5
null
2011-01-06T13:10:16.490
2011-01-06T13:10:16.490
null
null
364
null
6033
1
null
null
13
10113
I came across a picture of an application prototype that finds significant changes ("trends" - not spikes/outliers) in traffic data: ![alt text](https://i.stack.imgur.com/sGYeF.png) I want to write a program (Java, optionally R) that is able to do the same - but because my statistic skills are a little rusty, I need to...
Detect changes in time series
CC BY-SA 2.5
null
2011-01-06T13:53:16.580
2022-10-17T21:00:56.683
2011-02-28T12:37:08.800
2116
2667
[ "time-series", "change-point" ]
6036
2
null
726
15
null
> Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin. -- Von Neumann
null
CC BY-SA 2.5
null
2011-01-06T14:22:03.547
2011-01-06T14:22:03.547
null
null
930
null
6037
2
null
4551
17
null
While I can relate to much of what Michael Lew says, abandoning p-values in favor of likelihood ratios still misses a more general problem--that of overemphasizing probabilistic results over effect sizes, which are required to give a result substantive meaning. This type of error comes in all shapes and sizes and I fi...
null
CC BY-SA 4.0
null
2011-01-06T15:28:05.167
2022-12-07T12:54:23.950
2022-12-07T12:54:23.950
362671
2669
null
6038
2
null
6022
19
null
Using a purely statistical method to do this work will provide absolutely no additional information about the distribution of school spending: the result will merely reflect an arbitrary choice of algorithm. You need more data. This is easy to come by: use data from previous years, from comparable districts, whatever. ...
null
CC BY-SA 2.5
null
2011-01-06T16:29:31.403
2011-01-06T19:32:30.900
2011-01-06T19:32:30.900
919
919
null
6039
1
null
null
1
1939
I am kinda new to stats and understand random sampling, however I am just learning PCA and wondering if it is just a more sophisticated form of sampling? In other words if I have a large data set. and take a random sample would I then apply PCA to it? Or just apply PCA to the data set. Thanks for any help.. Mike
Random Sampling and PCA
CC BY-SA 2.5
null
2011-01-06T17:11:11.887
2011-01-07T01:34:31.820
null
null
null
[ "pca" ]
6040
2
null
6024
4
null
You can not use the 36-coefficient model, and not because it's going to be slow. Speed is the least of your worries here. The real trouble is that you've taken an already under-determined problem (because of the correlations), and converted it into a problem which is severely under-determined for any data, because of ...
null
CC BY-SA 2.5
null
2011-01-06T17:24:19.430
2011-01-06T17:24:19.430
null
null
2658
null
6041
2
null
6039
2
null
Well, if you were interested in cross validation (i.e. how much your model will predict on a different sample), then you could use PCA on a random subset and then fit that model to the rest of your data. That being said, PCA is a tool for summarising a covariance matrix in a smaller matrix, so it may not be the best th...
null
CC BY-SA 2.5
null
2011-01-06T17:38:35.500
2011-01-06T17:38:35.500
null
null
656
null
6042
1
6043
null
3
766
(I'm asking this question for a friend, honest...) > Is there an easy way to convert from an SPSS file to a SAS file, which preserves the formats AND labels? Saving as a POR file gets me the labels (I think) but not the POR file. I tried to save to a SAS7dat file but it didn't work. Thanks,
Converting an SPSS file to a SAS file?
CC BY-SA 2.5
null
2011-01-06T17:52:31.127
2011-01-07T11:01:23.480
2011-01-07T11:01:23.480
null
253
[ "spss", "sas" ]
6043
2
null
6042
2
null
I would just suggest they make the syntax to relabel and reformat the variables. You can use the command, `display dictionary.` in PASW (aka SPSS) to output the dictionary in a table that you can copy and paste the variable names and labels. Looking at this [example](http://www.ats.ucla.edu/stat/sas/modules/labels.htm)...
null
CC BY-SA 2.5
null
2011-01-06T18:47:42.000
2011-01-06T18:59:07.933
2011-01-06T18:59:07.933
1036
1036
null
6044
1
6062
null
1
4109
As the title says, I'd like to calculate the percentage difference for two sets of points. For example, suppose I have $S_{1}=\{(1,x_{1}),(2,x_{2}),(3,x_{3})\}$ and $S_{2}=\{(1,y_{1}),(2,y_{2}),(3,y_{3})\}$. How can I know the difference in percentage between both sets of data. What is the correct way to do that? Is th...
Calculate percentage difference for two sets of points
CC BY-SA 2.5
null
2011-01-06T19:35:49.930
2011-01-07T13:45:52.677
2011-01-07T01:03:12.160
2676
2676
[ "quantiles" ]
6045
2
null
5922
7
null
See Levina, E. and Bickel, P. (2004) “Maximum Likelihood Estimation of Intrinsic Dimension.” Advances in Neural Information Processing Systems 17 [http://books.nips.cc/papers/files/nips17/NIPS2004_0094.pdf](http://books.nips.cc/papers/files/nips17/NIPS2004_0094.pdf) Their idea is that if the data are sampled from a sm...
null
CC BY-SA 2.5
null
2011-01-06T19:40:32.547
2011-01-08T20:17:36.033
2011-01-08T20:17:36.033
1670
1670
null
6046
1
null
null
3
3519
I have animals, that could be virgin or mated (reproductive state is the fixed factor), which I've stimulated sequentially with 4 different doses of an odour (doses are the repeated measures, the same animal was blown with 4 increasing doses of the same odorant). Then, I measure the neuronal response (variable: number ...
