One sample statistic is the sample mean, which is represented by the letter x with a bar over it (pronounced ''x bar''). The sample mean is representative of the population mean, represented by the Greek letter, μ (mu). The equation for the sample mean is found below. x¯=X1+...
Related to Sample variance:population variance var·i·ance (vâr′ē-əns, văr′-) n. 1.The state or quality of being variant or variable; variation:considerable variance in temperature across the region. 2. a.Difference or inconsistency:Your behavior is at variance with your beliefs. ...
To answer this question, we have to come back to the origin of sample variance:Student's t-te...
The formula to calculate the variance from sample data is as follows: {eq}\displaystyle s^2 = \frac {\Sigma (x_i - \bar{x})^2}{n-1} {/eq} The standard deviation is simply the square root of the above equation: {eq}\displaystyle s^2 = \s...
The confidence interval is calculated using the following equation:Sample standard deviation (s)=For a sample size of 17, degrees of freedom equal 16, so =1.746.The confidence interval is calculated asTherefore, the interval spans 109.5943 to 122.8656, meaning its width is equal to approximately...
Consider a finite population P of vectors divided into L strata, and a parameter θ= f(Y1,Y2,...,YL.) where Y1.is the mean of the vectors from stratum i .Let α2(n) denote the variance of where y1.is the average of a sample of n vectors drawn from stratum i .A family of...
The large-sample relative efficiencies of the analysis-of-variance (ANOVA) estimators of variance components and the intraclass correlation coefficient ρ are investigated for the unbalanced single classsification in the context of family studies. The efficiency of an analysis based on the method of ...
where {eq}\mu = \displaystyle\frac{\sum_{i=1}^n x_n}{n} {/eq} denotes the mean of the set. Lesson Quiz Course 26Kviews Sample Variance When the set of numbers represents asample, or a subset, of a larger population under consideration, then thesample varianceis used. Sample varia...
with some slight alterations. For instance, when calculating asamplevariance to estimate apopulationvariance, the denominator of the variance equation becomes N − 1 so that the estimation is unbiased and does not underestimate the population variance. ...
One of the most important features of the equation is that the variance of the variance increases as the fourth power of σ (the population variance). The variance of variance also depends upon n , the number of data included in the computation of s 2 (the sample variance), and on the...