Correlation and Regression Study Guide Question

Question

Briefly describe 5 general approaches for estimating curvilinear effects. What 2 types are

generally emphasized in psychology by those trained in regression? What one type is

emphasized by those trained primarily in experimentally-based ANOVA approaches?

Answer 1

Hi Kara,

Estimating curvilinear effects in statistics involves various approaches. Five general methods include:

1. Polynomial Regression: This involves fitting a polynomial equation to the data, allowing for curved relationships.

2. Piecewise Regression: The data is divided into different segments, and separate linear models are applied to each segment.

3. Nonlinear Regression: This approach uses mathematical functions other than polynomials, like exponential or logarithmic functions.

4. Splines and Smoothing Techniques: Cubic splines or smoothing methods are applied to create a smooth curve that represents the data.

5. Quadratic Effects in ANOVA: ANOVA can be extended to include quadratic effects, capturing curvilinear relationships.

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