An R Introduction to Statistics

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Significance Test for Kendall's Tau-b

  A variation of the standard definition of Kendall correlation coefficient is necessary in order to deal with data samples with tied ranks. It known as the Kendall’s tau-b coefficient and is more effective in determining whether two non-parametric data samples with ties are correlated.

Bayesian Inference Using OpenBUGS

  In our previous statistics tutorials, we have treated population parameters as fixed values, and provided point estimates and confidence intervals for them. An alternative approach is the Bayesian statistics. It treats population parameters as random variables. Probability becomes a measure of our belief in possible outcomes. With new tools like OpenBUGS, tackling new problems requires building new models, instead of creating yet another R command.

Kendall Rank Coefficient

  The correlation coefficient is a measurement of correlation between two random variables. While its computation is straightforward, it is not readily applicable to non-parametric statistics.

Sampling Size of Population Proportion

A tutorial on computing the sampling size for the desired margin of error of population proportion estimate at given confidence level.

Point Estimate of Population Proportion

A tutorial on computing the point estimate of population proportion from a simple random sample.

Sampling Size of Population Mean

A tutorial on computing the sampling size for the desired margin of error of population mean estimate at given confidence level.

Interval Estimate of Population Mean with Unknown Variance

A tutorial on computing the interval estimate of population mean at given confidence level. The variance of the population is assumed to be unknown.