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Questions tagged [hypothesis-testing]

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

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1answer
23 views

Analysis of pre and post treatment

I have the following data: A random group of patients with a certain disease who receive a drug at a certain time. Dose of the drug given to the patient. This drug has an affect to the heart which ...
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4answers
235 views

Difference/relationship between power and significance

What is the conceptual difference between statistical power and statistical significance? Are they the same? Is one used for the other?
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9 views

Random Coefficient Model [on hold]

Recently I am learning the random coefficient model or random slope model. Have got the rough idea of the model, it will produce the overall estimation and variance for the random variable. However, I ...
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1answer
39 views

Why did they halve their $\chi^2$ statistics in this article?

I was reading this article and tried to find their results regarding the $\chi^2$ tests displayed in table 2 on page 4. These are $\chi^2$ tests of data from the table 1 on page 3. However I did not ...
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0answers
24 views

which is the statistical test to use between metric groups?

I'm quite new to Statistics, so I have to write my bachelor thesis till December and my tests were all wrong, so I'd be happy if you could help me. I want to analyse if there's a connection between ...
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0answers
29 views

Question on this study design

If I'm looking to run a randomized controlled experiment comparing: Group A) control Group B) treatment 1 Group C) treatment 2 Group D) a combination of treatments 1 and 2 1) Can I reduce ...
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0answers
8 views

How to determine if null hypothesis is rejected [on hold]

I am conducting an experiment for school in which I am measuring people's heart rates as music plays at different tempos(60, 90, 120, and 150 bpm). The null hypothesis is that the tempo of music has ...
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0answers
15 views

Statistical approach to differences in proportions between groups

I have performed an eye-tracking experiment where two groups of subjects looked at three pictures. Then I calculated how much of the time each subject spent looking on each picture (in %), giving me ...
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1answer
17 views

Sphericity fort t-test

In my statisticus course I can remember that an ANOVA requires normality AND sphericity (homogenous variance). Violation of the latter can be compensated for with a Greenhouse-Geiser correction. A ...
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0answers
17 views

Test if a sample sequence is asymptotically linear

Suppose I have a sequence of points $(x_n,y_n)$ for $n\geq 1$ and I hypothesize that the sequence is asymptotically linear, in the sense that there is a unique linear function $L$ such that for any $\...
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1answer
33 views

Finding the NP test

I am really interested on solving the following problem I found in the Casella and Berger. Suppose we have the following pdf: 2$\theta x + 2(1-\theta)(1-x)$ where $ 0<x<1$ and $0<\theta<...
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1answer
24 views

Do I assume Equality of variances for a paired t test

I’m doing a paired t test and was just wondering if I assume equality of the variance and why I would or wouldn’t
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1answer
50 views

Question about simple inference on Bernoulli trials

Suppose we have these two sequences of 10 independent coin flips: HTTHHTTHHT HHHHHHHHHH And suppose we want to test wether the coin is balanced or not (let $p=P(H)$). Under $p=\frac{1}{2}$ both ...
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0answers
31 views

Use of the Wilcoxon rank-sum test on two samples where the elements of one sample make up some of the elements of the other? [closed]

I have two samples to compare and I want to determine if they are statistically similar or different. Both are measurements of the same property on the same material. Lets say X contains 25 elements ...
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1answer
22 views

independent t-test alternatives for unequal sample size

I tried implementing an independent t-test (alpha = 0.05) using excel for male(n=20) and female(n=25) scores. However, excel doesn't allow it. Are there alternative tests for comparing the two samples?...
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0answers
12 views

Performing a hypothesis test on data that is not exact

So I am trying to perform a hypothesis test to see if there is a linear relationship between two variables in specific gpa and attendace. Unfortunately our results are not exact, i.e they consist of a ...
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0answers
31 views

Portmanteau Test for VAR

I am new into working with VAR models and have a fundamental question regarding model diagnostics. As suggested in Kilian and Lütkepohl (2017, pp. 52-53), I would like to run a Portmanteau test for ...
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0answers
17 views

The McNemar exact conditional test: should the p-values be uniform under the null?