How to solve a case of unbalanced repeated measures?
CC BY-SA 2.5
null
2011-01-06T19:49:26.740
2011-01-10T14:53:32.060
2011-01-07T09:36:30.217
159
null
[ "repeated-measures" ]
6047
1
40978
null
18
1149
Obviously events A and B are independent iff Pr$(A\cap B)$ = Pr$(A)$Pr$(B)$. Let's define a related quantity Q: $Q\equiv\frac{\mathrm{Pr}(A\cap B)}{\mathrm{Pr}(A)\mathrm{Pr}(B)}$ So A and B are independent iff Q = 1 (assuming the denominator is nonzero). Does Q actually have a name though? I feel like it refers to s...
Does this quantity related to independence have a name?
CC BY-SA 2.5
null
2011-01-06T19:50:41.317
2018-03-21T18:12:03.933
null
null
2485
[ "probability", "terminology", "independence" ]
6048
2
null
6046
2
null
Mixed effects analysis (available in [R](http://www.r-project.org) via the [lme4](http://cran.r-project.org/web/packages/lme4/index.html) package, free as always) can handle missing data like this. My understanding is (possibly erroneous? Mixed effects modelling experts please feel free to provide correction) of how th...
null
CC BY-SA 2.5
null
2011-01-06T21:06:18.200
2011-01-10T14:53:32.060
2011-01-10T14:53:32.060
364
364
null
6049
2
null
6044
1
null
It seems to me like you need to formulate a question you want your data to answer. Let me suggest a few (perhaps you can edit your post to reflect what questions make sense for your data): - As the DSMC value increases, does the theoretical result also increase? - If I know the value of the theoretical result, how ac...
null
CC BY-SA 2.5
null
2011-01-06T22:25:22.827
2011-01-06T22:25:22.827
null
null
1540
null
6050
1
6052
null
13
15896
I'm doing a simple AIC-based backward elimination model where some variables are categorical variables with multiple levels. These variables are modeled as a set of dummy variables. When doing backward elimination, should I be removing all the levels of a variable together? Or should I treat each dummy variable separat...
How should I handle categorical variables with multiple levels when doing backward elimination?
CC BY-SA 4.0
null
2011-01-07T00:15:28.330
2020-01-24T00:55:08.693
2020-01-24T00:55:08.693
11887
2308
[ "model-selection", "stepwise-regression" ]
6051
2
null
4600
1
null
In an anova context, the partial eta squared will tell what % of the Y variance is explained by a given X when controlling for all other X's. In a regression context, you could refer to the squared partial correlation of the X of interest.
null
CC BY-SA 2.5
null
2011-01-07T00:54:44.693
2011-01-07T00:54:44.693
null
null
2669
null
6052
2
null
6050
8
null
I think you'd have to remove the entire categorical variable. Imagine a logistic regression in which you're trying to predict if a person has a disease or not. Country of birth might have a major impact on that, so you include it in your model. If the specific USAmerican origin didn't have any impact on AIC and you ...
null
CC BY-SA 2.5
null
2011-01-07T01:23:04.920
2011-01-07T01:23:04.920
2017-04-13T12:44:29.923
-1
71
null
6053
2
null
6039
1
null
Principal Components Analysis is a way of distilling a large set of variables into a few topics or themes or fundamentals. It's dimension reduction. The only resemblance I see to sampling is that sampling also involves a kind of reduction.
null
CC BY-SA 2.5
null
2011-01-07T01:34:31.820
2011-01-07T01:34:31.820
null
null
2669
null
6054
2
null
868
1
null
One picayune thing that could matter down the road is, in your equation P = 1 / [1 + e^(-35 + (4*4 + 4*4 + 3*0 + 1*1)] you've misplaced the "-": it needs to go outside the parenthesis. So it'd be P = 1 / [1 + e^-(a + B1*X1 + B2*X2 + B3*X3...+ Bn*Xn)].
null
CC BY-SA 2.5
null
2011-01-07T01:55:24.827
2011-01-07T01:55:24.827
null
null
2669
null
6055
2
null
6042
0
null
SPSS writes SAS7dat format files normally with no problems. When you it did not work, what actually happened?
null
CC BY-SA 2.5
null
2011-01-07T02:17:31.810
2011-01-07T02:17:31.810
null
null
null
null
6056
1
null
null
8
5008
I try to install rpy2 in my system, (I compile R with --enable-R-shlib and with --enable-BLAS-shlib flags) but when I try in python console ``` import rpy2 import rpy2.robjects ``` I got: ``` Traceback (most recent call last): File "<stdin>", line 1, in<module> File "/usr/lib/python2.6/dist-packages/rpy2/robje...
