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The horned sungem ( Heliactin bilophus) is a species of hummingbird native to Brazil, Bolivia and Suriname. It prefers open habitats such as savanna, grassland and garden, and expanded its range into southern Amazonas and Espírito Santo, probably due to deforestation. It is a small hummingbird with a long tail and a short, black bill.
Fibonacci sequence. A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn .
Pearson correlation coefficient. Several sets of ( x , y) points, with the correlation coefficient of x and y for each set. The correlation reflects the strength and direction of a linear relationship (top row), but not the slope of that relationship (middle), nor many aspects of nonlinear relationships (bottom).
- History
- Other Examples of Chi-Squared Tests
- Yates's Correction For Continuity
- Chi-Squared Test For Variance in A Normal Population
- Example Chi-Squared Test For Categorical Data
- Applications
- See Also
- Further Reading
In the 19th century, statistical analytical methods were mainly applied in biological data analysis and it was customary for researchers to assume that observations followed a normal distribution, such as Sir George Airy and Mansfield Merriman, whose works were criticized by Karl Pearsonin his 1900 paper. At the end of the 19th century, Pearson not...
One test statistic that follows a chi-squared distribution exactly is the test that the variance of a normally distributed population has a given value based on a sample variance. Such tests are uncommon in practice because the true variance of the population is usually unknown. However, there are several statistical tests where the chi-squared dis...
Using the chi-squared distribution to interpret Pearson's chi-squared statistic requires one to assume that the discrete probability of observed binomial frequencies in the table can be approximated by the continuous chi-squared distribution. This assumption is not quite correct and introduces some error. To reduce the error in approximation, Frank...
If a sample of size n is taken from a population having a normal distribution, then there is a result (see distribution of the sample variance) which allows a test to be made of whether the variance of the population has a pre-determined value. For example, a manufacturing process might have been in stable condition for a long period, allowing a va...
Suppose there is a city of 1,000,000 residents with four neighborhoods: A, B, C, and D. A random sample of 650 residents of the city is taken and their occupation is recorded as "white collar", "blue collar", or "no collar". The null hypothesis is that each person's neighborhood of residence is independent of the person's occupational classificatio...
In cryptanalysis, the chi-squared test is used to compare the distribution of plaintext and (possibly) decrypted ciphertext. The lowest value of the test means that the decryption was successful with high probability.This method can be generalized for solving modern cryptographic problems. In bioinformatics, the chi-squared test is used to compare ...
Weisstein, Eric W. "Chi-Squared Test". MathWorld.Corder, G. W.; Foreman, D. I. (2014), Nonparametric Statistics: A Step-by-Step Approach, New York: Wiley, ISBN 978-1118840313Greenwood, Cindy; Nikulin, M. S. (1996), A guide to chi-squared testing, New York: Wiley, ISBN 0-471-55779-XNikulin, M. S. (1973), "Chi-squared test for normality", Proceedings of the International Vilnius Conference on Probability Theory and Mathematical Statistics, vol. 2, pp. 119–122Four UN members (Cuba, Liechtenstein, Monaco and North Korea) do not belong to the IMF hence their economies are not ranked below. Kosovo, despite not being a member of the United Nations, is a member of IMF. Taiwan is not a IMF member but it is still listed in the official IMF indices. Several leading GDP-per-capita (nominal) jurisdictions may ...
History The distribution was first introduced by Siméon Denis Poisson (1781–1840) and published together with his probability theory in his work Recherches sur la probabilité des jugements en matière criminelle et en matière civile (1837).: 205-207 The work theorized about the number of wrongful convictions in a given country by focusing on certain random variables N that count, among ...
Example of samples from two populations with the same mean but different variances. The red population has mean 100 and variance 100 (SD=10) while the blue population has mean 100 and variance 2500 (SD=50) where SD stands for Standard Deviation. In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable.
