week 3 - introducing interactions into multiple regression models Flashcards

1
Q

what is model comparison

A
  • an approach to multiple regression is to create several models each building upon each other
  • nested models
  • the latest model can differ by +1 predictor
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2
Q

what models do you use

A
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3
Q

what are the problems here

A
  • can lead to p-hacking or HARKing
  • state clearly whether you are in confirmatory or exploratory analysis mode
  • explain process
  • report all models
  • be honest and comprehensive
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4
Q

what shows simple regression

A
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5
Q

what is shown in the presence of two groups

A
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6
Q

how do you show the different rates of change across levels

A
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7
Q

what shows a interaction

A
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8
Q

what are interactions

A
  • when one variable moderates the effect of another variable on the outcome variable
  • when a coefficient for one predictor changes its size when it comes between the levels/values of another predictor
  • the change that one predictor predicts for the outcome variable depends on a specific level of another predictor
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9
Q

what is moderation

A
  • a process for exploring the differing conditions under which two or more variables may work together
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10
Q

what are interaction terms

A
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11
Q

what are the equations for multiple regression

A

y = b0 + b1 * X1 + b2 * X2 + b3 * (X1 * X2) + e

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12
Q

when are interaction terms used

A
  • theory my predict them
  • study design may implicitly suggest them
  • results may suggest them
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13
Q

what is the statistical power of interactions

A
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14
Q

how do you build a model with interactions

A
  • model type is based around research question/hypotheses/theory
  • if this includes an interaction term then build first model
  • if not build an independent predictor model first
  • build further model that includes independent and interaction terms
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