Problems with libRblas.so on ubuntu with rpy2
CC BY-SA 3.0
null
2011-01-07T03:23:36.777
2017-01-12T19:25:09.840
2016-06-29T17:17:36.103
119149
2680
[ "r", "python" ]
6057
2
null
6047
0
null
Maybe you are asking how this quantity is related to the Odds Ratio, as a quantity for measuring independence. I think you are searching for "Relation to statistical independence". See [http://en.wikipedia.org/wiki/Odds_ratio](http://en.wikipedia.org/wiki/Odds_ratio)
null
CC BY-SA 2.5
null
2011-01-07T03:33:37.813
2011-01-07T09:38:47.577
2011-01-07T09:38:47.577
159
2680
null
6058
2
null
6056
5
null
It looks like you tried to do things locally but didn't quite get there. I happen to maintain the Debian packages of R (which get rebuilt for Ubuntu and are accessible at [CRAN](http://cran.r-project.org/bin/linux/ubuntu/). These builds use external BLAS. rpy2 then builds just fine as well. I would recommend that you ...
null
CC BY-SA 2.5
null
2011-01-07T03:52:44.340
2011-01-07T03:52:44.340
null
null
334
null
6059
2
null
6024
5
null
(This response picks up where @AVB, who has provided useful comments, left off by suggesting we need to figure out which differences $X_i - X_j$ ought to be included among the independent variables.) The big question here is what is an effective method to identify the model. Later we can worry about faster methods. (...
null
CC BY-SA 2.5
null
2011-01-07T05:07:13.817
2011-01-07T05:26:54.567
2011-01-07T05:26:54.567
919
919
null
6060
2
null
6047
11
null
I think that you are looking for `Lift` (or improvement). Lift is the ratio of the probability that A and B occur together to the multiple of the two individual probabilities for A and B. It is used to interpret the importance of a rule in [association rule mining](http://en.wikipedia.org/wiki/Association_rule_learning...
null
CC BY-SA 2.5
null
2011-01-07T08:54:25.257
2011-01-07T08:54:25.257
null
null
339
null
6062
2
null
6044
1
null
First, let's compare two lists of numbers — are they from the same distribution ? For example, how close are the lists of 20 numbers, "|" marks, ``` ||||||.||.||...||.....||.|................|..................................... |||.|...|..|...|.......||...|...|...|.....|..|.................|.....|.......... ``` ? To...
null
CC BY-SA 2.5
null
2011-01-07T11:26:21.673
2011-01-07T13:45:52.677
2017-04-13T12:44:35.347
-1
557
null
6063
1
null
null
4
6888
I have been running 3-level multilevel models with [HLM](http://www.ssicentral.com/hlm/), and my main interest is in some cross-level interaction effects that I am finding. My concern is that the effect sizes of these interactions appear to be small – I am wondering whether they are really meaningful. I am turning to y...
Evaluating effect sizes of interactions in multiple regression
CC BY-SA 4.0
null
2011-01-07T11:46:10.653
2021-01-21T18:20:04.660
2021-01-21T18:20:04.660
11887
null
[ "regression", "interaction", "multilevel-analysis", "effect-size" ]
6065
2
null
6022
25
null
As @whuber pointed out, statistical methods do not exactly work here. You need to infer the distribution from other sources. When you know the distribution you have a non-linear equation solving exercise. Denote by $f$ the quantile function of your chosen probability distribution with parameter vector $\theta$. What yo...
null
CC BY-SA 4.0
null
2011-01-07T13:49:08.650
2021-09-28T13:36:41.830
2021-09-28T13:36:41.830
46761
2116
null
6066
1
null
null
5
1037
I have carried out a stepwise logistic regression in JMP. Then (using the proper button in the program window), I have chosen to build a nominal logistic regression model using (only) the variables identified by the stepwise procedure. Anyhow, comparing the summary tables of the stepwise regression and the nominal one,...
Discrepancy between stepwise and nominal logistic regression results in JMP
CC BY-SA 3.0
null
2011-01-07T14:49:08.103
2021-01-09T13:01:05.337
2012-09-30T21:44:14.593
686
1219
[ "logistic", "stepwise-regression", "jmp" ]
6067
1
6086
null
120
127752
Okay, so I think I have a decent enough sample, taking into account the 20:1 rule of thumb: a fairly large sample (N=374) for a total of 7 candidate predictor variables. My problem is the following: whatever set of predictor variables I use, the classifications never get better than a specificity of 100% and a sensiti...
Does an unbalanced sample matter when doing logistic regression?
CC BY-SA 2.5
null
2011-01-07T16:48:03.487
2022-07-21T17:24:22.547
2022-07-21T17:24:22.547
1352
2690
[ "regression", "logistic", "sample-size", "unbalanced-classes", "faq" ]
6070
2
null
6063
1
null
Pursuant to my discussion on the conceptual overlap between effects size and likelihood ratios [here](https://stats.stackexchange.com/questions/4551/what-are-common-statistical-sins/6037#6037), I wonder if the likelihood ratio for each effect against its respective null might serve as a useful metric to achieve the aim...
null
CC BY-SA 2.5
null
2011-01-07T17:27:20.800
2011-01-07T17:27:20.800
2017-04-13T12:44:29.013
-1
364
null
6071
1
11496
null
5
1796
I'm not sure if this is precisely a measurement error model or not. I'm working on performing meta analysis, and the model I'm starting with is fairly basic. \begin{aligned} X_i &= \mu_i + e_i \\ Y_i &= \beta \mu_i + g_i + \delta_i \end{aligned} The random components are $e_i$, $g_i$, and $\delta_i$,and the variance i...
