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Table 12 Robustness Check: First stage regression results for Income (dependent variable) for Cats and Dogs when instrumenting simultaneously

From: The Value of Pets: The Quantifiable Impact of Pets on Life Satisfaction

Instrument

Coefficient

Robust Standard Errors

t-statistic

TOTORO

− 0.037

0.031

− 1.21

Payslip

0.128***

0.026

4.99

Father’s education

0.004***

0.001

4.12

F test (Prob > F)

16.71 (0.00)

  

Sanderson-Windmeijer F test (Prob > F)

63.92 (0.00)

  

Weak Identification Test – Kleinberger Papp Wald F statistic

20.39

  

Weak-instrument-robust inference Anderson-Rubin Wald test Chi sq

90.29

  
  1. Standard errors are clustered at the household level, *, **, ***Significance at 10, 5, 1%
  2. “TOTORO” is our instrumental variable and is a dummy that takes the value 1 if the answer to the question: “When a neighbour is not at home, how often do you and other neighbours watch over their property?” is 1 or 2 (often or sometimes) and 0 if the answer to the question is 3 or 4 (rarely or never)