Pearson's chi-squared goodness-of-fit test is a statistical test that is used to determine whether or not a given set of observed data is consistent with a specific theoretical distribution. The test is based on the Pearson's chi-squared statistic, which is calculated by summing the squares of the differences between the observed and expected frequencies, divided by the expected frequencies.
The test can be used to test whether a sample of data is consistent with a normal distribution, a binomial distribution, or any other specified theoretical distribution. The null hypothesis for the test is that the observed data are drawn from the specified theoretical distribution, and the alternative hypothesis is that the observed data are not consistent with the theoretical distribution.
The test statistic is calculated using the following formula:
赛钛客rat9χ² = Σ [(O - E)² / E]
where: χ² is the chi-squared statistic O is the observed frequency E is the expected frequency under the null hypothesis
To determine whether or not to reject the null hypothesis, the calculated test statistic is compared to the chi-squared distribution with a number of degrees of freedom equal to the number of categories minus one.湖南城市学院图书馆>石蜡乳液
It's important to keep in mind that a chi-squared test of goodness of fit assumes that the sample is large and the expected frequencies are at least 5.
Keep in mind that the pearson's chi-squared test is sensitive to outliers, this means that the results may be not accurate if the sample is not large enough or have some unusual values.
菊花槐米胶囊翻译：
皮尔森拟合优度检验是一种统计检验，用于确定给定的观察数据是否符合特定的理论分布。该检验基于皮尔森卡方统计量，该统计量由观察频率和期望频率之间差值的平方和组 成，除以期望频率。
该检验可用于测试样本数据是否符合正态分布、二项分布或其他特定理论分布。该检验的零假设是观察数据来自指定理论分布，备择假设是观察数据不符合理论分布。
使用以下公式计算检验统计量：
柳智惠
χ² = Σ [(O - E)² / E]
其中： χ² 是卡方统计量 O 是观察频率 E 是零假设下的期望频率
确定是否拒绝零假设时，需要比较计算出的检验统计量与自由度等于分类数-1的卡方分布。
请注意，卡方拟合优度检验假定样本量足够大且期望频率至少为5。
红外线视频
还要记住卡方拟合优度检验敏感于异常值，所以如果样本不够大或有一些不寻常的值，结果可能不准确。
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