Classical measurement error model in R
CC BY-SA 3.0
null
2011-01-07T18:02:14.250
2018-01-31T16:36:20.850
2018-01-31T16:36:20.850
101426
1364
[ "r", "meta-analysis" ]
6072
2
null
6067
53
null
The problem is not that the classes are imbalanced per se, it is that there may not be sufficient patterns belonging to the minority class to adequately represent its distribution. This means that the problem can arise for any classifier (even if you have a synthetic problem and you know you have the true model), not ...
null
CC BY-SA 4.0
null
2011-01-07T18:29:10.353
2021-07-29T18:27:50.260
2021-07-29T18:27:50.260
887
887
null
6073
2
null
5873
2
null
Thank you, whuber, for making me aware of Wald's Sequential Probability Ratio Test (SPRT). At your recommendation, I will relist this [Quantitative Skills site](http://quantitativeskills.com/sisa/statistics/sprt.htm). They will give you an out-of-the-box table to determine whether to continue or stop testing. I also to...
null
CC BY-SA 2.5
null
2011-01-07T20:05:42.093
2011-01-07T20:05:42.093
null
null
2591
null
6074
1
null
null
12
10498
Context: I am a programmer with some (half-forgotten) experience in statistics from uni courses. Recently I stumbled upon [http://akinator.com](http://akinator.com) and spent some time trying to make it fail. And who wasn't? :) I've decided to find out how it could work. After googling and reading related blog posts an...
Akinator.com and Naive Bayes classifier
CC BY-SA 2.5
null
2011-01-07T22:08:40.717
2012-04-02T07:40:39.303
2011-01-07T23:40:20.670
null
2696
[ "machine-learning", "naive-bayes" ]
6075
2
null
3779
15
null
It is very hard to draw a rack that does not contain any valid word in Scrabble and its variants. Below is an R program I wrote to estimate the probability that the initial 7-tile rack does not contain a valid word. It uses a monte carlo approach and the [Words With Friends](http://newtoyinc.com/) lexicon (I couldn’t f...
null
CC BY-SA 2.5
null
2011-01-07T23:19:55.983
2011-01-08T20:45:41.183
2011-01-08T20:45:41.183
1670
1670
null
6076
1
6085
null
2
765
I'm a statistics newbie (medical student) trying my luck with a Cox regression for a survival analysis on the outcome of a specific type of operation. And I'm trying to determine which variables to control for. And how to handle the age of the patient at operation-time (measure-start)... Currently I've set the followin...
How to handle age at measure-start in Cox regression?
CC BY-SA 2.5
null
2011-01-07T23:22:09.210
2011-01-08T15:28:00.433
2011-01-07T23:43:23.037
null
2652
[ "regression", "spss" ]
6077
1
6084
null
2
1761
Another newbie question here (probably piece of cake for you guys). When I run a Cox Regression and one of my covariates come out as significant: ``` 95,0% CI for Exp(B) B SE Wald df Sig. Exp(B) Lower Upper risk 2,224 1,107 4,036 ...
Interpretation of log likelihood and covariate significance in Cox regression
CC BY-SA 2.5
null
2011-01-07T23:48:05.703
2011-01-08T15:20:27.973
2011-01-07T23:57:54.437
null
2652
[ "regression" ]
6078
1
6088
null
3
471
I want to do a chi-squared test on data that looks like this: ``` A B 0 0 1 0 0 1 1 1 8 0 3 4 ... ``` You can think of each pair as one trial with two participants. In each trial, there are a different number of observations for each participant. I have binned each data pair like so: I counted how many pairs have 0 f...
Expected values for chi-squared test on binned paired counts
CC BY-SA 2.5
null
2011-01-08T02:52:10.047
2011-01-08T19:36:42.637
2011-01-08T05:20:53.410
52
52
[ "chi-squared-test", "expected-value" ]
6079
1
6090
null
5
5381
I did a linear regression in R and got the following result: ``` Estimate Std. Error t value Pr(>|t|) (Intercept) 192116.40 6437.27 29.844 < 2e-16 *** cdd 272.74 26.94 10.123 1.56e-09 *** pmax(hdd - 450, 0) 61.73 22.54 2.738 0.0123 * --- Sig...
R-squared result in linear regression and "unexplained variance"
CC BY-SA 2.5
null
2011-01-08T03:03:48.000
2011-01-10T18:19:19.323
2011-01-10T18:19:19.323
1764
1764
[ "regression" ]
6080
1
null
null
4
787
I'm trying to fit the GAMLSS library's Sichel distribution to some zero-truncated data, but the only way to get the function to work is to include the zero-class anyway but give it a frequency of 0, which doesn't take into account the zero-truncated nature of my data. Can anyone suggest a way to properly "redistribute"...
