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I ran two models between race and capital punishment. However, I recoded race two different ways: Model 1: white coded as 0, blacks coded as

I ran two models between race and capital punishment. However, I recoded race two different ways:

Model 1: white coded as 0, blacks coded as 1

Model 2: blacks coded as 0, whites coded as 1

This gave me the following results:

Model 1

Model 2

Coefficient

-1.081

1.081

Odds for whites

2.472

2.472

Odds for blacks

0.838

0.838

Odds ratio

0.34

2.95

  1. Why the odds ratios are different? Explain it
  2. Show the relation between the odd ratios and coefficient

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