I have two classification models, $C_1$ and $C_2$, and I want to do a hypothesis test to see if $C_1$ is significantly better than $C_2$. I am interested in a one-sided hypothesis test. Thus I have ...
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0answers
34 views

What statistical test to use when X & Y are different sizes and Y contains all of the observations from X, plus some extra ones? [closed]

I want to determine whether two groups of observations are statistically significantly different (or similar). However, the number of observations in both groups is different. For example, X has N=25 ...
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3answers
41 views

Statistical Test with one Control Group and Two Test Groups

I have the following data: What can I do to check if there is a significant increase of the ratio of people paying for the product over the total visitings of the website? I thought of a Chi-...
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0answers
26 views

Non parametric Hypothesis test

Suppose that I want to implement a non parametric hypothesis for a skewness estimator and check if it is equal to 0. Is my following thought correct ?? Suppose that we somehow estimate the skewness $...
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1answer
19 views

How to deal with non-normal data? Tests

I have a database of a breaking news (tweets, timed events) and i need to find if there are significant differences in the coverage of the events by different media outlets (MOs) with different ...
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0answers
6 views

How does negative correlation affect family-wise error rate (FWER)

I can find a lot of information about how positively correlated hypothesis tests affect family-wise error rate. I cannot find any information about how negatively correlated hypothesis tests affect ...
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1answer
38 views

Testing differences in variance between groups

I have a hypothesis that a particular intervention/treatment will cause more variation in participant responses to a particular question. The intervention variable is categorical, with five different ...
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1answer
54 views

Do P values really matter for Regression in Machine Learning?

When doing statistics with linear regression, p-values and statistical significance are fundamental aspects for building a linear regression model. But unlike in statistics, machine learning is all ...
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0answers
12 views

Characterizing the type input for which a given method gives the best results

I have $m$ input examples each described by a set of numerical features. To each example I apply $k$ methods and pick the best one according to a certain performance measure. Thus my data looks as ...
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0answers
38 views

Hypothesis testing for rainfall

I would like to form a suitable hypothesis test with 95% confidence interval to determine which of the months that fall into the Inter-monsoon/monsoon period using the data that I've collected below: ...
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1answer
25 views

How do I test whether an intervention is significant when I don't have the counterfactual sample size?

Let's say I want to figure out whether a specific Public Service Announcement (PSA; you can think of it as an advertisement) to ask people to do an action is effective. That is, the independent ...
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1answer
49 views

Power of uniformly most powerful test

Let $X_{1}, \dots, X_{n}$ be independent random sample with cumulative distribution function $F_{\theta}(x) = 1 - 2^{-(x-\theta)}$ for $x > \theta$ and $0$ elsewhere, where $\theta$ is unknown ...
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1answer
64 views

What $A$ would allow $\beta_1=0,\beta_2 = 2$ to be written in the form $A\beta = 0$?

I got this question earlier for a review, but am struggling to find the answer in any texts: Suppose that you have to fit the model $$y=\beta_0+\beta_1x_{i1}+\beta_2x_{i2}+\beta_3x_{i3}+\...
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1answer
19 views

Understanding statistical test to use: T-Test vs. Wilcoxon Signed Rank vs. Wilcoxon Ranked Sum — for Visual Analog Scales in paired sample

If I were to give out a survey with questions based on a visual-analog scale, and I want to compare the results for each of these, which statistical test is generally the most appropriate? If for ...
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0answers
14 views

Size$\alpha$ test when likelihood is constant

I have to find the uniformly most powerful size $\alpha$ test for the following pdf- $$f(x|\theta) = exp\{-(x-\theta)\}$$ $x>\theta$ The pdf is 0 for $x\leq\theta$ , Null hypothesis is $\theta = \...
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26 views

Steps of panel data analyzing

I have a data set from almost 20000 companies, from 8 years. and it is an unbalanced data set. I searched for a flowchart about all steps I have to do to analyze a panel like this.but, unfortunately, ...
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21 views

How to model change of a dependent variable over time in a mixed model

It's a between-subject repeated measures model. My hypothesis is that in both control & Treatment the dependent variable decreases over time. How to model change of a dependent variable over time ...
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0answers
15 views

Can Bayesian methods be used for fixed horizon hypothesis testing?

