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I'm trying to compute the minimum sample size for a psychometric test based on 7 point Likert scales. I'd like to run ANOVA on each scale to look for differences between groups.
Most online survey sample size calculators seem to be designed for polls, e.g. Yes/No, Agree/Disagree. They take as input population size, a c... |
Covariance between two random variables defines a measure of how closely are they linearly related to each other. But what if the joint distribution is circlular? Surely there is structure in the distribution. How is this structure extracted?
|
I have done an experiment to find the effective n/w bandwidth.
The data I got in kbps is
223, 221, 510, 220, 471, 229, 222, 221, 220, 221
How can I find the effective bandwidth? Averaging gives 275.8. But if I have done only first 4 rounds then the average is 293.5. How can I find out a more reasonable value as the e... |
Contingency tables are typically formatted as tables similar to matrices in mathematics, see this example.
Is the equation below an accepted notation of expressing the probabilities of the outcomes as a matrix? If not, what would be the accepted way? Are there any published materials using the same notation?
$$
\wideha... |
Suppose I have survey responses that look like this:
N=60000, Population
n=1000, Total sample
n=800, Users of Company X
n=200, Randomly chosen from 800 and asked about their Future Use of Company X
n=100, Planning to use Company X less in the future
The reason that only 200 of 800 users were asked about future use w... |
Reading Field's Discovering Statistics Using SPSS (3rd Edition) I was struck by a bit about post-hoc tests in ANOVA. For those wanting to control the Type I error rate he suggests Bonferroni or Tukey and says (p. 374):
Bonferroni has more power when the
number of comparisons is small,
whereas Tukey is more powerfu... |
Possible Duplicate:
Probability distribution value exceeding 1 is OK?
I'm a bit confused how I am getting probabilities greater than 1 when calculating p(x | mu, sigma) when x = mu. For example, if I run:
>> gaussProb(0, 0, 0.1)
ans =
1.2616
where gaussProb is a matlab function from the PMTK toolbox:
function ... |
I am trying to fit a multilevel longitudinal model and i have a question regarding how to specify it.
The data consist of about 8k observations collected from about 3k individuals at four time points. Individuals are nested in groups and there are about 200 groups.
I have two different types of fixed effects: (a) repea... |
I'm running a binary logit regression where I know the dependent variable is miscoded in a small percentage of cases. So I'm trying to estimate $\beta$ in this model:
$prob(y_i) = 1/(1 + e^{-z_i})$
$z_i = \alpha + X_i\beta$
But instead of the vector $Y$, I have $\tilde{Y}$, which includes some random errors (i.e. $y_i... |
I'm trying to create something similar to this.
So, 3 different Node classes, and a whole bunch of relationships between them. In my case, there should be roughly half of the number of nodes present at most.
What I'm looking for is recommendations as to the best way to create a similar type of graph. Spent some time l... |
I am quite a newbie in this area:
What are the boosting methods for regression systems? I know about Gradient boosting; are there any other approaches?
Are there textbooks or tutorials devoted to this area?
|
Context:
My research aims to assess whether parents who have been involved in a relationship with a social worker are at higher risk of child abuse/neglect.
I am trying to establish whether there exists a relationship between social workers' attitude toward the parents that reflect an overall outcome of the case (posit... |
I would like to predict the average number of days in a year for which two conditions are true:
daily average temperature is below zero celsius
the day was preceded by at least four days with daily average temperature below zero celsius
I've historical daily average temperature data for the location available for abo... |
How do you compute confidence intervals for positive predictive value?
The standard error is:
$$SE = \sqrt{ \frac{PPV(1-PPV)}{TP+FP}} $$
Is that right? (here my concern is the denominator)
Does that formula work for any similar ratio in a 2x2 table. E.g. for sensitivity, it would be
$$SE = \sqrt{ \frac{SENS(1-SENS)}{F... |
Context:
I have two data sets from the same questionnaire run over two years. Each question is measured using a 5-Likert scale.
Q1: Coding scheme
At the moment, I have coded my responses on a [0, 1] interval, with 0 meaning "most negative response", 1 meaning "most positive response", and other responses spaced evenly ... |
Over the years, I picked up many Statistics Concepts in by a variety of situations and means. I studied some Statistics maybe for a couple semesters almost 10 years back. But I also picked up concepts while doing Machine Learning work. I only understood things in a narrow scope - I always tried to get away knowing only... |
This is a question of definition, does the stats community differentiate these terms?
|
I'm wondering how to test the significance of factor(s) and/or covariate(s) along with modeling the causal relationship among responses.
