By David Roxbee Cox, E. J. Snell

This ebook might be of curiosity to senior undergraduate and postgraduate scholars of utilized statistics.

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**Additional info for Applied statistics: principles and examples**

**Example text**

These summarizing statistics may be used: (i) as a final summary analysis, conclusions being'drawn by inspection of tables; (ii) as an intermediate stage in analysis, the final analysis being an examination of how the summary statistics, or derived variables,· depend upon explanatory variables; (iii) as a basis for graphical analysis. We discuss graphical methods separately in a moment. Often summarizing statistics are chosen from purely descriptive considerations, as in the literary study, Example C, and in Example E.

These summarizing statistics may be used: (i) as a final summary analysis, conclusions being'drawn by inspection of tables; (ii) as an intermediate stage in analysis, the final analysis being an examination of how the summary statistics, or derived variables,· depend upon explanatory variables; (iii) as a basis for graphical analysis. We discuss graphical methods separately in a moment. Often summarizing statistics are chosen from purely descriptive considerations, as in the literary study, Example C, and in Example E.

The above discussion is for quantitative explanatory variables. 1. A few formulae useful in describing systematic variation: one explanatory variable Linearized form* 1. Line through origin 'I= Px 2. Line 3. Second degree (parabola) 4. General polynomial S. Powerlaw 'I = PoXP, 6. Power law (nonzero origin) 'I == p0(x- 8)P, 7. Exponential decay 'I or growth with zero asymptote (x > 8) = Poe-P,a: log 'I log 'I = Yo+Y1 log x log 'I = Yo+ y,x = Yo+ y1 log(x- 8) 8. Exponential decay 'I = p0 e-P,a:+ Po or growth 9.