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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Modified $t$ statistic and $\nu$ for Tukey-Kramer test

What is the expression for the modified $t$ statistic for Tukey-Kramer test in terms of sample means $X_i$ and $X_j$ having $n_i$ and $n_j$ number of samples? Is this correct: $t = ...
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Testing if the mean of one data set is bigger than the mean of the other data set [duplicate]

I have two data sets, i.e., the number of flowers measured in field A and in field B. Each data set has about 40 samples. I want to do a test to check the hypothesis that field A has more flowers than ...
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1answer
47 views

LR test on marginal effect

Say I have the following regression model: $$\text{Wage}_i = constant + α·\text{YearsOfEduc}_i + β·\text{Age}_i + γ·\text{CompletedHighSchool}_i + \mbox{δ·$\text{NumOfSiblings}_i$} + ...
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7 views

Selecting optimal model when only smoothed data available?

I have a graph of some (highly nonlinear) experimental spectrum which is obtained by smoothing results of several repeated measurements obtained by different experimental methods. The graph also ...
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1answer
18 views

Is there any good reference which statistical test should be used given study design?

I am looking for a source (infographics, picture, graph, list, book, algorithm or whatever) that clarifies which statistical test should be used when. I mean what do I use when I have two unpaired ...
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1answer
11 views

Null hypothesis of probit model Wald test

Say I estimate the following probit model: $$ins = \Phi(\alpha + \beta_1 age + \beta_2 educ + \beta_3 hg + \beta_4chronic + \beta_5 hisp + \beta_6 lin) + u$$ where: $ins = 1$ for any individual who ...
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1answer
24 views

MCMC-Draws from different MCMC- chains

I have questions about the usage of draws from a MCMC. I estimate a hierarchical bayesian Multinomial Logit model (using bayesm in R). I am interested in the ratio of two coefficients 1 and 2, say ...
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1answer
27 views

Wald test on marginal effect

Say I have the following regression equation: $$Wage_i = YearsOfEduc_i + Age_i + NumOfSiblings_i + u_i$$ How would I go about peforming a wald test of the hypothesis that for an individual with ...
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About Hypothesis Test In Spatial Regression

I'm doing estimation of spatial lag/error model using R package "spreg"/"spdep". But I can't find any method to do hypothesis test after regression. For example, I want to test whether two ...
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1answer
83 views

null hypothesis change

I've done loads of hypothesis tests for the mean (normal distribution) where the null hypothesis is of the form $H_{0}=a$. Now I've come across one where the hypotheses are like $H_{0}{\leq}a$ and ...
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Wilcoxon rank-sum test for multivariate case when pdf is known

I have sample of around 100 of observations. Each of them is the vector of real numbers of size 30. Also I have pdf which I think may describe the source distribution of my sample. The pdf has ...
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13 views

What statistical test(s) should I run to analyse a directed-tree like data?

Suppose I have data of a kind of binary tree format. There are three levels in the three, thus four different leaf nodes. I would like to find the optimal path from the root node to one of the leaf ...
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1answer
51 views

P values depend on researchers' sampling intentions

John Kruschke has written widely on the misleading information provided by p values. I understand nearly everything he says, although there is one aspect I am a little confused about. Kruschke ...
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1answer
7 views

What's the right test to use to find significance in a table of incidence rates?

I have some data about conversion rates on different browsers, as follows. ...
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0answers
13 views

Testing for consistency in survey data

I have a panel of 6 persons which each have generated 2 recipes (cooking), R1 and R2. I have then asked everyone in the panel to ...
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27 views

Question about Lagrangian Multiplier (Gradient) Statistic of constrained GMM

I am trying to derive the Lagrangian multiplier statistic (GMM version) under a restriction. The question is given below The quadratic form is given by $Q_n(\theta,\alpha)=[m(\theta)', ...
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1answer
99 views

Is Student's t test a Wald test?

Is Student's t test a Wald test? I've read the description of Wald tests from Wasserman's All of Statistics. It seems to me that the Wald test includes t-tests. Is that correct? If not, what makes a ...
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1answer
32 views

Statistical Treatment for Hypothesis test

What statistical treatment should I used to test my hypothesis (there is no significant relationship or interaction between the 2 variables with respect to their preferences) if I have three samples ...
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2answers
162 views
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Test to distinguish periodic from almost periodic data

Suppose I have some unknown function $f$, which I know to fulfill some reasonable conditions like continuity. I know the exact values of $f$ (because the data comes from a simulation) at some ...
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1answer
107 views

How to interpret non-significant interaction term in linear regression?

I have difficulties interpreting an interaction term in a linear regression with regards to my hypothesis. Consider this basic example: H0: Better school grades lead to higher income and this ...
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1answer
20 views

How to compare concentration ratios

I did a spectrometry measurement with the evaluation of the concentration of an element. For the element of interest I've two peaks (with normal distribution). $ C_1 ± \sigma_1 $ where $ \sigma_1 ...
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2answers
63 views

Alternative to z test for massive samples?

I'm trying to compare a number of large data sets (over 3000 samples per set), when I plot histograms of these distributions I can see two which are clearly different and a z-test confirms this, which ...
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39 views

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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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
63 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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49 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
153 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
46 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
46 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
42 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
18 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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29 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
58 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
16 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
41 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 ...
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1answer
113 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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1answer
33 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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28 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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40 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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41 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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55 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 ...
3
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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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16 views

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 ...
3
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2answers
27 views

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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1answer
75 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
47 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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38 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 ...