Let me explain this with a concrete example.
Example:
Suppose a researcher observed four responses Y1, Y2, Y3, and Y4 along with three covariates X1, X2, and X3 from an experiment inv... |
I'm trying to fully understand the confidence interval formal given on this site:
$$\hat{\mu}\pm z_{1-\alpha/2}\sqrt{\frac{\hat{\mu}(1-\hat{\mu})}{n}}$$
so I can reproduce the same type of intervals for my own data. But I don't quite understand what the parameters such as $\alpha$ and $Z$ mean. I'm guessing they're r... |
Following on from my earlier question, the solution to the normal equations for ridge regression is given by:
$$\hat{\beta}_\lambda = (X^TX+\lambda I)^{-1}X^Ty$$
Could you offer any guidance for choosing the regularization parameter $\lambda$. Additionally, since the diagonal of $X^TX$ grows with the number of observat... |
Suppose I have a model of stock prices developed using Brownian motion. I have a second time series derived from the first. At each price point in the first time series, I take the arithmetic mean up to that point and that is the data point for my second time series. The volatility of the second time series is lower... |
I'm trying to replicate the paper of Blundell et al. (2008) to separate permanent and transitory shocks on income on a panel dataset.
He solves the non-linear system of equations using Chamberlain's minimum distance estimator (it is shown in the appendix of the paper), but I haven't found a library, nor in R, nor in ST... |
I'm looking for an implementation of a fast maximum rank correlation (MRC) estimator. This will be applied to large-ish sparse matrices (~100,000 by 10,000) in a text-mining application.
I'm working in python and R, so it would be nice to find something in those languages. Failing that, I could probably convert code fr... |
I have many time series in this format 1 column in which I have date (d/m/yr) format and many columns that represent different time series like here:
DATE TS1 TS2 TS3 ...
24/03/2003 0.00 0.00 ...
17/04/2003 -0.05 1.46
11/05/2003 0.46 -3.86
04/06/2003 -2.21 -1.08
28/06/2003 -1.18 ... |
My attempts:
I couldn't get confidence intervals in interaction.plot()
and on the other hand plotmeans() from package 'gplot' wouldn't display two graphs. Furthermore, I couldn't impose two plotmeans() graphs one on top of the other because by default the axis are different.
I had some success using plotCI() from pac... |
I have samples with each sample has n features, how to normalize these features to let feature values lie between interval [-1,1], please give a formula.
|
I am currently working with large datasets that have missing data points. My data ranges from the years 1979-2009. I want to choose, by year, the maximum value from that year. Missing values are replaced with a "."
I am currently using the formula:
{=MAX((E13:E2863=1979)*(H13:H2863))}
This array returns the max value ... |
I have two datasets from genome-wide association studies. The only information available are the odd ratios and their confidence intervals (95%) for each genotyped SNP.
My want to generate a forest plot comparing these two odds ratios, but I can't find the way to calculate the combined confidence intervals to visualize... |
Question:
Is it possible to get log liklihood values for my stepwise glms?
Context:
I am able to get a logliklihood value using lmer with the following model. My study involves unbalanced repeated females, two sites (females don't exchange between sites), 8 predictors, and a response.
(glmfit1 <- lmer(Response ~... |
The Singular Value Decomposition (SVD) of a matrix is
$$A_{m\times n} = U_{m\times m}\Lambda_{m\times n} V_{n\times n}'$$
where $U$ and $V$ are orthogonal matrices and $\Lambda$ has (i, i) entry $\lambda_i \geq 0$ for $i = 1, 2, \cdots , min(m, n)$ and the other entries are zero. Then the left singular vectors $U$ fo... |
I came across the article by Hervé Abdi about generalized SVD. The author mentioned:
The generalized SVD (GSVD) decomposes a rectangular matrix and takes into account constraints imposed on the rows and the columns of the matrix. The GSVD gives a weighted generalized least square estimate of a given matrix by a lower... |
I have a software application which uses a queue and multiple processors to process those jobs. Jobs get re-run on a daily basis for customers, but we also have new customers signing up regularly.
