We propose a novel statistic to test the rank of a matrix. The rank statistic overcomes deficiencies of existing rank statistics, like: a Kronecker covariance matrix for the canonical correlation rank statistic of Anderson [Annals of Mathematical Statistics (1951), 22, 327–351] sensitivity to...

The reliability of traditional asset pricing tests depends on: (1) correlations between asset returns and factors; (2) the time-series sample size T compared to the number of assets N. For macro-risk factors, like consumption growth, (1)-(2) are often such that traditional tests cannot be...