I wonder if it is possible to use Bayesian methods to do fixed horizon hypothesis testing. If it is possible, what test statistics should I use? What formula should I use to calculate sample sizes? I ...
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0answers
27 views

Does “Fail to reject” in MANOVA imply “fail to reject” in every individual ANOVA? [duplicate]

Suppose I performed MANOVA and failed to reject the null, e.g. $H_0: \bf{u_1} = \bf{u_2} = \bf{u_3}$. If I perform ANOVA on $H_0:u_{11}=u_{21}=u_{31}$, is it possible that I can reject the (new) null?...
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1answer
28 views

Statistical test for comparing means of two AR(1) time series

Say I have two time series which each follow the AR(1) model: $$ X_{t+1} = X_t + (1 - \theta_X) (\mu_X - X_t) + \epsilon_X(t) $$ $$ Y_{t+1} = Y_t + (1 - \theta_Y) (\mu_Y - Y_t) + \epsilon_Y(t) $$ ...
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0answers
6 views

Research participants maknig simultaneous choice: is it between or within subject design?

This question is about terminology. Assume the following scenario. A research participant is asked to choose one out of four options: products A and B in packagings X and Y. That is, the choice (...
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1answer
29 views

Sampling from the null distribution for a t-test

I am trying to apply the Dietterich 5x2 cv t-test to test whether one statistical model is better than another on a particular data set. In order to apply this test, one must assume that under the ...
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1answer
28 views

Finding the likelihood ratio test from a binomial distribution

I'm having a bit of troubles getting a working rejection region out of this problem: Let $X_{1},....X_{n}$ be a random sample from $Binomial$($1,p$) distribution. Assume that $n=5$. We test $H_{0} : ...
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2answers
63 views

Does p value depend on distribution of null hypothesis?

Based on the same random sample and same test statistic, will the p value remain the same even when the distribution of test statistic under null hypothesis is changed. Or is this scenario true only ...
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0answers
8 views

Testing for equality in single-response-category proportions in a multinomial sample

Problem: I have a multinomial variable with three response categories. I am asked to test the effect of certain categorical predictors on the proportion of each category. To my understanding, this ...
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1answer
24 views

How to correctly interpret Schoenfeld Residuals P-Value

I have been reading various responses on this topic but I do not yet understand how the p-value is interpreted to determine if the proportional hazards assumption holds or not. I have a global p-...
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0answers
31 views

Which statistical test to use for one continuous dependent variable and 2+ continuous independent variables?

I am exploring the relationship between unemployment (using unemployment rate, continuous dependent variable) and migration flows (continuous independent variable) over time. I have done a series of ...
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1answer
15 views

Is there a test for same distribution for subpopulations?

Common tests include tests for same location and same dispersion. However, one can select two different distributions that, for example, have the same mean and variance and yet be distinct, like a ...
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1answer
17 views

Using T -test results to find probability of an event occurring

Given two samples, one consisting of a different number of times someone made sales calls to different potential clients who ended up buying the product. the other one consists of a different number ...
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0answers
9 views

Multi target synthetic data generator

I need to create multi-objective synthetic dataset to test optimization models Ideal would be: 100 features that are correlated with 10 targets, and the goal of the model is to predict the targets ...
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0answers
11 views

T test check requirements p-p plot [duplicate]

I am trying to perform a t-test on two independent groups and before doing that, I'm checking if the data meets the t-test requirements. One of the conditions is to test the assumption of normality. ...
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0answers
41 views

Comparing hypotheses that depend on a different number of parameters

Let us consider the following problem. You want to establish whether (1) the outcome of the tossing of a coin is independent from previous tossings AND the probability of getting Heads is $p$; or ...
3
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1answer
27 views

Proof that Sargan test statistic is distributed $\chi^2$

Assume that $$\textbf{y} = X\boldsymbol\beta + \boldsymbol\varepsilon $$ , where $\boldsymbol\varepsilon$ is an $n \times 1$ random vector and that X is an $n \times k$ matrix of regressors; $m$ of ...