Hypothesis testing assesses whether data support a given hypothesis rather than being an effect of random fluctuations or some other process described by an alternative hypothesis.

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3x2 design - data analysis ANOVA/MANOVA? How to add interaction in the model?

Discription of experiment I am researching "The effect of review valence and brand commitment on consumer's purchase intention" for my university thesis. I conducted a 3x2(no review/positive ...
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8 views

which test to use here to test the significance of overlap with respect to a control?

i'm not sure what statistical test to use to compare a scenario like this: I have a list of candidate regions A (560k regions) and I want to know if my candidate regions enrich for a particular set ...
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7 views

Evaluating productivity metrics in an A/B test system

I'm beginning work on an A/B testing system for UX changes to a tool my team builds. Our users are doing simple, repeatable tasks assigned by another team's system. My team handles the UI/UX part. ...
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2answers
59 views

Help for planning a neuroscience experiment

I'm new here. I am planning a neuroscience experiment. I will be measuring brain signals from about twenty subjects. I will present the subjects four different kinds of stimuli. After all the data ...
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21 views

Bayesian mean square error

Given a i.i.d sample $X_{1},..,X_{n}$ of bernoulli random variables test 2 hypotheses $H_{0}:p=2/3$ and $H_{1}:p=1/3$. Bayesian prior is $\pi(2/3)=1/3$ and $\pi(1/3)=2/3$. Find the bayesian criterion ...
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17 views

Difference test between 2 groups where both groups contain depended and independent observations

Is there a statistical test to check the difference between groups (for example a paired sample proportion test), but where some of the observations of the two groups are dependent and some of the ...
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22 views

How would I find the P-Value of this data?

I have the following data (relating to consecutive months at current job): Mean: 45.4 Standard Deviation: 60.89 Sample Size: 48 I am asked to do a one-tailed test at a 1% significance level and ...
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1answer
22 views

Probability of Two Samples Containing Overlapping Data

Quick question about sampling a data population that contains non-overlapping data: if I take two samples of 50 from a population of 100,000 unique data points, how would I calculate the probability ...
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41 views

Poisson distribution confidence interval

Edit : this is the data I used for the first part of the problem : \begin{matrix} Rocks & 0& 1& 2& 3& 4& 5& 6 & 7\\ samples & 12& 27& 28& 19& ...
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34 views

Testing for the compatibility of inferences

Consider that I have two balances (called 1 and 2). Each of these balances gives a posterior distribution for the weight of the object of the form $m_1 \pm s_1$ (for balance 1) and $m_2 \pm s_2$ (for ...
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20 views

Comparing two means and need to know if they are statistically different

I have the net revenue from 81 companies in one year and I'm comparing to the net revenue of the same 81 companies 3 years later. How do I compare (simple subtraction of the means or t-test?), and how ...
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11 views

How to test the mean difference of two Gamma distributions

If I don't have the data, but only have the estimates of mean and variance of two independent Gamma distributions. What type of test I can use to test the null hypothesis μ1=μ2?
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1answer
13 views

F-test formula under robust standard error

I am attempting to write a program that will (among other things) use the F-test in multivariate regression under standard robust errors. I am having trouble finding a specific formula for the ...
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1answer
26 views

impact on hypothesis if t-stat is equal to t-critical value for one-tail two-sample t-test? [duplicate]

I have a two-sample t-test where the t-statistic is equal to the critical t-value (at three decimal points) at a p-value of 0.05. does this mean i reject the null hypothesis or the opposite? thank you ...
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1answer
73 views

Hypothesis testing on Poisson Binomial distribution

Imagine $N$ baskets each filled with a different number of products chosen from a set $P$. It is possible to have repeated products in the same basket. For instance: ...
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1answer
53 views

Interpretation of Maximum likelihood estimation

I have some problem to interpret the result of MLE estimation : Is it possible to get some advise about how to interpret it? the log likelihood function : $\sum^{n}_{i=1}\log\left( \phi\left( ...
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1answer
35 views

