Applied statistics: principles and examples by David Roxbee Cox, E. J. Snell

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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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.

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