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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Calculating the Net Promoter Score for poll data on a 1-5 scale

From Wikipedia The Net Promoter Score is obtained by asking customers a single question on a 0 to 10 rating scale, where 10 is "extremely likely" and 0 is "not at all likely": "How likely is ...
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Test data for regression modeling - Sales [on hold]

Currently I am working on my final project at my university on building a regression model for sales data. But unfortunately I am not able to get some realistic data where I can do my analysis. I ...
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18 views

how to compare groups and percentages within

I am new to statistics and would really appreciate help. The people within the groups are different - how do I compare the percentages to see if there is a statistical significance between the groups ...
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1answer
55 views

How to verify if values are from Gamma distribution?

I have a set of numbers generated from Gamma distribution. How can I verify that these values were all randomly generated from Gamma or satisfy Gamma distribution?
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43 views

Two sample $t$ test in R: where did it go wrong?

I am doing two sampled t test on two species of fish. t.test(fish1,fish2) It runs for a year so there are 365 values for each fish, i.e. $(1,0,1,0,0,2...)$ and ...
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1answer
143 views

What does “statistically insignificantly worse” mean?

I am reviewing a paper where I found this sentence repeatedly: A is statistically insignificantly worse than B I consider this to be confusing since, for me at least, it is not immediately clear ...
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1answer
42 views

True standard deviation (hypothesis testing)

I took two statistics classes at college and I remember "hypothesis testing" to be a very powerful tool if only I could apply it correctly. It seems that while I was in college solving problems, I was ...
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1answer
39 views

Random Effect Model

One factor random effect model: $$y_{ij}=\mu+\tau_{i}+\epsilon_{ij}\quad i=1,2,\ldots,a; j=1,2,\ldots,n$$ where, $y_{ij}$ is the $j$th observation of $i$th treatment effect $\mu$ is the overall ...
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1answer
34 views

How to test if some data points is drawn from a distribution with linear PDF?

I have some data in the range [0, 1], and from the histogram below, it seems that they might be drawn from a distribution with linear probability density function (what's the name of that kinds of ...
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1answer
17 views

How to compare ordering of two groups with widely different scales

I'm trying to compare if the order in col 1 is comparable to the order in col 2. The simplest thing I can do is just to compare both ranks using something like Friedman's test. However, Col1 and ...
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28 views

Computing the F-ratio under null hypothesis

Statistical model for a Completely Randomized Design: $$y_{ij}=\mu+\tau_{i}+\epsilon_{ij}\quad i=1,2,\ldots,a; j=1,2,\ldots,n$$ where, $y_{ij}$ is the $j$th observation of $i$th treatment effect ...
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2answers
52 views

Test identicality of discrete distribution

Is there a standard way to test whether two vectors were drawn with the same discrete distribution in R? Something like a Kolmogorov-Smirnov test, but for discrete distributions. I think two-sample ...
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1answer
13 views

Compare two measures with measurement uncertainty

I have to compare, choosing a significance level, two quantity normally distributed with respective measure uncertainty (quantified with error propagation law). How could I make the comparison between ...
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1answer
33 views

Probability of observing a false correlation and confidence limits

In oil and gas exploration/development it is common to use acustic impedance derived from reflection seismic surveys to predict the porosity measured in wells drilled in the reservoir. I often use ...
2
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1answer
98 views

Can we skip the lower order terms in interactions? [duplicate]

This question is about three-way interaction and the possibility of applying without second lower terms with keeping the main variables in the equation not like the other questions. In fact the other ...
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26 views

How to show whether the average coefficients of determination from one regression technique are better than another across many objects?

I have 50,000 objects on which I have performed two different types of regression. Using cross validation, I obtained the average $R^2$ score from each model on each of the objects. So now I have a ...
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27 views

How to test for a home bias in a data set?

