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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Comparison of distribution of two datasets

How do I compare distributions of two datasets with discrete distribution? Two-sample KS test only works for continuous (I was able to find implementation of one-sample KS test that works for discrete ...
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0answers
9 views

Forcing multcomp:glht() to calculate as many meaningful pairwise factor combination as possible

I have a very imbalanced dataset consisting of several habitats (i.e. "woodland", "grassland", "swamp", and so on) with different sample sizes (10 - 40) and species counts as outcome. Species counts ...
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18 views

How to numerically compute Likelihood Ratio Test for a Logistic Regression?

Suppose I am simulating a data set from a binary logistic regression with $k=5$ predictors out of which $k_2=3$ are inactive i.e., $\beta_3=\beta_4=\beta_5=0,$ and remaining $k_1=2$ are active having ...
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0answers
16 views

Analyzing Y using multiple X values from same column?

I have a question regarding the validity of the approach I am considering to look for relationships in the data I am interesting in collecting. The goal of the analysis is to see if the Y variable (a ...
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0answers
48 views

Testing for cluster structure in one dimension

I have a set of points along an interval. What is the best significance test to measure clustering of the points in the interval (deviation from a uniform distribution)? I've added two examples below ...
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1answer
34 views

KS test for Uniformity

I am attempting to use the KS-test to test whether a set of points is uniformly distributed over an interval, and I had a question about whether there may be a more optimal test for what I'm trying to ...
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0answers
33 views

How to test if test value belongs to the 'population'

I believe that it's a very basic question, but I have almost no knowledge in statistics... I have a single calculated value. Let's say it's the fraction of red nodes in the graph. I wish to know if ...
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0answers
9 views

Comparing pharmaceutical formulations drug release kinetics

in the framework of my graduation thesis I have to compare statistically the rates (which might be constant, or not) at which drug molecules are release from a pharmaceutical formulation. This would ...
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1answer
124 views

Fisher's tea tasting, binomial exact test

Please see the famous Fisher's experiment on biologist B. Muriel Bristol-Roach's ability to discern taste in red tea here (see Lady Tasting Tea). In this experiment Fisher gave Bristol-Roach 8 cups ...
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1answer
29 views

Testing for unit roots

I am an absolute beginner and I need help on testing for unit-roots in Stata. As the data is unbalanced (no missing values, but some time series begin later than others) it seems to me that I could ...
-1
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0answers
30 views

hard statistics question [on hold]

A sample of size n=19 is selected from a population with mean 50. After a treatment is administered to the individuals in the sample, the mean is found to be M = 55 and the variance 64. Are the data ...
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0answers
28 views

Complement of statistical significance test

I am applying statistical significance tests like the Kruskal-Wallis, Wilcoxon and ...
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1answer
31 views

What is similarities and difference between statistical inference and hypothesis testing?

What is similarities and difference between statistical inference and hypothesis testing? I am confused between those
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3answers
45 views

Recommendation list of books for hypothesis testing?

Recommendation list of books for hypothesis testing? More precisely, i need list of standard theoretical textbooks that focus on hypothesis testing used in US graduate schools and these books are ...
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4answers
65 views

$\chi^2$ tabulated value

I noticed that the critical $\chi^2$ value increases as the degrees of freedom increase in a $\chi^2$ table. Why is that?
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0answers
9 views

ANOVA test mean against predefined constant

How can I calculate the p-value (statistical significance) if my hypothesis asks for specific mean values? I suppose this can be somehow calculated using ANOVA, but I could only find examples where ...
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1answer
35 views

Statistical Significance

Our teacher told us If a test is rejected at 1% level of significance , then it will be rejected at 5% , 10% level of significance . I don't understand how does the rejection at 1% level of ...
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0answers
13 views

order statistics and hypothesis testing [on hold]

Let Ui; i = 1:n be iid Uniform(0; 1) random variables and suppose that U(1) < U(2) <... < U(n) are the corresponding order statistics. (a) Prove that the conditional joint distribution of ...
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1answer
59 views
+50

Statistical comparison between binomial distributions, two groups and many trials

I have a data set with two groups. I have multiple trials with different Ns in each trial, and different numbers of trials for each group. In each trial, for each ...
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0answers
11 views

Is data poisson distributed when comparing mean sample occurrences per area?

