ABSTRACT
Inferential statistical methods provide an objective way of deciding whether there are differences between samples, relationships between variables and associations between frequency distributions. The test statistic is a single number calculated from the data. In the same way as the distribution of data values often follows a normal distribution, test statistics also have known probability distributions. The interpretation of a statistical test rests upon this probability of the test statistic occurring by chance. A test statistic is often based on the ratio of explained variation to that which is unexplained. There are many different statistical tests, some of which are specialised and used relatively rarely. Back-transformation of descriptive statistics once data have been transformed successfully, the mean of the transformed data should be used as the measure of central tendency. A statistical test gave the probability of the null hypothesis being true as 0.045.