I'm trying to think how I can test a data set I have, for transactions between buyers and sellers, for a home bias. My hypothesis is that buyers would rather buy from a merchant from their home ...
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1answer
26 views

Random variable variance

I have the model $y_i=\beta_1+\beta_2 X_i+ u_i$ where $u_i\sim\text{iid } N(0,\sigma^2)$. I estimate $\beta_1$ and $\beta_2$ by drawing a straight line between the first $(x_1,y_1)$ and last dot ...
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33 views

Is two years enough for panel data analysis?

I have around 800 companies for only two years period. However, around 200 of them have only one year observation. Is it still possible to conduct panel data analysis with such data Thank you
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Mann-Whitney U test [closed]

I am comparing 2 separate datasets with the Mann-Whitney U test. I am analyzing three separate parameters present in both datasets and want to know which parameter gives greatest separation between ...
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39 views

Cluster Matching/comparison

Description I have several datasets(from different subjects) with the same type of data. For each dataset I cluster the data using affinity propagation. Clustering is based on similarity distance ...
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46 views

A doubt on the definition of p-value

The p-value is the probability, under the assumption of the null hypothesis $H_0$, of obtaining a result equal to or more extreme than what was observed at given data. This means, if I were to ...
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1answer
34 views

How to interpret underrepresented low p-values in Multiple Testing?

This is, I hope, quite a simple question. Being new to the concepts and methods of Multiple Testing, I've been histogramming some of the p-values I've been computing in my genomics research. What I ...
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Is it correct to apply Friedman+Nemenyi tests to several runs at the same dataset?

We have 7 classification models generated from 30 subsets sampled from the same data-set (via cross-validation). We would like to know if there are significant differences among the accuracy of the 7 ...
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1answer
25 views

False alarm in Neyman-Pearson Test. A doubt in text?

Neyman-Pearson Lemma says that the most powerful test, $\phi(x)$, of size $\alpha$ (probability of false alarm), for testing $H_0:\theta=\theta_0$ versus $H_1:\theta=\theta_1$ is the likelihood ratio ...
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2answers
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Directional research hypotheses vs. directional hypothesis testing

When I took a methods course, I was told to avoid making a directional hypothesis. I understand the reason. Now however, I often see hypotheses like these: "We hypothesized that reaction time will ...
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69 views

In Bayesian hypothesis testing, do the prior model probabilities have to be equal?

The posterior odds is the product of the Bayes factor and prior odds: $\frac{p(M_1|data)}{p(M_2|data)}=\frac{p(data|M_1)}{p(data|M_2)}\times\frac{p(M_1)}{p(M_2)}$. I was under the impression that ...
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1answer
45 views

Relative increase between two pairs of samples

Consider the following samples from four distributions: $a = \{20, 2, 200\} \qquad\qquad c = \{1, 10, 100\}$ $b = \{22, 2.2, 220\} \qquad\quad\:\,d = \{1.2, 12, 120\}$ I would like to say that the ...
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37 views

Degrees of freedom of J-Test distribution

This book states, on page page 256 ( the GMM section) that the J-test(for over-identifying restrictions) is of the following form $G_n'J_n^{-1}G_n \approx \chi^2(m-p) $, where $G_n=G_n(\theta)=1/n ...
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1answer
73 views

How to statistically compare groups for multiple density plots?

Is there a statistical method to compare these density plots other than ANOVA (MANOVA)? I would like to compare the densities among year within each plot and report which of those distributions are ...
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21 views

Is there a test for comparing principal components decompositions between samples?

Is there any test for comparing the directions, magnitudes, etc of PCA results for different samples? I'm leaving the nature of the test deliberately vague because I'd like to hear all the various ...
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55 views

Surprisingly similar hypothesis tests

I would like to ask you for pairs or even triples of statistical tests which are, surprisingly, similar. By similar I mean they test essentially the same hypotheses and lead to approximately the ...
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15 views

Factorial design for interactions with ordinal DV

I want to make a 4 question, multiple choice survey in which each question asks about an analogous range of actions for slightly different scenarios. Each participant would only be administered the ...
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1answer
43 views

If my normality test is non-significant, am I safe to use the t-test?