Testing equality of coefficients from two different regressions

This seems to be a basic issue, but I just realized that I actually don't know how to test equality of coefficients from two different regressions. Can anyone shed some light on this? More formally, ...
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1answer
62 views

Non parametric Wilcoxon Signed Rank test

I have the following data vector(in fact its 2392 data points long): ...
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1answer
158 views

Testing whether two regression coefficients are significantly different (in R ideally)

If this is a duplicate question, please point to the right way, but the similar questions I've found here haven't been sufficiently similar. Suppose I estimate the model $$Y=\alpha + \beta X + u$$ ...
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7 views

Fligner Wolfe test and 2-sample Wilcoxon test

What is the significant difference between the Fligner Wolfe test and 2-sample Wilcoxon test? How can I compare the treatment groups with the control groups of different studies after pooling?
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1answer
38 views

Determine if many coins are fair

Imagine I have many coins ($>100$), and for each coin I have the data: $(n_{\rm heads}, n_{\rm tails})$ where $\sum(n_{\rm heads}, n_{\rm tails})$ is decreasing for each next coin. Any one of the ...
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20 views

How to compare the results of two classifiers are statistically significant different?

I am applying kNN and SVM classifiers to my classification problem. Both of the classifiers get over 95% cross-validation accuracy (leave one out cross validation used). Not sure how to tell if the ...
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1answer
33 views

Multiple testing problem - can these test results be caused by chance?

I conduct 30 independent significance tests on $p<.05$. I observe that in $X=3$ cases the test is rejected. Can this event be caused by chance due to a multiple testing problem? I understand that ...
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10 views

sequential testing and hierarchical tesing

With respect to the hypothesis testing, I once heard sth such as sequential testing, hierarchical testing, and multi-level testing. But I could not find a good reference discussing these topics. Any ...
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3answers
71 views

Which test for this data set of chemical concentrations

I have a very simple data set: a parameter (concentration of a chemical) was measured at day 0, day 1 and day 2 in three subjects (there is a control group as well, but here all the values are always ...
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13 views

How I can use the Cramer-Von-Mises test to verify that a variable is distributed gamma? [closed]

An Insurance company wants to fit the distribution of a random variable T, T defined as the the time of life of a person in years. The company has a sample 67.55, 58.07, 59.58, 71.21, 70.97, 47.66, ...
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1answer
32 views

Wilcoxon rank sum test methodology

I'm comparing the performance of two algorihtms $A$ and $B$ based on a metric. For each algorithm, I have $31$ independent samples that represent its performance. This samples are grouped in two ...
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25 views

Regression - volatility vs return

I am attempting to estimate a linear model as: $$ y = a +bX +e $$ I have a series of annual returns and I would like to estimate the effect of volatility on losses. My Null hypothesis is that ...
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1answer
77 views

How to compare subjects with different weights?

I have a collection of products that could be rated as good or bad. Every product has a grade, that is the sum of "good" votes minus the sum of "bad" votes. These products are also split into two ...
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18 views

Significant box's test equality covariance matrices, How bad it is?

Having equal number of cases across two groups (60 total cases), if one wants to perform a split-plot Anova and finds out that the Box's Test of Equality of Covariance Metrices is less than 0.001 then ...
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1answer
19 views

Hypothesis testing with the geometric distribution for dummies

I'm a newbie at stats and I need some help. Can anybody tell me, in the most "stupid friendly" way, how to perform hyphotesis testing with a geometric distribution for 2 samples? please take into ...
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1answer
35 views

Is it reasonable to make inferences to the population from non-parametric tests?

