Analysing the association between two variables.
Techniques of linear regression and correlation analysis are discussed and illustrated by means of dentally-related examples.
Biomedical subjects
Publications and source records attributed to J F Osborn.
Techniques of linear regression and correlation analysis are discussed and illustrated by means of dentally-related examples.
A discussion of basic parametric statistical tests of sample proportions and frequencies is concluded with a description of the chi-squared test. The treatment of distribution-free or non-parametric data is then illustrated with examples of the sign test and Wilcoxon's two-sample rank test.
The comparison of two means obtained from either small or large samples and the comparison of two proportions is described, together with the use of logarithmic transformation of quantitative data in order to stabilise variance.
Simple methods of determining whether the difference between a sample mean and a given standard value is likely to be due only to sampling error, or to be real and/or of practical importance, are described. The use of the null hypothesis and of standard normal deviates is discussed, and examples are provided to illustrate the points made.
The concept of probability is introduced, and the role of probability distributions in statistical theory is discussed, with particular reference to the Normal distribution and its characteristics. Sampling and sampling variation are described, together with sampling error, the standard error of the mean, and confidence intervals for determining the likely magnitude of a population mean.
Methods of measuring the general magnitude or central tendency of sets of data are described, including the mean, median and mode. Similarly, methods of determining the degree of dispersion of the observations about the mean, including range, variance, and standard deviation are presented, together with worked practical examples of their use and importance. The use of algebraic notation in statistics is described.
The importance of a knowledge of statistical methods in relation to most aspects of dentistry is discussed. Definitions of terms used in descriptive statistical techniques are provided, together with a review of the techniques themselves.
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