Are you an applied researcher or a statistics student? If so, have
you ever wondered if there is any rhyme or reason behind the
apparent jumble of ad hoc statistical "recipes" that are most
commonly used by researchers? If you have, then this book is for
you Within its pages, the rhyme and reason are explained in a
surprisingly simple, visual and appealing manner. The statistical
methods referred to are those based on the "Normal" distribution.
They include the paired and independent samples t tests, analysis
of variance, and regression. The rhyme is explained by analysing
four case studies, one for each of these topics. The key to the
rhyme is to use elementary vector geometry. Then the crucial ideas
are easily explained by drawing right-angled triangles and applying
Pythagoras' Theorem. "Keep it simple" has been our aim. The
geometric ideas are first introduced and applied to data sets in
two and three dimensions, before we gently introduce higher
dimensional examples. Throughout, we use real data sets taken from
real research studies, and take care to explain the interpretation
of the statistical analyses. In this way, the book integrates the
algebraic, numeric, geometric and practical aspects of these basic
statistical methods. We hope that many students as well as
practicing researchers and statisticians will enjoy this novel
visual approach to these ideas.
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