# Hypothesis Testing

@inproceedings{LebanonHypothesisT, title={Hypothesis Testing}, author={Guy Lebanon} }

We have seen so far two types of statistical estimation frameworks: confidence intervals and point estimation. Hypothesis testing is a third inference framework that is concerned with choosing a hypothesis supported by available data out of a number of competing alternatives. We start with the basic definitions and then proceed to describe a few important cases. We assume that we have data X 1 ,. .. , X n sampled from a distribution characterized by a parameter θ. A hypothesis is a set of…

## 261 Citations

### On the false discovery rates of a frequentist: Asymptotic expansions

- Mathematics
- 2006

Consider a testing problem for the null hypothesis H0 : 2 0. The standard frequentist practice is to reject the null hypothesis when the p-value is smaller than a threshold value , usually 0:05. We…

### Article 7. An introduction to hypothesis testing. Parametric comparison of two groups—2

- MathematicsEmergency medicine journal : EMJ
- 2001

This article discusses dealing with unpaired (independent) parametric data, and a systematic approach is used to determine if the null hypothesis is valid.

### Hypothesis Testing Strategy in Wason’s 2-4-6 Reasoning Task

- Psychology
- 2012

We examined theories of hypothesis testing strategy in Wason’s 2-4-6 task. Twenty-one undergraduate students were given single trials that featured a hypothesis and an example conforming to the…

### Hypothesis Falsification in the 2-4-6 Number Sequence Test: Introducing Imaginary Counterparts

- Psychology
- 2015

Two main cognitive theories predict that people find refuting evidence that falsifies their theorising difficult, if not impossible to consider, even though such reasoning may be pivotal to grounding…

### A Semiparametric Two-Sample Hypothesis Testing Problem for Random Graphs

- Mathematics, Computer Science
- 2017

A semiparametric problem of two-sample hypothesis testing for a class of latent position random graphs is considered and a notion of consistency is formulated and a valid test is proposed for the hypothesis that two finite-dimensional random dot product graphs on a common vertex set have the same generating latent positions.

### A Note on Sufficient Conditions for Valid Unmodified t Testing in Correlation Analysis with Autocorrelated and Heteroscedastic Sample Data

- Mathematics
- 2007

Traditionally, sphericity (i.e., independence and homoscedasticity for raw data) is put forward as the condition to be satisfied by the variance–covariance matrix of at least one of the two…

### Article 6. An introduction to hypothesis testing. Parametric comparison of two groups—1

- MathematicsEmergency medicine journal : EMJ
- 2001

It is shown that statistical inference enables general conclusions to be drawn from specific data, for example estimating a population's mean from a sample mean, which is fundamental to most medical investigations.

### Statistical Tests Based on Reliability and Precision

- Engineering
- 2012

Abstract. The construction of a statistical test is investigated which is based only on “reliability” and “precision” as quality criteria. The reliability of a statistical test is quantified in a…

### Statistical and clinical significance, and how to use confidence intervals to help interpret both.

- MedicineAustralian critical care : official journal of the Confederation of Australian Critical Care Nurses
- 2010

### Guiding new physics searches with unsupervised learning

- Computer ScienceThe European Physical Journal C
- 2019

A statistical test upon a test statistic which measures deviations between two samples, using a Nearest Neighbors approach to estimate the local ratio of the density of points, which is model-independent and non-parametric.