# Questions tagged [hypothesis-testing]

Hypothesis testing assesses whether data are inconsistent with a given hypothesis rather than being an effect of random fluctuations.

6,351 questions
17 views

### Correct approach to define a null distribution by resampling?

I am trying to devise a test for significance by resampling from my data. The data consists of 60 individuals, grouped in 6 populations (10 per population). There are about 9,000 genes as ...
58 views

### “A property holds if it cannot be rejected”

Most examples in my Time Series Analysis slides and Multivariate Analysis textbook (Applied Multivariate Statistical Analysis, 6th Edition) conduct a hypothesis testing on data's normality, or zero ...
20 views

### Determining suitable seed number in R to randomly split data into training and test sets

Good day. I have sample size of 160 and I am randomly splitting them into 70% train and 30% test data sets. My question is about the set.seed() value which returns different random samples in each ...
15 views

### Statistical significance of co-efficient derived through several regressions for panel data

For the panel data that I have, I'm trying to run multiple one-variable regressions (y=ax+e) across time periods - i.e. one for each time period. Naturally, the a's that I find from each regression ...
52 views

### Statistical test for dependent data- comparing groups of pairs

I have a question about statistical tests for dependent data. This will sound a bit strange/extremely naive but pls bear with me- here is my problem formulation: I have 500 individuals, and I'm ...
17 views

### What is the difference between “paired” and “unpaired” versions in Wilcoxon's test?

Statistical tests can e.g. be used to decide whether to accept, reject or fail to reject the null hypothesis (the status quo). There are (apparently) two variants of this Wilcoxon's test: paired and ...
9 views

### conditional trees unexpected grouping — differences with chi squared test

I grouped some data with ctree (party package, conditional trees) (binary target) and the result is: ...
23 views

### Problems transforming from geometric distribution to normal distribution

I have this distribution that resembles a geometric distribution. I want to convert to a normal distribution so I can do some hypothesis testing using the properties of a normal distribution. I've ...
93 views

### Neyman-Pearson hypothesis testing with uniform random variables

This question is quite simple. We have a random sample $X_1, X_2, ..., X_n$ from $U(\theta, \theta + 1)$ and we want to test $H_0: \theta=0$ vs $H_0: \theta=\theta_1$ for some $0 < \theta_1 < 1$....
19 views

### P value of an empirical distribution from 500 Bootstraps

I have a time series, on which I calculated the outperformance of a trading system over the market, in order to get the mean hourly excess return of this strategy (the returns of the active strategy - ...
12 views

### Single summary statistic and p-value for a large number of correlated tests

I have several thousand measurements from an experiment, $\rho_i$, which are correlated. I can compute p-values $\Pr(\rho{>}\rho_i | \mathbf {H_0}_i)$ for each measurement by monte-carlo sampling ...
40 views

### Hypothesis testing - Which stat test to use with multiple choices (with both single and multiple responses)

I'm writing my master thesis but I have some problems with the analysis of the data collected using an online survey. The aim of the research is to assess if there are differences between two groups ...
38 views

### Which formula for t-test is correct?

When Population variance is unknown and n<30 we use t-test. x=sample mean, u=population mean, s=sample standard deviation, In my book and on many online websites i found t-test formula to be t=(...
135 views

### Paired or unpaired t-test and Wilcoxon signed rank test?

I am having a conceptual problem, of not being able to grasp whether my data is paired or unpaired. I have to test for the mean and median differences between two sets of data: SBP and GICS (see ...
344 views

### Which model for my data?

I have this data: ...
12 views

### Comparing distribution of two dependant binary variables different sample size

I have been searching for solution for my problem but keeps running into more questions so decided to finally ask for a bit of help. I am working with a dataset in which I want to compare efficiency ...
41 views

### Interpretation of the region of rejection in hypothesis testing in binomial distribution

The pharmacy company Life Co. has developed a new drug against insomnia. To check the effectiveness, this drug was tested with n = 10 patients. At present, the standard medication can cure 30% of the ...
9 views

### Quick test for significant difference in portions (and mean/average) between several group and likelihood?

I have a number of demographic and economic variables – both categorical and continuous – for a few different groups, one is a subset of the other. Estimates derive from IPUMS microdata from which I ...
26 views

### Plot power of a hypothesis test with $\alpha$

Let's take a simple one-sided hypothesis test (say the two sample t-test). The confidence level we want (probability of rejecting the null when it is true) is defined as $\alpha$ - usually set to 5%. ...
36 views

### Mann-Whitney-U for exponential distributions?

I have two distributions, that look like the following: They appear to be exponential and have different sample sizes (369 vs 60). I would like to do some hypothesis testing. I know that I can use ...
34 views

### How to find if people's preference is significant

I am trying to find out the wheither people prefer ads on Instagram or Facebook. As in are they more likely to choose x or y? Each person is given if you had to choose from and they pick x or y. ...
32 views

### Doing bootstrapping to test the distribution means

Whenever I have two samples (A and B), I've been doing conventional t-test to compare the significant difference in means if I find that these two sample come from normal population (using normality ...
34 views

### Hypothesis testing on a Bernouilli variable

I have a Bernouilli variable which is $1$ with probability $p$. I need to test the hypothesis $H_0:p<\theta$ vs. $H_1:p>\theta$, where $\theta$ is a given constant. The question is to find $n$ ...
48 views

13 views

### What statistics should be used in this scenario? mixed-model ANOVA?

For my research I am comparing the target strength (acoustic reflectance) of three different wing locations of a moth. Measures of target strength are taken across a range of frequencies between 20-...
960 views

### Why are the cut-offs used for Bayes factors and p-values so different?

I am trying to understand Bayes Factor (BF). I believe they are like likelihood ratio of 2 hypotheses. So if BF is 5, it means H1 is 5 times more likely than H0. And value of 3-10 indicates moderate ...