Zero-truncated Sichel distribution in R
CC BY-SA 3.0
null
2011-01-08T06:24:18.810
2017-03-01T12:49:00.607
2017-03-01T12:49:00.607
11887
null
[ "r", "distributions", "count-data", "gamlss" ]
6081
1
6083
null
13
9775
So assuming that there is a point in testing the normality assumption for anova (see [1](https://stats.stackexchange.com/questions/2492/normality-testing-essentially-useless) and [2](https://stats.stackexchange.com/questions/2824/checking-anova-assumptions)) How can it be tested in R? I would expect to do something lik...
Testing the normality assumption for repeated measures anova? (in R)
CC BY-SA 2.5
null
2011-01-08T11:26:07.737
2015-10-26T04:39:09.957
2017-04-13T12:44:41.967
-1
253
[ "r", "anova", "normality-assumption", "repeated-measures" ]
6082
2
null
6079
4
null
R^2 is the percent of variance in the DV accounted for by the whole model. That is, your intercept and your IVS combined account for that much of the variance, using the linear regression model. In your case, you got an R^2 of 0.85, indicating that intercept, plus cdd plus pmax combined account for 85% of the variance...
null
CC BY-SA 2.5
null
2011-01-08T11:28:51.557
2011-01-08T13:07:34.513
2011-01-08T13:07:34.513
449
686
null
6083
2
null
6081
5
null
You may not get a simple response to `residuals(npk.aovE)` but that does not mean there are no residuals in that object. Do `str` and see that within the levels there are still residuals. I would imagine you were most interested in the "Within" level ``` > residuals(npk.aovE$Within) 7 8 9 ...
null
CC BY-SA 2.5
null
2011-01-08T14:26:28.970
2011-01-08T14:26:28.970
null
null
2129
null
6084
2
null
6077
3
null
Credibility depends on context and you've not offered any. If the other 5 degrees of freedom are in the model for good reasons but you aren't particularly interested in estimating the effects, only interested in the impact of "risk", then you may have something interesting but the really wide confidence interval preven...
null
CC BY-SA 2.5
null
2011-01-08T15:20:27.973
2011-01-08T15:20:27.973
null
null
2129
null
6085
2
null
6076
3
null
You are right that you don't need to use a time-dependent model for this situation. If, however, age would be expected to have a dominant effect (as might be expected), you may be safer using an interval-censored model. With R, that is setup with three arguments to the Surv object, but I don't have any experience with...
null
CC BY-SA 2.5
null
2011-01-08T15:28:00.433
2011-01-08T15:28:00.433
null
null
2129
null
6086
2
null
6067
98
null
Balance in the Training Set For logistic regression models unbalanced training data affects only the estimate of the model intercept (although this of course skews all the predicted probabilities, which in turn compromises your predictions). Fortunately the intercept correction is straightforward: Provided you know, ...
null
CC BY-SA 4.0
null
2011-01-08T16:01:51.453
2018-11-06T21:25:56.047
2018-11-06T21:25:56.047
28666
1739
null
6087
2
null
6081
1
null
I think that the normality assumption can be assessed for each of the repeated measures, before performing the analysis. I would reshape the dataframe so that each column corresponds to a repeated measure, and then perform a shapiro.test to each one of those columns. ``` apply(cast(melt(npk,measure.vars="yield"), ...~...
null
CC BY-SA 2.5
null
2011-01-08T19:33:45.350
2011-01-08T19:33:45.350
null
null
339
null
6088
2
null
6078
3
null
First of all, if your counts come from a different number of trials, then you cannot just ignore that. Apparently your data is better represent as follows: ``` Pair Subject NTrials Hits 1 A 200 0 1 B 150 0 2 A 100 1 2 B 215 0 etc ``` Second, there does not seem t...
null
CC BY-SA 2.5
null
2011-01-08T19:36:42.637
2011-01-08T19:36:42.637
null
null
279
null
6089
2
null
6081
2
null
Another option would be to use the `lme` function of the `nlme` package (and then pass the obtained model to `anova`). You can use `residuals` on its output.
null
CC BY-SA 2.5
null
2011-01-08T19:46:46.810
2011-01-08T19:46:46.810
null
null
582
null
6090
2
null
6079
11
null
$R^2$ is the squared correlation of the OLS prediction $\hat{Y}$ and the DV $Y$. In a multiple regression with three predictors $X_{1}, X_{2}, X_{3}$: ``` # generate some data > N <- 100 > X1 <- rnorm(N, 175, 7) # predictor 1 > X2 <- rnorm(N, 30, 8) # pr...
null
CC BY-SA 2.5
null
2011-01-08T20:05:44.290
2011-01-08T22:10:36.727
2011-01-08T22:10:36.727
1909
1909
null
6091
1
6094
null
1
165
I have a bunch of data like this: ``` P1 [1, 2, 3, 4, 5, 6, 7, 8, 10] P2 [5, 8, 10, 12, 20] P3 [10, 201, 440] P4 [1, 2, 10] P5 [1, 2] ``` Right now it's ranked by the size of its data set (as shown above), so values that are heavily represented on the chart are on top e.g., P1 has the most) I'm trying to rank this dat...