The problem is that customers generally sign up during office hours, and the daily re-running of the jobs simply schedules ... |
Currently I am working with Text Mining which includes sentiment identification and assigning corresponding business categories using open source tool R. I found these two documents which helped me to some extent:
http://www.jstatsoft.org/v25/i05/
http://epub.wu.ac.at/1923/1/document.pdf
My approach is to tokenize th... |
I've just started playing with the R forecast package and found I must be doing something wrong because I can't get a decent prediction for a simple sinus.
weightData <- data.frame(weight = sin(seq(1:100)), week=1:100)
weight <- as.numeric(weightData$weight)
predicted <- forecast(weight,h=3,level=95)
# see the predic... |
You can use the decathlon dataset {FactoMineR} to reproduce this. The question is why the computed eigenvalues differ from those of the covariance matrix.
Here are the eigenvalues using princomp:
> library(FactoMineR);data(decathlon)
> pr <- princomp(decathlon[1:10], cor=F)
> pr$sd^2
Comp.1 Comp.2 Com... |
Firstly, by analytically integrate, I mean, is there an integration rule to solve this as opposed to numerical analyses (such as trapezoidal, Gauss-Legendre or Simpson's rules)?
I have a function $\newcommand{\rd}{\mathrm{d}}f(x) = x g(x; \mu, \sigma)$ where
$$
g(x; \mu, \sigma) = \frac{1}{\sigma x \sqrt{2\pi}} e^{-\f... |
I am running a regression equation and I want to enter in 12 indepdendent variables then stepwise enter 7 more independent variables and not have an origin.
DV is shfl.
I want to enter in the following 12 independent dummy variables
ajan
bfeb
cmar
dapr
emay
fjun
gjul
haug
isep
joct
knov
ldec
And then I want to en... |
I am working on a real-time recommendation engine. At one step, I have a feature that resembles a string-encoded item set, so I took Jaccard on the tokenized string to get a good similarity result. Frankly, Jaccard offers great results, but it takes far too much time on runtime.
My current prototype environment for thi... |
I am new to R and to time series analysis. I am trying to find the trend of a long (40 years) daily temperature time series and tried to different approximations. First one is just a simple linear regression and second one is Seasonal Decomposition of Time Series by Loess.
In the latter it appears that the seasonal com... |
As a part of my studies, I’m trying to cluster co-occurrences of URLs and tags in data from Delicious. I found a promising method for this in a paper called “Emergent Semantics from Folksonomies: A Quantitative Study” (pages 6-13). It used a Separable Mixture Model (SMM, described in the paper “Statistical Models for C... |
I'm analyzing the results of a hormone manipulation experiment. I measured a number of variables at three times in three groups. The groups are different sizes and not all individuals were measured every time, so I'm using GLMM rather than a repeated-measures ANOVA. I created the model then tested the significance of t... |
If I wanted to get the probability of 9 successes in 16 trials with each trial having a probability of 0.6 I could use a binomial distribution. What could I use if each of the 16 trials has a different probability of success?
|
I have a time series data of 30 years and found that ARIMA(0,1,1) has best model among others. I have used the simulate.Arima (forecast package) function to simulate the series into the future.
library(forecast)
series <- ts(seq(25,55), start=c(1976,1))
arima_s <- Arima(series, c(0,1,1))
simulate(arima_s, nsim=50, f... |
I work for a commission-based company that gives accounts to employees for about a month and the employees try and resolve the account, if they are successful they get a commission, otherwise the account goes to another employee to try and resolve.
We are running some reports to measure some performance characteristic... |
I am creating a term to describe a design that may not be the proper term ("Staggered within subjects design"). What I mean by this is one can imagine a within subjects design with 3 levels. Each participant provides data for two levels, and between participant the order in which the data is collected is counter-bala... |
I'm working on a project that will convert $USD to other currencies. The system will use average monthly exchange rates instead of daily because of pre-existing limitations. I need to calculate an estimate of the amount of error that will result from using monthly average. My idea is to
Download historical daily ex... |
This is a statistical version of my Math.SE post.
