I've been working on a research project using a multi-level regression model, and I'm currently considering the presentation of Hausman test results. I've noticed in some papers that the authors conducted the test but did not include numerical results, only mentioning that the random effects model was deemed more suitable.
I'm curious about reporting Hausman test results. Should these results be reported separately for each model? I understand that if the test is insignificant (p > 0.05), it suggests that the random effects model is more suitable, but I wonder if there's a convention for reporting the test value and additional statistical evidence to support this conclusion, such as a chi-square value.
import pandas as pd
# Sample data for demonstration purposes
data = {'Model': ['Model 1', 'Model 2', 'Model 3', 'Model 4', 'Model 5'],
'Test_Statistic': [1.23, 2.45, 0.98, 3.21, 1.67],
'Degrees_of_Freedom': [5, 7, 4, 6, 5],
'P_Value': [0.56, 0.12, 0.73, 0.04, 0.61]}
results_df = pd.DataFrame(data)
# Display the Hausman test results
print(results_df)
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