Everything about Z-test
Statistical 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. Z-test tests the mean of a distribution. For each significance level in the confidence interval, the Z-test has a single critical value, which makes it more convenient than the Student's t-test whose critical values are defined by the sample size. Both the Z-test and Student's t-test have similarities in that they both help determine the significance of a set of data. However, the Z-test requires knowing the population deviation, which is sometimes difficult to determine, making the t-test more convenient. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Z-testA 5-minute orientation
- Skim a recent paper: Comparing network structures on three aspects: A permutation test.Influential work since 2022
- Pick up a classic book: Vivir para contarlaThe most-reprinted book on the subject
- Read the landmark paper: Bias in meta-analysis detected by a simple, graphical testCited 50,316 times
- Go sideways: T-statisticA closely related topic
- Go sideways: Sample size determinationA closely related topic
📖 Definitions
Noun Any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution.
Noun A comparison to determine which object should be at the front of the z-buffer.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Bias in meta-analysis detected by a simple, graphical test
A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity
An analysis of variance test for normality (complete samples)
Operating Characteristics of a Rank Correlation Test for Publication Bias
The Timed “Up & Go”: A Test of Basic Functional Mobility for Frail Elderly Persons
On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
A simple panel unit root test in the presence of cross‐section dependence
Development of the Alcohol Use Disorders Identification Test (AUDIT): WHO Collaborative Project on Early Detection of Persons with Harmful Alcohol Consumption‐II
🆕 Influential since 2022
Comparing network structures on three aspects: A permutation test.
Beyond t test and ANOVA: applications of mixed-effects models for more rigorous statistical analysis in neuroscience research
A Cell-free DNA Blood-Based Test for Colorectal Cancer Screening
Highly accurate blood test for Alzheimer’s disease is similar or superior to clinical cerebrospinal fluid tests
An Empirical Evaluation of Using Large Language Models for Automated Unit Test Generation
📚 Books worth reading
Vivir para contarlaGabriel García Márquez · 2002- 📕School-wide assessmentLester Flockton · 1999
Behavioral expressions and biosocial bases of sensation seekingMarvin Zuckerman · 1994
PISA 2000. Basiskompetenzen von Schülerinnen und Schülern im internationalen VergleichJürgen Baumert · 2001
Attain a Happy & Peaceful Life by Nikhil Anshuman · 2019
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Jarque–Bera test In statistics, the Jarque–Bera test is a goodness-of-fit test of whether sample data have the skewness and kurtosis matching a normal distribution. The…
- Two-proportion Z-test The two-proportion Z-test (also called the two-sample proportion Z-test) is a statistical hypothesis test for assessing whether two groups differ in the…
- Noncentral t-distribution The noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes…
- Pivotal quantity In statistics, a pivotal quantity or pivot is a function of observations and unobservable parameters such that the function's probability distribution…
- Student's t-test Student's t-test is a statistical test used to test whether the difference between the response of two groups is statistically significant or not. It is…