Good way to rank/sort data that falls in the lower range
CC BY-SA 2.5
null
2011-01-08T21:00:42.343
2011-01-08T23:36:27.173
null
null
2664
[ "r", "distributions", "mean" ]
6093
1
null
null
0
2204
> Possible Duplicate: What book would you recommend for non-statisticians? Hello all, Which is a good book for self-learning of statistics? I tried the "Head first statistics" which starts very well, but when talking on t-distribution and some more complex issues, its quality degrades (just my opinion). Also, smth...
Good book on statistics
CC BY-SA 2.5
null
2011-01-08T23:09:08.913
2011-01-09T01:02:26.773
2017-04-13T12:44:52.277
-1
976
[ "references" ]
6094
2
null
6091
3
null
If you take the average of each row, divide by its length, and order the rows by that value, it produces the results you wanted: ``` > ranks <- unlist(lapply(p,mean))/unlist(lapply(p,length)) > ranks P1 P2 P3 P4 P5 0.5679012 2.2000000 72.3333333 1.4444444 0.7500000 > p[orde...
null
CC BY-SA 2.5
null
2011-01-08T23:36:27.173
2011-01-08T23:36:27.173
null
null
697
null
6095
2
null
6093
1
null
If you liked Feller, then you definitely need to think about a real stats book. My suggestion as a self-learner at perhaps slightly less sophisticated level than you would be to look for Cox and Hinkley's "Theoretical Statistics". Very readable for a stats text. Not much, if any, in the way of problems sets, though.
null
CC BY-SA 2.5
null
2011-01-09T01:02:26.773
2011-01-09T01:02:26.773
null
null
2129
null
6096
1
null
null
6
322
I'm working on benchmarking the speed of various JavaScript methods. Part of the benchmark process requires repeating a test for a minimum time (to reduce the percentage uncertainty to at or less than 1%). There is some overhead on each test (the cost of the loop, incrementing a counter variable and so on). I currently...
Correct way to calibrate means
CC BY-SA 2.5
null
2011-01-09T08:20:48.563
2023-03-03T10:38:46.273
2011-01-09T17:29:55.527
2634
2634
[ "calibration" ]
6097
1
null
null
6
150
Say I have a process that gives me 3 outputs: $O^1$, $O^2$ and $O^3$. The outputs are generated from a semi-deterministic process, i.e. there is a deterministic component in the outputs, along with a random component. In particular, having $n$ measurements over time, the outputs $O_j \quad j=1,2,...,n$ are -at least in...
Predicting a semi-deterministic process
CC BY-SA 2.5
null
2011-01-09T11:03:31.153
2011-01-09T23:19:23.807
2011-01-09T23:19:23.807
159
582
[ "time-series", "probability", "bayesian", "forecasting", "predictive-models" ]
6098
2
null
6046
4
null
Repeated Measures Personally I would pursue a hierarchical model where the basic observations are, for each animal, the 4 (or fewer) levels of odour and the corresponding neuronal responses. And the predictor for the per animal intercept and slope on this relationship is the animal's reproductive status. (Here I'm as...
null
CC BY-SA 2.5
null
2011-01-09T12:27:42.207
2011-01-09T12:27:42.207
null
null
1739
null
6100
2
null
6096
5
null
There is something called "small error propagation", and it says that the error of a function $f$ of variables $x_1,x_2,\cdots,x_n$ with errors $\Delta x_1,\Delta x_2,\cdots,\Delta x_n$ equals $$\Delta f=\sqrt{\sum_i\left(\frac{\partial f}{\partial x_i}\Delta x_i\right)^2},$$ so for $f(a,b):=a-b$ the error is $\Delta f...
null
CC BY-SA 4.0
null
2011-01-09T13:24:09.993
2023-03-03T10:38:46.273
2023-03-03T10:38:46.273
362671
null
null
6101
1
null
null
2
562
I have a real-life situation that can be solved using Queueing Theory. This should be easy for someone in the field. Any pointers would be appreciated. Scenario: There is a single Queue and N Servers. When a server becomes free, the Task at the front of the queue gets serviced. The mean service time is T seconds. The ...
Queueing Theory: How to estimate steady-state queue length for single queue, N servers?
CC BY-SA 2.5
null
2011-01-09T16:51:41.767
2011-04-13T10:33:54.043
2011-04-13T10:33:54.043
449
2711
[ "poisson-distribution", "networks", "simulation", "queueing" ]
6102
1
6105
null
3
2538
I'm currently applying the Roy Zelner test of poolability as shown in the excellent [article of Andrea Vaona](http://doc.rero.ch/lm.php?url=1000,42,6,20080417092244-DQ/wp0804.pdf), in fact I'm working with panel N=17 T=5, and my model looks like this : $$Y_{it}= a_0+B_1X_1+B_2X_2+B_3X_3+B_4X_4+e_{it}$$ My question ...
Why are my constraints getting dropped?