A question similar to this came up in a colleague's analysis and I cannot seem to decide the right way to think about this. The question is a moot point for her work, but I'm interested in the ...
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3answers
152 views

Statistical test for increasing incidence of a rare event

I have following simulated data of 2500 persons regarding the incidence of a rare disease over 20 years ...
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0answers
51 views

What statistical test should I use for variable which has all values identical and zero?

I'm a neuroscientist and I count protein aggregates in the brain. I use tissue from MND patients with and without a certain mutation, and from healthy controls (3 groups in total). When I use healthy ...
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1answer
19 views

Correlation or dependence between NDVI and pollution data sets

Is there any statistical test or measure to evaluation the degree of correlation or dependence between two sets of data-points ? First set is represented by NDVI values in each pixel and second set is ...
1
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1answer
21 views

How to check if the correlation between two continous variables is influenced by a categorical factor?

I have a data frame (df) where I see correlation between two continuous variables (c1 and c2). I need to know whether the observed correlation between the two variables differs between groups, which ...
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0answers
23 views

Post-hoc analyses with a synthetic control?

When running a traditional hypothesis test, it's common to "break out" the result by sub-groups using various post-hoc methods that control for multiple comparisons, such as the False Discovery Rate. ...
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16 views

Cutoff point detection question

Suppose I have two methods $A$ and $B$ that can be used to measure the value $y$ for an outcome variable given the value of an explanatory value $x$. The following figure shows the scatter-plot of ...
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1answer
33 views

Testing for differences between populations of individuals with binomial data

So I am trying to compare between populuations and determine whether there is a difference in count based data. My data look like this: ...
6
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1answer
79 views

Significance of regression coefficients and their equality

Suppose, we want to regress $y$ on $x_1$ and $x_2$, i.e. $$ y = \alpha + \beta_1 x_1 + \beta_2 x_2 + \varepsilon \hspace{1cm} (1)$$ Is it, in principle, possible that simultaneously: $\beta_1$ is ...
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0answers
16 views

Maximum lag selection for panel unit root tests

I am interested in conducting panel unit root tests on a panel of subregional annual data where N>100 and T<10 (more specifically, depending on the independent variables included in each ...
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2answers
23 views

Test Control. A longitudinal study

I have two samples of the same size, one being the 'treated' group, and the other used as a 'control' group. Each group have a different univariate variable (stress level), repeatedly observed over ...
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0answers
13 views

Regarding Bootstrap Hypothesis Test for difference of means, why not absolute differences?

Looking at the Algorithm 16.2 from "Introduction to the Bootstrap, Efron and Tibshirani" I was wondering why isn't the t(.) being tested the absolute difference of the means, instead of the ...
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25 views

Figuring out which test to use

It's been a while since I've taken a stat's class and I came across a problem I need to solve. I was hoping someone could point me in the right direction. I know a question similar to this has ...
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1answer
36 views

What is a good test for comparing frequency counts between two groups?

I am looking for statistical methods used to compare frequency of observations between two groups. I have two geographical locations with data on different soil types present. for example, my data ...
2
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2answers
96 views

Why reject, not accept $H_0$ when $p$ value less than $\alpha$? [duplicate]

Let's say ABC drug company claims their medicine cures 90% of patients. Now a doctor conducts a trial by taking a random sample of 15 patients. Result shows 11 of them are cured but 4 are not. In ...
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0answers
25 views

Sampling Distribution of Sample Correlation Coefficient

For a linear process $X_t=\mu+\sum_j\varphi_jW_{t-j}$ where $W_t$ is white noise and $\mathbb E(W_t^4)<\infty$ , $$ \begin{pmatrix} \hat\rho(1) \\ \hat\rho(2) \\ \vdots \\ ...
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786 views

If all 1000 test patients are not cured by the drug, can't we say that we accept the null hypothesis?