I just had it put to me that one can not reasonably make inferences from non-parametric statistics. This strikes me as absurd as the logical rational supporting counter-factual resampling/rank order ...
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16 views

Hausman test VS Mundlak model; the choice between fixed and random effects

I am using panel data and I have to choose between fixed-effect and random-effect models. I run the Hausman test, the H0 (i.e., the difference in the coefficients from the two models is not ...
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13 views

SEM for Non-Normal Ordinal Data

In short, I conducted a satisfaction survey in which surveyees are required to answer on a satisfaction scale from 1 to 7: 285 observations, 37 satisfaction variables. Here is an example of what the ...
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29 views

Detecting time-shifted time series

Assume there are two time series of real values. How to test hypothesis, that these series are quite the same, but there is a time shift between them? Sorry, if the question is too basic. Thanks in ...
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1answer
73 views

How to get P-Value when t value is less than 1?

I am doing an assignment for class and I have hit a wall. I'm not sure what to do next. Using a sample with 12 discrete elements, I am trying to test a hypothesis that the population mean is 243 ...
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1answer
16 views

Test to compare an effect on a variable on a daily basis

I would like to know the effect of an external factor on the number of visits on a website during a period of 4 weeks (only search visits from Google). For this, I measured the number of visits every ...
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15 views

Q-Value Less than P-Value

I have a list of p-values from a series of regression equations. Many of these P-values are small. To compute false discovery rate I have been using the q-value package in R. I notice, based on this ...
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10 views

R: Shapiro-Wilk test with relation of W and P-Value? [duplicate]

I'm currently learning about the Shapiro-Wilk test for normality and using R for conducting simple experiments. One thing which is confusing me is that I found some results would produce a high W ...
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28 views

bootstrapping for a parameter estimation

At the moment I'm studying bootstrap and I want to do some examples to get a feeling for it. Suppose I generate the following data: ...
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15 views

Intuition For Overlapping Confidence Intervals and Statistical Significance [duplicate]

Two questions: I have a really hard time with the intuition for why the second part of this statement is true: If two statistics have non-overlapping confidence intervals, they are ...
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2answers
187 views

Can a narrow confidence interval around a non-significant effect provide evidence for the null?

It is obviously fallacious to assume that failure to reject the null implies that the null is true. But in a case where the null is not rejected and the corresponding confidence interval (CI) is ...
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2answers
155 views

What could be a statistical test for comparing funnel data before and after important changes?

I have some funnel data from a website I manage. After some time I did some improvement on a multi-step purchase process. I wonder if it's possible to formulate a test that with statistical ...
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10 views

NPS confidence intervals with bootstrap

I am looking for a method to find confidence intervals for NPS (net promoter score). One method was already suggested here. But I am thinking of using bootstrap. Do you think the following procedure ...
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43 views

One-Sample t Test and Likelihood Ratio Test

Concerning testing the hypotheses about the mean $\mu$ of a single population I know of things like the One-Sample $t$ test where there is a null hypothesis: $H_0: \mu = \mu_0$, and a test statistic ...
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16 views

the non-rejection region in level of significance approach eqaul to the area determined by upper and lower bounds in confidence interval approach

For $H_0: \hat \beta=\beta^*$ I want to prove that the non-rejection region in level of significance approach Will be eqaul to the area determined by upper and lower bounds in confidence interval ...
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46 views

Test for statistical difference between two curves on same plot?

I've got data plotted for A/Ci curves (plant physiology, A=photosynthesis rate, Ci=internal CO2 concentration--essentially it's a dose-response relationship). Generally, when this type of data is ...
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11 views

How would you test for high order autocorrolation

The question is the following; And I determine the intervals If I Will do breusch-godfred test, I guess accourding to these interval, I can find high order correlation. But I dont know how to ...
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1answer
29 views

Bootstrapping t-test for nonparametric data

I have a two heavily skewed distributions and am trying to use bootstrapping to compare their means via the t-test. I am concerned about the appropriateness of using the standard error of the ...
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What I have to undergo testing before proceeding to time series analysis? and after?

I have to conduct a time series regression analysis. Before proceeding I tested for stationarity and I verified that the variables are distributed according to the normal probability distribution. ...