Given natural numbers $b$ and $r$, uniformly randomly choose $b+r$ points within a unit square. Call the $b$ points the blue points and the $r$ points red points. Let $p(b,r)$ be the probability that $H_r$, the convex hull of red points, overlaps with $H_b$, that of t... |
I have 150 observations, 500 features, and I am interested in novelty detection (outlier detection): given a new observation (let's say 'patient') I want to know if it is different from the previous ones (let's call it 'control'). If I had a lot of data, I would probably be using statistical testing at the univariate p... |
I've run across a couple guides suggesting that I use R's nlm for maximum likelihood estimation. But none of them (including R's documentation) gives much theoretical guidance for when to use or not use the function.
As far as I can tell, nlm is just doing gradient descent along the lines of Newton's method. Are ther... |
I am sick of using the examples in the book. Is there an easy place to find data for which z-score/percentile/normal distribution stuff would be easy to see?
|
I'm familiar with the diagnostics required for OLS, however I'm in new territory with a model I'm fitting to data in R, using Poisson regression with GLM.
What are the standard methods in evaluating a WLS model?
|
I am trying to determine model significance using:
1-pchisq(null deviance-residual deviance, null df- residual df)
I have 5 models:
Four models were estimated with GLMs, which gave me null and residual DFs in the summary.
The fifth model was estimated with the lmer function because of the nested structure of my data... |
I know that in a regression situation, if you have a set of highly correlated variables this is usually "bad" because of the instability in the estimated coefficients (variance goes toward infinity as determinant goes towards zero).
My question is whether this "badness" persists in a PCA situation. Do the coefficients... |
Let $A\in\mathbb{R}^{n \times n}$ be a dense symmetric positive-definite matrix (the $X^TX$ from here) and $b$ a vector in $\mathbb{R}^n$.
I need to compute $A^{-1}b$.
Two questions:
Could you recommend an efficient and numerically stable algorithm for computing $A^{-1}b$ for $n \approx 1000$?
Let $\tilde{A_i}$ denote... |
When measuring the quantization error of a clustering, should the distance between samples/centroid be squared or not? I found both variants in the literature.
Furthermore, is (squared) quantization error not the same as squared sum of errors?
|
Assume you have a class of approximately 800 students and following a set of assessments each student has a raw grade.
How should these raw grades be converted into a final grade?
Is it a good idea to scale the raw grades to a normal distribution?
|
I've got more than 20 (10 point likert scale) variables with more than 1000 entries each. What I want to do is compare the means of the answers on the questions.
A one-way anova seems suitable for this, but you can only categorize by the values of a variabele. I want to categorize by question, the variable itself.
Is t... |
I have 2 genes (tf1 and tf2), which are affecting a third gene (tg). By affecting a gene I mean the changes in the value of tf1 and tf2 changes the value of tg. what we measure in the whole experiment is this value. We want to see if the values of tf1 and tf2 are dependent (which means they are regulating each other) a... |
I was recently exposed to some statistical hypothesis testing methods (e.g. Friedman test) at work, and I would like to increase my knowledge on the topic.
Can you suggest a good introduction to statistical significance / statistical hypothesis testing for a computer scientist?
I am thinking of a PDF book or similar, ... |
This is an elementary question, but I wasn't able to find the answer. I have two measurements: n1 events in time t1 and n2 events in time t2, both produced (say) by Poisson processes with possibly-different lambda values.
This is actually from a news article, which essentially claims that since $n_1/t_1\neq n_2/t_2$ t... |
I have the total number of calls received each week and have plotted them on a chart, going back nearly 3 years.
By eye it seems that there was a massive drop over Christmas, that doesn't seem to have recovered, it seems that there has been a step change in requests.
Is there a test I can do that can quantify this diff... |
Long ago I learnt that normal distribution was necessary to use a two sample T-test. Today a colleague told me that she learnt that for N>50 normal distribution was not necessary. Is that true?
If true is that because of the central limit theorem?
|
I have fit two generalized estimating equation (GEE) models to my data:
1) Model 1: Outcome is longitudinal Yes/No variable (A) (year 1,2,3,4,5) with longitudinal continuous predictor (B) for years 1,2,3,4,5.
2) Model 2: Outcome is the same longitudinal Yes/No variable (A), but now with my predictor fixed at its year ... |
I have a huge dataset which contains 20 columns and many rows.
I have done clustering in SAS, Knime and SPSS, but I am new to R.
I have to do clustering on my dataset.
I have imported my data into R.
