HYPOTHESIS TESTING:Definition,Testing a Statistical Hypothesis,Regression Analysis and Common Abuses of Regression.
HYPOTHESIS TESTING Population parameters (say mean, variance) of any characteristic which are of relevance in most of the statistical studies are rarely known with certainty and thus estimated based on sample information. Estimation of the parameter can be a point estimate or an interval estimate (with confidence interval). However, many problems in engineering science and management require that we decide whether to accept or reject a statement about some parameter(s) of interest. The statement which is challenged is known as a null hypothesis, and the way of decision-making procedure is so-called hypothesis testing. This is one of the most useful techniques for statistical inference. Many types of decision-making problems in the engineering science can be formulated as hypothesis-testing problems. If an engineer is interested in comparing mean of a population to a specified value. These simple comparative experiments are frequently encountered in practice and provide a good foundati...