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第4章

変動の尺度

バリエーションとは?
バリエーションとは?
Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of ...
範囲
範囲
The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the ...
標準偏差
標準偏差
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The ...
平均の標準誤差
平均の標準誤差
The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is ...
標準偏差の計算
標準偏差の計算
The standard deviation is the most common measure of variation. It is a value that tells us how far a data value is from the mean value in a dataset. ...
分散
分散
 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative ...
変動係数
変動係数
The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can ...
標準偏差を解釈するための範囲の経験則
標準偏差を解釈するための範囲の経験則
The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on ...
標準偏差を解釈するための経験的方法
標準偏差を解釈するための経験的方法
The empirical rule, also known as the three-sigma rule, allows a statistician to interpret the standard deviation in a normally distributed dataset. The ...
標準偏差を解釈するチェビシェフの定理
標準偏差を解釈するチェビシェフの定理
Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is ...
平均絶対偏差
平均絶対偏差
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data ...
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