In many places I have read that we can never say that we "accept" the null hypothesis. Instead we must say that we "fail to reject" the null hypothesis. But I don't see how that squares with this ...
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0answers
73 views

Karlin-Rubin theorem and exponential family

Let $X_1,...X_n$ a random sample of $X$ with density $$f(x;\alpha,\beta)=\frac{\alpha}{x^{\alpha+1}}\beta^\alpha I_{[\beta,\infty]}(x)\space\alpha>0,\beta>0$$ with $\beta$ known. Find ...
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1answer
26 views

Joint inclusion probability for Horvitz–Thompson estimator

There is a Wikipedia page for the Horvitz–Thompson estimator. It is an estimator for the population total. Unfortunately the page has failed to state the standard error. From here, the standard ...
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1answer
24 views

Which is the best way to check (with some certainty) if the mean of a time series is a constant?

I am testing the time series output by a light sensor, and trying to know when dawn and dusk end. I used a cusum test to check when light level starts changing, and now I need to know when it ...
0
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1answer
21 views

How to quantify whether the difference between two groups is relevant?

I'm sorry that I am not at all an expert in statistics, so my question may sound vague, or very easy. I have a group of people that I divide into two categories, $A$ and $B$, depending on some ...
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1answer
14 views

Comparison of time series models

I'm trying to create a model for a series $X = \{X_1, X_2, ...\}$. I don't assume that the $X_i$ are identical distributed nor that they are independent but at least that they have something in common ...
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1answer
21 views

Joint Hypothesis Testing in Multivariate Regression

I am fitting the following model to my data $y = \beta_0 + \beta_1 x_1 + \beta_2 x_2$ and the claim I want to be able to make is that $\beta_1 = 0$ and $\beta_2 \neq 0$. I am going to use ...
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2answers
30 views

Test for statistical significance in performance variability

I'm analysing data collected from a call centre activity in which agents are calling prospective leads. For each call made, if the lead coverts the call is a success and if the lead does not convert ...
3
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1answer
73 views

Ways to find a UMP test

I'm studying for my final exams and the subject of proof will basically test hypotheses, I will try to summarize here my doubts. For found the UMP test the ways are 1) Use Neyman–Pearson lemma ...
3
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1answer
31 views

Possibility to run multiple chi-square tests on 2x5 table

I'm analyzing data in which I have a dependent variable with two possible outcomes (yes or no) and an independent variable with five emotion conditions, neutral, angry, sad, ashamed, and afraid. The ...
3
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1answer
87 views

What tool should I use to find improper relationship between doctor and patient?

I have a data table in R where I summarized the dollar value of prescribed medicines for each doctor-patient combination. In all, I have about half a million observations, with about 3000 doctors and ...
2
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1answer
25 views

Test of proportions or chi-squared? [duplicate]

These data are from an A/B test of free trials to conversion. Someone can sign up for a 30 day free trial of the product. If they like it they stay on and become paying customers. By default (A), ...
0
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1answer
42 views

Easy Stats analysis?

Would be grateful if anyone can help. I have answers to a questionnaire and I want to compare between group A and B, possible say there is no difference in their response between these two groups. ...
2
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0answers
47 views

Embarrassingly easy stats question

I have a large set of values (1000) that are each a measure of accuracy for a large set of corresponding models that were generated using random data. I want to compare a single measure of accuracy, ...
2
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1answer
47 views

How to handle multiple measurements per participant, with categorical data?

I've done an experiment where I've collected measurements from a number of participants. Each relevant data point has two variables, both categorical: in fact, each variable has two possible values ...