Under the "stricter standard" applicable to the Federal Government, does an executive agency articulate a "legitimate, non-discriminatory reason" for its' employment action where its' proffered employment practice provides no rational basis for the action because it is neither professionally developed, based on a job analysis, nor statistically valid?

Does an executive agency articulate a 'legitimate, non-discriminatory reason' for its employment action under the stricter standard applicable to the federal government where its proffered employment practice provides no rational basis for the action because it is neither professionally developed, based on a job analysis, nor statistically valid?