What are some suggestions for getting started with cluster analysis in R?
|
Excuse what may be an obvious question about bootstrapping. I got sucked in the Bayesian world early and never really explored bootstrapping as much as I should have.
I ran across an analysis in which the authors were interested in a survival analysis related to some time to failure data. They had about 100 points a... |
Adapted from my previous, unanswered question:
I'm analyzing the results of a hormone manipulation experiment. I measured a number of variables at three times in three groups. The groups are different sizes and not all individuals were measured every time, so I'd like to use GLMM rather than a repeated-measures ANOVA. ... |
I'm not really a statistician, but rather in need of statistical guidance, so I hope this is not too much of an off-topic question.
I'm writing a master's thesis (computational linguistics/NLP), and I've got several result sets I'm comparing. Now, I didn't really formulate a null and an alternative hypothesis before I ... |
I am currently using principal components analysis to select variables to use in modelling. At the moment, I make measurements A, B and C in my experiments -- What I really want to know is: Can I make fewer measurements and stop recording C and or B to save time and effort?
I find that all 3 variables load heavily ... |
I want to predict a continuous variable like porosity from remote sensing data. Let's say I have a measure of the reflectivity of the surface of the earth, densely sampled over an area. And I have rock porosity at some locations. So I'd like to calibrate the former to the latter, and transform reflectivity to porosity.... |
I am using a distributed lag model to analyze a time series data. The duration of study period is 18 years, and the observation is yearly data. When including a 1-year lag effect, the first year of the lag variable becomes missing. Then, a 2-year lag effect makes the first two data of lag variable missing, and so on.
... |
The health screening for immigration to the US includes a mandatory chest x-ray screening for all adults, with the aim of detecting signs of tuberculosis. If the x-ray indicates the possibility of TB, the applicant then submits sputum samples for culturing. That's a lot of x-rays - and many of them don't result in po... |
For example, say we have three coins. Due to several tests, we have 95% confidence intervals for X (the heads percentage) of each coin. Coin A is 0-5%, coin B is 1-9%, and coin C is 40-70%.
[For the curious, these CI's were created using inverse binomial CDF, based a small sample of ~30 flips of the coin. Not su... |
Is it possible have an SES where the component equations are probabilistic, say, logit or probit? I am evaluating a number of quality metrics of services provided by a number of providers. The metrics are binary (pass/fail quality certification). The obvious approach would appear to be to estimate the logit/probit equa... |
I am interested in using the MacKinnon product of coefficients test to assess mediation. Is there a quick way to carry out these calculations and determine significance based on the obtained statistic?
|
Background:
I've modeled a project effort prediction as a Google Spreadsheet template. Details of the Model: http://sites.google.com/site/effortprediction/methodology
.Google Spreadsheet does not implement beta distribution functions.
In PERT a beta distribution is used to estimate the effort of a task in Ideal Person ... |
Is there such a formula? Given a set of data for which the mean, variance, skewness and kurtosis is known, or can be measured, is there a single formula which can be used to calculate the probability density of a value assumed to come from the aforementioned data?
|
I am modeling Diabetes Prediction using Logistic Regression. The dataset used is the Behavioral Risk Factor Surveillance System (BRFSS) of the Center for Disease Control (CDC). One of the independent variables is High Blood Pressure. It is categorical with the following levels 'Yes', 'No', 'Don't know/Refused'. Should... |
I wonder if two identical time series are cointegrated. Can anyone shed some light on this? Thanks
|
I'm hoping that someone can explain, in layman's terms, what a characteristic function is and how it is used in practice. I've read that it is the Fourier transform of the pdf, so I guess I know what it is, but I still don't understand its purpose. If someone could provide an intuitive description of its purpose and pe... |
I've read the sampling error examples in Wikipedia, but I still don't understand. Could you give me a simple and characteristic example for sampling error?
|
Suppose you wish to test the hypothesis that the mean of a distribution equals the median, given some samples drawn from the distribution. How would this be done? I am guessing that the test statistic would be (the absolute value of) the sample mean minus the sample median, but am not sure about the standard error of t... |
I believe that for ANOVA unbalanced means unequal groups. But for randomised controlled trials unbalanced seems to mean something like groups of different characteristics despite randomisation. So in case of RCTs does unbalanced simply mean unlucky randomisation? Nothing to do with group sizes? What's the definition of... |
First of all, I realize multiple regression does not really give actually "causal" inferences about the data. Let me explain my current case:
I have four independent variables which I hope (but am not sure) are involved in driving the thing I'm measuring. I wanted to use multiple regression to see how much each of thes... |
I've read that the chi square test is useful to see if a sample is significantly different from a set of expected values.
