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Polynomials
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- 1Linear vs. everything elselinear is a straight line, everything else is curvilinear
- 2Why are curvilinear ignored in the literature?People generally don't think in terms of polynomial predictions, theories. They don't know how to compute them. They don't know how to create a figure for them. They struggle interpreting them.
- 3The most famous curvilinear?Yerkes-Dodson Law.
Performance x Levels of Arousal
As levels of arousal increase, performance increases descreasingly until it hits an asymptote and then performance increases level off - 4Compute heirarchical regressionMultiply the IV by itself, do nothing with the DV, Enter terms in ascending order ones step at a time, look at the R squared change values
- 5R squared change valuesAny values above .015 should be taken seriously. If below .015 but still registering as significant then perhaps look at it more closely.
- 6Slope on a linear?Constant
- 7slope on a curvilinearis not constant, it changes across the x variable.
- 8Quadratic hasone distinct curve
- 9cubic hastwo distinct curves
- 10In the macro the x values are how many SDs?-2SD - M - 2SD
Mean is the centre point.
This can mean sometimes raw data is left out - 11Any interesting results should be instantly?replicated
- 12If there is a significant linear relationship then perhaps there may be some going on in the data.So take a look at the quadratic and cubic etc.
- 13polynomial relationship qualifies the linear relationship.It tells you more about how the relationship is working. That the Pearsons r is not constant across the whole range of the IV but changes
- 14Shapes of quadratic slopesU-shaped, inverse U-shaped
Upward, downward, level - 15Finding polynomialsBegin with null hypothesis, ora weaker than expected significant correlation, or don't know
- 16Non-sginificant linear is related to quadratic how?It is not. They are all independent. A non-significant linear relationship does not mean that there is not a sig. quadratic. They don't affect the presence of each other
- 17A non-sig quadratic looks like what?A flat line
- 18Does the direction of the analysis/graph, i.e. from x to y or y to x, make a difference?Yes it does. In some instances it has been shown that x can predict y but y does not predict x. x squared and y squared are not mathematically equivalent.
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- Fichas sobre Polynomials, creado por cjjstone el 19/05/2014.
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