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chi-square
chi-square (kaɪ:ˈskwɛə(r)) [f. chi + square n. 8.] Applied (usu. attrib.) to a test for, or statistic of, comparison between observed and theoretical values (see also quot. 1960). Also chi-squared a. K. Pearson, who devised this test in 1900, called it the ‘goodness of fit test’ or ‘χ2 test’.1936 Da...
Oxford English Dictionary
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Chi-square
The term chi-square, chi-squared, or has various uses in statistics:
chi-square distribution, a continuous probability distribution
chi-square test, name given to some tests using chi-square distribution
chi-square target models, a mathematical model used in radar cross-section
wikipedia.org
en.wikipedia.org
Chi-Square Calculator
The formula of Chi-Square distribution: Generally, we use the following formula to calculate the Chi-Square distribution: ... Standard Deviation vs. Mean: What's ...
www.standarddeviationcalculator.io
Chi-Square Calculator
One of the most common chi-square calculations is determining, given the measured X² value for a set of experiments with a degree of freedom d, the probability ...
www.fourmilab.ch
Chi-Square Goodness of Fit Test | Formula, Guide & Examples - Scribbr
May 24, 2022Example: Chi-square goodness of fit test conditions. You can use a chi-square goodness of fit test to analyze the dog food data because all three conditions have been met: You want to test a hypothesis about the distribution of one categorical variable. The categorical variable is the dog food flavors. You recruited a random sample of 75 dogs.
www.scribbr.com
What does a huge chi-square statistic mean? My chi-square statistic is approximately $2945.0945$. Is this supposed to happen? I followed the formula on this website to a $T$. Could it be because my data is really larg...
With $9$ degrees of freedom? You should expect a number in the range 5 to 20, say. A big values like this means the "null hypothesis" does not fit the data well. Edited, after checking your calculations and rereading your comments. I get the same chi-squared value. It means, your digit counts do not...
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Chi-square automatic interaction detection
Chi-square automatic interaction detection (CHAID) is a decision tree technique based on adjusted significance testing (Bonferroni correction, Holm-Bonferroni Luchman, J.N.; CHAIDFOREST: Stata module to conduct random forest ensemble classification based on chi-square automated interaction detection (CHAID) as
wikipedia.org
en.wikipedia.org
4 Examples of Using Chi-Square Tests in Real Life - Statology
Example 2: Chi-Square Goodness of Fit Test. Suppose a biologist claims that an equal number of four different species of deer enter a certain wooded area in a forest each week. To test this hypothesis, she records the number of each species of deer that enter the wooded area over the course of one week: Species #1: 22 ; Species #2: 20; Species ...
www.statology.org
Self-Study: "Chi-square distribution is a transformation of Pareto distribution" I ran across the following statement on Wikipeia at the following location "chi-square distribution is a transformation of Pareto distr...
You can get from any continuous distribution to a uniform distribution on $(0,1)$ by the probability integral transform. Take it from there. Say $X$ has a Pareto distribution with pdf $$f(x)=\frac{a\theta^a}{x^{a+1}}1_{x>\theta>0}\quad,\,a>0$$ So cdf of $X$ is $$F(x)=1-\left(\frac{\theta}{x}\right)^...
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Minimum chi-square estimation
Finding the minimum chi-square estimate
The minimum chi-square estimate of the population mean λ is the number that minimizes the chi-square statistic That is the minimum chi-square estimate of λ. For that value of λ, the chi-square statistic is about 3.062764. There are 10 cells.
wikipedia.org
en.wikipedia.org
chi-square test for uniform distribution So, i have a hash function which maps a set of possible inputs to a defined range of outputs. I want to test if the mapped outputs are uniformly distributed over the defined ra...
Set up "bins" such that the expected number of data points in each bin is greater than 5 (this recommendation is due to the fact that the Chi-square test Use these differences to form your chi-square statistic (per the wiki page) and then apply the test.
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(-2)*loglikelihood ~ Chi-square? I just vaguely remember that I have learned something like "(-2)*loglikelihood asymptotically follows Chi-square distribution." However, I failed to find the relevant theorems in the ...
It is called Wilks' theorem. It says that minus twice the logarithm of a maximum likelihood ratio statistic asymptotically approaches the chi-squared distribution as the sample size approaches infinity. Take a look at this.
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chi-square distribution with $v = 7$ degrees of freedom Ti-89? I need to figure out the Probability that $Y > 23$ for a chi-square distribution with degrees of freedom $= 7$. The book says to do this with some applet...
There's an online calculator here. Plugging $\chi^2 = 23$ and $df=7$, we get $.0017$. Your calculator calculated the probability that $0 \leq \chi^2 \leq 23$, which is $1-.0017 = .9983$. As I commented above, you could tell that you needed to take $1-p$ instead of $p$ since $\chi^2 > 23$ is an unlik...
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使用R语言进行卡方检验（chi-square test） - 知乎专栏
使用R语言进行卡方检验（chi-square test）. 对于计量资料，临床医学研究中常用的统计分析方法是t检验；而对于计数资料，卡方检验是一个常用的统计分析方法。. 最近看到一篇文章，里面分析了骨巨细胞瘤患者术后复发的比例，其中计数资料使用卡方检验（又称 ...
zhuanlan.zhihu.com
Computing Chi-Square p-value with large degree of freedom (df). I'm using a Chi-square test on a large set of data points, so my degrees of freedom is rather large. So far, none of the online tables I've been able to ...
Thanks to Bartek's answer I realized the results are still applicable, but I'd need to compute the p-values myself for different significance levels. I'll just hard-code these for my usage. Here are my results. If anyone notices an error in them please point them out. For $d.f.=4095$: \begin{array}{...
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