# Tagged Questions

Statistical significance refers to the probability that, if, in the population from which this sample were drawn the true effect were 0 (or some hypothesized value) a test statistic as extreme or more extreme than the one gotten in the sample could have occurred.

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### Test to measure the significane of performance enhancement

I have 5 different computational tasks. I executed both tasks on two laptops named LA and LB. Out of 5 tasks, 4 tasks were computed in less time on LB, while 1 task took less time on LA. I want to ...
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### How to exclude interaction effect in linear regression modelling?

I am working with biological dataset. I am looking for significantly differentially expressed genes that stand out under effect of 3 different factors (e.x. gut microbiota level has/not, tissue, ...
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### Relationship between $H_{0}$, $H_{1}$ and the Power of the (one sided) hypothesis test

Suppose we wish to test$H_{0} : p = 0.5$ vs $H_{1} : p = p_{1}$ (where $p_{1} \gt 0.5$ What are the relative difficulties of testing for $p_{1}$ close to $0.5$ or $p_{1}$ far from $0.5$? I know that ...
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### Significance cutoff point for multiple testing

I have some results from a genome wide association study, which basically fits $n$ linear models for one trait $y$ and $n$ genotypes $x_1, x_2, \cdots, x_n$: \begin{align*} y &\sim b_{10} + ...
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### Comparing two means

I have a question on comparing means and I would be really thankful if you could help... I have a data set that contains responses from a questionnaire (so one group only, N=216). The questionnaire ...
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### Interpreting the change of significance when adding an independent dummy variable

I have a regression with my dependent variable being the number of visitors and my independent variable being the presence or absence of a certain kind of ad. Now, when I run the regression my ...
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### Co-occurrence Poisson binomial distribution

I'm using a Poisson binomial distribution for co-occurrence testing. I've 2 variables : X ~ Binom(px,n) and Y ~ Binom(py,n) (px and py are the probabilities, and both variable have the same number of ...
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### How to derive variance in data tracked over inconsistent (irregular) time intervals?

Background (skip if tl;dr) The close votes review queue at Stack Overflow looks pretty hopeless. I'm holding a weekly hour-long chat room event where users can congregate to review close votes ...
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### Help with binomial probability sample test formulation

This is a natural experiment, so I can not 'resample': My population has a property with 9 possible values: 1,2,3,9. Each value has a probability associated with it. For example 1's occur 10% but ...
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### Filter insignificant proportions statistically

I have a set of proportions: $(1/10,4/6,1/1,1/1,13/18,3/3,55/57,2/20,416/441,23/29,4/4,...)$. The numerator stands for number of links to some finite group $\{A,B,...\}$, the denominator stands for ...
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### Age Interactions in mixed models

We are using a mixed model to describe trends as subjects age. We have multiple measurements per subject of a continuous outcome. We also adjust for the age at entry into the study. It is of ...
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### Predictive features with high presence in one class

I am doing a logistic regression to predict the outcome of a binary variable, say whether a journal paper gets accepted or not. The independent variable or predictors are all the phrases used in these ...
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### How to address and acknowledge a significant interaction that has little practical meaning

I am building a model with a highly significant interaction. This interaction was one of our main hypotheses. It is clear, however, that the form that the interaction takes does not represent a ...
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### Bootstrapping regression slopes - p-value and significance level

I have a data set showing an (exponential) increase in the size of an animal population over time. I can fit an exponential model to these data and obtain an estimate of the population growth rate ...
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### Chi-square analysis

I am trying to determine association between my independent variables (categorical, nominal) and dependent variables (categorical, nominal). What other statistical analysis I can use aside from ...
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### Dramatic changes in the results from glmm with slight changes in dataset

I am running a GLMM in R using the glmmPQL code from the MASS package. I have been getting a convergence error from the following code. ...
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### Determining best approximator based on repeated measurements

I have a set of data (which I have attached a plot of for your convenience) in which I have 2 categories of interest - let's call them A and B. For each of them I want to select from a series of ...
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### How to build the best regression model using stepwise regression?

I have a data set that contains rental cost (Dependent variable) and I have another data sets that are potential predictors like city, area, No. of rooms etc. (Independent variables). I have ...
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### Regression when IV and DV are continuous

I have 2 groups with 30 subjects each who completed the MMPI-2. I have 4 continuous independent variables (IVs) (MMPI-2 validity scales) and one continuous dependent variable (DV) (MMPI-2 Scale 2). ...
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### Repeated Measures of Dependent Randomized Conditions

I'm designing an experiment to evaluate how learnable a software tool is. The basic setup is to have $n$ subjects perform $m$ tasks in a random order, and then test whether the subjects performed ...
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### Testing significances in Likert type items

I have a questionnaire of 18 questions with Likert-type answers, going from 1-5. One of them was administered to parents, one to their children. I need to test 2 thing: a) within each group, are the ...
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### Finding the most relevant factors that lead to an event

I have been tasked with looking at a set of data with about 6000 records that each have 60 or so qualities associated with them (Let these be X1, X2, ... ) and determining what are the top 8 factors ...
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### Statistical significance in yes/no poll question

I have no statistics background, but an trying to complete my first quantitative research survey writeup for my researcher in education class and hope someone can direct me. I created a poll of 62 ...
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### Combining similarity scores

I have a list of m x n similarity score matrix, something like ...
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### Which test of significance should be used on a survey question with multiple response

I asked a simple survey question and gave 12 options where an individual can choose from 1-12 items. I calculated the frequencies of each item by taking the number of responses to the particular item ...
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### Going from rejecting the null to inferring the sign of the population parameter

If I reject a nil-null of no differences in a two-sided test, my confidence in the sign of the population parameter should be equal or greater than my confidence in rejecting the null, correct? For ...
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### One experiment with many (dependent!) hypotheses for motif prediction in dna sequences

I am having the following problem. I have a group of words which are all permutations of each other. On a random dataset of DNA sequences I can calculate the distribution of the number of word ...
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### I have a discrete distribution and want to know to what extent other samples differ from it, what is the right test?

This is kind of a basic stats question, but I want to make sure I am doing this right. I have a distribution of objects. Specifically: ...
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### Interpretation of Kolmogorov-Smirnov Generated Distributions [duplicate]

Note that this question is posted in Cross Validated but as of this writing have received no replies. As a non-statistician, I need help in interpreting a distribution generated from KS. A customer ...
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### Statistical test for comparing groups of genes

I have RNA-Seq gene expression data (essentially normalized count data) for different samples of mouse brain. I have separated the genes into groups based on their spatial expression pattern. What I ...
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### Identifying a trend in binomial experiments

I have a survey running each month that's answered each time by a random set of people. I want to investigate the trend in a particular set of questions to see whether opinions are changing over time. ...
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### Interpreting MLA results with interaction term [duplicate]

We are using multilevel logit regression (using R software). I have a bit of a debate with my colleague about how to interpret our results. In our first example, we are juggling the following ...
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### Testing for difference between two percentages (using confidence intervals) [duplicate]

I wish to test for whether the difference between 2 percentages is significantly different. For each percentage there are associated confidence intervals, which I need to incorporate into the test (CI ...