Exact(4)
If that is also equal, coefficient is the clincher.
Both analysis methods produced an almost equal coefficient of determination (r2) with slight but biologically unimportant differences detectable only at the third decimal place (Table 1).
Our results also revealed an equal coefficient of variation of C∶N∶P ratio and lack of imbalance in C∶P and N∶P ratios between seston and mussels, suggesting that Dreissena are not restricted in the range of their body mass stoichiometry and may not be P limited if they graze on seston (supporting our second hypothesis).
This attribute of the CWT will generate redundant information (i.e., similar or equal coefficient values) that will complicate the accurate identification of the time-frequency coordinates (i.e., ill-posed coordinates) of the ERG components, by introducing an uncertainty factor.
Similar(56)
First, Greg's estimate was from the 1990s; I re-estimated the same kind of rule (with equal coefficients on unemployment and core inflation) in 2010, and got somewhat different coefficients; here's what the picture looks like with the updated numbers: Not so close to exit from the liquidity trap, is it?
Moreover, the identifying assumption about equal coefficients can be tested.
In the final step, the null hypothesis of equal coefficients is tested by testing if the two ratios are equal across the groups11.
11As Neumark points out, failing to reject the null hypothesis of equal coefficients does not decisively rule out the alternative hypothesis of unequal coefficients.
It should be noticed that, inside a DCT band, equal coefficients appear many times which thus lead to the same single coefficient distortion.
The last row in panel C contains the result from testing the identifying assumption of equal coefficients across groups for the observed applicant characteristics.
The high p-value for the Wald statistic suggests that the data is consistent with the identifying assumption of equal coefficients.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com