CC BY-SA 2.5
null
2011-01-09T18:51:29.387
2011-01-13T20:54:35.390
2011-01-13T20:54:35.390
8
1251
[ "regression", "panel-data" ]
6103
2
null
5026
27
null
- Statistics is concerned with probabilistic models, specifically inference on these models using data. - Machine Learning is concerned with predicting a particular outcome given some data. Almost any reasonable machine learning method can be formulated as a formal probabilistic model, so in this sense machine learni...
null
CC BY-SA 2.5
null
2011-01-09T19:59:14.237
2011-01-09T19:59:14.237
null
null
null
null
6104
1
6121
null
8
13019
I start with three independent random variables, $X_1, X_2, X_3$. They are each normally distributed with: $$X_i \sim N(\mu_i, \sigma^2), i = 1, 2, 3.$$ I then have three transformations, $$\eqalign{ Y_1 &= -X_1/\sqrt{2} + X_2/\sqrt{2} \cr Y_2 &= -X_1/\sqrt{3} - X_2/\sqrt{3} + X_3/\sqrt{3} \cr Y_3 &= X_1/\sqrt{...
Proving that the squares of normal rv's is Chi-square distributed
CC BY-SA 2.5
null
2011-01-09T20:08:12.767
2015-11-16T21:52:34.593
2011-01-10T02:02:53.867
919
1118
[ "distributions", "probability", "self-study", "chi-squared-test", "mathematical-statistics" ]
6105
2
null
6102
5
null
You have a panel data regression $$y_{it}=x_{it}'\beta+u_{it},$$ where $x_{it}$ in your case is $(1,X_1,X_2,X_3,X_4)$. Poolability tests test whether alternative model is actually correct: $$y_{it}=x_{it}'\beta_i+u_{it}.$$ So the null hypothesis is that $\beta_i=\beta$. To test this hypothesis we need to estimate $\ha...
null
CC BY-SA 2.5
null
2011-01-09T20:15:40.220
2011-01-09T20:15:40.220
null
null
2116
null
6106
2
null
6097
4
null
If you want to forecast time-series data, first you need to check whether it is [stationary](http://en.wikipedia.org/wiki/Stationary_process). Basically this means checking whether data has trends. If for example some time trend is present, you can concern yourself only with its forecast, because time-trends usually do...
null
CC BY-SA 2.5
null
2011-01-09T20:48:21.907
2011-01-09T20:48:21.907
null
null
2116
null
6107
2
null
6104
1
null
Have you tried simply multiplying out the squared Y^2's in terms of the X[1:3] terms. I suspect that when you are all done that you will see that you simply have: (1/2 +1/3 +1/6)* X1^2 + (1/2 +1/3 +1/6)*X2^2 + (1/2 +1/3 +1/6)*X3^2 . This, of course, assumes that X1X3=X3X1, i.e. that your random variable algebra is comm...
null
CC BY-SA 2.5
null
2011-01-09T21:09:26.587
2011-01-09T21:09:26.587
null
null
2129
null
6108
1
6116
null
2
803
Suppose I have a biased coin (heads with probability p), and I keep flipping it until I get t tails. So I had to flip n times in total to get t tails. How do I find a (frequentist) confidence interval for the probability of heads p?
Confidence interval for success probability in negative binomial experiment
CC BY-SA 2.5
null
2011-01-09T21:57:48.190
2011-01-10T01:31:24.363
null
null
1106
[ "confidence-interval", "negative-binomial-distribution" ]
6109
1
6117
null
3
1899
This is a softmax probability distribution: $$P(i| w_1, w_2, \ldots, w_n) = \frac{exp(w_i)}{\sum_{i=1}^n exp(w_i)}.$$ It known also as Boltzmann distribution. It is used in generalized Bradley-Terry model and in multinomial logistic regression. There are efficient minorization-maximization algorithms for infering $\vec...
Is there a SoftMax distribution with confidence parameters?
CC BY-SA 2.5
null
2011-01-09T22:08:34.650
2022-06-18T22:02:36.787
2011-01-10T02:14:39.147
919
217
[ "distributions", "maximum-likelihood", "bradley-terry-model" ]
6110
2
null
6109
2
null
The Maxwell distribution is the classical limit under conditions of high temperature and non-interacting wave functions of both Fermi-Dirac statistics and Bose-Einstein statistics. I would expect that you would want to look at the F-D statistics if you are interested in higher variance, since Bose-Einstein statistics l...
null
CC BY-SA 4.0
null
2011-01-09T22:28:29.373
2022-06-18T22:02:36.787
2022-06-18T22:02:36.787
361019
2129
null
6111
1
null
null
2
1260
Here is the problem: A survey contains 7 binary questions (Yes/No responses). If two people are answering the survey, what is the probability for their answers on 4 or more of the questions to match? In other words, if we have four or more matching answers, we can consider the overall survey response to be similar for ...