I took a 30 unit sample from a population. The sample distribution resulted to be normal. Can I state that the population distribution is normal too? If so, with what level of confidence?
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Comparing the distribution (or properties of distributions) of large datasets for practically significant differences

I have several populations with a large n (100,000 - 1M+ samples), which i wish to compare. I know that virtually any statistical test i apply will reject the null hypothesis due to the extreme power ...
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1answer
37 views

What is the intuition for dependence assumption in Benjamini and Hochberg (1995)?

For dealing with multiple testing, Benjamini and Hochberg (1995) assume that the tests are independent. Benjamini and Yekutieli (2001) show that (1) the 1995 result also holds under (I think) weaker ...
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Multiple comparisons on nested subsets of data for a non-parametric test

My problem: I'm using data sets where some are nested in a non-parametric test that expects independent data sets. How can I correct for that in a way that is reasonable? Or even better: What would ...
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Testing if points on a line are over/under dispersed

I have a series of about 1000 points on a chromosome and I want to know if they are clumped, over-dispersed, or neither. The chromosome can be viewed as a 1-dimensional. I've looked over some ...
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1answer
61 views

Point hypothesis and equivalence hypothesis at once

Sometimes researchers (especially in collaborations) have two opposite but sound theories: There is a difference between two groups or there is only negligible difference. Now they ask their ...
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1answer
17 views

What can I do to if I have a nominal dependent variable and scale independent variables?

Our dependent variable is a nominal variable that asks respondents "would you share this video?" with the responses being either yes or no. The hypotheses we are testing are all relational directional ...
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How To Determine Association Plot in R and p-value

I have created a contingency table and an association plot in R and I am not quite sure how to interpret it. Here is my contingency table: ...
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14 views

Statistical test Comparison of

I have some ordinal data (no. of exits from opiate treatment, by type (planned unplanned exits etc.). I want to know if last years figures have a statistical probability of being different from ...
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1answer
29 views

Compare two small groups (population vs sample) over time

I am studying banks behaviour according to 6 financial rations throughout a 3-years period. I have 32 observations separated into two groups: large (6) and medium-sized banks (26). However, since in ...
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2answers
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How to compare 4 independent means when there is no dependent variable?

There is one other question similar to mine (Compare independent numeric vectors (means) in R), but has not been answered (1 year has passed), so I'm repeating the question here. I have obtained exam ...
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1answer
34 views

AB testing vs testing the null hypothesis

I'm trying to understand the difference between testing the null hypothesis (i.e. testing that the probability of a "goal" is the same across 2 different populations, similar to prop.test in R) an ...
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2answers
123 views

Why am I getting inconsistent results from Wilcoxon signed rank test and Kruskal-Wallis test?

I am doing a study on 3 drugs, comparing response pre-post treatment. My objective is to know if these drugs are effective and which one is better. I used non parametric tests since the results ...
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2answers
89 views

Can Mann-Whitney test be used for post-hoc comparisons after Kruskal-Wallis?

I have a simulation where an animal is placed in a hostile environment and timed to see how long it can survive using some approach to survival. There are three approaches it can use to survive. I ran ...
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0answers
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Difference test for beta–binomial variables

Let $X \sim \textrm{Beta–Binomial}(\alpha_1, \beta_1, n)$ and $Y \sim \textrm{Beta–Binomial}(\alpha_2, \beta_2, n)$ and write $\mu_1 = \frac{\alpha_1}{\alpha_1 + \beta_1}$, $\phi_1 = \alpha_1 ...
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32 views

How to Test if the Difference between Two Means from Different Samples are Significant?

here are distributions of four samples: and the following is the table of data: I would like to test: (1) if the difference between means of "Give" and "Work-Give" samples is significant; and (2) ...
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1answer
49 views

Hypothesis Testing using dichotomous and 7-point Likert scale

I am working on testing the following hypothesis: H1: People who are worried about their health will consume yogurt H0: People who are worried about their health will not consume yogurt I have ...