Methodological Variation in Empirical Corporate Finance Todd Mitton 14th March 2022 Background and Research Question Background • Selective publication of statistically significant results •1) Researchers may selectively report desired significant results-- P- hacking •2) Publishers may select statistically significant results by maintaining a bias toward publishing papers that report significant findings. Research Question • Assess the impact of methodological variation on research in corporate finance •1) To what degree are different methodologies employed and accepted in the literature •2) How methodological variation affects the statistical significance of coefficients •3) To what degree can methodological variation enable statistically significant findings •4) Discuss remedies for the excessive reporting of statistical significance 2 A Survey of Methodological Variation Six of the most common categories of regressions in corporate finance: • Profitability, firm value, leverage, investment, payouts, and cash holdings. • In the Journal of Finance, Journal of Financial Economics, and Review of Financial Studies from 2000 to 2018. Variability in dependent variables 3 A Survey of Methodological Variation Variability in dependent variables • The correlations between alternative dependent variables are not particularly high, with a median (average) across all correlations of 0.33 (0.38) 4 A Survey of Methodological Variation Variability in dependent variables Variability in control variables Lack of consistency of control variable usage; lack of standardization in size control usage. 5 A Survey of Methodological Variation Variability in dependent variables Variability in control variables Variability in other methodological decisions 6 A Survey of Methodological Variation Variability in dependent variables Variability in control variables Variability in other methodological decisions Motivation for methodological decisions • For many methodological decisions, a large majority articles provide no reason for the decision. 7 A Survey of Methodological Variation Variability in dependent variables Variability in control variables Variability in other methodological decisions Motivation for methodological decisions Most common methodology 1) Use the most common dependent variable. 2) Include all control variables that are used in a majority of regressions. 3) Use log(total assets) as the size control. 4) Include all industries in the sample. 5) Do not log the explanatory variable. 6) Use the contemporaneous explanatory variable. 7) Winsorize non-indicator variables at the 1st/99th percentiles. 8) Do not log the dependent variable. 9) Use the end-of year denominator on flow/stock dependent variables. 10) when controlling for industry, use two-digit SIC dummies. 8 The impact of Methodology on Statistical Significance Changes in t-statistics Examine how the t-statistic on β changes when changing methods • Purely random explanatory variables • Random variable U as the t-statistic on β using the most common methodology, and the random variable V as the t-statistic on β using the same explanatory variable but an alternative method. • Random variable W =V −U; is the difference in the t-statistic on β when using an alternative method compared to the most common methodology • U and V each having the standard normal distribution [0, 1.13] •When U and V are identical, σUV = 1, then σW is 0 and W is 0; •When U and V are independent σUV = 1, σW is 2, the mean absolute deviation (MAD) of W is 1.13 9 The impact of Methodology on Statistical Significance Changes in t-statistics 10 The impact of Methodology on Statistical Significance Cumulative effects of methodological flexibility 11 Proposed Remedies Robustness checks 12 Proposed Remedies Specification checks perform regressions with all possible combinations of methods and report in graphical form the distribution of results obtained. 13 Proposed Remedies Robustness checks Specification checks Economic significance 14