The probability for two people to provide identical answers on survey questions
CC BY-SA 2.5
null
2011-01-09T22:42:13.717
2017-02-18T19:33:24.767
2017-02-18T19:33:24.767
28666
null
[ "combinatorics" ]
6112
2
null
6111
0
null
If for each question the probability of selecting the same answer is equal to 0.5, the answer is the following: $$\sum_{i=4}^7{\binom{7}{i}p^i(1-p)^{7-i}}$$ where $p=0.5.$ In this case it is a [binomial distribution](http://en.wikipedia.org/wiki/Binomial_distribution).
null
CC BY-SA 2.5
null
2011-01-09T23:22:43.173
2011-01-10T01:54:31.270
2011-01-10T01:54:31.270
919
1540
null
6113
2
null
6063
4
null
The effect sizes of interactions in a multivariate regression can be assessed in same way as the effect sizes of any other predictor. The common thing is to look at the incremental contribution to R^2 (semi-partial R^2), but there are other possibilities, including Cohen's f^2 for nested models (this is a likelihood ra...
null
CC BY-SA 2.5
null
2011-01-10T00:19:12.147
2011-01-10T00:19:12.147
null
null
11954
null
6114
2
null
6111
2
null
I assume that the survey will be answered independently by the participants. First, you need estimates for the baseline probabilities $p_{i}$ that an answer $i$ will be answered "yes". The probability of two persons answering "yes" for question $i$ is then $p_{i}^{2}$. Likewise, the probability of two persons answering...
null
CC BY-SA 2.5
null
2011-01-10T01:07:09.440
2011-01-10T19:04:34.480
2011-01-10T19:04:34.480
1909
1909
null
6115
2
null
6109
2
null
I am not sure, but I think your probability model is a special case of [Multinomial logit](http://en.wikipedia.org/wiki/Multinomial_logit) model with no covariates and only the intercept terms ($w_i$ will be the intercepts). This is model is a special case of GLM and hence there exits an iteratively weighted least squa...
null
CC BY-SA 2.5
null
2011-01-10T01:26:19.127
2011-01-10T02:51:03.933
2011-01-10T02:51:03.933
1307
1307
null
6116
2
null
6108
3
null
If you are looking for ML estimation (which may or may not be what you want) please check the `fitdistr` function in the `MASS`library in `R`. This function can estimate the unknown parameters using ML estimation. But please be careful about the parametrization of the negative binomial distribution of `MASS`. Apart fro...
null
CC BY-SA 2.5
null
2011-01-10T01:31:24.363
2011-01-10T01:31:24.363
null
null
1307
null
6117
2
null
6109
8
null
This question appears to confuse two distinct things. Any additional parameter in the model would (by definition) describe the distribution of $i$, not the distributions of any of the $w_i$. Unless you adopt a Bayesian prior for $\vec{w}$ (which does not seem to be part of this question), the parameters do not have a...
null
CC BY-SA 2.5
null
2011-01-10T02:14:16.637
2011-01-10T02:14:16.637
null
null
919
null
6119
1
197272
null
7
5341
I'm analyzing people based on their twitter stream. We are using a 'word bag' model of users, which basically amounts to counting how often each word appears in a persons twitter stream (and then using that as a proxy for a more normalized 'probability they will use a given word' in a particular length of text). Due t...
Is principal components analysis valid if the distribution(s) are Zipf like? What would be similar to PCA but suited to non gaussian data?
CC BY-SA 2.5
null
2011-01-10T05:50:59.077
2023-01-23T16:08:31.280
2011-03-15T19:05:03.893
8
2717
[ "pca", "normal-distribution", "zipf" ]
6121
2
null
6104
4
null
We have $X_1\sim N(\mu_1,\sigma^2)$ and $X_2\sim N(\mu_2,\sigma^2)$, hence $$EY_1=E(-X_1/\sqrt{2}+X_2/\sqrt{2})=-1/\sqrt{2}EX_1+1/\sqrt{2}EX_2=0$$ \begin{align*} EY_1^2&=E(-X_1/\sqrt{2}+X_2/\sqrt{2})^2\\\\ &=E(X_1/\sqrt{2})^2-2E(X_1X_2/2)+E(X_2/\sqrt{2})^2\\\\ &=1/2\sigma^2+1/2\sigma^2=\sigma^2 \end{align*} Hence $Y_1...
null
CC BY-SA 3.0
null
2011-01-10T08:10:03.080
2014-04-17T19:27:03.137
2014-04-17T19:27:03.137
37240
2116
null
6122
1
6124
null
2
1062
I have almost two questions. I need a single covariate logistic regression (LR) for each of my variables. Should I do it manually in SPSS, selecting each variable and do logistic regression? Is there a "for each" cycle to do it? I should switch to R language to have what I want. In the multivariables (multi covariates...
Simple and multiple logistic regression
CC BY-SA 2.5
null
2011-01-10T09:54:02.767
2011-01-10T15:04:25.203
2011-01-10T10:37:10.423
930
2719
[ "r", "logistic", "spss" ]
6123
1
6140
null
5
515
I have a sample survey of a population whose distributions of certain characteristics are not identical to the distributions of the overall population. For example, the age of my respondents may be biased downward, or the incomes in my sample may be too high compared to the population (or my theoretical population dis...
Is it possible to weight survey observations to more than one distribution?
CC BY-SA 2.5
null
2011-01-10T10:06:20.720
2011-01-10T20:17:54.023
null
null
1195
[ "distributions", "survey" ]
6124
2
null
6122
4
null
If I understand you correctly, you want to fit two successive simple logistic regression model. I don't know if there's a specific instruction in SPSS that allows to switch the covariate of interest or cycle through them, but I guess you can run the two models in succession. In R, if your data are organized in a matrix...
null
CC BY-SA 2.5
null
2011-01-10T10:33:39.490
2011-01-10T10:33:39.490
null
null
930
null