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One- and two-tailed tests and Student's t-test

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between One- and two-tailed tests and Student's t-test

One- and two-tailed tests vs. Student's t-test

In statistical significance testing, a one-tailed test and a two-tailed test are alternative ways of computing the statistical significance of a parameter inferred from a data set, in terms of a test statistic. The t-test is any statistical hypothesis test in which the test statistic follows a Student's ''t''-distribution under the null hypothesis.

Similarities between One- and two-tailed tests and Student's t-test

One- and two-tailed tests and Student's t-test have 12 things in common (in Unionpedia): Chi-squared distribution, Karl Pearson, Normal distribution, Null hypothesis, P-value, Paired difference test, Sample mean and covariance, Statistical hypothesis testing, Statistical significance, Student's t-distribution, Test statistic, Z-test.

Chi-squared distribution

No description.

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Karl Pearson

Karl Pearson HFRSE LLD (originally named Carl; 27 March 1857 – 27 April 1936) was an English mathematician and biostatistician. He has been credited with establishing the discipline of mathematical statistics. He founded the world's first university statistics department at University College London in 1911, and contributed significantly to the field of biometrics, meteorology, theories of social Darwinism and eugenics. Pearson was also a protégé and biographer of Sir Francis Galton.

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Normal distribution

In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.

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Null hypothesis

In inferential statistics, the term "null hypothesis" is a general statement or default position that there is no relationship between two measured phenomena, or no association among groups.

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P-value

In statistical hypothesis testing, the p-value or probability value or asymptotic significance is the probability for a given statistical model that, when the null hypothesis is true, the statistical summary (such as the sample mean difference between two compared groups) would be the same as or of greater magnitude than the actual observed results.

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Paired difference test

In statistics, a paired difference test is a type of location test that is used when comparing two sets of measurements to assess whether their population means differ.

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Sample mean and covariance

The sample mean or empirical mean and the sample covariance are statistics computed from a collection (the sample) of data on one or more random variables.

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Statistical hypothesis testing

A statistical hypothesis, sometimes called confirmatory data analysis, is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables.

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Statistical significance

In statistical hypothesis testing, a result has statistical significance when it is very unlikely to have occurred given the null hypothesis.

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Student's t-distribution

In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

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Test statistic

A test statistic is a statistic (a quantity derived from the sample) used in statistical hypothesis testing.

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Z-test

A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution.

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The list above answers the following questions

One- and two-tailed tests and Student's t-test Comparison

One- and two-tailed tests has 24 relations, while Student's t-test has 102. As they have in common 12, the Jaccard index is 9.52% = 12 / (24 + 102).

References

This article shows the relationship between One- and two-tailed tests and Student's t-test. To access each article from which the information was extracted, please visit:

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