For example, here is a table of results of a survey regarding people's favourite colours (n=15+13+10+17=55 total respondents):
red, blue, green, yellow
15, 13, 10, 17
A chi square test can tell me... |
standard deviation (std) can be used when arithmetic mean is the right statistic. What is the equivalent of std when geometric mean is the right statistic?
|
I am using R software (R commander) to cluster my data. I have a smaller subset of my data containing 200 rows and about 800 columns. I am getting the following error when trying kmeans cluster and plot on a graph:
'princomp' can only be used with more units than variables
I then created a test doc of 10 row and 10 c... |
I'm kind of new doing data mining, so sorry if my question is not very clear.
I'm working in a project that is aiming to do data mining over the interactions of the students with a e-learning platform. So, I'm trying to generate decision trees with some data that I collected (number of times that student use a resource... |
Sometimes they ask questions in different orders, or use different prompts.
Or datasets with instruments (with at least one variable randomized)?
I would like to use at least one of them for my causal modelling course (Stat 566), whose syllabus is at https://www.stat.washington.edu/tsr/s566/syllabus566.pdf
|
I've learnt that small sample size may lead to insufficient power and type 2 error. However, I have the feeling that small samples just may be generally unreliable and may lead to any kind of result by chance. Is that true?
|
Many randomised controlled trial (RCT) papers report significance tests on baseline parameters just after/before randomisation to show that the groups are indeed similar. This is often part of a "baseline characteristics" table. However, significance tests measure the probability of getting the observed (or a stronger)... |
am writing a simple R script to test the spectral clustering algorithm but for the eigenvalues I don't get them all positive and lambda0 is different from 0. here is my script
Dsqrt<-matrix(0,length(V(g)),length(V(g))) # The D^-0.5 matrix
for(i in 1:(length(V(g))-1))
Dsqrt[i,i]<-1/sqrt(degree(g,V(g)[i-1]))... |
I wish to infer the posterior distribution on the probability of success $\theta$ in some binomial process, the twist being that I know that $\theta$ lies in the interval [0.5, 1].
The trouble is that a Beta distribution that is supported on [0.5, 1] is no longer conjugate. In particular, the prior looks like this ($p... |
I have 3 different groups: A, B, and C:
A (has a medical condition) has 30 entries
B (another medical condition) has 31 entries
C (control group) has 55 entries
All participants have information on the same set of variables.
I want to assess whether there is a statistically significant difference in risk of a speci... |
If an item follows normal distribution, average also follows normal distribution. What about minimum and maximum?
|
Suppose I have a set of sample data from an unknown or complex distribution, and I want to perform some inference on a statistic $T$ of the data. My default inclination is to just generate a bunch of bootstrap samples with replacement, and calculate my statistic $T$ on each bootstrap sample to create an estimated distr... |
My new computer clock runs at a rate that changes in odd steps over time, even after I tuned it via the Linux adjtimex software. Here is a plot of the change in the cumulative clock drift for each of about 1700 samples taken every 10000 seconds, with a bunch of missed points and outliers when I was off the network and... |
Possible Duplicate:
Books for self-studying time series analysis?
I am new to time series modelling altogether. But I am aware about regression modelling and some data mining algorithms like decision trees.
I want to learn time series from scratch. My background is Mathematics. Please suggest me any good book/materi... |
I am assessing how good different features are for unsupervised classification of a set of objects. For each different feature I test, I have computed a feature vector that describes the object. I then want to get a metric out for how 'good' this vector is at separating the objects into their respective classes.
My cur... |
I have a bit of a problem with the tm R package for cleaning text documents.
Here is how my code looks like:
library("tm")
# import text files in corpus text – ok
c_txt <- Corpus((DirSource(directory = ".", pattern ="txt",
encoding = "UTF-8")), readerControl = list(language = "rus"))
# convert to Low... |
My data set is comprised of either total mortality or survival of an organism at three site types, inshore, midchannel and offshore. The numbers in the table below represent the number of sites.
100% Mortality 100% Survival
Inshore 30 31
Midchannel 1... |
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